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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : CSR001+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 01:09:51 PM UTC 2026

% Result   : Theorem 22.11s 9.93s
% Output   : CNFRefutation 22.11s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f251ERROR: Could not build tree for root c_70475ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X0,X1] :
      ( ( ~ ? [X2] :
              ( terminates(X2,X0,X1)
              & happens(X2,X1) )
        & ~ releasedAt(X0,plus(X1,n1))
        & holdsAt(X0,X1) )
     => holdsAt(X0,plus(X1,n1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',keep_holding) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ( ~ ? [X2] :
              ( ( terminates(X2,X0,X1)
                | initiates(X2,X0,X1) )
              & happens(X2,X1) )
        & releasedAt(X0,X1) )
     => releasedAt(X0,plus(X1,n1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',keep_released) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( ( ~ ? [X2] :
              ( releases(X2,X0,X1)
              & happens(X2,X1) )
        & ~ releasedAt(X0,X1) )
     => ~ releasedAt(X0,plus(X1,n1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',keep_not_released) ).

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

fof(f10,axiom,
    ! [X0,X1,X2] :
      ( ( terminates(X0,X2,X1)
        & happens(X0,X1) )
     => ~ holdsAt(X2,plus(X1,n1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',happens_terminates_not_holds) ).

fof(f11,axiom,
    ! [X0,X1,X2] :
      ( ( releases(X0,X2,X1)
        & happens(X0,X1) )
     => releasedAt(X2,plus(X1,n1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',happens_releases) ).

fof(f12,axiom,
    ! [X0,X1,X2] :
      ( ( ( terminates(X0,X2,X1)
          | initiates(X0,X2,X1) )
        & happens(X0,X1) )
     => ~ releasedAt(X2,plus(X1,n1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',happens_not_released) ).

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

fof(f14,axiom,
    ! [X0,X1,X2] :
      ( terminates(X0,X1,X2)
    <=> ( ( X1 = filling
          & X0 = overflow )
        | ( X1 = filling
          & X0 = tapOff ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',terminates_all_defn) ).

fof(f15,axiom,
    ! [X0,X1,X2] :
      ( releases(X0,X1,X2)
    <=> ? [X3] :
          ( X1 = waterLevel(X3)
          & X0 = tapOn ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',releases_all_defn) ).

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

fof(f22,axiom,
    ! [X0] : filling != waterLevel(X0),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',filling_not_waterLevel) ).

fof(f25,axiom,
    ! [X0,X1] :
      ( waterLevel(X0) = waterLevel(X1)
    <=> X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',distinct_waterLevels) ).

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

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

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

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

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

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

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

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

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

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

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

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

fof(f56,conjecture,
    holdsAt(waterLevel(n3),n4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterLevel_4) ).

fof(f57,negated_conjecture,
    ~ holdsAt(waterLevel(n3),n4),
    inference(negated_conjecture,[status(cth)],[f56]) ).

fof(f58,plain,
    ! [X0,X1,X2] :
      ( initiates(X0,X1,X2)
    <=> ( ? [X4] :
            ( waterLevel(X4) = X1
            & X0 = overflow
            & holdsAt(waterLevel(X4),X2) )
        | ? [X3] :
            ( X1 = waterLevel(X3)
            & X0 = tapOff
            & holdsAt(waterLevel(X3),X2) )
        | ( X1 = spilling
          & X0 = overflow )
        | ( X1 = filling
          & X0 = tapOn ) ) ),
    inference(rectify,[],[f13]) ).

fof(f59,plain,
    ~ holdsAt(waterLevel(n3),n4),
    inference(flattening,[],[f57]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( terminates(X2,X0,X1)
          & happens(X2,X1) )
      | releasedAt(X0,plus(X1,n1))
      | ~ holdsAt(X0,X1)
      | holdsAt(X0,plus(X1,n1)) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( terminates(X2,X0,X1)
          & happens(X2,X1) )
      | releasedAt(X0,plus(X1,n1))
      | ~ holdsAt(X0,X1)
      | holdsAt(X0,plus(X1,n1)) ),
    inference(flattening,[],[f67]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( terminates(X2,X0,X1)
            | initiates(X2,X0,X1) )
          & happens(X2,X1) )
      | ~ releasedAt(X0,X1)
      | releasedAt(X0,plus(X1,n1)) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( terminates(X2,X0,X1)
            | initiates(X2,X0,X1) )
          & happens(X2,X1) )
      | ~ releasedAt(X0,X1)
      | releasedAt(X0,plus(X1,n1)) ),
    inference(flattening,[],[f71]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( releases(X2,X0,X1)
          & happens(X2,X1) )
      | releasedAt(X0,X1)
      | ~ releasedAt(X0,plus(X1,n1)) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( releases(X2,X0,X1)
          & happens(X2,X1) )
      | releasedAt(X0,X1)
      | ~ releasedAt(X0,plus(X1,n1)) ),
    inference(flattening,[],[f73]) ).

fof(f75,plain,
    ! [X0,X1,X2] :
      ( ~ initiates(X0,X2,X1)
      | ~ happens(X0,X1)
      | holdsAt(X2,plus(X1,n1)) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f76,plain,
    ! [X0,X1,X2] :
      ( ~ initiates(X0,X2,X1)
      | ~ happens(X0,X1)
      | holdsAt(X2,plus(X1,n1)) ),
    inference(flattening,[],[f75]) ).

fof(f77,plain,
    ! [X0,X1,X2] :
      ( ~ terminates(X0,X2,X1)
      | ~ happens(X0,X1)
      | ~ holdsAt(X2,plus(X1,n1)) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f78,plain,
    ! [X0,X1,X2] :
      ( ~ terminates(X0,X2,X1)
      | ~ happens(X0,X1)
      | ~ holdsAt(X2,plus(X1,n1)) ),
    inference(flattening,[],[f77]) ).

fof(f79,plain,
    ! [X0,X1,X2] :
      ( ~ releases(X0,X2,X1)
      | ~ happens(X0,X1)
      | releasedAt(X2,plus(X1,n1)) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f80,plain,
    ! [X0,X1,X2] :
      ( ~ releases(X0,X2,X1)
      | ~ happens(X0,X1)
      | releasedAt(X2,plus(X1,n1)) ),
    inference(flattening,[],[f79]) ).

fof(f81,plain,
    ! [X0,X1,X2] :
      ( ( ~ terminates(X0,X2,X1)
        & ~ initiates(X0,X2,X1) )
      | ~ happens(X0,X1)
      | ~ releasedAt(X2,plus(X1,n1)) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f82,plain,
    ! [X0,X1,X2] :
      ( ( ~ terminates(X0,X2,X1)
        & ~ initiates(X0,X2,X1) )
      | ~ happens(X0,X1)
      | ~ releasedAt(X2,plus(X1,n1)) ),
    inference(flattening,[],[f81]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( ( terminates(sK4(X0,X1),X0,X1)
        & happens(sK4(X0,X1),X1) )
      | releasedAt(X0,plus(X1,n1))
      | ~ holdsAt(X0,X1)
      | holdsAt(X0,plus(X1,n1)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f68]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( ( ( terminates(sK6(X0,X1),X0,X1)
          | initiates(sK6(X0,X1),X0,X1) )
        & happens(sK6(X0,X1),X1) )
      | ~ releasedAt(X0,X1)
      | releasedAt(X0,plus(X1,n1)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X2,sK6(X0,X1))],[f72]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( ( releases(sK7(X0,X1),X0,X1)
        & happens(sK7(X0,X1),X1) )
      | releasedAt(X0,X1)
      | ~ releasedAt(X0,plus(X1,n1)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0,X1))],[f74]) ).

fof(f96,plain,
    ! [X2,X0,X1] :
      ( ( ~ sP1(X2,X0,X1)
        | ? [X3] :
            ( X1 = waterLevel(X3)
            & X0 = tapOff
            & holdsAt(waterLevel(X3),X2) ) )
      & ( ! [X3] :
            ( waterLevel(X3) != X1
            | tapOff != X0
            | ~ holdsAt(waterLevel(X3),X2) )
        | sP1(X2,X0,X1) ) ),
    inference(nnf_transformation,[],[f89]) ).

fof(f97,plain,
    ! [X0,X1,X2] :
      ( ( ~ sP1(X0,X1,X2)
        | ? [X4] :
            ( waterLevel(X4) = X2
            & tapOff = X1
            & holdsAt(waterLevel(X4),X0) ) )
      & ( ! [X3] :
            ( waterLevel(X3) != X2
            | tapOff != X1
            | ~ holdsAt(waterLevel(X3),X0) )
        | sP1(X0,X1,X2) ) ),
    inference(rectify,[],[f96]) ).

fof(f98,plain,
    ! [X0,X1,X2] :
      ( ( ~ sP1(X0,X1,X2)
        | ( waterLevel(sK8(X0,X1,X2)) = X2
          & tapOff = X1
          & holdsAt(waterLevel(sK8(X0,X1,X2)),X0) ) )
      & ( ! [X3] :
            ( waterLevel(X3) != X2
            | tapOff != X1
            | ~ holdsAt(waterLevel(X3),X0) )
        | sP1(X0,X1,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X4,sK8(X0,X1,X2))],[f97]) ).

fof(f102,plain,
    ! [X0,X1,X2] :
      ( ( ~ initiates(X0,X1,X2)
        | sP0(X2,X0,X1)
        | sP1(X2,X0,X1)
        | ( X1 = spilling
          & X0 = overflow )
        | ( X1 = filling
          & X0 = tapOn ) )
      & ( ( ~ sP0(X2,X0,X1)
          & ~ sP1(X2,X0,X1)
          & ( spilling != X1
            | overflow != X0 )
          & ( filling != X1
            | tapOn != X0 ) )
        | initiates(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f90]) ).

fof(f103,plain,
    ! [X0,X1,X2] :
      ( ( ~ initiates(X0,X1,X2)
        | sP0(X2,X0,X1)
        | sP1(X2,X0,X1)
        | ( X1 = spilling
          & X0 = overflow )
        | ( X1 = filling
          & X0 = tapOn ) )
      & ( ( ~ sP0(X2,X0,X1)
          & ~ sP1(X2,X0,X1)
          & ( spilling != X1
            | overflow != X0 )
          & ( filling != X1
            | tapOn != X0 ) )
        | initiates(X0,X1,X2) ) ),
    inference(flattening,[],[f102]) ).

fof(f104,plain,
    ! [X0,X1,X2] :
      ( ( ~ terminates(X0,X1,X2)
        | ( X1 = filling
          & X0 = overflow )
        | ( X1 = filling
          & X0 = tapOff ) )
      & ( ( ( filling != X1
            | overflow != X0 )
          & ( filling != X1
            | tapOff != X0 ) )
        | terminates(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f14]) ).

fof(f105,plain,
    ! [X0,X1,X2] :
      ( ( ~ terminates(X0,X1,X2)
        | ( X1 = filling
          & X0 = overflow )
        | ( X1 = filling
          & X0 = tapOff ) )
      & ( ( ( filling != X1
            | overflow != X0 )
          & ( filling != X1
            | tapOff != X0 ) )
        | terminates(X0,X1,X2) ) ),
    inference(flattening,[],[f104]) ).

fof(f106,plain,
    ! [X0,X1,X2] :
      ( ( ~ releases(X0,X1,X2)
        | ? [X3] :
            ( X1 = waterLevel(X3)
            & X0 = tapOn ) )
      & ( ! [X3] :
            ( waterLevel(X3) != X1
            | tapOn != X0 )
        | releases(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f15]) ).

fof(f107,plain,
    ! [X0,X1,X2] :
      ( ( ~ releases(X0,X1,X2)
        | ? [X4] :
            ( waterLevel(X4) = X1
            & X0 = tapOn ) )
      & ( ! [X3] :
            ( waterLevel(X3) != X1
            | tapOn != X0 )
        | releases(X0,X1,X2) ) ),
    inference(rectify,[],[f106]) ).

fof(f108,plain,
    ! [X0,X1,X2] :
      ( ( ~ releases(X0,X1,X2)
        | ( waterLevel(sK10(X0,X1)) = X1
          & X0 = tapOn ) )
      & ( ! [X3] :
            ( waterLevel(X3) != X1
            | tapOn != X0 )
        | releases(X0,X1,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X4,sK10(X0,X1))],[f107]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( ( ~ happens(X0,X1)
        | ( X0 = overflow
          & holdsAt(filling,X1)
          & holdsAt(waterLevel(n3),X1) )
        | ( X1 = n0
          & X0 = tapOn ) )
      & ( ( ( overflow != X0
            | ~ holdsAt(filling,X1)
            | ~ holdsAt(waterLevel(n3),X1) )
          & ( n0 != X1
            | tapOn != X0 ) )
        | happens(X0,X1) ) ),
    inference(nnf_transformation,[],[f16]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( ( ~ happens(X0,X1)
        | ( X0 = overflow
          & holdsAt(filling,X1)
          & holdsAt(waterLevel(n3),X1) )
        | ( X1 = n0
          & X0 = tapOn ) )
      & ( ( ( overflow != X0
            | ~ holdsAt(filling,X1)
            | ~ holdsAt(waterLevel(n3),X1) )
          & ( n0 != X1
            | tapOn != X0 ) )
        | happens(X0,X1) ) ),
    inference(flattening,[],[f109]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( ( waterLevel(X0) != waterLevel(X1)
        | X0 = X1 )
      & ( X0 != X1
        | waterLevel(X0) = waterLevel(X1) ) ),
    inference(nnf_transformation,[],[f25]) ).

fof(f112,plain,
    ! [X0,X1] :
      ( ( ~ less_or_equal(X0,X1)
        | X0 = X1
        | less(X0,X1) )
      & ( ( X0 != X1
          & ~ less(X0,X1) )
        | less_or_equal(X0,X1) ) ),
    inference(nnf_transformation,[],[f37]) ).

fof(f113,plain,
    ! [X0,X1] :
      ( ( ~ less_or_equal(X0,X1)
        | X0 = X1
        | less(X0,X1) )
      & ( ( X0 != X1
          & ~ less(X0,X1) )
        | less_or_equal(X0,X1) ) ),
    inference(flattening,[],[f112]) ).

fof(f114,plain,
    ! [X0] :
      ( ( ~ less(X0,n1)
        | less_or_equal(X0,n0) )
      & ( ~ less_or_equal(X0,n0)
        | less(X0,n1) ) ),
    inference(nnf_transformation,[],[f39]) ).

fof(f115,plain,
    ! [X0] :
      ( ( ~ less(X0,n2)
        | less_or_equal(X0,n1) )
      & ( ~ less_or_equal(X0,n1)
        | less(X0,n2) ) ),
    inference(nnf_transformation,[],[f40]) ).

fof(f116,plain,
    ! [X0] :
      ( ( ~ less(X0,n3)
        | less_or_equal(X0,n2) )
      & ( ~ less_or_equal(X0,n2)
        | less(X0,n3) ) ),
    inference(nnf_transformation,[],[f41]) ).

fof(f117,plain,
    ! [X0] :
      ( ( ~ less(X0,n4)
        | less_or_equal(X0,n3) )
      & ( ~ less_or_equal(X0,n3)
        | less(X0,n4) ) ),
    inference(nnf_transformation,[],[f42]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( ( ~ less(X0,X1)
        | ( X1 != X0
          & ~ less(X1,X0) ) )
      & ( X0 = X1
        | less(X1,X0)
        | less(X0,X1) ) ),
    inference(nnf_transformation,[],[f48]) ).

fof(f124,plain,
    ! [X0,X1] :
      ( ( ~ less(X0,X1)
        | ( X1 != X0
          & ~ less(X1,X0) ) )
      & ( X0 = X1
        | less(X1,X0)
        | less(X0,X1) ) ),
    inference(flattening,[],[f123]) ).

fof(f130,plain,
    ! [X0,X1] :
      ( terminates(sK4(X0,X1),X0,X1)
      | releasedAt(X0,plus(X1,n1))
      | ~ holdsAt(X0,X1)
      | holdsAt(X0,plus(X1,n1)) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( happens(sK4(X0,X1),X1)
      | releasedAt(X0,plus(X1,n1))
      | ~ holdsAt(X0,X1)
      | holdsAt(X0,plus(X1,n1)) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f135,plain,
    ! [X0,X1] :
      ( happens(sK6(X0,X1),X1)
      | ~ releasedAt(X0,X1)
      | releasedAt(X0,plus(X1,n1)) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( happens(sK7(X0,X1),X1)
      | releasedAt(X0,X1)
      | ~ releasedAt(X0,plus(X1,n1)) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f138,plain,
    ! [X2,X0,X1] :
      ( ~ initiates(X0,X2,X1)
      | ~ happens(X0,X1)
      | holdsAt(X2,plus(X1,n1)) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f139,plain,
    ! [X2,X0,X1] :
      ( ~ terminates(X0,X2,X1)
      | ~ happens(X0,X1)
      | ~ holdsAt(X2,plus(X1,n1)) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f140,plain,
    ! [X2,X0,X1] :
      ( ~ releases(X0,X2,X1)
      | ~ happens(X0,X1)
      | releasedAt(X2,plus(X1,n1)) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f142,plain,
    ! [X2,X0,X1] :
      ( ~ initiates(X0,X2,X1)
      | ~ happens(X0,X1)
      | ~ releasedAt(X2,plus(X1,n1)) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f146,plain,
    ! [X2,X3,X0,X1] :
      ( waterLevel(X3) != X2
      | tapOff != X1
      | ~ holdsAt(waterLevel(X3),X0)
      | sP1(X0,X1,X2) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f155,plain,
    ! [X2,X0,X1] :
      ( ~ sP0(X2,X0,X1)
      | initiates(X0,X1,X2) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f156,plain,
    ! [X2,X0,X1] :
      ( ~ sP1(X2,X0,X1)
      | initiates(X0,X1,X2) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f158,plain,
    ! [X2,X0,X1] :
      ( filling != X1
      | tapOn != X0
      | initiates(X0,X1,X2) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f163,plain,
    ! [X2,X0,X1] :
      ( filling != X1
      | overflow != X0
      | terminates(X0,X1,X2) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f164,plain,
    ! [X2,X0,X1] :
      ( filling != X1
      | tapOff != X0
      | terminates(X0,X1,X2) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f165,plain,
    ! [X2,X0,X1] :
      ( ~ releases(X0,X1,X2)
      | waterLevel(sK10(X0,X1)) = X1 ),
    inference(cnf_transformation,[],[f108]) ).

fof(f167,plain,
    ! [X2,X3,X0,X1] :
      ( waterLevel(X3) != X1
      | tapOn != X0
      | releases(X0,X1,X2) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f169,plain,
    ! [X0,X1] :
      ( ~ happens(X0,X1)
      | holdsAt(filling,X1)
      | n0 = X1 ),
    inference(cnf_transformation,[],[f110]) ).

fof(f170,plain,
    ! [X0,X1] :
      ( ~ happens(X0,X1)
      | holdsAt(waterLevel(n3),X1)
      | n0 = X1 ),
    inference(cnf_transformation,[],[f110]) ).

fof(f174,plain,
    ! [X0,X1] :
      ( overflow != X0
      | ~ holdsAt(filling,X1)
      | ~ holdsAt(waterLevel(n3),X1)
      | happens(X0,X1) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f175,plain,
    ! [X0,X1] :
      ( n0 != X1
      | tapOn != X0
      | happens(X0,X1) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f181,plain,
    ! [X0] : filling != waterLevel(X0),
    inference(cnf_transformation,[],[f22]) ).

fof(f184,plain,
    ! [X0,X1] :
      ( waterLevel(X0) != waterLevel(X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f111]) ).

fof(f187,plain,
    n1 = plus(n0,n1),
    inference(cnf_transformation,[],[f27]) ).

fof(f190,plain,
    n2 = plus(n1,n1),
    inference(cnf_transformation,[],[f30]) ).

fof(f191,plain,
    n3 = plus(n1,n2),
    inference(cnf_transformation,[],[f31]) ).

fof(f192,plain,
    plus(n1,n3) = n4,
    inference(cnf_transformation,[],[f32]) ).

fof(f196,plain,
    ! [X0,X1] : plus(X0,X1) = plus(X1,X0),
    inference(cnf_transformation,[],[f36]) ).

fof(f198,plain,
    ! [X0,X1] :
      ( X0 != X1
      | less_or_equal(X0,X1) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f199,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | less_or_equal(X0,X1) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f202,plain,
    ! [X0] :
      ( ~ less_or_equal(X0,n0)
      | less(X0,n1) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f203,plain,
    ! [X0] :
      ( ~ less(X0,n2)
      | less_or_equal(X0,n1) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f204,plain,
    ! [X0] :
      ( ~ less_or_equal(X0,n1)
      | less(X0,n2) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f205,plain,
    ! [X0] :
      ( ~ less(X0,n3)
      | less_or_equal(X0,n2) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f206,plain,
    ! [X0] :
      ( ~ less_or_equal(X0,n2)
      | less(X0,n3) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f207,plain,
    ! [X0] :
      ( ~ less(X0,n4)
      | less_or_equal(X0,n3) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f208,plain,
    ! [X0] :
      ( ~ less_or_equal(X0,n3)
      | less(X0,n4) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f219,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f124]) ).

fof(f228,plain,
    holdsAt(waterLevel(n3),n3),
    inference(cnf_transformation,[],[f55]) ).

fof(f229,plain,
    ~ holdsAt(waterLevel(n3),n4),
    inference(cnf_transformation,[],[f59]) ).

fof(f230,plain,
    ! [X2,X3,X0] :
      ( waterLevel(X3) != X2
      | ~ holdsAt(waterLevel(X3),X0)
      | sP1(X0,tapOff,X2) ),
    inference(equality_resolution,[],[f146]) ).

fof(f231,plain,
    ! [X3,X0] :
      ( ~ holdsAt(waterLevel(X3),X0)
      | sP1(X0,tapOff,waterLevel(X3)) ),
    inference(equality_resolution,[],[f230]) ).

fof(f234,plain,
    ! [X2,X1] :
      ( filling != X1
      | initiates(tapOn,X1,X2) ),
    inference(equality_resolution,[],[f158]) ).

fof(f235,plain,
    ! [X2] : initiates(tapOn,filling,X2),
    inference(equality_resolution,[],[f234]) ).

fof(f238,plain,
    ! [X2,X1] :
      ( filling != X1
      | terminates(tapOff,X1,X2) ),
    inference(equality_resolution,[],[f164]) ).

fof(f239,plain,
    ! [X2] : terminates(tapOff,filling,X2),
    inference(equality_resolution,[],[f238]) ).

fof(f240,plain,
    ! [X2,X1] :
      ( filling != X1
      | terminates(overflow,X1,X2) ),
    inference(equality_resolution,[],[f163]) ).

fof(f241,plain,
    ! [X2] : terminates(overflow,filling,X2),
    inference(equality_resolution,[],[f240]) ).

fof(f242,plain,
    ! [X2,X3,X1] :
      ( waterLevel(X3) != X1
      | releases(tapOn,X1,X2) ),
    inference(equality_resolution,[],[f167]) ).

fof(f243,plain,
    ! [X2,X3] : releases(tapOn,waterLevel(X3),X2),
    inference(equality_resolution,[],[f242]) ).

fof(f244,plain,
    ! [X1] :
      ( n0 != X1
      | happens(tapOn,X1) ),
    inference(equality_resolution,[],[f175]) ).

fof(f245,plain,
    happens(tapOn,n0),
    inference(equality_resolution,[],[f244]) ).

fof(f246,plain,
    ! [X1] :
      ( ~ holdsAt(filling,X1)
      | ~ holdsAt(waterLevel(n3),X1)
      | happens(overflow,X1) ),
    inference(equality_resolution,[],[f174]) ).

fof(f249,plain,
    ! [X1] : less_or_equal(X1,X1),
    inference(equality_resolution,[],[f198]) ).

fof(f250,plain,
    ! [X1] : ~ less(X1,X1),
    inference(equality_resolution,[],[f219]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i] :
      ( releasedAt(X0,plus(X1,n1))
      | holdsAt(X0,plus(X1,n1))
      | happens(sK4(X0,X1),X1)
      | ~ holdsAt(X0,X1) ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_55,plain,
    ! [X0: $i,X1: $i] :
      ( releasedAt(X0,plus(X1,n1))
      | holdsAt(X0,plus(X1,n1))
      | terminates(sK4(X0,X1),X0,X1)
      | ~ holdsAt(X0,X1) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i] :
      ( releasedAt(X0,plus(X1,n1))
      | happens(sK6(X0,X1),X1)
      | ~ releasedAt(X0,X1) ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_60,plain,
    ! [X0: $i,X1: $i] :
      ( releasedAt(X0,X1)
      | happens(sK7(X0,X1),X1)
      | ~ releasedAt(X0,plus(X1,n1)) ),
    inference(cnf_transformation,[],[f137]) ).

tcf(c_62,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( holdsAt(X1,plus(X2,n1))
      | ~ happens(X0,X2)
      | ~ initiates(X0,X1,X2) ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_63,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ happens(X2,X1)
      | ~ terminates(X2,X0,X1)
      | ~ holdsAt(X0,plus(X1,n1)) ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_64,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( releasedAt(X1,plus(X2,n1))
      | ~ happens(X0,X2)
      | ~ releases(X0,X1,X2) ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_65,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ happens(X2,X1)
      | ~ initiates(X2,X0,X1)
      | ~ releasedAt(X0,plus(X1,n1)) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_67,plain,
    ! [X0: $i,X1: $i] :
      ( sP1(X1,tapOff,waterLevel(X0))
      | ~ holdsAt(waterLevel(X0),X1) ),
    inference(cnf_transformation,[],[f231]) ).

tcf(c_75,plain,
    ! [X0: $i] : initiates(tapOn,filling,X0),
    inference(cnf_transformation,[],[f235]) ).

tcf(c_77,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( initiates(X1,X2,X0)
      | ~ sP1(X0,X1,X2) ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_78,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( initiates(X1,X2,X0)
      | ~ sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_83,plain,
    ! [X0: $i] : terminates(tapOff,filling,X0),
    inference(cnf_transformation,[],[f239]) ).

tcf(c_84,plain,
    ! [X0: $i] : terminates(overflow,filling,X0),
    inference(cnf_transformation,[],[f241]) ).

tcf(c_88,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = filling )
      | ~ terminates(X0,X1,X2) ),
    inference(cnf_transformation,[],[f251]) ).

tcf(c_89,plain,
    ! [X0: $i,X1: $i] : releases(tapOn,waterLevel(X0),X1),
    inference(cnf_transformation,[],[f243]) ).

tcf(c_91,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( waterLevel(sK10(X0,X1)) = X1 )
      | ~ releases(X0,X1,X2) ),
    inference(cnf_transformation,[],[f165]) ).

tcf(c_92,plain,
    happens(tapOn,n0),
    inference(cnf_transformation,[],[f245]) ).

tcf(c_93,plain,
    ! [X0: $i] :
      ( happens(overflow,X0)
      | ~ holdsAt(filling,X0)
      | ~ holdsAt(waterLevel(n3),X0) ),
    inference(cnf_transformation,[],[f246]) ).

tcf(c_97,plain,
    ! [X0: $i,X1: $i] :
      ( holdsAt(waterLevel(n3),X1)
      | ( X1 = n0 )
      | ~ happens(X0,X1) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_98,plain,
    ! [X0: $i,X1: $i] :
      ( holdsAt(filling,X1)
      | ( X1 = n0 )
      | ~ happens(X0,X1) ),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_105,plain,
    ! [X0: $i] : waterLevel(X0) != filling,
    inference(cnf_transformation,[],[f181]) ).

tcf(c_108,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ( waterLevel(X0) != waterLevel(X1) ) ),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_110,plain,
    plus(n0,n1) = n1,
    inference(cnf_transformation,[],[f187]) ).

tcf(c_113,plain,
    plus(n1,n1) = n2,
    inference(cnf_transformation,[],[f190]) ).

tcf(c_114,plain,
    plus(n1,n2) = n3,
    inference(cnf_transformation,[],[f191]) ).

tcf(c_115,plain,
    plus(n1,n3) = n4,
    inference(cnf_transformation,[],[f192]) ).

tcf(c_119,plain,
    ! [X0: $i,X1: $i] : plus(X0,X1) = plus(X1,X0),
    inference(cnf_transformation,[],[f196]) ).

tcf(c_120,plain,
    ! [X0: $i,X1: $i] :
      ( less_or_equal(X0,X1)
      | ~ less(X0,X1) ),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_121,plain,
    ! [X0: $i] : less_or_equal(X0,X0),
    inference(cnf_transformation,[],[f249]) ).

tcf(c_124,plain,
    ! [X0: $i] :
      ( less(X0,n1)
      | ~ less_or_equal(X0,n0) ),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_126,plain,
    ! [X0: $i] :
      ( less(X0,n2)
      | ~ less_or_equal(X0,n1) ),
    inference(cnf_transformation,[],[f204]) ).

tcf(c_127,plain,
    ! [X0: $i] :
      ( less_or_equal(X0,n1)
      | ~ less(X0,n2) ),
    inference(cnf_transformation,[],[f203]) ).

tcf(c_128,plain,
    ! [X0: $i] :
      ( less(X0,n3)
      | ~ less_or_equal(X0,n2) ),
    inference(cnf_transformation,[],[f206]) ).

tcf(c_129,plain,
    ! [X0: $i] :
      ( less_or_equal(X0,n2)
      | ~ less(X0,n3) ),
    inference(cnf_transformation,[],[f205]) ).

tcf(c_130,plain,
    ! [X0: $i] :
      ( less(X0,n4)
      | ~ less_or_equal(X0,n3) ),
    inference(cnf_transformation,[],[f208]) ).

tcf(c_131,plain,
    ! [X0: $i] :
      ( less_or_equal(X0,n3)
      | ~ less(X0,n4) ),
    inference(cnf_transformation,[],[f207]) ).

tcf(c_144,plain,
    ! [X0: $i] : ~ less(X0,X0),
    inference(cnf_transformation,[],[f250]) ).

tcf(c_151,plain,
    holdsAt(waterLevel(n3),n3),
    inference(cnf_transformation,[],[f228]) ).

tcf(c_152,negated_conjecture,
    ~ holdsAt(waterLevel(n3),n4),
    inference(cnf_transformation,[],[f229]) ).

tcf(c_153,plain,
    less_or_equal(n1,n1),
    inference(instantiation,[status(thm)],[c_121]) ).

tcf(c_154,plain,
    ~ less(n1,n1),
    inference(instantiation,[status(thm)],[c_144]) ).

tcf(c_178,plain,
    ( less(n1,n2)
    | ~ less_or_equal(n1,n1) ),
    inference(instantiation,[status(thm)],[c_126]) ).

tcf(c_233,plain,
    ! [X0: $i] :
      ( less(X0,n1)
      | ~ less_or_equal(X0,n0) ),
    inference(prop_impl_just,[status(thm)],[c_124]) ).

tcf(c_235,plain,
    ! [X0: $i] :
      ( ~ less(X0,n2)
      | less_or_equal(X0,n1) ),
    inference(prop_impl_just,[status(thm)],[c_127]) ).

tcf(c_236,plain,
    ! [X0: $i] :
      ( less_or_equal(X0,n1)
      | ~ less(X0,n2) ),
    inference(renaming,[status(thm)],[c_235]) ).

tcf(c_239,plain,
    ! [X0: $i] :
      ( ~ less(X0,n3)
      | less_or_equal(X0,n2) ),
    inference(prop_impl_just,[status(thm)],[c_129]) ).

tcf(c_240,plain,
    ! [X0: $i] :
      ( less_or_equal(X0,n2)
      | ~ less(X0,n3) ),
    inference(renaming,[status(thm)],[c_239]) ).

tcf(c_241,plain,
    ! [X0: $i] :
      ( less(X0,n3)
      | ~ less_or_equal(X0,n2) ),
    inference(prop_impl_just,[status(thm)],[c_128]) ).

tcf(c_243,plain,
    ! [X0: $i] :
      ( ~ less(X0,n4)
      | less_or_equal(X0,n3) ),
    inference(prop_impl_just,[status(thm)],[c_131]) ).

tcf(c_244,plain,
    ! [X0: $i] :
      ( less_or_equal(X0,n3)
      | ~ less(X0,n4) ),
    inference(renaming,[status(thm)],[c_243]) ).

tcf(c_245,plain,
    ! [X0: $i] :
      ( less(X0,n4)
      | ~ less_or_equal(X0,n3) ),
    inference(prop_impl_just,[status(thm)],[c_130]) ).

tcf(c_277,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( waterLevel(sK10(X0,X1)) = X1 )
      | ~ releases(X0,X1,X2) ),
    inference(prop_impl_just,[status(thm)],[c_91]) ).

tcf(c_305,plain,
    ! [X0: $i,X1: $i] :
      ( less_or_equal(X0,X1)
      | ~ less(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_120]) ).

tcf(c_1022,plain,
    plus(n1,n0) = n1,
    inference(demodulation,[status(thm)],[c_110,c_119]) ).

tcf(c_1372,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( waterLevel(sK10(X0,X2)) = X2 )
      | ( X3 != X4 )
      | ( X0 != tapOn )
      | ( waterLevel(X1) != X2 ) ),
    inference(resolution_lifted,[status(thm)],[c_277,c_89]) ).

tcf(c_1373,plain,
    ! [X0: $i] : waterLevel(sK10(tapOn,waterLevel(X0))) = waterLevel(X0),
    inference(unflattening,[status(thm)],[c_1372]) ).

tcf(c_1380,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( releasedAt(X2,plus(X3,n1))
      | ~ happens(X0,X3)
      | ( X3 != X4 )
      | ( X0 != tapOn )
      | ( waterLevel(X1) != X2 ) ),
    inference(resolution_lifted,[status(thm)],[c_64,c_89]) ).

tcf(c_1381,plain,
    ! [X0: $i,X1: $i] :
      ( releasedAt(waterLevel(X1),plus(X0,n1))
      | ~ happens(tapOn,X0) ),
    inference(unflattening,[status(thm)],[c_1380]) ).

tcf(c_2757,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( less(X1,n3)
      | ~ less(X0,X2)
      | ( X2 != n2 )
      | ( X0 != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_305,c_241]) ).

tcf(c_2758,plain,
    ! [X0: $i] :
      ( less(X0,n3)
      | ~ less(X0,n2) ),
    inference(unflattening,[status(thm)],[c_2757]) ).

tcf(c_2759,plain,
    ( less(n1,n3)
    | ~ less(n1,n2) ),
    inference(instantiation,[status(thm)],[c_2758]) ).

tcf(c_2778,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( less(X1,n4)
      | ~ less(X0,X2)
      | ( X2 != n3 )
      | ( X0 != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_305,c_245]) ).

tcf(c_2779,plain,
    ! [X0: $i] :
      ( less(X0,n4)
      | ~ less(X0,n3) ),
    inference(unflattening,[status(thm)],[c_2778]) ).

tcf(c_2780,plain,
    ( less(n1,n4)
    | ~ less(n1,n3) ),
    inference(instantiation,[status(thm)],[c_2779]) ).

tcf(c_2951,plain,
    ! [X0: $i,X1: $i] :
      ( less(X0,n1)
      | ~ less(X1,n2)
      | ( n0 != n1 )
      | ( X0 != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_233,c_236]) ).

tcf(c_2952,plain,
    ! [X0: $i] :
      ( less(X0,n1)
      | ~ less(X0,n2)
      | ( n0 != n1 ) ),
    inference(unflattening,[status(thm)],[c_2951]) ).

tcf(c_2953,plain,
    ( less(n1,n1)
    | ~ less(n1,n2)
    | ( n0 != n1 ) ),
    inference(instantiation,[status(thm)],[c_2952]) ).

tcf(c_2969,plain,
    ! [X0: $i,X1: $i] :
      ( less(X0,n1)
      | ~ less(X1,n3)
      | ( n0 != n2 )
      | ( X0 != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_233,c_240]) ).

tcf(c_2970,plain,
    ! [X0: $i] :
      ( less(X0,n1)
      | ~ less(X0,n3)
      | ( n0 != n2 ) ),
    inference(unflattening,[status(thm)],[c_2969]) ).

tcf(c_2971,plain,
    ( less(n1,n1)
    | ~ less(n1,n3)
    | ( n0 != n2 ) ),
    inference(instantiation,[status(thm)],[c_2970]) ).

tcf(c_2987,plain,
    ! [X0: $i,X1: $i] :
      ( less(X0,n1)
      | ~ less(X1,n4)
      | ( n0 != n3 )
      | ( X0 != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_233,c_244]) ).

tcf(c_2988,plain,
    ! [X0: $i] :
      ( less(X0,n1)
      | ~ less(X0,n4)
      | ( n0 != n3 ) ),
    inference(unflattening,[status(thm)],[c_2987]) ).

tcf(c_2989,plain,
    ( less(n1,n1)
    | ~ less(n1,n4)
    | ( n0 != n3 ) ),
    inference(instantiation,[status(thm)],[c_2988]) ).

tcf(c_5385,plain,
    ! [X0: $i,X1: $i] :
      ( releasedAt(waterLevel(X1),plus(X0,n1))
      | ~ happens(tapOn,X0) ),
    inference(prop_impl_just,[status(thm)],[c_1381]) ).

tcf(c_9982,definition,
    iPr_def_10 = waterLevel(n3),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_9983,negated_conjecture,
    ~ holdsAt(iPr_def_10,n4),
    inference(demodulation,[status(thm)],[c_152,c_9982]) ).

tcf(c_11663,plain,
    holdsAt(iPr_def_10,n3),
    inference(light_normalisation,[status(thm)],[c_151,c_9982]) ).

tcf(c_11665,plain,
    filling != iPr_def_10,
    inference(superposition,[status(thm)],[c_9982,c_105]) ).

tcf(c_11669,plain,
    ! [X0: $i] :
      ( ( X0 = n3 )
      | ( waterLevel(X0) != iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_9982,c_108]) ).

tcf(c_11690,plain,
    waterLevel(sK10(tapOn,iPr_def_10)) = iPr_def_10,
    inference(superposition,[status(thm)],[c_9982,c_1373]) ).

tcf(c_11785,plain,
    sK10(tapOn,iPr_def_10) = n3,
    inference(superposition,[status(thm)],[c_11690,c_11669]) ).

tcf(c_11793,plain,
    waterLevel(n3) = iPr_def_10,
    inference(demodulation,[status(thm)],[c_11690,c_11785]) ).

tcf(c_11967,plain,
    ! [X0: $i] :
      ( sP1(X0,tapOff,iPr_def_10)
      | ~ holdsAt(waterLevel(n3),X0) ),
    inference(superposition,[status(thm)],[c_9982,c_67]) ).

tcf(c_11970,plain,
    ! [X0: $i] :
      ( sP1(X0,tapOff,iPr_def_10)
      | ~ holdsAt(iPr_def_10,X0) ),
    inference(light_normalisation,[status(thm)],[c_11967,c_11793]) ).

tcf(c_12111,plain,
    ! [X0: $i,X1: $i] :
      ( releasedAt(waterLevel(X1),plus(n1,X0))
      | ~ happens(tapOn,X0) ),
    inference(superposition,[status(thm)],[c_119,c_5385]) ).

tcf(c_12336,plain,
    ! [X0: $i] :
      ( happens(overflow,X0)
      | ~ holdsAt(iPr_def_10,X0)
      | ~ holdsAt(filling,X0) ),
    inference(light_normalisation,[status(thm)],[c_93,c_11793]) ).

tcf(c_12390,plain,
    ! [X0: $i,X1: $i] :
      ( holdsAt(iPr_def_10,X1)
      | ( X1 = n0 )
      | ~ happens(X0,X1) ),
    inference(light_normalisation,[status(thm)],[c_97,c_11793]) ).

tcf(c_12497,plain,
    ! [X0: $i] :
      ( releasedAt(X0,n2)
      | happens(sK6(X0,n1),n1)
      | ~ releasedAt(X0,n1) ),
    inference(superposition,[status(thm)],[c_113,c_58]) ).

tcf(c_12557,plain,
    ! [X0: $i] :
      ( releasedAt(X0,n1)
      | happens(sK7(X0,n1),n1)
      | ~ releasedAt(X0,n2) ),
    inference(superposition,[status(thm)],[c_113,c_60]) ).

tcf(c_12558,plain,
    ! [X0: $i,X1: $i] :
      ( releasedAt(X0,X1)
      | happens(sK7(X0,X1),X1)
      | ~ releasedAt(X0,plus(n1,X1)) ),
    inference(superposition,[status(thm)],[c_119,c_60]) ).

tcf(c_12619,plain,
    ! [X0: $i] :
      ( initiates(tapOff,iPr_def_10,X0)
      | ~ holdsAt(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_11970,c_77]) ).

tcf(c_12667,plain,
    ! [X0: $i] :
      ( releasedAt(waterLevel(X0),n1)
      | ~ happens(tapOn,n0) ),
    inference(superposition,[status(thm)],[c_1022,c_12111]) ).

tcf(c_12669,plain,
    ! [X0: $i] : releasedAt(waterLevel(X0),n1),
    inference(forward_subsumption_resolution,[status(thm)],[c_12667,c_92]) ).

tcf(c_12693,plain,
    ! [X0: $i] :
      ( holdsAt(filling,plus(X0,n1))
      | ~ happens(tapOn,X0) ),
    inference(superposition,[status(thm)],[c_75,c_62]) ).

tcf(c_12752,plain,
    ! [X0: $i,X1: $i] :
      ( ~ holdsAt(X1,n2)
      | ~ happens(X0,n1)
      | ~ terminates(X0,X1,n1) ),
    inference(superposition,[status(thm)],[c_113,c_63]) ).

tcf(c_12753,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ happens(X2,X1)
      | ~ terminates(X2,X0,X1)
      | ~ holdsAt(X0,plus(n1,X1)) ),
    inference(superposition,[status(thm)],[c_119,c_63]) ).

tcf(c_12770,plain,
    releasedAt(iPr_def_10,n1),
    inference(superposition,[status(thm)],[c_11793,c_12669]) ).

tcf(c_12853,plain,
    ! [X0: $i] :
      ( holdsAt(filling,plus(n1,X0))
      | ~ happens(tapOn,X0) ),
    inference(superposition,[status(thm)],[c_119,c_12693]) ).

tcf(c_12926,plain,
    ! [X0: $i,X1: $i] :
      ( ~ releasedAt(X1,n2)
      | ~ happens(X0,n1)
      | ~ initiates(X0,X1,n1) ),
    inference(superposition,[status(thm)],[c_113,c_65]) ).

tcf(c_12927,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ happens(X2,X1)
      | ~ initiates(X2,X0,X1)
      | ~ releasedAt(X0,plus(n1,X1)) ),
    inference(superposition,[status(thm)],[c_119,c_65]) ).

tcf(c_13099,plain,
    ( holdsAt(filling,n1)
    | ~ happens(tapOn,n0) ),
    inference(superposition,[status(thm)],[c_1022,c_12853]) ).

tcf(c_13102,plain,
    holdsAt(filling,n1),
    inference(forward_subsumption_resolution,[status(thm)],[c_13099,c_92]) ).

tcf(c_13117,plain,
    ( happens(overflow,n1)
    | ~ holdsAt(iPr_def_10,n1) ),
    inference(superposition,[status(thm)],[c_13102,c_12336]) ).

tcf(c_13189,plain,
    ! [X0: $i] :
      ( releasedAt(X0,n2)
      | holdsAt(X0,plus(n1,n1))
      | happens(sK4(X0,n1),n1)
      | ~ holdsAt(X0,n1) ),
    inference(superposition,[status(thm)],[c_113,c_54]) ).

tcf(c_13190,plain,
    ! [X0: $i,X1: $i] :
      ( releasedAt(X0,plus(n1,X1))
      | holdsAt(X0,plus(X1,n1))
      | happens(sK4(X0,X1),X1)
      | ~ holdsAt(X0,X1) ),
    inference(superposition,[status(thm)],[c_119,c_54]) ).

tcf(c_13201,plain,
    ! [X0: $i] :
      ( releasedAt(X0,n2)
      | holdsAt(X0,n2)
      | happens(sK4(X0,n1),n1)
      | ~ holdsAt(X0,n1) ),
    inference(light_normalisation,[status(thm)],[c_13189,c_113]) ).

tcf(c_13336,plain,
    ! [X0: $i,X1: $i] :
      ( releasedAt(X0,plus(X1,n1))
      | holdsAt(X0,plus(X1,n1))
      | ( X0 = filling )
      | ~ holdsAt(X0,X1) ),
    inference(superposition,[status(thm)],[c_55,c_88]) ).

tcf(c_23120,plain,
    ( happens(overflow,n3)
    | ~ holdsAt(filling,n3)
    | ~ holdsAt(waterLevel(n3),n3) ),
    inference(instantiation,[status(thm)],[c_93]) ).

tcf(c_24346,plain,
    ! [X0: $i] :
      ( holdsAt(iPr_def_10,n1)
      | releasedAt(X0,n2)
      | ( n0 = n1 )
      | ~ releasedAt(X0,n1) ),
    inference(superposition,[status(thm)],[c_12497,c_12390]) ).

tcf(c_24378,plain,
    ! [X0: $i] :
      ( holdsAt(iPr_def_10,n1)
      | releasedAt(X0,n1)
      | ( n0 = n1 )
      | ~ releasedAt(X0,n2) ),
    inference(superposition,[status(thm)],[c_12557,c_12390]) ).

tcf(c_25618,plain,
    ( ~ holdsAt(filling,n2)
    | ~ happens(overflow,n1) ),
    inference(superposition,[status(thm)],[c_84,c_12752]) ).

tcf(c_25829,plain,
    ( ~ releasedAt(iPr_def_10,n2)
    | ~ holdsAt(iPr_def_10,n1)
    | ~ happens(tapOff,n1) ),
    inference(superposition,[status(thm)],[c_12619,c_12926]) ).

tcf(c_26388,plain,
    ! [X0: $i] :
      ( releasedAt(X0,n2)
      | happens(sK7(X0,n2),n2)
      | ~ releasedAt(X0,n3) ),
    inference(superposition,[status(thm)],[c_114,c_12558]) ).

tcf(c_26389,plain,
    ! [X0: $i] :
      ( releasedAt(X0,n3)
      | happens(sK7(X0,n3),n3)
      | ~ releasedAt(X0,n4) ),
    inference(superposition,[status(thm)],[c_115,c_12558]) ).

tcf(c_26447,plain,
    ! [X0: $i] :
      ( holdsAt(iPr_def_10,n2)
      | releasedAt(X0,n2)
      | ( n0 = n2 )
      | ~ releasedAt(X0,n3) ),
    inference(superposition,[status(thm)],[c_26388,c_12390]) ).

tcf(c_26450,plain,
    ! [X0: $i] :
      ( holdsAt(filling,n2)
      | releasedAt(X0,n2)
      | ( n0 = n2 )
      | ~ releasedAt(X0,n3) ),
    inference(superposition,[status(thm)],[c_26388,c_98]) ).

tcf(c_26492,plain,
    ! [X0: $i] :
      ( holdsAt(filling,n3)
      | releasedAt(X0,n3)
      | ( n0 = n3 )
      | ~ releasedAt(X0,n4) ),
    inference(superposition,[status(thm)],[c_26389,c_98]) ).

tcf(c_28857,plain,
    ! [X0: $i] :
      ( holdsAt(filling,n2)
      | releasedAt(X0,n2)
      | ~ releasedAt(X0,n3) ),
    inference(global_subsumption_just,[status(thm)],[c_26450,c_153,c_154,c_178,c_2759,c_2971,c_26450]) ).

tcf(c_29558,plain,
    ! [X0: $i,X1: $i] :
      ( ~ holdsAt(X1,n3)
      | ~ happens(X0,n2)
      | ~ terminates(X0,X1,n2) ),
    inference(superposition,[status(thm)],[c_114,c_12753]) ).

tcf(c_29606,plain,
    ( ~ holdsAt(filling,n3)
    | ~ happens(tapOff,n2) ),
    inference(superposition,[status(thm)],[c_83,c_29558]) ).

tcf(c_29677,plain,
    ! [X0: $i] :
      ( holdsAt(iPr_def_10,n1)
      | releasedAt(X0,n2)
      | ~ releasedAt(X0,n1) ),
    inference(global_subsumption_just,[status(thm)],[c_24346,c_153,c_154,c_178,c_2953,c_24346]) ).

tcf(c_29689,plain,
    ( releasedAt(iPr_def_10,n2)
    | holdsAt(iPr_def_10,n1) ),
    inference(superposition,[status(thm)],[c_12770,c_29677]) ).

tcf(c_29782,plain,
    ! [X0: $i,X1: $i] :
      ( ~ releasedAt(X1,n3)
      | ~ happens(X0,n2)
      | ~ initiates(X0,X1,n2) ),
    inference(superposition,[status(thm)],[c_114,c_12927]) ).

tcf(c_29786,plain,
    ! [X0: $i,X1: $i] :
      ( ~ releasedAt(X1,n1)
      | ~ happens(X0,n0)
      | ~ initiates(X0,X1,n0) ),
    inference(superposition,[status(thm)],[c_1022,c_12927]) ).

tcf(c_30079,plain,
    ( ~ releasedAt(filling,n1)
    | ~ happens(tapOn,n0) ),
    inference(superposition,[status(thm)],[c_75,c_29786]) ).

tcf(c_30089,plain,
    ~ releasedAt(filling,n1),
    inference(forward_subsumption_resolution,[status(thm)],[c_30079,c_92]) ).

tcf(c_30098,plain,
    ! [X0: $i] :
      ( holdsAt(iPr_def_10,n1)
      | releasedAt(X0,n1)
      | ~ releasedAt(X0,n2) ),
    inference(global_subsumption_just,[status(thm)],[c_24378,c_153,c_154,c_178,c_2953,c_24378]) ).

tcf(c_30512,plain,
    ! [X0: $i] :
      ( holdsAt(iPr_def_10,n1)
      | releasedAt(X0,n2)
      | holdsAt(X0,n2)
      | ( n0 = n1 )
      | ~ holdsAt(X0,n1) ),
    inference(superposition,[status(thm)],[c_13201,c_12390]) ).

tcf(c_30801,plain,
    ! [X0: $i] :
      ( holdsAt(iPr_def_10,n2)
      | releasedAt(X0,n2)
      | ~ releasedAt(X0,n3) ),
    inference(global_subsumption_just,[status(thm)],[c_26447,c_153,c_154,c_178,c_2759,c_2971,c_26447]) ).

tcf(c_36598,plain,
    ! [X0: $i] :
      ( holdsAt(iPr_def_10,n1)
      | releasedAt(X0,n2)
      | holdsAt(X0,n2)
      | ~ holdsAt(X0,n1) ),
    inference(global_subsumption_just,[status(thm)],[c_30512,c_153,c_154,c_178,c_2953,c_30512]) ).

tcf(c_36611,plain,
    ( releasedAt(filling,n2)
    | holdsAt(iPr_def_10,n1)
    | holdsAt(filling,n2) ),
    inference(superposition,[status(thm)],[c_13102,c_36598]) ).

tcf(c_36634,plain,
    ( releasedAt(filling,n1)
    | holdsAt(iPr_def_10,n1)
    | holdsAt(filling,n2) ),
    inference(superposition,[status(thm)],[c_36611,c_30098]) ).

tcf(c_36640,plain,
    ( holdsAt(iPr_def_10,n1)
    | holdsAt(filling,n2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_36634,c_30089]) ).

tcf(c_36678,plain,
    ( holdsAt(iPr_def_10,n1)
    | happens(overflow,n2)
    | ~ holdsAt(iPr_def_10,n2) ),
    inference(superposition,[status(thm)],[c_36640,c_12336]) ).

tcf(c_38719,plain,
    ! [X0: $i,X1: $i] :
      ( releasedAt(X0,plus(n1,X1))
      | holdsAt(X0,plus(X1,n1))
      | ( X0 = filling )
      | ~ holdsAt(X0,X1) ),
    inference(superposition,[status(thm)],[c_119,c_13336]) ).

tcf(c_45555,plain,
    ! [X0: $i] :
      ( releasedAt(X0,n4)
      | holdsAt(X0,plus(n3,n1))
      | ( X0 = filling )
      | ~ holdsAt(X0,n3) ),
    inference(superposition,[status(thm)],[c_115,c_38719]) ).

tcf(c_45697,plain,
    ! [X0: $i] :
      ( releasedAt(X0,n4)
      | holdsAt(X0,n4)
      | ( X0 = filling )
      | ~ holdsAt(X0,n3) ),
    inference(demodulation,[status(thm)],[c_45555,c_115,c_119]) ).

tcf(c_45712,plain,
    ( releasedAt(iPr_def_10,n4)
    | holdsAt(iPr_def_10,n4)
    | ( filling = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_11663,c_45697]) ).

tcf(c_45717,plain,
    releasedAt(iPr_def_10,n4),
    inference(forward_subsumption_resolution,[status(thm)],[c_45712,c_9983,c_11665]) ).

tcf(c_70173,plain,
    ! [X0: $i] :
      ( releasedAt(X0,n3)
      | holdsAt(X0,plus(n2,n1))
      | happens(sK4(X0,n2),n2)
      | ~ holdsAt(X0,n2) ),
    inference(superposition,[status(thm)],[c_114,c_13190]) ).

tcf(c_70289,plain,
    ! [X0: $i] :
      ( releasedAt(X0,n3)
      | holdsAt(X0,n3)
      | happens(sK4(X0,n2),n2)
      | ~ holdsAt(X0,n2) ),
    inference(demodulation,[status(thm)],[c_70173,c_114,c_119]) ).

tcf(c_70303,plain,
    ! [X0: $i] :
      ( holdsAt(iPr_def_10,n2)
      | releasedAt(X0,n3)
      | holdsAt(X0,n3)
      | ( n0 = n2 )
      | ~ holdsAt(X0,n2) ),
    inference(superposition,[status(thm)],[c_70289,c_12390]) ).

fof(f88,definition,
    ! [X2,X0,X1] :
      ( sP0(X2,X0,X1)
    <=> ? [X4] :
          ( waterLevel(X4) = X1
          & X0 = overflow
          & holdsAt(waterLevel(X4),X2) ) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f89,definition,
    ! [X2,X0,X1] :
      ( sP1(X2,X0,X1)
    <=> ? [X3] :
          ( X1 = waterLevel(X3)
          & X0 = tapOff
          & holdsAt(waterLevel(X3),X2) ) ),
    introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).

fof(f90,plain,
    ! [X0,X1,X2] :
      ( initiates(X0,X1,X2)
    <=> ( sP0(X2,X0,X1)
        | sP1(X2,X0,X1)
        | ( X1 = spilling
          & X0 = overflow )
        | ( X1 = filling
          & X0 = tapOn ) ) ),
    inference(definition_folding,[],[f58,f89,f88]) ).

fof(f99,plain,
    ! [X2,X0,X1] :
      ( ( ~ sP0(X2,X0,X1)
        | ? [X4] :
            ( waterLevel(X4) = X1
            & X0 = overflow
            & holdsAt(waterLevel(X4),X2) ) )
      & ( ! [X4] :
            ( waterLevel(X4) != X1
            | overflow != X0
            | ~ holdsAt(waterLevel(X4),X2) )
        | sP0(X2,X0,X1) ) ),
    inference(nnf_transformation,[],[f88]) ).

fof(f100,plain,
    ! [X0,X1,X2] :
      ( ( ~ sP0(X0,X1,X2)
        | ? [X4] :
            ( waterLevel(X4) = X2
            & overflow = X1
            & holdsAt(waterLevel(X4),X0) ) )
      & ( ! [X3] :
            ( waterLevel(X3) != X2
            | overflow != X1
            | ~ holdsAt(waterLevel(X3),X0) )
        | sP0(X0,X1,X2) ) ),
    inference(rectify,[],[f99]) ).

fof(f101,plain,
    ! [X0,X1,X2] :
      ( ( ~ sP0(X0,X1,X2)
        | ( waterLevel(sK9(X0,X1,X2)) = X2
          & overflow = X1
          & holdsAt(waterLevel(sK9(X0,X1,X2)),X0) ) )
      & ( ! [X3] :
            ( waterLevel(X3) != X2
            | overflow != X1
            | ~ holdsAt(waterLevel(X3),X0) )
        | sP0(X0,X1,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X4,sK9(X0,X1,X2))],[f100]) ).

fof(f150,plain,
    ! [X2,X3,X0,X1] :
      ( waterLevel(X3) != X2
      | overflow != X1
      | ~ holdsAt(waterLevel(X3),X0)
      | sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f232,plain,
    ! [X2,X3,X0] :
      ( waterLevel(X3) != X2
      | ~ holdsAt(waterLevel(X3),X0)
      | sP0(X0,overflow,X2) ),
    inference(equality_resolution,[],[f150]) ).

fof(f233,plain,
    ! [X3,X0] :
      ( ~ holdsAt(waterLevel(X3),X0)
      | sP0(X0,overflow,waterLevel(X3)) ),
    inference(equality_resolution,[],[f232]) ).

tcf(c_71,plain,
    ! [X0: $i,X1: $i] :
      ( sP0(X1,overflow,waterLevel(X0))
      | ~ holdsAt(waterLevel(X0),X1) ),
    inference(cnf_transformation,[],[f233]) ).

tcf(c_11980,plain,
    ! [X0: $i] :
      ( sP0(X0,overflow,iPr_def_10)
      | ~ holdsAt(waterLevel(n3),X0) ),
    inference(superposition,[status(thm)],[c_9982,c_71]) ).

tcf(c_11983,plain,
    ! [X0: $i] :
      ( sP0(X0,overflow,iPr_def_10)
      | ~ holdsAt(iPr_def_10,X0) ),
    inference(light_normalisation,[status(thm)],[c_11980,c_11793]) ).

tcf(c_12632,plain,
    ! [X0: $i] :
      ( initiates(overflow,iPr_def_10,X0)
      | ~ holdsAt(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_11983,c_78]) ).

tcf(c_12785,plain,
    ! [X0: $i] :
      ( holdsAt(iPr_def_10,plus(X0,n1))
      | ~ holdsAt(iPr_def_10,X0)
      | ~ happens(overflow,X0) ),
    inference(superposition,[status(thm)],[c_12632,c_62]) ).

tcf(c_25714,plain,
    ! [X0: $i] :
      ( holdsAt(iPr_def_10,plus(n1,X0))
      | ~ holdsAt(iPr_def_10,X0)
      | ~ happens(overflow,X0) ),
    inference(superposition,[status(thm)],[c_119,c_12785]) ).

tcf(c_25830,plain,
    ( ~ releasedAt(iPr_def_10,n2)
    | ~ holdsAt(iPr_def_10,n1)
    | ~ happens(overflow,n1) ),
    inference(superposition,[status(thm)],[c_12632,c_12926]) ).

tcf(c_25874,plain,
    ( ~ releasedAt(iPr_def_10,n2)
    | ~ holdsAt(iPr_def_10,n1) ),
    inference(global_subsumption_just,[status(thm)],[c_25829,c_13117,c_25830]) ).

tcf(c_26066,plain,
    ( holdsAt(iPr_def_10,n4)
    | ~ holdsAt(iPr_def_10,n3)
    | ~ happens(overflow,n3) ),
    inference(superposition,[status(thm)],[c_115,c_25714]) ).

tcf(c_26074,plain,
    ~ happens(overflow,n3),
    inference(forward_subsumption_resolution,[status(thm)],[c_26066,c_9983,c_11663]) ).

tcf(c_28896,plain,
    ! [X0: $i] :
      ( ~ releasedAt(X0,n4)
      | releasedAt(X0,n3) ),
    inference(global_subsumption_just,[status(thm)],[c_26492,c_153,c_151,c_154,c_178,c_2759,c_2780,c_2989,c_23120,c_26074,c_26492]) ).

tcf(c_28897,plain,
    ! [X0: $i] :
      ( releasedAt(X0,n3)
      | ~ releasedAt(X0,n4) ),
    inference(renaming,[status(thm)],[c_28896]) ).

tcf(c_29624,plain,
    ~ holdsAt(filling,n3),
    inference(global_subsumption_just,[status(thm)],[c_29606,c_151,c_23120,c_26074]) ).

tcf(c_29859,plain,
    ( ~ releasedAt(iPr_def_10,n3)
    | ~ holdsAt(iPr_def_10,n2)
    | ~ happens(overflow,n2) ),
    inference(superposition,[status(thm)],[c_12632,c_29782]) ).

tcf(c_45767,plain,
    releasedAt(iPr_def_10,n3),
    inference(superposition,[status(thm)],[c_45717,c_28897]) ).

tcf(c_45768,plain,
    ( ~ holdsAt(iPr_def_10,n2)
    | ~ happens(overflow,n2) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_29859,c_45767]) ).

tcf(c_45778,plain,
    ( releasedAt(iPr_def_10,n2)
    | holdsAt(filling,n2) ),
    inference(superposition,[status(thm)],[c_45767,c_28857]) ).

tcf(c_45788,plain,
    releasedAt(iPr_def_10,n2),
    inference(global_subsumption_just,[status(thm)],[c_45778,c_13117,c_25618,c_29689,c_45778]) ).

tcf(c_45790,plain,
    ~ holdsAt(iPr_def_10,n1),
    inference(backward_subsumption_resolution,[status(thm)],[c_25874,c_45788]) ).

tcf(c_45794,plain,
    holdsAt(filling,n2),
    inference(backward_subsumption_resolution,[status(thm)],[c_36640,c_45790]) ).

tcf(c_45804,plain,
    ! [X0: $i] :
      ( releasedAt(X0,n1)
      | ~ releasedAt(X0,n2) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_30098,c_45790]) ).

tcf(c_45851,plain,
    ~ holdsAt(iPr_def_10,n2),
    inference(global_subsumption_just,[status(thm)],[c_45768,c_13117,c_25618,c_25874,c_29689,c_29859,c_36678,c_45767,c_45778]) ).

tcf(c_45859,plain,
    ! [X0: $i] :
      ( releasedAt(X0,n2)
      | ~ releasedAt(X0,n3) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_30801,c_45851]) ).

tcf(c_70308,plain,
    ! [X0: $i] :
      ( releasedAt(X0,n3)
      | holdsAt(X0,n3)
      | ( n0 = n2 )
      | ~ holdsAt(X0,n2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_70303,c_45851]) ).

tcf(c_70438,plain,
    ! [X0: $i] :
      ( releasedAt(X0,n3)
      | holdsAt(X0,n3)
      | ~ holdsAt(X0,n2) ),
    inference(global_subsumption_just,[status(thm)],[c_70308,c_153,c_154,c_178,c_2759,c_2971,c_70308]) ).

tcf(c_70449,plain,
    ( releasedAt(filling,n3)
    | holdsAt(filling,n3) ),
    inference(superposition,[status(thm)],[c_45794,c_70438]) ).

tcf(c_70450,plain,
    releasedAt(filling,n3),
    inference(forward_subsumption_resolution,[status(thm)],[c_70449,c_29624]) ).

tcf(c_70458,plain,
    releasedAt(filling,n2),
    inference(superposition,[status(thm)],[c_70450,c_45859]) ).

tcf(c_70473,plain,
    releasedAt(filling,n1),
    inference(superposition,[status(thm)],[c_70458,c_45804]) ).

tcf(c_70475,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_70473,c_30089]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR001+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.39  % Computer : n004.cluster.edu
% 0.14/5.39  % Model    : x86_64 x86_64
% 0.14/5.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/5.39  % Memory   : 8046.5625MB
% 0.14/5.39  % OS       : Linux 6.8.0-71-generic
% 0.14/5.39  % CPULimit : 300
% 0.14/5.39  % WCLimit  : 300
% 0.14/5.39  % DateTime : Fri Sep 25 08:05:27 UTC 2026
% 0.14/5.39  % CPUTime  : 
% 0.14/5.39  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.19/5.44  Running first-order theorem proving
% 0.19/5.44  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/5.45  
% 0.19/5.45  % ======== iProver multi-core TPTP/SMT =========
% 0.19/5.45  
% 0.19/5.45  % Detected problem language: tptp
% 0.19/5.46  % Proving...
% 22.11/9.93  % SZS status Started for theBenchmark.p
% 22.11/9.93  % SZS status Theorem for theBenchmark.p
% 22.11/9.93  
% 22.11/9.93  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 22.11/9.93  
% 22.11/9.93  % ------  iProver source info
% 22.11/9.93  
% 22.11/9.93  % git: date: 2026-07-19 20:42:38 +0200
% 22.11/9.93  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 22.11/9.93  % git: non_committed_changes: false
% 22.11/9.93  
% 22.11/9.93  % ------ Parsing...
% 22.11/9.93  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 22.11/9.93  
% 22.11/9.93  % ------ Preprocessing... sup_sim: 2  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 3 0s  sf_e  pe_s  pe_e % 
% 22.11/9.93  
% 22.11/9.93  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 22.11/9.93  
% 22.11/9.93  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 22.11/9.93  % ------ Proving...
% 22.11/9.93  % ------ Problem Properties 
% 22.11/9.93  
% 22.11/9.93  % 
% 22.11/9.93  % clauses                               101
% 22.11/9.93  % conjectures                           1
% 22.11/9.93  % EPR                                   53
% 22.11/9.93  % Horn                                  78
% 22.11/9.93  % unary                                 35
% 22.11/9.93  % binary                                37
% 22.11/9.93  % lits                                  210
% 22.11/9.93  % lits eq                               49
% 22.11/9.93  % fd_pure                               0
% 22.11/9.93  % fd_pseudo                             0
% 22.11/9.93  % fd_cond                               14
% 22.11/9.93  % fd_pseudo_cond                        4
% 22.11/9.93  % AC symbols                            0
% 22.11/9.93  
% 22.11/9.93  % ------ Schedule dynamic 5 is on 
% 22.11/9.93  
% 22.11/9.93  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 22.11/9.93  
% 22.11/9.93  
% 22.11/9.93  % ------ 
% 22.11/9.93  % Current options:
% 22.11/9.93  % ------ 
% 22.11/9.93  
% 22.11/9.93  
% 22.11/9.93  % 
% 22.11/9.93  
% 22.11/9.93  % ------ Proving...
% 22.11/9.93  % 
% 22.11/9.93  
% 22.11/9.93  % SZS status Theorem for theBenchmark.p
% 22.11/9.93  
% 22.11/9.93  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 22.11/9.94  
% 22.11/9.94  
%------------------------------------------------------------------------------