TSTP Solution File: CSR011+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : CSR011+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.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 120.06s 16.73s
% Output : CNFRefutation 120.06s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f290)
% 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(f5,axiom,
! [X1,X4] :
( ( ~ ? [X3] :
( terminates(X3,X1,X4)
& happens(X3,X4) )
& ~ releasedAt(X1,plus(X4,n1))
& holdsAt(X1,X4) )
=> holdsAt(X1,plus(X4,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',keep_holding) ).
fof(f6,axiom,
! [X1,X4] :
( ( ~ ? [X3] :
( initiates(X3,X1,X4)
& happens(X3,X4) )
& ~ releasedAt(X1,plus(X4,n1))
& ~ holdsAt(X1,X4) )
=> ~ holdsAt(X1,plus(X4,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',keep_not_holding) ).
fof(f7,axiom,
! [X1,X4] :
( ( ~ ? [X3] :
( ( terminates(X3,X1,X4)
| initiates(X3,X1,X4) )
& happens(X3,X4) )
& releasedAt(X1,X4) )
=> releasedAt(X1,plus(X4,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',keep_released) ).
fof(f9,axiom,
! [X3,X4,X1] :
( ( initiates(X3,X1,X4)
& happens(X3,X4) )
=> holdsAt(X1,plus(X4,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_holds) ).
fof(f10,axiom,
! [X3,X4,X1] :
( ( terminates(X3,X1,X4)
& happens(X3,X4) )
=> ~ holdsAt(X1,plus(X4,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_terminates_not_holds) ).
fof(f11,axiom,
! [X3,X4,X1] :
( ( releases(X3,X1,X4)
& happens(X3,X4) )
=> releasedAt(X1,plus(X4,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_releases) ).
fof(f12,axiom,
! [X3,X4,X1] :
( ( ( terminates(X3,X1,X4)
| initiates(X3,X1,X4) )
& happens(X3,X4) )
=> ~ releasedAt(X1,plus(X4,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_not_released) ).
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(f14,axiom,
! [X3,X1,X4] :
( terminates(X3,X1,X4)
<=> ( ( filling = X1
& overflow = X3 )
| ( filling = X1
& tapOff = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',terminates_all_defn) ).
fof(f15,axiom,
! [X3,X1,X4] :
( releases(X3,X1,X4)
<=> ? [X8] :
( waterLevel(X8) = X1
& tapOn = X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',releases_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(f18,axiom,
! [X4,X9,X10] :
( ( holdsAt(waterLevel(X10),X4)
& holdsAt(waterLevel(X9),X4) )
=> X9 = X10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',same_waterLevel) ).
fof(f19,axiom,
tapOn != tapOff,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tapOff_not_tapOn) ).
fof(f20,axiom,
overflow != tapOff,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tapOff_not_overflow) ).
fof(f21,axiom,
tapOn != overflow,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',overflow_not_tapOn) ).
fof(f22,axiom,
! [X11] : filling != waterLevel(X11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',filling_not_waterLevel) ).
fof(f27,axiom,
n1 = plus(n0,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_1) ).
fof(f28,axiom,
n2 = plus(n0,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_2) ).
fof(f30,axiom,
n2 = plus(n1,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_1) ).
fof(f31,axiom,
n3 = plus(n1,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_2) ).
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(f40,axiom,
! [X11] :
( less(X11,n2)
<=> less_or_equal(X11,n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less2) ).
fof(f41,axiom,
! [X11] :
( less(X11,n3)
<=> less_or_equal(X11,n2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less3) ).
fof(f48,axiom,
! [X11,X12] :
( less(X11,X12)
<=> ( X11 != X12
& ~ less(X12,X11) ) ),
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(f50,axiom,
~ holdsAt(filling,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_filling_0) ).
fof(f55,conjecture,
~ stoppedIn(n0,filling,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_stopped_filling_0_3) ).
fof(f56,negated_conjecture,
~ ~ stoppedIn(n0,filling,n3),
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(f60,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(rectify,[],[f5]) ).
fof(f61,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(rectify,[],[f6]) ).
fof(f62,plain,
! [X0,X1] :
( ( ~ ? [X2] :
( ( terminates(X2,X0,X1)
| initiates(X2,X0,X1) )
& happens(X2,X1) )
& releasedAt(X0,X1) )
=> releasedAt(X0,plus(X1,n1)) ),
inference(rectify,[],[f7]) ).
fof(f64,plain,
! [X0,X1,X2] :
( ( initiates(X0,X2,X1)
& happens(X0,X1) )
=> holdsAt(X2,plus(X1,n1)) ),
inference(rectify,[],[f9]) ).
fof(f65,plain,
! [X0,X1,X2] :
( ( terminates(X0,X2,X1)
& happens(X0,X1) )
=> ~ holdsAt(X2,plus(X1,n1)) ),
inference(rectify,[],[f10]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ( releases(X0,X2,X1)
& happens(X0,X1) )
=> releasedAt(X2,plus(X1,n1)) ),
inference(rectify,[],[f11]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ( ( terminates(X0,X2,X1)
| initiates(X0,X2,X1) )
& happens(X0,X1) )
=> ~ releasedAt(X2,plus(X1,n1)) ),
inference(rectify,[],[f12]) ).
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(f69,plain,
! [X0,X1,X2] :
( terminates(X0,X1,X2)
<=> ( ( filling = X1
& overflow = X0 )
| ( filling = X1
& tapOff = X0 ) ) ),
inference(rectify,[],[f14]) ).
fof(f70,plain,
! [X0,X1,X2] :
( releases(X0,X1,X2)
<=> ? [X3] :
( waterLevel(X3) = X1
& tapOn = X0 ) ),
inference(rectify,[],[f15]) ).
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(f73,plain,
! [X0,X1,X2] :
( ( holdsAt(waterLevel(X2),X0)
& holdsAt(waterLevel(X1),X0) )
=> X1 = X2 ),
inference(rectify,[],[f18]) ).
fof(f74,plain,
! [X0] : filling != waterLevel(X0),
inference(rectify,[],[f22]) ).
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(f81,plain,
! [X0] :
( less(X0,n2)
<=> less_or_equal(X0,n1) ),
inference(rectify,[],[f40]) ).
fof(f82,plain,
! [X0] :
( less(X0,n3)
<=> less_or_equal(X0,n2) ),
inference(rectify,[],[f41]) ).
fof(f89,plain,
! [X0,X1] :
( less(X0,X1)
<=> ( X0 != X1
& ~ less(X1,X0) ) ),
inference(rectify,[],[f48]) ).
fof(f91,plain,
stoppedIn(n0,filling,n3),
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(f99,plain,
! [X0,X1] :
( holdsAt(X0,plus(X1,n1))
| ? [X2] :
( terminates(X2,X0,X1)
& happens(X2,X1) )
| releasedAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1) ),
inference(ennf_transformation,[],[f60]) ).
fof(f100,plain,
! [X0,X1] :
( holdsAt(X0,plus(X1,n1))
| ? [X2] :
( terminates(X2,X0,X1)
& happens(X2,X1) )
| releasedAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1) ),
inference(flattening,[],[f99]) ).
fof(f101,plain,
! [X0,X1] :
( ~ holdsAt(X0,plus(X1,n1))
| ? [X2] :
( initiates(X2,X0,X1)
& happens(X2,X1) )
| releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f102,plain,
! [X0,X1] :
( ~ holdsAt(X0,plus(X1,n1))
| ? [X2] :
( initiates(X2,X0,X1)
& happens(X2,X1) )
| releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1) ),
inference(flattening,[],[f101]) ).
fof(f103,plain,
! [X0,X1] :
( releasedAt(X0,plus(X1,n1))
| ? [X2] :
( ( terminates(X2,X0,X1)
| initiates(X2,X0,X1) )
& happens(X2,X1) )
| ~ releasedAt(X0,X1) ),
inference(ennf_transformation,[],[f62]) ).
fof(f104,plain,
! [X0,X1] :
( releasedAt(X0,plus(X1,n1))
| ? [X2] :
( ( terminates(X2,X0,X1)
| initiates(X2,X0,X1) )
& happens(X2,X1) )
| ~ releasedAt(X0,X1) ),
inference(flattening,[],[f103]) ).
fof(f107,plain,
! [X0,X1,X2] :
( holdsAt(X2,plus(X1,n1))
| ~ initiates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(ennf_transformation,[],[f64]) ).
fof(f108,plain,
! [X0,X1,X2] :
( holdsAt(X2,plus(X1,n1))
| ~ initiates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(flattening,[],[f107]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ~ holdsAt(X2,plus(X1,n1))
| ~ terminates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(ennf_transformation,[],[f65]) ).
fof(f110,plain,
! [X0,X1,X2] :
( ~ holdsAt(X2,plus(X1,n1))
| ~ terminates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(flattening,[],[f109]) ).
fof(f111,plain,
! [X0,X1,X2] :
( releasedAt(X2,plus(X1,n1))
| ~ releases(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(ennf_transformation,[],[f66]) ).
fof(f112,plain,
! [X0,X1,X2] :
( releasedAt(X2,plus(X1,n1))
| ~ releases(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(flattening,[],[f111]) ).
fof(f113,plain,
! [X0,X1,X2] :
( ~ releasedAt(X2,plus(X1,n1))
| ( ~ terminates(X0,X2,X1)
& ~ initiates(X0,X2,X1) )
| ~ happens(X0,X1) ),
inference(ennf_transformation,[],[f67]) ).
fof(f114,plain,
! [X0,X1,X2] :
( ~ releasedAt(X2,plus(X1,n1))
| ( ~ terminates(X0,X2,X1)
& ~ initiates(X0,X2,X1) )
| ~ happens(X0,X1) ),
inference(flattening,[],[f113]) ).
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(f117,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ holdsAt(waterLevel(X2),X0)
| ~ holdsAt(waterLevel(X1),X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f118,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ holdsAt(waterLevel(X2),X0)
| ~ holdsAt(waterLevel(X1),X0) ),
inference(flattening,[],[f117]) ).
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(f125,plain,
! [X0,X1] :
( ? [X2] :
( terminates(X2,X0,X1)
& happens(X2,X1) )
=> ( terminates(sK4(X0,X1),X0,X1)
& happens(sK4(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
! [X0,X1] :
( holdsAt(X0,plus(X1,n1))
| ( terminates(sK4(X0,X1),X0,X1)
& happens(sK4(X0,X1),X1) )
| releasedAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f100,f125]) ).
fof(f127,plain,
! [X0,X1] :
( ? [X2] :
( initiates(X2,X0,X1)
& happens(X2,X1) )
=> ( initiates(sK5(X0,X1),X0,X1)
& happens(sK5(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
! [X0,X1] :
( ~ holdsAt(X0,plus(X1,n1))
| ( initiates(sK5(X0,X1),X0,X1)
& happens(sK5(X0,X1),X1) )
| releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f102,f127]) ).
fof(f129,plain,
! [X0,X1] :
( ? [X2] :
( ( terminates(X2,X0,X1)
| initiates(X2,X0,X1) )
& happens(X2,X1) )
=> ( ( terminates(sK6(X0,X1),X0,X1)
| initiates(sK6(X0,X1),X0,X1) )
& happens(sK6(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
! [X0,X1] :
( releasedAt(X0,plus(X1,n1))
| ( ( terminates(sK6(X0,X1),X0,X1)
| initiates(sK6(X0,X1),X0,X1) )
& happens(sK6(X0,X1),X1) )
| ~ releasedAt(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f104,f129]) ).
fof(f133,plain,
! [X1,X0,X2] :
( ( sP1(X1,X0,X2)
| ! [X3] :
( waterLevel(X3) != X1
| overflow != X0
| ~ holdsAt(waterLevel(X3),X2) ) )
& ( ? [X3] :
( waterLevel(X3) = X1
& overflow = X0
& holdsAt(waterLevel(X3),X2) )
| ~ sP1(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f121]) ).
fof(f134,plain,
! [X0,X1,X2] :
( ( sP1(X0,X1,X2)
| ! [X3] :
( waterLevel(X3) != X0
| overflow != X1
| ~ holdsAt(waterLevel(X3),X2) ) )
& ( ? [X4] :
( waterLevel(X4) = X0
& overflow = X1
& holdsAt(waterLevel(X4),X2) )
| ~ sP1(X0,X1,X2) ) ),
inference(rectify,[],[f133]) ).
fof(f135,plain,
! [X0,X1,X2] :
( ? [X4] :
( waterLevel(X4) = X0
& overflow = X1
& holdsAt(waterLevel(X4),X2) )
=> ( waterLevel(sK8(X0,X1,X2)) = X0
& overflow = X1
& holdsAt(waterLevel(sK8(X0,X1,X2)),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
! [X0,X1,X2] :
( ( sP1(X0,X1,X2)
| ! [X3] :
( waterLevel(X3) != X0
| overflow != X1
| ~ holdsAt(waterLevel(X3),X2) ) )
& ( ( waterLevel(sK8(X0,X1,X2)) = X0
& overflow = X1
& holdsAt(waterLevel(sK8(X0,X1,X2)),X2) )
| ~ sP1(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f134,f135]) ).
fof(f137,plain,
! [X1,X0,X2] :
( ( sP0(X1,X0,X2)
| ! [X4] :
( waterLevel(X4) != X1
| tapOff != X0
| ~ holdsAt(waterLevel(X4),X2) ) )
& ( ? [X4] :
( waterLevel(X4) = X1
& tapOff = X0
& holdsAt(waterLevel(X4),X2) )
| ~ sP0(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f120]) ).
fof(f138,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ! [X3] :
( waterLevel(X3) != X0
| tapOff != X1
| ~ holdsAt(waterLevel(X3),X2) ) )
& ( ? [X4] :
( waterLevel(X4) = X0
& tapOff = X1
& holdsAt(waterLevel(X4),X2) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f137]) ).
fof(f139,plain,
! [X0,X1,X2] :
( ? [X4] :
( waterLevel(X4) = X0
& tapOff = X1
& holdsAt(waterLevel(X4),X2) )
=> ( waterLevel(sK9(X0,X1,X2)) = X0
& tapOff = X1
& holdsAt(waterLevel(sK9(X0,X1,X2)),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ! [X3] :
( waterLevel(X3) != X0
| tapOff != X1
| ~ holdsAt(waterLevel(X3),X2) ) )
& ( ( waterLevel(sK9(X0,X1,X2)) = X0
& tapOff = X1
& holdsAt(waterLevel(sK9(X0,X1,X2)),X2) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f138,f139]) ).
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(f143,plain,
! [X0,X1,X2] :
( ( terminates(X0,X1,X2)
| ( ( filling != X1
| overflow != X0 )
& ( filling != X1
| tapOff != X0 ) ) )
& ( ( filling = X1
& overflow = X0 )
| ( filling = X1
& tapOff = X0 )
| ~ terminates(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f69]) ).
fof(f144,plain,
! [X0,X1,X2] :
( ( terminates(X0,X1,X2)
| ( ( filling != X1
| overflow != X0 )
& ( filling != X1
| tapOff != X0 ) ) )
& ( ( filling = X1
& overflow = X0 )
| ( filling = X1
& tapOff = X0 )
| ~ terminates(X0,X1,X2) ) ),
inference(flattening,[],[f143]) ).
fof(f145,plain,
! [X0,X1,X2] :
( ( releases(X0,X1,X2)
| ! [X3] :
( waterLevel(X3) != X1
| tapOn != X0 ) )
& ( ? [X3] :
( waterLevel(X3) = X1
& tapOn = X0 )
| ~ releases(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f70]) ).
fof(f146,plain,
! [X0,X1,X2] :
( ( releases(X0,X1,X2)
| ! [X3] :
( waterLevel(X3) != X1
| tapOn != X0 ) )
& ( ? [X4] :
( waterLevel(X4) = X1
& tapOn = X0 )
| ~ releases(X0,X1,X2) ) ),
inference(rectify,[],[f145]) ).
fof(f147,plain,
! [X0,X1] :
( ? [X4] :
( waterLevel(X4) = X1
& tapOn = X0 )
=> ( waterLevel(sK10(X0,X1)) = X1
& tapOn = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
! [X0,X1,X2] :
( ( releases(X0,X1,X2)
| ! [X3] :
( waterLevel(X3) != X1
| tapOn != X0 ) )
& ( ( waterLevel(sK10(X0,X1)) = X1
& tapOn = X0 )
| ~ releases(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f146,f147]) ).
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(f155,plain,
! [X0] :
( ( less(X0,n2)
| ~ less_or_equal(X0,n1) )
& ( less_or_equal(X0,n1)
| ~ less(X0,n2) ) ),
inference(nnf_transformation,[],[f81]) ).
fof(f156,plain,
! [X0] :
( ( less(X0,n3)
| ~ less_or_equal(X0,n2) )
& ( less_or_equal(X0,n2)
| ~ less(X0,n3) ) ),
inference(nnf_transformation,[],[f82]) ).
fof(f163,plain,
! [X0,X1] :
( ( less(X0,X1)
| X0 = X1
| less(X1,X0) )
& ( ( X0 != X1
& ~ less(X1,X0) )
| ~ less(X0,X1) ) ),
inference(nnf_transformation,[],[f89]) ).
fof(f164,plain,
! [X0,X1] :
( ( less(X0,X1)
| X0 = X1
| less(X1,X0) )
& ( ( X0 != X1
& ~ less(X1,X0) )
| ~ less(X0,X1) ) ),
inference(flattening,[],[f163]) ).
fof(f165,plain,
! [X2,X0,X1] :
( happens(sK2(X0,X1,X2),sK3(X0,X1,X2))
| ~ stoppedIn(X0,X1,X2) ),
inference(cnf_transformation,[],[f124]) ).
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(f168,plain,
! [X2,X0,X1] :
( terminates(sK2(X0,X1,X2),X1,sK3(X0,X1,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(f171,plain,
! [X0,X1] :
( holdsAt(X0,plus(X1,n1))
| terminates(sK4(X0,X1),X0,X1)
| releasedAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f172,plain,
! [X0,X1] :
( ~ holdsAt(X0,plus(X1,n1))
| happens(sK5(X0,X1),X1)
| releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f174,plain,
! [X0,X1] :
( releasedAt(X0,plus(X1,n1))
| happens(sK6(X0,X1),X1)
| ~ releasedAt(X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f178,plain,
! [X2,X0,X1] :
( holdsAt(X2,plus(X1,n1))
| ~ initiates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f179,plain,
! [X2,X0,X1] :
( ~ holdsAt(X2,plus(X1,n1))
| ~ terminates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f180,plain,
! [X2,X0,X1] :
( releasedAt(X2,plus(X1,n1))
| ~ releases(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f181,plain,
! [X2,X0,X1] :
( ~ releasedAt(X2,plus(X1,n1))
| ~ initiates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f186,plain,
! [X2,X3,X0,X1] :
( sP1(X0,X1,X2)
| waterLevel(X3) != X0
| overflow != X1
| ~ holdsAt(waterLevel(X3),X2) ),
inference(cnf_transformation,[],[f136]) ).
fof(f189,plain,
! [X2,X0,X1] :
( waterLevel(sK9(X0,X1,X2)) = X0
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f190,plain,
! [X2,X3,X0,X1] :
( sP0(X0,X1,X2)
| waterLevel(X3) != X0
| tapOff != X1
| ~ holdsAt(waterLevel(X3),X2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f195,plain,
! [X2,X0,X1] :
( initiates(X0,X1,X2)
| filling != X1
| tapOn != X0 ),
inference(cnf_transformation,[],[f142]) ).
fof(f196,plain,
! [X2,X0,X1] :
( initiates(X0,X1,X2)
| spilling != X1
| overflow != X0 ),
inference(cnf_transformation,[],[f142]) ).
fof(f198,plain,
! [X2,X0,X1] :
( initiates(X0,X1,X2)
| ~ sP1(X1,X0,X2) ),
inference(cnf_transformation,[],[f142]) ).
fof(f199,plain,
! [X2,X0,X1] :
( overflow = X0
| tapOff = X0
| ~ terminates(X0,X1,X2) ),
inference(cnf_transformation,[],[f144]) ).
fof(f204,plain,
! [X2,X0,X1] :
( terminates(X0,X1,X2)
| filling != X1
| overflow != X0 ),
inference(cnf_transformation,[],[f144]) ).
fof(f207,plain,
! [X2,X3,X0,X1] :
( releases(X0,X1,X2)
| waterLevel(X3) != X1
| tapOn != X0 ),
inference(cnf_transformation,[],[f148]) ).
fof(f208,plain,
! [X0,X1] :
( holdsAt(waterLevel(n3),X1)
| tapOn = X0
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f209,plain,
! [X0,X1] :
( holdsAt(waterLevel(n3),X1)
| n0 = X1
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f210,plain,
! [X0,X1] :
( holdsAt(filling,X1)
| tapOn = X0
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f211,plain,
! [X0,X1] :
( holdsAt(filling,X1)
| n0 = X1
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f212,plain,
! [X0,X1] :
( overflow = X0
| tapOn = X0
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f214,plain,
! [X0,X1] :
( happens(X0,X1)
| n0 != X1
| tapOn != X0 ),
inference(cnf_transformation,[],[f150]) ).
fof(f215,plain,
! [X0,X1] :
( happens(X0,X1)
| overflow != X0
| ~ holdsAt(filling,X1)
| ~ holdsAt(waterLevel(n3),X1) ),
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(f217,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ holdsAt(waterLevel(X2),X0)
| ~ holdsAt(waterLevel(X1),X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f218,plain,
tapOn != tapOff,
inference(cnf_transformation,[],[f19]) ).
fof(f219,plain,
overflow != tapOff,
inference(cnf_transformation,[],[f20]) ).
fof(f220,plain,
tapOn != overflow,
inference(cnf_transformation,[],[f21]) ).
fof(f221,plain,
! [X0] : filling != waterLevel(X0),
inference(cnf_transformation,[],[f74]) ).
fof(f227,plain,
n1 = plus(n0,n1),
inference(cnf_transformation,[],[f27]) ).
fof(f228,plain,
n2 = plus(n0,n2),
inference(cnf_transformation,[],[f28]) ).
fof(f230,plain,
n2 = plus(n1,n1),
inference(cnf_transformation,[],[f30]) ).
fof(f231,plain,
n3 = plus(n1,n2),
inference(cnf_transformation,[],[f31]) ).
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(f238,plain,
! [X0,X1] :
( less_or_equal(X0,X1)
| ~ less(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(f243,plain,
! [X0] :
( less_or_equal(X0,n1)
| ~ less(X0,n2) ),
inference(cnf_transformation,[],[f155]) ).
fof(f244,plain,
! [X0] :
( less(X0,n2)
| ~ less_or_equal(X0,n1) ),
inference(cnf_transformation,[],[f155]) ).
fof(f245,plain,
! [X0] :
( less_or_equal(X0,n2)
| ~ less(X0,n3) ),
inference(cnf_transformation,[],[f156]) ).
fof(f246,plain,
! [X0] :
( less(X0,n3)
| ~ less_or_equal(X0,n2) ),
inference(cnf_transformation,[],[f156]) ).
fof(f259,plain,
! [X0,X1] :
( ~ less(X1,X0)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f260,plain,
! [X0,X1] :
( X0 != X1
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f261,plain,
! [X0,X1] :
( less(X0,X1)
| X0 = X1
| less(X1,X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f262,plain,
holdsAt(waterLevel(n0),n0),
inference(cnf_transformation,[],[f49]) ).
fof(f263,plain,
~ holdsAt(filling,n0),
inference(cnf_transformation,[],[f50]) ).
fof(f268,plain,
stoppedIn(n0,filling,n3),
inference(cnf_transformation,[],[f91]) ).
fof(f269,plain,
! [X2,X3,X1] :
( sP1(waterLevel(X3),X1,X2)
| overflow != X1
| ~ holdsAt(waterLevel(X3),X2) ),
inference(equality_resolution,[],[f186]) ).
fof(f270,plain,
! [X2,X3] :
( sP1(waterLevel(X3),overflow,X2)
| ~ holdsAt(waterLevel(X3),X2) ),
inference(equality_resolution,[],[f269]) ).
fof(f271,plain,
! [X2,X3,X1] :
( sP0(waterLevel(X3),X1,X2)
| tapOff != X1
| ~ holdsAt(waterLevel(X3),X2) ),
inference(equality_resolution,[],[f190]) ).
fof(f272,plain,
! [X2,X3] :
( sP0(waterLevel(X3),tapOff,X2)
| ~ holdsAt(waterLevel(X3),X2) ),
inference(equality_resolution,[],[f271]) ).
fof(f273,plain,
! [X2,X0] :
( initiates(X0,spilling,X2)
| overflow != X0 ),
inference(equality_resolution,[],[f196]) ).
fof(f274,plain,
! [X2] : initiates(overflow,spilling,X2),
inference(equality_resolution,[],[f273]) ).
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(f277,plain,
! [X2,X0] :
( terminates(X0,filling,X2)
| overflow != X0 ),
inference(equality_resolution,[],[f204]) ).
fof(f278,plain,
! [X2] : terminates(overflow,filling,X2),
inference(equality_resolution,[],[f277]) ).
fof(f281,plain,
! [X2,X3,X0] :
( releases(X0,waterLevel(X3),X2)
| tapOn != X0 ),
inference(equality_resolution,[],[f207]) ).
fof(f282,plain,
! [X2,X3] : releases(tapOn,waterLevel(X3),X2),
inference(equality_resolution,[],[f281]) ).
fof(f283,plain,
! [X1] :
( happens(overflow,X1)
| ~ holdsAt(filling,X1)
| ~ holdsAt(waterLevel(n3),X1) ),
inference(equality_resolution,[],[f215]) ).
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]) ).
fof(f289,plain,
! [X1] : ~ less(X1,X1),
inference(equality_resolution,[],[f260]) ).
cnf(c_49,plain,
( ~ stoppedIn(X0,X1,X2)
| terminates(sK2(X0,X1,X2),X1,sK3(X0,X1,X2)) ),
inference(cnf_transformation,[],[f168]) ).
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_52,plain,
( ~ stoppedIn(X0,X1,X2)
| happens(sK2(X0,X1,X2),sK3(X0,X1,X2)) ),
inference(cnf_transformation,[],[f165]) ).
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_54,plain,
( ~ holdsAt(X0,X1)
| terminates(sK4(X0,X1),X0,X1)
| holdsAt(X0,plus(X1,n1))
| releasedAt(X0,plus(X1,n1)) ),
inference(cnf_transformation,[],[f171]) ).
cnf(c_57,plain,
( ~ holdsAt(X0,plus(X1,n1))
| happens(sK5(X0,X1),X1)
| releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1) ),
inference(cnf_transformation,[],[f172]) ).
cnf(c_59,plain,
( ~ releasedAt(X0,X1)
| happens(sK6(X0,X1),X1)
| releasedAt(X0,plus(X1,n1)) ),
inference(cnf_transformation,[],[f174]) ).
cnf(c_62,plain,
( ~ initiates(X0,X1,X2)
| ~ happens(X0,X2)
| holdsAt(X1,plus(X2,n1)) ),
inference(cnf_transformation,[],[f178]) ).
cnf(c_63,plain,
( ~ holdsAt(X0,plus(X1,n1))
| ~ terminates(X2,X0,X1)
| ~ happens(X2,X1) ),
inference(cnf_transformation,[],[f179]) ).
cnf(c_64,plain,
( ~ releases(X0,X1,X2)
| ~ happens(X0,X2)
| releasedAt(X1,plus(X2,n1)) ),
inference(cnf_transformation,[],[f180]) ).
cnf(c_66,plain,
( ~ releasedAt(X0,plus(X1,n1))
| ~ initiates(X2,X0,X1)
| ~ happens(X2,X1) ),
inference(cnf_transformation,[],[f181]) ).
cnf(c_67,plain,
( ~ holdsAt(waterLevel(X0),X1)
| sP1(waterLevel(X0),overflow,X1) ),
inference(cnf_transformation,[],[f270]) ).
cnf(c_71,plain,
( ~ holdsAt(waterLevel(X0),X1)
| sP0(waterLevel(X0),tapOff,X1) ),
inference(cnf_transformation,[],[f272]) ).
cnf(c_72,plain,
( ~ sP0(X0,X1,X2)
| waterLevel(sK9(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f189]) ).
cnf(c_75,plain,
( ~ sP1(X0,X1,X2)
| initiates(X1,X0,X2) ),
inference(cnf_transformation,[],[f198]) ).
cnf(c_77,plain,
initiates(overflow,spilling,X0),
inference(cnf_transformation,[],[f274]) ).
cnf(c_78,plain,
initiates(tapOn,filling,X0),
inference(cnf_transformation,[],[f276]) ).
cnf(c_83,plain,
terminates(overflow,filling,X0),
inference(cnf_transformation,[],[f278]) ).
cnf(c_85,plain,
( ~ terminates(X0,X1,X2)
| X1 = filling ),
inference(cnf_transformation,[],[f290]) ).
cnf(c_88,plain,
( ~ terminates(X0,X1,X2)
| X0 = overflow
| X0 = tapOff ),
inference(cnf_transformation,[],[f199]) ).
cnf(c_89,plain,
releases(tapOn,waterLevel(X0),X1),
inference(cnf_transformation,[],[f282]) ).
cnf(c_92,plain,
( ~ holdsAt(waterLevel(n3),X0)
| ~ holdsAt(filling,X0)
| happens(overflow,X0) ),
inference(cnf_transformation,[],[f283]) ).
cnf(c_93,plain,
happens(tapOn,n0),
inference(cnf_transformation,[],[f285]) ).
cnf(c_95,plain,
( ~ happens(X0,X1)
| X0 = overflow
| X0 = tapOn ),
inference(cnf_transformation,[],[f212]) ).
cnf(c_96,plain,
( ~ happens(X0,X1)
| X1 = n0
| holdsAt(filling,X1) ),
inference(cnf_transformation,[],[f211]) ).
cnf(c_97,plain,
( ~ happens(X0,X1)
| X0 = tapOn
| holdsAt(filling,X1) ),
inference(cnf_transformation,[],[f210]) ).
cnf(c_98,plain,
( ~ happens(X0,X1)
| X1 = n0
| holdsAt(waterLevel(n3),X1) ),
inference(cnf_transformation,[],[f209]) ).
cnf(c_99,plain,
( ~ happens(X0,X1)
| X0 = tapOn
| holdsAt(waterLevel(n3),X1) ),
inference(cnf_transformation,[],[f208]) ).
cnf(c_100,plain,
( ~ holdsAt(waterLevel(X0),X1)
| trajectory(filling,X1,waterLevel(plus(X0,X2)),X2) ),
inference(cnf_transformation,[],[f286]) ).
cnf(c_101,plain,
( ~ holdsAt(waterLevel(X0),X1)
| ~ holdsAt(waterLevel(X2),X1)
| X0 = X2 ),
inference(cnf_transformation,[],[f217]) ).
cnf(c_102,plain,
tapOff != tapOn,
inference(cnf_transformation,[],[f218]) ).
cnf(c_103,plain,
overflow != tapOff,
inference(cnf_transformation,[],[f219]) ).
cnf(c_104,plain,
overflow != tapOn,
inference(cnf_transformation,[],[f220]) ).
cnf(c_105,plain,
waterLevel(X0) != filling,
inference(cnf_transformation,[],[f221]) ).
cnf(c_110,plain,
plus(n0,n1) = n1,
inference(cnf_transformation,[],[f227]) ).
cnf(c_111,plain,
plus(n0,n2) = n2,
inference(cnf_transformation,[],[f228]) ).
cnf(c_113,plain,
plus(n1,n1) = n2,
inference(cnf_transformation,[],[f230]) ).
cnf(c_114,plain,
plus(n1,n2) = n3,
inference(cnf_transformation,[],[f231]) ).
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_121,plain,
( ~ less(X0,X1)
| less_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f238]) ).
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_126,plain,
( ~ less_or_equal(X0,n1)
| less(X0,n2) ),
inference(cnf_transformation,[],[f244]) ).
cnf(c_127,plain,
( ~ less(X0,n2)
| less_or_equal(X0,n1) ),
inference(cnf_transformation,[],[f243]) ).
cnf(c_128,plain,
( ~ less_or_equal(X0,n2)
| less(X0,n3) ),
inference(cnf_transformation,[],[f246]) ).
cnf(c_129,plain,
( ~ less(X0,n3)
| less_or_equal(X0,n2) ),
inference(cnf_transformation,[],[f245]) ).
cnf(c_142,plain,
( X0 = X1
| less(X0,X1)
| less(X1,X0) ),
inference(cnf_transformation,[],[f261]) ).
cnf(c_143,plain,
~ less(X0,X0),
inference(cnf_transformation,[],[f289]) ).
cnf(c_144,plain,
( ~ less(X0,X1)
| ~ less(X1,X0) ),
inference(cnf_transformation,[],[f259]) ).
cnf(c_145,plain,
holdsAt(waterLevel(n0),n0),
inference(cnf_transformation,[],[f262]) ).
cnf(c_146,plain,
~ holdsAt(filling,n0),
inference(cnf_transformation,[],[f263]) ).
cnf(c_151,negated_conjecture,
stoppedIn(n0,filling,n3),
inference(cnf_transformation,[],[f268]) ).
cnf(c_152,plain,
less_or_equal(n1,n1),
inference(instantiation,[status(thm)],[c_120]) ).
cnf(c_153,plain,
~ less(n1,n1),
inference(instantiation,[status(thm)],[c_143]) ).
cnf(c_177,plain,
( ~ less_or_equal(n1,n1)
| less(n1,n2) ),
inference(instantiation,[status(thm)],[c_126]) ).
cnf(c_186,plain,
( n1 = n1
| less(n1,n1) ),
inference(instantiation,[status(thm)],[c_142]) ).
cnf(c_230,plain,
( less_or_equal(X0,n0)
| ~ less(X0,n1) ),
inference(prop_impl_just,[status(thm)],[c_125]) ).
cnf(c_231,plain,
( ~ less(X0,n1)
| less_or_equal(X0,n0) ),
inference(renaming,[status(thm)],[c_230]) ).
cnf(c_232,plain,
( ~ less_or_equal(X0,n0)
| less(X0,n1) ),
inference(prop_impl_just,[status(thm)],[c_124]) ).
cnf(c_234,plain,
( less_or_equal(X0,n1)
| ~ less(X0,n2) ),
inference(prop_impl_just,[status(thm)],[c_127]) ).
cnf(c_235,plain,
( ~ less(X0,n2)
| less_or_equal(X0,n1) ),
inference(renaming,[status(thm)],[c_234]) ).
cnf(c_238,plain,
( less_or_equal(X0,n2)
| ~ less(X0,n3) ),
inference(prop_impl_just,[status(thm)],[c_129]) ).
cnf(c_239,plain,
( ~ less(X0,n3)
| less_or_equal(X0,n2) ),
inference(renaming,[status(thm)],[c_238]) ).
cnf(c_240,plain,
( ~ less_or_equal(X0,n2)
| less(X0,n3) ),
inference(prop_impl_just,[status(thm)],[c_128]) ).
cnf(c_272,plain,
( ~ stoppedIn(X0,X1,X2)
| happens(sK2(X0,X1,X2),sK3(X0,X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_52]) ).
cnf(c_282,plain,
( ~ holdsAt(waterLevel(X0),X1)
| trajectory(filling,X1,waterLevel(plus(X0,X2)),X2) ),
inference(prop_impl_just,[status(thm)],[c_100]) ).
cnf(c_304,plain,
( ~ less(X0,X1)
| less_or_equal(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_121]) ).
cnf(c_1018,plain,
plus(n1,n0) = n1,
inference(demodulation,[status(thm)],[c_110,c_119]) ).
cnf(c_1315,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_282]) ).
cnf(c_1316,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_1315]) ).
cnf(c_1376,plain,
( waterLevel(X1) != X2
| X0 != tapOn
| X3 != X4
| ~ happens(X0,X3)
| releasedAt(X2,plus(X3,n1)) ),
inference(resolution_lifted,[status(thm)],[c_64,c_89]) ).
cnf(c_1377,plain,
( ~ happens(tapOn,X0)
| releasedAt(waterLevel(X1),plus(X0,n1)) ),
inference(unflattening,[status(thm)],[c_1376]) ).
cnf(c_1394,plain,
( X0 != n0
| X1 != filling
| X2 != n3
| happens(sK2(X0,X1,X2),sK3(X0,X1,X2)) ),
inference(resolution_lifted,[status(thm)],[c_272,c_151]) ).
cnf(c_1395,plain,
happens(sK2(n0,filling,n3),sK3(n0,filling,n3)),
inference(unflattening,[status(thm)],[c_1394]) ).
cnf(c_2540,plain,
( X0 != spilling
| X1 != X2
| X3 != overflow
| ~ releasedAt(X0,plus(X1,n1))
| ~ happens(X3,X1) ),
inference(resolution_lifted,[status(thm)],[c_66,c_77]) ).
cnf(c_2541,plain,
( ~ releasedAt(spilling,plus(X0,n1))
| ~ happens(overflow,X0) ),
inference(unflattening,[status(thm)],[c_2540]) ).
cnf(c_2747,plain,
( X0 != X1
| X0 != n0
| less(X1,n1) ),
inference(resolution_lifted,[status(thm)],[c_120,c_232]) ).
cnf(c_2748,plain,
less(n0,n1),
inference(unflattening,[status(thm)],[c_2747]) ).
cnf(c_2794,plain,
( X0 != X1
| X2 != n0
| ~ less(X1,n1)
| X0 = X2
| less(X0,X2) ),
inference(resolution_lifted,[status(thm)],[c_122,c_231]) ).
cnf(c_2795,plain,
( ~ less(X0,n1)
| X0 = n0
| less(X0,n0) ),
inference(unflattening,[status(thm)],[c_2794]) ).
cnf(c_2796,plain,
( X0 = n0
| ~ less(X0,n1) ),
inference(global_subsumption_just,[status(thm)],[c_2795,c_123,c_2795]) ).
cnf(c_2797,plain,
( ~ less(X0,n1)
| X0 = n0 ),
inference(renaming,[status(thm)],[c_2796]) ).
cnf(c_2812,plain,
( X0 != X1
| X2 != n1
| ~ less(X1,n2)
| X0 = X2
| less(X0,X2) ),
inference(resolution_lifted,[status(thm)],[c_122,c_235]) ).
cnf(c_2813,plain,
( ~ less(X0,n2)
| X0 = n1
| less(X0,n1) ),
inference(unflattening,[status(thm)],[c_2812]) ).
cnf(c_2824,plain,
( X0 != X1
| X2 != n2
| ~ less(X0,X2)
| less(X1,n3) ),
inference(resolution_lifted,[status(thm)],[c_304,c_240]) ).
cnf(c_2825,plain,
( ~ less(X0,n2)
| less(X0,n3) ),
inference(unflattening,[status(thm)],[c_2824]) ).
cnf(c_2826,plain,
( ~ less(n1,n2)
| less(n1,n3) ),
inference(instantiation,[status(thm)],[c_2825]) ).
cnf(c_2972,plain,
( X0 != X1
| n0 != n1
| ~ less(X1,n2)
| less(X0,n1) ),
inference(resolution_lifted,[status(thm)],[c_232,c_235]) ).
cnf(c_2973,plain,
( n0 != n1
| ~ less(X0,n2)
| less(X0,n1) ),
inference(unflattening,[status(thm)],[c_2972]) ).
cnf(c_2974,plain,
( n0 != n1
| ~ less(n1,n2)
| less(n1,n1) ),
inference(instantiation,[status(thm)],[c_2973]) ).
cnf(c_2990,plain,
( X0 != X1
| n0 != n2
| ~ less(X1,n3)
| less(X0,n1) ),
inference(resolution_lifted,[status(thm)],[c_232,c_239]) ).
cnf(c_2991,plain,
( n0 != n2
| ~ less(X0,n3)
| less(X0,n1) ),
inference(unflattening,[status(thm)],[c_2990]) ).
cnf(c_2992,plain,
( n0 != n2
| ~ less(n1,n3)
| less(n1,n1) ),
inference(instantiation,[status(thm)],[c_2991]) ).
cnf(c_5406,plain,
( ~ happens(tapOn,X0)
| releasedAt(waterLevel(X1),plus(X0,n1)) ),
inference(prop_impl_just,[status(thm)],[c_1377]) ).
cnf(c_10026,negated_conjecture,
stoppedIn(n0,filling,n3),
inference(demodulation,[status(thm)],[c_151]) ).
cnf(c_10029,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_10032,plain,
( X0 != X1
| X2 != X3
| ~ less(X1,X3)
| less(X0,X2) ),
theory(equality) ).
cnf(c_10033,plain,
( X0 != X1
| X2 != X3
| ~ happens(X1,X3)
| happens(X0,X2) ),
theory(equality) ).
cnf(c_11704,plain,
less(n0,n1),
inference(superposition,[status(thm)],[c_120,c_124]) ).
cnf(c_11705,plain,
less_or_equal(n0,n1),
inference(superposition,[status(thm)],[c_11704,c_121]) ).
cnf(c_11716,plain,
less(n0,n2),
inference(superposition,[status(thm)],[c_11705,c_126]) ).
cnf(c_11979,plain,
( ~ holdsAt(waterLevel(X0),X1)
| initiates(overflow,waterLevel(X0),X1) ),
inference(superposition,[status(thm)],[c_67,c_75]) ).
cnf(c_12013,plain,
( X0 = n1
| less(n1,X0)
| less_or_equal(X0,n0) ),
inference(superposition,[status(thm)],[c_142,c_125]) ).
cnf(c_12014,plain,
( X0 = n2
| less(n2,X0)
| less_or_equal(X0,n1) ),
inference(superposition,[status(thm)],[c_142,c_127]) ).
cnf(c_12063,plain,
( ~ happens(tapOn,n0)
| tapOn = tapOn
| holdsAt(filling,n0) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_12073,plain,
( ~ happens(tapOn,X0)
| releasedAt(waterLevel(X1),plus(n1,X0)) ),
inference(superposition,[status(thm)],[c_119,c_5406]) ).
cnf(c_12130,plain,
( ~ stoppedIn(X0,X1,n1)
| less_or_equal(sK3(X0,X1,n1),n0) ),
inference(superposition,[status(thm)],[c_50,c_125]) ).
cnf(c_12131,plain,
( ~ stoppedIn(X0,X1,n2)
| less_or_equal(sK3(X0,X1,n2),n1) ),
inference(superposition,[status(thm)],[c_50,c_127]) ).
cnf(c_12132,plain,
( ~ stoppedIn(X0,X1,n3)
| less_or_equal(sK3(X0,X1,n3),n2) ),
inference(superposition,[status(thm)],[c_50,c_129]) ).
cnf(c_12392,plain,
( ~ stoppedIn(X0,X1,X2)
| sK2(X0,X1,X2) = overflow
| sK2(X0,X1,X2) = tapOff ),
inference(superposition,[status(thm)],[c_49,c_88]) ).
cnf(c_12410,plain,
( ~ holdsAt(waterLevel(X0),X1)
| waterLevel(sK9(waterLevel(X0),tapOff,X1)) = waterLevel(X0) ),
inference(superposition,[status(thm)],[c_71,c_72]) ).
cnf(c_12456,plain,
( ~ releasedAt(X0,n1)
| happens(sK6(X0,n1),n1)
| releasedAt(X0,n2) ),
inference(superposition,[status(thm)],[c_113,c_59]) ).
cnf(c_12457,plain,
( ~ releasedAt(X0,X1)
| happens(sK6(X0,X1),X1)
| releasedAt(X0,plus(n1,X1)) ),
inference(superposition,[status(thm)],[c_119,c_59]) ).
cnf(c_12526,plain,
( sK2(n0,filling,n3) = overflow
| sK2(n0,filling,n3) = tapOff ),
inference(superposition,[status(thm)],[c_10026,c_12392]) ).
cnf(c_12551,plain,
( ~ terminates(overflow,filling,X0)
| overflow = overflow
| overflow = tapOff ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_12561,plain,
( ~ happens(overflow,X0)
| holdsAt(spilling,plus(X0,n1)) ),
inference(superposition,[status(thm)],[c_77,c_62]) ).
cnf(c_12562,plain,
( ~ happens(tapOn,X0)
| holdsAt(filling,plus(X0,n1)) ),
inference(superposition,[status(thm)],[c_78,c_62]) ).
cnf(c_12604,plain,
( ~ holdsAt(X0,plus(n1,X1))
| ~ terminates(X2,X0,X1)
| ~ happens(X2,X1) ),
inference(superposition,[status(thm)],[c_119,c_63]) ).
cnf(c_12679,plain,
( ~ stoppedIn(n0,filling,n3)
| sK2(n0,filling,n3) = overflow
| happens(tapOff,sK3(n0,filling,n3)) ),
inference(superposition,[status(thm)],[c_12526,c_52]) ).
cnf(c_12681,plain,
( sK2(n0,filling,n3) = overflow
| happens(tapOff,sK3(n0,filling,n3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12679,c_10026]) ).
cnf(c_12690,plain,
( sK2(n0,filling,n3) = overflow
| overflow = tapOff
| tapOff = tapOn ),
inference(superposition,[status(thm)],[c_12681,c_95]) ).
cnf(c_12694,plain,
sK2(n0,filling,n3) = overflow,
inference(forward_subsumption_resolution,[status(thm)],[c_12690,c_102,c_103]) ).
cnf(c_12695,plain,
( ~ stoppedIn(n0,filling,n3)
| happens(overflow,sK3(n0,filling,n3)) ),
inference(superposition,[status(thm)],[c_12694,c_52]) ).
cnf(c_12697,plain,
happens(overflow,sK3(n0,filling,n3)),
inference(forward_subsumption_resolution,[status(thm)],[c_12695,c_10026]) ).
cnf(c_12698,plain,
( overflow = tapOn
| holdsAt(waterLevel(n3),sK3(n0,filling,n3)) ),
inference(superposition,[status(thm)],[c_12697,c_99]) ).
cnf(c_12702,plain,
( overflow = tapOn
| holdsAt(filling,sK3(n0,filling,n3)) ),
inference(superposition,[status(thm)],[c_12697,c_97]) ).
cnf(c_12704,plain,
holdsAt(filling,sK3(n0,filling,n3)),
inference(forward_subsumption_resolution,[status(thm)],[c_12702,c_104]) ).
cnf(c_12705,plain,
holdsAt(waterLevel(n3),sK3(n0,filling,n3)),
inference(forward_subsumption_resolution,[status(thm)],[c_12698,c_104]) ).
cnf(c_12706,plain,
( ~ holdsAt(waterLevel(X0),sK3(n0,filling,n3))
| X0 = n3 ),
inference(superposition,[status(thm)],[c_12705,c_101]) ).
cnf(c_12710,plain,
( ~ holdsAt(waterLevel(n1),sK3(n0,filling,n3))
| n1 = n3 ),
inference(instantiation,[status(thm)],[c_12706]) ).
cnf(c_12782,plain,
( ~ initiates(X0,X1,n1)
| ~ happens(X0,n1)
| ~ releasedAt(X1,n2) ),
inference(superposition,[status(thm)],[c_113,c_66]) ).
cnf(c_12783,plain,
( ~ releasedAt(X0,plus(n1,X1))
| ~ initiates(X2,X0,X1)
| ~ happens(X2,X1) ),
inference(superposition,[status(thm)],[c_119,c_66]) ).
cnf(c_12826,plain,
( ~ happens(overflow,X0)
| holdsAt(spilling,plus(n1,X0)) ),
inference(superposition,[status(thm)],[c_119,c_12561]) ).
cnf(c_12846,plain,
( ~ happens(tapOn,X0)
| holdsAt(filling,plus(n1,X0)) ),
inference(superposition,[status(thm)],[c_119,c_12562]) ).
cnf(c_12848,plain,
( ~ terminates(X0,filling,X1)
| ~ happens(X0,X1)
| ~ happens(tapOn,X1) ),
inference(superposition,[status(thm)],[c_12562,c_63]) ).
cnf(c_13028,plain,
( X0 != X1
| X2 != n3
| ~ less(X1,n3)
| less(X0,X2) ),
inference(instantiation,[status(thm)],[c_10032]) ).
cnf(c_13029,plain,
( n1 != n1
| n1 != n3
| ~ less(n1,n3)
| less(n1,n1) ),
inference(instantiation,[status(thm)],[c_13028]) ).
cnf(c_13053,plain,
( ~ happens(overflow,X0)
| happens(sK5(spilling,X0),X0)
| releasedAt(spilling,plus(X0,n1))
| holdsAt(spilling,X0) ),
inference(superposition,[status(thm)],[c_12561,c_57]) ).
cnf(c_13096,plain,
( ~ holdsAt(X0,X1)
| X0 = filling
| holdsAt(X0,plus(X1,n1))
| releasedAt(X0,plus(X1,n1)) ),
inference(superposition,[status(thm)],[c_54,c_85]) ).
cnf(c_13129,plain,
( X0 != tapOn
| X1 != n0
| ~ happens(tapOn,n0)
| happens(X0,X1) ),
inference(instantiation,[status(thm)],[c_10033]) ).
cnf(c_13157,plain,
( ~ happens(overflow,n1)
| happens(sK5(spilling,n1),n1)
| releasedAt(spilling,plus(n1,n1))
| holdsAt(spilling,n1) ),
inference(superposition,[status(thm)],[c_12826,c_57]) ).
cnf(c_13168,plain,
( ~ happens(overflow,n1)
| happens(sK5(spilling,n1),n1)
| holdsAt(spilling,n1)
| releasedAt(spilling,n2) ),
inference(light_normalisation,[status(thm)],[c_13157,c_113]) ).
cnf(c_13287,plain,
( X0 != sK2(n0,filling,n3)
| X1 != sK3(n0,filling,n3)
| ~ happens(sK2(n0,filling,n3),sK3(n0,filling,n3))
| happens(X0,X1) ),
inference(instantiation,[status(thm)],[c_10033]) ).
cnf(c_13318,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_1316]) ).
cnf(c_13404,plain,
( ~ happens(tapOn,n0)
| holdsAt(filling,n1) ),
inference(superposition,[status(thm)],[c_1018,c_12846]) ).
cnf(c_13407,plain,
holdsAt(filling,n1),
inference(forward_subsumption_resolution,[status(thm)],[c_13404,c_93]) ).
cnf(c_13528,plain,
( X0 = n0
| X0 = n1
| less(X0,n0)
| less(n1,X0) ),
inference(superposition,[status(thm)],[c_12013,c_122]) ).
cnf(c_13533,plain,
( X0 = n0
| X0 = n1
| less(n1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13528,c_123]) ).
cnf(c_13545,plain,
( ~ holdsAt(waterLevel(X0),X1)
| ~ happens(overflow,X1)
| holdsAt(waterLevel(X0),plus(X1,n1)) ),
inference(superposition,[status(thm)],[c_11979,c_62]) ).
cnf(c_13618,plain,
( X0 != n0
| X1 != n1
| ~ less(n0,n1)
| less(X0,X1) ),
inference(instantiation,[status(thm)],[c_10032]) ).
cnf(c_13619,plain,
( n1 != n0
| n1 != n1
| ~ less(n0,n1)
| less(n1,n1) ),
inference(instantiation,[status(thm)],[c_13618]) ).
cnf(c_13643,plain,
( X0 = n1
| X0 = n2
| less(X0,n1)
| less(n2,X0) ),
inference(superposition,[status(thm)],[c_12014,c_122]) ).
cnf(c_13947,plain,
( ~ happens(tapOn,n0)
| releasedAt(waterLevel(X0),n1) ),
inference(superposition,[status(thm)],[c_1018,c_12073]) ).
cnf(c_13951,plain,
releasedAt(waterLevel(X0),n1),
inference(forward_subsumption_resolution,[status(thm)],[c_13947,c_93]) ).
cnf(c_14921,plain,
( X0 != n0
| tapOn != tapOn
| ~ happens(tapOn,n0)
| happens(tapOn,X0) ),
inference(instantiation,[status(thm)],[c_13129]) ).
cnf(c_15145,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_13318]) ).
cnf(c_15162,plain,
( ~ holdsAt(waterLevel(X0),n0)
| ~ less(n0,n2)
| ~ happens(tapOn,n0)
| holdsAt(waterLevel(plus(X0,n2)),n2)
| stoppedIn(n0,filling,plus(n0,n2)) ),
inference(superposition,[status(thm)],[c_111,c_13318]) ).
cnf(c_15218,plain,
( ~ holdsAt(waterLevel(X0),n0)
| ~ less(n0,n2)
| ~ happens(tapOn,n0)
| holdsAt(waterLevel(plus(X0,n2)),n2)
| stoppedIn(n0,filling,n2) ),
inference(light_normalisation,[status(thm)],[c_15162,c_111]) ).
cnf(c_15219,plain,
( ~ holdsAt(waterLevel(X0),n0)
| holdsAt(waterLevel(plus(X0,n2)),n2)
| stoppedIn(n0,filling,n2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15218,c_93,c_11716]) ).
cnf(c_15592,plain,
( ~ less(X0,n1)
| X0 = n0
| X0 = n1 ),
inference(superposition,[status(thm)],[c_13533,c_144]) ).
cnf(c_19001,plain,
( sK2(n0,filling,n3) != X0
| X1 != X0
| X1 = sK2(n0,filling,n3) ),
inference(instantiation,[status(thm)],[c_10029]) ).
cnf(c_20254,plain,
( ~ stoppedIn(X0,X1,n1)
| sK3(X0,X1,n1) = n0
| less(sK3(X0,X1,n1),n0) ),
inference(superposition,[status(thm)],[c_12130,c_122]) ).
cnf(c_20258,plain,
( ~ stoppedIn(X0,X1,n1)
| sK3(X0,X1,n1) = n0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_20254,c_123]) ).
cnf(c_20265,plain,
( ~ stoppedIn(X0,X1,n2)
| sK3(X0,X1,n2) = n1
| less(sK3(X0,X1,n2),n1) ),
inference(superposition,[status(thm)],[c_12131,c_122]) ).
cnf(c_20278,plain,
( ~ stoppedIn(X0,X1,n3)
| sK3(X0,X1,n3) = n2
| less(sK3(X0,X1,n3),n2) ),
inference(superposition,[status(thm)],[c_12132,c_122]) ).
cnf(c_31532,plain,
( ~ releasedAt(X0,n1)
| n0 = n1
| holdsAt(waterLevel(n3),n1)
| releasedAt(X0,n2) ),
inference(superposition,[status(thm)],[c_12456,c_98]) ).
cnf(c_31635,plain,
( X0 = n0
| ~ less(X0,n1) ),
inference(global_subsumption_just,[status(thm)],[c_15592,c_2797]) ).
cnf(c_31636,plain,
( ~ less(X0,n1)
| X0 = n0 ),
inference(renaming,[status(thm)],[c_31635]) ).
cnf(c_32237,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_1018,c_15145]) ).
cnf(c_32346,plain,
( ~ holdsAt(waterLevel(X0),n0)
| holdsAt(waterLevel(plus(X0,n1)),plus(n0,n1))
| stoppedIn(n0,filling,n1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32237,c_93,c_11704]) ).
cnf(c_35160,plain,
( ~ happens(overflow,n1)
| ~ releasedAt(spilling,n2) ),
inference(superposition,[status(thm)],[c_77,c_12782]) ).
cnf(c_35218,plain,
( ~ happens(overflow,X0)
| ~ happens(tapOn,X0) ),
inference(superposition,[status(thm)],[c_83,c_12848]) ).
cnf(c_35246,plain,
~ happens(tapOn,sK3(n0,filling,n3)),
inference(superposition,[status(thm)],[c_12697,c_35218]) ).
cnf(c_36150,plain,
( ~ releasedAt(X0,n2)
| happens(sK6(X0,n2),n2)
| releasedAt(X0,n3) ),
inference(superposition,[status(thm)],[c_114,c_12457]) ).
cnf(c_36296,plain,
( ~ releasedAt(X0,n2)
| n0 = n2
| releasedAt(X0,n3)
| holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_36150,c_96]) ).
cnf(c_41182,plain,
( sK3(n0,filling,n3) != X0
| X1 != X0
| X1 = sK3(n0,filling,n3) ),
inference(instantiation,[status(thm)],[c_10029]) ).
cnf(c_41183,plain,
( sK3(n0,filling,n3) != n1
| n1 != n1
| n1 = sK3(n0,filling,n3) ),
inference(instantiation,[status(thm)],[c_41182]) ).
cnf(c_44939,plain,
( X0 = n0
| X0 = n1
| X0 = n2
| less(n2,X0) ),
inference(superposition,[status(thm)],[c_13643,c_31636]) ).
cnf(c_57570,plain,
( ~ happens(overflow,X0)
| overflow = tapOn
| holdsAt(waterLevel(n3),X0) ),
inference(instantiation,[status(thm)],[c_99]) ).
cnf(c_57571,plain,
( ~ happens(overflow,X0)
| X0 = n0
| holdsAt(waterLevel(n3),X0) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_57575,plain,
( ~ happens(overflow,n1)
| n1 = n0
| holdsAt(waterLevel(n3),n1) ),
inference(instantiation,[status(thm)],[c_57571]) ).
cnf(c_59099,plain,
( sK2(n0,filling,n3) != overflow
| X0 != overflow
| X0 = sK2(n0,filling,n3) ),
inference(instantiation,[status(thm)],[c_19001]) ).
cnf(c_69081,plain,
( ~ releasedAt(X0,n2)
| releasedAt(X0,n3)
| holdsAt(filling,n2) ),
inference(global_subsumption_just,[status(thm)],[c_36296,c_152,c_153,c_177,c_2826,c_2992,c_36296]) ).
cnf(c_71774,plain,
( ~ stoppedIn(X0,X1,n2)
| sK3(X0,X1,n2) = n0
| sK3(X0,X1,n2) = n1 ),
inference(superposition,[status(thm)],[c_20265,c_31636]) ).
cnf(c_72106,plain,
( ~ terminates(X0,X1,n0)
| ~ happens(X0,n0)
| ~ holdsAt(X1,n1) ),
inference(superposition,[status(thm)],[c_1018,c_12604]) ).
cnf(c_72456,plain,
( ~ happens(overflow,n0)
| ~ holdsAt(filling,n1) ),
inference(superposition,[status(thm)],[c_83,c_72106]) ).
cnf(c_72458,plain,
~ happens(overflow,n0),
inference(forward_subsumption_resolution,[status(thm)],[c_72456,c_13407]) ).
cnf(c_72918,plain,
( ~ initiates(X0,X1,n2)
| ~ happens(X0,n2)
| ~ releasedAt(X1,n3) ),
inference(superposition,[status(thm)],[c_114,c_12783]) ).
cnf(c_72972,plain,
( ~ holdsAt(waterLevel(X0),n2)
| ~ releasedAt(waterLevel(X0),n3)
| ~ happens(overflow,n2) ),
inference(superposition,[status(thm)],[c_11979,c_72918]) ).
cnf(c_73634,plain,
( holdsAt(spilling,n1)
| happens(sK5(spilling,n1),n1)
| ~ happens(overflow,n1) ),
inference(global_subsumption_just,[status(thm)],[c_13168,c_13168,c_35160]) ).
cnf(c_73635,plain,
( ~ happens(overflow,n1)
| happens(sK5(spilling,n1),n1)
| holdsAt(spilling,n1) ),
inference(renaming,[status(thm)],[c_73634]) ).
cnf(c_73643,plain,
( ~ happens(overflow,n1)
| n0 = n1
| holdsAt(waterLevel(n3),n1)
| holdsAt(spilling,n1) ),
inference(superposition,[status(thm)],[c_73635,c_98]) ).
cnf(c_73691,plain,
( sK2(n0,filling,n3) != overflow
| overflow != overflow
| overflow = sK2(n0,filling,n3) ),
inference(instantiation,[status(thm)],[c_59099]) ).
cnf(c_73721,plain,
( ~ holdsAt(waterLevel(X0),n1)
| ~ happens(overflow,n1)
| holdsAt(waterLevel(X0),n2) ),
inference(superposition,[status(thm)],[c_113,c_13545]) ).
cnf(c_74462,plain,
( ~ releasedAt(X0,n1)
| holdsAt(waterLevel(n3),n1)
| releasedAt(X0,n2) ),
inference(global_subsumption_just,[status(thm)],[c_31532,c_152,c_153,c_177,c_2974,c_31532]) ).
cnf(c_74476,plain,
( ~ releasedAt(X0,n1)
| ~ holdsAt(filling,n1)
| releasedAt(X0,n2)
| happens(overflow,n1) ),
inference(superposition,[status(thm)],[c_74462,c_92]) ).
cnf(c_74479,plain,
( ~ releasedAt(X0,n1)
| releasedAt(X0,n2)
| happens(overflow,n1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74476,c_13407]) ).
cnf(c_74558,plain,
( releasedAt(waterLevel(X0),n2)
| happens(overflow,n1) ),
inference(superposition,[status(thm)],[c_13951,c_74479]) ).
cnf(c_74580,plain,
( releasedAt(waterLevel(X0),n3)
| happens(overflow,n1)
| holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_74558,c_69081]) ).
cnf(c_75321,plain,
( X0 != sK3(n0,filling,n3)
| overflow != sK2(n0,filling,n3)
| ~ happens(sK2(n0,filling,n3),sK3(n0,filling,n3))
| happens(overflow,X0) ),
inference(instantiation,[status(thm)],[c_13287]) ).
cnf(c_75322,plain,
( n1 != sK3(n0,filling,n3)
| overflow != sK2(n0,filling,n3)
| ~ happens(sK2(n0,filling,n3),sK3(n0,filling,n3))
| happens(overflow,n1) ),
inference(instantiation,[status(thm)],[c_75321]) ).
cnf(c_78532,plain,
( holdsAt(waterLevel(n3),n1)
| ~ happens(overflow,n1) ),
inference(global_subsumption_just,[status(thm)],[c_73643,c_153,c_186,c_2748,c_13619,c_57575]) ).
cnf(c_78533,plain,
( ~ happens(overflow,n1)
| holdsAt(waterLevel(n3),n1) ),
inference(renaming,[status(thm)],[c_78532]) ).
cnf(c_78543,plain,
( ~ happens(overflow,n1)
| holdsAt(waterLevel(n3),n2) ),
inference(superposition,[status(thm)],[c_78533,c_73721]) ).
cnf(c_83855,plain,
( happens(sK5(spilling,X0),X0)
| ~ happens(overflow,X0)
| holdsAt(spilling,X0) ),
inference(global_subsumption_just,[status(thm)],[c_13053,c_2541,c_13053]) ).
cnf(c_83856,plain,
( ~ happens(overflow,X0)
| happens(sK5(spilling,X0),X0)
| holdsAt(spilling,X0) ),
inference(renaming,[status(thm)],[c_83855]) ).
cnf(c_83864,plain,
( ~ happens(overflow,X0)
| X0 = n0
| holdsAt(waterLevel(n3),X0)
| holdsAt(spilling,X0) ),
inference(superposition,[status(thm)],[c_83856,c_98]) ).
cnf(c_83901,plain,
( holdsAt(waterLevel(n3),X0)
| ~ happens(overflow,X0) ),
inference(global_subsumption_just,[status(thm)],[c_83864,c_104,c_57570]) ).
cnf(c_83902,plain,
( ~ happens(overflow,X0)
| holdsAt(waterLevel(n3),X0) ),
inference(renaming,[status(thm)],[c_83901]) ).
cnf(c_83913,plain,
( ~ holdsAt(waterLevel(X0),X1)
| ~ happens(overflow,X1)
| X0 = n3 ),
inference(superposition,[status(thm)],[c_83902,c_101]) ).
cnf(c_86379,plain,
( ~ happens(tapOn,X0)
| holdsAt(filling,plus(X0,n1)) ),
inference(superposition,[status(thm)],[c_78,c_62]) ).
cnf(c_89096,plain,
( ~ happens(tapOn,X0)
| holdsAt(filling,plus(n1,X0)) ),
inference(superposition,[status(thm)],[c_119,c_86379]) ).
cnf(c_89744,plain,
( ~ happens(tapOn,n0)
| holdsAt(filling,n1) ),
inference(superposition,[status(thm)],[c_1018,c_89096]) ).
cnf(c_89749,plain,
holdsAt(filling,n1),
inference(forward_subsumption_resolution,[status(thm)],[c_89744,c_93]) ).
cnf(c_96390,plain,
( ~ holdsAt(waterLevel(X0),n0)
| holdsAt(waterLevel(plus(X0,n1)),n1)
| stoppedIn(n0,filling,n1) ),
inference(demodulation,[status(thm)],[c_32346,c_119,c_1018]) ).
cnf(c_96398,plain,
( ~ holdsAt(waterLevel(X0),n0)
| holdsAt(waterLevel(plus(n1,X0)),n1)
| stoppedIn(n0,filling,n1) ),
inference(superposition,[status(thm)],[c_119,c_96390]) ).
cnf(c_97010,plain,
( ~ holdsAt(waterLevel(n0),n0)
| stoppedIn(n0,filling,n1)
| holdsAt(waterLevel(n1),n1) ),
inference(superposition,[status(thm)],[c_1018,c_96398]) ).
cnf(c_97024,plain,
( stoppedIn(n0,filling,n1)
| holdsAt(waterLevel(n1),n1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97010,c_145]) ).
cnf(c_97151,plain,
( sK3(n0,filling,n1) = n0
| holdsAt(waterLevel(n1),n1) ),
inference(superposition,[status(thm)],[c_97024,c_20258]) ).
cnf(c_97218,plain,
( ~ happens(overflow,n1)
| sK3(n0,filling,n1) = n0
| n1 = n3 ),
inference(superposition,[status(thm)],[c_97151,c_83913]) ).
cnf(c_97219,plain,
( waterLevel(sK9(waterLevel(n1),tapOff,n1)) = waterLevel(n1)
| sK3(n0,filling,n1) = n0 ),
inference(superposition,[status(thm)],[c_97151,c_12410]) ).
cnf(c_98149,plain,
( ~ holdsAt(waterLevel(n1),sK3(n0,filling,n3))
| sK9(waterLevel(n1),tapOff,n1) = n3
| sK3(n0,filling,n1) = n0 ),
inference(superposition,[status(thm)],[c_97219,c_12706]) ).
cnf(c_103401,plain,
~ holdsAt(waterLevel(n1),sK3(n0,filling,n3)),
inference(global_subsumption_just,[status(thm)],[c_98149,c_152,c_153,c_177,c_186,c_2826,c_12710,c_13029]) ).
cnf(c_106207,plain,
( ~ holdsAt(waterLevel(X0),n2)
| ~ happens(overflow,n2)
| happens(overflow,n1)
| holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_74580,c_72972]) ).
cnf(c_112658,plain,
( ~ less(X0,n2)
| X0 = n0
| X0 = n1
| X0 = n2 ),
inference(superposition,[status(thm)],[c_44939,c_144]) ).
cnf(c_112758,plain,
( X0 = n1
| X0 = n0
| ~ less(X0,n2) ),
inference(global_subsumption_just,[status(thm)],[c_112658,c_2797,c_2813]) ).
cnf(c_112759,plain,
( ~ less(X0,n2)
| X0 = n0
| X0 = n1 ),
inference(renaming,[status(thm)],[c_112758]) ).
cnf(c_112905,plain,
( ~ stoppedIn(X0,X1,n3)
| sK3(X0,X1,n3) = n0
| sK3(X0,X1,n3) = n1
| sK3(X0,X1,n3) = n2 ),
inference(superposition,[status(thm)],[c_20278,c_112759]) ).
cnf(c_113313,plain,
( sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1
| sK3(n0,filling,n3) = n2 ),
inference(superposition,[status(thm)],[c_10026,c_112905]) ).
cnf(c_113811,plain,
( ~ holdsAt(waterLevel(n1),n2)
| sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1 ),
inference(superposition,[status(thm)],[c_113313,c_103401]) ).
cnf(c_115142,plain,
( sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1
| holdsAt(waterLevel(n3),n2) ),
inference(superposition,[status(thm)],[c_113313,c_12705]) ).
cnf(c_115143,plain,
( sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1
| holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_113313,c_12704]) ).
cnf(c_124893,plain,
( sK3(n0,filling,n3) != n0
| tapOn != tapOn
| ~ happens(tapOn,n0)
| happens(tapOn,sK3(n0,filling,n3)) ),
inference(instantiation,[status(thm)],[c_14921]) ).
cnf(c_129296,plain,
holdsAt(waterLevel(n3),n2),
inference(global_subsumption_just,[status(thm)],[c_115142,c_93,c_146,c_153,c_83,c_103,c_186,c_1395,c_12063,c_12551,c_12694,c_35246,c_41183,c_73691,c_75322,c_78543,c_115142,c_124893]) ).
cnf(c_129304,plain,
( ~ holdsAt(waterLevel(X0),n2)
| X0 = n3 ),
inference(superposition,[status(thm)],[c_129296,c_101]) ).
cnf(c_129324,plain,
( ~ holdsAt(waterLevel(n1),n2)
| n1 = n3 ),
inference(instantiation,[status(thm)],[c_129304]) ).
cnf(c_129327,plain,
~ holdsAt(waterLevel(n1),n2),
inference(global_subsumption_just,[status(thm)],[c_113811,c_152,c_153,c_177,c_186,c_2826,c_13029,c_129324]) ).
cnf(c_129354,plain,
( ~ holdsAt(waterLevel(X0),n0)
| plus(X0,n2) = n3
| stoppedIn(n0,filling,n2) ),
inference(superposition,[status(thm)],[c_15219,c_129304]) ).
cnf(c_145772,plain,
( ~ holdsAt(X0,n1)
| X0 = filling
| holdsAt(X0,plus(n1,n1))
| releasedAt(X0,n2) ),
inference(superposition,[status(thm)],[c_113,c_13096]) ).
cnf(c_145786,plain,
( ~ holdsAt(X0,n1)
| X0 = filling
| holdsAt(X0,n2)
| releasedAt(X0,n2) ),
inference(light_normalisation,[status(thm)],[c_145772,c_113]) ).
cnf(c_145937,plain,
( sK3(n0,filling,n1) = n0
| waterLevel(n1) = filling
| holdsAt(waterLevel(n1),n2)
| releasedAt(waterLevel(n1),n2) ),
inference(superposition,[status(thm)],[c_97151,c_145786]) ).
cnf(c_145943,plain,
( sK3(n0,filling,n1) = n0
| releasedAt(waterLevel(n1),n2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145937,c_129327,c_105]) ).
cnf(c_146052,plain,
( sK3(n0,filling,n1) = n0
| releasedAt(waterLevel(n1),n3)
| holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_145943,c_69081]) ).
cnf(c_146960,plain,
( sK3(n0,filling,n1) = n0
| holdsAt(filling,n2) ),
inference(global_subsumption_just,[status(thm)],[c_146052,c_152,c_93,c_146,c_153,c_83,c_103,c_177,c_186,c_1395,c_2826,c_12063,c_12551,c_12694,c_13029,c_35246,c_41183,c_73691,c_75322,c_97218,c_115143,c_124893]) ).
cnf(c_151656,plain,
( happens(overflow,n1)
| holdsAt(filling,n2) ),
inference(global_subsumption_just,[status(thm)],[c_106207,c_93,c_146,c_153,c_83,c_103,c_186,c_1395,c_12063,c_12551,c_12694,c_35246,c_41183,c_73691,c_75322,c_115143,c_124893]) ).
cnf(c_161165,plain,
( plus(n0,n2) = n3
| stoppedIn(n0,filling,n2) ),
inference(superposition,[status(thm)],[c_145,c_129354]) ).
cnf(c_161170,plain,
( n3 = n2
| stoppedIn(n0,filling,n2) ),
inference(light_normalisation,[status(thm)],[c_161165,c_111]) ).
cnf(c_172432,plain,
less(n0,n1),
inference(superposition,[status(thm)],[c_120,c_124]) ).
cnf(c_172433,plain,
less_or_equal(n0,n1),
inference(superposition,[status(thm)],[c_172432,c_121]) ).
cnf(c_172444,plain,
less(n0,n2),
inference(superposition,[status(thm)],[c_172433,c_126]) ).
cnf(c_172462,plain,
less(n2,n3),
inference(superposition,[status(thm)],[c_120,c_128]) ).
cnf(c_172730,plain,
( X0 = n1
| less(n1,X0)
| less_or_equal(X0,n0) ),
inference(superposition,[status(thm)],[c_142,c_125]) ).
cnf(c_172731,plain,
( X0 = n2
| less(n2,X0)
| less_or_equal(X0,n1) ),
inference(superposition,[status(thm)],[c_142,c_127]) ).
cnf(c_172810,plain,
( ~ happens(tapOn,X0)
| releasedAt(waterLevel(X1),plus(n1,X0)) ),
inference(superposition,[status(thm)],[c_119,c_5406]) ).
cnf(c_172821,plain,
( ~ less(X0,sK3(X1,X2,X0))
| ~ stoppedIn(X1,X2,X0) ),
inference(superposition,[status(thm)],[c_50,c_144]) ).
cnf(c_173079,plain,
( ~ stoppedIn(X0,X1,X2)
| sK2(X0,X1,X2) = overflow
| sK2(X0,X1,X2) = tapOff ),
inference(superposition,[status(thm)],[c_49,c_88]) ).
cnf(c_173116,plain,
( ~ stoppedIn(X0,X1,X2)
| sK2(X0,X1,X2) = overflow
| sK2(X0,X1,X2) = tapOn ),
inference(superposition,[status(thm)],[c_52,c_95]) ).
cnf(c_173182,plain,
( ~ releasedAt(X0,n1)
| happens(sK6(X0,n1),n1)
| releasedAt(X0,n2) ),
inference(superposition,[status(thm)],[c_113,c_59]) ).
cnf(c_173183,plain,
( ~ releasedAt(X0,X1)
| happens(sK6(X0,X1),X1)
| releasedAt(X0,plus(n1,X1)) ),
inference(superposition,[status(thm)],[c_119,c_59]) ).
cnf(c_173257,plain,
( ~ happens(overflow,X0)
| holdsAt(spilling,plus(X0,n1)) ),
inference(superposition,[status(thm)],[c_77,c_62]) ).
cnf(c_173378,plain,
( ~ terminates(X0,X1,n1)
| ~ happens(X0,n1)
| ~ holdsAt(X1,n2) ),
inference(superposition,[status(thm)],[c_113,c_63]) ).
cnf(c_173742,plain,
( ~ happens(overflow,X0)
| holdsAt(spilling,plus(n1,X0)) ),
inference(superposition,[status(thm)],[c_119,c_173257]) ).
cnf(c_173981,plain,
( ~ happens(overflow,n0)
| holdsAt(spilling,n1) ),
inference(superposition,[status(thm)],[c_1018,c_173742]) ).
cnf(c_174113,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_1316]) ).
cnf(c_174133,plain,
~ happens(overflow,n0),
inference(global_subsumption_just,[status(thm)],[c_173981,c_72458]) ).
cnf(c_174313,plain,
( X0 = n0
| X0 = n1
| less(X0,n0)
| less(n1,X0) ),
inference(superposition,[status(thm)],[c_172730,c_122]) ).
cnf(c_174318,plain,
( X0 = n0
| X0 = n1
| less(n1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_174313,c_123]) ).
cnf(c_174345,plain,
( X0 = n1
| X0 = n2
| less(X0,n1)
| less(n2,X0) ),
inference(superposition,[status(thm)],[c_172731,c_122]) ).
cnf(c_174571,plain,
( ~ happens(tapOn,n0)
| releasedAt(waterLevel(X0),n1) ),
inference(superposition,[status(thm)],[c_1018,c_172810]) ).
cnf(c_174575,plain,
releasedAt(waterLevel(X0),n1),
inference(forward_subsumption_resolution,[status(thm)],[c_174571,c_93]) ).
cnf(c_175725,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_174113]) ).
cnf(c_175742,plain,
( ~ holdsAt(waterLevel(X0),n0)
| ~ less(n0,n2)
| ~ happens(tapOn,n0)
| holdsAt(waterLevel(plus(X0,n2)),n2)
| stoppedIn(n0,filling,plus(n0,n2)) ),
inference(superposition,[status(thm)],[c_111,c_174113]) ).
cnf(c_175780,plain,
( ~ holdsAt(waterLevel(X0),n0)
| ~ less(n0,n2)
| ~ happens(tapOn,n0)
| holdsAt(waterLevel(plus(X0,n2)),n2)
| stoppedIn(n0,filling,n2) ),
inference(light_normalisation,[status(thm)],[c_175742,c_111]) ).
cnf(c_175781,plain,
( ~ holdsAt(waterLevel(X0),n0)
| holdsAt(waterLevel(plus(X0,n2)),n2)
| stoppedIn(n0,filling,n2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_175780,c_93,c_172444]) ).
cnf(c_176089,plain,
( ~ less(X0,n1)
| X0 = n0
| X0 = n1 ),
inference(superposition,[status(thm)],[c_174318,c_144]) ).
cnf(c_176102,plain,
( ~ stoppedIn(X0,X1,n1)
| sK3(X0,X1,n1) = n0
| sK3(X0,X1,n1) = n1 ),
inference(superposition,[status(thm)],[c_174318,c_172821]) ).
cnf(c_176277,plain,
( sK3(X0,X1,n1) = n0
| ~ stoppedIn(X0,X1,n1) ),
inference(global_subsumption_just,[status(thm)],[c_176102,c_20258]) ).
cnf(c_176278,plain,
( ~ stoppedIn(X0,X1,n1)
| sK3(X0,X1,n1) = n0 ),
inference(renaming,[status(thm)],[c_176277]) ).
cnf(c_191660,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_1018,c_175725]) ).
cnf(c_191755,plain,
( ~ holdsAt(waterLevel(X0),n0)
| holdsAt(waterLevel(plus(X0,n1)),plus(n0,n1))
| stoppedIn(n0,filling,n1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_191660,c_93,c_172432]) ).
cnf(c_196945,plain,
( X0 = n0
| ~ less(X0,n1) ),
inference(global_subsumption_just,[status(thm)],[c_176089,c_123,c_2795]) ).
cnf(c_196946,plain,
( ~ less(X0,n1)
| X0 = n0 ),
inference(renaming,[status(thm)],[c_196945]) ).
cnf(c_219286,plain,
( ~ releasedAt(X0,n1)
| n0 = n1
| holdsAt(waterLevel(n3),n1)
| releasedAt(X0,n2) ),
inference(superposition,[status(thm)],[c_173182,c_98]) ).
cnf(c_221978,plain,
( ~ happens(overflow,n1)
| ~ holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_83,c_173378]) ).
cnf(c_222852,plain,
( ~ releasedAt(X0,n2)
| happens(sK6(X0,n2),n2)
| releasedAt(X0,n3) ),
inference(superposition,[status(thm)],[c_114,c_173183]) ).
cnf(c_223017,plain,
( ~ releasedAt(X0,n2)
| n0 = n2
| releasedAt(X0,n3)
| holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_222852,c_96]) ).
cnf(c_223865,plain,
( X0 = n0
| X0 = n1
| X0 = n2
| less(n2,X0) ),
inference(superposition,[status(thm)],[c_174345,c_196946]) ).
cnf(c_228057,plain,
( ~ releasedAt(X0,n2)
| releasedAt(X0,n3)
| holdsAt(filling,n2) ),
inference(global_subsumption_just,[status(thm)],[c_223017,c_69081]) ).
cnf(c_230609,plain,
( ~ holdsAt(waterLevel(n1),n0)
| stoppedIn(n0,filling,n2)
| holdsAt(waterLevel(n3),n2) ),
inference(superposition,[status(thm)],[c_114,c_175781]) ).
cnf(c_230765,plain,
holdsAt(waterLevel(n3),n2),
inference(global_subsumption_just,[status(thm)],[c_230609,c_93,c_146,c_153,c_83,c_103,c_186,c_1395,c_12063,c_12551,c_12694,c_35246,c_41183,c_73691,c_75322,c_78543,c_115142,c_124893]) ).
cnf(c_230769,plain,
( ~ holdsAt(waterLevel(X0),n2)
| X0 = n3 ),
inference(superposition,[status(thm)],[c_230765,c_101]) ).
cnf(c_230917,plain,
( ~ holdsAt(waterLevel(X0),n0)
| plus(X0,n2) = n3
| stoppedIn(n0,filling,n2) ),
inference(superposition,[status(thm)],[c_175781,c_230769]) ).
cnf(c_233618,plain,
( ~ releasedAt(X0,n1)
| holdsAt(waterLevel(n3),n1)
| releasedAt(X0,n2) ),
inference(global_subsumption_just,[status(thm)],[c_219286,c_74462]) ).
cnf(c_233633,plain,
( ~ releasedAt(X0,n1)
| ~ holdsAt(filling,n1)
| releasedAt(X0,n2)
| happens(overflow,n1) ),
inference(superposition,[status(thm)],[c_233618,c_92]) ).
cnf(c_233636,plain,
( ~ releasedAt(X0,n1)
| releasedAt(X0,n2)
| happens(overflow,n1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233633,c_89749]) ).
cnf(c_233668,plain,
( releasedAt(waterLevel(X0),n2)
| happens(overflow,n1) ),
inference(superposition,[status(thm)],[c_174575,c_233636]) ).
cnf(c_233814,plain,
( releasedAt(waterLevel(X0),n3)
| happens(overflow,n1)
| holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_233668,c_228057]) ).
cnf(c_235414,plain,
( happens(overflow,n1)
| holdsAt(filling,n2) ),
inference(global_subsumption_just,[status(thm)],[c_233814,c_151656]) ).
cnf(c_235420,plain,
( overflow = tapOn
| holdsAt(waterLevel(n3),n1)
| holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_235414,c_99]) ).
cnf(c_235440,plain,
( holdsAt(waterLevel(n3),n1)
| holdsAt(filling,n2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_235420,c_104]) ).
cnf(c_235522,plain,
( ~ holdsAt(waterLevel(X0),n1)
| X0 = n3
| holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_235440,c_101]) ).
cnf(c_240142,plain,
( ~ stoppedIn(X0,X1,n2)
| sK3(X0,X1,n2) = n0
| sK3(X0,X1,n2) = n1
| sK3(X0,X1,n2) = n2 ),
inference(superposition,[status(thm)],[c_223865,c_172821]) ).
cnf(c_240235,plain,
( plus(n0,n2) = n3
| stoppedIn(n0,filling,n2) ),
inference(superposition,[status(thm)],[c_145,c_230917]) ).
cnf(c_240236,plain,
( n3 = n2
| stoppedIn(n0,filling,n2) ),
inference(light_normalisation,[status(thm)],[c_240235,c_111]) ).
cnf(c_240486,plain,
( sK3(X0,X1,n2) = n1
| sK3(X0,X1,n2) = n0
| ~ stoppedIn(X0,X1,n2) ),
inference(global_subsumption_just,[status(thm)],[c_240142,c_71774]) ).
cnf(c_240487,plain,
( ~ stoppedIn(X0,X1,n2)
| sK3(X0,X1,n2) = n0
| sK3(X0,X1,n2) = n1 ),
inference(renaming,[status(thm)],[c_240486]) ).
cnf(c_240503,plain,
( sK2(n0,filling,n2) = overflow
| sK2(n0,filling,n2) = tapOn
| n3 = n2 ),
inference(superposition,[status(thm)],[c_240236,c_173116]) ).
cnf(c_240505,plain,
( sK2(n0,filling,n2) = overflow
| sK2(n0,filling,n2) = tapOff
| n3 = n2 ),
inference(superposition,[status(thm)],[c_240236,c_173079]) ).
cnf(c_240506,plain,
( sK3(n0,filling,n2) = n0
| sK3(n0,filling,n2) = n1
| n3 = n2 ),
inference(superposition,[status(thm)],[c_240236,c_240487]) ).
cnf(c_241752,plain,
( sK2(n0,filling,n2) = overflow
| tapOff = tapOn
| n3 = n2 ),
inference(superposition,[status(thm)],[c_240505,c_240503]) ).
cnf(c_241754,plain,
( sK2(n0,filling,n2) = overflow
| n3 = n2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_241752,c_102]) ).
cnf(c_241799,plain,
( ~ stoppedIn(n0,filling,n2)
| n3 = n2
| happens(overflow,sK3(n0,filling,n2)) ),
inference(superposition,[status(thm)],[c_241754,c_52]) ).
cnf(c_241806,plain,
( n3 = n2
| happens(overflow,sK3(n0,filling,n2)) ),
inference(global_subsumption_just,[status(thm)],[c_241799,c_161170,c_241799]) ).
cnf(c_241812,plain,
( overflow = tapOn
| n3 = n2
| holdsAt(waterLevel(n3),sK3(n0,filling,n2)) ),
inference(superposition,[status(thm)],[c_241806,c_99]) ).
cnf(c_241824,plain,
( n3 = n2
| holdsAt(waterLevel(n3),sK3(n0,filling,n2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_241812,c_104]) ).
cnf(c_241973,plain,
( sK3(n0,filling,n2) = n1
| n3 = n2
| happens(overflow,n0) ),
inference(superposition,[status(thm)],[c_240506,c_241806]) ).
cnf(c_241974,plain,
( sK3(n0,filling,n2) = n1
| n3 = n2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_241973,c_174133]) ).
cnf(c_242061,plain,
( n3 = n2
| holdsAt(waterLevel(n3),n1) ),
inference(superposition,[status(thm)],[c_241974,c_241824]) ).
cnf(c_242063,plain,
( n3 = n2
| happens(overflow,n1) ),
inference(superposition,[status(thm)],[c_241974,c_241806]) ).
cnf(c_242119,plain,
( ~ holdsAt(filling,n2)
| n3 = n2 ),
inference(superposition,[status(thm)],[c_242063,c_221978]) ).
cnf(c_256464,plain,
( ~ holdsAt(waterLevel(X0),n1)
| X0 = n3
| n3 = n2 ),
inference(superposition,[status(thm)],[c_242061,c_101]) ).
cnf(c_256474,plain,
( ~ holdsAt(waterLevel(n1),n1)
| n1 = n3
| n3 = n2 ),
inference(instantiation,[status(thm)],[c_256464]) ).
cnf(c_277843,plain,
( ~ holdsAt(waterLevel(X0),n0)
| holdsAt(waterLevel(plus(X0,n1)),n1)
| stoppedIn(n0,filling,n1) ),
inference(demodulation,[status(thm)],[c_191755,c_119,c_1018]) ).
cnf(c_277851,plain,
( ~ holdsAt(waterLevel(X0),n0)
| holdsAt(waterLevel(plus(n1,X0)),n1)
| stoppedIn(n0,filling,n1) ),
inference(superposition,[status(thm)],[c_119,c_277843]) ).
cnf(c_277981,plain,
( ~ holdsAt(waterLevel(n0),n0)
| stoppedIn(n0,filling,n1)
| holdsAt(waterLevel(n1),n1) ),
inference(superposition,[status(thm)],[c_1018,c_277851]) ).
cnf(c_277996,plain,
( stoppedIn(n0,filling,n1)
| holdsAt(waterLevel(n1),n1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_277981,c_145]) ).
cnf(c_278185,plain,
( sK3(n0,filling,n1) = n0
| holdsAt(waterLevel(n1),n1) ),
inference(superposition,[status(thm)],[c_277996,c_176278]) ).
cnf(c_278209,plain,
( sK3(n0,filling,n1) = n0
| n1 = n3
| holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_278185,c_235522]) ).
cnf(c_278529,plain,
( sK3(n0,filling,n1) = n0
| holdsAt(filling,n2) ),
inference(global_subsumption_just,[status(thm)],[c_278209,c_146960]) ).
cnf(c_278535,plain,
( sK3(n0,filling,n1) = n0
| n3 = n2 ),
inference(superposition,[status(thm)],[c_278529,c_242119]) ).
cnf(c_278648,plain,
( ~ stoppedIn(n0,filling,n1)
| n3 = n2
| less(n0,n0) ),
inference(superposition,[status(thm)],[c_278535,c_51]) ).
cnf(c_278676,plain,
( ~ stoppedIn(n0,filling,n1)
| n3 = n2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_278648,c_123]) ).
cnf(c_278679,plain,
n3 = n2,
inference(global_subsumption_just,[status(thm)],[c_278676,c_152,c_153,c_177,c_186,c_2826,c_13029,c_97024,c_256474,c_278676]) ).
cnf(c_279115,plain,
less(n3,n3),
inference(demodulation,[status(thm)],[c_172462,c_278679]) ).
cnf(c_279129,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_279115,c_143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : CSR011+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.09/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n002.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 23:15:27 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.42 Running first-order theorem proving
% 0.17/0.42 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
% 120.06/16.73 % SZS status Started for theBenchmark.p
% 120.06/16.73 % SZS status Theorem for theBenchmark.p
% 120.06/16.73
% 120.06/16.73 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 120.06/16.73
% 120.06/16.73 ------ iProver source info
% 120.06/16.73
% 120.06/16.73 git: date: 2024-05-02 19:28:25 +0000
% 120.06/16.73 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 120.06/16.73 git: non_committed_changes: false
% 120.06/16.73
% 120.06/16.73 ------ Parsing...
% 120.06/16.73 ------ Clausification by vclausify_rel & Parsing by iProver...
% 120.06/16.73
% 120.06/16.73 ------ 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
% 120.06/16.73
% 120.06/16.73 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 120.06/16.73
% 120.06/16.73 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 120.06/16.73 ------ Proving...
% 120.06/16.73 ------ Problem Properties
% 120.06/16.73
% 120.06/16.73
% 120.06/16.73 clauses 99
% 120.06/16.73 conjectures 1
% 120.06/16.73 EPR 53
% 120.06/16.73 Horn 76
% 120.06/16.73 unary 33
% 120.06/16.73 binary 37
% 120.06/16.73 lits 208
% 120.06/16.73 lits eq 48
% 120.06/16.73 fd_pure 0
% 120.06/16.73 fd_pseudo 0
% 120.06/16.73 fd_cond 14
% 120.06/16.73 fd_pseudo_cond 4
% 120.06/16.73 AC symbols 0
% 120.06/16.73
% 120.06/16.73 ------ Schedule dynamic 5 is on
% 120.06/16.73
% 120.06/16.73 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 120.06/16.73
% 120.06/16.73
% 120.06/16.73 ------
% 120.06/16.73 Current options:
% 120.06/16.73 ------
% 120.06/16.73
% 120.06/16.73
% 120.06/16.73
% 120.06/16.73
% 120.06/16.73 ------ Proving...
% 120.06/16.73 Proof_search_loop: time out after: 6762 full_loop iterations
% 120.06/16.73
% 120.06/16.73 ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 120.06/16.73
% 120.06/16.73
% 120.06/16.73 ------
% 120.06/16.73 Current options:
% 120.06/16.73 ------
% 120.06/16.73
% 120.06/16.73
% 120.06/16.73
% 120.06/16.73
% 120.06/16.73 ------ Proving...
% 120.06/16.73
% 120.06/16.73
% 120.06/16.73 % SZS status Theorem for theBenchmark.p
% 120.06/16.73
% 120.06/16.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 120.06/16.73
% 120.06/16.74
%------------------------------------------------------------------------------