TSTP Solution File: CSR001+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : CSR001+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.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 02:11:01 EDT 2024
% Result : Theorem 65.80s 9.75s
% Output : CNFRefutation 65.80s
% 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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',keep_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/sandbox2/benchmark/theBenchmark.p',keep_released) ).
fof(f8,axiom,
! [X1,X4] :
( ( ~ ? [X3] :
( releases(X3,X1,X4)
& happens(X3,X4) )
& ~ releasedAt(X1,X4) )
=> ~ releasedAt(X1,plus(X4,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',keep_not_released) ).
fof(f9,axiom,
! [X3,X4,X1] :
( ( initiates(X3,X1,X4)
& happens(X3,X4) )
=> holdsAt(X1,plus(X4,n1)) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',same_waterLevel) ).
fof(f19,axiom,
tapOn != tapOff,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tapOff_not_tapOn) ).
fof(f21,axiom,
tapOn != overflow,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',overflow_not_tapOn) ).
fof(f22,axiom,
! [X11] : filling != waterLevel(X11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',filling_not_waterLevel) ).
fof(f27,axiom,
n1 = plus(n0,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_1) ).
fof(f29,axiom,
n3 = plus(n0,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_3) ).
fof(f30,axiom,
n2 = plus(n1,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_1) ).
fof(f31,axiom,
n3 = plus(n1,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_2) ).
fof(f32,axiom,
plus(n1,n3) = n4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_3) ).
fof(f36,axiom,
! [X11,X12] : plus(X11,X12) = plus(X12,X11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_plus) ).
fof(f37,axiom,
! [X11,X12] :
( less_or_equal(X11,X12)
<=> ( X11 = X12
| less(X11,X12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal) ).
fof(f38,axiom,
~ ? [X11] : less(X11,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less0) ).
fof(f39,axiom,
! [X11] :
( less(X11,n1)
<=> less_or_equal(X11,n0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less1) ).
fof(f40,axiom,
! [X11] :
( less(X11,n2)
<=> less_or_equal(X11,n1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less2) ).
fof(f41,axiom,
! [X11] :
( less(X11,n3)
<=> less_or_equal(X11,n2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less3) ).
fof(f42,axiom,
! [X11] :
( less(X11,n4)
<=> less_or_equal(X11,n3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less4) ).
fof(f48,axiom,
! [X11,X12] :
( less(X11,X12)
<=> ( X11 != X12
& ~ less(X12,X11) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_property) ).
fof(f49,axiom,
holdsAt(waterLevel(n0),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',waterLevel_0) ).
fof(f55,conjecture,
holdsAt(waterLevel(n3),n4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',waterLevel_4) ).
fof(f56,negated_conjecture,
~ holdsAt(waterLevel(n3),n4),
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(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(f63,plain,
! [X0,X1] :
( ( ~ ? [X2] :
( releases(X2,X0,X1)
& happens(X2,X1) )
& ~ releasedAt(X0,X1) )
=> ~ releasedAt(X0,plus(X1,n1)) ),
inference(rectify,[],[f8]) ).
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(f83,plain,
! [X0] :
( less(X0,n4)
<=> less_or_equal(X0,n3) ),
inference(rectify,[],[f42]) ).
fof(f89,plain,
! [X0,X1] :
( less(X0,X1)
<=> ( X0 != X1
& ~ less(X1,X0) ) ),
inference(rectify,[],[f48]) ).
fof(f91,plain,
~ holdsAt(waterLevel(n3),n4),
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(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(f105,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| ? [X2] :
( releases(X2,X0,X1)
& happens(X2,X1) )
| releasedAt(X0,X1) ),
inference(ennf_transformation,[],[f63]) ).
fof(f106,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| ? [X2] :
( releases(X2,X0,X1)
& happens(X2,X1) )
| releasedAt(X0,X1) ),
inference(flattening,[],[f105]) ).
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(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(f131,plain,
! [X0,X1] :
( ? [X2] :
( releases(X2,X0,X1)
& happens(X2,X1) )
=> ( releases(sK7(X0,X1),X0,X1)
& happens(sK7(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| ( releases(sK7(X0,X1),X0,X1)
& happens(sK7(X0,X1),X1) )
| releasedAt(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f106,f131]) ).
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(f157,plain,
! [X0] :
( ( less(X0,n4)
| ~ less_or_equal(X0,n3) )
& ( less_or_equal(X0,n3)
| ~ less(X0,n4) ) ),
inference(nnf_transformation,[],[f83]) ).
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(f170,plain,
! [X0,X1] :
( holdsAt(X0,plus(X1,n1))
| happens(sK4(X0,X1),X1)
| releasedAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1) ),
inference(cnf_transformation,[],[f126]) ).
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(f174,plain,
! [X0,X1] :
( releasedAt(X0,plus(X1,n1))
| happens(sK6(X0,X1),X1)
| ~ releasedAt(X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f176,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| happens(sK7(X0,X1),X1)
| releasedAt(X0,X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f177,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| releases(sK7(X0,X1),X0,X1)
| releasedAt(X0,X1) ),
inference(cnf_transformation,[],[f132]) ).
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(f182,plain,
! [X2,X0,X1] :
( ~ releasedAt(X2,plus(X1,n1))
| ~ terminates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f183,plain,
! [X2,X0,X1] :
( holdsAt(waterLevel(sK8(X0,X1,X2)),X2)
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f136]) ).
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(f187,plain,
! [X2,X0,X1] :
( holdsAt(waterLevel(sK9(X0,X1,X2)),X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f140]) ).
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(f197,plain,
! [X2,X0,X1] :
( initiates(X0,X1,X2)
| ~ sP0(X1,X0,X2) ),
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(f203,plain,
! [X2,X0,X1] :
( terminates(X0,X1,X2)
| filling != X1
| tapOff != X0 ),
inference(cnf_transformation,[],[f144]) ).
fof(f204,plain,
! [X2,X0,X1] :
( terminates(X0,X1,X2)
| filling != X1
| overflow != X0 ),
inference(cnf_transformation,[],[f144]) ).
fof(f206,plain,
! [X2,X0,X1] :
( waterLevel(sK10(X0,X1)) = X1
| ~ releases(X0,X1,X2) ),
inference(cnf_transformation,[],[f148]) ).
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(f213,plain,
! [X0,X1] :
( overflow = X0
| n0 = X1
| ~ 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(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(f229,plain,
n3 = plus(n0,n3),
inference(cnf_transformation,[],[f29]) ).
fof(f230,plain,
n2 = plus(n1,n1),
inference(cnf_transformation,[],[f30]) ).
fof(f231,plain,
n3 = plus(n1,n2),
inference(cnf_transformation,[],[f31]) ).
fof(f232,plain,
plus(n1,n3) = n4,
inference(cnf_transformation,[],[f32]) ).
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(f247,plain,
! [X0] :
( less_or_equal(X0,n3)
| ~ less(X0,n4) ),
inference(cnf_transformation,[],[f157]) ).
fof(f248,plain,
! [X0] :
( less(X0,n4)
| ~ less_or_equal(X0,n3) ),
inference(cnf_transformation,[],[f157]) ).
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(f268,plain,
~ holdsAt(waterLevel(n3),n4),
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(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(f279,plain,
! [X2,X0] :
( terminates(X0,filling,X2)
| tapOff != X0 ),
inference(equality_resolution,[],[f203]) ).
fof(f280,plain,
! [X2] : terminates(tapOff,filling,X2),
inference(equality_resolution,[],[f279]) ).
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_55,plain,
( ~ holdsAt(X0,X1)
| happens(sK4(X0,X1),X1)
| holdsAt(X0,plus(X1,n1))
| releasedAt(X0,plus(X1,n1)) ),
inference(cnf_transformation,[],[f170]) ).
cnf(c_59,plain,
( ~ releasedAt(X0,X1)
| happens(sK6(X0,X1),X1)
| releasedAt(X0,plus(X1,n1)) ),
inference(cnf_transformation,[],[f174]) ).
cnf(c_60,plain,
( ~ releasedAt(X0,plus(X1,n1))
| releases(sK7(X0,X1),X0,X1)
| releasedAt(X0,X1) ),
inference(cnf_transformation,[],[f177]) ).
cnf(c_61,plain,
( ~ releasedAt(X0,plus(X1,n1))
| happens(sK7(X0,X1),X1)
| releasedAt(X0,X1) ),
inference(cnf_transformation,[],[f176]) ).
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_65,plain,
( ~ releasedAt(X0,plus(X1,n1))
| ~ terminates(X2,X0,X1)
| ~ happens(X2,X1) ),
inference(cnf_transformation,[],[f182]) ).
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_70,plain,
( ~ sP1(X0,X1,X2)
| holdsAt(waterLevel(sK8(X0,X1,X2)),X2) ),
inference(cnf_transformation,[],[f183]) ).
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_74,plain,
( ~ sP0(X0,X1,X2)
| holdsAt(waterLevel(sK9(X0,X1,X2)),X2) ),
inference(cnf_transformation,[],[f187]) ).
cnf(c_75,plain,
( ~ sP1(X0,X1,X2)
| initiates(X1,X0,X2) ),
inference(cnf_transformation,[],[f198]) ).
cnf(c_76,plain,
( ~ sP0(X0,X1,X2)
| initiates(X1,X0,X2) ),
inference(cnf_transformation,[],[f197]) ).
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_84,plain,
terminates(tapOff,filling,X0),
inference(cnf_transformation,[],[f280]) ).
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_90,plain,
( ~ releases(X0,X1,X2)
| waterLevel(sK10(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f206]) ).
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_94,plain,
( ~ happens(X0,X1)
| X0 = overflow
| X1 = n0 ),
inference(cnf_transformation,[],[f213]) ).
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_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_112,plain,
plus(n0,n3) = n3,
inference(cnf_transformation,[],[f229]) ).
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_115,plain,
plus(n1,n3) = n4,
inference(cnf_transformation,[],[f232]) ).
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_130,plain,
( ~ less_or_equal(X0,n3)
| less(X0,n4) ),
inference(cnf_transformation,[],[f248]) ).
cnf(c_131,plain,
( ~ less(X0,n4)
| less_or_equal(X0,n3) ),
inference(cnf_transformation,[],[f247]) ).
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_151,negated_conjecture,
~ holdsAt(waterLevel(n3),n4),
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_242,plain,
( less_or_equal(X0,n3)
| ~ less(X0,n4) ),
inference(prop_impl_just,[status(thm)],[c_131]) ).
cnf(c_243,plain,
( ~ less(X0,n4)
| less_or_equal(X0,n3) ),
inference(renaming,[status(thm)],[c_242]) ).
cnf(c_244,plain,
( ~ less_or_equal(X0,n3)
| less(X0,n4) ),
inference(prop_impl_just,[status(thm)],[c_130]) ).
cnf(c_276,plain,
( ~ releases(X0,X1,X2)
| waterLevel(sK10(X0,X1)) = X1 ),
inference(prop_impl_just,[status(thm)],[c_90]) ).
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_1354,plain,
( sK7(X0,X1) != X2
| X0 != X3
| X1 != X4
| ~ releasedAt(X0,plus(X1,n1))
| waterLevel(sK10(X2,X3)) = X3
| releasedAt(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_60,c_276]) ).
cnf(c_1355,plain,
( ~ releasedAt(X0,plus(X1,n1))
| waterLevel(sK10(sK7(X0,X1),X0)) = X0
| releasedAt(X0,X1) ),
inference(unflattening,[status(thm)],[c_1354]) ).
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_2770,plain,
( X0 != X1
| X2 != n0
| ~ less(X1,n1)
| X0 = X2
| less(X0,X2) ),
inference(resolution_lifted,[status(thm)],[c_122,c_231]) ).
cnf(c_2771,plain,
( ~ less(X0,n1)
| X0 = n0
| less(X0,n0) ),
inference(unflattening,[status(thm)],[c_2770]) ).
cnf(c_2772,plain,
( X0 = n0
| ~ less(X0,n1) ),
inference(global_subsumption_just,[status(thm)],[c_2771,c_123,c_2771]) ).
cnf(c_2773,plain,
( ~ less(X0,n1)
| X0 = n0 ),
inference(renaming,[status(thm)],[c_2772]) ).
cnf(c_2788,plain,
( X0 != X1
| X2 != n1
| ~ less(X1,n2)
| X0 = X2
| less(X0,X2) ),
inference(resolution_lifted,[status(thm)],[c_122,c_235]) ).
cnf(c_2789,plain,
( ~ less(X0,n2)
| X0 = n1
| less(X0,n1) ),
inference(unflattening,[status(thm)],[c_2788]) ).
cnf(c_2800,plain,
( X0 != X1
| X2 != n2
| ~ less(X0,X2)
| less(X1,n3) ),
inference(resolution_lifted,[status(thm)],[c_304,c_240]) ).
cnf(c_2801,plain,
( ~ less(X0,n2)
| less(X0,n3) ),
inference(unflattening,[status(thm)],[c_2800]) ).
cnf(c_2802,plain,
( ~ less(n1,n2)
| less(n1,n3) ),
inference(instantiation,[status(thm)],[c_2801]) ).
cnf(c_2820,plain,
( X0 != X1
| X2 != n3
| ~ less(X0,X2)
| less(X1,n4) ),
inference(resolution_lifted,[status(thm)],[c_304,c_244]) ).
cnf(c_2821,plain,
( ~ less(X0,n3)
| less(X0,n4) ),
inference(unflattening,[status(thm)],[c_2820]) ).
cnf(c_2822,plain,
( ~ less(n1,n3)
| less(n1,n4) ),
inference(instantiation,[status(thm)],[c_2821]) ).
cnf(c_2948,plain,
( X0 != X1
| n0 != n1
| ~ less(X1,n2)
| less(X0,n1) ),
inference(resolution_lifted,[status(thm)],[c_232,c_235]) ).
cnf(c_2949,plain,
( n0 != n1
| ~ less(X0,n2)
| less(X0,n1) ),
inference(unflattening,[status(thm)],[c_2948]) ).
cnf(c_2950,plain,
( n0 != n1
| ~ less(n1,n2)
| less(n1,n1) ),
inference(instantiation,[status(thm)],[c_2949]) ).
cnf(c_2966,plain,
( X0 != X1
| n0 != n2
| ~ less(X1,n3)
| less(X0,n1) ),
inference(resolution_lifted,[status(thm)],[c_232,c_239]) ).
cnf(c_2967,plain,
( n0 != n2
| ~ less(X0,n3)
| less(X0,n1) ),
inference(unflattening,[status(thm)],[c_2966]) ).
cnf(c_2968,plain,
( n0 != n2
| ~ less(n1,n3)
| less(n1,n1) ),
inference(instantiation,[status(thm)],[c_2967]) ).
cnf(c_2984,plain,
( X0 != X1
| n0 != n3
| ~ less(X1,n4)
| less(X0,n1) ),
inference(resolution_lifted,[status(thm)],[c_232,c_243]) ).
cnf(c_2985,plain,
( n0 != n3
| ~ less(X0,n4)
| less(X0,n1) ),
inference(unflattening,[status(thm)],[c_2984]) ).
cnf(c_2986,plain,
( n0 != n3
| ~ less(n1,n4)
| less(n1,n1) ),
inference(instantiation,[status(thm)],[c_2985]) ).
cnf(c_5382,plain,
( ~ happens(tapOn,X0)
| releasedAt(waterLevel(X1),plus(X0,n1)) ),
inference(prop_impl_just,[status(thm)],[c_1377]) ).
cnf(c_9978,plain,
waterLevel(n3) = sP0_iProver_def,
definition ).
cnf(c_9979,negated_conjecture,
~ holdsAt(sP0_iProver_def,n4),
inference(demodulation,[status(thm)],[c_151,c_9978]) ).
cnf(c_9985,plain,
( X0 != X1
| X2 != X3
| ~ less(X1,X3)
| less(X0,X2) ),
theory(equality) ).
cnf(c_11654,plain,
filling != sP0_iProver_def,
inference(superposition,[status(thm)],[c_9978,c_105]) ).
cnf(c_11672,plain,
less(n0,n1),
inference(superposition,[status(thm)],[c_120,c_124]) ).
cnf(c_11673,plain,
less_or_equal(n0,n1),
inference(superposition,[status(thm)],[c_11672,c_121]) ).
cnf(c_11684,plain,
less(n0,n2),
inference(superposition,[status(thm)],[c_11673,c_126]) ).
cnf(c_11716,plain,
less_or_equal(n0,n2),
inference(superposition,[status(thm)],[c_11684,c_121]) ).
cnf(c_11722,plain,
less(n0,n3),
inference(superposition,[status(thm)],[c_11716,c_128]) ).
cnf(c_11953,plain,
( ~ holdsAt(waterLevel(n3),X0)
| sP1(sP0_iProver_def,overflow,X0) ),
inference(superposition,[status(thm)],[c_9978,c_67]) ).
cnf(c_11954,plain,
( ~ holdsAt(waterLevel(X0),X1)
| initiates(overflow,waterLevel(X0),X1) ),
inference(superposition,[status(thm)],[c_67,c_75]) ).
cnf(c_11956,plain,
( ~ holdsAt(sP0_iProver_def,X0)
| sP1(sP0_iProver_def,overflow,X0) ),
inference(light_normalisation,[status(thm)],[c_11953,c_9978]) ).
cnf(c_11967,plain,
( ~ holdsAt(waterLevel(n3),X0)
| sP0(sP0_iProver_def,tapOff,X0) ),
inference(superposition,[status(thm)],[c_9978,c_71]) ).
cnf(c_11970,plain,
( ~ holdsAt(sP0_iProver_def,X0)
| sP0(sP0_iProver_def,tapOff,X0) ),
inference(light_normalisation,[status(thm)],[c_11967,c_9978]) ).
cnf(c_12039,plain,
( X0 = n1
| less(n1,X0)
| less_or_equal(X0,n0) ),
inference(superposition,[status(thm)],[c_142,c_125]) ).
cnf(c_12040,plain,
( X0 = n2
| less(n2,X0)
| less_or_equal(X0,n1) ),
inference(superposition,[status(thm)],[c_142,c_127]) ).
cnf(c_12104,plain,
( ~ happens(tapOn,X0)
| releasedAt(sP0_iProver_def,plus(X0,n1)) ),
inference(superposition,[status(thm)],[c_9978,c_5382]) ).
cnf(c_12106,plain,
( ~ happens(tapOn,X0)
| releasedAt(waterLevel(X1),plus(n1,X0)) ),
inference(superposition,[status(thm)],[c_119,c_5382]) ).
cnf(c_12125,plain,
( ~ stoppedIn(X0,X1,n1)
| less_or_equal(sK3(X0,X1,n1),n0) ),
inference(superposition,[status(thm)],[c_50,c_125]) ).
cnf(c_12127,plain,
( ~ stoppedIn(X0,X1,n3)
| less_or_equal(sK3(X0,X1,n3),n2) ),
inference(superposition,[status(thm)],[c_50,c_129]) ).
cnf(c_12320,plain,
( ~ holdsAt(filling,X0)
| ~ holdsAt(sP0_iProver_def,X0)
| happens(overflow,X0) ),
inference(light_normalisation,[status(thm)],[c_92,c_9978]) ).
cnf(c_12366,plain,
( ~ happens(X0,X1)
| X1 = n0
| holdsAt(sP0_iProver_def,X1) ),
inference(light_normalisation,[status(thm)],[c_98,c_9978]) ).
cnf(c_12374,plain,
( ~ happens(X0,X1)
| X0 = tapOn
| holdsAt(sP0_iProver_def,X1) ),
inference(light_normalisation,[status(thm)],[c_99,c_9978]) ).
cnf(c_12394,plain,
( ~ holdsAt(waterLevel(X0),X1)
| waterLevel(sK9(waterLevel(X0),tapOff,X1)) = waterLevel(X0) ),
inference(superposition,[status(thm)],[c_71,c_72]) ).
cnf(c_12443,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_12473,plain,
( ~ releasedAt(X0,n1)
| happens(sK6(X0,n1),n1)
| releasedAt(X0,n2) ),
inference(superposition,[status(thm)],[c_113,c_59]) ).
cnf(c_12474,plain,
( ~ releasedAt(X0,X1)
| happens(sK6(X0,X1),X1)
| releasedAt(X0,plus(n1,X1)) ),
inference(superposition,[status(thm)],[c_119,c_59]) ).
cnf(c_12527,plain,
( ~ releasedAt(X0,n2)
| happens(sK7(X0,n1),n1)
| releasedAt(X0,n1) ),
inference(superposition,[status(thm)],[c_113,c_61]) ).
cnf(c_12528,plain,
( ~ releasedAt(X0,plus(n1,X1))
| happens(sK7(X0,X1),X1)
| releasedAt(X0,X1) ),
inference(superposition,[status(thm)],[c_119,c_61]) ).
cnf(c_12556,plain,
( ~ happens(tapOn,X0)
| holdsAt(filling,plus(X0,n1)) ),
inference(superposition,[status(thm)],[c_78,c_62]) ).
cnf(c_12607,plain,
( ~ holdsAt(sP0_iProver_def,X0)
| initiates(overflow,sP0_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_11956,c_75]) ).
cnf(c_12620,plain,
( ~ holdsAt(sP0_iProver_def,X0)
| initiates(tapOff,sP0_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_11970,c_76]) ).
cnf(c_12651,plain,
( ~ happens(overflow,X0)
| ~ holdsAt(sP0_iProver_def,X0)
| holdsAt(sP0_iProver_def,plus(X0,n1)) ),
inference(superposition,[status(thm)],[c_12607,c_62]) ).
cnf(c_12660,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_12676,plain,
( ~ holdsAt(waterLevel(X0),X1)
| ~ holdsAt(sP0_iProver_def,X1)
| X0 = n3 ),
inference(superposition,[status(thm)],[c_9978,c_101]) ).
cnf(c_12689,plain,
( ~ holdsAt(waterLevel(n1),n1)
| ~ holdsAt(sP0_iProver_def,n1)
| n1 = n3 ),
inference(instantiation,[status(thm)],[c_12676]) ).
cnf(c_12700,plain,
( ~ terminates(X0,X1,n1)
| ~ happens(X0,n1)
| ~ holdsAt(X1,n2) ),
inference(superposition,[status(thm)],[c_113,c_63]) ).
cnf(c_12701,plain,
( ~ holdsAt(X0,plus(n1,X1))
| ~ terminates(X2,X0,X1)
| ~ happens(X2,X1) ),
inference(superposition,[status(thm)],[c_119,c_63]) ).
cnf(c_12738,plain,
( ~ terminates(X0,X1,n1)
| ~ happens(X0,n1)
| ~ releasedAt(X1,n2) ),
inference(superposition,[status(thm)],[c_113,c_65]) ).
cnf(c_12765,plain,
( ~ initiates(X0,X1,n1)
| ~ happens(X0,n1)
| ~ releasedAt(X1,n2) ),
inference(superposition,[status(thm)],[c_113,c_66]) ).
cnf(c_12766,plain,
( ~ releasedAt(X0,plus(n1,X1))
| ~ initiates(X2,X0,X1)
| ~ happens(X2,X1) ),
inference(superposition,[status(thm)],[c_119,c_66]) ).
cnf(c_12801,plain,
( ~ happens(tapOn,X0)
| releasedAt(sP0_iProver_def,plus(n1,X0)) ),
inference(superposition,[status(thm)],[c_119,c_12104]) ).
cnf(c_12846,plain,
( X0 != X1
| X2 != n3
| ~ less(X1,n3)
| less(X0,X2) ),
inference(instantiation,[status(thm)],[c_9985]) ).
cnf(c_12847,plain,
( n1 != n1
| n1 != n3
| ~ less(n1,n3)
| less(n1,n1) ),
inference(instantiation,[status(thm)],[c_12846]) ).
cnf(c_12869,plain,
( ~ happens(tapOn,X0)
| holdsAt(filling,plus(n1,X0)) ),
inference(superposition,[status(thm)],[c_119,c_12556]) ).
cnf(c_12920,plain,
( ~ happens(tapOn,n0)
| releasedAt(sP0_iProver_def,n1) ),
inference(superposition,[status(thm)],[c_1018,c_12801]) ).
cnf(c_12924,plain,
releasedAt(sP0_iProver_def,n1),
inference(forward_subsumption_resolution,[status(thm)],[c_12920,c_93]) ).
cnf(c_12981,plain,
( ~ holdsAt(X0,n1)
| happens(sK4(X0,n1),n1)
| holdsAt(X0,plus(n1,n1))
| releasedAt(X0,n2) ),
inference(superposition,[status(thm)],[c_113,c_55]) ).
cnf(c_12982,plain,
( ~ holdsAt(X0,X1)
| happens(sK4(X0,X1),X1)
| holdsAt(X0,plus(X1,n1))
| releasedAt(X0,plus(n1,X1)) ),
inference(superposition,[status(thm)],[c_119,c_55]) ).
cnf(c_12993,plain,
( ~ holdsAt(X0,n1)
| happens(sK4(X0,n1),n1)
| holdsAt(X0,n2)
| releasedAt(X0,n2) ),
inference(light_normalisation,[status(thm)],[c_12981,c_113]) ).
cnf(c_13176,plain,
( ~ happens(tapOn,n0)
| holdsAt(filling,n1) ),
inference(superposition,[status(thm)],[c_1018,c_12869]) ).
cnf(c_13180,plain,
holdsAt(filling,n1),
inference(forward_subsumption_resolution,[status(thm)],[c_13176,c_93]) ).
cnf(c_13191,plain,
( ~ holdsAt(sP0_iProver_def,n1)
| happens(overflow,n1) ),
inference(superposition,[status(thm)],[c_13180,c_12320]) ).
cnf(c_13213,plain,
( ~ holdsAt(waterLevel(X0),X1)
| ~ happens(overflow,X1)
| holdsAt(waterLevel(X0),plus(X1,n1)) ),
inference(superposition,[status(thm)],[c_11954,c_62]) ).
cnf(c_13266,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_13425,plain,
( X0 = n0
| X0 = n1
| less(X0,n0)
| less(n1,X0) ),
inference(superposition,[status(thm)],[c_12039,c_122]) ).
cnf(c_13430,plain,
( X0 = n0
| X0 = n1
| less(n1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13425,c_123]) ).
cnf(c_13440,plain,
( X0 = n1
| X0 = n2
| less(X0,n1)
| less(n2,X0) ),
inference(superposition,[status(thm)],[c_12040,c_122]) ).
cnf(c_13576,plain,
( ~ happens(tapOn,n2)
| releasedAt(waterLevel(X0),n3) ),
inference(superposition,[status(thm)],[c_114,c_12106]) ).
cnf(c_13580,plain,
( ~ happens(tapOn,n0)
| releasedAt(waterLevel(X0),n1) ),
inference(superposition,[status(thm)],[c_1018,c_12106]) ).
cnf(c_13584,plain,
releasedAt(waterLevel(X0),n1),
inference(forward_subsumption_resolution,[status(thm)],[c_13580,c_93]) ).
cnf(c_14129,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_17160,plain,
( ~ stoppedIn(X0,X1,n1)
| sK3(X0,X1,n1) = n0
| less(sK3(X0,X1,n1),n0) ),
inference(superposition,[status(thm)],[c_12125,c_122]) ).
cnf(c_17164,plain,
( ~ stoppedIn(X0,X1,n1)
| sK3(X0,X1,n1) = n0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_17160,c_123]) ).
cnf(c_17187,plain,
( ~ stoppedIn(X0,X1,n3)
| sK3(X0,X1,n3) = n2
| less(sK3(X0,X1,n3),n2) ),
inference(superposition,[status(thm)],[c_12127,c_122]) ).
cnf(c_17333,plain,
( ~ less(X0,n1)
| X0 = n0
| X0 = n1 ),
inference(superposition,[status(thm)],[c_13430,c_144]) ).
cnf(c_20111,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_14129]) ).
cnf(c_20129,plain,
( ~ holdsAt(waterLevel(X0),n0)
| ~ less(n0,n3)
| ~ happens(tapOn,n0)
| holdsAt(waterLevel(plus(X0,n3)),n3)
| stoppedIn(n0,filling,plus(n0,n3)) ),
inference(superposition,[status(thm)],[c_112,c_14129]) ).
cnf(c_20183,plain,
( ~ holdsAt(waterLevel(X0),n0)
| ~ less(n0,n3)
| ~ happens(tapOn,n0)
| holdsAt(waterLevel(plus(X0,n3)),n3)
| stoppedIn(n0,filling,n3) ),
inference(light_normalisation,[status(thm)],[c_20129,c_112]) ).
cnf(c_20184,plain,
( ~ holdsAt(waterLevel(X0),n0)
| holdsAt(waterLevel(plus(X0,n3)),n3)
| stoppedIn(n0,filling,n3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20183,c_93,c_11722]) ).
cnf(c_24490,plain,
( ~ releasedAt(X0,n1)
| n0 = n1
| releasedAt(X0,n2)
| holdsAt(sP0_iProver_def,n1) ),
inference(superposition,[status(thm)],[c_12473,c_12366]) ).
cnf(c_24582,plain,
( ~ releasedAt(X0,n2)
| n0 = n1
| releasedAt(X0,n1)
| holdsAt(sP0_iProver_def,n1) ),
inference(superposition,[status(thm)],[c_12527,c_12366]) ).
cnf(c_24722,plain,
( X0 = n0
| ~ less(X0,n1) ),
inference(global_subsumption_just,[status(thm)],[c_17333,c_2773]) ).
cnf(c_24723,plain,
( ~ less(X0,n1)
| X0 = n0 ),
inference(renaming,[status(thm)],[c_24722]) ).
cnf(c_25755,plain,
( ~ happens(overflow,n1)
| ~ holdsAt(sP0_iProver_def,n1)
| holdsAt(sP0_iProver_def,n2) ),
inference(superposition,[status(thm)],[c_113,c_12651]) ).
cnf(c_25756,plain,
( ~ happens(overflow,X0)
| ~ holdsAt(sP0_iProver_def,X0)
| holdsAt(sP0_iProver_def,plus(n1,X0)) ),
inference(superposition,[status(thm)],[c_119,c_12651]) ).
cnf(c_25799,plain,
( ~ holdsAt(sP0_iProver_def,n1)
| holdsAt(sP0_iProver_def,n2) ),
inference(global_subsumption_just,[status(thm)],[c_25755,c_13191,c_25755]) ).
cnf(c_25812,plain,
( ~ sP0(X0,X1,X2)
| ~ holdsAt(sP0_iProver_def,X2)
| sK9(X0,X1,X2) = n3 ),
inference(superposition,[status(thm)],[c_74,c_12676]) ).
cnf(c_25911,plain,
( ~ happens(overflow,n1)
| ~ holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_83,c_12700]) ).
cnf(c_25941,plain,
( ~ happens(overflow,n1)
| ~ releasedAt(filling,n2) ),
inference(superposition,[status(thm)],[c_83,c_12738]) ).
cnf(c_25966,plain,
( ~ holdsAt(waterLevel(X0),n1)
| ~ releasedAt(waterLevel(X0),n2)
| ~ happens(overflow,n1) ),
inference(superposition,[status(thm)],[c_11954,c_12765]) ).
cnf(c_25968,plain,
( ~ happens(overflow,n1)
| ~ holdsAt(sP0_iProver_def,n1)
| ~ releasedAt(sP0_iProver_def,n2) ),
inference(superposition,[status(thm)],[c_12607,c_12765]) ).
cnf(c_26020,plain,
( ~ holdsAt(sP0_iProver_def,n1)
| ~ releasedAt(sP0_iProver_def,n2) ),
inference(global_subsumption_just,[status(thm)],[c_25968,c_13191,c_25968]) ).
cnf(c_26229,plain,
( ~ happens(overflow,n2)
| ~ holdsAt(sP0_iProver_def,n2)
| holdsAt(sP0_iProver_def,n3) ),
inference(superposition,[status(thm)],[c_114,c_25756]) ).
cnf(c_26230,plain,
( ~ happens(overflow,n3)
| ~ holdsAt(sP0_iProver_def,n3)
| holdsAt(sP0_iProver_def,n4) ),
inference(superposition,[status(thm)],[c_115,c_25756]) ).
cnf(c_26238,plain,
( ~ happens(overflow,n3)
| ~ holdsAt(sP0_iProver_def,n3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26230,c_9979]) ).
cnf(c_26363,plain,
( ~ releasedAt(X0,n2)
| happens(sK6(X0,n2),n2)
| releasedAt(X0,n3) ),
inference(superposition,[status(thm)],[c_114,c_12474]) ).
cnf(c_26364,plain,
( ~ releasedAt(X0,n3)
| happens(sK6(X0,n3),n3)
| releasedAt(X0,n4) ),
inference(superposition,[status(thm)],[c_115,c_12474]) ).
cnf(c_26446,plain,
( ~ releasedAt(X0,n2)
| n0 = n2
| releasedAt(X0,n3)
| holdsAt(sP0_iProver_def,n2) ),
inference(superposition,[status(thm)],[c_26363,c_12366]) ).
cnf(c_26448,plain,
( ~ releasedAt(X0,n2)
| sK6(X0,n2) = overflow
| n0 = n2
| releasedAt(X0,n3) ),
inference(superposition,[status(thm)],[c_26363,c_94]) ).
cnf(c_26488,plain,
( ~ releasedAt(X0,n3)
| n0 = n3
| releasedAt(X0,n4)
| holdsAt(sP0_iProver_def,n3) ),
inference(superposition,[status(thm)],[c_26364,c_12366]) ).
cnf(c_26490,plain,
( ~ releasedAt(X0,n3)
| sK6(X0,n3) = overflow
| n0 = n3
| releasedAt(X0,n4) ),
inference(superposition,[status(thm)],[c_26364,c_94]) ).
cnf(c_26492,plain,
( ~ releasedAt(X0,n3)
| n0 = n3
| releasedAt(X0,n4)
| holdsAt(filling,n3) ),
inference(superposition,[status(thm)],[c_26364,c_96]) ).
cnf(c_26650,plain,
( ~ releasedAt(X0,n3)
| happens(sK7(X0,n2),n2)
| releasedAt(X0,n2) ),
inference(superposition,[status(thm)],[c_114,c_12528]) ).
cnf(c_26651,plain,
( ~ releasedAt(X0,n4)
| happens(sK7(X0,n3),n3)
| releasedAt(X0,n3) ),
inference(superposition,[status(thm)],[c_115,c_12528]) ).
cnf(c_26681,plain,
( ~ releasedAt(X0,n3)
| n0 = n2
| releasedAt(X0,n2)
| holdsAt(sP0_iProver_def,n2) ),
inference(superposition,[status(thm)],[c_26650,c_12366]) ).
cnf(c_26685,plain,
( ~ releasedAt(X0,n3)
| n0 = n2
| releasedAt(X0,n2)
| holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_26650,c_96]) ).
cnf(c_26723,plain,
( ~ releasedAt(X0,n4)
| n0 = n3
| releasedAt(X0,n3)
| holdsAt(sP0_iProver_def,n3) ),
inference(superposition,[status(thm)],[c_26651,c_12366]) ).
cnf(c_26725,plain,
( ~ releasedAt(X0,n4)
| sK7(X0,n3) = overflow
| n0 = n3
| releasedAt(X0,n3) ),
inference(superposition,[status(thm)],[c_26651,c_94]) ).
cnf(c_26727,plain,
( ~ releasedAt(X0,n4)
| n0 = n3
| releasedAt(X0,n3)
| holdsAt(filling,n3) ),
inference(superposition,[status(thm)],[c_26651,c_96]) ).
cnf(c_26947,plain,
( X0 = n0
| X0 = n1
| X0 = n2
| less(n2,X0) ),
inference(superposition,[status(thm)],[c_13440,c_24723]) ).
cnf(c_28533,plain,
( ~ releasedAt(X0,n1)
| releasedAt(X0,n2)
| holdsAt(sP0_iProver_def,n1) ),
inference(global_subsumption_just,[status(thm)],[c_24490,c_152,c_153,c_177,c_2950,c_24490]) ).
cnf(c_28542,plain,
( holdsAt(sP0_iProver_def,n1)
| releasedAt(sP0_iProver_def,n2) ),
inference(superposition,[status(thm)],[c_12924,c_28533]) ).
cnf(c_28543,plain,
( releasedAt(waterLevel(X0),n2)
| holdsAt(sP0_iProver_def,n1) ),
inference(superposition,[status(thm)],[c_13584,c_28533]) ).
cnf(c_28559,plain,
( ~ releasedAt(X0,n2)
| releasedAt(X0,n1)
| holdsAt(sP0_iProver_def,n1) ),
inference(global_subsumption_just,[status(thm)],[c_24582,c_152,c_153,c_177,c_2950,c_24582]) ).
cnf(c_28642,plain,
( ~ releasedAt(X0,n2)
| releasedAt(X0,n3)
| holdsAt(sP0_iProver_def,n2) ),
inference(global_subsumption_just,[status(thm)],[c_26446,c_152,c_153,c_177,c_2802,c_2968,c_26446]) ).
cnf(c_28651,plain,
( releasedAt(waterLevel(X0),n3)
| holdsAt(sP0_iProver_def,n1)
| holdsAt(sP0_iProver_def,n2) ),
inference(superposition,[status(thm)],[c_28543,c_28642]) ).
cnf(c_28653,plain,
( holdsAt(sP0_iProver_def,n1)
| holdsAt(sP0_iProver_def,n2)
| releasedAt(sP0_iProver_def,n3) ),
inference(superposition,[status(thm)],[c_28542,c_28642]) ).
cnf(c_28700,plain,
( ~ releasedAt(X0,n3)
| releasedAt(X0,n4)
| holdsAt(sP0_iProver_def,n3) ),
inference(global_subsumption_just,[status(thm)],[c_26488,c_152,c_153,c_177,c_2802,c_2822,c_2986,c_26488]) ).
cnf(c_28740,plain,
( holdsAt(sP0_iProver_def,n2)
| releasedAt(sP0_iProver_def,n3) ),
inference(global_subsumption_just,[status(thm)],[c_28653,c_25799,c_28653]) ).
cnf(c_28746,plain,
( holdsAt(sP0_iProver_def,n3)
| holdsAt(sP0_iProver_def,n2)
| releasedAt(sP0_iProver_def,n4) ),
inference(superposition,[status(thm)],[c_28740,c_28700]) ).
cnf(c_28784,plain,
( releasedAt(waterLevel(X0),n3)
| holdsAt(sP0_iProver_def,n2) ),
inference(global_subsumption_just,[status(thm)],[c_28651,c_25799,c_28651]) ).
cnf(c_28792,plain,
( releasedAt(waterLevel(X0),n4)
| holdsAt(sP0_iProver_def,n3)
| holdsAt(sP0_iProver_def,n2) ),
inference(superposition,[status(thm)],[c_28784,c_28700]) ).
cnf(c_28951,plain,
( ~ releasedAt(X0,n3)
| releasedAt(X0,n4)
| holdsAt(filling,n3) ),
inference(global_subsumption_just,[status(thm)],[c_26492,c_152,c_153,c_177,c_2802,c_2822,c_2986,c_26492]) ).
cnf(c_28963,plain,
( releasedAt(waterLevel(X0),n4)
| holdsAt(filling,n3)
| holdsAt(sP0_iProver_def,n2) ),
inference(superposition,[status(thm)],[c_28784,c_28951]) ).
cnf(c_29003,plain,
( ~ releasedAt(X0,n3)
| releasedAt(X0,n2)
| holdsAt(sP0_iProver_def,n2) ),
inference(global_subsumption_just,[status(thm)],[c_26681,c_152,c_153,c_177,c_2802,c_2968,c_26681]) ).
cnf(c_29026,plain,
( ~ releasedAt(X0,n3)
| releasedAt(X0,n2)
| holdsAt(filling,n2) ),
inference(global_subsumption_just,[status(thm)],[c_26685,c_152,c_153,c_177,c_2802,c_2968,c_26685]) ).
cnf(c_29039,plain,
( ~ happens(tapOn,n2)
| releasedAt(waterLevel(X0),n2)
| holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_13576,c_29026]) ).
cnf(c_29051,plain,
( ~ releasedAt(X0,n4)
| releasedAt(X0,n3)
| holdsAt(sP0_iProver_def,n3) ),
inference(global_subsumption_just,[status(thm)],[c_26723,c_152,c_153,c_177,c_2802,c_2822,c_2986,c_26723]) ).
cnf(c_29147,plain,
( releasedAt(waterLevel(X0),n2)
| ~ happens(tapOn,n2) ),
inference(global_subsumption_just,[status(thm)],[c_29039,c_13191,c_25911,c_28543,c_29039]) ).
cnf(c_29148,plain,
( ~ happens(tapOn,n2)
| releasedAt(waterLevel(X0),n2) ),
inference(renaming,[status(thm)],[c_29147]) ).
cnf(c_29198,plain,
( ~ releasedAt(X0,n4)
| releasedAt(X0,n3)
| holdsAt(filling,n3) ),
inference(global_subsumption_just,[status(thm)],[c_26727,c_152,c_153,c_177,c_2802,c_2822,c_2986,c_26727]) ).
cnf(c_30173,plain,
( ~ terminates(X0,X1,n2)
| ~ happens(X0,n2)
| ~ holdsAt(X1,n3) ),
inference(superposition,[status(thm)],[c_114,c_12701]) ).
cnf(c_30174,plain,
( ~ terminates(X0,X1,n3)
| ~ happens(X0,n3)
| ~ holdsAt(X1,n4) ),
inference(superposition,[status(thm)],[c_115,c_12701]) ).
cnf(c_30177,plain,
( ~ terminates(X0,X1,n0)
| ~ happens(X0,n0)
| ~ holdsAt(X1,n1) ),
inference(superposition,[status(thm)],[c_1018,c_12701]) ).
cnf(c_30239,plain,
( ~ happens(overflow,n2)
| ~ holdsAt(filling,n3) ),
inference(superposition,[status(thm)],[c_83,c_30173]) ).
cnf(c_30240,plain,
( ~ happens(tapOff,n2)
| ~ holdsAt(filling,n3) ),
inference(superposition,[status(thm)],[c_84,c_30173]) ).
cnf(c_30292,plain,
( ~ happens(overflow,n3)
| ~ holdsAt(filling,n4) ),
inference(superposition,[status(thm)],[c_83,c_30174]) ).
cnf(c_30357,plain,
( ~ happens(overflow,n0)
| ~ holdsAt(filling,n1) ),
inference(superposition,[status(thm)],[c_83,c_30177]) ).
cnf(c_30359,plain,
~ happens(overflow,n0),
inference(forward_subsumption_resolution,[status(thm)],[c_30357,c_13180]) ).
cnf(c_30572,plain,
( ~ initiates(X0,X1,n2)
| ~ happens(X0,n2)
| ~ releasedAt(X1,n3) ),
inference(superposition,[status(thm)],[c_114,c_12766]) ).
cnf(c_30573,plain,
( ~ initiates(X0,X1,n3)
| ~ happens(X0,n3)
| ~ releasedAt(X1,n4) ),
inference(superposition,[status(thm)],[c_115,c_12766]) ).
cnf(c_30576,plain,
( ~ initiates(X0,X1,n0)
| ~ happens(X0,n0)
| ~ releasedAt(X1,n1) ),
inference(superposition,[status(thm)],[c_1018,c_12766]) ).
cnf(c_30636,plain,
( ~ holdsAt(waterLevel(X0),n2)
| ~ releasedAt(waterLevel(X0),n3)
| ~ happens(overflow,n2) ),
inference(superposition,[status(thm)],[c_11954,c_30572]) ).
cnf(c_30638,plain,
( ~ happens(overflow,n2)
| ~ holdsAt(sP0_iProver_def,n2)
| ~ releasedAt(sP0_iProver_def,n3) ),
inference(superposition,[status(thm)],[c_12607,c_30572]) ).
cnf(c_30639,plain,
( ~ happens(tapOff,n2)
| ~ holdsAt(sP0_iProver_def,n2)
| ~ releasedAt(sP0_iProver_def,n3) ),
inference(superposition,[status(thm)],[c_12620,c_30572]) ).
cnf(c_30751,plain,
( ~ holdsAt(waterLevel(X0),n3)
| ~ releasedAt(waterLevel(X0),n4)
| ~ happens(overflow,n3) ),
inference(superposition,[status(thm)],[c_11954,c_30573]) ).
cnf(c_30789,plain,
( ~ happens(tapOn,n0)
| ~ releasedAt(filling,n1) ),
inference(superposition,[status(thm)],[c_78,c_30576]) ).
cnf(c_30794,plain,
~ releasedAt(filling,n1),
inference(forward_subsumption_resolution,[status(thm)],[c_30789,c_93]) ).
cnf(c_30873,plain,
( ~ holdsAt(X0,n1)
| n0 = n1
| holdsAt(X0,n2)
| releasedAt(X0,n2)
| holdsAt(sP0_iProver_def,n1) ),
inference(superposition,[status(thm)],[c_12993,c_12366]) ).
cnf(c_31180,plain,
( ~ holdsAt(waterLevel(X0),n1)
| ~ happens(overflow,n1)
| ~ happens(tapOn,n2) ),
inference(superposition,[status(thm)],[c_29148,c_25966]) ).
cnf(c_31182,plain,
( ~ holdsAt(waterLevel(X0),n1)
| ~ happens(overflow,n1)
| holdsAt(sP0_iProver_def,n1) ),
inference(superposition,[status(thm)],[c_28543,c_25966]) ).
cnf(c_31802,plain,
( ~ holdsAt(waterLevel(X0),X1)
| ~ happens(overflow,X1)
| holdsAt(waterLevel(X0),plus(n1,X1)) ),
inference(superposition,[status(thm)],[c_119,c_13213]) ).
cnf(c_32410,plain,
( ~ holdsAt(waterLevel(n0),n0)
| stoppedIn(n0,filling,n3)
| holdsAt(waterLevel(n3),n3) ),
inference(superposition,[status(thm)],[c_112,c_20184]) ).
cnf(c_32423,plain,
( ~ holdsAt(waterLevel(n0),n0)
| stoppedIn(n0,filling,n3)
| holdsAt(sP0_iProver_def,n3) ),
inference(light_normalisation,[status(thm)],[c_32410,c_9978]) ).
cnf(c_32424,plain,
( stoppedIn(n0,filling,n3)
| holdsAt(sP0_iProver_def,n3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32423,c_145]) ).
cnf(c_32508,plain,
( sK2(n0,filling,n3) = overflow
| sK2(n0,filling,n3) = tapOff
| holdsAt(sP0_iProver_def,n3) ),
inference(superposition,[status(thm)],[c_32424,c_12660]) ).
cnf(c_32510,plain,
( sK2(n0,filling,n3) = overflow
| sK2(n0,filling,n3) = tapOn
| holdsAt(sP0_iProver_def,n3) ),
inference(superposition,[status(thm)],[c_32424,c_12443]) ).
cnf(c_32642,plain,
( ~ holdsAt(waterLevel(X0),n2)
| ~ happens(overflow,n2)
| holdsAt(sP0_iProver_def,n2) ),
inference(superposition,[status(thm)],[c_28784,c_30636]) ).
cnf(c_33285,plain,
( ~ holdsAt(waterLevel(X0),n3)
| ~ happens(overflow,n3)
| holdsAt(filling,n3)
| holdsAt(sP0_iProver_def,n2) ),
inference(superposition,[status(thm)],[c_28963,c_30751]) ).
cnf(c_33287,plain,
( ~ holdsAt(waterLevel(X0),n3)
| ~ happens(overflow,n3)
| holdsAt(sP0_iProver_def,n3)
| holdsAt(sP0_iProver_def,n2) ),
inference(superposition,[status(thm)],[c_28792,c_30751]) ).
cnf(c_33948,plain,
( ~ less(X0,n2)
| X0 = n0
| X0 = n1
| X0 = n2 ),
inference(superposition,[status(thm)],[c_26947,c_144]) ).
cnf(c_35139,plain,
( ~ holdsAt(waterLevel(X0),n2)
| ~ happens(overflow,n2)
| holdsAt(waterLevel(X0),n3) ),
inference(superposition,[status(thm)],[c_114,c_31802]) ).
cnf(c_35140,plain,
( ~ holdsAt(waterLevel(X0),n3)
| ~ happens(overflow,n3)
| holdsAt(waterLevel(X0),n4) ),
inference(superposition,[status(thm)],[c_115,c_31802]) ).
cnf(c_35200,plain,
( ~ sP1(X0,X1,n2)
| ~ happens(overflow,n2)
| holdsAt(waterLevel(sK8(X0,X1,n2)),n3) ),
inference(superposition,[status(thm)],[c_70,c_35139]) ).
cnf(c_35286,plain,
( ~ sP0(X0,X1,n3)
| ~ happens(overflow,n3)
| holdsAt(waterLevel(sK9(X0,X1,n3)),n4) ),
inference(superposition,[status(thm)],[c_74,c_35140]) ).
cnf(c_36071,plain,
( ~ happens(overflow,n3)
| ~ holdsAt(waterLevel(X0),n3)
| holdsAt(sP0_iProver_def,n2) ),
inference(global_subsumption_just,[status(thm)],[c_33285,c_26238,c_33287]) ).
cnf(c_36072,plain,
( ~ holdsAt(waterLevel(X0),n3)
| ~ happens(overflow,n3)
| holdsAt(sP0_iProver_def,n2) ),
inference(renaming,[status(thm)],[c_36071]) ).
cnf(c_36082,plain,
( ~ holdsAt(waterLevel(X0),n0)
| ~ happens(overflow,n3)
| stoppedIn(n0,filling,n3)
| holdsAt(sP0_iProver_def,n2) ),
inference(superposition,[status(thm)],[c_20184,c_36072]) ).
cnf(c_36933,plain,
( ~ holdsAt(sP0_iProver_def,X0)
| sK9(sP0_iProver_def,tapOff,X0) = n3 ),
inference(superposition,[status(thm)],[c_11970,c_25812]) ).
cnf(c_36972,plain,
( ~ happens(overflow,X0)
| ~ holdsAt(sP0_iProver_def,X0)
| sK9(sP0_iProver_def,tapOff,plus(n1,X0)) = n3 ),
inference(superposition,[status(thm)],[c_25756,c_36933]) ).
cnf(c_38010,plain,
( X0 = n1
| X0 = n0
| ~ less(X0,n2) ),
inference(global_subsumption_just,[status(thm)],[c_33948,c_2773,c_2789]) ).
cnf(c_38011,plain,
( ~ less(X0,n2)
| X0 = n0
| X0 = n1 ),
inference(renaming,[status(thm)],[c_38010]) ).
cnf(c_38073,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_17187,c_38011]) ).
cnf(c_38733,plain,
( sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1
| sK3(n0,filling,n3) = n2
| holdsAt(sP0_iProver_def,n3) ),
inference(superposition,[status(thm)],[c_32424,c_38073]) ).
cnf(c_39035,plain,
( stoppedIn(n0,filling,n3)
| ~ happens(overflow,n3) ),
inference(global_subsumption_just,[status(thm)],[c_36082,c_26238,c_32424]) ).
cnf(c_39036,plain,
( ~ happens(overflow,n3)
| stoppedIn(n0,filling,n3) ),
inference(renaming,[status(thm)],[c_39035]) ).
cnf(c_39041,plain,
( ~ happens(overflow,n3)
| sK2(n0,filling,n3) = overflow
| sK2(n0,filling,n3) = tapOff ),
inference(superposition,[status(thm)],[c_39036,c_12660]) ).
cnf(c_39043,plain,
( ~ happens(overflow,n3)
| sK2(n0,filling,n3) = overflow
| sK2(n0,filling,n3) = tapOn ),
inference(superposition,[status(thm)],[c_39036,c_12443]) ).
cnf(c_39045,plain,
( ~ happens(overflow,n3)
| sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1
| sK3(n0,filling,n3) = n2 ),
inference(superposition,[status(thm)],[c_39036,c_38073]) ).
cnf(c_43538,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_20111]) ).
cnf(c_43657,plain,
( ~ holdsAt(waterLevel(X0),n0)
| holdsAt(waterLevel(plus(X0,n1)),plus(n0,n1))
| stoppedIn(n0,filling,n1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43538,c_93,c_11672]) ).
cnf(c_50990,plain,
( sK6(X0,n2) = overflow
| ~ releasedAt(X0,n2)
| releasedAt(X0,n3) ),
inference(global_subsumption_just,[status(thm)],[c_26448,c_152,c_153,c_177,c_2802,c_2968,c_26448]) ).
cnf(c_50991,plain,
( ~ releasedAt(X0,n2)
| sK6(X0,n2) = overflow
| releasedAt(X0,n3) ),
inference(renaming,[status(thm)],[c_50990]) ).
cnf(c_51004,plain,
( sK6(waterLevel(X0),n2) = overflow
| releasedAt(waterLevel(X0),n3)
| holdsAt(sP0_iProver_def,n1) ),
inference(superposition,[status(thm)],[c_28543,c_50991]) ).
cnf(c_51009,plain,
( sK6(sP0_iProver_def,n2) = overflow
| holdsAt(sP0_iProver_def,n1)
| releasedAt(sP0_iProver_def,n3) ),
inference(superposition,[status(thm)],[c_28542,c_50991]) ).
cnf(c_51238,plain,
( sK6(sP0_iProver_def,n2) = overflow
| holdsAt(sP0_iProver_def,n1)
| holdsAt(sP0_iProver_def,n3)
| releasedAt(sP0_iProver_def,n4) ),
inference(superposition,[status(thm)],[c_51009,c_28700]) ).
cnf(c_51281,plain,
( sK6(waterLevel(X0),n2) = overflow
| releasedAt(waterLevel(X0),n4)
| holdsAt(sP0_iProver_def,n1)
| holdsAt(sP0_iProver_def,n3) ),
inference(superposition,[status(thm)],[c_51004,c_28700]) ).
cnf(c_51509,plain,
( sK6(X0,n3) = overflow
| ~ releasedAt(X0,n3)
| releasedAt(X0,n4) ),
inference(global_subsumption_just,[status(thm)],[c_26490,c_152,c_153,c_177,c_2802,c_2822,c_2986,c_26490]) ).
cnf(c_51510,plain,
( ~ releasedAt(X0,n3)
| sK6(X0,n3) = overflow
| releasedAt(X0,n4) ),
inference(renaming,[status(thm)],[c_51509]) ).
cnf(c_51530,plain,
( sK6(waterLevel(X0),n3) = overflow
| releasedAt(waterLevel(X0),n4)
| holdsAt(sP0_iProver_def,n2) ),
inference(superposition,[status(thm)],[c_28784,c_51510]) ).
cnf(c_51719,plain,
( sK7(X0,n3) = overflow
| ~ releasedAt(X0,n4)
| releasedAt(X0,n3) ),
inference(global_subsumption_just,[status(thm)],[c_26725,c_152,c_153,c_177,c_2802,c_2822,c_2986,c_26725]) ).
cnf(c_51720,plain,
( ~ releasedAt(X0,n4)
| sK7(X0,n3) = overflow
| releasedAt(X0,n3) ),
inference(renaming,[status(thm)],[c_51719]) ).
cnf(c_51763,plain,
( ~ holdsAt(X0,n1)
| holdsAt(X0,n2)
| releasedAt(X0,n2)
| holdsAt(sP0_iProver_def,n1) ),
inference(global_subsumption_just,[status(thm)],[c_30873,c_152,c_153,c_177,c_2950,c_30873]) ).
cnf(c_51776,plain,
( holdsAt(filling,n2)
| holdsAt(sP0_iProver_def,n1)
| releasedAt(filling,n2) ),
inference(superposition,[status(thm)],[c_13180,c_51763]) ).
cnf(c_51812,plain,
( holdsAt(filling,n2)
| holdsAt(sP0_iProver_def,n1)
| releasedAt(filling,n1) ),
inference(superposition,[status(thm)],[c_51776,c_28559]) ).
cnf(c_51813,plain,
( holdsAt(filling,n2)
| holdsAt(sP0_iProver_def,n1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51812,c_30794]) ).
cnf(c_51820,plain,
( ~ holdsAt(sP0_iProver_def,n2)
| happens(overflow,n2)
| holdsAt(sP0_iProver_def,n1) ),
inference(superposition,[status(thm)],[c_51813,c_12320]) ).
cnf(c_51848,plain,
( ~ holdsAt(waterLevel(X0),n3)
| ~ happens(overflow,n3)
| sK6(waterLevel(X0),n3) = overflow
| holdsAt(sP0_iProver_def,n2) ),
inference(superposition,[status(thm)],[c_51530,c_30751]) ).
cnf(c_51893,plain,
( holdsAt(sP0_iProver_def,n1)
| holdsAt(sP0_iProver_def,n3)
| releasedAt(sP0_iProver_def,n4) ),
inference(global_subsumption_just,[status(thm)],[c_51238,c_26229,c_28746,c_51820]) ).
cnf(c_51904,plain,
( holdsAt(sP0_iProver_def,n1)
| holdsAt(sP0_iProver_def,n3)
| releasedAt(sP0_iProver_def,n3) ),
inference(superposition,[status(thm)],[c_51893,c_29051]) ).
cnf(c_51914,plain,
( ~ happens(tapOff,n2)
| ~ holdsAt(sP0_iProver_def,n2)
| holdsAt(sP0_iProver_def,n1)
| holdsAt(sP0_iProver_def,n3) ),
inference(superposition,[status(thm)],[c_51904,c_30639]) ).
cnf(c_51939,plain,
( ~ holdsAt(sP0_iProver_def,n2)
| holdsAt(sP0_iProver_def,n1)
| holdsAt(sP0_iProver_def,n3) ),
inference(global_subsumption_just,[status(thm)],[c_51914,c_26229,c_51820]) ).
cnf(c_54060,plain,
( ~ holdsAt(waterLevel(X0),n0)
| holdsAt(waterLevel(plus(X0,n1)),n1)
| stoppedIn(n0,filling,n1) ),
inference(demodulation,[status(thm)],[c_43657,c_119,c_1018]) ).
cnf(c_54068,plain,
( ~ holdsAt(waterLevel(X0),n0)
| holdsAt(waterLevel(plus(n1,X0)),n1)
| stoppedIn(n0,filling,n1) ),
inference(superposition,[status(thm)],[c_119,c_54060]) ).
cnf(c_54076,plain,
( ~ holdsAt(waterLevel(X0),n0)
| ~ holdsAt(sP0_iProver_def,n1)
| plus(X0,n1) = n3
| stoppedIn(n0,filling,n1) ),
inference(superposition,[status(thm)],[c_54060,c_12676]) ).
cnf(c_54090,plain,
( ~ holdsAt(waterLevel(X0),n0)
| ~ happens(overflow,n1)
| ~ happens(tapOn,n2)
| stoppedIn(n0,filling,n1) ),
inference(superposition,[status(thm)],[c_54060,c_31180]) ).
cnf(c_54386,plain,
( ~ holdsAt(waterLevel(n0),n0)
| stoppedIn(n0,filling,n1)
| holdsAt(waterLevel(n1),n1) ),
inference(superposition,[status(thm)],[c_1018,c_54068]) ).
cnf(c_54410,plain,
( stoppedIn(n0,filling,n1)
| holdsAt(waterLevel(n1),n1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54386,c_145]) ).
cnf(c_54590,plain,
( sK3(n0,filling,n1) = n0
| holdsAt(waterLevel(n1),n1) ),
inference(superposition,[status(thm)],[c_54410,c_17164]) ).
cnf(c_54620,plain,
( waterLevel(sK9(waterLevel(n1),tapOff,n1)) = waterLevel(n1)
| sK3(n0,filling,n1) = n0 ),
inference(superposition,[status(thm)],[c_54590,c_12394]) ).
cnf(c_54622,plain,
( ~ holdsAt(sP0_iProver_def,n1)
| sK3(n0,filling,n1) = n0
| n1 = n3 ),
inference(superposition,[status(thm)],[c_54590,c_12676]) ).
cnf(c_54637,plain,
( ~ happens(overflow,n1)
| sK3(n0,filling,n1) = n0
| holdsAt(sP0_iProver_def,n1) ),
inference(superposition,[status(thm)],[c_54590,c_31182]) ).
cnf(c_54772,plain,
( ~ happens(overflow,n1)
| holdsAt(sP0_iProver_def,n1) ),
inference(global_subsumption_just,[status(thm)],[c_54637,c_25911,c_25941,c_51776]) ).
cnf(c_54784,plain,
( sK3(n0,filling,n1) = n0
| ~ holdsAt(sP0_iProver_def,n1) ),
inference(global_subsumption_just,[status(thm)],[c_54622,c_152,c_153,c_177,c_186,c_2802,c_12847,c_54622]) ).
cnf(c_54785,plain,
( ~ holdsAt(sP0_iProver_def,n1)
| sK3(n0,filling,n1) = n0 ),
inference(renaming,[status(thm)],[c_54784]) ).
cnf(c_55710,plain,
( ~ releasedAt(X0,n2)
| waterLevel(sK10(sK7(X0,n1),X0)) = X0
| releasedAt(X0,n1) ),
inference(superposition,[status(thm)],[c_113,c_1355]) ).
cnf(c_55711,plain,
( ~ releasedAt(X0,plus(n1,X1))
| waterLevel(sK10(sK7(X0,X1),X0)) = X0
| releasedAt(X0,X1) ),
inference(superposition,[status(thm)],[c_119,c_1355]) ).
cnf(c_56089,plain,
( releasedAt(waterLevel(X0),n4)
| holdsAt(sP0_iProver_def,n1)
| holdsAt(sP0_iProver_def,n3) ),
inference(global_subsumption_just,[status(thm)],[c_51281,c_28792,c_51939]) ).
cnf(c_56102,plain,
( ~ holdsAt(waterLevel(X0),n3)
| ~ happens(overflow,n3)
| holdsAt(sP0_iProver_def,n1)
| holdsAt(sP0_iProver_def,n3) ),
inference(superposition,[status(thm)],[c_56089,c_30751]) ).
cnf(c_56106,plain,
( releasedAt(waterLevel(X0),n3)
| holdsAt(sP0_iProver_def,n1)
| holdsAt(sP0_iProver_def,n3) ),
inference(superposition,[status(thm)],[c_56089,c_29051]) ).
cnf(c_56375,plain,
( ~ holdsAt(waterLevel(X0),n2)
| ~ happens(overflow,n2)
| holdsAt(sP0_iProver_def,n1)
| holdsAt(sP0_iProver_def,n3) ),
inference(superposition,[status(thm)],[c_56106,c_30636]) ).
cnf(c_56575,plain,
( holdsAt(sP0_iProver_def,n1)
| ~ happens(overflow,n3)
| ~ holdsAt(waterLevel(X0),n3) ),
inference(global_subsumption_just,[status(thm)],[c_56102,c_26238,c_56102]) ).
cnf(c_56576,plain,
( ~ holdsAt(waterLevel(X0),n3)
| ~ happens(overflow,n3)
| holdsAt(sP0_iProver_def,n1) ),
inference(renaming,[status(thm)],[c_56575]) ).
cnf(c_56589,plain,
( ~ sP1(X0,X1,n2)
| ~ happens(overflow,n3)
| ~ happens(overflow,n2)
| holdsAt(sP0_iProver_def,n1) ),
inference(superposition,[status(thm)],[c_35200,c_56576]) ).
cnf(c_56724,plain,
( ~ happens(overflow,n2)
| ~ holdsAt(waterLevel(X0),n2)
| holdsAt(sP0_iProver_def,n3) ),
inference(global_subsumption_just,[status(thm)],[c_56375,c_26229,c_32642]) ).
cnf(c_56725,plain,
( ~ holdsAt(waterLevel(X0),n2)
| ~ happens(overflow,n2)
| holdsAt(sP0_iProver_def,n3) ),
inference(renaming,[status(thm)],[c_56724]) ).
cnf(c_56733,plain,
( ~ sP1(X0,X1,n2)
| ~ happens(overflow,n2)
| holdsAt(sP0_iProver_def,n3) ),
inference(superposition,[status(thm)],[c_70,c_56725]) ).
cnf(c_58388,plain,
( ~ happens(overflow,n2)
| ~ happens(overflow,n3)
| ~ sP1(X0,X1,n2) ),
inference(global_subsumption_just,[status(thm)],[c_56589,c_26238,c_56733]) ).
cnf(c_58389,plain,
( ~ sP1(X0,X1,n2)
| ~ happens(overflow,n3)
| ~ happens(overflow,n2) ),
inference(renaming,[status(thm)],[c_58388]) ).
cnf(c_58398,plain,
( ~ happens(overflow,n3)
| ~ happens(overflow,n2)
| ~ holdsAt(sP0_iProver_def,n2) ),
inference(superposition,[status(thm)],[c_11956,c_58389]) ).
cnf(c_59274,plain,
( ~ happens(overflow,n1)
| stoppedIn(n0,filling,n1) ),
inference(global_subsumption_just,[status(thm)],[c_54090,c_152,c_153,c_177,c_186,c_2802,c_12689,c_12847,c_54410,c_54772]) ).
cnf(c_59306,plain,
( ~ holdsAt(waterLevel(n1),n3)
| ~ happens(overflow,n3)
| sK3(n0,filling,n1) = n0
| holdsAt(sP0_iProver_def,n1) ),
inference(superposition,[status(thm)],[c_54620,c_56576]) ).
cnf(c_59351,plain,
( ~ holdsAt(waterLevel(n1),n2)
| ~ happens(overflow,n2)
| sK3(n0,filling,n1) = n0
| holdsAt(sP0_iProver_def,n2) ),
inference(superposition,[status(thm)],[c_54620,c_32642]) ).
cnf(c_61086,plain,
( ~ holdsAt(X0,X1)
| X0 = filling
| holdsAt(X0,plus(X1,n1))
| releasedAt(X0,plus(n1,X1)) ),
inference(superposition,[status(thm)],[c_119,c_13266]) ).
cnf(c_67483,plain,
( ~ releasedAt(X0,n4)
| waterLevel(sK10(sK7(X0,n3),X0)) = X0
| releasedAt(X0,n3) ),
inference(superposition,[status(thm)],[c_115,c_55711]) ).
cnf(c_68324,plain,
( ~ holdsAt(X0,n3)
| X0 = filling
| holdsAt(X0,plus(n3,n1))
| releasedAt(X0,n4) ),
inference(superposition,[status(thm)],[c_115,c_61086]) ).
cnf(c_68635,plain,
( ~ holdsAt(X0,n3)
| X0 = filling
| holdsAt(X0,n4)
| releasedAt(X0,n4) ),
inference(demodulation,[status(thm)],[c_68324,c_115,c_119]) ).
cnf(c_68646,plain,
( ~ holdsAt(waterLevel(X0),n0)
| waterLevel(plus(X0,n3)) = filling
| holdsAt(waterLevel(plus(X0,n3)),n4)
| releasedAt(waterLevel(plus(X0,n3)),n4)
| stoppedIn(n0,filling,n3) ),
inference(superposition,[status(thm)],[c_20184,c_68635]) ).
cnf(c_68647,plain,
( sK2(n0,filling,n3) = overflow
| sK2(n0,filling,n3) = tapOn
| filling = sP0_iProver_def
| holdsAt(sP0_iProver_def,n4)
| releasedAt(sP0_iProver_def,n4) ),
inference(superposition,[status(thm)],[c_32510,c_68635]) ).
cnf(c_68649,plain,
( sK2(n0,filling,n3) = overflow
| sK2(n0,filling,n3) = tapOff
| filling = sP0_iProver_def
| holdsAt(sP0_iProver_def,n4)
| releasedAt(sP0_iProver_def,n4) ),
inference(superposition,[status(thm)],[c_32508,c_68635]) ).
cnf(c_68655,plain,
( sK2(n0,filling,n3) = overflow
| sK2(n0,filling,n3) = tapOff
| releasedAt(sP0_iProver_def,n4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68649,c_9979,c_11654]) ).
cnf(c_68663,plain,
( sK2(n0,filling,n3) = overflow
| sK2(n0,filling,n3) = tapOn
| releasedAt(sP0_iProver_def,n4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68647,c_9979,c_11654]) ).
cnf(c_68680,plain,
( ~ holdsAt(waterLevel(X0),n0)
| holdsAt(waterLevel(plus(X0,n3)),n4)
| releasedAt(waterLevel(plus(X0,n3)),n4)
| stoppedIn(n0,filling,n3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68646,c_105]) ).
cnf(c_68792,plain,
( sK2(n0,filling,n3) = overflow
| sK2(n0,filling,n3) = tapOff
| holdsAt(filling,n3)
| releasedAt(sP0_iProver_def,n3) ),
inference(superposition,[status(thm)],[c_68655,c_29198]) ).
cnf(c_68864,plain,
( sK2(n0,filling,n3) = overflow
| sK2(n0,filling,n3) = tapOn
| holdsAt(filling,n3)
| releasedAt(sP0_iProver_def,n3) ),
inference(superposition,[status(thm)],[c_68663,c_29198]) ).
cnf(c_68900,plain,
( ~ happens(tapOff,n2)
| ~ holdsAt(sP0_iProver_def,n2)
| sK2(n0,filling,n3) = overflow
| sK2(n0,filling,n3) = tapOff
| holdsAt(filling,n3) ),
inference(superposition,[status(thm)],[c_68792,c_30639]) ).
cnf(c_68901,plain,
( ~ happens(overflow,n2)
| ~ holdsAt(sP0_iProver_def,n2)
| sK2(n0,filling,n3) = overflow
| sK2(n0,filling,n3) = tapOff
| holdsAt(filling,n3) ),
inference(superposition,[status(thm)],[c_68792,c_30638]) ).
cnf(c_68906,plain,
( sK2(n0,filling,n3) = overflow
| sK2(n0,filling,n3) = tapOff
| holdsAt(filling,n3)
| holdsAt(filling,n2)
| releasedAt(sP0_iProver_def,n2) ),
inference(superposition,[status(thm)],[c_68792,c_29026]) ).
cnf(c_69097,plain,
( ~ happens(tapOff,n2)
| ~ holdsAt(sP0_iProver_def,n2)
| sK2(n0,filling,n3) = overflow
| sK2(n0,filling,n3) = tapOn
| holdsAt(filling,n3) ),
inference(superposition,[status(thm)],[c_68864,c_30639]) ).
cnf(c_69098,plain,
( ~ happens(overflow,n2)
| ~ holdsAt(sP0_iProver_def,n2)
| sK2(n0,filling,n3) = overflow
| sK2(n0,filling,n3) = tapOn
| holdsAt(filling,n3) ),
inference(superposition,[status(thm)],[c_68864,c_30638]) ).
cnf(c_69103,plain,
( sK2(n0,filling,n3) = overflow
| sK2(n0,filling,n3) = tapOn
| holdsAt(filling,n3)
| holdsAt(filling,n2)
| releasedAt(sP0_iProver_def,n2) ),
inference(superposition,[status(thm)],[c_68864,c_29026]) ).
cnf(c_70131,plain,
( holdsAt(filling,n3)
| sK2(n0,filling,n3) = tapOff
| sK2(n0,filling,n3) = overflow
| releasedAt(sP0_iProver_def,n2) ),
inference(global_subsumption_just,[status(thm)],[c_68906,c_13191,c_25911,c_28542,c_68906]) ).
cnf(c_70132,plain,
( sK2(n0,filling,n3) = overflow
| sK2(n0,filling,n3) = tapOff
| holdsAt(filling,n3)
| releasedAt(sP0_iProver_def,n2) ),
inference(renaming,[status(thm)],[c_70131]) ).
cnf(c_70303,plain,
( holdsAt(filling,n3)
| sK2(n0,filling,n3) = tapOn
| sK2(n0,filling,n3) = overflow
| releasedAt(sP0_iProver_def,n2) ),
inference(global_subsumption_just,[status(thm)],[c_69103,c_13191,c_25911,c_28542,c_69103]) ).
cnf(c_70304,plain,
( sK2(n0,filling,n3) = overflow
| sK2(n0,filling,n3) = tapOn
| holdsAt(filling,n3)
| releasedAt(sP0_iProver_def,n2) ),
inference(renaming,[status(thm)],[c_70303]) ).
cnf(c_70332,plain,
( ~ holdsAt(sP0_iProver_def,n2)
| sK2(n0,filling,n3) = overflow
| sK2(n0,filling,n3) = tapOff
| holdsAt(filling,n3) ),
inference(global_subsumption_just,[status(thm)],[c_68900,c_26020,c_51820,c_68901,c_70132]) ).
cnf(c_70418,plain,
( ~ holdsAt(sP0_iProver_def,n2)
| sK2(n0,filling,n3) = overflow
| sK2(n0,filling,n3) = tapOn
| holdsAt(filling,n3) ),
inference(global_subsumption_just,[status(thm)],[c_69097,c_26020,c_51820,c_69098,c_70304]) ).
cnf(c_89743,plain,
( ~ holdsAt(X0,n2)
| happens(sK4(X0,n2),n2)
| holdsAt(X0,plus(n2,n1))
| releasedAt(X0,n3) ),
inference(superposition,[status(thm)],[c_114,c_12982]) ).
cnf(c_89744,plain,
( ~ holdsAt(X0,n3)
| happens(sK4(X0,n3),n3)
| holdsAt(X0,plus(n3,n1))
| releasedAt(X0,n4) ),
inference(superposition,[status(thm)],[c_115,c_12982]) ).
cnf(c_89858,plain,
( ~ holdsAt(X0,n2)
| happens(sK4(X0,n2),n2)
| holdsAt(X0,n3)
| releasedAt(X0,n3) ),
inference(demodulation,[status(thm)],[c_89743,c_114,c_119]) ).
cnf(c_89868,plain,
( ~ holdsAt(X0,n2)
| n0 = n2
| holdsAt(X0,n3)
| releasedAt(X0,n3)
| holdsAt(sP0_iProver_def,n2) ),
inference(superposition,[status(thm)],[c_89858,c_12366]) ).
cnf(c_89909,plain,
( ~ holdsAt(X0,n3)
| happens(sK4(X0,n3),n3)
| holdsAt(X0,n4)
| releasedAt(X0,n4) ),
inference(demodulation,[status(thm)],[c_89744,c_115,c_119]) ).
cnf(c_89919,plain,
( ~ holdsAt(X0,n3)
| n0 = n3
| holdsAt(X0,n4)
| releasedAt(X0,n4)
| holdsAt(sP0_iProver_def,n3) ),
inference(superposition,[status(thm)],[c_89909,c_12366]) ).
cnf(c_89997,plain,
( ~ holdsAt(X0,n2)
| holdsAt(X0,n3)
| releasedAt(X0,n3)
| holdsAt(sP0_iProver_def,n2) ),
inference(global_subsumption_just,[status(thm)],[c_89868,c_152,c_153,c_177,c_2802,c_2968,c_89868]) ).
cnf(c_90012,plain,
( holdsAt(filling,n3)
| holdsAt(sP0_iProver_def,n1)
| holdsAt(sP0_iProver_def,n2)
| releasedAt(filling,n3) ),
inference(superposition,[status(thm)],[c_51813,c_89997]) ).
cnf(c_90042,plain,
( holdsAt(filling,n3)
| holdsAt(sP0_iProver_def,n2)
| releasedAt(filling,n3) ),
inference(global_subsumption_just,[status(thm)],[c_90012,c_25799,c_90012]) ).
cnf(c_90060,plain,
( holdsAt(filling,n3)
| holdsAt(sP0_iProver_def,n2)
| releasedAt(filling,n2) ),
inference(superposition,[status(thm)],[c_90042,c_29003]) ).
cnf(c_90193,plain,
( waterLevel(sK10(sK7(filling,n1),filling)) = filling
| holdsAt(filling,n3)
| holdsAt(sP0_iProver_def,n2)
| releasedAt(filling,n1) ),
inference(superposition,[status(thm)],[c_90060,c_55710]) ).
cnf(c_90228,plain,
( holdsAt(filling,n3)
| holdsAt(sP0_iProver_def,n2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90193,c_30794,c_105]) ).
cnf(c_90236,plain,
( sK2(n0,filling,n3) = overflow
| sK2(n0,filling,n3) = tapOff
| holdsAt(filling,n3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_70332,c_90228]) ).
cnf(c_90237,plain,
( sK2(n0,filling,n3) = overflow
| sK2(n0,filling,n3) = tapOn
| holdsAt(filling,n3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_70418,c_90228]) ).
cnf(c_90247,plain,
( ~ holdsAt(sP0_iProver_def,n3)
| happens(overflow,n3)
| holdsAt(sP0_iProver_def,n2) ),
inference(superposition,[status(thm)],[c_90228,c_12320]) ).
cnf(c_90248,plain,
( ~ happens(tapOff,n2)
| holdsAt(sP0_iProver_def,n2) ),
inference(superposition,[status(thm)],[c_90228,c_30240]) ).
cnf(c_90277,plain,
( ~ holdsAt(sP0_iProver_def,n3)
| sK2(n0,filling,n3) = overflow
| sK2(n0,filling,n3) = tapOff
| happens(overflow,n3) ),
inference(superposition,[status(thm)],[c_90236,c_12320]) ).
cnf(c_90278,plain,
( ~ happens(tapOff,n2)
| sK2(n0,filling,n3) = overflow
| sK2(n0,filling,n3) = tapOff ),
inference(superposition,[status(thm)],[c_90236,c_30240]) ).
cnf(c_90289,plain,
( ~ holdsAt(sP0_iProver_def,n3)
| holdsAt(sP0_iProver_def,n2) ),
inference(global_subsumption_just,[status(thm)],[c_90247,c_26238,c_90247]) ).
cnf(c_90344,plain,
( ~ holdsAt(X0,n3)
| holdsAt(X0,n4)
| releasedAt(X0,n4)
| holdsAt(sP0_iProver_def,n3) ),
inference(global_subsumption_just,[status(thm)],[c_89919,c_152,c_153,c_177,c_2802,c_2822,c_2986,c_89919]) ).
cnf(c_90359,plain,
( holdsAt(filling,n4)
| holdsAt(sP0_iProver_def,n3)
| holdsAt(sP0_iProver_def,n2)
| releasedAt(filling,n4) ),
inference(superposition,[status(thm)],[c_90228,c_90344]) ).
cnf(c_90426,plain,
( ~ happens(tapOff,n2)
| ~ releasedAt(sP0_iProver_def,n3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_30639,c_90248]) ).
cnf(c_90473,plain,
( ~ holdsAt(sP0_iProver_def,n3)
| sK2(n0,filling,n3) = overflow
| sK2(n0,filling,n3) = tapOn
| happens(overflow,n3) ),
inference(superposition,[status(thm)],[c_90237,c_12320]) ).
cnf(c_90474,plain,
( ~ happens(tapOff,n2)
| sK2(n0,filling,n3) = overflow
| sK2(n0,filling,n3) = tapOn ),
inference(superposition,[status(thm)],[c_90237,c_30240]) ).
cnf(c_90501,plain,
( sK2(n0,filling,n3) = overflow
| sK2(n0,filling,n3) = tapOff ),
inference(global_subsumption_just,[status(thm)],[c_90278,c_32508,c_39041,c_90277]) ).
cnf(c_90514,plain,
( sK2(n0,filling,n3) = overflow
| sK2(n0,filling,n3) = tapOn ),
inference(global_subsumption_just,[status(thm)],[c_90474,c_32510,c_39043,c_90473]) ).
cnf(c_90524,plain,
( sK2(n0,filling,n3) = overflow
| tapOff = tapOn ),
inference(superposition,[status(thm)],[c_90514,c_90501]) ).
cnf(c_90526,plain,
sK2(n0,filling,n3) = overflow,
inference(forward_subsumption_resolution,[status(thm)],[c_90524,c_102]) ).
cnf(c_90534,plain,
( ~ stoppedIn(n0,filling,n3)
| happens(overflow,sK3(n0,filling,n3)) ),
inference(superposition,[status(thm)],[c_90526,c_52]) ).
cnf(c_90541,plain,
( ~ stoppedIn(n0,filling,n3)
| overflow = tapOn
| holdsAt(sP0_iProver_def,sK3(n0,filling,n3)) ),
inference(superposition,[status(thm)],[c_90534,c_12374]) ).
cnf(c_90545,plain,
( ~ stoppedIn(n0,filling,n3)
| overflow = tapOn
| holdsAt(filling,sK3(n0,filling,n3)) ),
inference(superposition,[status(thm)],[c_90534,c_97]) ).
cnf(c_90556,plain,
( ~ holdsAt(sP0_iProver_def,sK3(n0,filling,n3))
| ~ stoppedIn(n0,filling,n3)
| sK9(sP0_iProver_def,tapOff,plus(n1,sK3(n0,filling,n3))) = n3 ),
inference(superposition,[status(thm)],[c_90534,c_36972]) ).
cnf(c_90565,plain,
( ~ stoppedIn(n0,filling,n3)
| holdsAt(filling,sK3(n0,filling,n3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90545,c_104]) ).
cnf(c_90568,plain,
( ~ stoppedIn(n0,filling,n3)
| holdsAt(sP0_iProver_def,sK3(n0,filling,n3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90541,c_104]) ).
cnf(c_90956,plain,
( ~ stoppedIn(n0,filling,n3)
| sK9(sP0_iProver_def,tapOff,plus(n1,sK3(n0,filling,n3))) = n3 ),
inference(global_subsumption_just,[status(thm)],[c_90556,c_90568,c_90556]) ).
cnf(c_90964,plain,
( ~ happens(overflow,n3)
| sK9(sP0_iProver_def,tapOff,plus(n1,sK3(n0,filling,n3))) = n3 ),
inference(superposition,[status(thm)],[c_39036,c_90956]) ).
cnf(c_90965,plain,
( sK9(sP0_iProver_def,tapOff,plus(n1,sK3(n0,filling,n3))) = n3
| holdsAt(sP0_iProver_def,n3) ),
inference(superposition,[status(thm)],[c_32424,c_90956]) ).
cnf(c_91242,plain,
( holdsAt(filling,n4)
| holdsAt(sP0_iProver_def,n2)
| releasedAt(filling,n4) ),
inference(global_subsumption_just,[status(thm)],[c_90359,c_90289,c_90359]) ).
cnf(c_91255,plain,
( waterLevel(sK10(sK7(filling,n3),filling)) = filling
| holdsAt(filling,n4)
| holdsAt(sP0_iProver_def,n2)
| releasedAt(filling,n3) ),
inference(superposition,[status(thm)],[c_91242,c_67483]) ).
cnf(c_91288,plain,
( holdsAt(filling,n4)
| holdsAt(sP0_iProver_def,n2)
| releasedAt(filling,n3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91255,c_105]) ).
cnf(c_91313,plain,
( holdsAt(filling,n4)
| holdsAt(sP0_iProver_def,n2)
| releasedAt(filling,n2) ),
inference(superposition,[status(thm)],[c_91288,c_29003]) ).
cnf(c_91353,plain,
( waterLevel(sK10(sK7(filling,n1),filling)) = filling
| holdsAt(filling,n4)
| holdsAt(sP0_iProver_def,n2)
| releasedAt(filling,n1) ),
inference(superposition,[status(thm)],[c_91313,c_55710]) ).
cnf(c_91384,plain,
( holdsAt(filling,n4)
| holdsAt(sP0_iProver_def,n2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91353,c_30794,c_105]) ).
cnf(c_91407,plain,
( sK9(sP0_iProver_def,tapOff,plus(n1,sK3(n0,filling,n3))) = n3
| holdsAt(sP0_iProver_def,n2) ),
inference(superposition,[status(thm)],[c_90965,c_90289]) ).
cnf(c_91413,plain,
( sK9(sP0_iProver_def,tapOff,plus(n1,sK3(n0,filling,n3))) = n3
| filling = sP0_iProver_def
| holdsAt(sP0_iProver_def,n4)
| releasedAt(sP0_iProver_def,n4) ),
inference(superposition,[status(thm)],[c_90965,c_68635]) ).
cnf(c_91428,plain,
( sK9(sP0_iProver_def,tapOff,plus(n1,sK3(n0,filling,n3))) = n3
| releasedAt(sP0_iProver_def,n4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91413,c_9979,c_11654]) ).
cnf(c_91438,plain,
( sK9(sP0_iProver_def,tapOff,plus(n1,sK3(n0,filling,n3))) = n3
| holdsAt(filling,n3)
| releasedAt(sP0_iProver_def,n3) ),
inference(superposition,[status(thm)],[c_91428,c_29198]) ).
cnf(c_91458,plain,
( ~ happens(tapOff,n2)
| sK9(sP0_iProver_def,tapOff,plus(n1,sK3(n0,filling,n3))) = n3
| holdsAt(filling,n3) ),
inference(superposition,[status(thm)],[c_91438,c_90426]) ).
cnf(c_91459,plain,
( ~ happens(overflow,n2)
| ~ holdsAt(sP0_iProver_def,n2)
| sK9(sP0_iProver_def,tapOff,plus(n1,sK3(n0,filling,n3))) = n3
| holdsAt(filling,n3) ),
inference(superposition,[status(thm)],[c_91438,c_30638]) ).
cnf(c_91464,plain,
( sK9(sP0_iProver_def,tapOff,plus(n1,sK3(n0,filling,n3))) = n3
| holdsAt(filling,n3)
| holdsAt(filling,n2)
| releasedAt(sP0_iProver_def,n2) ),
inference(superposition,[status(thm)],[c_91438,c_29026]) ).
cnf(c_91973,plain,
( sK9(sP0_iProver_def,tapOff,plus(n1,sK3(n0,filling,n3))) = n3
| holdsAt(filling,n3) ),
inference(global_subsumption_just,[status(thm)],[c_91458,c_13191,c_25911,c_25968,c_51820,c_91407,c_91464,c_91459]) ).
cnf(c_91979,plain,
( ~ holdsAt(sP0_iProver_def,n3)
| sK9(sP0_iProver_def,tapOff,plus(n1,sK3(n0,filling,n3))) = n3
| happens(overflow,n3) ),
inference(superposition,[status(thm)],[c_91973,c_12320]) ).
cnf(c_91998,plain,
sK9(sP0_iProver_def,tapOff,plus(n1,sK3(n0,filling,n3))) = n3,
inference(global_subsumption_just,[status(thm)],[c_91459,c_90965,c_90964,c_91979]) ).
cnf(c_152733,plain,
( ~ happens(overflow,n3)
| holdsAt(sP0_iProver_def,n2) ),
inference(global_subsumption_just,[status(thm)],[c_51848,c_30292,c_91384]) ).
cnf(c_152739,plain,
( ~ happens(overflow,n3)
| ~ happens(overflow,n2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_58398,c_152733]) ).
cnf(c_152746,plain,
( ~ holdsAt(sP0_iProver_def,n1)
| stoppedIn(n0,filling,n1) ),
inference(global_subsumption_just,[status(thm)],[c_54076,c_13191,c_59274]) ).
cnf(c_169500,plain,
( ~ happens(overflow,n3)
| holdsAt(sP0_iProver_def,n1) ),
inference(global_subsumption_just,[status(thm)],[c_59306,c_26238,c_26229,c_51820,c_152733]) ).
cnf(c_169885,plain,
( ~ happens(overflow,n2)
| holdsAt(sP0_iProver_def,n2) ),
inference(global_subsumption_just,[status(thm)],[c_59351,c_30239,c_90228]) ).
cnf(c_169892,plain,
( ~ happens(overflow,n2)
| ~ releasedAt(sP0_iProver_def,n3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_30638,c_169885]) ).
cnf(c_211829,plain,
( ~ holdsAt(waterLevel(n0),n0)
| holdsAt(waterLevel(plus(n0,n3)),n4)
| stoppedIn(n0,filling,n3)
| releasedAt(waterLevel(n3),n4) ),
inference(superposition,[status(thm)],[c_112,c_68680]) ).
cnf(c_211841,plain,
( ~ holdsAt(waterLevel(n0),n0)
| stoppedIn(n0,filling,n3)
| holdsAt(sP0_iProver_def,n4)
| releasedAt(sP0_iProver_def,n4) ),
inference(light_normalisation,[status(thm)],[c_211829,c_112,c_9978]) ).
cnf(c_211842,plain,
( stoppedIn(n0,filling,n3)
| releasedAt(sP0_iProver_def,n4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211841,c_9979,c_145]) ).
cnf(c_211908,plain,
( sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1
| sK3(n0,filling,n3) = n2
| releasedAt(sP0_iProver_def,n4) ),
inference(superposition,[status(thm)],[c_211842,c_38073]) ).
cnf(c_212146,plain,
( sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1
| sK3(n0,filling,n3) = n2
| sK7(sP0_iProver_def,n3) = overflow
| releasedAt(sP0_iProver_def,n3) ),
inference(superposition,[status(thm)],[c_211908,c_51720]) ).
cnf(c_212148,plain,
( sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1
| sK3(n0,filling,n3) = n2
| holdsAt(filling,n3)
| releasedAt(sP0_iProver_def,n3) ),
inference(superposition,[status(thm)],[c_211908,c_29198]) ).
cnf(c_212190,plain,
( ~ happens(overflow,n2)
| sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1
| sK3(n0,filling,n3) = n2
| holdsAt(filling,n3) ),
inference(superposition,[status(thm)],[c_212148,c_169892]) ).
cnf(c_212195,plain,
( sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1
| sK3(n0,filling,n3) = n2
| holdsAt(filling,n3)
| holdsAt(filling,n2)
| releasedAt(sP0_iProver_def,n2) ),
inference(superposition,[status(thm)],[c_212148,c_29026]) ).
cnf(c_212255,plain,
( ~ happens(overflow,n2)
| sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1
| sK3(n0,filling,n3) = n2
| sK7(sP0_iProver_def,n3) = overflow ),
inference(superposition,[status(thm)],[c_212146,c_169892]) ).
cnf(c_212489,plain,
( sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1
| sK3(n0,filling,n3) = n2
| holdsAt(filling,n3) ),
inference(global_subsumption_just,[status(thm)],[c_212190,c_13191,c_25911,c_25968,c_38733,c_39045,c_51820,c_90247,c_212190,c_212195]) ).
cnf(c_212499,plain,
( ~ holdsAt(sP0_iProver_def,n3)
| sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1
| sK3(n0,filling,n3) = n2
| happens(overflow,n3) ),
inference(superposition,[status(thm)],[c_212489,c_12320]) ).
cnf(c_214543,plain,
( sK3(n0,filling,n3) = n2
| sK3(n0,filling,n3) = n1
| sK3(n0,filling,n3) = n0 ),
inference(global_subsumption_just,[status(thm)],[c_212255,c_38733,c_39045,c_212499]) ).
cnf(c_214544,plain,
( sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1
| sK3(n0,filling,n3) = n2 ),
inference(renaming,[status(thm)],[c_214543]) ).
cnf(c_214592,plain,
( sK9(sP0_iProver_def,tapOff,plus(n1,n2)) = n3
| sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1 ),
inference(superposition,[status(thm)],[c_214544,c_91998]) ).
cnf(c_214595,plain,
( ~ stoppedIn(n0,filling,n3)
| sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1
| holdsAt(sP0_iProver_def,n2) ),
inference(superposition,[status(thm)],[c_214544,c_90568]) ).
cnf(c_214596,plain,
( ~ stoppedIn(n0,filling,n3)
| sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1
| holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_214544,c_90565]) ).
cnf(c_214597,plain,
( ~ stoppedIn(n0,filling,n3)
| sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1
| happens(overflow,n2) ),
inference(superposition,[status(thm)],[c_214544,c_90534]) ).
cnf(c_214620,plain,
( sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1
| sK9(sP0_iProver_def,tapOff,n3) = n3 ),
inference(light_normalisation,[status(thm)],[c_214592,c_114]) ).
cnf(c_218130,plain,
( ~ sP0(sP0_iProver_def,tapOff,n3)
| ~ happens(overflow,n3)
| sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1
| holdsAt(waterLevel(n3),n4) ),
inference(superposition,[status(thm)],[c_214620,c_35286]) ).
cnf(c_218136,plain,
( ~ sP0(sP0_iProver_def,tapOff,n3)
| ~ happens(overflow,n3)
| sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1
| holdsAt(sP0_iProver_def,n4) ),
inference(light_normalisation,[status(thm)],[c_218130,c_9978]) ).
cnf(c_218137,plain,
( ~ sP0(sP0_iProver_def,tapOff,n3)
| ~ happens(overflow,n3)
| sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_218136,c_9979]) ).
cnf(c_218148,plain,
( ~ happens(overflow,n3)
| sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1 ),
inference(global_subsumption_just,[status(thm)],[c_218137,c_39036,c_152739,c_214597]) ).
cnf(c_219868,plain,
( sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1
| holdsAt(sP0_iProver_def,n2) ),
inference(global_subsumption_just,[status(thm)],[c_214595,c_32424,c_90247,c_214595,c_218148]) ).
cnf(c_219905,plain,
( sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1
| holdsAt(sP0_iProver_def,n1)
| holdsAt(sP0_iProver_def,n3) ),
inference(superposition,[status(thm)],[c_219868,c_51939]) ).
cnf(c_219906,plain,
( sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1
| happens(overflow,n2)
| holdsAt(sP0_iProver_def,n1) ),
inference(superposition,[status(thm)],[c_219868,c_51820]) ).
cnf(c_220189,plain,
( sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1
| holdsAt(filling,n2)
| releasedAt(sP0_iProver_def,n4) ),
inference(superposition,[status(thm)],[c_211842,c_214596]) ).
cnf(c_220244,plain,
( sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1
| holdsAt(filling,n3)
| holdsAt(filling,n2)
| releasedAt(sP0_iProver_def,n3) ),
inference(superposition,[status(thm)],[c_220189,c_29198]) ).
cnf(c_220284,plain,
( sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1
| holdsAt(filling,n3)
| holdsAt(filling,n2)
| releasedAt(sP0_iProver_def,n2) ),
inference(superposition,[status(thm)],[c_220244,c_29026]) ).
cnf(c_220589,plain,
( holdsAt(filling,n3)
| sK3(n0,filling,n3) = n1
| sK3(n0,filling,n3) = n0
| releasedAt(sP0_iProver_def,n2) ),
inference(global_subsumption_just,[status(thm)],[c_220284,c_13191,c_25911,c_28542,c_220284]) ).
cnf(c_220590,plain,
( sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1
| holdsAt(filling,n3)
| releasedAt(sP0_iProver_def,n2) ),
inference(renaming,[status(thm)],[c_220589]) ).
cnf(c_224090,plain,
( sK3(n0,filling,n3) = n1
| sK3(n0,filling,n3) = n0
| holdsAt(sP0_iProver_def,n3) ),
inference(global_subsumption_just,[status(thm)],[c_219905,c_26229,c_32424,c_214597,c_219868]) ).
cnf(c_224091,plain,
( sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1
| holdsAt(sP0_iProver_def,n3) ),
inference(renaming,[status(thm)],[c_224090]) ).
cnf(c_224122,plain,
( sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1
| filling = sP0_iProver_def
| holdsAt(sP0_iProver_def,n4)
| releasedAt(sP0_iProver_def,n4) ),
inference(superposition,[status(thm)],[c_224091,c_68635]) ).
cnf(c_224138,plain,
( sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1
| releasedAt(sP0_iProver_def,n4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224122,c_9979,c_11654]) ).
cnf(c_224226,plain,
( sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1
| sK7(sP0_iProver_def,n3) = overflow
| releasedAt(sP0_iProver_def,n3) ),
inference(superposition,[status(thm)],[c_224138,c_51720]) ).
cnf(c_224228,plain,
( sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1
| holdsAt(filling,n3)
| releasedAt(sP0_iProver_def,n3) ),
inference(superposition,[status(thm)],[c_224138,c_29198]) ).
cnf(c_224246,plain,
( sK3(n0,filling,n3) = n1
| sK3(n0,filling,n3) = n0
| holdsAt(sP0_iProver_def,n1) ),
inference(global_subsumption_just,[status(thm)],[c_219906,c_30239,c_30638,c_219868,c_219906,c_224228]) ).
cnf(c_224247,plain,
( sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1
| holdsAt(sP0_iProver_def,n1) ),
inference(renaming,[status(thm)],[c_224246]) ).
cnf(c_224279,plain,
( ~ releasedAt(sP0_iProver_def,n2)
| sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1 ),
inference(superposition,[status(thm)],[c_224247,c_26020]) ).
cnf(c_224618,plain,
( holdsAt(filling,n3)
| sK3(n0,filling,n3) = n1
| sK3(n0,filling,n3) = n0 ),
inference(global_subsumption_just,[status(thm)],[c_224228,c_220590,c_224279]) ).
cnf(c_224619,plain,
( sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1
| holdsAt(filling,n3) ),
inference(renaming,[status(thm)],[c_224618]) ).
cnf(c_224626,plain,
( ~ holdsAt(sP0_iProver_def,n3)
| sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1
| happens(overflow,n3) ),
inference(superposition,[status(thm)],[c_224619,c_12320]) ).
cnf(c_224657,plain,
( sK3(n0,filling,n3) = n0
| sK3(n0,filling,n3) = n1 ),
inference(global_subsumption_just,[status(thm)],[c_224226,c_218148,c_224091,c_224626]) ).
cnf(c_224709,plain,
( ~ stoppedIn(n0,filling,n3)
| sK3(n0,filling,n3) = n1
| happens(overflow,n0) ),
inference(superposition,[status(thm)],[c_224657,c_90534]) ).
cnf(c_224714,plain,
( ~ stoppedIn(n0,filling,n3)
| sK3(n0,filling,n3) = n1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_224709,c_30359]) ).
cnf(c_225901,plain,
( sK3(n0,filling,n3) = n1
| releasedAt(sP0_iProver_def,n4) ),
inference(superposition,[status(thm)],[c_211842,c_224714]) ).
cnf(c_225909,plain,
( ~ happens(overflow,n3)
| sK3(n0,filling,n3) = n1 ),
inference(superposition,[status(thm)],[c_39036,c_224714]) ).
cnf(c_225910,plain,
( sK3(n0,filling,n3) = n1
| holdsAt(sP0_iProver_def,n3) ),
inference(superposition,[status(thm)],[c_32424,c_224714]) ).
cnf(c_226215,plain,
( sK3(n0,filling,n3) = n1
| holdsAt(filling,n3)
| releasedAt(sP0_iProver_def,n3) ),
inference(superposition,[status(thm)],[c_225901,c_29198]) ).
cnf(c_226259,plain,
( sK3(n0,filling,n3) = n1
| holdsAt(sP0_iProver_def,n2) ),
inference(superposition,[status(thm)],[c_225910,c_90289]) ).
cnf(c_226383,plain,
( sK3(n0,filling,n3) = n1
| happens(overflow,n2)
| holdsAt(sP0_iProver_def,n1) ),
inference(superposition,[status(thm)],[c_226259,c_51820]) ).
cnf(c_226561,plain,
( ~ happens(overflow,n2)
| sK3(n0,filling,n3) = n1
| holdsAt(filling,n3) ),
inference(superposition,[status(thm)],[c_226215,c_169892]) ).
cnf(c_226566,plain,
( sK3(n0,filling,n3) = n1
| holdsAt(filling,n3)
| holdsAt(filling,n2)
| releasedAt(sP0_iProver_def,n2) ),
inference(superposition,[status(thm)],[c_226215,c_29026]) ).
cnf(c_227808,plain,
( sK3(n0,filling,n3) = n1
| holdsAt(sP0_iProver_def,n1) ),
inference(global_subsumption_just,[status(thm)],[c_226383,c_30239,c_51820,c_226259,c_226561]) ).
cnf(c_227839,plain,
( ~ releasedAt(sP0_iProver_def,n2)
| sK3(n0,filling,n3) = n1 ),
inference(superposition,[status(thm)],[c_227808,c_26020]) ).
cnf(c_227841,plain,
( sK3(n0,filling,n3) = n1
| happens(overflow,n1) ),
inference(superposition,[status(thm)],[c_227808,c_13191]) ).
cnf(c_228008,plain,
( sK3(n0,filling,n3) = n1
| holdsAt(filling,n3) ),
inference(global_subsumption_just,[status(thm)],[c_226561,c_25911,c_226566,c_227841,c_227839]) ).
cnf(c_228014,plain,
( ~ holdsAt(sP0_iProver_def,n3)
| sK3(n0,filling,n3) = n1
| happens(overflow,n3) ),
inference(superposition,[status(thm)],[c_228008,c_12320]) ).
cnf(c_229491,plain,
sK3(n0,filling,n3) = n1,
inference(global_subsumption_just,[status(thm)],[c_228014,c_225910,c_225909,c_228014]) ).
cnf(c_229510,plain,
( ~ stoppedIn(n0,filling,n3)
| holdsAt(sP0_iProver_def,n1) ),
inference(demodulation,[status(thm)],[c_90568,c_229491]) ).
cnf(c_229696,plain,
( holdsAt(sP0_iProver_def,n1)
| releasedAt(sP0_iProver_def,n4) ),
inference(superposition,[status(thm)],[c_211842,c_229510]) ).
cnf(c_229705,plain,
( holdsAt(sP0_iProver_def,n1)
| holdsAt(sP0_iProver_def,n3) ),
inference(superposition,[status(thm)],[c_32424,c_229510]) ).
cnf(c_229731,plain,
( holdsAt(filling,n3)
| holdsAt(sP0_iProver_def,n1)
| releasedAt(sP0_iProver_def,n3) ),
inference(superposition,[status(thm)],[c_229696,c_29198]) ).
cnf(c_229745,plain,
holdsAt(sP0_iProver_def,n1),
inference(global_subsumption_just,[status(thm)],[c_229731,c_30239,c_30638,c_51820,c_90247,c_169500,c_229705,c_229731]) ).
cnf(c_229759,plain,
stoppedIn(n0,filling,n1),
inference(backward_subsumption_resolution,[status(thm)],[c_152746,c_229745]) ).
cnf(c_229760,plain,
sK3(n0,filling,n1) = n0,
inference(backward_subsumption_resolution,[status(thm)],[c_54785,c_229745]) ).
cnf(c_230169,plain,
( ~ stoppedIn(n0,filling,n1)
| less(n0,n0) ),
inference(superposition,[status(thm)],[c_229760,c_51]) ).
cnf(c_230197,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_230169,c_123,c_229759]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : CSR001+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.10/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 2 23:18:44 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 65.80/9.75 % SZS status Started for theBenchmark.p
% 65.80/9.75 % SZS status Theorem for theBenchmark.p
% 65.80/9.75
% 65.80/9.75 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 65.80/9.75
% 65.80/9.75 ------ iProver source info
% 65.80/9.75
% 65.80/9.75 git: date: 2024-05-02 19:28:25 +0000
% 65.80/9.75 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 65.80/9.75 git: non_committed_changes: false
% 65.80/9.75
% 65.80/9.75 ------ Parsing...
% 65.80/9.75 ------ Clausification by vclausify_rel & Parsing by iProver...
% 65.80/9.75
% 65.80/9.75 ------ 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
% 65.80/9.75
% 65.80/9.75 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 65.80/9.75
% 65.80/9.75 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 65.80/9.75 ------ Proving...
% 65.80/9.75 ------ Problem Properties
% 65.80/9.75
% 65.80/9.75
% 65.80/9.75 clauses 100
% 65.80/9.75 conjectures 1
% 65.80/9.75 EPR 53
% 65.80/9.75 Horn 77
% 65.80/9.75 unary 34
% 65.80/9.75 binary 37
% 65.80/9.75 lits 209
% 65.80/9.75 lits eq 49
% 65.80/9.75 fd_pure 0
% 65.80/9.75 fd_pseudo 0
% 65.80/9.75 fd_cond 14
% 65.80/9.75 fd_pseudo_cond 4
% 65.80/9.75 AC symbols 0
% 65.80/9.75
% 65.80/9.75 ------ Schedule dynamic 5 is on
% 65.80/9.75
% 65.80/9.75 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 65.80/9.75
% 65.80/9.75
% 65.80/9.75 ------
% 65.80/9.75 Current options:
% 65.80/9.75 ------
% 65.80/9.75
% 65.80/9.75
% 65.80/9.75
% 65.80/9.75
% 65.80/9.75 ------ Proving...
% 65.80/9.75
% 65.80/9.75
% 65.80/9.75 % SZS status Theorem for theBenchmark.p
% 65.80/9.75
% 65.80/9.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 65.80/9.75
% 65.80/9.76
%------------------------------------------------------------------------------