%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR001+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:06:29 AM UTC 2026
% Result : Theorem 21.28s 8.08s
% Output : CNFRefutation 21.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 74
% Number of leaves : 32
% Syntax : Number of formulae : 329 ( 78 unt; 0 def)
% Number of atoms : 974 ( 308 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 907 ( 262 ~; 571 |; 54 &)
% ( 12 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-4 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-3 aty)
% Number of variables : 394 ( 34 sgn 113 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(stoppedin_defn,axiom,
! [Time1,Fluent,Time2] :
( stoppedIn(Time1,Fluent,Time2)
<=> ? [Event,Time] :
( terminates(Event,Fluent,Time)
& less(Time,Time2)
& less(Time1,Time)
& happens(Event,Time) ) ),
file('theBenchmark.p',stoppedin_defn) ).
fof(change_holding,axiom,
! [Event,Time,Fluent,Fluent2,Offset] :
( ( ~ stoppedIn(Time,Fluent,plus(Time,Offset))
& trajectory(Fluent,Time,Fluent2,Offset)
& less(n0,Offset)
& initiates(Event,Fluent,Time)
& happens(Event,Time) )
=> holdsAt(Fluent2,plus(Time,Offset)) ),
file('theBenchmark.p',change_holding) ).
fof(keep_holding,axiom,
! [Fluent,Time] :
( ( ~ ? [Event] :
( terminates(Event,Fluent,Time)
& happens(Event,Time) )
& ~ releasedAt(Fluent,plus(Time,n1))
& holdsAt(Fluent,Time) )
=> holdsAt(Fluent,plus(Time,n1)) ),
file('theBenchmark.p',keep_holding) ).
fof(keep_not_released,axiom,
! [Fluent,Time] :
( ( ~ ? [Event] :
( releases(Event,Fluent,Time)
& happens(Event,Time) )
& ~ releasedAt(Fluent,Time) )
=> ~ releasedAt(Fluent,plus(Time,n1)) ),
file('theBenchmark.p',keep_not_released) ).
fof(happens_holds,axiom,
! [Event,Time,Fluent] :
( ( initiates(Event,Fluent,Time)
& happens(Event,Time) )
=> holdsAt(Fluent,plus(Time,n1)) ),
file('theBenchmark.p',happens_holds) ).
fof(happens_terminates_not_holds,axiom,
! [Event,Time,Fluent] :
( ( terminates(Event,Fluent,Time)
& happens(Event,Time) )
=> ~ holdsAt(Fluent,plus(Time,n1)) ),
file('theBenchmark.p',happens_terminates_not_holds) ).
fof(happens_not_released,axiom,
! [Event,Time,Fluent] :
( ( ( terminates(Event,Fluent,Time)
| initiates(Event,Fluent,Time) )
& happens(Event,Time) )
=> ~ releasedAt(Fluent,plus(Time,n1)) ),
file('theBenchmark.p',happens_not_released) ).
fof(initiates_all_defn,axiom,
! [Event,Fluent,Time] :
( initiates(Event,Fluent,Time)
<=> ( ? [Height] :
( Fluent = waterLevel(Height)
& Event = overflow
& holdsAt(waterLevel(Height),Time) )
| ? [Height] :
( Fluent = waterLevel(Height)
& Event = tapOff
& holdsAt(waterLevel(Height),Time) )
| ( Fluent = spilling
& Event = overflow )
| ( Fluent = filling
& Event = tapOn ) ) ),
file('theBenchmark.p',initiates_all_defn) ).
fof(terminates_all_defn,axiom,
! [Event,Fluent,Time] :
( terminates(Event,Fluent,Time)
<=> ( ( Fluent = filling
& Event = overflow )
| ( Fluent = filling
& Event = tapOff ) ) ),
file('theBenchmark.p',terminates_all_defn) ).
fof(releases_all_defn,axiom,
! [Event,Fluent,Time] :
( releases(Event,Fluent,Time)
<=> ? [Height] :
( Fluent = waterLevel(Height)
& Event = tapOn ) ),
file('theBenchmark.p',releases_all_defn) ).
fof(happens_all_defn,axiom,
! [Event,Time] :
( happens(Event,Time)
<=> ( ( Event = overflow
& holdsAt(filling,Time)
& holdsAt(waterLevel(n3),Time) )
| ( Time = n0
& Event = tapOn ) ) ),
file('theBenchmark.p',happens_all_defn) ).
fof(change_of_waterLevel,axiom,
! [Height1,Time,Height2,Offset] :
( ( Height2 = plus(Height1,Offset)
& holdsAt(waterLevel(Height1),Time) )
=> trajectory(filling,Time,waterLevel(Height2),Offset) ),
file('theBenchmark.p',change_of_waterLevel) ).
fof(same_waterLevel,axiom,
! [Time,Height1,Height2] :
( ( holdsAt(waterLevel(Height2),Time)
& holdsAt(waterLevel(Height1),Time) )
=> Height1 = Height2 ),
file('theBenchmark.p',same_waterLevel) ).
fof(filling_not_waterLevel,axiom,
! [X] : filling != waterLevel(X),
file('theBenchmark.p',filling_not_waterLevel) ).
fof(distinct_waterLevels,axiom,
! [X,Y] :
( waterLevel(X) = waterLevel(Y)
<=> X = Y ),
file('theBenchmark.p',distinct_waterLevels) ).
fof(symmetry_of_plus,axiom,
! [X,Y] : plus(X,Y) = plus(Y,X),
file('theBenchmark.p',symmetry_of_plus) ).
fof(less_or_equal,axiom,
! [X,Y] :
( less_or_equal(X,Y)
<=> ( X = Y
| less(X,Y) ) ),
file('theBenchmark.p',less_or_equal) ).
fof(less0,axiom,
~ ? [X] : less(X,n0),
file('theBenchmark.p',less0) ).
fof(less1,axiom,
! [X] :
( less(X,n1)
<=> less_or_equal(X,n0) ),
file('theBenchmark.p',less1) ).
fof(less2,axiom,
! [X] :
( less(X,n2)
<=> less_or_equal(X,n1) ),
file('theBenchmark.p',less2) ).
fof(less3,axiom,
! [X] :
( less(X,n3)
<=> less_or_equal(X,n2) ),
file('theBenchmark.p',less3) ).
fof(less4,axiom,
! [X] :
( less(X,n4)
<=> less_or_equal(X,n3) ),
file('theBenchmark.p',less4) ).
fof(less_property,axiom,
! [X,Y] :
( less(X,Y)
<=> ( Y != X
& ~ less(Y,X) ) ),
file('theBenchmark.p',less_property) ).
fof(waterLevel_4,conjecture,
holdsAt(waterLevel(n3),n4),
file('theBenchmark.p',waterLevel_4) ).
fof(waterLevel_4_neg,negated_conjecture,
~ holdsAt(waterLevel(n3),n4),
inference(assume_negation,[status(cth)],[waterLevel_4]) ).
fof(nnf_1,plain,
! [Time1,Fluent,Time2] :
( ( ! [Event,Time] :
( ~ terminates(Event,Fluent,Time)
| ~ less(Time,Time2)
| ~ less(Time1,Time)
| ~ happens(Event,Time) )
| stoppedIn(Time1,Fluent,Time2) )
& ( ? [X0,X1] :
( terminates(X0,Fluent,X1)
& less(X1,Time2)
& less(Time1,X1)
& happens(X0,X1) )
| ~ stoppedIn(Time1,Fluent,Time2) ) ),
inference(fof_nnf,[status(thm)],[stoppedin_defn]) ).
fof(sk_stoppedin_defn_sk,plain,
! [Time1,Fluent,Time2] :
( ( ! [Event,Time] :
( ~ terminates(Event,Fluent,Time)
| ~ less(Time,Time2)
| ~ less(Time1,Time)
| ~ happens(Event,Time) )
| stoppedIn(Time1,Fluent,Time2) )
& ( ( terminates(sK1(Time1,Fluent,Time2),Fluent,sK0(Time1,Fluent,Time2))
& less(sK0(Time1,Fluent,Time2),Time2)
& less(Time1,sK0(Time1,Fluent,Time2))
& happens(sK1(Time1,Fluent,Time2),sK0(Time1,Fluent,Time2)) )
| ~ stoppedIn(Time1,Fluent,Time2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK0]),skolemize(X0,sK1(Time1,Fluent,Time2)),skolemize(X1,sK0(Time1,Fluent,Time2))],[nnf_1]) ).
fof(sk_stoppedin_defn,plain,
( ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
( ~ terminates(VAR_3,VAR_1,VAR_4)
| ~ less(VAR_4,VAR_2)
| ~ less(VAR_0,VAR_4)
| ~ happens(VAR_3,VAR_4)
| stoppedIn(VAR_0,VAR_1,VAR_2) )
& ! [VAR_0,VAR_1,VAR_2] :
( terminates(sK1(VAR_0,VAR_1,VAR_2),VAR_1,sK0(VAR_0,VAR_1,VAR_2))
| ~ stoppedIn(VAR_0,VAR_1,VAR_2) )
& ! [VAR_0,VAR_1,VAR_2] :
( less(sK0(VAR_0,VAR_1,VAR_2),VAR_2)
| ~ stoppedIn(VAR_0,VAR_1,VAR_2) )
& ! [VAR_0,VAR_1,VAR_2] :
( less(VAR_0,sK0(VAR_0,VAR_1,VAR_2))
| ~ stoppedIn(VAR_0,VAR_1,VAR_2) )
& ! [VAR_0,VAR_1,VAR_2] :
( happens(sK1(VAR_0,VAR_1,VAR_2),sK0(VAR_0,VAR_1,VAR_2))
| ~ stoppedIn(VAR_0,VAR_1,VAR_2) ) ),
inference(cnf_transformation,[status(thm)],[sk_stoppedin_defn_sk]) ).
cnf(c_39,plain,
( less(sK0(A,B,C),C)
| ~ stoppedIn(A,B,C) ),
inference(split_conjunct,[status(thm)],[sk_stoppedin_defn]) ).
cnf(c_40,plain,
( less(A,sK0(A,B,C))
| ~ stoppedIn(A,B,C) ),
inference(split_conjunct,[status(thm)],[sk_stoppedin_defn]) ).
cnf(c_41,plain,
( happens(sK1(A,B,C),sK0(A,B,C))
| ~ stoppedIn(A,B,C) ),
inference(split_conjunct,[status(thm)],[sk_stoppedin_defn]) ).
cnf(c_42,plain,
( holdsAt(E,plus(B,D))
| stoppedIn(B,C,plus(B,D))
| ~ trajectory(C,B,E,D)
| ~ less(n0,D)
| ~ initiates(A,C,B)
| ~ happens(A,B) ),
inference(clausify,[status(thm)],[change_holding]) ).
cnf(c_50,plain,
( trajectory(filling,B,waterLevel(D),C)
| plus(A,C) != D
| ~ holdsAt(waterLevel(A),B) ),
inference(clausify,[status(thm)],[change_of_waterLevel]) ).
cnf(c_51,plain,
( less(sK0(B,C,plus(B,D)),plus(B,D))
| holdsAt(E,plus(B,D))
| ~ trajectory(C,B,E,D)
| ~ less(n0,D)
| ~ initiates(A,C,B)
| ~ happens(A,B) ),
inference(resolve,[status(thm)],[c_42,c_39]) ).
cnf(c_52,plain,
( less(B,sK0(B,C,plus(B,D)))
| holdsAt(E,plus(B,D))
| ~ trajectory(C,B,E,D)
| ~ less(n0,D)
| ~ initiates(A,C,B)
| ~ happens(A,B) ),
inference(resolve,[status(thm)],[c_42,c_40]) ).
cnf(c_53,plain,
( happens(sK1(B,C,plus(B,D)),sK0(B,C,plus(B,D)))
| holdsAt(E,plus(B,D))
| ~ trajectory(C,B,E,D)
| ~ less(n0,D)
| ~ initiates(A,C,B)
| ~ happens(A,B) ),
inference(resolve,[status(thm)],[c_42,c_41]) ).
fof(nnf_8,plain,
! [Fluent,Time] :
( ~ releasedAt(Fluent,plus(Time,n1))
| ? [Event] :
( releases(Event,Fluent,Time)
& happens(Event,Time) )
| releasedAt(Fluent,Time) ),
inference(fof_nnf,[status(thm)],[keep_not_released]) ).
fof(sk_keep_not_released_sk,plain,
! [Fluent,Time] :
( ~ releasedAt(Fluent,plus(Time,n1))
| ( releases(sK2(Fluent,Time),Fluent,Time)
& happens(sK2(Fluent,Time),Time) )
| releasedAt(Fluent,Time) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(Event,sK2(Fluent,Time))],[nnf_8]) ).
fof(sk_keep_not_released,plain,
( ! [VAR_0,VAR_1] :
( ~ releasedAt(VAR_0,plus(VAR_1,n1))
| releases(sK2(VAR_0,VAR_1),VAR_0,VAR_1)
| releasedAt(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( ~ releasedAt(VAR_0,plus(VAR_1,n1))
| happens(sK2(VAR_0,VAR_1),VAR_1)
| releasedAt(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_keep_not_released_sk]) ).
cnf(c_55,plain,
( ~ releasedAt(A,plus(B,n1))
| releases(sK2(A,B),A,B)
| releasedAt(A,B) ),
inference(split_conjunct,[status(thm)],[sk_keep_not_released]) ).
fof(nnf_15,plain,
! [Event,Fluent,Time] :
( ( ! [Height] :
( waterLevel(Height) != Fluent
| tapOn != Event )
| releases(Event,Fluent,Time) )
& ( ? [X0] :
( waterLevel(X0) = Fluent
& tapOn = Event )
| ~ releases(Event,Fluent,Time) ) ),
inference(fof_nnf,[status(thm)],[releases_all_defn]) ).
fof(sk_releases_all_defn_sk,plain,
! [Event,Fluent,Time] :
( ( ! [Height] :
( waterLevel(Height) != Fluent
| tapOn != Event )
| releases(Event,Fluent,Time) )
& ( ( waterLevel(sK3(Event,Fluent,Time)) = Fluent
& tapOn = Event )
| ~ releases(Event,Fluent,Time) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X0,sK3(Event,Fluent,Time))],[nnf_15]) ).
fof(sk_releases_all_defn,plain,
( ! [VAR_0,VAR_1,VAR_2,VAR_3] :
( waterLevel(VAR_3) != VAR_1
| tapOn != VAR_0
| releases(VAR_0,VAR_1,VAR_2) )
& ! [VAR_0,VAR_1,VAR_2] :
( waterLevel(sK3(VAR_0,VAR_1,VAR_2)) = VAR_1
| ~ releases(VAR_0,VAR_1,VAR_2) )
& ! [VAR_0,VAR_1,VAR_2] :
( tapOn = VAR_0
| ~ releases(VAR_0,VAR_1,VAR_2) ) ),
inference(cnf_transformation,[status(thm)],[sk_releases_all_defn_sk]) ).
cnf(c_57,plain,
( waterLevel(sK3(A,B,C)) = B
| ~ releases(A,B,C) ),
inference(split_conjunct,[status(thm)],[sk_releases_all_defn]) ).
cnf(c_58,plain,
( waterLevel(D) != B
| tapOn != A
| releases(A,B,C) ),
inference(split_conjunct,[status(thm)],[sk_releases_all_defn]) ).
cnf(c_60,plain,
( waterLevel(sK3(A,C,D)) = C
| waterLevel(B) != C
| tapOn != A ),
inference(resolve,[status(thm)],[c_58,c_57]) ).
cnf(c_61,plain,
( ~ releasedAt(A,plus(B,n1))
| releasedAt(A,B)
| waterLevel(sK3(sK2(A,B),A,B)) = A ),
inference(resolve,[status(thm)],[c_57,c_55]) ).
cnf(c_64,plain,
( plus(E,C) != D
| ~ holdsAt(waterLevel(E),B)
| happens(sK1(B,filling,plus(B,C)),sK0(B,filling,plus(B,C)))
| holdsAt(waterLevel(D),plus(B,C))
| ~ less(n0,C)
| ~ initiates(A,filling,B)
| ~ happens(A,B) ),
inference(resolve,[status(thm)],[c_53,c_50]) ).
cnf(c_65,plain,
( plus(E,C) != D
| ~ holdsAt(waterLevel(E),B)
| less(B,sK0(B,filling,plus(B,C)))
| holdsAt(waterLevel(D),plus(B,C))
| ~ less(n0,C)
| ~ initiates(A,filling,B)
| ~ happens(A,B) ),
inference(resolve,[status(thm)],[c_52,c_50]) ).
cnf(c_66,plain,
( plus(E,C) != D
| ~ holdsAt(waterLevel(E),B)
| less(sK0(B,filling,plus(B,C)),plus(B,C))
| holdsAt(waterLevel(D),plus(B,C))
| ~ less(n0,C)
| ~ initiates(A,filling,B)
| ~ happens(A,B) ),
inference(resolve,[status(thm)],[c_51,c_50]) ).
cnf(c_72,negated_conjecture,
~ holdsAt(waterLevel(n3),n4),
inference(clausify,[status(thm)],[waterLevel_4_neg]) ).
fof(waterLevel_3,axiom,
holdsAt(waterLevel(n3),n3),
file('theBenchmark.p',waterLevel_3) ).
cnf(c_73,plain,
holdsAt(waterLevel(n3),n3),
inference(clausify,[status(thm)],[waterLevel_3]) ).
fof(waterLevel_0,axiom,
holdsAt(waterLevel(n0),n0),
file('theBenchmark.p',waterLevel_0) ).
cnf(c_79,plain,
holdsAt(waterLevel(n0),n0),
inference(clausify,[status(thm)],[waterLevel_0]) ).
cnf(c_80,plain,
( B = A
| less(B,A)
| less(A,B) ),
inference(clausify,[status(thm)],[less_property]) ).
cnf(c_81,plain,
( B != A
| ~ less(A,B) ),
inference(clausify,[status(thm)],[less_property]) ).
cnf(c_82,plain,
( ~ less(B,A)
| ~ less(A,B) ),
inference(clausify,[status(thm)],[less_property]) ).
cnf(c_93,plain,
( ~ less_or_equal(A,n3)
| less(A,n4) ),
inference(clausify,[status(thm)],[less4]) ).
cnf(c_94,plain,
( less_or_equal(A,n3)
| ~ less(A,n4) ),
inference(clausify,[status(thm)],[less4]) ).
cnf(c_95,plain,
( ~ less_or_equal(A,n2)
| less(A,n3) ),
inference(clausify,[status(thm)],[less3]) ).
cnf(c_96,plain,
( less_or_equal(A,n2)
| ~ less(A,n3) ),
inference(clausify,[status(thm)],[less3]) ).
cnf(c_97,plain,
( ~ less_or_equal(A,n1)
| less(A,n2) ),
inference(clausify,[status(thm)],[less2]) ).
cnf(c_98,plain,
( less_or_equal(A,n1)
| ~ less(A,n2) ),
inference(clausify,[status(thm)],[less2]) ).
cnf(c_99,plain,
( ~ less_or_equal(A,n0)
| less(A,n1) ),
inference(clausify,[status(thm)],[less1]) ).
cnf(c_100,plain,
( less_or_equal(A,n0)
| ~ less(A,n1) ),
inference(clausify,[status(thm)],[less1]) ).
cnf(c_101,plain,
~ less(A,n0),
inference(clausify,[status(thm)],[less0]) ).
cnf(c_102,plain,
( B != A
| less_or_equal(A,B) ),
inference(clausify,[status(thm)],[less_or_equal]) ).
cnf(c_103,plain,
( ~ less(A,B)
| less_or_equal(A,B) ),
inference(clausify,[status(thm)],[less_or_equal]) ).
cnf(c_104,plain,
( B = A
| less(A,B)
| ~ less_or_equal(A,B) ),
inference(clausify,[status(thm)],[less_or_equal]) ).
cnf(c_105,plain,
plus(A,B) = plus(B,A),
inference(clausify,[status(thm)],[symmetry_of_plus]) ).
fof(plus1_3,axiom,
plus(n1,n3) = n4,
file('theBenchmark.p',plus1_3) ).
cnf(c_110,plain,
plus(n1,n3) = n4,
inference(clausify,[status(thm)],[plus1_3]) ).
fof(plus1_2,axiom,
plus(n1,n2) = n3,
file('theBenchmark.p',plus1_2) ).
cnf(c_111,plain,
plus(n1,n2) = n3,
inference(clausify,[status(thm)],[plus1_2]) ).
fof(plus1_1,axiom,
plus(n1,n1) = n2,
file('theBenchmark.p',plus1_1) ).
cnf(c_112,plain,
plus(n1,n1) = n2,
inference(clausify,[status(thm)],[plus1_1]) ).
fof(plus0_2,axiom,
plus(n0,n2) = n2,
file('theBenchmark.p',plus0_2) ).
cnf(c_114,plain,
plus(n0,n2) = n2,
inference(clausify,[status(thm)],[plus0_2]) ).
fof(plus0_1,axiom,
plus(n0,n1) = n1,
file('theBenchmark.p',plus0_1) ).
cnf(c_115,plain,
plus(n0,n1) = n1,
inference(clausify,[status(thm)],[plus0_1]) ).
cnf(c_116,plain,
plus(n1,n0) = n1,
inference(paramod,[status(thm)],[c_105,c_115]) ).
fof(plus0_0,axiom,
plus(n0,n0) = n0,
file('theBenchmark.p',plus0_0) ).
cnf(c_117,plain,
plus(n0,n0) = n0,
inference(clausify,[status(thm)],[plus0_0]) ).
cnf(c_119,plain,
( A = B
| waterLevel(A) != waterLevel(B) ),
inference(clausify,[status(thm)],[distinct_waterLevels]) ).
cnf(c_123,plain,
waterLevel(A) != filling,
inference(clausify,[status(thm)],[filling_not_waterLevel]) ).
cnf(c_127,plain,
( C = A
| ~ holdsAt(waterLevel(C),B)
| ~ holdsAt(waterLevel(A),B) ),
inference(clausify,[status(thm)],[same_waterLevel]) ).
cnf(c_128,plain,
( overflow != A
| ~ holdsAt(filling,B)
| ~ holdsAt(waterLevel(n3),B)
| happens(A,B) ),
inference(clausify,[status(thm)],[happens_all_defn]) ).
cnf(c_129,plain,
( n0 != B
| tapOn != A
| happens(A,B) ),
inference(clausify,[status(thm)],[happens_all_defn]) ).
cnf(c_130,plain,
( overflow = A
| n0 = B
| ~ happens(A,B) ),
inference(clausify,[status(thm)],[happens_all_defn]) ).
cnf(c_131,plain,
( holdsAt(filling,B)
| n0 = B
| ~ happens(A,B) ),
inference(clausify,[status(thm)],[happens_all_defn]) ).
cnf(c_132,plain,
( holdsAt(waterLevel(n3),B)
| n0 = B
| ~ happens(A,B) ),
inference(clausify,[status(thm)],[happens_all_defn]) ).
cnf(c_136,plain,
( filling != B
| overflow != A
| terminates(A,B,C) ),
inference(clausify,[status(thm)],[terminates_all_defn]) ).
cnf(c_138,plain,
( filling = B
| ~ terminates(A,B,C) ),
inference(clausify,[status(thm)],[terminates_all_defn]) ).
cnf(c_140,plain,
( waterLevel(D) != B
| overflow != A
| ~ holdsAt(waterLevel(D),C)
| initiates(A,B,C) ),
inference(clausify,[status(thm)],[initiates_all_defn]) ).
cnf(c_143,plain,
( filling != B
| tapOn != A
| initiates(A,B,C) ),
inference(clausify,[status(thm)],[initiates_all_defn]) ).
cnf(c_163,plain,
( ~ releasedAt(C,plus(B,n1))
| ~ initiates(A,C,B)
| ~ happens(A,B) ),
inference(clausify,[status(thm)],[happens_not_released]) ).
cnf(c_164,plain,
( ~ holdsAt(C,plus(B,n1))
| ~ terminates(A,C,B)
| ~ happens(A,B) ),
inference(clausify,[status(thm)],[happens_terminates_not_holds]) ).
cnf(c_165,plain,
( holdsAt(C,plus(B,n1))
| ~ initiates(A,C,B)
| ~ happens(A,B) ),
inference(clausify,[status(thm)],[happens_holds]) ).
cnf(c_166,plain,
( ~ releasedAt(A,plus(B,n1))
| happens(sK2(A,B),B)
| releasedAt(A,B) ),
inference(split_conjunct,[status(thm)],[sk_keep_not_released]) ).
fof(nnf_5,plain,
! [Fluent,Time] :
( holdsAt(Fluent,plus(Time,n1))
| ? [Event] :
( terminates(Event,Fluent,Time)
& happens(Event,Time) )
| releasedAt(Fluent,plus(Time,n1))
| ~ holdsAt(Fluent,Time) ),
inference(fof_nnf,[status(thm)],[keep_holding]) ).
fof(sk_keep_holding_sk,plain,
! [Fluent,Time] :
( holdsAt(Fluent,plus(Time,n1))
| ( terminates(sK4(Fluent,Time),Fluent,Time)
& happens(sK4(Fluent,Time),Time) )
| releasedAt(Fluent,plus(Time,n1))
| ~ holdsAt(Fluent,Time) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(Event,sK4(Fluent,Time))],[nnf_5]) ).
fof(sk_keep_holding,plain,
( ! [VAR_0,VAR_1] :
( holdsAt(VAR_0,plus(VAR_1,n1))
| terminates(sK4(VAR_0,VAR_1),VAR_0,VAR_1)
| releasedAt(VAR_0,plus(VAR_1,n1))
| ~ holdsAt(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( holdsAt(VAR_0,plus(VAR_1,n1))
| happens(sK4(VAR_0,VAR_1),VAR_1)
| releasedAt(VAR_0,plus(VAR_1,n1))
| ~ holdsAt(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_keep_holding_sk]) ).
cnf(c_171,plain,
( holdsAt(A,plus(B,n1))
| terminates(sK4(A,B),A,B)
| releasedAt(A,plus(B,n1))
| ~ holdsAt(A,B) ),
inference(split_conjunct,[status(thm)],[sk_keep_holding]) ).
cnf(c_172,plain,
( holdsAt(A,plus(B,n1))
| happens(sK4(A,B),B)
| releasedAt(A,plus(B,n1))
| ~ holdsAt(A,B) ),
inference(split_conjunct,[status(thm)],[sk_keep_holding]) ).
cnf(c_182,plain,
( waterLevel(sK3(tapOn,B,C)) = B
| waterLevel(A) != B ),
inference(xxres,[status(thm)],[c_60]) ).
cnf(c_6901,plain,
( A = n4
| less(n4,A)
| less_or_equal(A,n3) ),
inference(resolve,[status(thm)],[c_94,c_80]) ).
cnf(c_190,plain,
( n4 = A
| less(n4,A)
| less_or_equal(A,n3) ),
inference(copy,[status(thm)],[c_6901]) ).
cnf(c_6902,plain,
( A = n2
| less(n2,A)
| less_or_equal(A,n1) ),
inference(resolve,[status(thm)],[c_98,c_80]) ).
cnf(c_192,plain,
( n2 = A
| less(n2,A)
| less_or_equal(A,n1) ),
inference(copy,[status(thm)],[c_6902]) ).
cnf(c_6903,plain,
( A = n1
| less(n1,A)
| less_or_equal(A,n0) ),
inference(resolve,[status(thm)],[c_100,c_80]) ).
cnf(c_193,plain,
( n1 = A
| less(n1,A)
| less_or_equal(A,n0) ),
inference(copy,[status(thm)],[c_6903]) ).
cnf(c_195,plain,
less_or_equal(A,A),
inference(xxres,[status(thm)],[c_102]) ).
cnf(c_199,plain,
( ~ releasedAt(A,plus(n1,B))
| releasedAt(A,B)
| waterLevel(sK3(sK2(A,B),A,B)) = A ),
inference(paramod,[status(thm)],[c_105,c_61]) ).
cnf(c_201,plain,
( ~ releasedAt(A,n2)
| releasedAt(A,n1)
| waterLevel(sK3(sK2(A,n1),A,n1)) = A ),
inference(paramod,[status(thm)],[c_112,c_61]) ).
cnf(c_205,plain,
( overflow != A
| ~ holdsAt(filling,n3)
| happens(A,n3) ),
inference(resolve,[status(thm)],[c_128,c_73]) ).
cnf(c_206,plain,
( n0 != A
| happens(tapOn,A) ),
inference(xxres,[status(thm)],[c_129]) ).
cnf(c_208,plain,
( filling != A
| terminates(overflow,A,B) ),
inference(xxres,[status(thm)],[c_136]) ).
cnf(c_213,plain,
( waterLevel(n3) != B
| overflow != A
| initiates(A,B,n3) ),
inference(resolve,[status(thm)],[c_140,c_73]) ).
cnf(c_218,plain,
( filling != A
| initiates(tapOn,A,B) ),
inference(xxres,[status(thm)],[c_143]) ).
cnf(c_220,plain,
( ~ releasedAt(A,plus(n1,B))
| happens(sK2(A,B),B)
| releasedAt(A,B) ),
inference(paramod,[status(thm)],[c_105,c_166]) ).
cnf(c_6904,plain,
( holdsAt(waterLevel(n3),plus(n3,n1))
| terminates(sK4(waterLevel(n3),n3),waterLevel(n3),n3)
| releasedAt(waterLevel(n3),plus(n3,n1)) ),
inference(resolve,[status(thm)],[c_171,c_73]) ).
cnf(c_6905,plain,
( holdsAt(waterLevel(n3),plus(n3,n1))
| terminates(sK4(waterLevel(n3),n3),waterLevel(n3),n3)
| releasedAt(waterLevel(n3),plus(n1,n3)) ),
inference(paramod,[status(thm)],[c_105,c_6904]) ).
cnf(c_6906,plain,
( holdsAt(waterLevel(n3),plus(n3,n1))
| terminates(sK4(waterLevel(n3),n3),waterLevel(n3),n3)
| releasedAt(waterLevel(n3),n4) ),
inference(paramod,[status(thm)],[c_110,c_6905]) ).
cnf(c_6907,plain,
( holdsAt(waterLevel(n3),plus(n1,n3))
| terminates(sK4(waterLevel(n3),n3),waterLevel(n3),n3)
| releasedAt(waterLevel(n3),n4) ),
inference(paramod,[status(thm)],[c_105,c_6906]) ).
cnf(c_6908,plain,
( holdsAt(waterLevel(n3),n4)
| terminates(sK4(waterLevel(n3),n3),waterLevel(n3),n3)
| releasedAt(waterLevel(n3),n4) ),
inference(paramod,[status(thm)],[c_110,c_6907]) ).
cnf(c_227,negated_conjecture,
( terminates(sK4(waterLevel(n3),n3),waterLevel(n3),n3)
| releasedAt(waterLevel(n3),n4) ),
inference(resolve,[status(thm)],[c_72,c_6908]) ).
cnf(c_230,plain,
waterLevel(sK3(tapOn,waterLevel(A),B)) = waterLevel(A),
inference(xxres,[status(thm)],[c_182]) ).
cnf(c_231,plain,
less(n0,n1),
inference(resolve,[status(thm)],[c_195,c_99]) ).
cnf(c_233,plain,
less(n2,n3),
inference(resolve,[status(thm)],[c_195,c_95]) ).
cnf(c_240,plain,
less_or_equal(n0,n1),
inference(resolve,[status(thm)],[c_231,c_103]) ).
cnf(c_6909,plain,
n1 != n0,
inference(resolve,[status(thm)],[c_231,c_81]) ).
cnf(c_241,plain,
n0 != n1,
inference(copy,[status(thm)],[c_6909]) ).
cnf(c_6910,plain,
n3 != n2,
inference(resolve,[status(thm)],[c_233,c_81]) ).
cnf(c_247,plain,
n2 != n3,
inference(copy,[status(thm)],[c_6910]) ).
cnf(c_266,plain,
less(n0,n2),
inference(resolve,[status(thm)],[c_240,c_97]) ).
cnf(c_276,plain,
less_or_equal(n0,n2),
inference(resolve,[status(thm)],[c_266,c_103]) ).
cnf(c_277,plain,
n2 != n0,
inference(resolve,[status(thm)],[c_266,c_81]) ).
cnf(c_301,plain,
less(n0,n3),
inference(resolve,[status(thm)],[c_276,c_95]) ).
cnf(c_307,plain,
( n3 = A
| less(A,n3)
| n4 = A
| less(n4,A) ),
inference(resolve,[status(thm)],[c_190,c_104]) ).
cnf(c_310,plain,
less_or_equal(n0,n3),
inference(resolve,[status(thm)],[c_301,c_103]) ).
cnf(c_311,plain,
n3 != n0,
inference(resolve,[status(thm)],[c_301,c_81]) ).
cnf(c_325,plain,
( n1 = A
| less(A,n1)
| n2 = A
| less(n2,A) ),
inference(resolve,[status(thm)],[c_192,c_104]) ).
cnf(c_332,plain,
less(n0,n4),
inference(resolve,[status(thm)],[c_310,c_93]) ).
cnf(c_6911,plain,
( n0 = A
| less(A,n0)
| n1 = A
| less(n1,A) ),
inference(resolve,[status(thm)],[c_193,c_104]) ).
cnf(c_334,plain,
( n0 = A
| n1 = A
| less(n1,A) ),
inference(resolve,[status(thm)],[c_101,c_6911]) ).
cnf(c_346,plain,
n4 != n0,
inference(resolve,[status(thm)],[c_332,c_81]) ).
cnf(c_384,plain,
( ~ releasedAt(A,n3)
| releasedAt(A,n2)
| waterLevel(sK3(sK2(A,n2),A,n2)) = A ),
inference(paramod,[status(thm)],[c_111,c_199]) ).
cnf(c_6912,plain,
n0 = plus(n0,n0),
inference(copy,[status(thm)],[c_117]) ).
cnf(c_6913,plain,
happens(tapOn,plus(n0,n0)),
inference(resolve,[status(thm)],[c_206,c_6912]) ).
cnf(c_431,plain,
happens(tapOn,n0),
inference(paramod,[status(thm)],[c_117,c_6913]) ).
cnf(c_433,plain,
terminates(overflow,filling,A),
inference(xxres,[status(thm)],[c_208]) ).
cnf(c_434,plain,
( ~ holdsAt(filling,plus(A,n1))
| ~ happens(overflow,A) ),
inference(resolve,[status(thm)],[c_433,c_164]) ).
cnf(c_461,plain,
initiates(tapOn,filling,A),
inference(xxres,[status(thm)],[c_218]) ).
cnf(c_466,plain,
( holdsAt(filling,plus(A,n1))
| ~ happens(tapOn,A) ),
inference(resolve,[status(thm)],[c_461,c_165]) ).
cnf(c_467,plain,
( ~ releasedAt(filling,plus(A,n1))
| ~ happens(tapOn,A) ),
inference(resolve,[status(thm)],[c_461,c_163]) ).
cnf(c_469,plain,
( plus(D,B) != C
| ~ holdsAt(waterLevel(D),A)
| less(sK0(A,filling,plus(A,B)),plus(A,B))
| holdsAt(waterLevel(C),plus(A,B))
| ~ less(n0,B)
| ~ happens(tapOn,A) ),
inference(resolve,[status(thm)],[c_461,c_66]) ).
cnf(c_470,plain,
( plus(D,B) != C
| ~ holdsAt(waterLevel(D),A)
| less(A,sK0(A,filling,plus(A,B)))
| holdsAt(waterLevel(C),plus(A,B))
| ~ less(n0,B)
| ~ happens(tapOn,A) ),
inference(resolve,[status(thm)],[c_461,c_65]) ).
cnf(c_471,plain,
( plus(D,B) != C
| ~ holdsAt(waterLevel(D),A)
| happens(sK1(A,filling,plus(A,B)),sK0(A,filling,plus(A,B)))
| holdsAt(waterLevel(C),plus(A,B))
| ~ less(n0,B)
| ~ happens(tapOn,A) ),
inference(resolve,[status(thm)],[c_461,c_64]) ).
cnf(c_472,plain,
( waterLevel(n3) != A
| initiates(overflow,A,n3) ),
inference(xxres,[status(thm)],[c_213]) ).
cnf(c_484,plain,
( ~ releasedAt(filling,plus(n1,A))
| ~ happens(tapOn,A) ),
inference(paramod,[status(thm)],[c_105,c_467]) ).
cnf(c_6914,plain,
holdsAt(filling,plus(n0,n1)),
inference(resolve,[status(thm)],[c_466,c_431]) ).
cnf(c_6915,plain,
holdsAt(filling,plus(n1,n0)),
inference(paramod,[status(thm)],[c_105,c_6914]) ).
cnf(c_495,plain,
holdsAt(filling,n1),
inference(paramod,[status(thm)],[c_116,c_6915]) ).
cnf(c_6916,plain,
( holdsAt(filling,plus(n1,n1))
| happens(sK4(filling,n1),n1)
| releasedAt(filling,plus(n1,n1)) ),
inference(resolve,[status(thm)],[c_495,c_172]) ).
cnf(c_6917,plain,
( holdsAt(filling,plus(n1,n1))
| happens(sK4(filling,n1),n1)
| releasedAt(filling,n2) ),
inference(paramod,[status(thm)],[c_112,c_6916]) ).
cnf(c_500,plain,
( holdsAt(filling,n2)
| happens(sK4(filling,n1),n1)
| releasedAt(filling,n2) ),
inference(paramod,[status(thm)],[c_112,c_6917]) ).
cnf(c_502,plain,
initiates(overflow,waterLevel(n3),n3),
inference(xxres,[status(thm)],[c_472]) ).
cnf(c_6918,plain,
( holdsAt(waterLevel(n3),plus(n3,n1))
| ~ happens(overflow,n3) ),
inference(resolve,[status(thm)],[c_502,c_165]) ).
cnf(c_6919,plain,
( holdsAt(waterLevel(n3),plus(n1,n3))
| ~ happens(overflow,n3) ),
inference(paramod,[status(thm)],[c_105,c_6918]) ).
cnf(c_6920,plain,
( holdsAt(waterLevel(n3),n4)
| ~ happens(overflow,n3) ),
inference(paramod,[status(thm)],[c_110,c_6919]) ).
cnf(c_507,negated_conjecture,
~ happens(overflow,n3),
inference(resolve,[status(thm)],[c_72,c_6920]) ).
cnf(c_512,plain,
( ~ releasedAt(A,n4)
| happens(sK2(A,n3),n3)
| releasedAt(A,n3) ),
inference(paramod,[status(thm)],[c_110,c_220]) ).
cnf(c_513,plain,
( ~ releasedAt(A,n3)
| happens(sK2(A,n2),n2)
| releasedAt(A,n2) ),
inference(paramod,[status(thm)],[c_111,c_220]) ).
cnf(c_6921,plain,
( ~ releasedAt(filling,n1)
| ~ happens(tapOn,n0) ),
inference(paramod,[status(thm)],[c_116,c_484]) ).
cnf(c_517,plain,
~ releasedAt(filling,n1),
inference(resolve,[status(thm)],[c_431,c_6921]) ).
cnf(c_531,plain,
sK3(tapOn,waterLevel(A),B) = A,
inference(resolve,[status(thm)],[c_230,c_119]) ).
cnf(c_536,plain,
( ~ less(A,n1)
| n0 = A
| n1 = A ),
inference(resolve,[status(thm)],[c_334,c_82]) ).
cnf(c_6922,plain,
( filling = waterLevel(n3)
| releasedAt(waterLevel(n3),n4) ),
inference(resolve,[status(thm)],[c_227,c_138]) ).
cnf(c_6923,plain,
( waterLevel(n3) = filling
| releasedAt(waterLevel(n3),n4) ),
inference(copy,[status(thm)],[c_6922]) ).
cnf(c_587,plain,
releasedAt(waterLevel(n3),n4),
inference(resolve,[status(thm)],[c_123,c_6923]) ).
cnf(c_616,plain,
( less_or_equal(A,n2)
| n3 = A
| n4 = A
| less(n4,A) ),
inference(resolve,[status(thm)],[c_307,c_96]) ).
cnf(c_6924,plain,
( n0 = A
| n1 = A
| n1 = A
| n2 = A
| less(n2,A) ),
inference(resolve,[status(thm)],[c_325,c_536]) ).
cnf(c_626,plain,
( n0 = A
| n1 = A
| n2 = A
| less(n2,A) ),
inference(copy,[status(thm)],[c_6924]) ).
cnf(c_792,plain,
( plus(C,A) != B
| ~ holdsAt(waterLevel(C),n0)
| less(sK0(n0,filling,plus(n0,A)),plus(n0,A))
| holdsAt(waterLevel(B),plus(n0,A))
| ~ less(n0,A) ),
inference(resolve,[status(thm)],[c_469,c_431]) ).
cnf(c_795,plain,
( plus(C,A) != B
| ~ holdsAt(waterLevel(C),n0)
| less(n0,sK0(n0,filling,plus(n0,A)))
| holdsAt(waterLevel(B),plus(n0,A))
| ~ less(n0,A) ),
inference(resolve,[status(thm)],[c_470,c_431]) ).
cnf(c_797,plain,
( plus(C,A) != B
| ~ holdsAt(waterLevel(C),n0)
| happens(sK1(n0,filling,plus(n0,A)),sK0(n0,filling,plus(n0,A)))
| holdsAt(waterLevel(B),plus(n0,A))
| ~ less(n0,A) ),
inference(resolve,[status(thm)],[c_471,c_431]) ).
cnf(c_6925,plain,
( releasedAt(filling,n1)
| waterLevel(sK3(sK2(filling,n1),filling,n1)) = filling
| holdsAt(filling,n2)
| happens(sK4(filling,n1),n1) ),
inference(resolve,[status(thm)],[c_500,c_201]) ).
cnf(c_6926,plain,
( releasedAt(filling,n1)
| holdsAt(filling,n2)
| happens(sK4(filling,n1),n1) ),
inference(resolve,[status(thm)],[c_123,c_6925]) ).
cnf(c_810,plain,
( holdsAt(filling,n2)
| happens(sK4(filling,n1),n1) ),
inference(resolve,[status(thm)],[c_517,c_6926]) ).
cnf(c_6927,plain,
( holdsAt(waterLevel(n3),n1)
| n0 = n1
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_810,c_132]) ).
cnf(c_813,plain,
( holdsAt(waterLevel(n3),n1)
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_241,c_6927]) ).
cnf(c_819,plain,
( waterLevel(n3) != B
| overflow != A
| initiates(A,B,n1)
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_813,c_140]) ).
cnf(c_6928,plain,
( overflow != A
| ~ holdsAt(filling,n1)
| happens(A,n1)
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_813,c_128]) ).
cnf(c_820,plain,
( overflow != A
| happens(A,n1)
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_495,c_6928]) ).
cnf(c_828,plain,
( happens(sK2(waterLevel(n3),n3),n3)
| releasedAt(waterLevel(n3),n3) ),
inference(resolve,[status(thm)],[c_512,c_587]) ).
cnf(c_6929,plain,
A = sK3(tapOn,waterLevel(A),B),
inference(copy,[status(thm)],[c_531]) ).
cnf(c_6930,plain,
( happens(sK3(tapOn,waterLevel(overflow),A),n1)
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_820,c_6929]) ).
cnf(c_861,plain,
( happens(overflow,n1)
| holdsAt(filling,n2) ),
inference(paramod,[status(thm)],[c_531,c_6930]) ).
cnf(c_940,plain,
( happens(sK2(waterLevel(n3),n2),n2)
| releasedAt(waterLevel(n3),n2)
| happens(sK2(waterLevel(n3),n3),n3) ),
inference(resolve,[status(thm)],[c_828,c_513]) ).
cnf(c_947,plain,
( n2 = A
| less(A,n2)
| n3 = A
| n4 = A
| less(n4,A) ),
inference(resolve,[status(thm)],[c_616,c_104]) ).
cnf(c_951,plain,
( ~ less(A,n2)
| n0 = A
| n1 = A
| n2 = A ),
inference(resolve,[status(thm)],[c_626,c_82]) ).
cnf(c_999,plain,
( plus(n0,A) != B
| less(sK0(n0,filling,plus(n0,A)),plus(n0,A))
| holdsAt(waterLevel(B),plus(n0,A))
| ~ less(n0,A) ),
inference(resolve,[status(thm)],[c_792,c_79]) ).
cnf(c_6931,plain,
A = sK3(tapOn,waterLevel(A),B),
inference(copy,[status(thm)],[c_531]) ).
cnf(c_6932,plain,
( waterLevel(n3) != B
| initiates(sK3(tapOn,waterLevel(overflow),A),B,n1)
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_819,c_6931]) ).
cnf(c_1002,plain,
( waterLevel(n3) != A
| initiates(overflow,A,n1)
| holdsAt(filling,n2) ),
inference(paramod,[status(thm)],[c_531,c_6932]) ).
cnf(c_6933,plain,
A = sK3(tapOn,waterLevel(A),B),
inference(copy,[status(thm)],[c_531]) ).
cnf(c_6934,plain,
( initiates(overflow,sK3(tapOn,waterLevel(waterLevel(n3)),A),n1)
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_1002,c_6933]) ).
cnf(c_1004,plain,
( initiates(overflow,waterLevel(n3),n1)
| holdsAt(filling,n2) ),
inference(paramod,[status(thm)],[c_531,c_6934]) ).
cnf(c_1005,plain,
( plus(n0,A) != B
| less(n0,sK0(n0,filling,plus(n0,A)))
| holdsAt(waterLevel(B),plus(n0,A))
| ~ less(n0,A) ),
inference(resolve,[status(thm)],[c_795,c_79]) ).
cnf(c_6935,plain,
( ~ releasedAt(waterLevel(n3),plus(n1,n1))
| ~ happens(overflow,n1)
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_1004,c_163]) ).
cnf(c_1011,plain,
( ~ releasedAt(waterLevel(n3),n2)
| ~ happens(overflow,n1)
| holdsAt(filling,n2) ),
inference(paramod,[status(thm)],[c_112,c_6935]) ).
cnf(c_1021,plain,
( plus(n0,A) != B
| happens(sK1(n0,filling,plus(n0,A)),sK0(n0,filling,plus(n0,A)))
| holdsAt(waterLevel(B),plus(n0,A))
| ~ less(n0,A) ),
inference(resolve,[status(thm)],[c_797,c_79]) ).
cnf(c_1543,plain,
( ~ happens(overflow,n1)
| holdsAt(filling,n2)
| happens(sK2(waterLevel(n3),n2),n2)
| happens(sK2(waterLevel(n3),n3),n3) ),
inference(resolve,[status(thm)],[c_940,c_1011]) ).
cnf(c_6936,plain,
( n2 = n0
| n3 = n0
| n4 = n0
| less(n4,n0)
| plus(n0,n2) != A
| less(sK0(n0,filling,plus(n0,n2)),plus(n0,n2))
| holdsAt(waterLevel(A),plus(n0,n2)) ),
inference(resolve,[status(thm)],[c_999,c_947]) ).
cnf(c_6937,plain,
( n2 = n0
| n3 = n0
| n4 = n0
| less(n4,n0)
| plus(n0,n2) != A
| less(sK0(n0,filling,plus(n0,n2)),plus(n0,n2))
| holdsAt(waterLevel(A),n2) ),
inference(paramod,[status(thm)],[c_114,c_6936]) ).
cnf(c_6938,plain,
( n2 = n0
| n3 = n0
| n4 = n0
| less(n4,n0)
| plus(n0,n2) != A
| less(sK0(n0,filling,n2),plus(n0,n2))
| holdsAt(waterLevel(A),n2) ),
inference(paramod,[status(thm)],[c_114,c_6937]) ).
cnf(c_6939,plain,
( n2 = n0
| n3 = n0
| n4 = n0
| less(n4,n0)
| plus(n0,n2) != A
| less(sK0(n0,filling,n2),n2)
| holdsAt(waterLevel(A),n2) ),
inference(paramod,[status(thm)],[c_114,c_6938]) ).
cnf(c_6940,plain,
( n2 = n0
| n3 = n0
| n4 = n0
| less(n4,n0)
| n2 != A
| less(sK0(n0,filling,n2),n2)
| holdsAt(waterLevel(A),n2) ),
inference(paramod,[status(thm)],[c_114,c_6939]) ).
cnf(c_6941,plain,
( n2 = n0
| n3 = n0
| n4 = n0
| n2 != A
| less(sK0(n0,filling,n2),n2)
| holdsAt(waterLevel(A),n2) ),
inference(resolve,[status(thm)],[c_101,c_6940]) ).
cnf(c_6942,plain,
( n2 = n0
| n3 = n0
| n2 != A
| less(sK0(n0,filling,n2),n2)
| holdsAt(waterLevel(A),n2) ),
inference(resolve,[status(thm)],[c_346,c_6941]) ).
cnf(c_6943,plain,
( n2 = n0
| n2 != A
| less(sK0(n0,filling,n2),n2)
| holdsAt(waterLevel(A),n2) ),
inference(resolve,[status(thm)],[c_311,c_6942]) ).
cnf(c_2105,plain,
( n2 != A
| less(sK0(n0,filling,n2),n2)
| holdsAt(waterLevel(A),n2) ),
inference(resolve,[status(thm)],[c_277,c_6943]) ).
cnf(c_6944,plain,
A = sK3(tapOn,waterLevel(A),B),
inference(copy,[status(thm)],[c_531]) ).
cnf(c_6945,plain,
( less(sK0(n0,filling,n2),n2)
| holdsAt(waterLevel(sK3(tapOn,waterLevel(n2),A)),n2) ),
inference(resolve,[status(thm)],[c_2105,c_6944]) ).
cnf(c_2125,plain,
( less(sK0(n0,filling,n2),n2)
| holdsAt(waterLevel(n2),n2) ),
inference(paramod,[status(thm)],[c_531,c_6945]) ).
cnf(c_2140,plain,
( n2 = A
| ~ holdsAt(waterLevel(A),n2)
| less(sK0(n0,filling,n2),n2) ),
inference(resolve,[status(thm)],[c_2125,c_127]) ).
cnf(c_6946,plain,
( n2 = n0
| n3 = n0
| n4 = n0
| less(n4,n0)
| plus(n0,n2) != A
| less(n0,sK0(n0,filling,plus(n0,n2)))
| holdsAt(waterLevel(A),plus(n0,n2)) ),
inference(resolve,[status(thm)],[c_1005,c_947]) ).
cnf(c_6947,plain,
( n2 = n0
| n3 = n0
| n4 = n0
| less(n4,n0)
| plus(n0,n2) != A
| less(n0,sK0(n0,filling,plus(n0,n2)))
| holdsAt(waterLevel(A),n2) ),
inference(paramod,[status(thm)],[c_114,c_6946]) ).
cnf(c_6948,plain,
( n2 = n0
| n3 = n0
| n4 = n0
| less(n4,n0)
| plus(n0,n2) != A
| less(n0,sK0(n0,filling,n2))
| holdsAt(waterLevel(A),n2) ),
inference(paramod,[status(thm)],[c_114,c_6947]) ).
cnf(c_6949,plain,
( n2 = n0
| n3 = n0
| n4 = n0
| less(n4,n0)
| n2 != A
| less(n0,sK0(n0,filling,n2))
| holdsAt(waterLevel(A),n2) ),
inference(paramod,[status(thm)],[c_114,c_6948]) ).
cnf(c_6950,plain,
( n2 = n0
| n3 = n0
| n4 = n0
| n2 != A
| less(n0,sK0(n0,filling,n2))
| holdsAt(waterLevel(A),n2) ),
inference(resolve,[status(thm)],[c_101,c_6949]) ).
cnf(c_6951,plain,
( n2 = n0
| n3 = n0
| n2 != A
| less(n0,sK0(n0,filling,n2))
| holdsAt(waterLevel(A),n2) ),
inference(resolve,[status(thm)],[c_346,c_6950]) ).
cnf(c_6952,plain,
( n2 = n0
| n2 != A
| less(n0,sK0(n0,filling,n2))
| holdsAt(waterLevel(A),n2) ),
inference(resolve,[status(thm)],[c_311,c_6951]) ).
cnf(c_2151,plain,
( n2 != A
| less(n0,sK0(n0,filling,n2))
| holdsAt(waterLevel(A),n2) ),
inference(resolve,[status(thm)],[c_277,c_6952]) ).
cnf(c_6953,plain,
A = sK3(tapOn,waterLevel(A),B),
inference(copy,[status(thm)],[c_531]) ).
cnf(c_6954,plain,
( less(n0,sK0(n0,filling,n2))
| holdsAt(waterLevel(sK3(tapOn,waterLevel(n2),A)),n2) ),
inference(resolve,[status(thm)],[c_2151,c_6953]) ).
cnf(c_2171,plain,
( less(n0,sK0(n0,filling,n2))
| holdsAt(waterLevel(n2),n2) ),
inference(paramod,[status(thm)],[c_531,c_6954]) ).
cnf(c_2179,plain,
( n2 = A
| ~ holdsAt(waterLevel(A),n2)
| less(n0,sK0(n0,filling,n2)) ),
inference(resolve,[status(thm)],[c_2171,c_127]) ).
cnf(c_6955,plain,
( n2 = n0
| n3 = n0
| n4 = n0
| less(n4,n0)
| plus(n0,n2) != A
| happens(sK1(n0,filling,plus(n0,n2)),sK0(n0,filling,plus(n0,n2)))
| holdsAt(waterLevel(A),plus(n0,n2)) ),
inference(resolve,[status(thm)],[c_1021,c_947]) ).
cnf(c_6956,plain,
( n2 = n0
| n3 = n0
| n4 = n0
| less(n4,n0)
| plus(n0,n2) != A
| happens(sK1(n0,filling,plus(n0,n2)),sK0(n0,filling,plus(n0,n2)))
| holdsAt(waterLevel(A),n2) ),
inference(paramod,[status(thm)],[c_114,c_6955]) ).
cnf(c_6957,plain,
( n2 = n0
| n3 = n0
| n4 = n0
| less(n4,n0)
| plus(n0,n2) != A
| happens(sK1(n0,filling,n2),sK0(n0,filling,plus(n0,n2)))
| holdsAt(waterLevel(A),n2) ),
inference(paramod,[status(thm)],[c_114,c_6956]) ).
cnf(c_6958,plain,
( n2 = n0
| n3 = n0
| n4 = n0
| less(n4,n0)
| plus(n0,n2) != A
| happens(sK1(n0,filling,n2),sK0(n0,filling,n2))
| holdsAt(waterLevel(A),n2) ),
inference(paramod,[status(thm)],[c_114,c_6957]) ).
cnf(c_6959,plain,
( n2 = n0
| n3 = n0
| n4 = n0
| less(n4,n0)
| n2 != A
| happens(sK1(n0,filling,n2),sK0(n0,filling,n2))
| holdsAt(waterLevel(A),n2) ),
inference(paramod,[status(thm)],[c_114,c_6958]) ).
cnf(c_6960,plain,
( n2 = n0
| n3 = n0
| n4 = n0
| n2 != A
| happens(sK1(n0,filling,n2),sK0(n0,filling,n2))
| holdsAt(waterLevel(A),n2) ),
inference(resolve,[status(thm)],[c_101,c_6959]) ).
cnf(c_6961,plain,
( n2 = n0
| n3 = n0
| n2 != A
| happens(sK1(n0,filling,n2),sK0(n0,filling,n2))
| holdsAt(waterLevel(A),n2) ),
inference(resolve,[status(thm)],[c_346,c_6960]) ).
cnf(c_6962,plain,
( n2 = n0
| n2 != A
| happens(sK1(n0,filling,n2),sK0(n0,filling,n2))
| holdsAt(waterLevel(A),n2) ),
inference(resolve,[status(thm)],[c_311,c_6961]) ).
cnf(c_2194,plain,
( n2 != A
| happens(sK1(n0,filling,n2),sK0(n0,filling,n2))
| holdsAt(waterLevel(A),n2) ),
inference(resolve,[status(thm)],[c_277,c_6962]) ).
cnf(c_6963,plain,
A = sK3(tapOn,waterLevel(A),B),
inference(copy,[status(thm)],[c_531]) ).
cnf(c_6964,plain,
( happens(sK1(n0,filling,n2),sK0(n0,filling,n2))
| holdsAt(waterLevel(sK3(tapOn,waterLevel(n2),A)),n2) ),
inference(resolve,[status(thm)],[c_2194,c_6963]) ).
cnf(c_3355,plain,
( happens(sK1(n0,filling,n2),sK0(n0,filling,n2))
| holdsAt(waterLevel(n2),n2) ),
inference(paramod,[status(thm)],[c_531,c_6964]) ).
cnf(c_6965,plain,
( holdsAt(waterLevel(n3),sK0(n0,filling,n2))
| n0 = sK0(n0,filling,n2)
| holdsAt(waterLevel(n2),n2) ),
inference(resolve,[status(thm)],[c_3355,c_132]) ).
cnf(c_3359,plain,
( holdsAt(waterLevel(n3),sK0(n0,filling,n2))
| sK0(n0,filling,n2) = n0
| holdsAt(waterLevel(n2),n2) ),
inference(copy,[status(thm)],[c_6965]) ).
cnf(c_6966,plain,
( holdsAt(filling,n2)
| holdsAt(filling,n2)
| happens(sK2(waterLevel(n3),n2),n2)
| happens(sK2(waterLevel(n3),n3),n3) ),
inference(resolve,[status(thm)],[c_1543,c_861]) ).
cnf(c_6657,plain,
( holdsAt(filling,n2)
| happens(sK2(waterLevel(n3),n2),n2)
| happens(sK2(waterLevel(n3),n3),n3) ),
inference(copy,[status(thm)],[c_6966]) ).
cnf(c_6967,plain,
( holdsAt(filling,n2)
| n0 = n2
| holdsAt(filling,n2)
| happens(sK2(waterLevel(n3),n3),n3) ),
inference(resolve,[status(thm)],[c_6657,c_131]) ).
cnf(c_6968,plain,
( holdsAt(filling,n2)
| n2 = n0
| holdsAt(filling,n2)
| happens(sK2(waterLevel(n3),n3),n3) ),
inference(copy,[status(thm)],[c_6967]) ).
cnf(c_6969,plain,
( n2 = n0
| holdsAt(filling,n2)
| happens(sK2(waterLevel(n3),n3),n3) ),
inference(copy,[status(thm)],[c_6968]) ).
cnf(c_6659,plain,
( holdsAt(filling,n2)
| happens(sK2(waterLevel(n3),n3),n3) ),
inference(resolve,[status(thm)],[c_277,c_6969]) ).
cnf(c_6970,plain,
( holdsAt(filling,n3)
| n0 = n3
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_6659,c_131]) ).
cnf(c_6971,plain,
( holdsAt(filling,n3)
| n3 = n0
| holdsAt(filling,n2) ),
inference(copy,[status(thm)],[c_6970]) ).
cnf(c_6660,plain,
( holdsAt(filling,n3)
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_311,c_6971]) ).
cnf(c_6972,plain,
( holdsAt(filling,plus(n2,n1))
| happens(sK4(filling,n2),n2)
| releasedAt(filling,plus(n2,n1))
| holdsAt(filling,n3) ),
inference(resolve,[status(thm)],[c_6660,c_172]) ).
cnf(c_6973,plain,
( holdsAt(filling,plus(n2,n1))
| happens(sK4(filling,n2),n2)
| releasedAt(filling,plus(n1,n2))
| holdsAt(filling,n3) ),
inference(paramod,[status(thm)],[c_105,c_6972]) ).
cnf(c_6974,plain,
( holdsAt(filling,plus(n2,n1))
| happens(sK4(filling,n2),n2)
| releasedAt(filling,n3)
| holdsAt(filling,n3) ),
inference(paramod,[status(thm)],[c_111,c_6973]) ).
cnf(c_6975,plain,
( holdsAt(filling,plus(n1,n2))
| happens(sK4(filling,n2),n2)
| releasedAt(filling,n3)
| holdsAt(filling,n3) ),
inference(paramod,[status(thm)],[c_105,c_6974]) ).
cnf(c_6976,plain,
( holdsAt(filling,n3)
| happens(sK4(filling,n2),n2)
| releasedAt(filling,n3)
| holdsAt(filling,n3) ),
inference(paramod,[status(thm)],[c_111,c_6975]) ).
cnf(c_6669,plain,
( happens(sK4(filling,n2),n2)
| releasedAt(filling,n3)
| holdsAt(filling,n3) ),
inference(copy,[status(thm)],[c_6976]) ).
cnf(c_6977,plain,
( releasedAt(filling,n2)
| waterLevel(sK3(sK2(filling,n2),filling,n2)) = filling
| happens(sK4(filling,n2),n2)
| holdsAt(filling,n3) ),
inference(resolve,[status(thm)],[c_6669,c_384]) ).
cnf(c_6676,plain,
( releasedAt(filling,n2)
| happens(sK4(filling,n2),n2)
| holdsAt(filling,n3) ),
inference(resolve,[status(thm)],[c_123,c_6977]) ).
cnf(c_6978,plain,
( releasedAt(filling,n1)
| waterLevel(sK3(sK2(filling,n1),filling,n1)) = filling
| happens(sK4(filling,n2),n2)
| holdsAt(filling,n3) ),
inference(resolve,[status(thm)],[c_6676,c_201]) ).
cnf(c_6979,plain,
( releasedAt(filling,n1)
| happens(sK4(filling,n2),n2)
| holdsAt(filling,n3) ),
inference(resolve,[status(thm)],[c_123,c_6978]) ).
cnf(c_6684,plain,
( happens(sK4(filling,n2),n2)
| holdsAt(filling,n3) ),
inference(resolve,[status(thm)],[c_517,c_6979]) ).
cnf(c_6980,plain,
( holdsAt(waterLevel(n3),n2)
| n0 = n2
| holdsAt(filling,n3) ),
inference(resolve,[status(thm)],[c_6684,c_132]) ).
cnf(c_6981,plain,
( holdsAt(waterLevel(n3),n2)
| n2 = n0
| holdsAt(filling,n3) ),
inference(copy,[status(thm)],[c_6980]) ).
cnf(c_6687,plain,
( holdsAt(waterLevel(n3),n2)
| holdsAt(filling,n3) ),
inference(resolve,[status(thm)],[c_277,c_6981]) ).
cnf(c_6982,plain,
( overflow = sK4(filling,n2)
| n0 = n2
| holdsAt(filling,n3) ),
inference(resolve,[status(thm)],[c_6684,c_130]) ).
cnf(c_6983,plain,
( overflow = sK4(filling,n2)
| n2 = n0
| holdsAt(filling,n3) ),
inference(copy,[status(thm)],[c_6982]) ).
cnf(c_6984,plain,
( sK4(filling,n2) = overflow
| n2 = n0
| holdsAt(filling,n3) ),
inference(copy,[status(thm)],[c_6983]) ).
cnf(c_6688,plain,
( sK4(filling,n2) = overflow
| holdsAt(filling,n3) ),
inference(resolve,[status(thm)],[c_277,c_6984]) ).
cnf(c_6985,plain,
( n2 = n3
| less(n0,sK0(n0,filling,n2))
| holdsAt(filling,n3) ),
inference(resolve,[status(thm)],[c_6687,c_2179]) ).
cnf(c_6690,plain,
( less(n0,sK0(n0,filling,n2))
| holdsAt(filling,n3) ),
inference(resolve,[status(thm)],[c_247,c_6985]) ).
cnf(c_6986,plain,
( n2 = n3
| less(sK0(n0,filling,n2),n2)
| holdsAt(filling,n3) ),
inference(resolve,[status(thm)],[c_6687,c_2140]) ).
cnf(c_6691,plain,
( less(sK0(n0,filling,n2),n2)
| holdsAt(filling,n3) ),
inference(resolve,[status(thm)],[c_247,c_6986]) ).
cnf(c_6697,plain,
( n3 = A
| ~ holdsAt(waterLevel(A),n2)
| holdsAt(filling,n3) ),
inference(resolve,[status(thm)],[c_6687,c_127]) ).
cnf(c_6700,plain,
( overflow != A
| happens(A,n3)
| sK4(filling,n2) = overflow ),
inference(resolve,[status(thm)],[c_6688,c_205]) ).
cnf(c_6703,plain,
( overflow != A
| happens(A,n3)
| less(n0,sK0(n0,filling,n2)) ),
inference(resolve,[status(thm)],[c_6690,c_205]) ).
cnf(c_6706,plain,
( overflow != A
| happens(A,n3)
| less(sK0(n0,filling,n2),n2) ),
inference(resolve,[status(thm)],[c_6691,c_205]) ).
cnf(c_6987,plain,
A = sK3(tapOn,waterLevel(A),B),
inference(copy,[status(thm)],[c_531]) ).
cnf(c_6988,plain,
( happens(sK3(tapOn,waterLevel(overflow),A),n3)
| sK4(filling,n2) = overflow ),
inference(resolve,[status(thm)],[c_6700,c_6987]) ).
cnf(c_6989,plain,
( happens(overflow,n3)
| sK4(filling,n2) = overflow ),
inference(paramod,[status(thm)],[c_531,c_6988]) ).
cnf(c_6716,plain,
sK4(filling,n2) = overflow,
inference(resolve,[status(thm)],[c_507,c_6989]) ).
cnf(c_6990,plain,
overflow = sK4(filling,n2),
inference(copy,[status(thm)],[c_6716]) ).
cnf(c_6991,plain,
( happens(sK4(filling,n2),n3)
| less(n0,sK0(n0,filling,n2)) ),
inference(resolve,[status(thm)],[c_6703,c_6990]) ).
cnf(c_6992,plain,
( happens(overflow,n3)
| less(n0,sK0(n0,filling,n2)) ),
inference(paramod,[status(thm)],[c_6716,c_6991]) ).
cnf(c_6758,plain,
less(n0,sK0(n0,filling,n2)),
inference(resolve,[status(thm)],[c_507,c_6992]) ).
cnf(c_6769,plain,
sK0(n0,filling,n2) != n0,
inference(resolve,[status(thm)],[c_6758,c_81]) ).
cnf(c_6793,plain,
( holdsAt(waterLevel(n3),sK0(n0,filling,n2))
| holdsAt(waterLevel(n2),n2) ),
inference(resolve,[status(thm)],[c_6769,c_3359]) ).
cnf(c_6993,plain,
( n3 = n2
| holdsAt(filling,n3)
| holdsAt(waterLevel(n3),sK0(n0,filling,n2)) ),
inference(resolve,[status(thm)],[c_6793,c_6697]) ).
cnf(c_6994,plain,
( n2 = n3
| holdsAt(filling,n3)
| holdsAt(waterLevel(n3),sK0(n0,filling,n2)) ),
inference(copy,[status(thm)],[c_6993]) ).
cnf(c_6810,plain,
( holdsAt(filling,n3)
| holdsAt(waterLevel(n3),sK0(n0,filling,n2)) ),
inference(resolve,[status(thm)],[c_247,c_6994]) ).
cnf(c_6822,plain,
( overflow != A
| ~ holdsAt(filling,sK0(n0,filling,n2))
| happens(A,sK0(n0,filling,n2))
| holdsAt(filling,n3) ),
inference(resolve,[status(thm)],[c_6810,c_128]) ).
cnf(c_6995,plain,
overflow = sK4(filling,n2),
inference(copy,[status(thm)],[c_6716]) ).
cnf(c_6996,plain,
( happens(sK4(filling,n2),n3)
| less(sK0(n0,filling,n2),n2) ),
inference(resolve,[status(thm)],[c_6706,c_6995]) ).
cnf(c_6997,plain,
( happens(overflow,n3)
| less(sK0(n0,filling,n2),n2) ),
inference(paramod,[status(thm)],[c_6716,c_6996]) ).
cnf(c_6824,plain,
less(sK0(n0,filling,n2),n2),
inference(resolve,[status(thm)],[c_507,c_6997]) ).
cnf(c_6998,plain,
( n0 = sK0(n0,filling,n2)
| n1 = sK0(n0,filling,n2)
| n2 = sK0(n0,filling,n2) ),
inference(resolve,[status(thm)],[c_6824,c_951]) ).
cnf(c_6999,plain,
( n0 = sK0(n0,filling,n2)
| n1 = sK0(n0,filling,n2)
| sK0(n0,filling,n2) = n2 ),
inference(copy,[status(thm)],[c_6998]) ).
cnf(c_7000,plain,
( n0 = sK0(n0,filling,n2)
| sK0(n0,filling,n2) = n1
| sK0(n0,filling,n2) = n2 ),
inference(copy,[status(thm)],[c_6999]) ).
cnf(c_7001,plain,
( sK0(n0,filling,n2) = n0
| sK0(n0,filling,n2) = n1
| sK0(n0,filling,n2) = n2 ),
inference(copy,[status(thm)],[c_7000]) ).
cnf(c_6825,plain,
( sK0(n0,filling,n2) = n1
| sK0(n0,filling,n2) = n2 ),
inference(resolve,[status(thm)],[c_6769,c_7001]) ).
cnf(c_7002,plain,
n2 != sK0(n0,filling,n2),
inference(resolve,[status(thm)],[c_6824,c_81]) ).
cnf(c_6836,plain,
sK0(n0,filling,n2) != n2,
inference(copy,[status(thm)],[c_7002]) ).
cnf(c_6844,plain,
sK0(n0,filling,n2) = n1,
inference(resolve,[status(thm)],[c_6836,c_6825]) ).
cnf(c_7003,plain,
( overflow != A
| ~ holdsAt(filling,sK0(n0,filling,n2))
| happens(A,n1)
| holdsAt(filling,n3) ),
inference(paramod,[status(thm)],[c_6844,c_6822]) ).
cnf(c_7004,plain,
( overflow != A
| ~ holdsAt(filling,n1)
| happens(A,n1)
| holdsAt(filling,n3) ),
inference(paramod,[status(thm)],[c_6844,c_7003]) ).
cnf(c_6846,plain,
( overflow != A
| happens(A,n1)
| holdsAt(filling,n3) ),
inference(resolve,[status(thm)],[c_495,c_7004]) ).
cnf(c_7005,plain,
overflow = sK4(filling,n2),
inference(copy,[status(thm)],[c_6716]) ).
cnf(c_7006,plain,
( happens(sK4(filling,n2),n1)
| holdsAt(filling,n3) ),
inference(resolve,[status(thm)],[c_6846,c_7005]) ).
cnf(c_6875,plain,
( happens(overflow,n1)
| holdsAt(filling,n3) ),
inference(paramod,[status(thm)],[c_6716,c_7006]) ).
cnf(c_7007,plain,
( ~ holdsAt(filling,plus(n1,n1))
| holdsAt(filling,n3) ),
inference(resolve,[status(thm)],[c_6875,c_434]) ).
cnf(c_6885,plain,
( ~ holdsAt(filling,n2)
| holdsAt(filling,n3) ),
inference(paramod,[status(thm)],[c_112,c_7007]) ).
cnf(c_7008,plain,
( holdsAt(filling,n3)
| holdsAt(filling,n3) ),
inference(resolve,[status(thm)],[c_6885,c_6660]) ).
cnf(c_6889,plain,
holdsAt(filling,n3),
inference(copy,[status(thm)],[c_7008]) ).
cnf(c_6890,plain,
( overflow != A
| happens(A,n3) ),
inference(resolve,[status(thm)],[c_6889,c_205]) ).
cnf(c_7009,plain,
overflow = sK4(filling,n2),
inference(copy,[status(thm)],[c_6716]) ).
cnf(c_7010,plain,
happens(sK4(filling,n2),n3),
inference(resolve,[status(thm)],[c_6890,c_7009]) ).
cnf(c_7011,plain,
happens(overflow,n3),
inference(paramod,[status(thm)],[c_6716,c_7010]) ).
cnf(c_6900,plain,
$false,
inference(resolve,[status(thm)],[c_507,c_7011]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR001+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.36 % Computer : n006.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Sat Sep 26 23:53:34 UTC 2026
% 0.09/5.36 % CPUTime :
% 0.09/5.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/5.36 % Process 2402965 was started by sandbox2 on n006,
% 0.09/5.36 % Sat Sep 26 23:53:34 2026
% 0.09/5.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/5.38
% 0.09/5.38 % From the command line: assign(max_seconds, 300).
% 21.28/8.08
% 21.28/8.08 % given #500 (T,wt=9): 669 n6 = A | less(A,n8) | -less(A,n6). [resolve(623,a,82,b)].
% 21.28/8.08
% 21.28/8.08 % given #1000 (T,wt=15): 1487 less(n9,A) | n9 = A | n8 = A | n7 = A | less_or_equal(A,n6). [resolve(931,d,88,a)].
% 21.28/8.08
% 21.28/8.08 % given #1500 (T,wt=14): 3692 holdsAt(filling,n2) | -happens(overflow,n2) | -releasedAt(waterLevel(f10(overflow,waterLevel(n3),n2)),n3). [resolve(3678,b,163,b),rewrite([105(15),111(15)])].
% 21.28/8.08
% 21.28/8.08 % given #2000 (T,wt=13): 5893 f10(overflow,waterLevel(n2),n2) = n2 | less(f2(n0,filling,n2),n3). [resolve(5889,b,95,b)].
% 21.28/8.08
% 21.28/8.08 % SZS status Theorem for theBenchmark
% 21.28/8.08
% 21.28/8.08 % Proof 1 at 2.12 (+ 0.55) seconds.
% 21.28/8.08 % Length of proof is 197.
% 21.28/8.08 % Level of proof is 33.
% 21.28/8.08 % Maximum clause weight is 38.000.
% 21.28/8.08 % Given clauses 2265.
% 21.28/8.08
% 21.28/8.08 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------