%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR005+1 : 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 : n016.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 63.57s 8.78s
% Output : CNFRefutation 63.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 74
% Number of leaves : 30
% Syntax : Number of formulae : 385 ( 76 unt; 0 def)
% Number of atoms : 1275 ( 417 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 1195 ( 305 ~; 816 |; 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 : 445 ( 29 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(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(sK0(Time1,Fluent,Time2),Fluent,sK1(Time1,Fluent,Time2))
& less(sK1(Time1,Fluent,Time2),Time2)
& less(Time1,sK1(Time1,Fluent,Time2))
& happens(sK0(Time1,Fluent,Time2),sK1(Time1,Fluent,Time2)) )
| ~ stoppedIn(Time1,Fluent,Time2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0(Time1,Fluent,Time2)),skolemize(X1,sK1(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(sK0(VAR_0,VAR_1,VAR_2),VAR_1,sK1(VAR_0,VAR_1,VAR_2))
| ~ stoppedIn(VAR_0,VAR_1,VAR_2) )
& ! [VAR_0,VAR_1,VAR_2] :
( less(sK1(VAR_0,VAR_1,VAR_2),VAR_2)
| ~ stoppedIn(VAR_0,VAR_1,VAR_2) )
& ! [VAR_0,VAR_1,VAR_2] :
( less(VAR_0,sK1(VAR_0,VAR_1,VAR_2))
| ~ stoppedIn(VAR_0,VAR_1,VAR_2) )
& ! [VAR_0,VAR_1,VAR_2] :
( happens(sK0(VAR_0,VAR_1,VAR_2),sK1(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_38,plain,
( terminates(sK0(A,B,C),B,sK1(A,B,C))
| ~ stoppedIn(A,B,C) ),
inference(split_conjunct,[status(thm)],[sk_stoppedin_defn]) ).
cnf(c_39,plain,
( less(sK1(A,B,C),C)
| ~ stoppedIn(A,B,C) ),
inference(split_conjunct,[status(thm)],[sk_stoppedin_defn]) ).
cnf(c_40,plain,
( less(A,sK1(A,B,C))
| ~ stoppedIn(A,B,C) ),
inference(split_conjunct,[status(thm)],[sk_stoppedin_defn]) ).
cnf(c_41,plain,
( happens(sK0(A,B,C),sK1(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_49,plain,
( terminates(sK0(B,C,plus(B,D)),C,sK1(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_38]) ).
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(sK1(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,sK1(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(sK0(B,C,plus(B,D)),sK1(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(sK0(B,filling,plus(B,C)),sK1(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,sK1(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(sK1(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_67,plain,
( plus(E,C) != D
| ~ holdsAt(waterLevel(E),B)
| terminates(sK0(B,filling,plus(B,C)),filling,sK1(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_49,c_50]) ).
cnf(c_69,plain,
( less(C,sK1(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(sK1(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(waterLevel_0,axiom,
holdsAt(waterLevel(n0),n0),
file('theBenchmark.p',waterLevel_0) ).
cnf(c_78,plain,
holdsAt(waterLevel(n0),n0),
inference(clausify,[status(thm)],[waterLevel_0]) ).
cnf(c_79,plain,
( B = A
| less(B,A)
| less(A,B) ),
inference(clausify,[status(thm)],[less_property]) ).
cnf(c_80,plain,
( B != A
| ~ less(A,B) ),
inference(clausify,[status(thm)],[less_property]) ).
cnf(c_81,plain,
( ~ less(B,A)
| ~ less(A,B) ),
inference(clausify,[status(thm)],[less_property]) ).
cnf(c_92,plain,
( ~ less_or_equal(A,n3)
| less(A,n4) ),
inference(clausify,[status(thm)],[less4]) ).
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,n2)
| less(A,n3) ),
inference(clausify,[status(thm)],[less3]) ).
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,n1)
| less(A,n2) ),
inference(clausify,[status(thm)],[less2]) ).
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,n0)
| less(A,n1) ),
inference(clausify,[status(thm)],[less1]) ).
cnf(c_99,plain,
( less_or_equal(A,n0)
| ~ less(A,n1) ),
inference(clausify,[status(thm)],[less1]) ).
cnf(c_100,plain,
~ less(A,n0),
inference(clausify,[status(thm)],[less0]) ).
cnf(c_101,plain,
( B != A
| less_or_equal(A,B) ),
inference(clausify,[status(thm)],[less_or_equal]) ).
cnf(c_102,plain,
( ~ less(A,B)
| less_or_equal(A,B) ),
inference(clausify,[status(thm)],[less_or_equal]) ).
cnf(c_103,plain,
( B = A
| less(A,B)
| ~ less_or_equal(A,B) ),
inference(clausify,[status(thm)],[less_or_equal]) ).
cnf(c_104,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_110,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_111,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_113,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_114,plain,
plus(n0,n1) = n1,
inference(clausify,[status(thm)],[plus0_1]) ).
cnf(c_115,plain,
plus(n1,n0) = n1,
inference(paramod,[status(thm)],[c_104,c_114]) ).
fof(plus0_0,axiom,
plus(n0,n0) = n0,
file('theBenchmark.p',plus0_0) ).
cnf(c_116,plain,
plus(n0,n0) = n0,
inference(clausify,[status(thm)],[plus0_0]) ).
cnf(c_118,plain,
( A = B
| waterLevel(A) != waterLevel(B) ),
inference(clausify,[status(thm)],[distinct_waterLevels]) ).
cnf(c_122,plain,
waterLevel(A) != filling,
inference(clausify,[status(thm)],[filling_not_waterLevel]) ).
cnf(c_126,plain,
( C = A
| ~ holdsAt(waterLevel(C),B)
| ~ holdsAt(waterLevel(A),B) ),
inference(clausify,[status(thm)],[same_waterLevel]) ).
cnf(c_127,plain,
( overflow != A
| ~ holdsAt(filling,B)
| ~ holdsAt(waterLevel(n3),B)
| happens(A,B) ),
inference(clausify,[status(thm)],[happens_all_defn]) ).
cnf(c_128,plain,
( n0 != B
| tapOn != A
| happens(A,B) ),
inference(clausify,[status(thm)],[happens_all_defn]) ).
cnf(c_131,plain,
( holdsAt(waterLevel(n3),B)
| n0 = B
| ~ happens(A,B) ),
inference(clausify,[status(thm)],[happens_all_defn]) ).
cnf(c_135,plain,
( filling != B
| overflow != A
| terminates(A,B,C) ),
inference(clausify,[status(thm)],[terminates_all_defn]) ).
cnf(c_142,plain,
( filling != B
| tapOn != A
| initiates(A,B,C) ),
inference(clausify,[status(thm)],[initiates_all_defn]) ).
cnf(c_162,plain,
( ~ releasedAt(C,plus(B,n1))
| ~ initiates(A,C,B)
| ~ happens(A,B) ),
inference(clausify,[status(thm)],[happens_not_released]) ).
cnf(c_163,plain,
( ~ holdsAt(C,plus(B,n1))
| ~ terminates(A,C,B)
| ~ happens(A,B) ),
inference(clausify,[status(thm)],[happens_terminates_not_holds]) ).
cnf(c_164,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_171,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_180,plain,
~ less(A,A),
inference(factor,[status(thm)],[c_81]) ).
cnf(c_181,plain,
( waterLevel(sK3(tapOn,B,C)) = B
| waterLevel(A) != B ),
inference(xxres,[status(thm)],[c_60]) ).
cnf(c_11335,plain,
( A = n4
| less(n4,A)
| less_or_equal(A,n3) ),
inference(resolve,[status(thm)],[c_93,c_79]) ).
cnf(c_189,plain,
( n4 = A
| less(n4,A)
| less_or_equal(A,n3) ),
inference(copy,[status(thm)],[c_11335]) ).
cnf(c_11336,plain,
( A = n3
| less(n3,A)
| less_or_equal(A,n2) ),
inference(resolve,[status(thm)],[c_95,c_79]) ).
cnf(c_190,plain,
( n3 = A
| less(n3,A)
| less_or_equal(A,n2) ),
inference(copy,[status(thm)],[c_11336]) ).
cnf(c_11337,plain,
( A = n2
| less(n2,A)
| less_or_equal(A,n1) ),
inference(resolve,[status(thm)],[c_97,c_79]) ).
cnf(c_191,plain,
( n2 = A
| less(n2,A)
| less_or_equal(A,n1) ),
inference(copy,[status(thm)],[c_11337]) ).
cnf(c_11338,plain,
( A = n1
| less(n1,A)
| less_or_equal(A,n0) ),
inference(resolve,[status(thm)],[c_99,c_79]) ).
cnf(c_192,plain,
( n1 = A
| less(n1,A)
| less_or_equal(A,n0) ),
inference(copy,[status(thm)],[c_11338]) ).
cnf(c_11339,plain,
( A = n0
| less(n0,A) ),
inference(resolve,[status(thm)],[c_100,c_79]) ).
cnf(c_193,plain,
( n0 = A
| less(n0,A) ),
inference(copy,[status(thm)],[c_11339]) ).
cnf(c_194,plain,
less_or_equal(A,A),
inference(xxres,[status(thm)],[c_101]) ).
cnf(c_198,plain,
( ~ releasedAt(A,plus(n1,B))
| releasedAt(A,B)
| waterLevel(sK3(sK2(A,B),A,B)) = A ),
inference(paramod,[status(thm)],[c_104,c_61]) ).
cnf(c_200,plain,
( ~ releasedAt(A,n2)
| releasedAt(A,n1)
| waterLevel(sK3(sK2(A,n1),A,n1)) = A ),
inference(paramod,[status(thm)],[c_111,c_61]) ).
cnf(c_203,plain,
( n0 != A
| happens(tapOn,A) ),
inference(xxres,[status(thm)],[c_128]) ).
cnf(c_205,plain,
( filling != A
| terminates(overflow,A,B) ),
inference(xxres,[status(thm)],[c_135]) ).
cnf(c_213,plain,
( filling != A
| initiates(tapOn,A,B) ),
inference(xxres,[status(thm)],[c_142]) ).
cnf(c_223,plain,
waterLevel(sK3(tapOn,waterLevel(A),B)) = waterLevel(A),
inference(xxres,[status(thm)],[c_181]) ).
cnf(c_224,plain,
less(n0,n1),
inference(resolve,[status(thm)],[c_194,c_98]) ).
cnf(c_225,plain,
less(n1,n2),
inference(resolve,[status(thm)],[c_194,c_96]) ).
cnf(c_226,plain,
less(n2,n3),
inference(resolve,[status(thm)],[c_194,c_94]) ).
cnf(c_233,plain,
less_or_equal(n0,n1),
inference(resolve,[status(thm)],[c_224,c_102]) ).
cnf(c_11340,plain,
n1 != n0,
inference(resolve,[status(thm)],[c_224,c_80]) ).
cnf(c_234,plain,
n0 != n1,
inference(copy,[status(thm)],[c_11340]) ).
cnf(c_235,plain,
less_or_equal(n1,n2),
inference(resolve,[status(thm)],[c_225,c_102]) ).
cnf(c_237,plain,
n2 != n1,
inference(resolve,[status(thm)],[c_225,c_80]) ).
cnf(c_11341,plain,
n3 != n2,
inference(resolve,[status(thm)],[c_226,c_80]) ).
cnf(c_240,plain,
n2 != n3,
inference(copy,[status(thm)],[c_11341]) ).
cnf(c_259,plain,
less(n0,n2),
inference(resolve,[status(thm)],[c_233,c_96]) ).
cnf(c_260,plain,
less(n1,n3),
inference(resolve,[status(thm)],[c_235,c_94]) ).
cnf(c_269,plain,
less_or_equal(n0,n2),
inference(resolve,[status(thm)],[c_259,c_102]) ).
cnf(c_270,plain,
n2 != n0,
inference(resolve,[status(thm)],[c_259,c_80]) ).
cnf(c_273,plain,
~ less(n3,n1),
inference(resolve,[status(thm)],[c_260,c_81]) ).
cnf(c_274,plain,
n3 != n1,
inference(resolve,[status(thm)],[c_260,c_80]) ).
cnf(c_294,plain,
less(n0,n3),
inference(resolve,[status(thm)],[c_269,c_94]) ).
cnf(c_300,plain,
( n3 = A
| less(A,n3)
| n4 = A
| less(n4,A) ),
inference(resolve,[status(thm)],[c_189,c_103]) ).
cnf(c_303,plain,
less_or_equal(n0,n3),
inference(resolve,[status(thm)],[c_294,c_102]) ).
cnf(c_304,plain,
n3 != n0,
inference(resolve,[status(thm)],[c_294,c_80]) ).
cnf(c_305,plain,
( n2 = A
| less(A,n2)
| n3 = A
| less(n3,A) ),
inference(resolve,[status(thm)],[c_190,c_103]) ).
cnf(c_318,plain,
( n1 = A
| less(A,n1)
| n2 = A
| less(n2,A) ),
inference(resolve,[status(thm)],[c_191,c_103]) ).
cnf(c_325,plain,
less(n0,n4),
inference(resolve,[status(thm)],[c_303,c_92]) ).
cnf(c_11342,plain,
( n0 = A
| less(A,n0)
| n1 = A
| less(n1,A) ),
inference(resolve,[status(thm)],[c_192,c_103]) ).
cnf(c_327,plain,
( n0 = A
| n1 = A
| less(n1,A) ),
inference(resolve,[status(thm)],[c_100,c_11342]) ).
cnf(c_339,plain,
n4 != n0,
inference(resolve,[status(thm)],[c_325,c_80]) ).
cnf(c_377,plain,
( ~ releasedAt(A,n3)
| releasedAt(A,n2)
| waterLevel(sK3(sK2(A,n2),A,n2)) = A ),
inference(paramod,[status(thm)],[c_110,c_198]) ).
cnf(c_11343,plain,
n0 = plus(n0,n0),
inference(copy,[status(thm)],[c_116]) ).
cnf(c_11344,plain,
happens(tapOn,plus(n0,n0)),
inference(resolve,[status(thm)],[c_203,c_11343]) ).
cnf(c_416,plain,
happens(tapOn,n0),
inference(paramod,[status(thm)],[c_116,c_11344]) ).
cnf(c_426,plain,
terminates(overflow,filling,A),
inference(xxres,[status(thm)],[c_205]) ).
cnf(c_430,plain,
( less(sK1(B,filling,C),C)
| ~ less(A,C)
| ~ less(B,A)
| ~ happens(overflow,A) ),
inference(resolve,[status(thm)],[c_426,c_70]) ).
cnf(c_431,plain,
( less(B,sK1(B,filling,C))
| ~ less(A,C)
| ~ less(B,A)
| ~ happens(overflow,A) ),
inference(resolve,[status(thm)],[c_426,c_69]) ).
cnf(c_454,plain,
initiates(tapOn,filling,A),
inference(xxres,[status(thm)],[c_213]) ).
cnf(c_459,plain,
( holdsAt(filling,plus(A,n1))
| ~ happens(tapOn,A) ),
inference(resolve,[status(thm)],[c_454,c_164]) ).
cnf(c_460,plain,
( ~ releasedAt(filling,plus(A,n1))
| ~ happens(tapOn,A) ),
inference(resolve,[status(thm)],[c_454,c_162]) ).
cnf(c_461,plain,
( plus(D,B) != C
| ~ holdsAt(waterLevel(D),A)
| terminates(sK0(A,filling,plus(A,B)),filling,sK1(A,filling,plus(A,B)))
| holdsAt(waterLevel(C),plus(A,B))
| ~ less(n0,B)
| ~ happens(tapOn,A) ),
inference(resolve,[status(thm)],[c_454,c_67]) ).
cnf(c_462,plain,
( plus(D,B) != C
| ~ holdsAt(waterLevel(D),A)
| less(sK1(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_454,c_66]) ).
cnf(c_463,plain,
( plus(D,B) != C
| ~ holdsAt(waterLevel(D),A)
| less(A,sK1(A,filling,plus(A,B)))
| holdsAt(waterLevel(C),plus(A,B))
| ~ less(n0,B)
| ~ happens(tapOn,A) ),
inference(resolve,[status(thm)],[c_454,c_65]) ).
cnf(c_464,plain,
( plus(D,B) != C
| ~ holdsAt(waterLevel(D),A)
| happens(sK0(A,filling,plus(A,B)),sK1(A,filling,plus(A,B)))
| holdsAt(waterLevel(C),plus(A,B))
| ~ less(n0,B)
| ~ happens(tapOn,A) ),
inference(resolve,[status(thm)],[c_454,c_64]) ).
cnf(c_484,plain,
( ~ releasedAt(filling,plus(n1,A))
| ~ happens(tapOn,A) ),
inference(paramod,[status(thm)],[c_104,c_460]) ).
cnf(c_11345,plain,
holdsAt(filling,plus(n0,n1)),
inference(resolve,[status(thm)],[c_459,c_416]) ).
cnf(c_11346,plain,
holdsAt(filling,plus(n1,n0)),
inference(paramod,[status(thm)],[c_104,c_11345]) ).
cnf(c_489,plain,
holdsAt(filling,n1),
inference(paramod,[status(thm)],[c_115,c_11346]) ).
cnf(c_11347,plain,
( holdsAt(filling,plus(n1,n1))
| happens(sK4(filling,n1),n1)
| releasedAt(filling,plus(n1,n1)) ),
inference(resolve,[status(thm)],[c_489,c_171]) ).
cnf(c_11348,plain,
( holdsAt(filling,plus(n1,n1))
| happens(sK4(filling,n1),n1)
| releasedAt(filling,n2) ),
inference(paramod,[status(thm)],[c_111,c_11347]) ).
cnf(c_490,plain,
( holdsAt(filling,n2)
| happens(sK4(filling,n1),n1)
| releasedAt(filling,n2) ),
inference(paramod,[status(thm)],[c_111,c_11348]) ).
cnf(c_499,plain,
sK3(tapOn,waterLevel(A),B) = A,
inference(resolve,[status(thm)],[c_223,c_118]) ).
cnf(c_11349,plain,
( ~ releasedAt(filling,n1)
| ~ happens(tapOn,n0) ),
inference(paramod,[status(thm)],[c_115,c_484]) ).
cnf(c_505,plain,
~ releasedAt(filling,n1),
inference(resolve,[status(thm)],[c_416,c_11349]) ).
cnf(c_507,plain,
( ~ less(A,n1)
| n0 = A
| n1 = A ),
inference(resolve,[status(thm)],[c_327,c_81]) ).
cnf(c_579,plain,
( less_or_equal(A,n2)
| n3 = A
| n4 = A
| less(n4,A) ),
inference(resolve,[status(thm)],[c_300,c_95]) ).
cnf(c_584,plain,
( less_or_equal(A,n1)
| n2 = A
| n3 = A
| less(n3,A) ),
inference(resolve,[status(thm)],[c_305,c_97]) ).
cnf(c_11350,plain,
( n0 = A
| n1 = A
| n1 = A
| n2 = A
| less(n2,A) ),
inference(resolve,[status(thm)],[c_318,c_507]) ).
cnf(c_589,plain,
( n0 = A
| n1 = A
| n2 = A
| less(n2,A) ),
inference(copy,[status(thm)],[c_11350]) ).
cnf(c_726,plain,
( plus(C,A) != B
| ~ holdsAt(waterLevel(C),n0)
| terminates(sK0(n0,filling,plus(n0,A)),filling,sK1(n0,filling,plus(n0,A)))
| holdsAt(waterLevel(B),plus(n0,A))
| ~ less(n0,A) ),
inference(resolve,[status(thm)],[c_461,c_416]) ).
cnf(c_753,plain,
( plus(C,A) != B
| ~ holdsAt(waterLevel(C),n0)
| less(sK1(n0,filling,plus(n0,A)),plus(n0,A))
| holdsAt(waterLevel(B),plus(n0,A))
| ~ less(n0,A) ),
inference(resolve,[status(thm)],[c_462,c_416]) ).
cnf(c_756,plain,
( plus(C,A) != B
| ~ holdsAt(waterLevel(C),n0)
| less(n0,sK1(n0,filling,plus(n0,A)))
| holdsAt(waterLevel(B),plus(n0,A))
| ~ less(n0,A) ),
inference(resolve,[status(thm)],[c_463,c_416]) ).
cnf(c_758,plain,
( plus(C,A) != B
| ~ holdsAt(waterLevel(C),n0)
| happens(sK0(n0,filling,plus(n0,A)),sK1(n0,filling,plus(n0,A)))
| holdsAt(waterLevel(B),plus(n0,A))
| ~ less(n0,A) ),
inference(resolve,[status(thm)],[c_464,c_416]) ).
cnf(c_11351,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_490,c_200]) ).
cnf(c_11352,plain,
( releasedAt(filling,n1)
| holdsAt(filling,n2)
| happens(sK4(filling,n1),n1) ),
inference(resolve,[status(thm)],[c_122,c_11351]) ).
cnf(c_804,plain,
( holdsAt(filling,n2)
| happens(sK4(filling,n1),n1) ),
inference(resolve,[status(thm)],[c_505,c_11352]) ).
cnf(c_11353,plain,
( holdsAt(waterLevel(n3),n1)
| n0 = n1
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_804,c_131]) ).
cnf(c_807,plain,
( holdsAt(waterLevel(n3),n1)
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_234,c_11353]) ).
cnf(c_11354,plain,
( overflow != A
| ~ holdsAt(filling,n1)
| happens(A,n1)
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_807,c_127]) ).
cnf(c_814,plain,
( overflow != A
| happens(A,n1)
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_489,c_11354]) ).
cnf(c_815,plain,
( n3 = A
| ~ holdsAt(waterLevel(A),n1)
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_807,c_126]) ).
cnf(c_11355,plain,
A = sK3(tapOn,waterLevel(A),B),
inference(copy,[status(thm)],[c_499]) ).
cnf(c_11356,plain,
( happens(sK3(tapOn,waterLevel(overflow),A),n1)
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_814,c_11355]) ).
cnf(c_841,plain,
( happens(overflow,n1)
| holdsAt(filling,n2) ),
inference(paramod,[status(thm)],[c_499,c_11356]) ).
cnf(c_848,plain,
( less(A,sK1(A,filling,B))
| ~ less(n1,B)
| ~ less(A,n1)
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_841,c_431]) ).
cnf(c_849,plain,
( less(sK1(A,filling,B),B)
| ~ less(n1,B)
| ~ less(A,n1)
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_841,c_430]) ).
cnf(c_894,plain,
( n2 = A
| less(A,n2)
| n3 = A
| n4 = A
| less(n4,A) ),
inference(resolve,[status(thm)],[c_579,c_103]) ).
cnf(c_895,plain,
( n1 = A
| less(A,n1)
| n2 = A
| n3 = A
| less(n3,A) ),
inference(resolve,[status(thm)],[c_584,c_103]) ).
cnf(c_898,plain,
( ~ less(A,n2)
| n0 = A
| n1 = A
| n2 = A ),
inference(resolve,[status(thm)],[c_589,c_81]) ).
cnf(c_899,plain,
( plus(n0,A) != B
| terminates(sK0(n0,filling,plus(n0,A)),filling,sK1(n0,filling,plus(n0,A)))
| holdsAt(waterLevel(B),plus(n0,A))
| ~ less(n0,A) ),
inference(resolve,[status(thm)],[c_726,c_78]) ).
cnf(c_900,plain,
( plus(n0,A) != B
| less(sK1(n0,filling,plus(n0,A)),plus(n0,A))
| holdsAt(waterLevel(B),plus(n0,A))
| ~ less(n0,A) ),
inference(resolve,[status(thm)],[c_753,c_78]) ).
cnf(c_924,plain,
( plus(n0,A) != B
| less(n0,sK1(n0,filling,plus(n0,A)))
| holdsAt(waterLevel(B),plus(n0,A))
| ~ less(n0,A) ),
inference(resolve,[status(thm)],[c_756,c_78]) ).
cnf(c_925,plain,
( plus(n0,A) != B
| happens(sK0(n0,filling,plus(n0,A)),sK1(n0,filling,plus(n0,A)))
| holdsAt(waterLevel(B),plus(n0,A))
| ~ less(n0,A) ),
inference(resolve,[status(thm)],[c_758,c_78]) ).
cnf(c_1243,plain,
( less(n0,sK1(n0,filling,A))
| ~ less(n1,A)
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_848,c_224]) ).
cnf(c_1288,plain,
( less(sK1(n0,filling,A),A)
| ~ less(n1,A)
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_849,c_224]) ).
cnf(c_11357,plain,
( n2 = n1
| n3 = n1
| less(n3,n1)
| less(n0,sK1(n0,filling,n2))
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_1243,c_305]) ).
cnf(c_11358,plain,
( n2 = n1
| n3 = n1
| less(n0,sK1(n0,filling,n2))
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_273,c_11357]) ).
cnf(c_11359,plain,
( n2 = n1
| less(n0,sK1(n0,filling,n2))
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_274,c_11358]) ).
cnf(c_1385,plain,
( less(n0,sK1(n0,filling,n2))
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_237,c_11359]) ).
cnf(c_11360,plain,
( holdsAt(filling,plus(n2,n1))
| happens(sK4(filling,n2),n2)
| releasedAt(filling,plus(n2,n1))
| less(n0,sK1(n0,filling,n2)) ),
inference(resolve,[status(thm)],[c_1385,c_171]) ).
cnf(c_11361,plain,
( holdsAt(filling,plus(n2,n1))
| happens(sK4(filling,n2),n2)
| releasedAt(filling,plus(n1,n2))
| less(n0,sK1(n0,filling,n2)) ),
inference(paramod,[status(thm)],[c_104,c_11360]) ).
cnf(c_11362,plain,
( holdsAt(filling,plus(n2,n1))
| happens(sK4(filling,n2),n2)
| releasedAt(filling,n3)
| less(n0,sK1(n0,filling,n2)) ),
inference(paramod,[status(thm)],[c_110,c_11361]) ).
cnf(c_11363,plain,
( holdsAt(filling,plus(n1,n2))
| happens(sK4(filling,n2),n2)
| releasedAt(filling,n3)
| less(n0,sK1(n0,filling,n2)) ),
inference(paramod,[status(thm)],[c_104,c_11362]) ).
cnf(c_11364,plain,
( holdsAt(filling,n3)
| happens(sK4(filling,n2),n2)
| releasedAt(filling,n3)
| less(n0,sK1(n0,filling,n2)) ),
inference(paramod,[status(thm)],[c_110,c_11363]) ).
cnf(c_1409,negated_conjecture,
( happens(sK4(filling,n2),n2)
| releasedAt(filling,n3)
| less(n0,sK1(n0,filling,n2)) ),
inference(resolve,[status(thm)],[c_72,c_11364]) ).
cnf(c_11365,plain,
( n2 = n1
| n3 = n1
| less(n3,n1)
| less(sK1(n0,filling,n2),n2)
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_1288,c_305]) ).
cnf(c_11366,plain,
( n2 = n1
| n3 = n1
| less(sK1(n0,filling,n2),n2)
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_273,c_11365]) ).
cnf(c_11367,plain,
( n2 = n1
| less(sK1(n0,filling,n2),n2)
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_274,c_11366]) ).
cnf(c_1476,plain,
( less(sK1(n0,filling,n2),n2)
| holdsAt(filling,n2) ),
inference(resolve,[status(thm)],[c_237,c_11367]) ).
cnf(c_11368,plain,
( holdsAt(filling,plus(n2,n1))
| happens(sK4(filling,n2),n2)
| releasedAt(filling,plus(n2,n1))
| less(sK1(n0,filling,n2),n2) ),
inference(resolve,[status(thm)],[c_1476,c_171]) ).
cnf(c_11369,plain,
( holdsAt(filling,plus(n2,n1))
| happens(sK4(filling,n2),n2)
| releasedAt(filling,plus(n1,n2))
| less(sK1(n0,filling,n2),n2) ),
inference(paramod,[status(thm)],[c_104,c_11368]) ).
cnf(c_11370,plain,
( holdsAt(filling,plus(n2,n1))
| happens(sK4(filling,n2),n2)
| releasedAt(filling,n3)
| less(sK1(n0,filling,n2),n2) ),
inference(paramod,[status(thm)],[c_110,c_11369]) ).
cnf(c_11371,plain,
( holdsAt(filling,plus(n1,n2))
| happens(sK4(filling,n2),n2)
| releasedAt(filling,n3)
| less(sK1(n0,filling,n2),n2) ),
inference(paramod,[status(thm)],[c_104,c_11370]) ).
cnf(c_11372,plain,
( holdsAt(filling,n3)
| happens(sK4(filling,n2),n2)
| releasedAt(filling,n3)
| less(sK1(n0,filling,n2),n2) ),
inference(paramod,[status(thm)],[c_110,c_11371]) ).
cnf(c_1503,negated_conjecture,
( happens(sK4(filling,n2),n2)
| releasedAt(filling,n3)
| less(sK1(n0,filling,n2),n2) ),
inference(resolve,[status(thm)],[c_72,c_11372]) ).
cnf(c_1576,plain,
( n0 = B
| plus(n0,B) != A
| terminates(sK0(n0,filling,plus(n0,B)),filling,sK1(n0,filling,plus(n0,B)))
| holdsAt(waterLevel(A),plus(n0,B)) ),
inference(resolve,[status(thm)],[c_899,c_193]) ).
cnf(c_11373,plain,
( n1 = n0
| n2 = n0
| n3 = n0
| less(n3,n0)
| plus(n0,n1) != A
| less(sK1(n0,filling,plus(n0,n1)),plus(n0,n1))
| holdsAt(waterLevel(A),plus(n0,n1)) ),
inference(resolve,[status(thm)],[c_900,c_895]) ).
cnf(c_11374,plain,
( n1 = n0
| n2 = n0
| n3 = n0
| less(n3,n0)
| plus(n0,n1) != A
| less(sK1(n0,filling,plus(n0,n1)),plus(n0,n1))
| holdsAt(waterLevel(A),plus(n1,n0)) ),
inference(paramod,[status(thm)],[c_104,c_11373]) ).
cnf(c_11375,plain,
( n1 = n0
| n2 = n0
| n3 = n0
| less(n3,n0)
| plus(n0,n1) != A
| less(sK1(n0,filling,plus(n0,n1)),plus(n0,n1))
| holdsAt(waterLevel(A),n1) ),
inference(paramod,[status(thm)],[c_115,c_11374]) ).
cnf(c_11376,plain,
( n1 = n0
| n2 = n0
| n3 = n0
| less(n3,n0)
| plus(n0,n1) != A
| less(sK1(n0,filling,plus(n1,n0)),plus(n0,n1))
| holdsAt(waterLevel(A),n1) ),
inference(paramod,[status(thm)],[c_104,c_11375]) ).
cnf(c_11377,plain,
( n1 = n0
| n2 = n0
| n3 = n0
| less(n3,n0)
| plus(n0,n1) != A
| less(sK1(n0,filling,n1),plus(n0,n1))
| holdsAt(waterLevel(A),n1) ),
inference(paramod,[status(thm)],[c_115,c_11376]) ).
cnf(c_11378,plain,
( n1 = n0
| n2 = n0
| n3 = n0
| less(n3,n0)
| plus(n0,n1) != A
| less(sK1(n0,filling,n1),plus(n1,n0))
| holdsAt(waterLevel(A),n1) ),
inference(paramod,[status(thm)],[c_104,c_11377]) ).
cnf(c_11379,plain,
( n1 = n0
| n2 = n0
| n3 = n0
| less(n3,n0)
| plus(n0,n1) != A
| less(sK1(n0,filling,n1),n1)
| holdsAt(waterLevel(A),n1) ),
inference(paramod,[status(thm)],[c_115,c_11378]) ).
cnf(c_11380,plain,
( n1 = n0
| n2 = n0
| n3 = n0
| less(n3,n0)
| plus(n1,n0) != A
| less(sK1(n0,filling,n1),n1)
| holdsAt(waterLevel(A),n1) ),
inference(paramod,[status(thm)],[c_104,c_11379]) ).
cnf(c_11381,plain,
( n1 = n0
| n2 = n0
| n3 = n0
| less(n3,n0)
| n1 != A
| less(sK1(n0,filling,n1),n1)
| holdsAt(waterLevel(A),n1) ),
inference(paramod,[status(thm)],[c_115,c_11380]) ).
cnf(c_11382,plain,
( n0 = n1
| n2 = n0
| n3 = n0
| less(n3,n0)
| n1 != A
| less(sK1(n0,filling,n1),n1)
| holdsAt(waterLevel(A),n1) ),
inference(copy,[status(thm)],[c_11381]) ).
cnf(c_11383,plain,
( n0 = n1
| n2 = n0
| n3 = n0
| n1 != A
| less(sK1(n0,filling,n1),n1)
| holdsAt(waterLevel(A),n1) ),
inference(resolve,[status(thm)],[c_100,c_11382]) ).
cnf(c_11384,plain,
( n0 = n1
| n2 = n0
| n1 != A
| less(sK1(n0,filling,n1),n1)
| holdsAt(waterLevel(A),n1) ),
inference(resolve,[status(thm)],[c_304,c_11383]) ).
cnf(c_11385,plain,
( n0 = n1
| n1 != A
| less(sK1(n0,filling,n1),n1)
| holdsAt(waterLevel(A),n1) ),
inference(resolve,[status(thm)],[c_270,c_11384]) ).
cnf(c_1616,plain,
( n1 != A
| less(sK1(n0,filling,n1),n1)
| holdsAt(waterLevel(A),n1) ),
inference(resolve,[status(thm)],[c_234,c_11385]) ).
cnf(c_11386,plain,
( n2 = n0
| n3 = n0
| n4 = n0
| less(n4,n0)
| plus(n0,n2) != A
| less(sK1(n0,filling,plus(n0,n2)),plus(n0,n2))
| holdsAt(waterLevel(A),plus(n0,n2)) ),
inference(resolve,[status(thm)],[c_900,c_894]) ).
cnf(c_11387,plain,
( n2 = n0
| n3 = n0
| n4 = n0
| less(n4,n0)
| plus(n0,n2) != A
| less(sK1(n0,filling,plus(n0,n2)),plus(n0,n2))
| holdsAt(waterLevel(A),n2) ),
inference(paramod,[status(thm)],[c_113,c_11386]) ).
cnf(c_11388,plain,
( n2 = n0
| n3 = n0
| n4 = n0
| less(n4,n0)
| plus(n0,n2) != A
| less(sK1(n0,filling,n2),plus(n0,n2))
| holdsAt(waterLevel(A),n2) ),
inference(paramod,[status(thm)],[c_113,c_11387]) ).
cnf(c_11389,plain,
( n2 = n0
| n3 = n0
| n4 = n0
| less(n4,n0)
| plus(n0,n2) != A
| less(sK1(n0,filling,n2),n2)
| holdsAt(waterLevel(A),n2) ),
inference(paramod,[status(thm)],[c_113,c_11388]) ).
cnf(c_11390,plain,
( n2 = n0
| n3 = n0
| n4 = n0
| less(n4,n0)
| n2 != A
| less(sK1(n0,filling,n2),n2)
| holdsAt(waterLevel(A),n2) ),
inference(paramod,[status(thm)],[c_113,c_11389]) ).
cnf(c_11391,plain,
( n2 = n0
| n3 = n0
| n4 = n0
| n2 != A
| less(sK1(n0,filling,n2),n2)
| holdsAt(waterLevel(A),n2) ),
inference(resolve,[status(thm)],[c_100,c_11390]) ).
cnf(c_11392,plain,
( n2 = n0
| n3 = n0
| n2 != A
| less(sK1(n0,filling,n2),n2)
| holdsAt(waterLevel(A),n2) ),
inference(resolve,[status(thm)],[c_339,c_11391]) ).
cnf(c_11393,plain,
( n2 = n0
| n2 != A
| less(sK1(n0,filling,n2),n2)
| holdsAt(waterLevel(A),n2) ),
inference(resolve,[status(thm)],[c_304,c_11392]) ).
cnf(c_1617,plain,
( n2 != A
| less(sK1(n0,filling,n2),n2)
| holdsAt(waterLevel(A),n2) ),
inference(resolve,[status(thm)],[c_270,c_11393]) ).
cnf(c_11394,plain,
A = sK3(tapOn,waterLevel(A),B),
inference(copy,[status(thm)],[c_499]) ).
cnf(c_11395,plain,
( less(sK1(n0,filling,n1),n1)
| holdsAt(waterLevel(sK3(tapOn,waterLevel(n1),A)),n1) ),
inference(resolve,[status(thm)],[c_1616,c_11394]) ).
cnf(c_1626,plain,
( less(sK1(n0,filling,n1),n1)
| holdsAt(waterLevel(n1),n1) ),
inference(paramod,[status(thm)],[c_499,c_11395]) ).
cnf(c_11396,plain,
( n3 = n1
| holdsAt(filling,n2)
| less(sK1(n0,filling,n1),n1) ),
inference(resolve,[status(thm)],[c_1626,c_815]) ).
cnf(c_1627,plain,
( holdsAt(filling,n2)
| less(sK1(n0,filling,n1),n1) ),
inference(resolve,[status(thm)],[c_274,c_11396]) ).
cnf(c_11397,plain,
( holdsAt(filling,plus(n2,n1))
| happens(sK4(filling,n2),n2)
| releasedAt(filling,plus(n2,n1))
| less(sK1(n0,filling,n1),n1) ),
inference(resolve,[status(thm)],[c_1627,c_171]) ).
cnf(c_11398,plain,
( holdsAt(filling,plus(n2,n1))
| happens(sK4(filling,n2),n2)
| releasedAt(filling,plus(n1,n2))
| less(sK1(n0,filling,n1),n1) ),
inference(paramod,[status(thm)],[c_104,c_11397]) ).
cnf(c_11399,plain,
( holdsAt(filling,plus(n2,n1))
| happens(sK4(filling,n2),n2)
| releasedAt(filling,n3)
| less(sK1(n0,filling,n1),n1) ),
inference(paramod,[status(thm)],[c_110,c_11398]) ).
cnf(c_11400,plain,
( holdsAt(filling,plus(n1,n2))
| happens(sK4(filling,n2),n2)
| releasedAt(filling,n3)
| less(sK1(n0,filling,n1),n1) ),
inference(paramod,[status(thm)],[c_104,c_11399]) ).
cnf(c_11401,plain,
( holdsAt(filling,n3)
| happens(sK4(filling,n2),n2)
| releasedAt(filling,n3)
| less(sK1(n0,filling,n1),n1) ),
inference(paramod,[status(thm)],[c_110,c_11400]) ).
cnf(c_1633,negated_conjecture,
( happens(sK4(filling,n2),n2)
| releasedAt(filling,n3)
| less(sK1(n0,filling,n1),n1) ),
inference(resolve,[status(thm)],[c_72,c_11401]) ).
cnf(c_11402,plain,
A = sK3(tapOn,waterLevel(A),B),
inference(copy,[status(thm)],[c_499]) ).
cnf(c_11403,plain,
( less(sK1(n0,filling,n2),n2)
| holdsAt(waterLevel(sK3(tapOn,waterLevel(n2),A)),n2) ),
inference(resolve,[status(thm)],[c_1617,c_11402]) ).
cnf(c_1637,plain,
( less(sK1(n0,filling,n2),n2)
| holdsAt(waterLevel(n2),n2) ),
inference(paramod,[status(thm)],[c_499,c_11403]) ).
cnf(c_1645,plain,
( n2 = A
| ~ holdsAt(waterLevel(A),n2)
| less(sK1(n0,filling,n2),n2) ),
inference(resolve,[status(thm)],[c_1637,c_126]) ).
cnf(c_11404,plain,
( n1 = n0
| n2 = n0
| n3 = n0
| less(n3,n0)
| plus(n0,n1) != A
| less(n0,sK1(n0,filling,plus(n0,n1)))
| holdsAt(waterLevel(A),plus(n0,n1)) ),
inference(resolve,[status(thm)],[c_924,c_895]) ).
cnf(c_11405,plain,
( n1 = n0
| n2 = n0
| n3 = n0
| less(n3,n0)
| plus(n0,n1) != A
| less(n0,sK1(n0,filling,plus(n0,n1)))
| holdsAt(waterLevel(A),plus(n1,n0)) ),
inference(paramod,[status(thm)],[c_104,c_11404]) ).
cnf(c_11406,plain,
( n1 = n0
| n2 = n0
| n3 = n0
| less(n3,n0)
| plus(n0,n1) != A
| less(n0,sK1(n0,filling,plus(n0,n1)))
| holdsAt(waterLevel(A),n1) ),
inference(paramod,[status(thm)],[c_115,c_11405]) ).
cnf(c_11407,plain,
( n1 = n0
| n2 = n0
| n3 = n0
| less(n3,n0)
| plus(n0,n1) != A
| less(n0,sK1(n0,filling,plus(n1,n0)))
| holdsAt(waterLevel(A),n1) ),
inference(paramod,[status(thm)],[c_104,c_11406]) ).
cnf(c_11408,plain,
( n1 = n0
| n2 = n0
| n3 = n0
| less(n3,n0)
| plus(n0,n1) != A
| less(n0,sK1(n0,filling,n1))
| holdsAt(waterLevel(A),n1) ),
inference(paramod,[status(thm)],[c_115,c_11407]) ).
cnf(c_11409,plain,
( n1 = n0
| n2 = n0
| n3 = n0
| less(n3,n0)
| plus(n1,n0) != A
| less(n0,sK1(n0,filling,n1))
| holdsAt(waterLevel(A),n1) ),
inference(paramod,[status(thm)],[c_104,c_11408]) ).
cnf(c_11410,plain,
( n1 = n0
| n2 = n0
| n3 = n0
| less(n3,n0)
| n1 != A
| less(n0,sK1(n0,filling,n1))
| holdsAt(waterLevel(A),n1) ),
inference(paramod,[status(thm)],[c_115,c_11409]) ).
cnf(c_11411,plain,
( n0 = n1
| n2 = n0
| n3 = n0
| less(n3,n0)
| n1 != A
| less(n0,sK1(n0,filling,n1))
| holdsAt(waterLevel(A),n1) ),
inference(copy,[status(thm)],[c_11410]) ).
cnf(c_11412,plain,
( n0 = n1
| n2 = n0
| n3 = n0
| n1 != A
| less(n0,sK1(n0,filling,n1))
| holdsAt(waterLevel(A),n1) ),
inference(resolve,[status(thm)],[c_100,c_11411]) ).
cnf(c_11413,plain,
( n0 = n1
| n2 = n0
| n1 != A
| less(n0,sK1(n0,filling,n1))
| holdsAt(waterLevel(A),n1) ),
inference(resolve,[status(thm)],[c_304,c_11412]) ).
cnf(c_11414,plain,
( n0 = n1
| n1 != A
| less(n0,sK1(n0,filling,n1))
| holdsAt(waterLevel(A),n1) ),
inference(resolve,[status(thm)],[c_270,c_11413]) ).
cnf(c_2036,plain,
( n1 != A
| less(n0,sK1(n0,filling,n1))
| holdsAt(waterLevel(A),n1) ),
inference(resolve,[status(thm)],[c_234,c_11414]) ).
cnf(c_11415,plain,
( n2 = n0
| n3 = n0
| n4 = n0
| less(n4,n0)
| plus(n0,n2) != A
| less(n0,sK1(n0,filling,plus(n0,n2)))
| holdsAt(waterLevel(A),plus(n0,n2)) ),
inference(resolve,[status(thm)],[c_924,c_894]) ).
cnf(c_11416,plain,
( n2 = n0
| n3 = n0
| n4 = n0
| less(n4,n0)
| plus(n0,n2) != A
| less(n0,sK1(n0,filling,plus(n0,n2)))
| holdsAt(waterLevel(A),n2) ),
inference(paramod,[status(thm)],[c_113,c_11415]) ).
cnf(c_11417,plain,
( n2 = n0
| n3 = n0
| n4 = n0
| less(n4,n0)
| plus(n0,n2) != A
| less(n0,sK1(n0,filling,n2))
| holdsAt(waterLevel(A),n2) ),
inference(paramod,[status(thm)],[c_113,c_11416]) ).
cnf(c_11418,plain,
( n2 = n0
| n3 = n0
| n4 = n0
| less(n4,n0)
| n2 != A
| less(n0,sK1(n0,filling,n2))
| holdsAt(waterLevel(A),n2) ),
inference(paramod,[status(thm)],[c_113,c_11417]) ).
cnf(c_11419,plain,
( n2 = n0
| n3 = n0
| n4 = n0
| n2 != A
| less(n0,sK1(n0,filling,n2))
| holdsAt(waterLevel(A),n2) ),
inference(resolve,[status(thm)],[c_100,c_11418]) ).
cnf(c_11420,plain,
( n2 = n0
| n3 = n0
| n2 != A
| less(n0,sK1(n0,filling,n2))
| holdsAt(waterLevel(A),n2) ),
inference(resolve,[status(thm)],[c_339,c_11419]) ).
cnf(c_11421,plain,
( n2 = n0
| n2 != A
| less(n0,sK1(n0,filling,n2))
| holdsAt(waterLevel(A),n2) ),
inference(resolve,[status(thm)],[c_304,c_11420]) ).
cnf(c_2037,plain,
( n2 != A
| less(n0,sK1(n0,filling,n2))
| holdsAt(waterLevel(A),n2) ),
inference(resolve,[status(thm)],[c_270,c_11421]) ).
cnf(c_11422,plain,
A = sK3(tapOn,waterLevel(A),B),
inference(copy,[status(thm)],[c_499]) ).
cnf(c_11423,plain,
( less(n0,sK1(n0,filling,n1))
| holdsAt(waterLevel(sK3(tapOn,waterLevel(n1),A)),n1) ),
inference(resolve,[status(thm)],[c_2036,c_11422]) ).
cnf(c_2046,plain,
( less(n0,sK1(n0,filling,n1))
| holdsAt(waterLevel(n1),n1) ),
inference(paramod,[status(thm)],[c_499,c_11423]) ).
cnf(c_11424,plain,
( n3 = n1
| holdsAt(filling,n2)
| less(n0,sK1(n0,filling,n1)) ),
inference(resolve,[status(thm)],[c_2046,c_815]) ).
cnf(c_2049,plain,
( holdsAt(filling,n2)
| less(n0,sK1(n0,filling,n1)) ),
inference(resolve,[status(thm)],[c_274,c_11424]) ).
cnf(c_11425,plain,
( holdsAt(filling,plus(n2,n1))
| happens(sK4(filling,n2),n2)
| releasedAt(filling,plus(n2,n1))
| less(n0,sK1(n0,filling,n1)) ),
inference(resolve,[status(thm)],[c_2049,c_171]) ).
cnf(c_11426,plain,
( holdsAt(filling,plus(n2,n1))
| happens(sK4(filling,n2),n2)
| releasedAt(filling,plus(n1,n2))
| less(n0,sK1(n0,filling,n1)) ),
inference(paramod,[status(thm)],[c_104,c_11425]) ).
cnf(c_11427,plain,
( holdsAt(filling,plus(n2,n1))
| happens(sK4(filling,n2),n2)
| releasedAt(filling,n3)
| less(n0,sK1(n0,filling,n1)) ),
inference(paramod,[status(thm)],[c_110,c_11426]) ).
cnf(c_11428,plain,
( holdsAt(filling,plus(n1,n2))
| happens(sK4(filling,n2),n2)
| releasedAt(filling,n3)
| less(n0,sK1(n0,filling,n1)) ),
inference(paramod,[status(thm)],[c_104,c_11427]) ).
cnf(c_11429,plain,
( holdsAt(filling,n3)
| happens(sK4(filling,n2),n2)
| releasedAt(filling,n3)
| less(n0,sK1(n0,filling,n1)) ),
inference(paramod,[status(thm)],[c_110,c_11428]) ).
cnf(c_2055,negated_conjecture,
( happens(sK4(filling,n2),n2)
| releasedAt(filling,n3)
| less(n0,sK1(n0,filling,n1)) ),
inference(resolve,[status(thm)],[c_72,c_11429]) ).
cnf(c_11430,plain,
A = sK3(tapOn,waterLevel(A),B),
inference(copy,[status(thm)],[c_499]) ).
cnf(c_11431,plain,
( less(n0,sK1(n0,filling,n2))
| holdsAt(waterLevel(sK3(tapOn,waterLevel(n2),A)),n2) ),
inference(resolve,[status(thm)],[c_2037,c_11430]) ).
cnf(c_2057,plain,
( less(n0,sK1(n0,filling,n2))
| holdsAt(waterLevel(n2),n2) ),
inference(paramod,[status(thm)],[c_499,c_11431]) ).
cnf(c_11432,plain,
( n2 = n0
| n3 = n0
| n4 = n0
| less(n4,n0)
| plus(n0,n2) != A
| happens(sK0(n0,filling,plus(n0,n2)),sK1(n0,filling,plus(n0,n2)))
| holdsAt(waterLevel(A),plus(n0,n2)) ),
inference(resolve,[status(thm)],[c_925,c_894]) ).
cnf(c_11433,plain,
( n2 = n0
| n3 = n0
| n4 = n0
| less(n4,n0)
| plus(n0,n2) != A
| happens(sK0(n0,filling,plus(n0,n2)),sK1(n0,filling,plus(n0,n2)))
| holdsAt(waterLevel(A),n2) ),
inference(paramod,[status(thm)],[c_113,c_11432]) ).
cnf(c_11434,plain,
( n2 = n0
| n3 = n0
| n4 = n0
| less(n4,n0)
| plus(n0,n2) != A
| happens(sK0(n0,filling,n2),sK1(n0,filling,plus(n0,n2)))
| holdsAt(waterLevel(A),n2) ),
inference(paramod,[status(thm)],[c_113,c_11433]) ).
cnf(c_11435,plain,
( n2 = n0
| n3 = n0
| n4 = n0
| less(n4,n0)
| plus(n0,n2) != A
| happens(sK0(n0,filling,n2),sK1(n0,filling,n2))
| holdsAt(waterLevel(A),n2) ),
inference(paramod,[status(thm)],[c_113,c_11434]) ).
cnf(c_11436,plain,
( n2 = n0
| n3 = n0
| n4 = n0
| less(n4,n0)
| n2 != A
| happens(sK0(n0,filling,n2),sK1(n0,filling,n2))
| holdsAt(waterLevel(A),n2) ),
inference(paramod,[status(thm)],[c_113,c_11435]) ).
cnf(c_11437,plain,
( n2 = n0
| n3 = n0
| n4 = n0
| n2 != A
| happens(sK0(n0,filling,n2),sK1(n0,filling,n2))
| holdsAt(waterLevel(A),n2) ),
inference(resolve,[status(thm)],[c_100,c_11436]) ).
cnf(c_11438,plain,
( n2 = n0
| n3 = n0
| n2 != A
| happens(sK0(n0,filling,n2),sK1(n0,filling,n2))
| holdsAt(waterLevel(A),n2) ),
inference(resolve,[status(thm)],[c_339,c_11437]) ).
cnf(c_11439,plain,
( n2 = n0
| n2 != A
| happens(sK0(n0,filling,n2),sK1(n0,filling,n2))
| holdsAt(waterLevel(A),n2) ),
inference(resolve,[status(thm)],[c_304,c_11438]) ).
cnf(c_2059,plain,
( n2 != A
| happens(sK0(n0,filling,n2),sK1(n0,filling,n2))
| holdsAt(waterLevel(A),n2) ),
inference(resolve,[status(thm)],[c_270,c_11439]) ).
cnf(c_2075,plain,
( n2 = A
| ~ holdsAt(waterLevel(A),n2)
| less(n0,sK1(n0,filling,n2)) ),
inference(resolve,[status(thm)],[c_2057,c_126]) ).
cnf(c_11440,plain,
( releasedAt(filling,n2)
| waterLevel(sK3(sK2(filling,n2),filling,n2)) = filling
| happens(sK4(filling,n2),n2)
| less(n0,sK1(n0,filling,n2)) ),
inference(resolve,[status(thm)],[c_1409,c_377]) ).
cnf(c_2171,plain,
( releasedAt(filling,n2)
| happens(sK4(filling,n2),n2)
| less(n0,sK1(n0,filling,n2)) ),
inference(resolve,[status(thm)],[c_122,c_11440]) ).
cnf(c_11441,plain,
( releasedAt(filling,n2)
| waterLevel(sK3(sK2(filling,n2),filling,n2)) = filling
| happens(sK4(filling,n2),n2)
| less(sK1(n0,filling,n2),n2) ),
inference(resolve,[status(thm)],[c_1503,c_377]) ).
cnf(c_2266,plain,
( releasedAt(filling,n2)
| happens(sK4(filling,n2),n2)
| less(sK1(n0,filling,n2),n2) ),
inference(resolve,[status(thm)],[c_122,c_11441]) ).
cnf(c_11442,plain,
( releasedAt(filling,n2)
| waterLevel(sK3(sK2(filling,n2),filling,n2)) = filling
| happens(sK4(filling,n2),n2)
| less(sK1(n0,filling,n1),n1) ),
inference(resolve,[status(thm)],[c_1633,c_377]) ).
cnf(c_2274,plain,
( releasedAt(filling,n2)
| happens(sK4(filling,n2),n2)
| less(sK1(n0,filling,n1),n1) ),
inference(resolve,[status(thm)],[c_122,c_11442]) ).
cnf(c_11443,plain,
( releasedAt(filling,n2)
| waterLevel(sK3(sK2(filling,n2),filling,n2)) = filling
| happens(sK4(filling,n2),n2)
| less(n0,sK1(n0,filling,n1)) ),
inference(resolve,[status(thm)],[c_2055,c_377]) ).
cnf(c_5811,plain,
( releasedAt(filling,n2)
| happens(sK4(filling,n2),n2)
| less(n0,sK1(n0,filling,n1)) ),
inference(resolve,[status(thm)],[c_122,c_11443]) ).
cnf(c_11444,plain,
( releasedAt(filling,n1)
| waterLevel(sK3(sK2(filling,n1),filling,n1)) = filling
| happens(sK4(filling,n2),n2)
| less(n0,sK1(n0,filling,n2)) ),
inference(resolve,[status(thm)],[c_2171,c_200]) ).
cnf(c_11445,plain,
( releasedAt(filling,n1)
| happens(sK4(filling,n2),n2)
| less(n0,sK1(n0,filling,n2)) ),
inference(resolve,[status(thm)],[c_122,c_11444]) ).
cnf(c_6650,plain,
( happens(sK4(filling,n2),n2)
| less(n0,sK1(n0,filling,n2)) ),
inference(resolve,[status(thm)],[c_505,c_11445]) ).
cnf(c_11446,plain,
( holdsAt(waterLevel(n3),n2)
| n0 = n2
| less(n0,sK1(n0,filling,n2)) ),
inference(resolve,[status(thm)],[c_6650,c_131]) ).
cnf(c_11447,plain,
( holdsAt(waterLevel(n3),n2)
| n2 = n0
| less(n0,sK1(n0,filling,n2)) ),
inference(copy,[status(thm)],[c_11446]) ).
cnf(c_6653,plain,
( holdsAt(waterLevel(n3),n2)
| less(n0,sK1(n0,filling,n2)) ),
inference(resolve,[status(thm)],[c_270,c_11447]) ).
cnf(c_11448,plain,
( n2 = n3
| less(n0,sK1(n0,filling,n2))
| less(n0,sK1(n0,filling,n2)) ),
inference(resolve,[status(thm)],[c_6653,c_2075]) ).
cnf(c_11449,plain,
( n2 = n3
| less(n0,sK1(n0,filling,n2)) ),
inference(copy,[status(thm)],[c_11448]) ).
cnf(c_6665,plain,
less(n0,sK1(n0,filling,n2)),
inference(resolve,[status(thm)],[c_240,c_11449]) ).
cnf(c_6671,plain,
sK1(n0,filling,n2) != n0,
inference(resolve,[status(thm)],[c_6665,c_80]) ).
cnf(c_11450,plain,
( releasedAt(filling,n1)
| waterLevel(sK3(sK2(filling,n1),filling,n1)) = filling
| happens(sK4(filling,n2),n2)
| less(sK1(n0,filling,n2),n2) ),
inference(resolve,[status(thm)],[c_2266,c_200]) ).
cnf(c_11451,plain,
( releasedAt(filling,n1)
| happens(sK4(filling,n2),n2)
| less(sK1(n0,filling,n2),n2) ),
inference(resolve,[status(thm)],[c_122,c_11450]) ).
cnf(c_7578,plain,
( happens(sK4(filling,n2),n2)
| less(sK1(n0,filling,n2),n2) ),
inference(resolve,[status(thm)],[c_505,c_11451]) ).
cnf(c_11452,plain,
( holdsAt(waterLevel(n3),n2)
| n0 = n2
| less(sK1(n0,filling,n2),n2) ),
inference(resolve,[status(thm)],[c_7578,c_131]) ).
cnf(c_11453,plain,
( holdsAt(waterLevel(n3),n2)
| n2 = n0
| less(sK1(n0,filling,n2),n2) ),
inference(copy,[status(thm)],[c_11452]) ).
cnf(c_7581,plain,
( holdsAt(waterLevel(n3),n2)
| less(sK1(n0,filling,n2),n2) ),
inference(resolve,[status(thm)],[c_270,c_11453]) ).
cnf(c_11454,plain,
( n2 = n3
| less(sK1(n0,filling,n2),n2)
| less(sK1(n0,filling,n2),n2) ),
inference(resolve,[status(thm)],[c_7581,c_1645]) ).
cnf(c_11455,plain,
( n2 = n3
| less(sK1(n0,filling,n2),n2) ),
inference(copy,[status(thm)],[c_11454]) ).
cnf(c_7584,plain,
less(sK1(n0,filling,n2),n2),
inference(resolve,[status(thm)],[c_240,c_11455]) ).
cnf(c_11456,plain,
( n0 = sK1(n0,filling,n2)
| n1 = sK1(n0,filling,n2)
| n2 = sK1(n0,filling,n2) ),
inference(resolve,[status(thm)],[c_7584,c_898]) ).
cnf(c_11457,plain,
( n0 = sK1(n0,filling,n2)
| n1 = sK1(n0,filling,n2)
| sK1(n0,filling,n2) = n2 ),
inference(copy,[status(thm)],[c_11456]) ).
cnf(c_11458,plain,
( n0 = sK1(n0,filling,n2)
| sK1(n0,filling,n2) = n1
| sK1(n0,filling,n2) = n2 ),
inference(copy,[status(thm)],[c_11457]) ).
cnf(c_11459,plain,
( sK1(n0,filling,n2) = n0
| sK1(n0,filling,n2) = n1
| sK1(n0,filling,n2) = n2 ),
inference(copy,[status(thm)],[c_11458]) ).
cnf(c_7585,plain,
( sK1(n0,filling,n2) = n1
| sK1(n0,filling,n2) = n2 ),
inference(resolve,[status(thm)],[c_6671,c_11459]) ).
cnf(c_11460,plain,
n2 != sK1(n0,filling,n2),
inference(resolve,[status(thm)],[c_7584,c_80]) ).
cnf(c_7596,plain,
sK1(n0,filling,n2) != n2,
inference(copy,[status(thm)],[c_11460]) ).
cnf(c_7604,plain,
sK1(n0,filling,n2) = n1,
inference(resolve,[status(thm)],[c_7596,c_7585]) ).
cnf(c_7609,plain,
( n2 != A
| happens(sK0(n0,filling,n2),n1)
| holdsAt(waterLevel(A),n2) ),
inference(paramod,[status(thm)],[c_7604,c_2059]) ).
cnf(c_11461,plain,
A = sK3(tapOn,waterLevel(A),B),
inference(copy,[status(thm)],[c_499]) ).
cnf(c_11462,plain,
( happens(sK0(n0,filling,n2),n1)
| holdsAt(waterLevel(sK3(tapOn,waterLevel(n2),A)),n2) ),
inference(resolve,[status(thm)],[c_7609,c_11461]) ).
cnf(c_7615,plain,
( happens(sK0(n0,filling,n2),n1)
| holdsAt(waterLevel(n2),n2) ),
inference(paramod,[status(thm)],[c_499,c_11462]) ).
cnf(c_11463,plain,
( n0 = n2
| terminates(sK0(n0,filling,plus(n0,n2)),filling,sK1(n0,filling,plus(n0,n2)))
| holdsAt(waterLevel(n2),plus(n0,n2)) ),
inference(resolve,[status(thm)],[c_1576,c_113]) ).
cnf(c_11464,plain,
( n0 = n2
| terminates(sK0(n0,filling,plus(n0,n2)),filling,sK1(n0,filling,plus(n0,n2)))
| holdsAt(waterLevel(n2),n2) ),
inference(paramod,[status(thm)],[c_113,c_11463]) ).
cnf(c_11465,plain,
( n0 = n2
| terminates(sK0(n0,filling,n2),filling,sK1(n0,filling,plus(n0,n2)))
| holdsAt(waterLevel(n2),n2) ),
inference(paramod,[status(thm)],[c_113,c_11464]) ).
cnf(c_11466,plain,
( n0 = n2
| terminates(sK0(n0,filling,n2),filling,sK1(n0,filling,n2))
| holdsAt(waterLevel(n2),n2) ),
inference(paramod,[status(thm)],[c_113,c_11465]) ).
cnf(c_11467,plain,
( n0 = n2
| terminates(sK0(n0,filling,n2),filling,n1)
| holdsAt(waterLevel(n2),n2) ),
inference(paramod,[status(thm)],[c_7604,c_11466]) ).
cnf(c_11468,plain,
( n2 = n0
| terminates(sK0(n0,filling,n2),filling,n1)
| holdsAt(waterLevel(n2),n2) ),
inference(copy,[status(thm)],[c_11467]) ).
cnf(c_8697,plain,
( terminates(sK0(n0,filling,n2),filling,n1)
| holdsAt(waterLevel(n2),n2) ),
inference(resolve,[status(thm)],[c_270,c_11468]) ).
cnf(c_11469,plain,
( ~ holdsAt(filling,plus(n1,n1))
| ~ happens(sK0(n0,filling,n2),n1)
| holdsAt(waterLevel(n2),n2) ),
inference(resolve,[status(thm)],[c_8697,c_163]) ).
cnf(c_8702,plain,
( ~ holdsAt(filling,n2)
| ~ happens(sK0(n0,filling,n2),n1)
| holdsAt(waterLevel(n2),n2) ),
inference(paramod,[status(thm)],[c_111,c_11469]) ).
cnf(c_11470,plain,
( holdsAt(waterLevel(n2),n2)
| ~ holdsAt(filling,n2)
| holdsAt(waterLevel(n2),n2) ),
inference(resolve,[status(thm)],[c_8702,c_7615]) ).
cnf(c_10615,plain,
( ~ holdsAt(filling,n2)
| holdsAt(waterLevel(n2),n2) ),
inference(copy,[status(thm)],[c_11470]) ).
cnf(c_10633,plain,
( less(n0,sK1(n0,filling,n1))
| holdsAt(waterLevel(n2),n2) ),
inference(resolve,[status(thm)],[c_10615,c_2049]) ).
cnf(c_10639,plain,
( less(sK1(n0,filling,n1),n1)
| holdsAt(waterLevel(n2),n2) ),
inference(resolve,[status(thm)],[c_10615,c_1627]) ).
cnf(c_10911,plain,
( n2 = A
| ~ holdsAt(waterLevel(A),n2)
| less(n0,sK1(n0,filling,n1)) ),
inference(resolve,[status(thm)],[c_10633,c_126]) ).
cnf(c_10918,plain,
( n2 = A
| ~ holdsAt(waterLevel(A),n2)
| less(sK1(n0,filling,n1),n1) ),
inference(resolve,[status(thm)],[c_10639,c_126]) ).
cnf(c_11471,plain,
( releasedAt(filling,n1)
| waterLevel(sK3(sK2(filling,n1),filling,n1)) = filling
| happens(sK4(filling,n2),n2)
| less(sK1(n0,filling,n1),n1) ),
inference(resolve,[status(thm)],[c_2274,c_200]) ).
cnf(c_11472,plain,
( releasedAt(filling,n1)
| happens(sK4(filling,n2),n2)
| less(sK1(n0,filling,n1),n1) ),
inference(resolve,[status(thm)],[c_122,c_11471]) ).
cnf(c_11046,plain,
( happens(sK4(filling,n2),n2)
| less(sK1(n0,filling,n1),n1) ),
inference(resolve,[status(thm)],[c_505,c_11472]) ).
cnf(c_11473,plain,
( holdsAt(waterLevel(n3),n2)
| n0 = n2
| less(sK1(n0,filling,n1),n1) ),
inference(resolve,[status(thm)],[c_11046,c_131]) ).
cnf(c_11474,plain,
( holdsAt(waterLevel(n3),n2)
| n2 = n0
| less(sK1(n0,filling,n1),n1) ),
inference(copy,[status(thm)],[c_11473]) ).
cnf(c_11049,plain,
( holdsAt(waterLevel(n3),n2)
| less(sK1(n0,filling,n1),n1) ),
inference(resolve,[status(thm)],[c_270,c_11474]) ).
cnf(c_11475,plain,
( n2 = n3
| less(sK1(n0,filling,n1),n1)
| less(sK1(n0,filling,n1),n1) ),
inference(resolve,[status(thm)],[c_11049,c_10918]) ).
cnf(c_11476,plain,
( n2 = n3
| less(sK1(n0,filling,n1),n1) ),
inference(copy,[status(thm)],[c_11475]) ).
cnf(c_11052,plain,
less(sK1(n0,filling,n1),n1),
inference(resolve,[status(thm)],[c_240,c_11476]) ).
cnf(c_11477,plain,
( n0 = sK1(n0,filling,n1)
| n1 = sK1(n0,filling,n1) ),
inference(resolve,[status(thm)],[c_11052,c_507]) ).
cnf(c_11478,plain,
( n0 = sK1(n0,filling,n1)
| sK1(n0,filling,n1) = n1 ),
inference(copy,[status(thm)],[c_11477]) ).
cnf(c_11217,plain,
( sK1(n0,filling,n1) = n0
| sK1(n0,filling,n1) = n1 ),
inference(copy,[status(thm)],[c_11478]) ).
cnf(c_11479,plain,
n1 != sK1(n0,filling,n1),
inference(resolve,[status(thm)],[c_11052,c_80]) ).
cnf(c_11221,plain,
sK1(n0,filling,n1) != n1,
inference(copy,[status(thm)],[c_11479]) ).
cnf(c_11222,plain,
sK1(n0,filling,n1) = n0,
inference(resolve,[status(thm)],[c_11221,c_11217]) ).
cnf(c_11480,plain,
( n2 = A
| ~ holdsAt(waterLevel(A),n2)
| less(n0,n0) ),
inference(paramod,[status(thm)],[c_11222,c_10911]) ).
cnf(c_11232,plain,
( n2 = A
| ~ holdsAt(waterLevel(A),n2) ),
inference(resolve,[status(thm)],[c_180,c_11480]) ).
cnf(c_11481,plain,
( releasedAt(filling,n2)
| happens(sK4(filling,n2),n2)
| less(n0,n0) ),
inference(paramod,[status(thm)],[c_11222,c_5811]) ).
cnf(c_11249,plain,
( releasedAt(filling,n2)
| happens(sK4(filling,n2),n2) ),
inference(resolve,[status(thm)],[c_180,c_11481]) ).
cnf(c_11482,plain,
( releasedAt(filling,n1)
| waterLevel(sK3(sK2(filling,n1),filling,n1)) = filling
| happens(sK4(filling,n2),n2) ),
inference(resolve,[status(thm)],[c_11249,c_200]) ).
cnf(c_11483,plain,
( releasedAt(filling,n1)
| happens(sK4(filling,n2),n2) ),
inference(resolve,[status(thm)],[c_122,c_11482]) ).
cnf(c_11309,plain,
happens(sK4(filling,n2),n2),
inference(resolve,[status(thm)],[c_505,c_11483]) ).
cnf(c_11484,plain,
( holdsAt(waterLevel(n3),n2)
| n0 = n2 ),
inference(resolve,[status(thm)],[c_11309,c_131]) ).
cnf(c_11485,plain,
( holdsAt(waterLevel(n3),n2)
| n2 = n0 ),
inference(copy,[status(thm)],[c_11484]) ).
cnf(c_11316,plain,
holdsAt(waterLevel(n3),n2),
inference(resolve,[status(thm)],[c_270,c_11485]) ).
cnf(c_11486,plain,
n2 = n3,
inference(resolve,[status(thm)],[c_11316,c_11232]) ).
cnf(c_11334,plain,
$false,
inference(resolve,[status(thm)],[c_240,c_11486]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR005+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n016.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 23:59:45 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 2025009 was started by sandbox on n016,
% 0.09/0.35 % Sat Sep 26 23:59:45 2026
% 0.09/0.35 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.13/0.37
% 0.13/0.37 % From the command line: assign(max_seconds, 300).
% 63.57/8.78
% 63.57/8.78 % given #500 (T,wt=9): 654 n1 = A | less(A,n4) | -less(A,n1). [resolve(641,a,81,b)].
% 63.57/8.78
% 63.57/8.78 % given #1000 (T,wt=11): 1801 holdsAt(filling,n2) | holdsAt(waterLevel(f10(overflow,waterLevel(n3),n2)),n2). [resolve(1792,b,155,a),flip(b),flip(c),unit_del(b,123),unit_del(c,121),unit_del(d,124)].
% 63.57/8.78
% 63.57/8.78 % given #1500 (T,wt=12): 3434 less(f2(n0,filling,n2),n2) | less_or_equal(f4(n0,n5,spilling),n4). [resolve(3297,a,91,a)].
% 63.57/8.78
% 63.57/8.78 % given #2000 (T,wt=12): 4790 less(n0,f2(n0,filling,n2)) | less_or_equal(n0,f4(n0,n8,spilling)). [resolve(4768,a,102,b)].
% 63.57/8.78
% 63.57/8.78 % given #2500 (T,wt=12): 6008 less(n0,f2(n0,filling,n8)) | less_or_equal(f2(n0,filling,n2),n5). [resolve(6001,b,102,b)].
% 63.57/8.78
% 63.57/8.78 % given #3000 (T,wt=11): 7013 f5(filling,n2) = overflow | less_or_equal(f2(n0,filling,n6),n9). [resolve(7012,b,102,b)].
% 63.57/8.78
% 63.57/8.78 % given #3500 (F,wt=6): 8782 f2(n0,filling,n4) != n9. [resolve(8760,a,80,a),flip(a)].
% 63.57/8.78
% 63.57/8.78 % given #4000 (T,wt=12): 8293 f1(n0,filling,n2) = overflow | f4(n0,n4,spilling) != n4. [resolve(7692,b,80,a),flip(b)].
% 63.57/8.78
% 63.57/8.78 % given #4500 (T,wt=8): 11241 releasedAt(waterLevel(n1),n2) | holdsAt(waterLevel(n1),n2). [back_rewrite(10867),rewrite([11222(5)]),unit_del(a,180)].
% 63.57/8.78
% 63.57/8.78 % SZS status Theorem for theBenchmark
% 63.57/8.78
% 63.57/8.78 % Proof 1 at 6.75 (+ 1.57) seconds.
% 63.57/8.78 % Length of proof is 214.
% 63.57/8.78 % Level of proof is 33.
% 63.57/8.78 % Maximum clause weight is 39.000.
% 63.57/8.78 % Given clauses 4508.
% 63.57/8.78
% 63.57/8.78 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------