TSTP Solution File: CSR012+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : CSR012+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 02:11:04 EDT 2024

% Result   : Theorem 12.42s 2.63s
% Output   : CNFRefutation 12.42s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% 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/theBenchmark.p',stoppedin_defn) ).

fof(f3,axiom,
    ! [X3,X4,X1,X5,X6] :
      ( ( ~ stoppedIn(X4,X1,plus(X4,X6))
        & trajectory(X1,X4,X5,X6)
        & less(n0,X6)
        & initiates(X3,X1,X4)
        & happens(X3,X4) )
     => holdsAt(X5,plus(X4,X6)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',change_holding) ).

fof(f13,axiom,
    ! [X3,X1,X4] :
      ( initiates(X3,X1,X4)
    <=> ( ? [X8] :
            ( waterLevel(X8) = X1
            & overflow = X3
            & holdsAt(waterLevel(X8),X4) )
        | ? [X8] :
            ( waterLevel(X8) = X1
            & tapOff = X3
            & holdsAt(waterLevel(X8),X4) )
        | ( spilling = X1
          & overflow = X3 )
        | ( filling = X1
          & tapOn = X3 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',initiates_all_defn) ).

fof(f16,axiom,
    ! [X3,X4] :
      ( happens(X3,X4)
    <=> ( ( overflow = X3
          & holdsAt(filling,X4)
          & holdsAt(waterLevel(n3),X4) )
        | ( n0 = X4
          & tapOn = X3 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_all_defn) ).

fof(f17,axiom,
    ! [X9,X4,X10,X6] :
      ( ( plus(X9,X6) = X10
        & holdsAt(waterLevel(X9),X4) )
     => trajectory(filling,X4,waterLevel(X10),X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',change_of_waterLevel) ).

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

fof(f36,axiom,
    ! [X11,X12] : plus(X11,X12) = plus(X12,X11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_plus) ).

fof(f37,axiom,
    ! [X11,X12] :
      ( less_or_equal(X11,X12)
    <=> ( X11 = X12
        | less(X11,X12) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal) ).

fof(f38,axiom,
    ~ ? [X11] : less(X11,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less0) ).

fof(f39,axiom,
    ! [X11] :
      ( less(X11,n1)
    <=> less_or_equal(X11,n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less1) ).

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

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

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

fof(f58,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(rectify,[],[f3]) ).

fof(f68,plain,
    ! [X0,X1,X2] :
      ( initiates(X0,X1,X2)
    <=> ( ? [X3] :
            ( waterLevel(X3) = X1
            & overflow = X0
            & holdsAt(waterLevel(X3),X2) )
        | ? [X4] :
            ( waterLevel(X4) = X1
            & tapOff = X0
            & holdsAt(waterLevel(X4),X2) )
        | ( spilling = X1
          & overflow = X0 )
        | ( filling = X1
          & tapOn = X0 ) ) ),
    inference(rectify,[],[f13]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( happens(X0,X1)
    <=> ( ( overflow = X0
          & holdsAt(filling,X1)
          & holdsAt(waterLevel(n3),X1) )
        | ( n0 = X1
          & tapOn = X0 ) ) ),
    inference(rectify,[],[f16]) ).

fof(f72,plain,
    ! [X0,X1,X2,X3] :
      ( ( plus(X0,X3) = X2
        & holdsAt(waterLevel(X0),X1) )
     => trajectory(filling,X1,waterLevel(X2),X3) ),
    inference(rectify,[],[f17]) ).

fof(f77,plain,
    ! [X0,X1] : plus(X0,X1) = plus(X1,X0),
    inference(rectify,[],[f36]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( less_or_equal(X0,X1)
    <=> ( X0 = X1
        | less(X0,X1) ) ),
    inference(rectify,[],[f37]) ).

fof(f79,plain,
    ~ ? [X0] : less(X0,n0),
    inference(rectify,[],[f38]) ).

fof(f80,plain,
    ! [X0] :
      ( less(X0,n1)
    <=> less_or_equal(X0,n0) ),
    inference(rectify,[],[f39]) ).

fof(f91,plain,
    ~ holdsAt(waterLevel(n1),n1),
    inference(flattening,[],[f56]) ).

fof(f93,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(f96,plain,
    ! [X0,X1,X2] :
      ( ? [X3,X4] :
          ( terminates(X3,X1,X4)
          & less(X4,X2)
          & less(X0,X4)
          & happens(X3,X4) )
      | ~ stoppedIn(X0,X1,X2) ),
    inference(ennf_transformation,[],[f93]) ).

fof(f97,plain,
    ! [X0,X1,X2,X3,X4] :
      ( holdsAt(X3,plus(X1,X4))
      | stoppedIn(X1,X2,plus(X1,X4))
      | ~ trajectory(X2,X1,X3,X4)
      | ~ less(n0,X4)
      | ~ initiates(X0,X2,X1)
      | ~ happens(X0,X1) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f98,plain,
    ! [X0,X1,X2,X3,X4] :
      ( holdsAt(X3,plus(X1,X4))
      | stoppedIn(X1,X2,plus(X1,X4))
      | ~ trajectory(X2,X1,X3,X4)
      | ~ less(n0,X4)
      | ~ initiates(X0,X2,X1)
      | ~ happens(X0,X1) ),
    inference(flattening,[],[f97]) ).

fof(f115,plain,
    ! [X0,X1,X2,X3] :
      ( trajectory(filling,X1,waterLevel(X2),X3)
      | plus(X0,X3) != X2
      | ~ holdsAt(waterLevel(X0),X1) ),
    inference(ennf_transformation,[],[f72]) ).

fof(f116,plain,
    ! [X0,X1,X2,X3] :
      ( trajectory(filling,X1,waterLevel(X2),X3)
      | plus(X0,X3) != X2
      | ~ holdsAt(waterLevel(X0),X1) ),
    inference(flattening,[],[f115]) ).

fof(f119,plain,
    ! [X0] : ~ less(X0,n0),
    inference(ennf_transformation,[],[f79]) ).

fof(f120,plain,
    ! [X1,X0,X2] :
      ( sP0(X1,X0,X2)
    <=> ? [X4] :
          ( waterLevel(X4) = X1
          & tapOff = X0
          & holdsAt(waterLevel(X4),X2) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f121,plain,
    ! [X1,X0,X2] :
      ( sP1(X1,X0,X2)
    <=> ? [X3] :
          ( waterLevel(X3) = X1
          & overflow = X0
          & holdsAt(waterLevel(X3),X2) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f122,plain,
    ! [X0,X1,X2] :
      ( initiates(X0,X1,X2)
    <=> ( sP1(X1,X0,X2)
        | sP0(X1,X0,X2)
        | ( spilling = X1
          & overflow = X0 )
        | ( filling = X1
          & tapOn = X0 ) ) ),
    inference(definition_folding,[],[f68,f121,f120]) ).

fof(f123,plain,
    ! [X0,X1,X2] :
      ( ? [X3,X4] :
          ( terminates(X3,X1,X4)
          & less(X4,X2)
          & less(X0,X4)
          & happens(X3,X4) )
     => ( 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)) ) ),
    introduced(choice_axiom,[]) ).

fof(f124,plain,
    ! [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)) )
      | ~ stoppedIn(X0,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f96,f123]) ).

fof(f141,plain,
    ! [X0,X1,X2] :
      ( ( initiates(X0,X1,X2)
        | ( ~ sP1(X1,X0,X2)
          & ~ sP0(X1,X0,X2)
          & ( spilling != X1
            | overflow != X0 )
          & ( filling != X1
            | tapOn != X0 ) ) )
      & ( sP1(X1,X0,X2)
        | sP0(X1,X0,X2)
        | ( spilling = X1
          & overflow = X0 )
        | ( filling = X1
          & tapOn = X0 )
        | ~ initiates(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f122]) ).

fof(f142,plain,
    ! [X0,X1,X2] :
      ( ( initiates(X0,X1,X2)
        | ( ~ sP1(X1,X0,X2)
          & ~ sP0(X1,X0,X2)
          & ( spilling != X1
            | overflow != X0 )
          & ( filling != X1
            | tapOn != X0 ) ) )
      & ( sP1(X1,X0,X2)
        | sP0(X1,X0,X2)
        | ( spilling = X1
          & overflow = X0 )
        | ( filling = X1
          & tapOn = X0 )
        | ~ initiates(X0,X1,X2) ) ),
    inference(flattening,[],[f141]) ).

fof(f149,plain,
    ! [X0,X1] :
      ( ( happens(X0,X1)
        | ( ( overflow != X0
            | ~ holdsAt(filling,X1)
            | ~ holdsAt(waterLevel(n3),X1) )
          & ( n0 != X1
            | tapOn != X0 ) ) )
      & ( ( overflow = X0
          & holdsAt(filling,X1)
          & holdsAt(waterLevel(n3),X1) )
        | ( n0 = X1
          & tapOn = X0 )
        | ~ happens(X0,X1) ) ),
    inference(nnf_transformation,[],[f71]) ).

fof(f150,plain,
    ! [X0,X1] :
      ( ( happens(X0,X1)
        | ( ( overflow != X0
            | ~ holdsAt(filling,X1)
            | ~ holdsAt(waterLevel(n3),X1) )
          & ( n0 != X1
            | tapOn != X0 ) ) )
      & ( ( overflow = X0
          & holdsAt(filling,X1)
          & holdsAt(waterLevel(n3),X1) )
        | ( n0 = X1
          & tapOn = X0 )
        | ~ happens(X0,X1) ) ),
    inference(flattening,[],[f149]) ).

fof(f152,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,[],[f78]) ).

fof(f153,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,[],[f152]) ).

fof(f154,plain,
    ! [X0] :
      ( ( less(X0,n1)
        | ~ less_or_equal(X0,n0) )
      & ( less_or_equal(X0,n0)
        | ~ less(X0,n1) ) ),
    inference(nnf_transformation,[],[f80]) ).

fof(f166,plain,
    ! [X2,X0,X1] :
      ( less(X0,sK3(X0,X1,X2))
      | ~ stoppedIn(X0,X1,X2) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f167,plain,
    ! [X2,X0,X1] :
      ( less(sK3(X0,X1,X2),X2)
      | ~ stoppedIn(X0,X1,X2) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f169,plain,
    ! [X2,X3,X0,X1,X4] :
      ( holdsAt(X3,plus(X1,X4))
      | stoppedIn(X1,X2,plus(X1,X4))
      | ~ trajectory(X2,X1,X3,X4)
      | ~ less(n0,X4)
      | ~ initiates(X0,X2,X1)
      | ~ happens(X0,X1) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f195,plain,
    ! [X2,X0,X1] :
      ( initiates(X0,X1,X2)
      | filling != X1
      | tapOn != X0 ),
    inference(cnf_transformation,[],[f142]) ).

fof(f214,plain,
    ! [X0,X1] :
      ( happens(X0,X1)
      | n0 != X1
      | tapOn != X0 ),
    inference(cnf_transformation,[],[f150]) ).

fof(f216,plain,
    ! [X2,X3,X0,X1] :
      ( trajectory(filling,X1,waterLevel(X2),X3)
      | plus(X0,X3) != X2
      | ~ holdsAt(waterLevel(X0),X1) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f227,plain,
    n1 = plus(n0,n1),
    inference(cnf_transformation,[],[f27]) ).

fof(f236,plain,
    ! [X0,X1] : plus(X0,X1) = plus(X1,X0),
    inference(cnf_transformation,[],[f77]) ).

fof(f237,plain,
    ! [X0,X1] :
      ( X0 = X1
      | less(X0,X1)
      | ~ less_or_equal(X0,X1) ),
    inference(cnf_transformation,[],[f153]) ).

fof(f239,plain,
    ! [X0,X1] :
      ( less_or_equal(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f153]) ).

fof(f240,plain,
    ! [X0] : ~ less(X0,n0),
    inference(cnf_transformation,[],[f119]) ).

fof(f241,plain,
    ! [X0] :
      ( less_or_equal(X0,n0)
      | ~ less(X0,n1) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f242,plain,
    ! [X0] :
      ( less(X0,n1)
      | ~ less_or_equal(X0,n0) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f262,plain,
    holdsAt(waterLevel(n0),n0),
    inference(cnf_transformation,[],[f49]) ).

fof(f268,plain,
    ~ holdsAt(waterLevel(n1),n1),
    inference(cnf_transformation,[],[f91]) ).

fof(f275,plain,
    ! [X2,X0] :
      ( initiates(X0,filling,X2)
      | tapOn != X0 ),
    inference(equality_resolution,[],[f195]) ).

fof(f276,plain,
    ! [X2] : initiates(tapOn,filling,X2),
    inference(equality_resolution,[],[f275]) ).

fof(f284,plain,
    ! [X0] :
      ( happens(X0,n0)
      | tapOn != X0 ),
    inference(equality_resolution,[],[f214]) ).

fof(f285,plain,
    happens(tapOn,n0),
    inference(equality_resolution,[],[f284]) ).

fof(f286,plain,
    ! [X3,X0,X1] :
      ( trajectory(filling,X1,waterLevel(plus(X0,X3)),X3)
      | ~ holdsAt(waterLevel(X0),X1) ),
    inference(equality_resolution,[],[f216]) ).

fof(f288,plain,
    ! [X1] : less_or_equal(X1,X1),
    inference(equality_resolution,[],[f239]) ).

cnf(c_50,plain,
    ( ~ stoppedIn(X0,X1,X2)
    | less(sK3(X0,X1,X2),X2) ),
    inference(cnf_transformation,[],[f167]) ).

cnf(c_51,plain,
    ( ~ stoppedIn(X0,X1,X2)
    | less(X0,sK3(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f166]) ).

cnf(c_53,plain,
    ( ~ trajectory(X0,X1,X2,X3)
    | ~ initiates(X4,X0,X1)
    | ~ happens(X4,X1)
    | ~ less(n0,X3)
    | stoppedIn(X1,X0,plus(X1,X3))
    | holdsAt(X2,plus(X1,X3)) ),
    inference(cnf_transformation,[],[f169]) ).

cnf(c_78,plain,
    initiates(tapOn,filling,X0),
    inference(cnf_transformation,[],[f276]) ).

cnf(c_93,plain,
    happens(tapOn,n0),
    inference(cnf_transformation,[],[f285]) ).

cnf(c_100,plain,
    ( ~ holdsAt(waterLevel(X0),X1)
    | trajectory(filling,X1,waterLevel(plus(X0,X2)),X2) ),
    inference(cnf_transformation,[],[f286]) ).

cnf(c_110,plain,
    plus(n0,n1) = n1,
    inference(cnf_transformation,[],[f227]) ).

cnf(c_119,plain,
    plus(X0,X1) = plus(X1,X0),
    inference(cnf_transformation,[],[f236]) ).

cnf(c_120,plain,
    less_or_equal(X0,X0),
    inference(cnf_transformation,[],[f288]) ).

cnf(c_122,plain,
    ( ~ less_or_equal(X0,X1)
    | X0 = X1
    | less(X0,X1) ),
    inference(cnf_transformation,[],[f237]) ).

cnf(c_123,plain,
    ~ less(X0,n0),
    inference(cnf_transformation,[],[f240]) ).

cnf(c_124,plain,
    ( ~ less_or_equal(X0,n0)
    | less(X0,n1) ),
    inference(cnf_transformation,[],[f242]) ).

cnf(c_125,plain,
    ( ~ less(X0,n1)
    | less_or_equal(X0,n0) ),
    inference(cnf_transformation,[],[f241]) ).

cnf(c_145,plain,
    holdsAt(waterLevel(n0),n0),
    inference(cnf_transformation,[],[f262]) ).

cnf(c_151,negated_conjecture,
    ~ holdsAt(waterLevel(n1),n1),
    inference(cnf_transformation,[],[f268]) ).

cnf(c_278,plain,
    ( ~ holdsAt(waterLevel(X0),X1)
    | trajectory(filling,X1,waterLevel(plus(X0,X2)),X2) ),
    inference(prop_impl_just,[status(thm)],[c_100]) ).

cnf(c_1014,plain,
    plus(n1,n0) = n1,
    inference(demodulation,[status(thm)],[c_110,c_119]) ).

cnf(c_1311,plain,
    ( waterLevel(plus(X3,X4)) != X5
    | X0 != filling
    | X1 != X2
    | X4 != X6
    | ~ initiates(X7,X0,X1)
    | ~ holdsAt(waterLevel(X3),X2)
    | ~ happens(X7,X1)
    | ~ less(n0,X6)
    | stoppedIn(X1,X0,plus(X1,X6))
    | holdsAt(X5,plus(X1,X6)) ),
    inference(resolution_lifted,[status(thm)],[c_53,c_278]) ).

cnf(c_1312,plain,
    ( ~ holdsAt(waterLevel(X0),X1)
    | ~ initiates(X2,filling,X1)
    | ~ happens(X2,X1)
    | ~ less(n0,X3)
    | holdsAt(waterLevel(plus(X0,X3)),plus(X1,X3))
    | stoppedIn(X1,filling,plus(X1,X3)) ),
    inference(unflattening,[status(thm)],[c_1311]) ).

cnf(c_9951,plain,
    waterLevel(n1) = sP0_iProver_def,
    definition ).

cnf(c_9952,negated_conjecture,
    ~ holdsAt(sP0_iProver_def,n1),
    inference(demodulation,[status(thm)],[c_151,c_9951]) ).

cnf(c_11644,plain,
    less(n0,n1),
    inference(superposition,[status(thm)],[c_120,c_124]) ).

cnf(c_12093,plain,
    ( ~ stoppedIn(X0,X1,n1)
    | less_or_equal(sK3(X0,X1,n1),n0) ),
    inference(superposition,[status(thm)],[c_50,c_125]) ).

cnf(c_14038,plain,
    ( ~ holdsAt(waterLevel(X0),X1)
    | ~ less(n0,X2)
    | ~ happens(tapOn,X1)
    | holdsAt(waterLevel(plus(X0,X2)),plus(X1,X2))
    | stoppedIn(X1,filling,plus(X1,X2)) ),
    inference(superposition,[status(thm)],[c_78,c_1312]) ).

cnf(c_16665,plain,
    ( ~ holdsAt(waterLevel(X0),X1)
    | ~ less(n0,X2)
    | ~ happens(tapOn,X1)
    | holdsAt(waterLevel(plus(X0,X2)),plus(X1,X2))
    | stoppedIn(X1,filling,plus(X2,X1)) ),
    inference(superposition,[status(thm)],[c_119,c_14038]) ).

cnf(c_17438,plain,
    ( ~ stoppedIn(X0,X1,n1)
    | sK3(X0,X1,n1) = n0
    | less(sK3(X0,X1,n1),n0) ),
    inference(superposition,[status(thm)],[c_12093,c_122]) ).

cnf(c_17442,plain,
    ( ~ stoppedIn(X0,X1,n1)
    | sK3(X0,X1,n1) = n0 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17438,c_123]) ).

cnf(c_30473,plain,
    ( ~ holdsAt(waterLevel(X0),n0)
    | ~ less(n0,n1)
    | ~ happens(tapOn,n0)
    | holdsAt(waterLevel(plus(X0,n1)),plus(n0,n1))
    | stoppedIn(n0,filling,n1) ),
    inference(superposition,[status(thm)],[c_1014,c_16665]) ).

cnf(c_30587,plain,
    ( ~ holdsAt(waterLevel(X0),n0)
    | holdsAt(waterLevel(plus(X0,n1)),plus(n0,n1))
    | stoppedIn(n0,filling,n1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_30473,c_93,c_11644]) ).

cnf(c_61776,plain,
    ( ~ holdsAt(waterLevel(X0),n0)
    | holdsAt(waterLevel(plus(X0,n1)),n1)
    | stoppedIn(n0,filling,n1) ),
    inference(demodulation,[status(thm)],[c_30587,c_119,c_1014]) ).

cnf(c_61784,plain,
    ( ~ holdsAt(waterLevel(X0),n0)
    | holdsAt(waterLevel(plus(n1,X0)),n1)
    | stoppedIn(n0,filling,n1) ),
    inference(superposition,[status(thm)],[c_119,c_61776]) ).

cnf(c_62151,plain,
    ( ~ holdsAt(waterLevel(n0),n0)
    | stoppedIn(n0,filling,n1)
    | holdsAt(waterLevel(n1),n1) ),
    inference(superposition,[status(thm)],[c_1014,c_61784]) ).

cnf(c_62173,plain,
    ( ~ holdsAt(waterLevel(n0),n0)
    | stoppedIn(n0,filling,n1)
    | holdsAt(sP0_iProver_def,n1) ),
    inference(light_normalisation,[status(thm)],[c_62151,c_9951]) ).

cnf(c_62174,plain,
    stoppedIn(n0,filling,n1),
    inference(forward_subsumption_resolution,[status(thm)],[c_62173,c_9952,c_145]) ).

cnf(c_62179,plain,
    sK3(n0,filling,n1) = n0,
    inference(superposition,[status(thm)],[c_62174,c_17442]) ).

cnf(c_62190,plain,
    ( ~ stoppedIn(n0,filling,n1)
    | less(n0,n0) ),
    inference(superposition,[status(thm)],[c_62179,c_51]) ).

cnf(c_62218,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_62190,c_123,c_62174]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : CSR012+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.03/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.33  % Computer : n017.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Thu May  2 22:35:36 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.17/0.45  Running first-order theorem proving
% 0.17/0.45  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 12.42/2.63  % SZS status Started for theBenchmark.p
% 12.42/2.63  % SZS status Theorem for theBenchmark.p
% 12.42/2.63  
% 12.42/2.63  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 12.42/2.63  
% 12.42/2.63  ------  iProver source info
% 12.42/2.63  
% 12.42/2.63  git: date: 2024-05-02 19:28:25 +0000
% 12.42/2.63  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 12.42/2.63  git: non_committed_changes: false
% 12.42/2.63  
% 12.42/2.63  ------ Parsing...
% 12.42/2.63  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 12.42/2.63  
% 12.42/2.63  ------ 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 
% 12.42/2.63  
% 12.42/2.63  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 12.42/2.63  
% 12.42/2.63  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 12.42/2.63  ------ Proving...
% 12.42/2.63  ------ Problem Properties 
% 12.42/2.63  
% 12.42/2.63  
% 12.42/2.63  clauses                                 100
% 12.42/2.63  conjectures                             1
% 12.42/2.63  EPR                                     53
% 12.42/2.63  Horn                                    77
% 12.42/2.63  unary                                   34
% 12.42/2.63  binary                                  37
% 12.42/2.63  lits                                    209
% 12.42/2.63  lits eq                                 49
% 12.42/2.63  fd_pure                                 0
% 12.42/2.63  fd_pseudo                               0
% 12.42/2.63  fd_cond                                 14
% 12.42/2.63  fd_pseudo_cond                          4
% 12.42/2.63  AC symbols                              0
% 12.42/2.63  
% 12.42/2.63  ------ Schedule dynamic 5 is on 
% 12.42/2.63  
% 12.42/2.63  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 12.42/2.63  
% 12.42/2.63  
% 12.42/2.63  ------ 
% 12.42/2.63  Current options:
% 12.42/2.63  ------ 
% 12.42/2.63  
% 12.42/2.63  
% 12.42/2.63  
% 12.42/2.63  
% 12.42/2.63  ------ Proving...
% 12.42/2.63  
% 12.42/2.63  
% 12.42/2.63  % SZS status Theorem for theBenchmark.p
% 12.42/2.63  
% 12.42/2.63  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 12.42/2.64  
% 12.42/2.64  
%------------------------------------------------------------------------------