%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR005+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 07:06:31 AM UTC 2026
% Result : Theorem 33.26s 6.59s
% Output : CNFRefutation 33.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 66
% Number of leaves : 30
% Syntax : Number of formulae : 363 ( 79 unt; 0 def)
% Number of atoms : 1193 ( 413 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 1106 ( 276 ~; 758 |; 53 &)
% ( 12 <=>; 7 =>; 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 : 410 ( 29 sgn 110 !; 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_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(filling_3,conjecture,
holdsAt(filling,n3),
file('theBenchmark.p',filling_3) ).
fof(filling_3_neg,negated_conjecture,
~ holdsAt(filling,n3),
inference(assume_negation,[status(cth)],[filling_3]) ).
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_37,plain,
( ~ terminates(D,B,E)
| ~ less(E,C)
| ~ less(A,E)
| ~ happens(D,E)
| stoppedIn(A,B,C) ),
inference(split_conjunct,[status(thm)],[sk_stoppedin_defn]) ).
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_69,plain,
( less(C,sK0(C,E,D))
| ~ terminates(A,E,B)
| ~ less(B,D)
| ~ less(C,B)
| ~ happens(A,B) ),
inference(resolve,[status(thm)],[c_37,c_40]) ).
cnf(c_70,plain,
( less(sK0(C,E,D),D)
| ~ terminates(A,E,B)
| ~ less(B,D)
| ~ less(C,B)
| ~ happens(A,B) ),
inference(resolve,[status(thm)],[c_37,c_39]) ).
cnf(c_72,negated_conjecture,
~ holdsAt(filling,n3),
inference(clausify,[status(thm)],[filling_3_neg]) ).
fof(filling_3_l1,axiom,
~ releasedAt(filling,n3),
file('theBenchmark.p',filling_3_l1) ).
cnf(c_73,plain,
~ releasedAt(filling,n3),
inference(clausify,[status(thm)],[filling_3_l1]) ).
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_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_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_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_165,plain,
( holdsAt(C,plus(B,n1))
| ~ initiates(A,C,B)
| ~ happens(A,B) ),
inference(clausify,[status(thm)],[happens_holds]) ).
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_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_181,plain,
~ less(A,A),
inference(factor,[status(thm)],[c_82]) ).
cnf(c_182,plain,
( waterLevel(sK3(tapOn,B,C)) = B
| waterLevel(A) != B ),
inference(xxres,[status(thm)],[c_60]) ).
cnf(c_10275,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_10275]) ).
cnf(c_10276,plain,
( A = n3
| less(n3,A)
| less_or_equal(A,n2) ),
inference(resolve,[status(thm)],[c_96,c_80]) ).
cnf(c_191,plain,
( n3 = A
| less(n3,A)
| less_or_equal(A,n2) ),
inference(copy,[status(thm)],[c_10276]) ).
cnf(c_10277,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_10277]) ).
cnf(c_10278,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_10278]) ).
cnf(c_195,plain,
less_or_equal(A,A),
inference(xxres,[status(thm)],[c_102]) ).
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_204,plain,
( n0 != A
| happens(tapOn,A) ),
inference(xxres,[status(thm)],[c_129]) ).
cnf(c_206,plain,
( filling != A
| terminates(overflow,A,B) ),
inference(xxres,[status(thm)],[c_136]) ).
cnf(c_214,plain,
( filling != A
| initiates(tapOn,A,B) ),
inference(xxres,[status(thm)],[c_143]) ).
cnf(c_224,plain,
waterLevel(sK3(tapOn,waterLevel(A),B)) = waterLevel(A),
inference(xxres,[status(thm)],[c_182]) ).
cnf(c_225,plain,
less(n0,n1),
inference(resolve,[status(thm)],[c_195,c_99]) ).
cnf(c_226,plain,
less(n1,n2),
inference(resolve,[status(thm)],[c_195,c_97]) ).
cnf(c_227,plain,
less(n2,n3),
inference(resolve,[status(thm)],[c_195,c_95]) ).
cnf(c_234,plain,
less_or_equal(n0,n1),
inference(resolve,[status(thm)],[c_225,c_103]) ).
cnf(c_10279,plain,
n1 != n0,
inference(resolve,[status(thm)],[c_225,c_81]) ).
cnf(c_235,plain,
n0 != n1,
inference(copy,[status(thm)],[c_10279]) ).
cnf(c_236,plain,
less_or_equal(n1,n2),
inference(resolve,[status(thm)],[c_226,c_103]) ).
cnf(c_238,plain,
n2 != n1,
inference(resolve,[status(thm)],[c_226,c_81]) ).
cnf(c_10280,plain,
n3 != n2,
inference(resolve,[status(thm)],[c_227,c_81]) ).
cnf(c_241,plain,
n2 != n3,
inference(copy,[status(thm)],[c_10280]) ).
cnf(c_260,plain,
less(n0,n2),
inference(resolve,[status(thm)],[c_234,c_97]) ).
cnf(c_261,plain,
less(n1,n3),
inference(resolve,[status(thm)],[c_236,c_95]) ).
cnf(c_270,plain,
less_or_equal(n0,n2),
inference(resolve,[status(thm)],[c_260,c_103]) ).
cnf(c_271,plain,
n2 != n0,
inference(resolve,[status(thm)],[c_260,c_81]) ).
cnf(c_273,plain,
less_or_equal(n1,n3),
inference(resolve,[status(thm)],[c_261,c_103]) ).
cnf(c_275,plain,
n3 != n1,
inference(resolve,[status(thm)],[c_261,c_81]) ).
cnf(c_295,plain,
less(n0,n3),
inference(resolve,[status(thm)],[c_270,c_95]) ).
cnf(c_297,plain,
less(n1,n4),
inference(resolve,[status(thm)],[c_273,c_93]) ).
cnf(c_301,plain,
( n3 = A
| less(A,n3)
| n4 = A
| less(n4,A) ),
inference(resolve,[status(thm)],[c_190,c_104]) ).
cnf(c_304,plain,
less_or_equal(n0,n3),
inference(resolve,[status(thm)],[c_295,c_103]) ).
cnf(c_305,plain,
n3 != n0,
inference(resolve,[status(thm)],[c_295,c_81]) ).
cnf(c_306,plain,
( n2 = A
| less(A,n2)
| n3 = A
| less(n3,A) ),
inference(resolve,[status(thm)],[c_191,c_104]) ).
cnf(c_308,plain,
~ less(n4,n1),
inference(resolve,[status(thm)],[c_297,c_82]) ).
cnf(c_309,plain,
n4 != n1,
inference(resolve,[status(thm)],[c_297,c_81]) ).
cnf(c_319,plain,
( n1 = A
| less(A,n1)
| n2 = A
| less(n2,A) ),
inference(resolve,[status(thm)],[c_192,c_104]) ).
cnf(c_326,plain,
less(n0,n4),
inference(resolve,[status(thm)],[c_304,c_93]) ).
cnf(c_10281,plain,
( n0 = A
| less(A,n0)
| n1 = A
| less(n1,A) ),
inference(resolve,[status(thm)],[c_193,c_104]) ).
cnf(c_328,plain,
( n0 = A
| n1 = A
| less(n1,A) ),
inference(resolve,[status(thm)],[c_101,c_10281]) ).
cnf(c_340,plain,
n4 != n0,
inference(resolve,[status(thm)],[c_326,c_81]) ).
cnf(c_10282,plain,
n0 = plus(n0,n0),
inference(copy,[status(thm)],[c_117]) ).
cnf(c_10283,plain,
happens(tapOn,plus(n0,n0)),
inference(resolve,[status(thm)],[c_204,c_10282]) ).
cnf(c_417,plain,
happens(tapOn,n0),
inference(paramod,[status(thm)],[c_117,c_10283]) ).
cnf(c_427,plain,
terminates(overflow,filling,A),
inference(xxres,[status(thm)],[c_206]) ).
cnf(c_431,plain,
( less(sK0(B,filling,C),C)
| ~ less(A,C)
| ~ less(B,A)
| ~ happens(overflow,A) ),
inference(resolve,[status(thm)],[c_427,c_70]) ).
cnf(c_432,plain,
( less(B,sK0(B,filling,C))
| ~ less(A,C)
| ~ less(B,A)
| ~ happens(overflow,A) ),
inference(resolve,[status(thm)],[c_427,c_69]) ).
cnf(c_456,plain,
initiates(tapOn,filling,A),
inference(xxres,[status(thm)],[c_214]) ).
cnf(c_461,plain,
( holdsAt(filling,plus(A,n1))
| ~ happens(tapOn,A) ),
inference(resolve,[status(thm)],[c_456,c_165]) ).
cnf(c_462,plain,
( ~ releasedAt(filling,plus(A,n1))
| ~ happens(tapOn,A) ),
inference(resolve,[status(thm)],[c_456,c_163]) ).
cnf(c_464,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_456,c_66]) ).
cnf(c_465,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_456,c_65]) ).
cnf(c_466,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_456,c_64]) ).
cnf(c_486,plain,
( ~ releasedAt(filling,plus(n1,A))
| ~ happens(tapOn,A) ),
inference(paramod,[status(thm)],[c_105,c_462]) ).
cnf(c_10284,plain,
holdsAt(filling,plus(n0,n1)),
inference(resolve,[status(thm)],[c_461,c_417]) ).
cnf(c_10285,plain,
holdsAt(filling,plus(n1,n0)),
inference(paramod,[status(thm)],[c_105,c_10284]) ).
cnf(c_488,plain,
holdsAt(filling,n1),
inference(paramod,[status(thm)],[c_116,c_10285]) ).
cnf(c_10286,plain,
( holdsAt(filling,plus(n1,n1))
| happens(sK4(filling,n1),n1)
| releasedAt(filling,plus(n1,n1)) ),
inference(resolve,[status(thm)],[c_488,c_172]) ).
cnf(c_10287,plain,
( holdsAt(filling,plus(n1,n1))
| happens(sK4(filling,n1),n1)
| releasedAt(filling,n2) ),
inference(paramod,[status(thm)],[c_112,c_10286]) ).
cnf(c_489,plain,
( holdsAt(filling,n2)
| happens(sK4(filling,n1),n1)
| releasedAt(filling,n2) ),
inference(paramod,[status(thm)],[c_112,c_10287]) ).
cnf(c_498,plain,
sK3(tapOn,waterLevel(A),B) = A,
inference(resolve,[status(thm)],[c_224,c_119]) ).
cnf(c_10288,plain,
( ~ releasedAt(filling,n1)
| ~ happens(tapOn,n0) ),
inference(paramod,[status(thm)],[c_116,c_486]) ).
cnf(c_503,plain,
~ releasedAt(filling,n1),
inference(resolve,[status(thm)],[c_417,c_10288]) ).
cnf(c_505,plain,
( ~ less(A,n1)
| n0 = A
| n1 = A ),
inference(resolve,[status(thm)],[c_328,c_82]) ).
cnf(c_577,plain,
( less_or_equal(A,n2)
| n3 = A
| n4 = A
| less(n4,A) ),
inference(resolve,[status(thm)],[c_301,c_96]) ).
cnf(c_582,plain,
( less_or_equal(A,n1)
| n2 = A
| n3 = A
| less(n3,A) ),
inference(resolve,[status(thm)],[c_306,c_98]) ).
cnf(c_10289,plain,
( n0 = A
| n1 = A
| n1 = A
| n2 = A
| less(n2,A) ),
inference(resolve,[status(thm)],[c_319,c_505]) ).
cnf(c_587,plain,
( n0 = A
| n1 = A
| n2 = A
| less(n2,A) ),
inference(copy,[status(thm)],[c_10289]) ).
cnf(c_751,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_464,c_417]) ).
cnf(c_754,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_465,c_417]) ).
cnf(c_756,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_466,c_417]) ).
cnf(c_10290,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_489,c_201]) ).
cnf(c_10291,plain,
( releasedAt(filling,n1)
| holdsAt(filling,n2)
| happens(sK4(filling,n1),n1) ),
inference(resolve,[status(thm)],[c_123,c_10290]) ).
cnf(c_802,plain,
( holdsAt(filling,n2)
| happens(sK4(filling,n1),n1) ),
inference(resolve,[status(thm)],[c_503,c_10291]) ).
cnf(c_10292,plain,
( holdsAt(waterLevel(n3),n1)
| n0 = n1
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_802,c_132]) ).
cnf(c_805,plain,
( holdsAt(waterLevel(n3),n1)
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_235,c_10292]) ).
cnf(c_10293,plain,
( overflow != A
| ~ holdsAt(filling,n1)
| happens(A,n1)
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_805,c_128]) ).
cnf(c_812,plain,
( overflow != A
| happens(A,n1)
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_488,c_10293]) ).
cnf(c_813,plain,
( n3 = A
| ~ holdsAt(waterLevel(A),n1)
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_805,c_127]) ).
cnf(c_10294,plain,
A = sK3(tapOn,waterLevel(A),B),
inference(copy,[status(thm)],[c_498]) ).
cnf(c_10295,plain,
( happens(sK3(tapOn,waterLevel(overflow),A),n1)
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_812,c_10294]) ).
cnf(c_839,plain,
( happens(overflow,n1)
| holdsAt(filling,n2) ),
inference(paramod,[status(thm)],[c_498,c_10295]) ).
cnf(c_846,plain,
( less(A,sK0(A,filling,B))
| ~ less(n1,B)
| ~ less(A,n1)
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_839,c_432]) ).
cnf(c_847,plain,
( less(sK0(A,filling,B),B)
| ~ less(n1,B)
| ~ less(A,n1)
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_839,c_431]) ).
cnf(c_940,plain,
( n2 = A
| less(A,n2)
| n3 = A
| n4 = A
| less(n4,A) ),
inference(resolve,[status(thm)],[c_577,c_104]) ).
cnf(c_941,plain,
( n1 = A
| less(A,n1)
| n2 = A
| n3 = A
| less(n3,A) ),
inference(resolve,[status(thm)],[c_582,c_104]) ).
cnf(c_944,plain,
( ~ less(A,n2)
| n0 = A
| n1 = A
| n2 = A ),
inference(resolve,[status(thm)],[c_587,c_82]) ).
cnf(c_996,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_751,c_79]) ).
cnf(c_1009,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_754,c_79]) ).
cnf(c_1018,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_756,c_79]) ).
cnf(c_1279,plain,
( less(n0,sK0(n0,filling,A))
| ~ less(n1,A)
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_846,c_225]) ).
cnf(c_1308,plain,
( less(sK0(n0,filling,A),A)
| ~ less(n1,A)
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_847,c_225]) ).
cnf(c_10296,plain,
( n2 = n1
| n3 = n1
| n4 = n1
| less(n4,n1)
| less(n0,sK0(n0,filling,n2))
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_1279,c_940]) ).
cnf(c_10297,plain,
( n2 = n1
| n3 = n1
| n4 = n1
| less(n0,sK0(n0,filling,n2))
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_308,c_10296]) ).
cnf(c_10298,plain,
( n2 = n1
| n3 = n1
| less(n0,sK0(n0,filling,n2))
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_309,c_10297]) ).
cnf(c_10299,plain,
( n2 = n1
| less(n0,sK0(n0,filling,n2))
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_275,c_10298]) ).
cnf(c_2387,plain,
( less(n0,sK0(n0,filling,n2))
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_238,c_10299]) ).
cnf(c_10300,plain,
( holdsAt(filling,plus(n2,n1))
| happens(sK4(filling,n2),n2)
| releasedAt(filling,plus(n2,n1))
| less(n0,sK0(n0,filling,n2)) ),
inference(resolve,[status(thm)],[c_2387,c_172]) ).
cnf(c_10301,plain,
( holdsAt(filling,plus(n2,n1))
| happens(sK4(filling,n2),n2)
| releasedAt(filling,plus(n1,n2))
| less(n0,sK0(n0,filling,n2)) ),
inference(paramod,[status(thm)],[c_105,c_10300]) ).
cnf(c_10302,plain,
( holdsAt(filling,plus(n2,n1))
| happens(sK4(filling,n2),n2)
| releasedAt(filling,n3)
| less(n0,sK0(n0,filling,n2)) ),
inference(paramod,[status(thm)],[c_111,c_10301]) ).
cnf(c_10303,plain,
( holdsAt(filling,plus(n1,n2))
| happens(sK4(filling,n2),n2)
| releasedAt(filling,n3)
| less(n0,sK0(n0,filling,n2)) ),
inference(paramod,[status(thm)],[c_105,c_10302]) ).
cnf(c_10304,plain,
( holdsAt(filling,n3)
| happens(sK4(filling,n2),n2)
| releasedAt(filling,n3)
| less(n0,sK0(n0,filling,n2)) ),
inference(paramod,[status(thm)],[c_111,c_10303]) ).
cnf(c_10305,plain,
( holdsAt(filling,n3)
| happens(sK4(filling,n2),n2)
| less(n0,sK0(n0,filling,n2)) ),
inference(resolve,[status(thm)],[c_73,c_10304]) ).
cnf(c_2405,negated_conjecture,
( happens(sK4(filling,n2),n2)
| less(n0,sK0(n0,filling,n2)) ),
inference(resolve,[status(thm)],[c_72,c_10305]) ).
cnf(c_10306,plain,
( holdsAt(waterLevel(n3),n2)
| n0 = n2
| less(n0,sK0(n0,filling,n2)) ),
inference(resolve,[status(thm)],[c_2405,c_132]) ).
cnf(c_10307,plain,
( holdsAt(waterLevel(n3),n2)
| n2 = n0
| less(n0,sK0(n0,filling,n2)) ),
inference(copy,[status(thm)],[c_10306]) ).
cnf(c_2424,plain,
( holdsAt(waterLevel(n3),n2)
| less(n0,sK0(n0,filling,n2)) ),
inference(resolve,[status(thm)],[c_271,c_10307]) ).
cnf(c_2434,plain,
( n3 = A
| ~ holdsAt(waterLevel(A),n2)
| less(n0,sK0(n0,filling,n2)) ),
inference(resolve,[status(thm)],[c_2424,c_127]) ).
cnf(c_10308,plain,
( n2 = n1
| n3 = n1
| n4 = n1
| less(n4,n1)
| less(sK0(n0,filling,n2),n2)
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_1308,c_940]) ).
cnf(c_10309,plain,
( n2 = n1
| n3 = n1
| n4 = n1
| less(sK0(n0,filling,n2),n2)
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_308,c_10308]) ).
cnf(c_10310,plain,
( n2 = n1
| n3 = n1
| less(sK0(n0,filling,n2),n2)
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_309,c_10309]) ).
cnf(c_10311,plain,
( n2 = n1
| less(sK0(n0,filling,n2),n2)
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_275,c_10310]) ).
cnf(c_2754,plain,
( less(sK0(n0,filling,n2),n2)
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_238,c_10311]) ).
cnf(c_10312,plain,
( holdsAt(filling,plus(n2,n1))
| happens(sK4(filling,n2),n2)
| releasedAt(filling,plus(n2,n1))
| less(sK0(n0,filling,n2),n2) ),
inference(resolve,[status(thm)],[c_2754,c_172]) ).
cnf(c_10313,plain,
( holdsAt(filling,plus(n2,n1))
| happens(sK4(filling,n2),n2)
| releasedAt(filling,plus(n1,n2))
| less(sK0(n0,filling,n2),n2) ),
inference(paramod,[status(thm)],[c_105,c_10312]) ).
cnf(c_10314,plain,
( holdsAt(filling,plus(n2,n1))
| happens(sK4(filling,n2),n2)
| releasedAt(filling,n3)
| less(sK0(n0,filling,n2),n2) ),
inference(paramod,[status(thm)],[c_111,c_10313]) ).
cnf(c_10315,plain,
( holdsAt(filling,plus(n1,n2))
| happens(sK4(filling,n2),n2)
| releasedAt(filling,n3)
| less(sK0(n0,filling,n2),n2) ),
inference(paramod,[status(thm)],[c_105,c_10314]) ).
cnf(c_10316,plain,
( holdsAt(filling,n3)
| happens(sK4(filling,n2),n2)
| releasedAt(filling,n3)
| less(sK0(n0,filling,n2),n2) ),
inference(paramod,[status(thm)],[c_111,c_10315]) ).
cnf(c_10317,plain,
( holdsAt(filling,n3)
| happens(sK4(filling,n2),n2)
| less(sK0(n0,filling,n2),n2) ),
inference(resolve,[status(thm)],[c_73,c_10316]) ).
cnf(c_2772,negated_conjecture,
( happens(sK4(filling,n2),n2)
| less(sK0(n0,filling,n2),n2) ),
inference(resolve,[status(thm)],[c_72,c_10317]) ).
cnf(c_10318,plain,
( n1 = n0
| n2 = n0
| n3 = n0
| less(n3,n0)
| plus(n0,n1) != A
| less(sK0(n0,filling,plus(n0,n1)),plus(n0,n1))
| holdsAt(waterLevel(A),plus(n0,n1)) ),
inference(resolve,[status(thm)],[c_996,c_941]) ).
cnf(c_10319,plain,
( n1 = n0
| n2 = n0
| n3 = n0
| less(n3,n0)
| plus(n0,n1) != A
| less(sK0(n0,filling,plus(n0,n1)),plus(n0,n1))
| holdsAt(waterLevel(A),plus(n1,n0)) ),
inference(paramod,[status(thm)],[c_105,c_10318]) ).
cnf(c_10320,plain,
( n1 = n0
| n2 = n0
| n3 = n0
| less(n3,n0)
| plus(n0,n1) != A
| less(sK0(n0,filling,plus(n0,n1)),plus(n0,n1))
| holdsAt(waterLevel(A),n1) ),
inference(paramod,[status(thm)],[c_116,c_10319]) ).
cnf(c_10321,plain,
( n1 = n0
| n2 = n0
| n3 = n0
| less(n3,n0)
| plus(n0,n1) != A
| less(sK0(n0,filling,plus(n1,n0)),plus(n0,n1))
| holdsAt(waterLevel(A),n1) ),
inference(paramod,[status(thm)],[c_105,c_10320]) ).
cnf(c_10322,plain,
( n1 = n0
| n2 = n0
| n3 = n0
| less(n3,n0)
| plus(n0,n1) != A
| less(sK0(n0,filling,n1),plus(n0,n1))
| holdsAt(waterLevel(A),n1) ),
inference(paramod,[status(thm)],[c_116,c_10321]) ).
cnf(c_10323,plain,
( n1 = n0
| n2 = n0
| n3 = n0
| less(n3,n0)
| plus(n0,n1) != A
| less(sK0(n0,filling,n1),plus(n1,n0))
| holdsAt(waterLevel(A),n1) ),
inference(paramod,[status(thm)],[c_105,c_10322]) ).
cnf(c_10324,plain,
( n1 = n0
| n2 = n0
| n3 = n0
| less(n3,n0)
| plus(n0,n1) != A
| less(sK0(n0,filling,n1),n1)
| holdsAt(waterLevel(A),n1) ),
inference(paramod,[status(thm)],[c_116,c_10323]) ).
cnf(c_10325,plain,
( n1 = n0
| n2 = n0
| n3 = n0
| less(n3,n0)
| plus(n1,n0) != A
| less(sK0(n0,filling,n1),n1)
| holdsAt(waterLevel(A),n1) ),
inference(paramod,[status(thm)],[c_105,c_10324]) ).
cnf(c_10326,plain,
( n1 = n0
| n2 = n0
| n3 = n0
| less(n3,n0)
| n1 != A
| less(sK0(n0,filling,n1),n1)
| holdsAt(waterLevel(A),n1) ),
inference(paramod,[status(thm)],[c_116,c_10325]) ).
cnf(c_10327,plain,
( n0 = n1
| n2 = n0
| n3 = n0
| less(n3,n0)
| n1 != A
| less(sK0(n0,filling,n1),n1)
| holdsAt(waterLevel(A),n1) ),
inference(copy,[status(thm)],[c_10326]) ).
cnf(c_10328,plain,
( n0 = n1
| n2 = n0
| n3 = n0
| n1 != A
| less(sK0(n0,filling,n1),n1)
| holdsAt(waterLevel(A),n1) ),
inference(resolve,[status(thm)],[c_101,c_10327]) ).
cnf(c_10329,plain,
( n0 = n1
| n2 = n0
| n1 != A
| less(sK0(n0,filling,n1),n1)
| holdsAt(waterLevel(A),n1) ),
inference(resolve,[status(thm)],[c_305,c_10328]) ).
cnf(c_10330,plain,
( n0 = n1
| n1 != A
| less(sK0(n0,filling,n1),n1)
| holdsAt(waterLevel(A),n1) ),
inference(resolve,[status(thm)],[c_271,c_10329]) ).
cnf(c_2800,plain,
( n1 != A
| less(sK0(n0,filling,n1),n1)
| holdsAt(waterLevel(A),n1) ),
inference(resolve,[status(thm)],[c_235,c_10330]) ).
cnf(c_10331,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_996,c_940]) ).
cnf(c_10332,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_10331]) ).
cnf(c_10333,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_10332]) ).
cnf(c_10334,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_10333]) ).
cnf(c_10335,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_10334]) ).
cnf(c_10336,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_10335]) ).
cnf(c_10337,plain,
( n2 = n0
| n3 = n0
| n2 != A
| less(sK0(n0,filling,n2),n2)
| holdsAt(waterLevel(A),n2) ),
inference(resolve,[status(thm)],[c_340,c_10336]) ).
cnf(c_10338,plain,
( n2 = n0
| n2 != A
| less(sK0(n0,filling,n2),n2)
| holdsAt(waterLevel(A),n2) ),
inference(resolve,[status(thm)],[c_305,c_10337]) ).
cnf(c_2801,plain,
( n2 != A
| less(sK0(n0,filling,n2),n2)
| holdsAt(waterLevel(A),n2) ),
inference(resolve,[status(thm)],[c_271,c_10338]) ).
cnf(c_10339,plain,
( holdsAt(waterLevel(n3),n2)
| n0 = n2
| less(sK0(n0,filling,n2),n2) ),
inference(resolve,[status(thm)],[c_2772,c_132]) ).
cnf(c_10340,plain,
( holdsAt(waterLevel(n3),n2)
| n2 = n0
| less(sK0(n0,filling,n2),n2) ),
inference(copy,[status(thm)],[c_10339]) ).
cnf(c_2816,plain,
( holdsAt(waterLevel(n3),n2)
| less(sK0(n0,filling,n2),n2) ),
inference(resolve,[status(thm)],[c_271,c_10340]) ).
cnf(c_2826,plain,
( n3 = A
| ~ holdsAt(waterLevel(A),n2)
| less(sK0(n0,filling,n2),n2) ),
inference(resolve,[status(thm)],[c_2816,c_127]) ).
cnf(c_10341,plain,
( n1 = n0
| n2 = n0
| n3 = n0
| less(n3,n0)
| plus(n0,n1) != A
| less(n0,sK0(n0,filling,plus(n0,n1)))
| holdsAt(waterLevel(A),plus(n0,n1)) ),
inference(resolve,[status(thm)],[c_1009,c_941]) ).
cnf(c_10342,plain,
( n1 = n0
| n2 = n0
| n3 = n0
| less(n3,n0)
| plus(n0,n1) != A
| less(n0,sK0(n0,filling,plus(n0,n1)))
| holdsAt(waterLevel(A),plus(n1,n0)) ),
inference(paramod,[status(thm)],[c_105,c_10341]) ).
cnf(c_10343,plain,
( n1 = n0
| n2 = n0
| n3 = n0
| less(n3,n0)
| plus(n0,n1) != A
| less(n0,sK0(n0,filling,plus(n0,n1)))
| holdsAt(waterLevel(A),n1) ),
inference(paramod,[status(thm)],[c_116,c_10342]) ).
cnf(c_10344,plain,
( n1 = n0
| n2 = n0
| n3 = n0
| less(n3,n0)
| plus(n0,n1) != A
| less(n0,sK0(n0,filling,plus(n1,n0)))
| holdsAt(waterLevel(A),n1) ),
inference(paramod,[status(thm)],[c_105,c_10343]) ).
cnf(c_10345,plain,
( n1 = n0
| n2 = n0
| n3 = n0
| less(n3,n0)
| plus(n0,n1) != A
| less(n0,sK0(n0,filling,n1))
| holdsAt(waterLevel(A),n1) ),
inference(paramod,[status(thm)],[c_116,c_10344]) ).
cnf(c_10346,plain,
( n1 = n0
| n2 = n0
| n3 = n0
| less(n3,n0)
| plus(n1,n0) != A
| less(n0,sK0(n0,filling,n1))
| holdsAt(waterLevel(A),n1) ),
inference(paramod,[status(thm)],[c_105,c_10345]) ).
cnf(c_10347,plain,
( n1 = n0
| n2 = n0
| n3 = n0
| less(n3,n0)
| n1 != A
| less(n0,sK0(n0,filling,n1))
| holdsAt(waterLevel(A),n1) ),
inference(paramod,[status(thm)],[c_116,c_10346]) ).
cnf(c_10348,plain,
( n0 = n1
| n2 = n0
| n3 = n0
| less(n3,n0)
| n1 != A
| less(n0,sK0(n0,filling,n1))
| holdsAt(waterLevel(A),n1) ),
inference(copy,[status(thm)],[c_10347]) ).
cnf(c_10349,plain,
( n0 = n1
| n2 = n0
| n3 = n0
| n1 != A
| less(n0,sK0(n0,filling,n1))
| holdsAt(waterLevel(A),n1) ),
inference(resolve,[status(thm)],[c_101,c_10348]) ).
cnf(c_10350,plain,
( n0 = n1
| n2 = n0
| n1 != A
| less(n0,sK0(n0,filling,n1))
| holdsAt(waterLevel(A),n1) ),
inference(resolve,[status(thm)],[c_305,c_10349]) ).
cnf(c_10351,plain,
( n0 = n1
| n1 != A
| less(n0,sK0(n0,filling,n1))
| holdsAt(waterLevel(A),n1) ),
inference(resolve,[status(thm)],[c_271,c_10350]) ).
cnf(c_2992,plain,
( n1 != A
| less(n0,sK0(n0,filling,n1))
| holdsAt(waterLevel(A),n1) ),
inference(resolve,[status(thm)],[c_235,c_10351]) ).
cnf(c_10352,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_1009,c_940]) ).
cnf(c_10353,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_10352]) ).
cnf(c_10354,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_10353]) ).
cnf(c_10355,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_10354]) ).
cnf(c_10356,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_10355]) ).
cnf(c_10357,plain,
( n2 = n0
| n3 = n0
| n2 != A
| less(n0,sK0(n0,filling,n2))
| holdsAt(waterLevel(A),n2) ),
inference(resolve,[status(thm)],[c_340,c_10356]) ).
cnf(c_10358,plain,
( n2 = n0
| n2 != A
| less(n0,sK0(n0,filling,n2))
| holdsAt(waterLevel(A),n2) ),
inference(resolve,[status(thm)],[c_305,c_10357]) ).
cnf(c_2993,plain,
( n2 != A
| less(n0,sK0(n0,filling,n2))
| holdsAt(waterLevel(A),n2) ),
inference(resolve,[status(thm)],[c_271,c_10358]) ).
cnf(c_10359,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_1018,c_940]) ).
cnf(c_10360,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_10359]) ).
cnf(c_10361,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_10360]) ).
cnf(c_10362,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_10361]) ).
cnf(c_10363,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_10362]) ).
cnf(c_10364,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_10363]) ).
cnf(c_10365,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_340,c_10364]) ).
cnf(c_10366,plain,
( n2 = n0
| n2 != A
| happens(sK1(n0,filling,n2),sK0(n0,filling,n2))
| holdsAt(waterLevel(A),n2) ),
inference(resolve,[status(thm)],[c_305,c_10365]) ).
cnf(c_3060,plain,
( n2 != A
| happens(sK1(n0,filling,n2),sK0(n0,filling,n2))
| holdsAt(waterLevel(A),n2) ),
inference(resolve,[status(thm)],[c_271,c_10366]) ).
cnf(c_10367,plain,
A = sK3(tapOn,waterLevel(A),B),
inference(copy,[status(thm)],[c_498]) ).
cnf(c_10368,plain,
( less(sK0(n0,filling,n1),n1)
| holdsAt(waterLevel(sK3(tapOn,waterLevel(n1),A)),n1) ),
inference(resolve,[status(thm)],[c_2800,c_10367]) ).
cnf(c_4557,plain,
( less(sK0(n0,filling,n1),n1)
| holdsAt(waterLevel(n1),n1) ),
inference(paramod,[status(thm)],[c_498,c_10368]) ).
cnf(c_10369,plain,
( n3 = n1
| holdsAt(filling,n2)
| less(sK0(n0,filling,n1),n1) ),
inference(resolve,[status(thm)],[c_4557,c_813]) ).
cnf(c_4561,plain,
( holdsAt(filling,n2)
| less(sK0(n0,filling,n1),n1) ),
inference(resolve,[status(thm)],[c_275,c_10369]) ).
cnf(c_4566,plain,
( n1 = A
| ~ holdsAt(waterLevel(A),n1)
| less(sK0(n0,filling,n1),n1) ),
inference(resolve,[status(thm)],[c_4557,c_127]) ).
cnf(c_10370,plain,
( holdsAt(filling,plus(n2,n1))
| happens(sK4(filling,n2),n2)
| releasedAt(filling,plus(n2,n1))
| less(sK0(n0,filling,n1),n1) ),
inference(resolve,[status(thm)],[c_4561,c_172]) ).
cnf(c_10371,plain,
( holdsAt(filling,plus(n2,n1))
| happens(sK4(filling,n2),n2)
| releasedAt(filling,plus(n1,n2))
| less(sK0(n0,filling,n1),n1) ),
inference(paramod,[status(thm)],[c_105,c_10370]) ).
cnf(c_10372,plain,
( holdsAt(filling,plus(n2,n1))
| happens(sK4(filling,n2),n2)
| releasedAt(filling,n3)
| less(sK0(n0,filling,n1),n1) ),
inference(paramod,[status(thm)],[c_111,c_10371]) ).
cnf(c_10373,plain,
( holdsAt(filling,plus(n1,n2))
| happens(sK4(filling,n2),n2)
| releasedAt(filling,n3)
| less(sK0(n0,filling,n1),n1) ),
inference(paramod,[status(thm)],[c_105,c_10372]) ).
cnf(c_10374,plain,
( holdsAt(filling,n3)
| happens(sK4(filling,n2),n2)
| releasedAt(filling,n3)
| less(sK0(n0,filling,n1),n1) ),
inference(paramod,[status(thm)],[c_111,c_10373]) ).
cnf(c_10375,plain,
( holdsAt(filling,n3)
| happens(sK4(filling,n2),n2)
| less(sK0(n0,filling,n1),n1) ),
inference(resolve,[status(thm)],[c_73,c_10374]) ).
cnf(c_4567,negated_conjecture,
( happens(sK4(filling,n2),n2)
| less(sK0(n0,filling,n1),n1) ),
inference(resolve,[status(thm)],[c_72,c_10375]) ).
cnf(c_10376,plain,
( holdsAt(waterLevel(n3),n2)
| n0 = n2
| less(sK0(n0,filling,n1),n1) ),
inference(resolve,[status(thm)],[c_4567,c_132]) ).
cnf(c_10377,plain,
( holdsAt(waterLevel(n3),n2)
| n2 = n0
| less(sK0(n0,filling,n1),n1) ),
inference(copy,[status(thm)],[c_10376]) ).
cnf(c_4571,plain,
( holdsAt(waterLevel(n3),n2)
| less(sK0(n0,filling,n1),n1) ),
inference(resolve,[status(thm)],[c_271,c_10377]) ).
cnf(c_4603,plain,
( n3 = A
| ~ holdsAt(waterLevel(A),n2)
| less(sK0(n0,filling,n1),n1) ),
inference(resolve,[status(thm)],[c_4571,c_127]) ).
cnf(c_10378,plain,
A = sK3(tapOn,waterLevel(A),B),
inference(copy,[status(thm)],[c_498]) ).
cnf(c_10379,plain,
( less(sK0(n0,filling,n2),n2)
| holdsAt(waterLevel(sK3(tapOn,waterLevel(n2),A)),n2) ),
inference(resolve,[status(thm)],[c_2801,c_10378]) ).
cnf(c_4858,plain,
( less(sK0(n0,filling,n2),n2)
| holdsAt(waterLevel(n2),n2) ),
inference(paramod,[status(thm)],[c_498,c_10379]) ).
cnf(c_10380,plain,
( less(sK0(n0,filling,n2),n2)
| n3 = n2
| less(sK0(n0,filling,n2),n2) ),
inference(resolve,[status(thm)],[c_2826,c_4858]) ).
cnf(c_10381,plain,
( less(sK0(n0,filling,n2),n2)
| n2 = n3
| less(sK0(n0,filling,n2),n2) ),
inference(copy,[status(thm)],[c_10380]) ).
cnf(c_10382,plain,
( n2 = n3
| less(sK0(n0,filling,n2),n2) ),
inference(copy,[status(thm)],[c_10381]) ).
cnf(c_7748,plain,
less(sK0(n0,filling,n2),n2),
inference(resolve,[status(thm)],[c_241,c_10382]) ).
cnf(c_10383,plain,
( n0 = sK0(n0,filling,n2)
| n1 = sK0(n0,filling,n2)
| n2 = sK0(n0,filling,n2) ),
inference(resolve,[status(thm)],[c_7748,c_944]) ).
cnf(c_10384,plain,
( n0 = sK0(n0,filling,n2)
| n1 = sK0(n0,filling,n2)
| sK0(n0,filling,n2) = n2 ),
inference(copy,[status(thm)],[c_10383]) ).
cnf(c_10385,plain,
( n0 = sK0(n0,filling,n2)
| sK0(n0,filling,n2) = n1
| sK0(n0,filling,n2) = n2 ),
inference(copy,[status(thm)],[c_10384]) ).
cnf(c_7749,plain,
( sK0(n0,filling,n2) = n0
| sK0(n0,filling,n2) = n1
| sK0(n0,filling,n2) = n2 ),
inference(copy,[status(thm)],[c_10385]) ).
cnf(c_10386,plain,
n2 != sK0(n0,filling,n2),
inference(resolve,[status(thm)],[c_7748,c_81]) ).
cnf(c_7761,plain,
sK0(n0,filling,n2) != n2,
inference(copy,[status(thm)],[c_10386]) ).
cnf(c_7770,plain,
( sK0(n0,filling,n2) = n0
| sK0(n0,filling,n2) = n1 ),
inference(resolve,[status(thm)],[c_7761,c_7749]) ).
cnf(c_10387,plain,
A = sK3(tapOn,waterLevel(A),B),
inference(copy,[status(thm)],[c_498]) ).
cnf(c_10388,plain,
( less(n0,sK0(n0,filling,n1))
| holdsAt(waterLevel(sK3(tapOn,waterLevel(n1),A)),n1) ),
inference(resolve,[status(thm)],[c_2992,c_10387]) ).
cnf(c_7991,plain,
( less(n0,sK0(n0,filling,n1))
| holdsAt(waterLevel(n1),n1) ),
inference(paramod,[status(thm)],[c_498,c_10388]) ).
cnf(c_10389,plain,
( n3 = n1
| holdsAt(filling,n2)
| less(n0,sK0(n0,filling,n1)) ),
inference(resolve,[status(thm)],[c_7991,c_813]) ).
cnf(c_7995,plain,
( holdsAt(filling,n2)
| less(n0,sK0(n0,filling,n1)) ),
inference(resolve,[status(thm)],[c_275,c_10389]) ).
cnf(c_8000,plain,
( n1 = A
| ~ holdsAt(waterLevel(A),n1)
| less(n0,sK0(n0,filling,n1)) ),
inference(resolve,[status(thm)],[c_7991,c_127]) ).
cnf(c_10390,plain,
( holdsAt(filling,plus(n2,n1))
| happens(sK4(filling,n2),n2)
| releasedAt(filling,plus(n2,n1))
| less(n0,sK0(n0,filling,n1)) ),
inference(resolve,[status(thm)],[c_7995,c_172]) ).
cnf(c_10391,plain,
( holdsAt(filling,plus(n2,n1))
| happens(sK4(filling,n2),n2)
| releasedAt(filling,plus(n1,n2))
| less(n0,sK0(n0,filling,n1)) ),
inference(paramod,[status(thm)],[c_105,c_10390]) ).
cnf(c_10392,plain,
( holdsAt(filling,plus(n2,n1))
| happens(sK4(filling,n2),n2)
| releasedAt(filling,n3)
| less(n0,sK0(n0,filling,n1)) ),
inference(paramod,[status(thm)],[c_111,c_10391]) ).
cnf(c_10393,plain,
( holdsAt(filling,plus(n1,n2))
| happens(sK4(filling,n2),n2)
| releasedAt(filling,n3)
| less(n0,sK0(n0,filling,n1)) ),
inference(paramod,[status(thm)],[c_105,c_10392]) ).
cnf(c_10394,plain,
( holdsAt(filling,n3)
| happens(sK4(filling,n2),n2)
| releasedAt(filling,n3)
| less(n0,sK0(n0,filling,n1)) ),
inference(paramod,[status(thm)],[c_111,c_10393]) ).
cnf(c_10395,plain,
( holdsAt(filling,n3)
| happens(sK4(filling,n2),n2)
| less(n0,sK0(n0,filling,n1)) ),
inference(resolve,[status(thm)],[c_73,c_10394]) ).
cnf(c_8005,negated_conjecture,
( happens(sK4(filling,n2),n2)
| less(n0,sK0(n0,filling,n1)) ),
inference(resolve,[status(thm)],[c_72,c_10395]) ).
cnf(c_10396,plain,
( holdsAt(waterLevel(n3),n2)
| n0 = n2
| less(n0,sK0(n0,filling,n1)) ),
inference(resolve,[status(thm)],[c_8005,c_132]) ).
cnf(c_10397,plain,
( holdsAt(waterLevel(n3),n2)
| n2 = n0
| less(n0,sK0(n0,filling,n1)) ),
inference(copy,[status(thm)],[c_10396]) ).
cnf(c_8009,plain,
( holdsAt(waterLevel(n3),n2)
| less(n0,sK0(n0,filling,n1)) ),
inference(resolve,[status(thm)],[c_271,c_10397]) ).
cnf(c_8019,plain,
( n3 = A
| ~ holdsAt(waterLevel(A),n2)
| less(n0,sK0(n0,filling,n1)) ),
inference(resolve,[status(thm)],[c_8009,c_127]) ).
cnf(c_10398,plain,
A = sK3(tapOn,waterLevel(A),B),
inference(copy,[status(thm)],[c_498]) ).
cnf(c_10399,plain,
( less(n0,sK0(n0,filling,n2))
| holdsAt(waterLevel(sK3(tapOn,waterLevel(n2),A)),n2) ),
inference(resolve,[status(thm)],[c_2993,c_10398]) ).
cnf(c_9398,plain,
( less(n0,sK0(n0,filling,n2))
| holdsAt(waterLevel(n2),n2) ),
inference(paramod,[status(thm)],[c_498,c_10399]) ).
cnf(c_10400,plain,
( n3 = n2
| less(n0,sK0(n0,filling,n2))
| less(n0,sK0(n0,filling,n2)) ),
inference(resolve,[status(thm)],[c_9398,c_2434]) ).
cnf(c_10401,plain,
( n2 = n3
| less(n0,sK0(n0,filling,n2))
| less(n0,sK0(n0,filling,n2)) ),
inference(copy,[status(thm)],[c_10400]) ).
cnf(c_10402,plain,
( n2 = n3
| less(n0,sK0(n0,filling,n2)) ),
inference(copy,[status(thm)],[c_10401]) ).
cnf(c_9399,plain,
less(n0,sK0(n0,filling,n2)),
inference(resolve,[status(thm)],[c_241,c_10402]) ).
cnf(c_10403,plain,
( less(n0,n0)
| sK0(n0,filling,n2) = n1 ),
inference(paramod,[status(thm)],[c_7770,c_9399]) ).
cnf(c_9406,plain,
sK0(n0,filling,n2) = n1,
inference(resolve,[status(thm)],[c_181,c_10403]) ).
cnf(c_9411,plain,
( n2 != A
| happens(sK1(n0,filling,n2),n1)
| holdsAt(waterLevel(A),n2) ),
inference(paramod,[status(thm)],[c_9406,c_3060]) ).
cnf(c_10404,plain,
A = sK3(tapOn,waterLevel(A),B),
inference(copy,[status(thm)],[c_498]) ).
cnf(c_10405,plain,
( happens(sK1(n0,filling,n2),n1)
| holdsAt(waterLevel(sK3(tapOn,waterLevel(n2),A)),n2) ),
inference(resolve,[status(thm)],[c_9411,c_10404]) ).
cnf(c_9874,plain,
( happens(sK1(n0,filling,n2),n1)
| holdsAt(waterLevel(n2),n2) ),
inference(paramod,[status(thm)],[c_498,c_10405]) ).
cnf(c_10406,plain,
( holdsAt(waterLevel(n3),n1)
| n0 = n1
| holdsAt(waterLevel(n2),n2) ),
inference(resolve,[status(thm)],[c_9874,c_132]) ).
cnf(c_9894,plain,
( holdsAt(waterLevel(n3),n1)
| holdsAt(waterLevel(n2),n2) ),
inference(resolve,[status(thm)],[c_235,c_10406]) ).
cnf(c_10407,plain,
( n3 = n2
| less(n0,sK0(n0,filling,n1))
| holdsAt(waterLevel(n3),n1) ),
inference(resolve,[status(thm)],[c_9894,c_8019]) ).
cnf(c_10408,plain,
( n2 = n3
| less(n0,sK0(n0,filling,n1))
| holdsAt(waterLevel(n3),n1) ),
inference(copy,[status(thm)],[c_10407]) ).
cnf(c_9905,plain,
( less(n0,sK0(n0,filling,n1))
| holdsAt(waterLevel(n3),n1) ),
inference(resolve,[status(thm)],[c_241,c_10408]) ).
cnf(c_10409,plain,
( n3 = n2
| less(sK0(n0,filling,n1),n1)
| holdsAt(waterLevel(n3),n1) ),
inference(resolve,[status(thm)],[c_9894,c_4603]) ).
cnf(c_10410,plain,
( n2 = n3
| less(sK0(n0,filling,n1),n1)
| holdsAt(waterLevel(n3),n1) ),
inference(copy,[status(thm)],[c_10409]) ).
cnf(c_9914,plain,
( less(sK0(n0,filling,n1),n1)
| holdsAt(waterLevel(n3),n1) ),
inference(resolve,[status(thm)],[c_241,c_10410]) ).
cnf(c_10411,plain,
( n1 = n3
| less(n0,sK0(n0,filling,n1))
| less(n0,sK0(n0,filling,n1)) ),
inference(resolve,[status(thm)],[c_9905,c_8000]) ).
cnf(c_10412,plain,
( n3 = n1
| less(n0,sK0(n0,filling,n1))
| less(n0,sK0(n0,filling,n1)) ),
inference(copy,[status(thm)],[c_10411]) ).
cnf(c_10413,plain,
( n3 = n1
| less(n0,sK0(n0,filling,n1)) ),
inference(copy,[status(thm)],[c_10412]) ).
cnf(c_10055,plain,
less(n0,sK0(n0,filling,n1)),
inference(resolve,[status(thm)],[c_275,c_10413]) ).
cnf(c_10061,plain,
sK0(n0,filling,n1) != n0,
inference(resolve,[status(thm)],[c_10055,c_81]) ).
cnf(c_10414,plain,
( n1 = n3
| less(sK0(n0,filling,n1),n1)
| less(sK0(n0,filling,n1),n1) ),
inference(resolve,[status(thm)],[c_9914,c_4566]) ).
cnf(c_10415,plain,
( n3 = n1
| less(sK0(n0,filling,n1),n1)
| less(sK0(n0,filling,n1),n1) ),
inference(copy,[status(thm)],[c_10414]) ).
cnf(c_10416,plain,
( n3 = n1
| less(sK0(n0,filling,n1),n1) ),
inference(copy,[status(thm)],[c_10415]) ).
cnf(c_10108,plain,
less(sK0(n0,filling,n1),n1),
inference(resolve,[status(thm)],[c_275,c_10416]) ).
cnf(c_10417,plain,
( n0 = sK0(n0,filling,n1)
| n1 = sK0(n0,filling,n1) ),
inference(resolve,[status(thm)],[c_10108,c_505]) ).
cnf(c_10418,plain,
( n0 = sK0(n0,filling,n1)
| sK0(n0,filling,n1) = n1 ),
inference(copy,[status(thm)],[c_10417]) ).
cnf(c_10419,plain,
( sK0(n0,filling,n1) = n0
| sK0(n0,filling,n1) = n1 ),
inference(copy,[status(thm)],[c_10418]) ).
cnf(c_10272,plain,
sK0(n0,filling,n1) = n1,
inference(resolve,[status(thm)],[c_10061,c_10419]) ).
cnf(c_10420,plain,
n1 != sK0(n0,filling,n1),
inference(resolve,[status(thm)],[c_10108,c_81]) ).
cnf(c_10421,plain,
n1 != n1,
inference(paramod,[status(thm)],[c_10272,c_10420]) ).
cnf(c_10274,plain,
$false,
inference(copy,[status(thm)],[c_10421]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR005+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n010.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Sat Sep 26 23:55:15 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.35 % Process 336972 was started by sandbox on n010,
% 0.09/0.35 % Sat Sep 26 23:55:15 2026
% 0.09/0.35 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.36
% 0.09/0.36 % From the command line: assign(max_seconds, 300).
% 33.26/6.59
% 33.26/6.59 % given #500 (T,wt=9): 656 less(n1,A) | n1 = A | -less(n4,A). [resolve(639,c,82,b)].
% 33.26/6.59
% 33.26/6.59 % given #1000 (T,wt=11): 2023 f5(filling,n2) = overflow | -less(n9,f4(n0,n2,spilling)). [resolve(2015,b,82,b)].
% 33.26/6.59
% 33.26/6.59 % given #1500 (T,wt=6): 3818 less(f2(n0,filling,n3),n8). [back_unit_del(3803),unit_del(a,3812)].
% 33.26/6.59
% 33.26/6.59 % given #2000 (T,wt=9): 5380 holdsAt(filling,n2) | f1(n0,filling,n5) = overflow. [resolve(4935,b,130,a),flip(b),flip(c),unit_del(b,3694)].
% 33.26/6.59
% 33.26/6.59 % given #2500 (T,wt=6): 6894 less_or_equal(f4(n0,n6,spilling),n6). [resolve(6889,a,103,b)].
% 33.26/6.59
% 33.26/6.59 % given #3000 (T,wt=10): 8055 f9(tapOff,waterLevel(n3),n2) = n3 | happens(overflow,n2). [back_rewrite(3521),rewrite([8025(10)])].
% 33.26/6.59
% 33.26/6.59 % SZS status Theorem for theBenchmark
% 33.26/6.59
% 33.26/6.59 % Proof 1 at 3.42 (+ 0.84) seconds.
% 33.26/6.59 % Length of proof is 196.
% 33.26/6.59 % Level of proof is 28.
% 33.26/6.59 % Maximum clause weight is 38.000.
% 33.26/6.59 % Given clauses 3425.
% 33.26/6.59
% 33.26/6.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------