TSTP Solution File: CSR005+2 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : CSR005+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.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 02:11:02 EDT 2024
% Result : Theorem 85.00s 12.22s
% Output : CNFRefutation 85.00s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f292)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( stoppedIn(X0,X1,X2)
<=> ? [X3,X4] :
( terminates(X3,X1,X4)
& less(X4,X2)
& less(X0,X4)
& happens(X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stoppedin_defn) ).
fof(f3,axiom,
! [X3,X4,X1,X5,X6] :
( ( ~ stoppedIn(X4,X1,plus(X4,X6))
& trajectory(X1,X4,X5,X6)
& less(n0,X6)
& initiates(X3,X1,X4)
& happens(X3,X4) )
=> holdsAt(X5,plus(X4,X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',change_holding) ).
fof(f5,axiom,
! [X1,X4] :
( ( ~ ? [X3] :
( terminates(X3,X1,X4)
& happens(X3,X4) )
& ~ releasedAt(X1,plus(X4,n1))
& holdsAt(X1,X4) )
=> holdsAt(X1,plus(X4,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',keep_holding) ).
fof(f6,axiom,
! [X1,X4] :
( ( ~ ? [X3] :
( initiates(X3,X1,X4)
& happens(X3,X4) )
& ~ releasedAt(X1,plus(X4,n1))
& ~ holdsAt(X1,X4) )
=> ~ holdsAt(X1,plus(X4,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',keep_not_holding) ).
fof(f7,axiom,
! [X1,X4] :
( ( ~ ? [X3] :
( ( terminates(X3,X1,X4)
| initiates(X3,X1,X4) )
& happens(X3,X4) )
& releasedAt(X1,X4) )
=> releasedAt(X1,plus(X4,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',keep_released) ).
fof(f8,axiom,
! [X1,X4] :
( ( ~ ? [X3] :
( releases(X3,X1,X4)
& happens(X3,X4) )
& ~ releasedAt(X1,X4) )
=> ~ releasedAt(X1,plus(X4,n1)) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',happens_holds) ).
fof(f10,axiom,
! [X3,X4,X1] :
( ( terminates(X3,X1,X4)
& happens(X3,X4) )
=> ~ holdsAt(X1,plus(X4,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_terminates_not_holds) ).
fof(f11,axiom,
! [X3,X4,X1] :
( ( releases(X3,X1,X4)
& happens(X3,X4) )
=> releasedAt(X1,plus(X4,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_releases) ).
fof(f12,axiom,
! [X3,X4,X1] :
( ( ( terminates(X3,X1,X4)
| initiates(X3,X1,X4) )
& happens(X3,X4) )
=> ~ releasedAt(X1,plus(X4,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_not_released) ).
fof(f13,axiom,
! [X3,X1,X4] :
( initiates(X3,X1,X4)
<=> ( ? [X8] :
( waterLevel(X8) = X1
& overflow = X3
& holdsAt(waterLevel(X8),X4) )
| ? [X8] :
( waterLevel(X8) = X1
& tapOff = X3
& holdsAt(waterLevel(X8),X4) )
| ( spilling = X1
& overflow = X3 )
| ( filling = X1
& tapOn = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initiates_all_defn) ).
fof(f14,axiom,
! [X3,X1,X4] :
( terminates(X3,X1,X4)
<=> ( ( filling = X1
& overflow = X3 )
| ( filling = X1
& tapOff = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',terminates_all_defn) ).
fof(f15,axiom,
! [X3,X1,X4] :
( releases(X3,X1,X4)
<=> ? [X8] :
( waterLevel(X8) = X1
& tapOn = X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',releases_all_defn) ).
fof(f16,axiom,
! [X3,X4] :
( happens(X3,X4)
<=> ( ( overflow = X3
& holdsAt(filling,X4)
& holdsAt(waterLevel(n3),X4) )
| ( n0 = X4
& tapOn = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_all_defn) ).
fof(f17,axiom,
! [X9,X4,X10,X6] :
( ( plus(X9,X6) = X10
& holdsAt(waterLevel(X9),X4) )
=> trajectory(filling,X4,waterLevel(X10),X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',change_of_waterLevel) ).
fof(f18,axiom,
! [X4,X9,X10] :
( ( holdsAt(waterLevel(X10),X4)
& holdsAt(waterLevel(X9),X4) )
=> X9 = X10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',same_waterLevel) ).
fof(f19,axiom,
tapOn != tapOff,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tapOff_not_tapOn) ).
fof(f21,axiom,
tapOn != overflow,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',overflow_not_tapOn) ).
fof(f22,axiom,
! [X11] : filling != waterLevel(X11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',filling_not_waterLevel) ).
fof(f27,axiom,
n1 = plus(n0,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_1) ).
fof(f28,axiom,
n2 = plus(n0,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_2) ).
fof(f29,axiom,
n3 = plus(n0,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_3) ).
fof(f30,axiom,
n2 = plus(n1,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_1) ).
fof(f31,axiom,
n3 = plus(n1,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_2) ).
fof(f32,axiom,
plus(n1,n3) = n4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_3) ).
fof(f36,axiom,
! [X11,X12] : plus(X11,X12) = plus(X12,X11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_plus) ).
fof(f37,axiom,
! [X11,X12] :
( less_or_equal(X11,X12)
<=> ( X11 = X12
| less(X11,X12) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal) ).
fof(f38,axiom,
~ ? [X11] : less(X11,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less0) ).
fof(f39,axiom,
! [X11] :
( less(X11,n1)
<=> less_or_equal(X11,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less1) ).
fof(f40,axiom,
! [X11] :
( less(X11,n2)
<=> less_or_equal(X11,n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less2) ).
fof(f41,axiom,
! [X11] :
( less(X11,n3)
<=> less_or_equal(X11,n2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less3) ).
fof(f42,axiom,
! [X11] :
( less(X11,n4)
<=> less_or_equal(X11,n3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less4) ).
fof(f48,axiom,
! [X11,X12] :
( less(X11,X12)
<=> ( X11 != X12
& ~ less(X12,X11) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_property) ).
fof(f49,axiom,
holdsAt(waterLevel(n0),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterLevel_0) ).
fof(f55,axiom,
~ releasedAt(filling,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',filling_3_l1) ).
fof(f56,conjecture,
holdsAt(filling,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',filling_3) ).
fof(f57,negated_conjecture,
~ holdsAt(filling,n3),
inference(negated_conjecture,[],[f56]) ).
fof(f59,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(f61,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] :
( initiates(X2,X0,X1)
& happens(X2,X1) )
& ~ releasedAt(X0,plus(X1,n1))
& ~ holdsAt(X0,X1) )
=> ~ holdsAt(X0,plus(X1,n1)) ),
inference(rectify,[],[f6]) ).
fof(f63,plain,
! [X0,X1] :
( ( ~ ? [X2] :
( ( terminates(X2,X0,X1)
| initiates(X2,X0,X1) )
& happens(X2,X1) )
& releasedAt(X0,X1) )
=> releasedAt(X0,plus(X1,n1)) ),
inference(rectify,[],[f7]) ).
fof(f64,plain,
! [X0,X1] :
( ( ~ ? [X2] :
( releases(X2,X0,X1)
& happens(X2,X1) )
& ~ releasedAt(X0,X1) )
=> ~ releasedAt(X0,plus(X1,n1)) ),
inference(rectify,[],[f8]) ).
fof(f65,plain,
! [X0,X1,X2] :
( ( initiates(X0,X2,X1)
& happens(X0,X1) )
=> holdsAt(X2,plus(X1,n1)) ),
inference(rectify,[],[f9]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ( terminates(X0,X2,X1)
& happens(X0,X1) )
=> ~ holdsAt(X2,plus(X1,n1)) ),
inference(rectify,[],[f10]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ( releases(X0,X2,X1)
& happens(X0,X1) )
=> releasedAt(X2,plus(X1,n1)) ),
inference(rectify,[],[f11]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ( ( terminates(X0,X2,X1)
| initiates(X0,X2,X1) )
& happens(X0,X1) )
=> ~ releasedAt(X2,plus(X1,n1)) ),
inference(rectify,[],[f12]) ).
fof(f69,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(f70,plain,
! [X0,X1,X2] :
( terminates(X0,X1,X2)
<=> ( ( filling = X1
& overflow = X0 )
| ( filling = X1
& tapOff = X0 ) ) ),
inference(rectify,[],[f14]) ).
fof(f71,plain,
! [X0,X1,X2] :
( releases(X0,X1,X2)
<=> ? [X3] :
( waterLevel(X3) = X1
& tapOn = X0 ) ),
inference(rectify,[],[f15]) ).
fof(f72,plain,
! [X0,X1] :
( happens(X0,X1)
<=> ( ( overflow = X0
& holdsAt(filling,X1)
& holdsAt(waterLevel(n3),X1) )
| ( n0 = X1
& tapOn = X0 ) ) ),
inference(rectify,[],[f16]) ).
fof(f73,plain,
! [X0,X1,X2,X3] :
( ( plus(X0,X3) = X2
& holdsAt(waterLevel(X0),X1) )
=> trajectory(filling,X1,waterLevel(X2),X3) ),
inference(rectify,[],[f17]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ( holdsAt(waterLevel(X2),X0)
& holdsAt(waterLevel(X1),X0) )
=> X1 = X2 ),
inference(rectify,[],[f18]) ).
fof(f75,plain,
! [X0] : filling != waterLevel(X0),
inference(rectify,[],[f22]) ).
fof(f78,plain,
! [X0,X1] : plus(X0,X1) = plus(X1,X0),
inference(rectify,[],[f36]) ).
fof(f79,plain,
! [X0,X1] :
( less_or_equal(X0,X1)
<=> ( X0 = X1
| less(X0,X1) ) ),
inference(rectify,[],[f37]) ).
fof(f80,plain,
~ ? [X0] : less(X0,n0),
inference(rectify,[],[f38]) ).
fof(f81,plain,
! [X0] :
( less(X0,n1)
<=> less_or_equal(X0,n0) ),
inference(rectify,[],[f39]) ).
fof(f82,plain,
! [X0] :
( less(X0,n2)
<=> less_or_equal(X0,n1) ),
inference(rectify,[],[f40]) ).
fof(f83,plain,
! [X0] :
( less(X0,n3)
<=> less_or_equal(X0,n2) ),
inference(rectify,[],[f41]) ).
fof(f84,plain,
! [X0] :
( less(X0,n4)
<=> less_or_equal(X0,n3) ),
inference(rectify,[],[f42]) ).
fof(f90,plain,
! [X0,X1] :
( less(X0,X1)
<=> ( X0 != X1
& ~ less(X1,X0) ) ),
inference(rectify,[],[f48]) ).
fof(f92,plain,
~ holdsAt(filling,n3),
inference(flattening,[],[f57]) ).
fof(f94,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(f97,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,[],[f94]) ).
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(ennf_transformation,[],[f59]) ).
fof(f99,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,[],[f98]) ).
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(ennf_transformation,[],[f61]) ).
fof(f101,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,[],[f100]) ).
fof(f102,plain,
! [X0,X1] :
( ~ holdsAt(X0,plus(X1,n1))
| ? [X2] :
( initiates(X2,X0,X1)
& happens(X2,X1) )
| releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1) ),
inference(ennf_transformation,[],[f62]) ).
fof(f103,plain,
! [X0,X1] :
( ~ holdsAt(X0,plus(X1,n1))
| ? [X2] :
( initiates(X2,X0,X1)
& happens(X2,X1) )
| releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1) ),
inference(flattening,[],[f102]) ).
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(ennf_transformation,[],[f63]) ).
fof(f105,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,[],[f104]) ).
fof(f106,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| ? [X2] :
( releases(X2,X0,X1)
& happens(X2,X1) )
| releasedAt(X0,X1) ),
inference(ennf_transformation,[],[f64]) ).
fof(f107,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| ? [X2] :
( releases(X2,X0,X1)
& happens(X2,X1) )
| releasedAt(X0,X1) ),
inference(flattening,[],[f106]) ).
fof(f108,plain,
! [X0,X1,X2] :
( holdsAt(X2,plus(X1,n1))
| ~ initiates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(ennf_transformation,[],[f65]) ).
fof(f109,plain,
! [X0,X1,X2] :
( holdsAt(X2,plus(X1,n1))
| ~ initiates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0,X1,X2] :
( ~ holdsAt(X2,plus(X1,n1))
| ~ terminates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(ennf_transformation,[],[f66]) ).
fof(f111,plain,
! [X0,X1,X2] :
( ~ holdsAt(X2,plus(X1,n1))
| ~ terminates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
! [X0,X1,X2] :
( releasedAt(X2,plus(X1,n1))
| ~ releases(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(ennf_transformation,[],[f67]) ).
fof(f113,plain,
! [X0,X1,X2] :
( releasedAt(X2,plus(X1,n1))
| ~ releases(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(flattening,[],[f112]) ).
fof(f114,plain,
! [X0,X1,X2] :
( ~ releasedAt(X2,plus(X1,n1))
| ( ~ terminates(X0,X2,X1)
& ~ initiates(X0,X2,X1) )
| ~ happens(X0,X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ~ releasedAt(X2,plus(X1,n1))
| ( ~ terminates(X0,X2,X1)
& ~ initiates(X0,X2,X1) )
| ~ happens(X0,X1) ),
inference(flattening,[],[f114]) ).
fof(f116,plain,
! [X0,X1,X2,X3] :
( trajectory(filling,X1,waterLevel(X2),X3)
| plus(X0,X3) != X2
| ~ holdsAt(waterLevel(X0),X1) ),
inference(ennf_transformation,[],[f73]) ).
fof(f117,plain,
! [X0,X1,X2,X3] :
( trajectory(filling,X1,waterLevel(X2),X3)
| plus(X0,X3) != X2
| ~ holdsAt(waterLevel(X0),X1) ),
inference(flattening,[],[f116]) ).
fof(f118,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ holdsAt(waterLevel(X2),X0)
| ~ holdsAt(waterLevel(X1),X0) ),
inference(ennf_transformation,[],[f74]) ).
fof(f119,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ holdsAt(waterLevel(X2),X0)
| ~ holdsAt(waterLevel(X1),X0) ),
inference(flattening,[],[f118]) ).
fof(f120,plain,
! [X0] : ~ less(X0,n0),
inference(ennf_transformation,[],[f80]) ).
fof(f121,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(f122,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(f123,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,[],[f69,f122,f121]) ).
fof(f124,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(f125,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])],[f97,f124]) ).
fof(f126,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(f127,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])],[f101,f126]) ).
fof(f128,plain,
! [X0,X1] :
( ? [X2] :
( initiates(X2,X0,X1)
& happens(X2,X1) )
=> ( initiates(sK5(X0,X1),X0,X1)
& happens(sK5(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
! [X0,X1] :
( ~ holdsAt(X0,plus(X1,n1))
| ( initiates(sK5(X0,X1),X0,X1)
& happens(sK5(X0,X1),X1) )
| releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f103,f128]) ).
fof(f130,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(f131,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])],[f105,f130]) ).
fof(f132,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(f133,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])],[f107,f132]) ).
fof(f134,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,[],[f122]) ).
fof(f135,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,[],[f134]) ).
fof(f136,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(f137,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])],[f135,f136]) ).
fof(f138,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,[],[f121]) ).
fof(f139,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,[],[f138]) ).
fof(f140,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(f141,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])],[f139,f140]) ).
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(nnf_transformation,[],[f123]) ).
fof(f143,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,[],[f142]) ).
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(nnf_transformation,[],[f70]) ).
fof(f145,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,[],[f144]) ).
fof(f146,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,[],[f71]) ).
fof(f147,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,[],[f146]) ).
fof(f148,plain,
! [X0,X1] :
( ? [X4] :
( waterLevel(X4) = X1
& tapOn = X0 )
=> ( waterLevel(sK10(X0,X1)) = X1
& tapOn = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f149,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])],[f147,f148]) ).
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(nnf_transformation,[],[f72]) ).
fof(f151,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,[],[f150]) ).
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(nnf_transformation,[],[f79]) ).
fof(f154,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,[],[f153]) ).
fof(f155,plain,
! [X0] :
( ( less(X0,n1)
| ~ less_or_equal(X0,n0) )
& ( less_or_equal(X0,n0)
| ~ less(X0,n1) ) ),
inference(nnf_transformation,[],[f81]) ).
fof(f156,plain,
! [X0] :
( ( less(X0,n2)
| ~ less_or_equal(X0,n1) )
& ( less_or_equal(X0,n1)
| ~ less(X0,n2) ) ),
inference(nnf_transformation,[],[f82]) ).
fof(f157,plain,
! [X0] :
( ( less(X0,n3)
| ~ less_or_equal(X0,n2) )
& ( less_or_equal(X0,n2)
| ~ less(X0,n3) ) ),
inference(nnf_transformation,[],[f83]) ).
fof(f158,plain,
! [X0] :
( ( less(X0,n4)
| ~ less_or_equal(X0,n3) )
& ( less_or_equal(X0,n3)
| ~ less(X0,n4) ) ),
inference(nnf_transformation,[],[f84]) ).
fof(f164,plain,
! [X0,X1] :
( ( less(X0,X1)
| X0 = X1
| less(X1,X0) )
& ( ( X0 != X1
& ~ less(X1,X0) )
| ~ less(X0,X1) ) ),
inference(nnf_transformation,[],[f90]) ).
fof(f165,plain,
! [X0,X1] :
( ( less(X0,X1)
| X0 = X1
| less(X1,X0) )
& ( ( X0 != X1
& ~ less(X1,X0) )
| ~ less(X0,X1) ) ),
inference(flattening,[],[f164]) ).
fof(f166,plain,
! [X2,X0,X1] :
( happens(sK2(X0,X1,X2),sK3(X0,X1,X2))
| ~ stoppedIn(X0,X1,X2) ),
inference(cnf_transformation,[],[f125]) ).
fof(f167,plain,
! [X2,X0,X1] :
( less(X0,sK3(X0,X1,X2))
| ~ stoppedIn(X0,X1,X2) ),
inference(cnf_transformation,[],[f125]) ).
fof(f168,plain,
! [X2,X0,X1] :
( less(sK3(X0,X1,X2),X2)
| ~ stoppedIn(X0,X1,X2) ),
inference(cnf_transformation,[],[f125]) ).
fof(f169,plain,
! [X2,X0,X1] :
( terminates(sK2(X0,X1,X2),X1,sK3(X0,X1,X2))
| ~ stoppedIn(X0,X1,X2) ),
inference(cnf_transformation,[],[f125]) ).
fof(f170,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,[],[f99]) ).
fof(f171,plain,
! [X0,X1] :
( holdsAt(X0,plus(X1,n1))
| happens(sK4(X0,X1),X1)
| releasedAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f172,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,[],[f127]) ).
fof(f173,plain,
! [X0,X1] :
( ~ holdsAt(X0,plus(X1,n1))
| happens(sK5(X0,X1),X1)
| releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f175,plain,
! [X0,X1] :
( releasedAt(X0,plus(X1,n1))
| happens(sK6(X0,X1),X1)
| ~ releasedAt(X0,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f177,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| happens(sK7(X0,X1),X1)
| releasedAt(X0,X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f179,plain,
! [X2,X0,X1] :
( holdsAt(X2,plus(X1,n1))
| ~ initiates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f180,plain,
! [X2,X0,X1] :
( ~ holdsAt(X2,plus(X1,n1))
| ~ terminates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f181,plain,
! [X2,X0,X1] :
( releasedAt(X2,plus(X1,n1))
| ~ releases(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f182,plain,
! [X2,X0,X1] :
( ~ releasedAt(X2,plus(X1,n1))
| ~ initiates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f183,plain,
! [X2,X0,X1] :
( ~ releasedAt(X2,plus(X1,n1))
| ~ terminates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f187,plain,
! [X2,X3,X0,X1] :
( sP1(X0,X1,X2)
| waterLevel(X3) != X0
| overflow != X1
| ~ holdsAt(waterLevel(X3),X2) ),
inference(cnf_transformation,[],[f137]) ).
fof(f190,plain,
! [X2,X0,X1] :
( waterLevel(sK9(X0,X1,X2)) = X0
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f141]) ).
fof(f191,plain,
! [X2,X3,X0,X1] :
( sP0(X0,X1,X2)
| waterLevel(X3) != X0
| tapOff != X1
| ~ holdsAt(waterLevel(X3),X2) ),
inference(cnf_transformation,[],[f141]) ).
fof(f196,plain,
! [X2,X0,X1] :
( initiates(X0,X1,X2)
| filling != X1
| tapOn != X0 ),
inference(cnf_transformation,[],[f143]) ).
fof(f197,plain,
! [X2,X0,X1] :
( initiates(X0,X1,X2)
| spilling != X1
| overflow != X0 ),
inference(cnf_transformation,[],[f143]) ).
fof(f198,plain,
! [X2,X0,X1] :
( initiates(X0,X1,X2)
| ~ sP0(X1,X0,X2) ),
inference(cnf_transformation,[],[f143]) ).
fof(f199,plain,
! [X2,X0,X1] :
( initiates(X0,X1,X2)
| ~ sP1(X1,X0,X2) ),
inference(cnf_transformation,[],[f143]) ).
fof(f200,plain,
! [X2,X0,X1] :
( overflow = X0
| tapOff = X0
| ~ terminates(X0,X1,X2) ),
inference(cnf_transformation,[],[f145]) ).
fof(f205,plain,
! [X2,X0,X1] :
( terminates(X0,X1,X2)
| filling != X1
| overflow != X0 ),
inference(cnf_transformation,[],[f145]) ).
fof(f208,plain,
! [X2,X3,X0,X1] :
( releases(X0,X1,X2)
| waterLevel(X3) != X1
| tapOn != X0 ),
inference(cnf_transformation,[],[f149]) ).
fof(f209,plain,
! [X0,X1] :
( holdsAt(waterLevel(n3),X1)
| tapOn = X0
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f151]) ).
fof(f210,plain,
! [X0,X1] :
( holdsAt(waterLevel(n3),X1)
| n0 = X1
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f151]) ).
fof(f212,plain,
! [X0,X1] :
( holdsAt(filling,X1)
| n0 = X1
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f151]) ).
fof(f213,plain,
! [X0,X1] :
( overflow = X0
| tapOn = X0
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f151]) ).
fof(f214,plain,
! [X0,X1] :
( overflow = X0
| n0 = X1
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f151]) ).
fof(f215,plain,
! [X0,X1] :
( happens(X0,X1)
| n0 != X1
| tapOn != X0 ),
inference(cnf_transformation,[],[f151]) ).
fof(f216,plain,
! [X0,X1] :
( happens(X0,X1)
| overflow != X0
| ~ holdsAt(filling,X1)
| ~ holdsAt(waterLevel(n3),X1) ),
inference(cnf_transformation,[],[f151]) ).
fof(f217,plain,
! [X2,X3,X0,X1] :
( trajectory(filling,X1,waterLevel(X2),X3)
| plus(X0,X3) != X2
| ~ holdsAt(waterLevel(X0),X1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f218,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ holdsAt(waterLevel(X2),X0)
| ~ holdsAt(waterLevel(X1),X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f219,plain,
tapOn != tapOff,
inference(cnf_transformation,[],[f19]) ).
fof(f221,plain,
tapOn != overflow,
inference(cnf_transformation,[],[f21]) ).
fof(f222,plain,
! [X0] : filling != waterLevel(X0),
inference(cnf_transformation,[],[f75]) ).
fof(f228,plain,
n1 = plus(n0,n1),
inference(cnf_transformation,[],[f27]) ).
fof(f229,plain,
n2 = plus(n0,n2),
inference(cnf_transformation,[],[f28]) ).
fof(f230,plain,
n3 = plus(n0,n3),
inference(cnf_transformation,[],[f29]) ).
fof(f231,plain,
n2 = plus(n1,n1),
inference(cnf_transformation,[],[f30]) ).
fof(f232,plain,
n3 = plus(n1,n2),
inference(cnf_transformation,[],[f31]) ).
fof(f233,plain,
plus(n1,n3) = n4,
inference(cnf_transformation,[],[f32]) ).
fof(f237,plain,
! [X0,X1] : plus(X0,X1) = plus(X1,X0),
inference(cnf_transformation,[],[f78]) ).
fof(f238,plain,
! [X0,X1] :
( X0 = X1
| less(X0,X1)
| ~ less_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f239,plain,
! [X0,X1] :
( less_or_equal(X0,X1)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f240,plain,
! [X0,X1] :
( less_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f154]) ).
fof(f241,plain,
! [X0] : ~ less(X0,n0),
inference(cnf_transformation,[],[f120]) ).
fof(f242,plain,
! [X0] :
( less_or_equal(X0,n0)
| ~ less(X0,n1) ),
inference(cnf_transformation,[],[f155]) ).
fof(f243,plain,
! [X0] :
( less(X0,n1)
| ~ less_or_equal(X0,n0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f244,plain,
! [X0] :
( less_or_equal(X0,n1)
| ~ less(X0,n2) ),
inference(cnf_transformation,[],[f156]) ).
fof(f245,plain,
! [X0] :
( less(X0,n2)
| ~ less_or_equal(X0,n1) ),
inference(cnf_transformation,[],[f156]) ).
fof(f246,plain,
! [X0] :
( less_or_equal(X0,n2)
| ~ less(X0,n3) ),
inference(cnf_transformation,[],[f157]) ).
fof(f247,plain,
! [X0] :
( less(X0,n3)
| ~ less_or_equal(X0,n2) ),
inference(cnf_transformation,[],[f157]) ).
fof(f248,plain,
! [X0] :
( less_or_equal(X0,n3)
| ~ less(X0,n4) ),
inference(cnf_transformation,[],[f158]) ).
fof(f249,plain,
! [X0] :
( less(X0,n4)
| ~ less_or_equal(X0,n3) ),
inference(cnf_transformation,[],[f158]) ).
fof(f260,plain,
! [X0,X1] :
( ~ less(X1,X0)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f261,plain,
! [X0,X1] :
( X0 != X1
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f262,plain,
! [X0,X1] :
( less(X0,X1)
| X0 = X1
| less(X1,X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f263,plain,
holdsAt(waterLevel(n0),n0),
inference(cnf_transformation,[],[f49]) ).
fof(f269,plain,
~ releasedAt(filling,n3),
inference(cnf_transformation,[],[f55]) ).
fof(f270,plain,
~ holdsAt(filling,n3),
inference(cnf_transformation,[],[f92]) ).
fof(f271,plain,
! [X2,X3,X1] :
( sP1(waterLevel(X3),X1,X2)
| overflow != X1
| ~ holdsAt(waterLevel(X3),X2) ),
inference(equality_resolution,[],[f187]) ).
fof(f272,plain,
! [X2,X3] :
( sP1(waterLevel(X3),overflow,X2)
| ~ holdsAt(waterLevel(X3),X2) ),
inference(equality_resolution,[],[f271]) ).
fof(f273,plain,
! [X2,X3,X1] :
( sP0(waterLevel(X3),X1,X2)
| tapOff != X1
| ~ holdsAt(waterLevel(X3),X2) ),
inference(equality_resolution,[],[f191]) ).
fof(f274,plain,
! [X2,X3] :
( sP0(waterLevel(X3),tapOff,X2)
| ~ holdsAt(waterLevel(X3),X2) ),
inference(equality_resolution,[],[f273]) ).
fof(f275,plain,
! [X2,X0] :
( initiates(X0,spilling,X2)
| overflow != X0 ),
inference(equality_resolution,[],[f197]) ).
fof(f276,plain,
! [X2] : initiates(overflow,spilling,X2),
inference(equality_resolution,[],[f275]) ).
fof(f277,plain,
! [X2,X0] :
( initiates(X0,filling,X2)
| tapOn != X0 ),
inference(equality_resolution,[],[f196]) ).
fof(f278,plain,
! [X2] : initiates(tapOn,filling,X2),
inference(equality_resolution,[],[f277]) ).
fof(f279,plain,
! [X2,X0] :
( terminates(X0,filling,X2)
| overflow != X0 ),
inference(equality_resolution,[],[f205]) ).
fof(f280,plain,
! [X2] : terminates(overflow,filling,X2),
inference(equality_resolution,[],[f279]) ).
fof(f283,plain,
! [X2,X3,X0] :
( releases(X0,waterLevel(X3),X2)
| tapOn != X0 ),
inference(equality_resolution,[],[f208]) ).
fof(f284,plain,
! [X2,X3] : releases(tapOn,waterLevel(X3),X2),
inference(equality_resolution,[],[f283]) ).
fof(f285,plain,
! [X1] :
( happens(overflow,X1)
| ~ holdsAt(filling,X1)
| ~ holdsAt(waterLevel(n3),X1) ),
inference(equality_resolution,[],[f216]) ).
fof(f286,plain,
! [X0] :
( happens(X0,n0)
| tapOn != X0 ),
inference(equality_resolution,[],[f215]) ).
fof(f287,plain,
happens(tapOn,n0),
inference(equality_resolution,[],[f286]) ).
fof(f288,plain,
! [X3,X0,X1] :
( trajectory(filling,X1,waterLevel(plus(X0,X3)),X3)
| ~ holdsAt(waterLevel(X0),X1) ),
inference(equality_resolution,[],[f217]) ).
fof(f290,plain,
! [X1] : less_or_equal(X1,X1),
inference(equality_resolution,[],[f240]) ).
fof(f291,plain,
! [X1] : ~ less(X1,X1),
inference(equality_resolution,[],[f261]) ).
cnf(c_49,plain,
( ~ stoppedIn(X0,X1,X2)
| terminates(sK2(X0,X1,X2),X1,sK3(X0,X1,X2)) ),
inference(cnf_transformation,[],[f169]) ).
cnf(c_50,plain,
( ~ stoppedIn(X0,X1,X2)
| less(sK3(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f168]) ).
cnf(c_51,plain,
( ~ stoppedIn(X0,X1,X2)
| less(X0,sK3(X0,X1,X2)) ),
inference(cnf_transformation,[],[f167]) ).
cnf(c_52,plain,
( ~ stoppedIn(X0,X1,X2)
| happens(sK2(X0,X1,X2),sK3(X0,X1,X2)) ),
inference(cnf_transformation,[],[f166]) ).
cnf(c_53,plain,
( ~ trajectory(X0,X1,X2,X3)
| ~ initiates(X4,X0,X1)
| ~ happens(X4,X1)
| ~ less(n0,X3)
| stoppedIn(X1,X0,plus(X1,X3))
| holdsAt(X2,plus(X1,X3)) ),
inference(cnf_transformation,[],[f170]) ).
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,[],[f172]) ).
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,[],[f171]) ).
cnf(c_57,plain,
( ~ holdsAt(X0,plus(X1,n1))
| happens(sK5(X0,X1),X1)
| releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1) ),
inference(cnf_transformation,[],[f173]) ).
cnf(c_59,plain,
( ~ releasedAt(X0,X1)
| happens(sK6(X0,X1),X1)
| releasedAt(X0,plus(X1,n1)) ),
inference(cnf_transformation,[],[f175]) ).
cnf(c_61,plain,
( ~ releasedAt(X0,plus(X1,n1))
| happens(sK7(X0,X1),X1)
| releasedAt(X0,X1) ),
inference(cnf_transformation,[],[f177]) ).
cnf(c_62,plain,
( ~ initiates(X0,X1,X2)
| ~ happens(X0,X2)
| holdsAt(X1,plus(X2,n1)) ),
inference(cnf_transformation,[],[f179]) ).
cnf(c_63,plain,
( ~ holdsAt(X0,plus(X1,n1))
| ~ terminates(X2,X0,X1)
| ~ happens(X2,X1) ),
inference(cnf_transformation,[],[f180]) ).
cnf(c_64,plain,
( ~ releases(X0,X1,X2)
| ~ happens(X0,X2)
| releasedAt(X1,plus(X2,n1)) ),
inference(cnf_transformation,[],[f181]) ).
cnf(c_65,plain,
( ~ releasedAt(X0,plus(X1,n1))
| ~ terminates(X2,X0,X1)
| ~ happens(X2,X1) ),
inference(cnf_transformation,[],[f183]) ).
cnf(c_66,plain,
( ~ releasedAt(X0,plus(X1,n1))
| ~ initiates(X2,X0,X1)
| ~ happens(X2,X1) ),
inference(cnf_transformation,[],[f182]) ).
cnf(c_67,plain,
( ~ holdsAt(waterLevel(X0),X1)
| sP1(waterLevel(X0),overflow,X1) ),
inference(cnf_transformation,[],[f272]) ).
cnf(c_71,plain,
( ~ holdsAt(waterLevel(X0),X1)
| sP0(waterLevel(X0),tapOff,X1) ),
inference(cnf_transformation,[],[f274]) ).
cnf(c_72,plain,
( ~ sP0(X0,X1,X2)
| waterLevel(sK9(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f190]) ).
cnf(c_75,plain,
( ~ sP1(X0,X1,X2)
| initiates(X1,X0,X2) ),
inference(cnf_transformation,[],[f199]) ).
cnf(c_76,plain,
( ~ sP0(X0,X1,X2)
| initiates(X1,X0,X2) ),
inference(cnf_transformation,[],[f198]) ).
cnf(c_77,plain,
initiates(overflow,spilling,X0),
inference(cnf_transformation,[],[f276]) ).
cnf(c_78,plain,
initiates(tapOn,filling,X0),
inference(cnf_transformation,[],[f278]) ).
cnf(c_83,plain,
terminates(overflow,filling,X0),
inference(cnf_transformation,[],[f280]) ).
cnf(c_85,plain,
( ~ terminates(X0,X1,X2)
| X1 = filling ),
inference(cnf_transformation,[],[f292]) ).
cnf(c_88,plain,
( ~ terminates(X0,X1,X2)
| X0 = overflow
| X0 = tapOff ),
inference(cnf_transformation,[],[f200]) ).
cnf(c_89,plain,
releases(tapOn,waterLevel(X0),X1),
inference(cnf_transformation,[],[f284]) ).
cnf(c_92,plain,
( ~ holdsAt(waterLevel(n3),X0)
| ~ holdsAt(filling,X0)
| happens(overflow,X0) ),
inference(cnf_transformation,[],[f285]) ).
cnf(c_93,plain,
happens(tapOn,n0),
inference(cnf_transformation,[],[f287]) ).
cnf(c_94,plain,
( ~ happens(X0,X1)
| X0 = overflow
| X1 = n0 ),
inference(cnf_transformation,[],[f214]) ).
cnf(c_95,plain,
( ~ happens(X0,X1)
| X0 = overflow
| X0 = tapOn ),
inference(cnf_transformation,[],[f213]) ).
cnf(c_96,plain,
( ~ happens(X0,X1)
| X1 = n0
| holdsAt(filling,X1) ),
inference(cnf_transformation,[],[f212]) ).
cnf(c_98,plain,
( ~ happens(X0,X1)
| X1 = n0
| holdsAt(waterLevel(n3),X1) ),
inference(cnf_transformation,[],[f210]) ).
cnf(c_99,plain,
( ~ happens(X0,X1)
| X0 = tapOn
| holdsAt(waterLevel(n3),X1) ),
inference(cnf_transformation,[],[f209]) ).
cnf(c_100,plain,
( ~ holdsAt(waterLevel(X0),X1)
| trajectory(filling,X1,waterLevel(plus(X0,X2)),X2) ),
inference(cnf_transformation,[],[f288]) ).
cnf(c_101,plain,
( ~ holdsAt(waterLevel(X0),X1)
| ~ holdsAt(waterLevel(X2),X1)
| X0 = X2 ),
inference(cnf_transformation,[],[f218]) ).
cnf(c_102,plain,
tapOff != tapOn,
inference(cnf_transformation,[],[f219]) ).
cnf(c_104,plain,
overflow != tapOn,
inference(cnf_transformation,[],[f221]) ).
cnf(c_105,plain,
waterLevel(X0) != filling,
inference(cnf_transformation,[],[f222]) ).
cnf(c_110,plain,
plus(n0,n1) = n1,
inference(cnf_transformation,[],[f228]) ).
cnf(c_111,plain,
plus(n0,n2) = n2,
inference(cnf_transformation,[],[f229]) ).
cnf(c_112,plain,
plus(n0,n3) = n3,
inference(cnf_transformation,[],[f230]) ).
cnf(c_113,plain,
plus(n1,n1) = n2,
inference(cnf_transformation,[],[f231]) ).
cnf(c_114,plain,
plus(n1,n2) = n3,
inference(cnf_transformation,[],[f232]) ).
cnf(c_115,plain,
plus(n1,n3) = n4,
inference(cnf_transformation,[],[f233]) ).
cnf(c_119,plain,
plus(X0,X1) = plus(X1,X0),
inference(cnf_transformation,[],[f237]) ).
cnf(c_120,plain,
less_or_equal(X0,X0),
inference(cnf_transformation,[],[f290]) ).
cnf(c_121,plain,
( ~ less(X0,X1)
| less_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f239]) ).
cnf(c_122,plain,
( ~ less_or_equal(X0,X1)
| X0 = X1
| less(X0,X1) ),
inference(cnf_transformation,[],[f238]) ).
cnf(c_123,plain,
~ less(X0,n0),
inference(cnf_transformation,[],[f241]) ).
cnf(c_124,plain,
( ~ less_or_equal(X0,n0)
| less(X0,n1) ),
inference(cnf_transformation,[],[f243]) ).
cnf(c_125,plain,
( ~ less(X0,n1)
| less_or_equal(X0,n0) ),
inference(cnf_transformation,[],[f242]) ).
cnf(c_126,plain,
( ~ less_or_equal(X0,n1)
| less(X0,n2) ),
inference(cnf_transformation,[],[f245]) ).
cnf(c_127,plain,
( ~ less(X0,n2)
| less_or_equal(X0,n1) ),
inference(cnf_transformation,[],[f244]) ).
cnf(c_128,plain,
( ~ less_or_equal(X0,n2)
| less(X0,n3) ),
inference(cnf_transformation,[],[f247]) ).
cnf(c_129,plain,
( ~ less(X0,n3)
| less_or_equal(X0,n2) ),
inference(cnf_transformation,[],[f246]) ).
cnf(c_130,plain,
( ~ less_or_equal(X0,n3)
| less(X0,n4) ),
inference(cnf_transformation,[],[f249]) ).
cnf(c_131,plain,
( ~ less(X0,n4)
| less_or_equal(X0,n3) ),
inference(cnf_transformation,[],[f248]) ).
cnf(c_142,plain,
( X0 = X1
| less(X0,X1)
| less(X1,X0) ),
inference(cnf_transformation,[],[f262]) ).
cnf(c_143,plain,
~ less(X0,X0),
inference(cnf_transformation,[],[f291]) ).
cnf(c_144,plain,
( ~ less(X0,X1)
| ~ less(X1,X0) ),
inference(cnf_transformation,[],[f260]) ).
cnf(c_145,plain,
holdsAt(waterLevel(n0),n0),
inference(cnf_transformation,[],[f263]) ).
cnf(c_151,plain,
~ releasedAt(filling,n3),
inference(cnf_transformation,[],[f269]) ).
cnf(c_152,negated_conjecture,
~ holdsAt(filling,n3),
inference(cnf_transformation,[],[f270]) ).
cnf(c_153,plain,
less_or_equal(n1,n1),
inference(instantiation,[status(thm)],[c_120]) ).
cnf(c_154,plain,
~ less(n1,n1),
inference(instantiation,[status(thm)],[c_143]) ).
cnf(c_178,plain,
( ~ less_or_equal(n1,n1)
| less(n1,n2) ),
inference(instantiation,[status(thm)],[c_126]) ).
cnf(c_187,plain,
( n1 = n1
| less(n1,n1) ),
inference(instantiation,[status(thm)],[c_142]) ).
cnf(c_231,plain,
( less_or_equal(X0,n0)
| ~ less(X0,n1) ),
inference(prop_impl_just,[status(thm)],[c_125]) ).
cnf(c_232,plain,
( ~ less(X0,n1)
| less_or_equal(X0,n0) ),
inference(renaming,[status(thm)],[c_231]) ).
cnf(c_233,plain,
( ~ less_or_equal(X0,n0)
| less(X0,n1) ),
inference(prop_impl_just,[status(thm)],[c_124]) ).
cnf(c_235,plain,
( less_or_equal(X0,n1)
| ~ less(X0,n2) ),
inference(prop_impl_just,[status(thm)],[c_127]) ).
cnf(c_236,plain,
( ~ less(X0,n2)
| less_or_equal(X0,n1) ),
inference(renaming,[status(thm)],[c_235]) ).
cnf(c_239,plain,
( less_or_equal(X0,n2)
| ~ less(X0,n3) ),
inference(prop_impl_just,[status(thm)],[c_129]) ).
cnf(c_240,plain,
( ~ less(X0,n3)
| less_or_equal(X0,n2) ),
inference(renaming,[status(thm)],[c_239]) ).
cnf(c_241,plain,
( ~ less_or_equal(X0,n2)
| less(X0,n3) ),
inference(prop_impl_just,[status(thm)],[c_128]) ).
cnf(c_243,plain,
( less_or_equal(X0,n3)
| ~ less(X0,n4) ),
inference(prop_impl_just,[status(thm)],[c_131]) ).
cnf(c_244,plain,
( ~ less(X0,n4)
| less_or_equal(X0,n3) ),
inference(renaming,[status(thm)],[c_243]) ).
cnf(c_245,plain,
( ~ less_or_equal(X0,n3)
| less(X0,n4) ),
inference(prop_impl_just,[status(thm)],[c_130]) ).
cnf(c_283,plain,
( ~ holdsAt(waterLevel(X0),X1)
| trajectory(filling,X1,waterLevel(plus(X0,X2)),X2) ),
inference(prop_impl_just,[status(thm)],[c_100]) ).
cnf(c_305,plain,
( ~ less(X0,X1)
| less_or_equal(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_121]) ).
cnf(c_1022,plain,
plus(n1,n0) = n1,
inference(demodulation,[status(thm)],[c_110,c_119]) ).
cnf(c_1319,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_283]) ).
cnf(c_1320,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_1319]) ).
cnf(c_1380,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_1381,plain,
( ~ happens(tapOn,X0)
| releasedAt(waterLevel(X1),plus(X0,n1)) ),
inference(unflattening,[status(thm)],[c_1380]) ).
cnf(c_2727,plain,
( X0 != X1
| X0 != n0
| less(X1,n1) ),
inference(resolution_lifted,[status(thm)],[c_120,c_233]) ).
cnf(c_2728,plain,
less(n0,n1),
inference(unflattening,[status(thm)],[c_2727]) ).
cnf(c_2774,plain,
( X0 != X1
| X2 != n0
| ~ less(X1,n1)
| X0 = X2
| less(X0,X2) ),
inference(resolution_lifted,[status(thm)],[c_122,c_232]) ).
cnf(c_2775,plain,
( ~ less(X0,n1)
| X0 = n0
| less(X0,n0) ),
inference(unflattening,[status(thm)],[c_2774]) ).
cnf(c_2776,plain,
( X0 = n0
| ~ less(X0,n1) ),
inference(global_subsumption_just,[status(thm)],[c_2775,c_123,c_2775]) ).
cnf(c_2777,plain,
( ~ less(X0,n1)
| X0 = n0 ),
inference(renaming,[status(thm)],[c_2776]) ).
cnf(c_2804,plain,
( X0 != X1
| X2 != n2
| ~ less(X0,X2)
| less(X1,n3) ),
inference(resolution_lifted,[status(thm)],[c_305,c_241]) ).
cnf(c_2805,plain,
( ~ less(X0,n2)
| less(X0,n3) ),
inference(unflattening,[status(thm)],[c_2804]) ).
cnf(c_2806,plain,
( ~ less(n1,n2)
| less(n1,n3) ),
inference(instantiation,[status(thm)],[c_2805]) ).
cnf(c_2824,plain,
( X0 != X1
| X2 != n3
| ~ less(X0,X2)
| less(X1,n4) ),
inference(resolution_lifted,[status(thm)],[c_305,c_245]) ).
cnf(c_2825,plain,
( ~ less(X0,n3)
| less(X0,n4) ),
inference(unflattening,[status(thm)],[c_2824]) ).
cnf(c_2826,plain,
( ~ less(n1,n3)
| less(n1,n4) ),
inference(instantiation,[status(thm)],[c_2825]) ).
cnf(c_2952,plain,
( X0 != X1
| n0 != n1
| ~ less(X1,n2)
| less(X0,n1) ),
inference(resolution_lifted,[status(thm)],[c_233,c_236]) ).
cnf(c_2953,plain,
( n0 != n1
| ~ less(X0,n2)
| less(X0,n1) ),
inference(unflattening,[status(thm)],[c_2952]) ).
cnf(c_2954,plain,
( n0 != n1
| ~ less(n1,n2)
| less(n1,n1) ),
inference(instantiation,[status(thm)],[c_2953]) ).
cnf(c_2970,plain,
( X0 != X1
| n0 != n2
| ~ less(X1,n3)
| less(X0,n1) ),
inference(resolution_lifted,[status(thm)],[c_233,c_240]) ).
cnf(c_2971,plain,
( n0 != n2
| ~ less(X0,n3)
| less(X0,n1) ),
inference(unflattening,[status(thm)],[c_2970]) ).
cnf(c_2972,plain,
( n0 != n2
| ~ less(n1,n3)
| less(n1,n1) ),
inference(instantiation,[status(thm)],[c_2971]) ).
cnf(c_2988,plain,
( X0 != X1
| n0 != n3
| ~ less(X1,n4)
| less(X0,n1) ),
inference(resolution_lifted,[status(thm)],[c_233,c_244]) ).
cnf(c_2989,plain,
( n0 != n3
| ~ less(X0,n4)
| less(X0,n1) ),
inference(unflattening,[status(thm)],[c_2988]) ).
cnf(c_2990,plain,
( n0 != n3
| ~ less(n1,n4)
| less(n1,n1) ),
inference(instantiation,[status(thm)],[c_2989]) ).
cnf(c_5386,plain,
( ~ happens(tapOn,X0)
| releasedAt(waterLevel(X1),plus(X0,n1)) ),
inference(prop_impl_just,[status(thm)],[c_1381]) ).
cnf(c_9985,negated_conjecture,
~ holdsAt(filling,n3),
inference(demodulation,[status(thm)],[c_152]) ).
cnf(c_9991,plain,
( X0 != X1
| X2 != X3
| ~ less(X1,X3)
| less(X0,X2) ),
theory(equality) ).
cnf(c_11665,plain,
less(n0,n1),
inference(superposition,[status(thm)],[c_120,c_124]) ).
cnf(c_11940,plain,
( ~ holdsAt(waterLevel(X0),X1)
| initiates(overflow,waterLevel(X0),X1) ),
inference(superposition,[status(thm)],[c_67,c_75]) ).
cnf(c_11948,plain,
( ~ holdsAt(waterLevel(X0),X1)
| initiates(tapOff,waterLevel(X0),X1) ),
inference(superposition,[status(thm)],[c_71,c_76]) ).
cnf(c_12076,plain,
( ~ happens(tapOn,X0)
| releasedAt(waterLevel(X1),plus(n1,X0)) ),
inference(superposition,[status(thm)],[c_119,c_5386]) ).
cnf(c_12094,plain,
( ~ stoppedIn(X0,X1,n1)
| less_or_equal(sK3(X0,X1,n1),n0) ),
inference(superposition,[status(thm)],[c_50,c_125]) ).
cnf(c_12376,plain,
( ~ holdsAt(waterLevel(X0),X1)
| waterLevel(sK9(waterLevel(X0),tapOff,X1)) = waterLevel(X0) ),
inference(superposition,[status(thm)],[c_71,c_72]) ).
cnf(c_12448,plain,
( ~ releasedAt(X0,n1)
| happens(sK6(X0,n1),n1)
| releasedAt(X0,n2) ),
inference(superposition,[status(thm)],[c_113,c_59]) ).
cnf(c_12449,plain,
( ~ releasedAt(X0,X1)
| happens(sK6(X0,X1),X1)
| releasedAt(X0,plus(n1,X1)) ),
inference(superposition,[status(thm)],[c_119,c_59]) ).
cnf(c_12497,plain,
( ~ releasedAt(X0,plus(n1,X1))
| happens(sK7(X0,X1),X1)
| releasedAt(X0,X1) ),
inference(superposition,[status(thm)],[c_119,c_61]) ).
cnf(c_12525,plain,
( ~ happens(overflow,X0)
| holdsAt(spilling,plus(X0,n1)) ),
inference(superposition,[status(thm)],[c_77,c_62]) ).
cnf(c_12526,plain,
( ~ happens(tapOn,X0)
| holdsAt(filling,plus(X0,n1)) ),
inference(superposition,[status(thm)],[c_78,c_62]) ).
cnf(c_12593,plain,
( ~ happens(overflow,X0)
| holdsAt(spilling,plus(n1,X0)) ),
inference(superposition,[status(thm)],[c_119,c_12525]) ).
cnf(c_12608,plain,
( ~ happens(tapOn,X0)
| holdsAt(filling,plus(n1,X0)) ),
inference(superposition,[status(thm)],[c_119,c_12526]) ).
cnf(c_12688,plain,
( ~ terminates(X0,X1,n1)
| ~ happens(X0,n1)
| ~ holdsAt(X1,n2) ),
inference(superposition,[status(thm)],[c_113,c_63]) ).
cnf(c_12689,plain,
( ~ holdsAt(X0,plus(n1,X1))
| ~ terminates(X2,X0,X1)
| ~ happens(X2,X1) ),
inference(superposition,[status(thm)],[c_119,c_63]) ).
cnf(c_12760,plain,
( ~ initiates(X0,X1,n1)
| ~ happens(X0,n1)
| ~ releasedAt(X1,n2) ),
inference(superposition,[status(thm)],[c_113,c_66]) ).
cnf(c_12798,plain,
( ~ happens(tapOn,n0)
| holdsAt(filling,n1) ),
inference(superposition,[status(thm)],[c_1022,c_12608]) ).
cnf(c_12800,plain,
holdsAt(filling,n1),
inference(forward_subsumption_resolution,[status(thm)],[c_12798,c_93]) ).
cnf(c_12828,plain,
( ~ holdsAt(waterLevel(X0),X1)
| ~ happens(overflow,X1)
| holdsAt(waterLevel(X0),plus(X1,n1)) ),
inference(superposition,[status(thm)],[c_11940,c_62]) ).
cnf(c_12838,plain,
( ~ holdsAt(waterLevel(X0),X1)
| ~ happens(tapOff,X1)
| holdsAt(waterLevel(X0),plus(X1,n1)) ),
inference(superposition,[status(thm)],[c_11948,c_62]) ).
cnf(c_12942,plain,
( X0 != X1
| X2 != n3
| ~ less(X1,n3)
| less(X0,X2) ),
inference(instantiation,[status(thm)],[c_9991]) ).
cnf(c_12943,plain,
( n1 != n1
| n1 != n3
| ~ less(n1,n3)
| less(n1,n1) ),
inference(instantiation,[status(thm)],[c_12942]) ).
cnf(c_13013,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_13014,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_13025,plain,
( ~ holdsAt(X0,n1)
| happens(sK4(X0,n1),n1)
| holdsAt(X0,n2)
| releasedAt(X0,n2) ),
inference(light_normalisation,[status(thm)],[c_13013,c_113]) ).
cnf(c_13100,plain,
( ~ happens(overflow,n1)
| happens(sK5(spilling,n1),n1)
| releasedAt(spilling,plus(n1,n1))
| holdsAt(spilling,n1) ),
inference(superposition,[status(thm)],[c_12593,c_57]) ).
cnf(c_13110,plain,
( ~ happens(overflow,n1)
| happens(sK5(spilling,n1),n1)
| holdsAt(spilling,n1)
| releasedAt(spilling,n2) ),
inference(light_normalisation,[status(thm)],[c_13100,c_113]) ).
cnf(c_13162,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_13262,plain,
( ~ happens(tapOn,n0)
| releasedAt(waterLevel(X0),n1) ),
inference(superposition,[status(thm)],[c_1022,c_12076]) ).
cnf(c_13266,plain,
releasedAt(waterLevel(X0),n1),
inference(forward_subsumption_resolution,[status(thm)],[c_13262,c_93]) ).
cnf(c_13825,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_1320]) ).
cnf(c_15735,plain,
( X0 != n0
| X1 != n1
| ~ less(n0,n1)
| less(X0,X1) ),
inference(instantiation,[status(thm)],[c_9991]) ).
cnf(c_15736,plain,
( n1 != n0
| n1 != n1
| ~ less(n0,n1)
| less(n1,n1) ),
inference(instantiation,[status(thm)],[c_15735]) ).
cnf(c_16813,plain,
( ~ stoppedIn(X0,X1,n1)
| sK3(X0,X1,n1) = n0
| less(sK3(X0,X1,n1),n0) ),
inference(superposition,[status(thm)],[c_12094,c_122]) ).
cnf(c_16817,plain,
( ~ stoppedIn(X0,X1,n1)
| sK3(X0,X1,n1) = n0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_16813,c_123]) ).
cnf(c_18490,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_13825]) ).
cnf(c_28524,plain,
( ~ releasedAt(X0,n1)
| n0 = n1
| holdsAt(waterLevel(n3),n1)
| releasedAt(X0,n2) ),
inference(superposition,[status(thm)],[c_12448,c_98]) ).
cnf(c_28526,plain,
( ~ releasedAt(X0,n1)
| sK6(X0,n1) = overflow
| n0 = n1
| releasedAt(X0,n2) ),
inference(superposition,[status(thm)],[c_12448,c_94]) ).
cnf(c_31884,plain,
( ~ happens(overflow,n1)
| ~ holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_83,c_12688]) ).
cnf(c_32184,plain,
( ~ happens(overflow,n1)
| ~ releasedAt(spilling,n2) ),
inference(superposition,[status(thm)],[c_77,c_12760]) ).
cnf(c_32186,plain,
( ~ holdsAt(waterLevel(X0),n1)
| ~ releasedAt(waterLevel(X0),n2)
| ~ happens(overflow,n1) ),
inference(superposition,[status(thm)],[c_11940,c_12760]) ).
cnf(c_32493,plain,
( ~ releasedAt(X0,n2)
| happens(sK6(X0,n2),n2)
| releasedAt(X0,n3) ),
inference(superposition,[status(thm)],[c_114,c_12449]) ).
cnf(c_32494,plain,
( ~ releasedAt(X0,n3)
| happens(sK6(X0,n3),n3)
| releasedAt(X0,n4) ),
inference(superposition,[status(thm)],[c_115,c_12449]) ).
cnf(c_32582,plain,
( ~ releasedAt(X0,n2)
| n0 = n2
| holdsAt(waterLevel(n3),n2)
| releasedAt(X0,n3) ),
inference(superposition,[status(thm)],[c_32493,c_98]) ).
cnf(c_32586,plain,
( ~ releasedAt(X0,n2)
| n0 = n2
| releasedAt(X0,n3)
| holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_32493,c_96]) ).
cnf(c_32628,plain,
( ~ releasedAt(X0,n3)
| n0 = n3
| releasedAt(X0,n4)
| holdsAt(filling,n3) ),
inference(superposition,[status(thm)],[c_32494,c_96]) ).
cnf(c_32629,plain,
( ~ releasedAt(X0,n3)
| n0 = n3
| releasedAt(X0,n4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32628,c_9985]) ).
cnf(c_32698,plain,
( ~ releasedAt(X0,n3)
| releasedAt(X0,n4) ),
inference(global_subsumption_just,[status(thm)],[c_32629,c_153,c_154,c_178,c_2806,c_2826,c_2990,c_32629]) ).
cnf(c_33077,plain,
( ~ releasedAt(X0,n3)
| happens(sK7(X0,n2),n2)
| releasedAt(X0,n2) ),
inference(superposition,[status(thm)],[c_114,c_12497]) ).
cnf(c_33078,plain,
( ~ releasedAt(X0,n4)
| happens(sK7(X0,n3),n3)
| releasedAt(X0,n3) ),
inference(superposition,[status(thm)],[c_115,c_12497]) ).
cnf(c_33108,plain,
( ~ releasedAt(X0,n3)
| n0 = n2
| holdsAt(waterLevel(n3),n2)
| releasedAt(X0,n2) ),
inference(superposition,[status(thm)],[c_33077,c_98]) ).
cnf(c_33112,plain,
( ~ releasedAt(X0,n3)
| n0 = n2
| releasedAt(X0,n2)
| holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_33077,c_96]) ).
cnf(c_33154,plain,
( ~ releasedAt(X0,n4)
| n0 = n3
| releasedAt(X0,n3)
| holdsAt(filling,n3) ),
inference(superposition,[status(thm)],[c_33078,c_96]) ).
cnf(c_33155,plain,
( ~ releasedAt(X0,n4)
| n0 = n3
| releasedAt(X0,n3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33154,c_9985]) ).
cnf(c_33227,plain,
( ~ releasedAt(X0,n4)
| releasedAt(X0,n3) ),
inference(global_subsumption_just,[status(thm)],[c_33155,c_153,c_154,c_178,c_2806,c_2826,c_2990,c_33155]) ).
cnf(c_39733,plain,
( ~ releasedAt(X0,n2)
| releasedAt(X0,n3)
| holdsAt(filling,n2) ),
inference(global_subsumption_just,[status(thm)],[c_32586,c_153,c_154,c_178,c_2806,c_2972,c_32586]) ).
cnf(c_39746,plain,
( ~ releasedAt(X0,n3)
| releasedAt(X0,n2)
| holdsAt(filling,n2) ),
inference(global_subsumption_just,[status(thm)],[c_33112,c_153,c_154,c_178,c_2806,c_2972,c_33112]) ).
cnf(c_44043,plain,
( ~ terminates(X0,X1,n0)
| ~ happens(X0,n0)
| ~ holdsAt(X1,n1) ),
inference(superposition,[status(thm)],[c_1022,c_12689]) ).
cnf(c_44168,plain,
( ~ happens(overflow,n0)
| ~ holdsAt(filling,n1) ),
inference(superposition,[status(thm)],[c_83,c_44043]) ).
cnf(c_44170,plain,
~ happens(overflow,n0),
inference(forward_subsumption_resolution,[status(thm)],[c_44168,c_12800]) ).
cnf(c_45997,plain,
( ~ holdsAt(waterLevel(X0),n1)
| ~ happens(overflow,n1)
| holdsAt(waterLevel(X0),n2) ),
inference(superposition,[status(thm)],[c_113,c_12828]) ).
cnf(c_45998,plain,
( ~ holdsAt(waterLevel(X0),X1)
| ~ happens(overflow,X1)
| holdsAt(waterLevel(X0),plus(n1,X1)) ),
inference(superposition,[status(thm)],[c_119,c_12828]) ).
cnf(c_46153,plain,
( ~ holdsAt(waterLevel(X0),n1)
| ~ happens(tapOff,n1)
| holdsAt(waterLevel(X0),n2) ),
inference(superposition,[status(thm)],[c_113,c_12838]) ).
cnf(c_46154,plain,
( ~ holdsAt(waterLevel(X0),X1)
| ~ happens(tapOff,X1)
| holdsAt(waterLevel(X0),plus(n1,X1)) ),
inference(superposition,[status(thm)],[c_119,c_12838]) ).
cnf(c_46821,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_1022,c_18490]) ).
cnf(c_46926,plain,
( ~ holdsAt(waterLevel(X0),n0)
| holdsAt(waterLevel(plus(X0,n1)),plus(n0,n1))
| stoppedIn(n0,filling,n1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46821,c_93,c_11665]) ).
cnf(c_78810,plain,
( ~ holdsAt(X0,n1)
| n0 = n1
| holdsAt(waterLevel(n3),n1)
| holdsAt(X0,n2)
| releasedAt(X0,n2) ),
inference(superposition,[status(thm)],[c_13025,c_98]) ).
cnf(c_78969,plain,
( holdsAt(spilling,n1)
| happens(sK5(spilling,n1),n1)
| ~ happens(overflow,n1) ),
inference(global_subsumption_just,[status(thm)],[c_13110,c_13110,c_32184]) ).
cnf(c_78970,plain,
( ~ happens(overflow,n1)
| happens(sK5(spilling,n1),n1)
| holdsAt(spilling,n1) ),
inference(renaming,[status(thm)],[c_78969]) ).
cnf(c_78977,plain,
( ~ happens(overflow,n1)
| sK5(spilling,n1) = tapOn
| holdsAt(waterLevel(n3),n1)
| holdsAt(spilling,n1) ),
inference(superposition,[status(thm)],[c_78970,c_99]) ).
cnf(c_84509,plain,
( ~ releasedAt(X0,n1)
| holdsAt(waterLevel(n3),n1)
| releasedAt(X0,n2) ),
inference(global_subsumption_just,[status(thm)],[c_28524,c_153,c_154,c_178,c_2954,c_28524]) ).
cnf(c_84519,plain,
( ~ releasedAt(X0,n1)
| holdsAt(waterLevel(n3),n1)
| releasedAt(X0,n3)
| holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_84509,c_39733]) ).
cnf(c_84523,plain,
( ~ releasedAt(X0,n1)
| ~ holdsAt(filling,n1)
| releasedAt(X0,n2)
| happens(overflow,n1) ),
inference(superposition,[status(thm)],[c_84509,c_92]) ).
cnf(c_84525,plain,
( ~ releasedAt(X0,n1)
| ~ happens(overflow,n1)
| holdsAt(waterLevel(n3),n2)
| releasedAt(X0,n2) ),
inference(superposition,[status(thm)],[c_84509,c_45997]) ).
cnf(c_84526,plain,
( ~ releasedAt(X0,n1)
| releasedAt(X0,n2)
| happens(overflow,n1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84523,c_12800]) ).
cnf(c_84565,plain,
( releasedAt(waterLevel(X0),n2)
| happens(overflow,n1) ),
inference(superposition,[status(thm)],[c_13266,c_84526]) ).
cnf(c_84574,plain,
( releasedAt(waterLevel(X0),n3)
| happens(overflow,n1)
| holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_84565,c_39733]) ).
cnf(c_84586,plain,
( releasedAt(waterLevel(X0),n4)
| happens(overflow,n1)
| holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_84574,c_32698]) ).
cnf(c_84590,plain,
( releasedAt(waterLevel(n1),n4)
| happens(overflow,n1)
| holdsAt(filling,n2) ),
inference(instantiation,[status(thm)],[c_84586]) ).
cnf(c_85165,plain,
( ~ releasedAt(X0,n3)
| holdsAt(waterLevel(n3),n2)
| releasedAt(X0,n2) ),
inference(global_subsumption_just,[status(thm)],[c_33108,c_153,c_154,c_178,c_2806,c_2972,c_33108]) ).
cnf(c_85181,plain,
( ~ releasedAt(X0,n3)
| ~ holdsAt(filling,n2)
| releasedAt(X0,n2)
| happens(overflow,n2) ),
inference(superposition,[status(thm)],[c_85165,c_92]) ).
cnf(c_85226,plain,
( ~ releasedAt(X0,n3)
| releasedAt(X0,n2)
| happens(overflow,n2) ),
inference(global_subsumption_just,[status(thm)],[c_85181,c_153,c_154,c_178,c_2806,c_2972,c_33112,c_85181]) ).
cnf(c_89286,plain,
( ~ holdsAt(waterLevel(X0),n2)
| ~ happens(overflow,n2)
| holdsAt(waterLevel(X0),n3) ),
inference(superposition,[status(thm)],[c_114,c_45998]) ).
cnf(c_89481,plain,
( ~ holdsAt(waterLevel(X0),n2)
| ~ happens(tapOff,n2)
| holdsAt(waterLevel(X0),n3) ),
inference(superposition,[status(thm)],[c_114,c_46154]) ).
cnf(c_104925,plain,
( ~ holdsAt(waterLevel(X0),X1)
| initiates(overflow,waterLevel(X0),X1) ),
inference(superposition,[status(thm)],[c_67,c_75]) ).
cnf(c_104959,plain,
( X0 = n1
| less(n1,X0)
| less_or_equal(X0,n0) ),
inference(superposition,[status(thm)],[c_142,c_125]) ).
cnf(c_105011,plain,
( ~ happens(tapOn,X0)
| releasedAt(waterLevel(X1),plus(n1,X0)) ),
inference(superposition,[status(thm)],[c_119,c_5386]) ).
cnf(c_105049,plain,
( ~ stoppedIn(X0,X1,n2)
| less_or_equal(sK3(X0,X1,n2),n1) ),
inference(superposition,[status(thm)],[c_50,c_127]) ).
cnf(c_105405,plain,
( ~ releasedAt(X0,n1)
| happens(sK6(X0,n1),n1)
| releasedAt(X0,n2) ),
inference(superposition,[status(thm)],[c_113,c_59]) ).
cnf(c_105471,plain,
( ~ releasedAt(X0,n1)
| n0 = n1
| holdsAt(waterLevel(n3),n1)
| releasedAt(X0,n2) ),
inference(superposition,[status(thm)],[c_105405,c_98]) ).
cnf(c_105886,plain,
( ~ initiates(X0,X1,n1)
| ~ happens(X0,n1)
| ~ releasedAt(X1,n2) ),
inference(superposition,[status(thm)],[c_113,c_66]) ).
cnf(c_106046,plain,
( ~ terminates(X0,X1,X2)
| ~ happens(X0,X2)
| ~ holdsAt(X1,X2)
| happens(sK4(X1,X2),X2)
| holdsAt(X1,plus(X2,n1)) ),
inference(superposition,[status(thm)],[c_55,c_65]) ).
cnf(c_106674,plain,
( ~ holdsAt(waterLevel(X0),X1)
| ~ happens(overflow,X1)
| holdsAt(waterLevel(X0),plus(X1,n1)) ),
inference(superposition,[status(thm)],[c_104925,c_62]) ).
cnf(c_106676,plain,
( ~ holdsAt(waterLevel(X0),n1)
| ~ releasedAt(waterLevel(X0),n2)
| ~ happens(overflow,n1) ),
inference(superposition,[status(thm)],[c_104925,c_105886]) ).
cnf(c_106737,plain,
( X0 = n0
| X0 = n1
| less(X0,n0)
| less(n1,X0) ),
inference(superposition,[status(thm)],[c_104959,c_122]) ).
cnf(c_106742,plain,
( X0 = n0
| X0 = n1
| less(n1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106737,c_123]) ).
cnf(c_106860,plain,
( ~ happens(tapOn,n0)
| releasedAt(waterLevel(X0),n1) ),
inference(superposition,[status(thm)],[c_1022,c_105011]) ).
cnf(c_106867,plain,
releasedAt(waterLevel(X0),n1),
inference(forward_subsumption_resolution,[status(thm)],[c_106860,c_93]) ).
cnf(c_128599,plain,
( ~ stoppedIn(X0,X1,n2)
| sK3(X0,X1,n2) = n1
| less(sK3(X0,X1,n2),n1) ),
inference(superposition,[status(thm)],[c_105049,c_122]) ).
cnf(c_128865,plain,
( ~ less(X0,n1)
| X0 = n0
| X0 = n1 ),
inference(superposition,[status(thm)],[c_106742,c_144]) ).
cnf(c_138834,plain,
( X0 = n0
| ~ less(X0,n1) ),
inference(global_subsumption_just,[status(thm)],[c_128865,c_123,c_2775]) ).
cnf(c_138835,plain,
( ~ less(X0,n1)
| X0 = n0 ),
inference(renaming,[status(thm)],[c_138834]) ).
cnf(c_142748,plain,
( sK6(X0,n1) = overflow
| ~ releasedAt(X0,n1)
| releasedAt(X0,n2) ),
inference(global_subsumption_just,[status(thm)],[c_28526,c_153,c_154,c_178,c_2954,c_28526]) ).
cnf(c_142749,plain,
( ~ releasedAt(X0,n1)
| sK6(X0,n1) = overflow
| releasedAt(X0,n2) ),
inference(renaming,[status(thm)],[c_142748]) ).
cnf(c_142759,plain,
( sK6(waterLevel(X0),n1) = overflow
| releasedAt(waterLevel(X0),n2) ),
inference(superposition,[status(thm)],[c_13266,c_142749]) ).
cnf(c_142953,plain,
( sK6(waterLevel(X0),n1) = overflow
| releasedAt(waterLevel(X0),n3)
| holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_142759,c_39733]) ).
cnf(c_144207,plain,
( ~ releasedAt(X0,n1)
| holdsAt(waterLevel(n3),n1)
| releasedAt(X0,n4)
| holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_84519,c_32698]) ).
cnf(c_144573,plain,
( ~ releasedAt(X0,n1)
| ~ happens(tapOff,n1)
| holdsAt(waterLevel(n3),n2)
| releasedAt(X0,n4)
| holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_144207,c_46153]) ).
cnf(c_144929,plain,
( releasedAt(X0,n4)
| holdsAt(waterLevel(n3),n2)
| ~ releasedAt(X0,n1) ),
inference(global_subsumption_just,[status(thm)],[c_144573,c_153,c_154,c_178,c_2806,c_2972,c_32582,c_32698,c_84526,c_84525]) ).
cnf(c_144930,plain,
( ~ releasedAt(X0,n1)
| holdsAt(waterLevel(n3),n2)
| releasedAt(X0,n4) ),
inference(renaming,[status(thm)],[c_144929]) ).
cnf(c_144941,plain,
( ~ releasedAt(X0,n1)
| holdsAt(waterLevel(n3),n2)
| releasedAt(X0,n3) ),
inference(superposition,[status(thm)],[c_144930,c_33227]) ).
cnf(c_144948,plain,
( ~ releasedAt(X0,n1)
| ~ holdsAt(filling,n2)
| releasedAt(X0,n4)
| happens(overflow,n2) ),
inference(superposition,[status(thm)],[c_144930,c_92]) ).
cnf(c_145051,plain,
( ~ holdsAt(filling,n2)
| releasedAt(waterLevel(X0),n4)
| happens(overflow,n2) ),
inference(superposition,[status(thm)],[c_13266,c_144948]) ).
cnf(c_145740,plain,
( ~ holdsAt(filling,n2)
| releasedAt(waterLevel(X0),n3)
| happens(overflow,n2) ),
inference(superposition,[status(thm)],[c_145051,c_33227]) ).
cnf(c_145782,plain,
( ~ holdsAt(filling,n2)
| releasedAt(waterLevel(X0),n2)
| happens(overflow,n2) ),
inference(superposition,[status(thm)],[c_145740,c_85226]) ).
cnf(c_145823,plain,
( releasedAt(waterLevel(X0),n2)
| ~ holdsAt(filling,n2) ),
inference(global_subsumption_just,[status(thm)],[c_145782,c_31884,c_84565]) ).
cnf(c_145824,plain,
( ~ holdsAt(filling,n2)
| releasedAt(waterLevel(X0),n2) ),
inference(renaming,[status(thm)],[c_145823]) ).
cnf(c_145825,plain,
( ~ holdsAt(filling,n2)
| releasedAt(waterLevel(n1),n2) ),
inference(instantiation,[status(thm)],[c_145824]) ).
cnf(c_151162,plain,
( ~ holdsAt(waterLevel(X0),n1)
| ~ happens(overflow,n1)
| holdsAt(waterLevel(X0),n2) ),
inference(superposition,[status(thm)],[c_113,c_106674]) ).
cnf(c_151547,plain,
( ~ stoppedIn(X0,X1,n2)
| sK3(X0,X1,n2) = n0
| sK3(X0,X1,n2) = n1 ),
inference(superposition,[status(thm)],[c_128599,c_138835]) ).
cnf(c_158309,plain,
( sK6(waterLevel(X0),n1) = overflow
| releasedAt(waterLevel(X0),n4)
| holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_142953,c_32698]) ).
cnf(c_159053,plain,
( ~ holdsAt(waterLevel(X0),n0)
| holdsAt(waterLevel(plus(X0,n1)),n1)
| stoppedIn(n0,filling,n1) ),
inference(demodulation,[status(thm)],[c_46926,c_119,c_1022]) ).
cnf(c_159061,plain,
( ~ holdsAt(waterLevel(X0),n0)
| holdsAt(waterLevel(plus(n1,X0)),n1)
| stoppedIn(n0,filling,n1) ),
inference(superposition,[status(thm)],[c_119,c_159053]) ).
cnf(c_159272,plain,
( ~ holdsAt(waterLevel(n0),n0)
| stoppedIn(n0,filling,n1)
| holdsAt(waterLevel(n1),n1) ),
inference(superposition,[status(thm)],[c_1022,c_159061]) ).
cnf(c_159292,plain,
( stoppedIn(n0,filling,n1)
| holdsAt(waterLevel(n1),n1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159272,c_145]) ).
cnf(c_159447,plain,
( sK3(n0,filling,n1) = n0
| holdsAt(waterLevel(n1),n1) ),
inference(superposition,[status(thm)],[c_159292,c_16817]) ).
cnf(c_159463,plain,
( waterLevel(sK9(waterLevel(n1),tapOff,n1)) = waterLevel(n1)
| sK3(n0,filling,n1) = n0 ),
inference(superposition,[status(thm)],[c_159447,c_12376]) ).
cnf(c_159465,plain,
( ~ holdsAt(waterLevel(X0),n1)
| sK3(n0,filling,n1) = n0
| X0 = n1 ),
inference(superposition,[status(thm)],[c_159447,c_101]) ).
cnf(c_188241,plain,
( ~ terminates(X0,X1,X2)
| ~ happens(X0,X2)
| ~ holdsAt(X1,X2)
| happens(sK4(X1,X2),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106046,c_63]) ).
cnf(c_188249,plain,
( ~ happens(overflow,X0)
| ~ holdsAt(filling,X0)
| happens(sK4(filling,X0),X0) ),
inference(superposition,[status(thm)],[c_83,c_188241]) ).
cnf(c_188716,plain,
( sK6(waterLevel(sK9(waterLevel(n1),tapOff,n1)),n1) = overflow
| sK3(n0,filling,n1) = n0
| releasedAt(waterLevel(n1),n4)
| holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_159463,c_158309]) ).
cnf(c_192044,plain,
( ~ happens(overflow,X0)
| ~ holdsAt(filling,X0)
| X0 = n0
| holdsAt(waterLevel(n3),X0) ),
inference(superposition,[status(thm)],[c_188249,c_98]) ).
cnf(c_192065,plain,
( ~ happens(overflow,n1)
| ~ holdsAt(filling,n1)
| n1 = n0
| holdsAt(waterLevel(n3),n1) ),
inference(instantiation,[status(thm)],[c_192044]) ).
cnf(c_192730,plain,
( ~ releasedAt(X0,n1)
| holdsAt(waterLevel(n3),n1)
| releasedAt(X0,n2) ),
inference(global_subsumption_just,[status(thm)],[c_105471,c_84509]) ).
cnf(c_192739,plain,
( ~ holdsAt(waterLevel(X0),n1)
| ~ releasedAt(waterLevel(X0),n1)
| ~ happens(overflow,n1)
| holdsAt(waterLevel(n3),n1) ),
inference(superposition,[status(thm)],[c_192730,c_106676]) ).
cnf(c_192777,plain,
( ~ holdsAt(waterLevel(X0),n1)
| ~ happens(overflow,n1)
| holdsAt(waterLevel(n3),n1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_192739,c_106867]) ).
cnf(c_193324,plain,
( ~ happens(overflow,n1)
| holdsAt(waterLevel(n3),n1) ),
inference(global_subsumption_just,[status(thm)],[c_192777,c_154,c_187,c_2728,c_12800,c_15736,c_192065]) ).
cnf(c_193338,plain,
( ~ happens(overflow,n1)
| holdsAt(waterLevel(n3),n2) ),
inference(superposition,[status(thm)],[c_193324,c_151162]) ).
cnf(c_200833,plain,
( holdsAt(waterLevel(n3),n1)
| ~ happens(overflow,n1) ),
inference(global_subsumption_just,[status(thm)],[c_78977,c_154,c_187,c_2728,c_12800,c_15736,c_192065]) ).
cnf(c_200834,plain,
( ~ happens(overflow,n1)
| holdsAt(waterLevel(n3),n1) ),
inference(renaming,[status(thm)],[c_200833]) ).
cnf(c_200846,plain,
( ~ happens(overflow,n1)
| sK3(n0,filling,n1) = n0
| n1 = n3 ),
inference(superposition,[status(thm)],[c_200834,c_159465]) ).
cnf(c_208238,plain,
( sK3(n0,filling,n1) = n0
| releasedAt(waterLevel(n1),n4)
| holdsAt(filling,n2) ),
inference(global_subsumption_just,[status(thm)],[c_188716,c_153,c_154,c_178,c_187,c_2806,c_12943,c_84590,c_200846]) ).
cnf(c_208248,plain,
( sK3(n0,filling,n1) = n0
| releasedAt(waterLevel(n1),n3)
| holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_208238,c_33227]) ).
cnf(c_208261,plain,
( sK3(n0,filling,n1) = n0
| releasedAt(waterLevel(n1),n2)
| holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_208248,c_39746]) ).
cnf(c_213498,plain,
( releasedAt(waterLevel(n1),n2)
| sK3(n0,filling,n1) = n0 ),
inference(global_subsumption_just,[status(thm)],[c_208261,c_145825,c_208261]) ).
cnf(c_213499,plain,
( sK3(n0,filling,n1) = n0
| releasedAt(waterLevel(n1),n2) ),
inference(renaming,[status(thm)],[c_213498]) ).
cnf(c_213505,plain,
( ~ holdsAt(waterLevel(n1),n1)
| ~ happens(overflow,n1)
| sK3(n0,filling,n1) = n0 ),
inference(superposition,[status(thm)],[c_213499,c_32186]) ).
cnf(c_234804,plain,
( ~ happens(overflow,n1)
| sK3(n0,filling,n1) = n0 ),
inference(global_subsumption_just,[status(thm)],[c_213505,c_153,c_154,c_178,c_187,c_2806,c_12943,c_200846]) ).
cnf(c_252684,plain,
( ~ holdsAt(X0,n1)
| X0 = filling
| holdsAt(X0,plus(n1,n1))
| releasedAt(X0,n2) ),
inference(superposition,[status(thm)],[c_113,c_13162]) ).
cnf(c_252685,plain,
( ~ holdsAt(X0,X1)
| X0 = filling
| holdsAt(X0,plus(X1,n1))
| releasedAt(X0,plus(n1,X1)) ),
inference(superposition,[status(thm)],[c_119,c_13162]) ).
cnf(c_252698,plain,
( ~ holdsAt(X0,n1)
| X0 = filling
| holdsAt(X0,n2)
| releasedAt(X0,n2) ),
inference(light_normalisation,[status(thm)],[c_252684,c_113]) ).
cnf(c_260610,plain,
( ~ holdsAt(X0,n1)
| holdsAt(waterLevel(n3),n1)
| holdsAt(X0,n2)
| releasedAt(X0,n2) ),
inference(global_subsumption_just,[status(thm)],[c_78810,c_153,c_154,c_178,c_2954,c_78810]) ).
cnf(c_260642,plain,
( ~ holdsAt(X0,n1)
| ~ holdsAt(filling,n1)
| holdsAt(X0,n2)
| releasedAt(X0,n2)
| happens(overflow,n1) ),
inference(superposition,[status(thm)],[c_260610,c_92]) ).
cnf(c_260657,plain,
( ~ holdsAt(X0,n1)
| holdsAt(X0,n2)
| releasedAt(X0,n2)
| happens(overflow,n1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260642,c_12800]) ).
cnf(c_261099,plain,
( happens(overflow,n1)
| holdsAt(filling,n2)
| releasedAt(filling,n2) ),
inference(superposition,[status(thm)],[c_12800,c_260657]) ).
cnf(c_261683,plain,
( happens(overflow,n1)
| holdsAt(filling,n2)
| releasedAt(filling,n3) ),
inference(superposition,[status(thm)],[c_261099,c_39733]) ).
cnf(c_261685,plain,
( happens(overflow,n1)
| holdsAt(filling,n2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261683,c_151]) ).
cnf(c_261692,plain,
( overflow = tapOn
| holdsAt(waterLevel(n3),n1)
| holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_261685,c_99]) ).
cnf(c_261707,plain,
( sK3(n0,filling,n1) = n0
| holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_261685,c_234804]) ).
cnf(c_261726,plain,
( holdsAt(waterLevel(n3),n1)
| holdsAt(filling,n2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_261692,c_104]) ).
cnf(c_262538,plain,
( waterLevel(n3) = filling
| holdsAt(waterLevel(n3),n2)
| releasedAt(waterLevel(n3),n2)
| holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_261726,c_252698]) ).
cnf(c_262560,plain,
( holdsAt(waterLevel(n3),n2)
| releasedAt(waterLevel(n3),n2)
| holdsAt(filling,n2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262538,c_105]) ).
cnf(c_262826,plain,
( holdsAt(waterLevel(n3),n2)
| holdsAt(filling,n2) ),
inference(global_subsumption_just,[status(thm)],[c_262560,c_193338,c_261685]) ).
cnf(c_262863,plain,
( ~ happens(overflow,n2)
| holdsAt(waterLevel(n3),n3)
| holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_262826,c_89286]) ).
cnf(c_264887,plain,
( ~ holdsAt(X0,n2)
| X0 = filling
| holdsAt(X0,plus(n2,n1))
| releasedAt(X0,n3) ),
inference(superposition,[status(thm)],[c_114,c_252685]) ).
cnf(c_267036,plain,
( ~ holdsAt(X0,n2)
| X0 = filling
| holdsAt(X0,n3)
| releasedAt(X0,n3) ),
inference(demodulation,[status(thm)],[c_264887,c_114,c_119]) ).
cnf(c_267070,plain,
( ~ releasedAt(X0,n1)
| waterLevel(n3) = filling
| holdsAt(waterLevel(n3),n3)
| releasedAt(waterLevel(n3),n3)
| releasedAt(X0,n3) ),
inference(superposition,[status(thm)],[c_144941,c_267036]) ).
cnf(c_267104,plain,
( ~ releasedAt(X0,n1)
| holdsAt(waterLevel(n3),n3)
| releasedAt(waterLevel(n3),n3)
| releasedAt(X0,n3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267070,c_105]) ).
cnf(c_267797,plain,
( ~ releasedAt(waterLevel(n3),n1)
| holdsAt(waterLevel(n3),n3)
| releasedAt(waterLevel(n3),n3) ),
inference(equality_factoring,[status(thm)],[c_267104]) ).
cnf(c_267799,plain,
( holdsAt(waterLevel(n3),n3)
| releasedAt(waterLevel(n3),n3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_267797,c_13266]) ).
cnf(c_269057,plain,
( holdsAt(waterLevel(n3),n3)
| releasedAt(waterLevel(n3),n2)
| happens(overflow,n2) ),
inference(superposition,[status(thm)],[c_267799,c_85226]) ).
cnf(c_269058,plain,
( holdsAt(waterLevel(n3),n3)
| releasedAt(waterLevel(n3),n2)
| holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_267799,c_39746]) ).
cnf(c_269830,plain,
( ~ holdsAt(waterLevel(n3),n1)
| ~ happens(overflow,n1)
| holdsAt(waterLevel(n3),n3)
| happens(overflow,n2) ),
inference(superposition,[status(thm)],[c_269057,c_32186]) ).
cnf(c_270687,plain,
( holdsAt(waterLevel(n3),n3)
| holdsAt(filling,n2) ),
inference(global_subsumption_just,[status(thm)],[c_269058,c_261685,c_261726,c_262863,c_269830]) ).
cnf(c_277933,plain,
( ~ holdsAt(X0,n2)
| happens(sK4(X0,n2),n2)
| holdsAt(X0,plus(n2,n1))
| releasedAt(X0,n3) ),
inference(superposition,[status(thm)],[c_114,c_13014]) ).
cnf(c_279055,plain,
( ~ holdsAt(X0,n2)
| happens(sK4(X0,n2),n2)
| holdsAt(X0,n3)
| releasedAt(X0,n3) ),
inference(demodulation,[status(thm)],[c_277933,c_114,c_119]) ).
cnf(c_279065,plain,
( ~ holdsAt(X0,n2)
| n0 = n2
| holdsAt(waterLevel(n3),n2)
| holdsAt(X0,n3)
| releasedAt(X0,n3) ),
inference(superposition,[status(thm)],[c_279055,c_98]) ).
cnf(c_280343,plain,
( ~ holdsAt(X0,n2)
| holdsAt(waterLevel(n3),n2)
| holdsAt(X0,n3)
| releasedAt(X0,n3) ),
inference(global_subsumption_just,[status(thm)],[c_279065,c_153,c_154,c_178,c_2806,c_2972,c_279065]) ).
cnf(c_280354,plain,
( ~ holdsAt(filling,n2)
| holdsAt(waterLevel(n3),n2)
| holdsAt(filling,n3) ),
inference(superposition,[status(thm)],[c_280343,c_151]) ).
cnf(c_280437,plain,
( ~ holdsAt(filling,n2)
| holdsAt(waterLevel(n3),n2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_280354,c_9985]) ).
cnf(c_280842,plain,
holdsAt(waterLevel(n3),n2),
inference(global_subsumption_just,[status(thm)],[c_280437,c_262826,c_280437]) ).
cnf(c_280853,plain,
( ~ holdsAt(filling,n2)
| happens(overflow,n2) ),
inference(superposition,[status(thm)],[c_280842,c_92]) ).
cnf(c_280880,plain,
( ~ happens(tapOff,n2)
| holdsAt(waterLevel(n3),n3) ),
inference(superposition,[status(thm)],[c_280842,c_89481]) ).
cnf(c_280881,plain,
( ~ happens(overflow,n2)
| holdsAt(waterLevel(n3),n3) ),
inference(superposition,[status(thm)],[c_280842,c_89286]) ).
cnf(c_281002,plain,
holdsAt(waterLevel(n3),n3),
inference(global_subsumption_just,[status(thm)],[c_280880,c_270687,c_280853,c_280881]) ).
cnf(c_282946,plain,
less(n0,n1),
inference(superposition,[status(thm)],[c_120,c_124]) ).
cnf(c_282947,plain,
less_or_equal(n0,n1),
inference(superposition,[status(thm)],[c_282946,c_121]) ).
cnf(c_282971,plain,
less(n2,n3),
inference(superposition,[status(thm)],[c_120,c_128]) ).
cnf(c_282972,plain,
less(n0,n2),
inference(superposition,[status(thm)],[c_282947,c_126]) ).
cnf(c_282976,plain,
less_or_equal(n0,n2),
inference(superposition,[status(thm)],[c_282972,c_121]) ).
cnf(c_282979,plain,
less(n0,n3),
inference(superposition,[status(thm)],[c_282976,c_128]) ).
cnf(c_283210,plain,
( ~ holdsAt(waterLevel(X0),X1)
| initiates(overflow,waterLevel(X0),X1) ),
inference(superposition,[status(thm)],[c_67,c_75]) ).
cnf(c_283264,plain,
( X0 = n1
| less(n1,X0)
| less_or_equal(X0,n0) ),
inference(superposition,[status(thm)],[c_142,c_125]) ).
cnf(c_283265,plain,
( X0 = n2
| less(n2,X0)
| less_or_equal(X0,n1) ),
inference(superposition,[status(thm)],[c_142,c_127]) ).
cnf(c_283320,plain,
( ~ happens(tapOn,X0)
| releasedAt(waterLevel(X1),plus(n1,X0)) ),
inference(superposition,[status(thm)],[c_119,c_5386]) ).
cnf(c_283330,plain,
( ~ less(X0,sK3(X1,X2,X0))
| ~ stoppedIn(X1,X2,X0) ),
inference(superposition,[status(thm)],[c_50,c_144]) ).
cnf(c_283333,plain,
( ~ stoppedIn(X0,X1,n1)
| less_or_equal(sK3(X0,X1,n1),n0) ),
inference(superposition,[status(thm)],[c_50,c_125]) ).
cnf(c_283527,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_283611,plain,
( ~ holdsAt(waterLevel(X0),X1)
| waterLevel(sK9(waterLevel(X0),tapOff,X1)) = waterLevel(X0) ),
inference(superposition,[status(thm)],[c_71,c_72]) ).
cnf(c_283644,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_283680,plain,
( ~ releasedAt(X0,n1)
| happens(sK6(X0,n1),n1)
| releasedAt(X0,n2) ),
inference(superposition,[status(thm)],[c_113,c_59]) ).
cnf(c_283681,plain,
( ~ releasedAt(X0,X1)
| happens(sK6(X0,X1),X1)
| releasedAt(X0,plus(n1,X1)) ),
inference(superposition,[status(thm)],[c_119,c_59]) ).
cnf(c_283754,plain,
( ~ happens(overflow,X0)
| holdsAt(spilling,plus(X0,n1)) ),
inference(superposition,[status(thm)],[c_77,c_62]) ).
cnf(c_283755,plain,
( ~ happens(tapOn,X0)
| holdsAt(filling,plus(X0,n1)) ),
inference(superposition,[status(thm)],[c_78,c_62]) ).
cnf(c_283823,plain,
( ~ happens(overflow,X0)
| holdsAt(spilling,plus(n1,X0)) ),
inference(superposition,[status(thm)],[c_119,c_283754]) ).
cnf(c_283854,plain,
( ~ happens(tapOn,X0)
| holdsAt(filling,plus(n1,X0)) ),
inference(superposition,[status(thm)],[c_119,c_283755]) ).
cnf(c_283884,plain,
( ~ happens(overflow,n0)
| holdsAt(spilling,n1) ),
inference(superposition,[status(thm)],[c_1022,c_283823]) ).
cnf(c_283914,plain,
( ~ terminates(X0,X1,n1)
| ~ happens(X0,n1)
| ~ holdsAt(X1,n2) ),
inference(superposition,[status(thm)],[c_113,c_63]) ).
cnf(c_283996,plain,
~ happens(overflow,n0),
inference(global_subsumption_just,[status(thm)],[c_283884,c_44170]) ).
cnf(c_284007,plain,
( ~ happens(tapOn,n0)
| holdsAt(filling,n1) ),
inference(superposition,[status(thm)],[c_1022,c_283854]) ).
cnf(c_284009,plain,
holdsAt(filling,n1),
inference(forward_subsumption_resolution,[status(thm)],[c_284007,c_93]) ).
cnf(c_284030,plain,
( ~ holdsAt(waterLevel(X0),X1)
| ~ happens(overflow,X1)
| holdsAt(waterLevel(X0),plus(X1,n1)) ),
inference(superposition,[status(thm)],[c_283210,c_62]) ).
cnf(c_284120,plain,
( X0 = n0
| X0 = n1
| less(X0,n0)
| less(n1,X0) ),
inference(superposition,[status(thm)],[c_283264,c_122]) ).
cnf(c_284125,plain,
( X0 = n0
| X0 = n1
| less(n1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_284120,c_123]) ).
cnf(c_284135,plain,
( X0 = n1
| X0 = n2
| less(X0,n1)
| less(n2,X0) ),
inference(superposition,[status(thm)],[c_283265,c_122]) ).
cnf(c_284437,plain,
( ~ happens(tapOn,n0)
| releasedAt(waterLevel(X0),n1) ),
inference(superposition,[status(thm)],[c_1022,c_283320]) ).
cnf(c_284441,plain,
releasedAt(waterLevel(X0),n1),
inference(forward_subsumption_resolution,[status(thm)],[c_284437,c_93]) ).
cnf(c_284917,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_1320]) ).
cnf(c_287913,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_284917]) ).
cnf(c_287930,plain,
( ~ holdsAt(waterLevel(X0),n0)
| ~ less(n0,n2)
| ~ happens(tapOn,n0)
| holdsAt(waterLevel(plus(X0,n2)),n2)
| stoppedIn(n0,filling,plus(n0,n2)) ),
inference(superposition,[status(thm)],[c_111,c_284917]) ).
cnf(c_287931,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_284917]) ).
cnf(c_287967,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_287931,c_112]) ).
cnf(c_287968,plain,
( ~ holdsAt(waterLevel(X0),n0)
| holdsAt(waterLevel(plus(X0,n3)),n3)
| stoppedIn(n0,filling,n3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287967,c_93,c_282979]) ).
cnf(c_287972,plain,
( ~ holdsAt(waterLevel(X0),n0)
| ~ less(n0,n2)
| ~ happens(tapOn,n0)
| holdsAt(waterLevel(plus(X0,n2)),n2)
| stoppedIn(n0,filling,n2) ),
inference(light_normalisation,[status(thm)],[c_287930,c_111]) ).
cnf(c_287973,plain,
( ~ holdsAt(waterLevel(X0),n0)
| holdsAt(waterLevel(plus(X0,n2)),n2)
| stoppedIn(n0,filling,n2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_287972,c_93,c_282972]) ).
cnf(c_289482,plain,
( ~ stoppedIn(X0,X1,n1)
| sK3(X0,X1,n1) = n0
| less(sK3(X0,X1,n1),n0) ),
inference(superposition,[status(thm)],[c_283333,c_122]) ).
cnf(c_289486,plain,
( ~ stoppedIn(X0,X1,n1)
| sK3(X0,X1,n1) = n0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_289482,c_123]) ).
cnf(c_289617,plain,
( ~ less(X0,n1)
| X0 = n0
| X0 = n1 ),
inference(superposition,[status(thm)],[c_284125,c_144]) ).
cnf(c_304327,plain,
( ~ releasedAt(X0,n1)
| n0 = n1
| holdsAt(waterLevel(n3),n1)
| releasedAt(X0,n2) ),
inference(superposition,[status(thm)],[c_283680,c_98]) ).
cnf(c_304465,plain,
( X0 = n0
| ~ less(X0,n1) ),
inference(global_subsumption_just,[status(thm)],[c_289617,c_2777]) ).
cnf(c_304466,plain,
( ~ less(X0,n1)
| X0 = n0 ),
inference(renaming,[status(thm)],[c_304465]) ).
cnf(c_304807,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_1022,c_287913]) ).
cnf(c_304902,plain,
( ~ holdsAt(waterLevel(X0),n0)
| holdsAt(waterLevel(plus(X0,n1)),plus(n0,n1))
| stoppedIn(n0,filling,n1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_304807,c_93,c_282946]) ).
cnf(c_306971,plain,
( ~ happens(overflow,n1)
| ~ holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_83,c_283914]) ).
cnf(c_307360,plain,
( ~ releasedAt(X0,n2)
| happens(sK6(X0,n2),n2)
| releasedAt(X0,n3) ),
inference(superposition,[status(thm)],[c_114,c_283681]) ).
cnf(c_307484,plain,
( ~ releasedAt(X0,n2)
| n0 = n2
| releasedAt(X0,n3)
| holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_307360,c_96]) ).
cnf(c_308244,plain,
( X0 = n0
| X0 = n1
| X0 = n2
| less(n2,X0) ),
inference(superposition,[status(thm)],[c_284135,c_304466]) ).
cnf(c_310971,plain,
( ~ releasedAt(X0,n2)
| releasedAt(X0,n3)
| holdsAt(filling,n2) ),
inference(global_subsumption_just,[status(thm)],[c_307484,c_39733]) ).
cnf(c_312435,plain,
( ~ holdsAt(waterLevel(X0),n1)
| ~ happens(overflow,n1)
| holdsAt(waterLevel(X0),n2) ),
inference(superposition,[status(thm)],[c_113,c_284030]) ).
cnf(c_313134,plain,
( ~ holdsAt(waterLevel(n0),n0)
| stoppedIn(n0,filling,n3)
| holdsAt(waterLevel(n3),n3) ),
inference(superposition,[status(thm)],[c_112,c_287968]) ).
cnf(c_313149,plain,
( stoppedIn(n0,filling,n3)
| holdsAt(waterLevel(n3),n3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_313134,c_145]) ).
cnf(c_313198,plain,
holdsAt(waterLevel(n3),n3),
inference(global_subsumption_just,[status(thm)],[c_313149,c_281002]) ).
cnf(c_313200,plain,
waterLevel(sK9(waterLevel(n3),tapOff,n3)) = waterLevel(n3),
inference(superposition,[status(thm)],[c_313198,c_283611]) ).
cnf(c_313291,plain,
( ~ holdsAt(waterLevel(n3),n1)
| ~ happens(overflow,n1)
| holdsAt(waterLevel(sK9(waterLevel(n3),tapOff,n3)),n2) ),
inference(superposition,[status(thm)],[c_313200,c_312435]) ).
cnf(c_313359,plain,
( ~ holdsAt(waterLevel(n3),n1)
| ~ happens(overflow,n1)
| holdsAt(waterLevel(n3),n2) ),
inference(light_normalisation,[status(thm)],[c_313291,c_313200]) ).
cnf(c_314023,plain,
holdsAt(waterLevel(n3),n2),
inference(global_subsumption_just,[status(thm)],[c_313359,c_280842]) ).
cnf(c_314027,plain,
( ~ holdsAt(waterLevel(X0),n2)
| X0 = n3 ),
inference(superposition,[status(thm)],[c_314023,c_101]) ).
cnf(c_314466,plain,
( ~ holdsAt(waterLevel(X0),n0)
| plus(X0,n2) = n3
| stoppedIn(n0,filling,n2) ),
inference(superposition,[status(thm)],[c_287973,c_314027]) ).
cnf(c_314688,plain,
( ~ releasedAt(X0,n1)
| holdsAt(waterLevel(n3),n1)
| releasedAt(X0,n2) ),
inference(global_subsumption_just,[status(thm)],[c_304327,c_84509]) ).
cnf(c_314705,plain,
( ~ releasedAt(X0,n1)
| ~ holdsAt(filling,n1)
| releasedAt(X0,n2)
| happens(overflow,n1) ),
inference(superposition,[status(thm)],[c_314688,c_92]) ).
cnf(c_314714,plain,
( ~ releasedAt(X0,n1)
| releasedAt(X0,n2)
| happens(overflow,n1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_314705,c_284009]) ).
cnf(c_314960,plain,
( releasedAt(waterLevel(X0),n2)
| happens(overflow,n1) ),
inference(superposition,[status(thm)],[c_284441,c_314714]) ).
cnf(c_315054,plain,
( releasedAt(waterLevel(X0),n3)
| happens(overflow,n1)
| holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_314960,c_310971]) ).
cnf(c_315060,plain,
( happens(overflow,n1)
| holdsAt(filling,n2) ),
inference(global_subsumption_just,[status(thm)],[c_315054,c_261685]) ).
cnf(c_315066,plain,
( overflow = tapOn
| holdsAt(waterLevel(n3),n1)
| holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_315060,c_99]) ).
cnf(c_315086,plain,
( holdsAt(waterLevel(n3),n1)
| holdsAt(filling,n2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_315066,c_104]) ).
cnf(c_315128,plain,
( ~ holdsAt(waterLevel(X0),n1)
| X0 = n3
| holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_315086,c_101]) ).
cnf(c_315777,plain,
( ~ stoppedIn(X0,X1,n2)
| sK3(X0,X1,n2) = n0
| sK3(X0,X1,n2) = n1
| sK3(X0,X1,n2) = n2 ),
inference(superposition,[status(thm)],[c_308244,c_283330]) ).
cnf(c_317422,plain,
( sK3(X0,X1,n2) = n1
| sK3(X0,X1,n2) = n0
| ~ stoppedIn(X0,X1,n2) ),
inference(global_subsumption_just,[status(thm)],[c_315777,c_151547]) ).
cnf(c_317423,plain,
( ~ stoppedIn(X0,X1,n2)
| sK3(X0,X1,n2) = n0
| sK3(X0,X1,n2) = n1 ),
inference(renaming,[status(thm)],[c_317422]) ).
cnf(c_317548,plain,
( plus(n0,n2) = n3
| stoppedIn(n0,filling,n2) ),
inference(superposition,[status(thm)],[c_145,c_314466]) ).
cnf(c_317549,plain,
( n3 = n2
| stoppedIn(n0,filling,n2) ),
inference(light_normalisation,[status(thm)],[c_317548,c_111]) ).
cnf(c_317565,plain,
( sK2(n0,filling,n2) = overflow
| sK2(n0,filling,n2) = tapOn
| n3 = n2 ),
inference(superposition,[status(thm)],[c_317549,c_283644]) ).
cnf(c_317566,plain,
( sK2(n0,filling,n2) = overflow
| sK2(n0,filling,n2) = tapOff
| n3 = n2 ),
inference(superposition,[status(thm)],[c_317549,c_283527]) ).
cnf(c_317568,plain,
( sK3(n0,filling,n2) = n0
| sK3(n0,filling,n2) = n1
| n3 = n2 ),
inference(superposition,[status(thm)],[c_317549,c_317423]) ).
cnf(c_318609,plain,
( sK2(n0,filling,n2) = overflow
| tapOff = tapOn
| n3 = n2 ),
inference(superposition,[status(thm)],[c_317566,c_317565]) ).
cnf(c_318611,plain,
( sK2(n0,filling,n2) = overflow
| n3 = n2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_318609,c_102]) ).
cnf(c_318984,plain,
( ~ stoppedIn(n0,filling,n2)
| n3 = n2
| happens(overflow,sK3(n0,filling,n2)) ),
inference(superposition,[status(thm)],[c_318611,c_52]) ).
cnf(c_318989,plain,
( n3 = n2
| happens(overflow,sK3(n0,filling,n2)) ),
inference(global_subsumption_just,[status(thm)],[c_318984,c_317549,c_318984]) ).
cnf(c_318995,plain,
( overflow = tapOn
| n3 = n2
| holdsAt(waterLevel(n3),sK3(n0,filling,n2)) ),
inference(superposition,[status(thm)],[c_318989,c_99]) ).
cnf(c_319007,plain,
( n3 = n2
| holdsAt(waterLevel(n3),sK3(n0,filling,n2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_318995,c_104]) ).
cnf(c_319024,plain,
( ~ holdsAt(waterLevel(X0),sK3(n0,filling,n2))
| X0 = n3
| n3 = n2 ),
inference(superposition,[status(thm)],[c_319007,c_101]) ).
cnf(c_319574,plain,
( sK3(n0,filling,n2) = n1
| n3 = n2
| happens(overflow,n0) ),
inference(superposition,[status(thm)],[c_317568,c_318989]) ).
cnf(c_319575,plain,
( sK3(n0,filling,n2) = n1
| n3 = n2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_319574,c_283996]) ).
cnf(c_320042,plain,
( ~ holdsAt(waterLevel(X0),n1)
| X0 = n3
| n3 = n2 ),
inference(superposition,[status(thm)],[c_319575,c_319024]) ).
cnf(c_320046,plain,
( n3 = n2
| happens(overflow,n1) ),
inference(superposition,[status(thm)],[c_319575,c_318989]) ).
cnf(c_320062,plain,
( ~ holdsAt(waterLevel(n1),n1)
| n1 = n3
| n3 = n2 ),
inference(instantiation,[status(thm)],[c_320042]) ).
cnf(c_320092,plain,
( ~ holdsAt(filling,n2)
| n3 = n2 ),
inference(superposition,[status(thm)],[c_320046,c_306971]) ).
cnf(c_324332,plain,
( ~ holdsAt(waterLevel(X0),n0)
| holdsAt(waterLevel(plus(X0,n1)),n1)
| stoppedIn(n0,filling,n1) ),
inference(demodulation,[status(thm)],[c_304902,c_119,c_1022]) ).
cnf(c_324340,plain,
( ~ holdsAt(waterLevel(X0),n0)
| holdsAt(waterLevel(plus(n1,X0)),n1)
| stoppedIn(n0,filling,n1) ),
inference(superposition,[status(thm)],[c_119,c_324332]) ).
cnf(c_324539,plain,
( ~ holdsAt(waterLevel(n0),n0)
| stoppedIn(n0,filling,n1)
| holdsAt(waterLevel(n1),n1) ),
inference(superposition,[status(thm)],[c_1022,c_324340]) ).
cnf(c_324557,plain,
( stoppedIn(n0,filling,n1)
| holdsAt(waterLevel(n1),n1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_324539,c_145]) ).
cnf(c_324648,plain,
( sK3(n0,filling,n1) = n0
| holdsAt(waterLevel(n1),n1) ),
inference(superposition,[status(thm)],[c_324557,c_289486]) ).
cnf(c_324684,plain,
( sK3(n0,filling,n1) = n0
| n1 = n3
| holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_324648,c_315128]) ).
cnf(c_324819,plain,
( sK3(n0,filling,n1) = n0
| holdsAt(filling,n2) ),
inference(global_subsumption_just,[status(thm)],[c_324684,c_261707]) ).
cnf(c_324825,plain,
( sK3(n0,filling,n1) = n0
| n3 = n2 ),
inference(superposition,[status(thm)],[c_324819,c_320092]) ).
cnf(c_324891,plain,
( ~ stoppedIn(n0,filling,n1)
| n3 = n2
| less(n0,n0) ),
inference(superposition,[status(thm)],[c_324825,c_51]) ).
cnf(c_324919,plain,
( ~ stoppedIn(n0,filling,n1)
| n3 = n2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_324891,c_123]) ).
cnf(c_324922,plain,
n3 = n2,
inference(global_subsumption_just,[status(thm)],[c_324919,c_153,c_154,c_178,c_187,c_2806,c_12943,c_159292,c_320062,c_324919]) ).
cnf(c_325204,plain,
less(n3,n3),
inference(demodulation,[status(thm)],[c_282971,c_324922]) ).
cnf(c_325214,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_325204,c_143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : CSR005+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.11/0.12 % Command : run_iprover %s %d THM
% 0.12/0.32 % Computer : n008.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu May 2 23:03:13 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 85.00/12.22 % SZS status Started for theBenchmark.p
% 85.00/12.22 % SZS status Theorem for theBenchmark.p
% 85.00/12.22
% 85.00/12.22 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 85.00/12.22
% 85.00/12.22 ------ iProver source info
% 85.00/12.22
% 85.00/12.22 git: date: 2024-05-02 19:28:25 +0000
% 85.00/12.22 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 85.00/12.22 git: non_committed_changes: false
% 85.00/12.22
% 85.00/12.22 ------ Parsing...
% 85.00/12.22 ------ Clausification by vclausify_rel & Parsing by iProver...
% 85.00/12.22
% 85.00/12.22 ------ 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
% 85.00/12.22
% 85.00/12.22 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 85.00/12.22
% 85.00/12.22 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 85.00/12.22 ------ Proving...
% 85.00/12.22 ------ Problem Properties
% 85.00/12.22
% 85.00/12.22
% 85.00/12.22 clauses 100
% 85.00/12.22 conjectures 1
% 85.00/12.22 EPR 54
% 85.00/12.22 Horn 77
% 85.00/12.22 unary 34
% 85.00/12.22 binary 37
% 85.00/12.22 lits 209
% 85.00/12.22 lits eq 48
% 85.00/12.22 fd_pure 0
% 85.00/12.22 fd_pseudo 0
% 85.00/12.22 fd_cond 14
% 85.00/12.22 fd_pseudo_cond 4
% 85.00/12.22 AC symbols 0
% 85.00/12.22
% 85.00/12.22 ------ Schedule dynamic 5 is on
% 85.00/12.22
% 85.00/12.22 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 85.00/12.22
% 85.00/12.22
% 85.00/12.22 ------
% 85.00/12.22 Current options:
% 85.00/12.22 ------
% 85.00/12.22
% 85.00/12.22
% 85.00/12.22
% 85.00/12.22
% 85.00/12.22 ------ Proving...
% 85.00/12.22 Proof_search_loop: time out after: 11623 full_loop iterations
% 85.00/12.22
% 85.00/12.22 ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 85.00/12.22
% 85.00/12.22
% 85.00/12.22 ------
% 85.00/12.22 Current options:
% 85.00/12.22 ------
% 85.00/12.22
% 85.00/12.22
% 85.00/12.22
% 85.00/12.22
% 85.00/12.22 ------ Proving...
% 85.00/12.22
% 85.00/12.22
% 85.00/12.22 % SZS status Theorem for theBenchmark.p
% 85.00/12.22
% 85.00/12.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 85.00/12.23
% 85.00/12.23
%------------------------------------------------------------------------------