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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : CSR009+1 : 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 : n001.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 01:09:52 PM UTC 2026

% Result   : Theorem 138.66s 39.27s
% Output   : CNFRefutation 138.66s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f89ERROR: Could not build tree for root c_564779ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1,X2] :
      ( stoppedIn(X0,X1,X2)
    <=> ? [X3,X4] :
          ( terminates(X3,X1,X4)
          & less(X4,X2)
          & less(X0,X4)
          & happens(X3,X4) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',stoppedin_defn) ).

fof(f3,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( ~ stoppedIn(X1,X2,plus(X1,X4))
        & trajectory(X2,X1,X3,X4)
        & less(n0,X4)
        & initiates(X0,X2,X1)
        & happens(X0,X1) )
     => holdsAt(X3,plus(X1,X4)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',change_holding) ).

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(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(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(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(f17,axiom,
    ! [X0,X1,X2,X3] :
      ( ( X2 = plus(X0,X3)
        & holdsAt(waterLevel(X0),X1) )
     => trajectory(filling,X1,waterLevel(X2),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',change_of_waterLevel) ).

fof(f18,axiom,
    ! [X0,X1,X2] :
      ( ( holdsAt(waterLevel(X2),X0)
        & holdsAt(waterLevel(X1),X0) )
     => X1 = X2 ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',same_waterLevel) ).

fof(f21,axiom,
    overflow != tapOn,
    file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',overflow_not_tapOn) ).

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

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(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(f38,axiom,
    ~ ? [X0] : less(X0,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less0) ).

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

fof(f49,axiom,
    holdsAt(waterLevel(n0),n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterLevel_0) ).

fof(f55,conjecture,
    holdsAt(filling,n2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',filling_2) ).

fof(f56,negated_conjecture,
    ~ holdsAt(filling,n2),
    inference(negated_conjecture,[status(cth)],[f55]) ).

fof(f58,plain,
    ~ holdsAt(filling,n2),
    inference(flattening,[],[f56]) ).

fof(f60,plain,
    ! [X0,X1,X2] :
      ( stoppedIn(X0,X1,X2)
     => ? [X3,X4] :
          ( terminates(X3,X1,X4)
          & less(X4,X2)
          & less(X0,X4)
          & happens(X3,X4) ) ),
    inference(unused_predicate_definition_removal,[],[f1]) ).

fof(f63,plain,
    ! [X0,X1,X2] :
      ( ~ stoppedIn(X0,X1,X2)
      | ? [X3,X4] :
          ( terminates(X3,X1,X4)
          & less(X4,X2)
          & less(X0,X4)
          & happens(X3,X4) ) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f64,plain,
    ! [X0,X1,X2,X3,X4] :
      ( stoppedIn(X1,X2,plus(X1,X4))
      | ~ trajectory(X2,X1,X3,X4)
      | ~ less(n0,X4)
      | ~ initiates(X0,X2,X1)
      | ~ happens(X0,X1)
      | holdsAt(X3,plus(X1,X4)) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f65,plain,
    ! [X0,X1,X2,X3,X4] :
      ( stoppedIn(X1,X2,plus(X1,X4))
      | ~ trajectory(X2,X1,X3,X4)
      | ~ less(n0,X4)
      | ~ initiates(X0,X2,X1)
      | ~ happens(X0,X1)
      | holdsAt(X3,plus(X1,X4)) ),
    inference(flattening,[],[f64]) ).

fof(f66,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(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(flattening,[],[f66]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( releases(X2,X0,X1)
          & happens(X2,X1) )
      | releasedAt(X0,X1)
      | ~ releasedAt(X0,plus(X1,n1)) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( releases(X2,X0,X1)
          & happens(X2,X1) )
      | releasedAt(X0,X1)
      | ~ releasedAt(X0,plus(X1,n1)) ),
    inference(flattening,[],[f72]) ).

fof(f74,plain,
    ! [X0,X1,X2] :
      ( ~ initiates(X0,X2,X1)
      | ~ happens(X0,X1)
      | holdsAt(X2,plus(X1,n1)) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f75,plain,
    ! [X0,X1,X2] :
      ( ~ initiates(X0,X2,X1)
      | ~ happens(X0,X1)
      | holdsAt(X2,plus(X1,n1)) ),
    inference(flattening,[],[f74]) ).

fof(f80,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(f81,plain,
    ! [X0,X1,X2] :
      ( ( ~ terminates(X0,X2,X1)
        & ~ initiates(X0,X2,X1) )
      | ~ happens(X0,X1)
      | ~ releasedAt(X2,plus(X1,n1)) ),
    inference(flattening,[],[f80]) ).

fof(f82,plain,
    ! [X0,X1,X2,X3] :
      ( plus(X0,X3) != X2
      | ~ holdsAt(waterLevel(X0),X1)
      | trajectory(filling,X1,waterLevel(X2),X3) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f83,plain,
    ! [X0,X1,X2,X3] :
      ( plus(X0,X3) != X2
      | ~ holdsAt(waterLevel(X0),X1)
      | trajectory(filling,X1,waterLevel(X2),X3) ),
    inference(flattening,[],[f82]) ).

fof(f84,plain,
    ! [X0,X1,X2] :
      ( ~ holdsAt(waterLevel(X2),X0)
      | ~ holdsAt(waterLevel(X1),X0)
      | X1 = X2 ),
    inference(ennf_transformation,[],[f18]) ).

fof(f85,plain,
    ! [X0,X1,X2] :
      ( ~ holdsAt(waterLevel(X2),X0)
      | ~ holdsAt(waterLevel(X1),X0)
      | X1 = X2 ),
    inference(flattening,[],[f84]) ).

fof(f86,plain,
    ! [X0] : ~ less(X0,n0),
    inference(ennf_transformation,[],[f38]) ).

fof(f90,plain,
    ! [X0,X1,X2] :
      ( ~ stoppedIn(X0,X1,X2)
      | ( terminates(sK2(X0,X1,X2),X1,sK3(X0,X1,X2))
        & less(sK3(X0,X1,X2),X2)
        & less(X0,sK3(X0,X1,X2))
        & happens(sK2(X0,X1,X2),sK3(X0,X1,X2)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X3,sK2(X0,X1,X2)),skolemize(X4,sK3(X0,X1,X2))],[f63]) ).

fof(f91,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))],[f67]) ).

fof(f94,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))],[f73]) ).

fof(f101,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,[],[f89]) ).

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(flattening,[],[f101]) ).

fof(f105,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(f106,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,[],[f105]) ).

fof(f107,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))],[f106]) ).

fof(f108,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(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(flattening,[],[f108]) ).

fof(f111,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(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(flattening,[],[f111]) ).

fof(f113,plain,
    ! [X0] :
      ( ( ~ less(X0,n1)
        | less_or_equal(X0,n0) )
      & ( ~ less_or_equal(X0,n0)
        | less(X0,n1) ) ),
    inference(nnf_transformation,[],[f39]) ).

fof(f114,plain,
    ! [X0] :
      ( ( ~ less(X0,n2)
        | less_or_equal(X0,n1) )
      & ( ~ less_or_equal(X0,n1)
        | less(X0,n2) ) ),
    inference(nnf_transformation,[],[f40]) ).

fof(f115,plain,
    ! [X0] :
      ( ( ~ less(X0,n3)
        | less_or_equal(X0,n2) )
      & ( ~ less_or_equal(X0,n2)
        | less(X0,n3) ) ),
    inference(nnf_transformation,[],[f41]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( ( ~ less(X0,X1)
        | ( X1 != X0
          & ~ less(X1,X0) ) )
      & ( X0 = X1
        | less(X1,X0)
        | less(X0,X1) ) ),
    inference(nnf_transformation,[],[f48]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( ( ~ less(X0,X1)
        | ( X1 != X0
          & ~ less(X1,X0) ) )
      & ( X0 = X1
        | less(X1,X0)
        | less(X0,X1) ) ),
    inference(flattening,[],[f122]) ).

fof(f125,plain,
    ! [X2,X0,X1] :
      ( ~ stoppedIn(X0,X1,X2)
      | less(sK3(X0,X1,X2),X2) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f126,plain,
    ! [X2,X0,X1] :
      ( ~ stoppedIn(X0,X1,X2)
      | less(X0,sK3(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f128,plain,
    ! [X2,X3,X0,X1,X4] :
      ( stoppedIn(X1,X2,plus(X1,X4))
      | ~ trajectory(X2,X1,X3,X4)
      | ~ less(n0,X4)
      | ~ initiates(X0,X2,X1)
      | ~ happens(X0,X1)
      | holdsAt(X3,plus(X1,X4)) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f130,plain,
    ! [X0,X1] :
      ( happens(sK4(X0,X1),X1)
      | releasedAt(X0,plus(X1,n1))
      | ~ holdsAt(X0,X1)
      | holdsAt(X0,plus(X1,n1)) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f135,plain,
    ! [X0,X1] :
      ( releases(sK7(X0,X1),X0,X1)
      | releasedAt(X0,X1)
      | ~ releasedAt(X0,plus(X1,n1)) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f137,plain,
    ! [X2,X0,X1] :
      ( ~ initiates(X0,X2,X1)
      | ~ happens(X0,X1)
      | holdsAt(X2,plus(X1,n1)) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f141,plain,
    ! [X2,X0,X1] :
      ( ~ initiates(X0,X2,X1)
      | ~ happens(X0,X1)
      | ~ releasedAt(X2,plus(X1,n1)) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f157,plain,
    ! [X2,X0,X1] :
      ( filling != X1
      | tapOn != X0
      | initiates(X0,X1,X2) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f164,plain,
    ! [X2,X0,X1] :
      ( ~ releases(X0,X1,X2)
      | waterLevel(sK10(X0,X1)) = X1 ),
    inference(cnf_transformation,[],[f107]) ).

fof(f169,plain,
    ! [X0,X1] :
      ( ~ happens(X0,X1)
      | holdsAt(waterLevel(n3),X1)
      | n0 = X1 ),
    inference(cnf_transformation,[],[f109]) ).

fof(f172,plain,
    ! [X0,X1] :
      ( ~ happens(X0,X1)
      | holdsAt(waterLevel(n3),X1)
      | tapOn = X0 ),
    inference(cnf_transformation,[],[f109]) ).

fof(f173,plain,
    ! [X0,X1] :
      ( overflow != X0
      | ~ holdsAt(filling,X1)
      | ~ holdsAt(waterLevel(n3),X1)
      | happens(X0,X1) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f174,plain,
    ! [X0,X1] :
      ( n0 != X1
      | tapOn != X0
      | happens(X0,X1) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f175,plain,
    ! [X2,X3,X0,X1] :
      ( plus(X0,X3) != X2
      | ~ holdsAt(waterLevel(X0),X1)
      | trajectory(filling,X1,waterLevel(X2),X3) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f176,plain,
    ! [X2,X0,X1] :
      ( ~ holdsAt(waterLevel(X2),X0)
      | ~ holdsAt(waterLevel(X1),X0)
      | X1 = X2 ),
    inference(cnf_transformation,[],[f85]) ).

fof(f179,plain,
    tapOn != overflow,
    inference(cnf_transformation,[],[f21]) ).

fof(f180,plain,
    ! [X0] : filling != waterLevel(X0),
    inference(cnf_transformation,[],[f22]) ).

fof(f186,plain,
    n1 = plus(n0,n1),
    inference(cnf_transformation,[],[f27]) ).

fof(f189,plain,
    n2 = plus(n1,n1),
    inference(cnf_transformation,[],[f30]) ).

fof(f195,plain,
    ! [X0,X1] : plus(X0,X1) = plus(X1,X0),
    inference(cnf_transformation,[],[f36]) ).

fof(f196,plain,
    ! [X0,X1] :
      ( ~ less_or_equal(X0,X1)
      | X0 = X1
      | less(X0,X1) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f197,plain,
    ! [X0,X1] :
      ( X0 != X1
      | less_or_equal(X0,X1) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f198,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | less_or_equal(X0,X1) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f199,plain,
    ! [X0] : ~ less(X0,n0),
    inference(cnf_transformation,[],[f86]) ).

fof(f200,plain,
    ! [X0] :
      ( ~ less(X0,n1)
      | less_or_equal(X0,n0) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f201,plain,
    ! [X0] :
      ( ~ less_or_equal(X0,n0)
      | less(X0,n1) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f202,plain,
    ! [X0] :
      ( ~ less(X0,n2)
      | less_or_equal(X0,n1) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f203,plain,
    ! [X0] :
      ( ~ less_or_equal(X0,n1)
      | less(X0,n2) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f205,plain,
    ! [X0] :
      ( ~ less_or_equal(X0,n2)
      | less(X0,n3) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f218,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f123]) ).

fof(f220,plain,
    ! [X0,X1] :
      ( X0 = X1
      | less(X1,X0)
      | less(X0,X1) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f221,plain,
    holdsAt(waterLevel(n0),n0),
    inference(cnf_transformation,[],[f49]) ).

fof(f227,plain,
    ~ holdsAt(filling,n2),
    inference(cnf_transformation,[],[f58]) ).

fof(f232,plain,
    ! [X2,X1] :
      ( filling != X1
      | initiates(tapOn,X1,X2) ),
    inference(equality_resolution,[],[f157]) ).

fof(f233,plain,
    ! [X2] : initiates(tapOn,filling,X2),
    inference(equality_resolution,[],[f232]) ).

fof(f242,plain,
    ! [X1] :
      ( n0 != X1
      | happens(tapOn,X1) ),
    inference(equality_resolution,[],[f174]) ).

fof(f243,plain,
    happens(tapOn,n0),
    inference(equality_resolution,[],[f242]) ).

fof(f244,plain,
    ! [X1] :
      ( ~ holdsAt(filling,X1)
      | ~ holdsAt(waterLevel(n3),X1)
      | happens(overflow,X1) ),
    inference(equality_resolution,[],[f173]) ).

fof(f245,plain,
    ! [X3,X0,X1] :
      ( ~ holdsAt(waterLevel(X0),X1)
      | trajectory(filling,X1,waterLevel(plus(X0,X3)),X3) ),
    inference(equality_resolution,[],[f175]) ).

fof(f247,plain,
    ! [X1] : less_or_equal(X1,X1),
    inference(equality_resolution,[],[f197]) ).

fof(f248,plain,
    ! [X1] : ~ less(X1,X1),
    inference(equality_resolution,[],[f218]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( less(X0,sK3(X0,X1,X2))
      | ~ stoppedIn(X0,X1,X2) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_51,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( less(sK3(X0,X1,X2),X2)
      | ~ stoppedIn(X0,X1,X2) ),
    inference(cnf_transformation,[],[f125]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( holdsAt(X2,plus(X1,X3))
      | stoppedIn(X1,X0,plus(X1,X3))
      | ~ less(n0,X3)
      | ~ happens(X4,X1)
      | ~ initiates(X4,X0,X1)
      | ~ trajectory(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f128]) ).

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,[],[f130]) ).

tcf(c_61,plain,
    ! [X0: $i,X1: $i] :
      ( releasedAt(X0,X1)
      | releases(sK7(X0,X1),X0,X1)
      | ~ releasedAt(X0,plus(X1,n1)) ),
    inference(cnf_transformation,[],[f135]) ).

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,[],[f137]) ).

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,[],[f141]) ).

tcf(c_75,plain,
    ! [X0: $i] : initiates(tapOn,filling,X0),
    inference(cnf_transformation,[],[f233]) ).

tcf(c_91,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( waterLevel(sK10(X0,X1)) = X1 )
      | ~ releases(X0,X1,X2) ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_92,plain,
    happens(tapOn,n0),
    inference(cnf_transformation,[],[f243]) ).

tcf(c_93,plain,
    ! [X0: $i] :
      ( happens(overflow,X0)
      | ~ holdsAt(filling,X0)
      | ~ holdsAt(waterLevel(n3),X0) ),
    inference(cnf_transformation,[],[f244]) ).

tcf(c_94,plain,
    ! [X0: $i,X1: $i] :
      ( holdsAt(waterLevel(n3),X1)
      | ( X0 = tapOn )
      | ~ happens(X0,X1) ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_97,plain,
    ! [X0: $i,X1: $i] :
      ( holdsAt(waterLevel(n3),X1)
      | ( X1 = n0 )
      | ~ happens(X0,X1) ),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_100,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( trajectory(filling,X1,waterLevel(plus(X0,X2)),X2)
      | ~ holdsAt(waterLevel(X0),X1) ),
    inference(cnf_transformation,[],[f245]) ).

tcf(c_101,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = X2 )
      | ~ holdsAt(waterLevel(X2),X1)
      | ~ holdsAt(waterLevel(X0),X1) ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_104,plain,
    overflow != tapOn,
    inference(cnf_transformation,[],[f179]) ).

tcf(c_105,plain,
    ! [X0: $i] : waterLevel(X0) != filling,
    inference(cnf_transformation,[],[f180]) ).

tcf(c_110,plain,
    plus(n0,n1) = n1,
    inference(cnf_transformation,[],[f186]) ).

tcf(c_113,plain,
    plus(n1,n1) = n2,
    inference(cnf_transformation,[],[f189]) ).

tcf(c_119,plain,
    ! [X0: $i,X1: $i] : plus(X0,X1) = plus(X1,X0),
    inference(cnf_transformation,[],[f195]) ).

tcf(c_120,plain,
    ! [X0: $i,X1: $i] :
      ( less_or_equal(X0,X1)
      | ~ less(X0,X1) ),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_121,plain,
    ! [X0: $i] : less_or_equal(X0,X0),
    inference(cnf_transformation,[],[f247]) ).

tcf(c_122,plain,
    ! [X0: $i,X1: $i] :
      ( less(X0,X1)
      | ( X0 = X1 )
      | ~ less_or_equal(X0,X1) ),
    inference(cnf_transformation,[],[f196]) ).

tcf(c_123,plain,
    ! [X0: $i] : ~ less(X0,n0),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_124,plain,
    ! [X0: $i] :
      ( less(X0,n1)
      | ~ less_or_equal(X0,n0) ),
    inference(cnf_transformation,[],[f201]) ).

tcf(c_125,plain,
    ! [X0: $i] :
      ( less_or_equal(X0,n0)
      | ~ less(X0,n1) ),
    inference(cnf_transformation,[],[f200]) ).

tcf(c_126,plain,
    ! [X0: $i] :
      ( less(X0,n2)
      | ~ less_or_equal(X0,n1) ),
    inference(cnf_transformation,[],[f203]) ).

tcf(c_127,plain,
    ! [X0: $i] :
      ( less_or_equal(X0,n1)
      | ~ less(X0,n2) ),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_128,plain,
    ! [X0: $i] :
      ( less(X0,n3)
      | ~ less_or_equal(X0,n2) ),
    inference(cnf_transformation,[],[f205]) ).

tcf(c_142,plain,
    ! [X0: $i,X1: $i] :
      ( less(X1,X0)
      | less(X0,X1)
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f220]) ).

tcf(c_144,plain,
    ! [X0: $i] : ~ less(X0,X0),
    inference(cnf_transformation,[],[f248]) ).

tcf(c_145,plain,
    holdsAt(waterLevel(n0),n0),
    inference(cnf_transformation,[],[f221]) ).

tcf(c_151,negated_conjecture,
    ~ holdsAt(filling,n2),
    inference(cnf_transformation,[],[f227]) ).

tcf(c_152,plain,
    less_or_equal(n1,n1),
    inference(instantiation,[status(thm)],[c_121]) ).

tcf(c_153,plain,
    ~ less(n1,n1),
    inference(instantiation,[status(thm)],[c_144]) ).

tcf(c_177,plain,
    ( less(n1,n2)
    | ~ less_or_equal(n1,n1) ),
    inference(instantiation,[status(thm)],[c_126]) ).

tcf(c_186,plain,
    ( less(n1,n1)
    | ( n1 = n1 ) ),
    inference(instantiation,[status(thm)],[c_142]) ).

tcf(c_232,plain,
    ! [X0: $i] :
      ( less(X0,n1)
      | ~ less_or_equal(X0,n0) ),
    inference(prop_impl_just,[status(thm)],[c_124]) ).

tcf(c_234,plain,
    ! [X0: $i] :
      ( ~ less(X0,n2)
      | less_or_equal(X0,n1) ),
    inference(prop_impl_just,[status(thm)],[c_127]) ).

tcf(c_235,plain,
    ! [X0: $i] :
      ( less_or_equal(X0,n1)
      | ~ less(X0,n2) ),
    inference(renaming,[status(thm)],[c_234]) ).

tcf(c_240,plain,
    ! [X0: $i] :
      ( less(X0,n3)
      | ~ less_or_equal(X0,n2) ),
    inference(prop_impl_just,[status(thm)],[c_128]) ).

tcf(c_276,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_282,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( trajectory(filling,X1,waterLevel(plus(X0,X2)),X2)
      | ~ holdsAt(waterLevel(X0),X1) ),
    inference(prop_impl_just,[status(thm)],[c_100]) ).

tcf(c_304,plain,
    ! [X0: $i,X1: $i] :
      ( less_or_equal(X0,X1)
      | ~ less(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_120]) ).

tcf(c_1018,plain,
    plus(n1,n0) = n1,
    inference(demodulation,[status(thm)],[c_110,c_119]) ).

tcf(c_1315,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( holdsAt(X5,plus(X1,X6))
      | stoppedIn(X1,X0,plus(X1,X6))
      | ~ less(n0,X6)
      | ~ happens(X7,X1)
      | ~ holdsAt(waterLevel(X3),X2)
      | ~ initiates(X7,X0,X1)
      | ( X4 != X6 )
      | ( X1 != X2 )
      | ( X0 != filling )
      | ( waterLevel(plus(X3,X4)) != X5 ) ),
    inference(resolution_lifted,[status(thm)],[c_53,c_282]) ).

tcf(c_1316,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( stoppedIn(X1,filling,plus(X1,X3))
      | holdsAt(waterLevel(plus(X0,X3)),plus(X1,X3))
      | ~ less(n0,X3)
      | ~ happens(X2,X1)
      | ~ initiates(X2,filling,X1)
      | ~ holdsAt(waterLevel(X0),X1) ),
    inference(unflattening,[status(thm)],[c_1315]) ).

tcf(c_1342,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( releasedAt(X0,X1)
      | ( waterLevel(sK10(X2,X3)) = X3 )
      | ~ releasedAt(X0,plus(X1,n1))
      | ( X1 != X4 )
      | ( X0 != X3 )
      | ( sK7(X0,X1) != X2 ) ),
    inference(resolution_lifted,[status(thm)],[c_61,c_276]) ).

tcf(c_1343,plain,
    ! [X0: $i,X1: $i] :
      ( releasedAt(X0,X1)
      | ( waterLevel(sK10(sK7(X0,X1),X0)) = X0 )
      | ~ releasedAt(X0,plus(X1,n1)) ),
    inference(unflattening,[status(thm)],[c_1342]) ).

tcf(c_2753,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( less(X1,n3)
      | ~ less(X0,X2)
      | ( X2 != n2 )
      | ( X0 != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_304,c_240]) ).

tcf(c_2754,plain,
    ! [X0: $i] :
      ( less(X0,n3)
      | ~ less(X0,n2) ),
    inference(unflattening,[status(thm)],[c_2753]) ).

tcf(c_2755,plain,
    ( less(n1,n3)
    | ~ less(n1,n2) ),
    inference(instantiation,[status(thm)],[c_2754]) ).

tcf(c_2947,plain,
    ! [X0: $i,X1: $i] :
      ( less(X0,n1)
      | ~ less(X1,n2)
      | ( n0 != n1 )
      | ( X0 != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_232,c_235]) ).

tcf(c_2948,plain,
    ! [X0: $i] :
      ( less(X0,n1)
      | ~ less(X0,n2)
      | ( n0 != n1 ) ),
    inference(unflattening,[status(thm)],[c_2947]) ).

tcf(c_2949,plain,
    ( less(n1,n1)
    | ~ less(n1,n2)
    | ( n0 != n1 ) ),
    inference(instantiation,[status(thm)],[c_2948]) ).

tcf(c_9975,negated_conjecture,
    ~ holdsAt(filling,n2),
    inference(demodulation,[status(thm)],[c_151]) ).

tcf(c_9981,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( less(X0,X2)
      | ~ less(X1,X3)
      | ( X2 != X3 )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_12520,plain,
    ! [X0: $i] :
      ( holdsAt(filling,plus(X0,n1))
      | ~ happens(tapOn,X0) ),
    inference(superposition,[status(thm)],[c_75,c_62]) ).

tcf(c_12603,plain,
    ! [X0: $i] :
      ( holdsAt(filling,plus(n1,X0))
      | ~ happens(tapOn,X0) ),
    inference(superposition,[status(thm)],[c_119,c_12520]) ).

tcf(c_12657,plain,
    ( holdsAt(filling,n1)
    | ~ happens(tapOn,n0) ),
    inference(superposition,[status(thm)],[c_1018,c_12603]) ).

tcf(c_12658,plain,
    holdsAt(filling,n1),
    inference(forward_subsumption_resolution,[status(thm)],[c_12657,c_92]) ).

tcf(c_12717,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_12929,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( less(X0,X2)
      | ~ less(X1,n3)
      | ( X2 != n3 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_9981]) ).

tcf(c_12930,plain,
    ( less(n1,n1)
    | ~ less(n1,n3)
    | ( n1 != n3 )
    | ( n1 != n1 ) ),
    inference(instantiation,[status(thm)],[c_12929]) ).

tcf(c_13011,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_13023,plain,
    ! [X0: $i] :
      ( releasedAt(X0,n2)
      | holdsAt(X0,n2)
      | happens(sK4(X0,n1),n1)
      | ~ holdsAt(X0,n1) ),
    inference(light_normalisation,[status(thm)],[c_13011,c_113]) ).

tcf(c_18888,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = n3 )
      | ~ holdsAt(waterLevel(n3),X1)
      | ~ holdsAt(waterLevel(X0),X1) ),
    inference(instantiation,[status(thm)],[c_101]) ).

tcf(c_18889,plain,
    ( ( n1 = n3 )
    | ~ holdsAt(waterLevel(n3),n1)
    | ~ holdsAt(waterLevel(n1),n1) ),
    inference(instantiation,[status(thm)],[c_18888]) ).

tcf(c_28269,plain,
    ! [X0: $i,X1: $i] :
      ( ~ releasedAt(X1,n1)
      | ~ happens(X0,n0)
      | ~ initiates(X0,X1,n0) ),
    inference(superposition,[status(thm)],[c_1018,c_12717]) ).

tcf(c_28533,plain,
    ( ~ releasedAt(filling,n1)
    | ~ happens(tapOn,n0) ),
    inference(superposition,[status(thm)],[c_75,c_28269]) ).

tcf(c_28538,plain,
    ~ releasedAt(filling,n1),
    inference(forward_subsumption_resolution,[status(thm)],[c_28533,c_92]) ).

tcf(c_29166,plain,
    ! [X0: $i] :
      ( releasedAt(X0,n2)
      | holdsAt(X0,n2)
      | holdsAt(waterLevel(n3),n1)
      | ( n0 = n1 )
      | ~ holdsAt(X0,n1) ),
    inference(superposition,[status(thm)],[c_13023,c_97]) ).

tcf(c_49678,plain,
    ! [X0: $i] :
      ( releasedAt(X0,n1)
      | ( waterLevel(sK10(sK7(X0,n1),X0)) = X0 )
      | ~ releasedAt(X0,n2) ),
    inference(superposition,[status(thm)],[c_113,c_1343]) ).

tcf(c_72167,plain,
    ! [X0: $i] :
      ( releasedAt(X0,n2)
      | holdsAt(X0,n2)
      | holdsAt(waterLevel(n3),n1)
      | ~ holdsAt(X0,n1) ),
    inference(global_subsumption_just,[status(thm)],[c_29166,c_152,c_153,c_177,c_2949,c_29166]) ).

tcf(c_72198,plain,
    ! [X0: $i] :
      ( happens(overflow,n1)
      | releasedAt(X0,n2)
      | holdsAt(X0,n2)
      | ~ holdsAt(filling,n1)
      | ~ holdsAt(X0,n1) ),
    inference(superposition,[status(thm)],[c_72167,c_93]) ).

tcf(c_72246,plain,
    ! [X0: $i] :
      ( happens(overflow,n1)
      | releasedAt(X0,n2)
      | holdsAt(X0,n2)
      | ~ holdsAt(X0,n1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_72198,c_12658]) ).

tcf(c_72686,plain,
    ( releasedAt(filling,n2)
    | holdsAt(filling,n2)
    | happens(overflow,n1) ),
    inference(superposition,[status(thm)],[c_12658,c_72246]) ).

tcf(c_72697,plain,
    ( releasedAt(filling,n2)
    | happens(overflow,n1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_72686,c_9975]) ).

tcf(c_73144,plain,
    ( releasedAt(filling,n1)
    | happens(overflow,n1)
    | ( waterLevel(sK10(sK7(filling,n1),filling)) = filling ) ),
    inference(superposition,[status(thm)],[c_72697,c_49678]) ).

tcf(c_73173,plain,
    happens(overflow,n1),
    inference(forward_subsumption_resolution,[status(thm)],[c_73144,c_28538,c_105]) ).

tcf(c_73394,plain,
    ( holdsAt(waterLevel(n3),n1)
    | ( overflow = tapOn ) ),
    inference(superposition,[status(thm)],[c_73173,c_94]) ).

tcf(c_73405,plain,
    holdsAt(waterLevel(n3),n1),
    inference(forward_subsumption_resolution,[status(thm)],[c_73394,c_104]) ).

tcf(c_471206,plain,
    less(n0,n1),
    inference(superposition,[status(thm)],[c_121,c_124]) ).

tcf(c_471211,plain,
    ! [X0: $i,X1: $i] :
      ( less_or_equal(sK3(X0,X1,n1),n0)
      | ~ stoppedIn(X0,X1,n1) ),
    inference(superposition,[status(thm)],[c_51,c_125]) ).

tcf(c_471504,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( stoppedIn(X1,filling,plus(X1,X2))
      | holdsAt(waterLevel(plus(X0,X2)),plus(X1,X2))
      | ~ less(n0,X2)
      | ~ happens(tapOn,X1)
      | ~ holdsAt(waterLevel(X0),X1) ),
    inference(superposition,[status(thm)],[c_75,c_1316]) ).

tcf(c_474703,plain,
    ! [X0: $i,X1: $i] :
      ( less(sK3(X0,X1,n1),n0)
      | ( sK3(X0,X1,n1) = n0 )
      | ~ stoppedIn(X0,X1,n1) ),
    inference(superposition,[status(thm)],[c_471211,c_122]) ).

tcf(c_474707,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK3(X0,X1,n1) = n0 )
      | ~ stoppedIn(X0,X1,n1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_474703,c_123]) ).

tcf(c_475941,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( stoppedIn(X1,filling,plus(X2,X1))
      | holdsAt(waterLevel(plus(X0,X2)),plus(X1,X2))
      | ~ less(n0,X2)
      | ~ happens(tapOn,X1)
      | ~ holdsAt(waterLevel(X0),X1) ),
    inference(superposition,[status(thm)],[c_119,c_471504]) ).

tcf(c_492306,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( stoppedIn(X1,filling,plus(X2,X1))
      | holdsAt(waterLevel(plus(X0,X2)),plus(X2,X1))
      | ~ less(n0,X2)
      | ~ happens(tapOn,X1)
      | ~ holdsAt(waterLevel(X0),X1) ),
    inference(superposition,[status(thm)],[c_119,c_475941]) ).

tcf(c_534917,plain,
    ! [X0: $i] :
      ( stoppedIn(n0,filling,plus(n1,n0))
      | holdsAt(waterLevel(plus(X0,n1)),n1)
      | ~ less(n0,n1)
      | ~ happens(tapOn,n0)
      | ~ holdsAt(waterLevel(X0),n0) ),
    inference(superposition,[status(thm)],[c_1018,c_492306]) ).

tcf(c_534959,plain,
    ! [X0: $i] :
      ( stoppedIn(n0,filling,n1)
      | holdsAt(waterLevel(plus(X0,n1)),n1)
      | ~ less(n0,n1)
      | ~ happens(tapOn,n0)
      | ~ holdsAt(waterLevel(X0),n0) ),
    inference(light_normalisation,[status(thm)],[c_534917,c_1018]) ).

tcf(c_534960,plain,
    ! [X0: $i] :
      ( stoppedIn(n0,filling,n1)
      | holdsAt(waterLevel(plus(X0,n1)),n1)
      | ~ holdsAt(waterLevel(X0),n0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_534959,c_471206,c_92]) ).

tcf(c_559152,plain,
    ! [X0: $i] :
      ( stoppedIn(n0,filling,n1)
      | holdsAt(waterLevel(plus(n1,X0)),n1)
      | ~ holdsAt(waterLevel(X0),n0) ),
    inference(superposition,[status(thm)],[c_119,c_534960]) ).

tcf(c_564061,plain,
    ( holdsAt(waterLevel(n1),n1)
    | stoppedIn(n0,filling,n1)
    | ~ holdsAt(waterLevel(n0),n0) ),
    inference(superposition,[status(thm)],[c_1018,c_559152]) ).

tcf(c_564086,plain,
    ( holdsAt(waterLevel(n1),n1)
    | stoppedIn(n0,filling,n1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_564061,c_145]) ).

tcf(c_564698,plain,
    stoppedIn(n0,filling,n1),
    inference(global_subsumption_just,[status(thm)],[c_564086,c_152,c_153,c_177,c_186,c_2755,c_12930,c_18889,c_73405,c_564086]) ).

tcf(c_564704,plain,
    sK3(n0,filling,n1) = n0,
    inference(superposition,[status(thm)],[c_564698,c_474707]) ).

tcf(c_564737,plain,
    ( less(n0,n0)
    | ~ stoppedIn(n0,filling,n1) ),
    inference(superposition,[status(thm)],[c_564704,c_50]) ).

tcf(c_564779,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_564737,c_123,c_564698]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR009+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.37  % Computer : n001.cluster.edu
% 0.09/5.37  % Model    : x86_64 x86_64
% 0.09/5.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37  % Memory   : 8046.5625MB
% 0.09/5.37  % OS       : Linux 6.8.0-71-generic
% 0.09/5.37  % CPULimit : 300
% 0.09/5.37  % WCLimit  : 300
% 0.09/5.37  % DateTime : Fri Sep 25 08:12:16 UTC 2026
% 0.09/5.37  % CPUTime  : 
% 0.09/5.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.41  Running first-order theorem proving
% 0.14/5.41  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
% 0.14/5.42  
% 0.14/5.42  % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.42  
% 0.14/5.42  % Detected problem language: tptp
% 0.14/5.44  % Proving...
% 138.66/39.27  % SZS status Started for theBenchmark.p
% 138.66/39.27  % SZS status Theorem for theBenchmark.p
% 138.66/39.27  
% 138.66/39.27  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 138.66/39.27  
% 138.66/39.27  % ------  iProver source info
% 138.66/39.27  
% 138.66/39.27  % git: date: 2026-07-19 20:42:38 +0200
% 138.66/39.27  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 138.66/39.27  % git: non_committed_changes: false
% 138.66/39.27  
% 138.66/39.27  % ------ Parsing...
% 138.66/39.27  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 138.66/39.27  
% 138.66/39.27  % ------ 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 % 
% 138.66/39.27  
% 138.66/39.27  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 138.66/39.27  
% 138.66/39.27  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 138.66/39.27  % ------ Proving...
% 138.66/39.27  % ------ Problem Properties 
% 138.66/39.27  
% 138.66/39.27  % 
% 138.66/39.27  % clauses                               99
% 138.66/39.27  % conjectures                           1
% 138.66/39.27  % EPR                                   53
% 138.66/39.27  % Horn                                  76
% 138.66/39.27  % unary                                 33
% 138.66/39.27  % binary                                37
% 138.66/39.27  % lits                                  208
% 138.66/39.27  % lits eq                               48
% 138.66/39.27  % fd_pure                               0
% 138.66/39.27  % fd_pseudo                             0
% 138.66/39.27  % fd_cond                               14
% 138.66/39.27  % fd_pseudo_cond                        4
% 138.66/39.27  % AC symbols                            0
% 138.66/39.27  
% 138.66/39.27  % ------ Schedule dynamic 5 is on 
% 138.66/39.27  
% 138.66/39.27  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 138.66/39.27  
% 138.66/39.27  
% 138.66/39.27  % ------ 
% 138.66/39.27  % Current options:
% 138.66/39.27  % ------ 
% 138.66/39.27  
% 138.66/39.27  
% 138.66/39.27  % 
% 138.66/39.27  
% 138.66/39.27  % ------ Proving...
% 138.66/39.27  % Proof_search_loop: time out after: 9479 full_loop iterations
% 138.66/39.27  
% 138.66/39.27  % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 138.66/39.27  
% 138.66/39.27  
% 138.66/39.27  % ------ 
% 138.66/39.27  % Current options:
% 138.66/39.27  % ------ 
% 138.66/39.27  
% 138.66/39.27  
% 138.66/39.27  % 
% 138.66/39.27  
% 138.66/39.27  % ------ Proving...
% 138.66/39.27  % Proof_search_loop: time out after: 12632 full_loop iterations
% 138.66/39.27  
% 138.66/39.27  % ------ Option_1: Negative Selections Time Limit: 35.
% 138.66/39.27  
% 138.66/39.27  
% 138.66/39.27  % ------ 
% 138.66/39.27  % Current options:
% 138.66/39.27  % ------ 
% 138.66/39.27  
% 138.66/39.27  
% 138.66/39.27  % 
% 138.66/39.27  
% 138.66/39.27  % ------ Proving...
% 138.66/39.27  % 
% 138.66/39.27  
% 138.66/39.27  % SZS status Theorem for theBenchmark.p
% 138.66/39.27  
% 138.66/39.27  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 138.66/39.28  
% 138.66/39.28  
%------------------------------------------------------------------------------