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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : CSR012+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n016.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 01:09:53 PM UTC 2026

% Result   : Theorem 59.44s 9.50s
% Output   : CNFRefutation 59.44s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f89ERROR: Could not build tree for root c_27153ERROR: 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/sandbox2/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/sandbox2/benchmark/Axioms/CSR001+0.ax',change_holding) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ( ~ ? [X2] :
              ( initiates(X2,X0,X1)
              & happens(X2,X1) )
        & ~ releasedAt(X0,plus(X1,n1))
        & ~ holdsAt(X0,X1) )
     => ~ holdsAt(X0,plus(X1,n1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',keep_not_holding) ).

fof(f9,axiom,
    ! [X0,X1,X2] :
      ( ( initiates(X0,X2,X1)
        & happens(X0,X1) )
     => holdsAt(X2,plus(X1,n1)) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/CSR001+0.ax',happens_not_released) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( happens(X0,X1)
    <=> ( ( X0 = overflow
          & holdsAt(filling,X1)
          & holdsAt(waterLevel(n3),X1) )
        | ( X1 = n0
          & X0 = tapOn ) ) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/CSR001+1.ax',change_of_waterLevel) ).

fof(f27,axiom,
    plus(n0,n1) = n1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_1) ).

fof(f37,axiom,
    ! [X0,X1] :
      ( less_or_equal(X0,X1)
    <=> ( X0 = X1
        | less(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal) ).

fof(f38,axiom,
    ~ ? [X0] : less(X0,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less0) ).

fof(f39,axiom,
    ! [X0] :
      ( less(X0,n1)
    <=> less_or_equal(X0,n0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less1) ).

fof(f49,axiom,
    holdsAt(waterLevel(n0),n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',waterLevel_0) ).

fof(f50,axiom,
    ~ holdsAt(filling,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_filling_0) ).

fof(f55,conjecture,
    holdsAt(waterLevel(n1),n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',waterLevel_1) ).

fof(f56,negated_conjecture,
    ~ holdsAt(waterLevel(n1),n1),
    inference(negated_conjecture,[status(cth)],[f55]) ).

fof(f58,plain,
    ~ holdsAt(waterLevel(n1),n1),
    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(f68,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( initiates(X2,X0,X1)
          & happens(X2,X1) )
      | releasedAt(X0,plus(X1,n1))
      | holdsAt(X0,X1)
      | ~ holdsAt(X0,plus(X1,n1)) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( initiates(X2,X0,X1)
          & happens(X2,X1) )
      | releasedAt(X0,plus(X1,n1))
      | holdsAt(X0,X1)
      | ~ holdsAt(X0,plus(X1,n1)) ),
    inference(flattening,[],[f68]) ).

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(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(f92,plain,
    ! [X0,X1] :
      ( ( initiates(sK5(X0,X1),X0,X1)
        & happens(sK5(X0,X1),X1) )
      | releasedAt(X0,plus(X1,n1))
      | holdsAt(X0,X1)
      | ~ holdsAt(X0,plus(X1,n1)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f69]) ).

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(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(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(f131,plain,
    ! [X0,X1] :
      ( initiates(sK5(X0,X1),X0,X1)
      | releasedAt(X0,plus(X1,n1))
      | holdsAt(X0,X1)
      | ~ holdsAt(X0,plus(X1,n1)) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( happens(sK5(X0,X1),X1)
      | releasedAt(X0,plus(X1,n1))
      | holdsAt(X0,X1)
      | ~ holdsAt(X0,plus(X1,n1)) ),
    inference(cnf_transformation,[],[f92]) ).

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

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

fof(f222,plain,
    ~ holdsAt(filling,n0),
    inference(cnf_transformation,[],[f50]) ).

fof(f227,plain,
    ~ holdsAt(waterLevel(n1),n1),
    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(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]) ).

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_56,plain,
    ! [X0: $i,X1: $i] :
      ( holdsAt(X0,X1)
      | releasedAt(X0,plus(X1,n1))
      | happens(sK5(X0,X1),X1)
      | ~ holdsAt(X0,plus(X1,n1)) ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_57,plain,
    ! [X0: $i,X1: $i] :
      ( holdsAt(X0,X1)
      | releasedAt(X0,plus(X1,n1))
      | initiates(sK5(X0,X1),X0,X1)
      | ~ holdsAt(X0,plus(X1,n1)) ),
    inference(cnf_transformation,[],[f131]) ).

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_92,plain,
    happens(tapOn,n0),
    inference(cnf_transformation,[],[f243]) ).

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_110,plain,
    plus(n0,n1) = n1,
    inference(cnf_transformation,[],[f186]) ).

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_145,plain,
    holdsAt(waterLevel(n0),n0),
    inference(cnf_transformation,[],[f221]) ).

tcf(c_146,plain,
    ~ holdsAt(filling,n0),
    inference(cnf_transformation,[],[f222]) ).

tcf(c_151,negated_conjecture,
    ~ holdsAt(waterLevel(n1),n1),
    inference(cnf_transformation,[],[f227]) ).

tcf(c_278,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_1130,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_278]) ).

tcf(c_1131,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_1130]) ).

tcf(c_11322,plain,
    ! [X0: $i] :
      ( holdsAt(filling,plus(X0,n1))
      | ~ happens(tapOn,X0) ),
    inference(superposition,[status(thm)],[c_75,c_62]) ).

tcf(c_11838,plain,
    ( holdsAt(filling,n1)
    | ~ happens(tapOn,n0) ),
    inference(superposition,[status(thm)],[c_110,c_11322]) ).

tcf(c_11845,plain,
    holdsAt(filling,n1),
    inference(forward_subsumption_resolution,[status(thm)],[c_11838,c_92]) ).

tcf(c_18817,plain,
    less(n0,n1),
    inference(superposition,[status(thm)],[c_121,c_124]) ).

tcf(c_18820,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_18853,plain,
    ! [X0: $i,X1: $i] :
      ( ~ releasedAt(X1,n1)
      | ~ happens(X0,n0)
      | ~ initiates(X0,X1,n0) ),
    inference(superposition,[status(thm)],[c_110,c_65]) ).

tcf(c_18951,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( holdsAt(filling,X0)
      | releasedAt(filling,plus(X0,n1))
      | stoppedIn(X0,filling,plus(X0,X2))
      | holdsAt(waterLevel(plus(X1,X2)),plus(X0,X2))
      | ~ less(n0,X2)
      | ~ holdsAt(waterLevel(X1),X0)
      | ~ holdsAt(filling,plus(X0,n1))
      | ~ happens(sK5(filling,X0),X0) ),
    inference(superposition,[status(thm)],[c_57,c_1131]) ).

tcf(c_19382,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_18820,c_122]) ).

tcf(c_19384,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK3(X0,X1,n1) = n0 )
      | ~ stoppedIn(X0,X1,n1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_19382,c_123]) ).

tcf(c_19598,plain,
    ( ~ releasedAt(filling,n1)
    | ~ happens(tapOn,n0) ),
    inference(superposition,[status(thm)],[c_75,c_18853]) ).

tcf(c_19602,plain,
    ~ releasedAt(filling,n1),
    inference(forward_subsumption_resolution,[status(thm)],[c_19598,c_92]) ).

tcf(c_20066,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( holdsAt(filling,X0)
      | releasedAt(filling,plus(X0,n1))
      | stoppedIn(X0,filling,plus(X0,X2))
      | holdsAt(waterLevel(plus(X1,X2)),plus(X0,X2))
      | ~ less(n0,X2)
      | ~ holdsAt(waterLevel(X1),X0)
      | ~ holdsAt(filling,plus(X0,n1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_18951,c_56]) ).

tcf(c_20094,plain,
    ! [X0: $i] :
      ( holdsAt(filling,X0)
      | releasedAt(filling,plus(X0,n1))
      | holdsAt(waterLevel(n1),plus(X0,n1))
      | stoppedIn(X0,filling,plus(X0,n1))
      | ~ less(n0,n1)
      | ~ holdsAt(waterLevel(n0),X0)
      | ~ holdsAt(filling,plus(X0,n1)) ),
    inference(superposition,[status(thm)],[c_110,c_20066]) ).

tcf(c_20155,plain,
    ! [X0: $i] :
      ( holdsAt(filling,X0)
      | releasedAt(filling,plus(X0,n1))
      | holdsAt(waterLevel(n1),plus(X0,n1))
      | stoppedIn(X0,filling,plus(X0,n1))
      | ~ holdsAt(waterLevel(n0),X0)
      | ~ holdsAt(filling,plus(X0,n1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_20094,c_18817]) ).

tcf(c_26792,plain,
    ( holdsAt(filling,n0)
    | stoppedIn(n0,filling,n1)
    | releasedAt(filling,plus(n0,n1))
    | holdsAt(waterLevel(n1),plus(n0,n1))
    | ~ holdsAt(waterLevel(n0),n0)
    | ~ holdsAt(filling,plus(n0,n1)) ),
    inference(superposition,[status(thm)],[c_110,c_20155]) ).

tcf(c_26806,plain,
    ( stoppedIn(n0,filling,n1)
    | releasedAt(filling,plus(n0,n1))
    | holdsAt(waterLevel(n1),plus(n0,n1))
    | ~ holdsAt(filling,plus(n0,n1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_26792,c_146,c_145]) ).

tcf(c_26807,plain,
    ( releasedAt(filling,n1)
    | holdsAt(waterLevel(n1),n1)
    | stoppedIn(n0,filling,n1)
    | ~ holdsAt(filling,n1) ),
    inference(demodulation,[status(thm)],[c_26806,c_110]) ).

tcf(c_26808,plain,
    stoppedIn(n0,filling,n1),
    inference(forward_subsumption_resolution,[status(thm)],[c_26807,c_19602,c_151,c_11845]) ).

tcf(c_27128,plain,
    sK3(n0,filling,n1) = n0,
    inference(superposition,[status(thm)],[c_26808,c_19384]) ).

tcf(c_27144,plain,
    ( less(n0,n0)
    | ~ stoppedIn(n0,filling,n1) ),
    inference(superposition,[status(thm)],[c_27128,c_50]) ).

tcf(c_27153,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_27144,c_123,c_26808]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR012+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36  % Computer : n016.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Fri Sep 25 08:11:28 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40  Running first-order theorem proving
% 0.09/0.40  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.41  
% 0.09/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41  
% 0.09/0.41  % Detected problem language: tptp
% 0.09/0.42  % Proving...
% 59.44/9.50  % SZS status Started for theBenchmark.p
% 59.44/9.50  % SZS status Theorem for theBenchmark.p
% 59.44/9.50  
% 59.44/9.50  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 59.44/9.50  
% 59.44/9.50  % ------  iProver source info
% 59.44/9.50  
% 59.44/9.50  % git: date: 2026-07-19 20:42:38 +0200
% 59.44/9.50  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 59.44/9.50  % git: non_committed_changes: false
% 59.44/9.50  
% 59.44/9.50  % ------ Parsing...
% 59.44/9.50  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 59.44/9.50  
% 59.44/9.50  % ------ Preprocessing... sup_sim: 0  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 % 
% 59.44/9.50  
% 59.44/9.50  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 59.44/9.50  
% 59.44/9.50  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 59.44/9.50  % ------ Proving...
% 59.44/9.50  % ------ Problem Properties 
% 59.44/9.50  
% 59.44/9.50  % 
% 59.44/9.50  % clauses                               99
% 59.44/9.50  % conjectures                           1
% 59.44/9.50  % EPR                                   52
% 59.44/9.50  % Horn                                  76
% 59.44/9.50  % unary                                 33
% 59.44/9.50  % binary                                37
% 59.44/9.50  % lits                                  208
% 59.44/9.50  % lits eq                               48
% 59.44/9.50  % fd_pure                               0
% 59.44/9.50  % fd_pseudo                             0
% 59.44/9.50  % fd_cond                               14
% 59.44/9.50  % fd_pseudo_cond                        4
% 59.44/9.50  % AC symbols                            0
% 59.44/9.50  
% 59.44/9.50  % ------ Input Options Time Limit: Unbounded
% 59.44/9.50  
% 59.44/9.50  
% 59.44/9.50  % ------ 
% 59.44/9.50  % Current options:
% 59.44/9.50  % ------ 
% 59.44/9.50  
% 59.44/9.50  
% 59.44/9.50  % 
% 59.44/9.50  
% 59.44/9.50  % ------ Proving...
% 59.44/9.50  % 
% 59.44/9.50  
% 59.44/9.50  % SZS status Theorem for theBenchmark.p
% 59.44/9.50  
% 59.44/9.50  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 59.44/9.50  
% 59.44/9.50  
%------------------------------------------------------------------------------