0.09/0.11	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.09/0.11	% Command  : tptp2X_and_run_prover9 %d %s
0.10/0.32	% Computer : n017.cluster.edu
0.10/0.32	% Model    : x86_64 x86_64
0.10/0.32	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.32	% Memory   : 8042.1875MB
0.10/0.32	% OS       : Linux 3.10.0-693.el7.x86_64
0.10/0.32	% CPULimit : 1440
0.10/0.32	% WCLimit  : 180
0.10/0.32	% DateTime : Mon Jul  3 07:19:08 EDT 2023
0.10/0.32	% CPUTime  : 
0.77/1.04	============================== Prover9 ===============================
0.77/1.04	Prover9 (32) version 2009-11A, November 2009.
0.77/1.04	Process 19394 was started by sandbox on n017.cluster.edu,
0.77/1.04	Mon Jul  3 07:19:09 2023
0.77/1.04	The command was "/export/starexec/sandbox/solver/bin/prover9 -t 1440 -f /tmp/Prover9_19241_n017.cluster.edu".
0.77/1.04	============================== end of head ===========================
0.77/1.04	
0.77/1.04	============================== INPUT =================================
0.77/1.04	
0.77/1.04	% Reading from file /tmp/Prover9_19241_n017.cluster.edu
0.77/1.04	
0.77/1.04	set(prolog_style_variables).
0.77/1.04	set(auto2).
0.77/1.04	    % set(auto2) -> set(auto).
0.77/1.04	    % set(auto) -> set(auto_inference).
0.77/1.04	    % set(auto) -> set(auto_setup).
0.77/1.04	    % set(auto_setup) -> set(predicate_elim).
0.77/1.04	    % set(auto_setup) -> assign(eq_defs, unfold).
0.77/1.04	    % set(auto) -> set(auto_limits).
0.77/1.04	    % set(auto_limits) -> assign(max_weight, "100.000").
0.77/1.04	    % set(auto_limits) -> assign(sos_limit, 20000).
0.77/1.04	    % set(auto) -> set(auto_denials).
0.77/1.04	    % set(auto) -> set(auto_process).
0.77/1.04	    % set(auto2) -> assign(new_constants, 1).
0.77/1.04	    % set(auto2) -> assign(fold_denial_max, 3).
0.77/1.04	    % set(auto2) -> assign(max_weight, "200.000").
0.77/1.04	    % set(auto2) -> assign(max_hours, 1).
0.77/1.04	    % assign(max_hours, 1) -> assign(max_seconds, 3600).
0.77/1.04	    % set(auto2) -> assign(max_seconds, 0).
0.77/1.04	    % set(auto2) -> assign(max_minutes, 5).
0.77/1.04	    % assign(max_minutes, 5) -> assign(max_seconds, 300).
0.77/1.04	    % set(auto2) -> set(sort_initial_sos).
0.77/1.04	    % set(auto2) -> assign(sos_limit, -1).
0.77/1.04	    % set(auto2) -> assign(lrs_ticks, 3000).
0.77/1.04	    % set(auto2) -> assign(max_megs, 400).
0.77/1.04	    % set(auto2) -> assign(stats, some).
0.77/1.04	    % set(auto2) -> clear(echo_input).
0.77/1.04	    % set(auto2) -> set(quiet).
0.77/1.04	    % set(auto2) -> clear(print_initial_clauses).
0.77/1.04	    % set(auto2) -> clear(print_given).
0.77/1.04	assign(lrs_ticks,-1).
0.77/1.04	assign(sos_limit,10000).
0.77/1.04	assign(order,kbo).
0.77/1.04	set(lex_order_vars).
0.77/1.04	clear(print_given).
0.77/1.04	
0.77/1.04	% formulas(sos).  % not echoed (55 formulas)
0.77/1.04	
0.77/1.04	============================== end of input ==========================
0.77/1.04	
0.77/1.04	% From the command line: assign(max_seconds, 1440).
0.77/1.04	
0.77/1.04	============================== PROCESS NON-CLAUSAL FORMULAS ==========
0.77/1.04	
0.77/1.04	% Formulas that are not ordinary clauses:
0.77/1.04	1 (all Event all Time all Fluent all Fluent2 all Offset (initiates(Event,Fluent,Time) & -stoppedIn(Time,Fluent,plus(Time,Offset)) & trajectory(Fluent,Time,Fluent2,Offset) & less(n0,Offset) & happens(Event,Time) -> holdsAt(Fluent2,plus(Time,Offset)))) # label(change_holding) # label(axiom) # label(non_clause).  [assumption].
0.77/1.04	2 (all Event all Time all Fluent (happens(Event,Time) & initiates(Event,Fluent,Time) -> holdsAt(Fluent,plus(Time,n1)))) # label(happens_holds) # label(axiom) # label(non_clause).  [assumption].
0.77/1.04	3 (all Event all Time all Fluent ((initiates(Event,Fluent,Time) | terminates(Event,Fluent,Time)) & happens(Event,Time) -> -releasedAt(Fluent,plus(Time,n1)))) # label(happens_not_released) # label(axiom) # label(non_clause).  [assumption].
0.77/1.04	4 (all Fluent all Time (-(exists Event (terminates(Event,Fluent,Time) & happens(Event,Time))) & -releasedAt(Fluent,plus(Time,n1)) & holdsAt(Fluent,Time) -> holdsAt(Fluent,plus(Time,n1)))) # label(keep_holding) # label(axiom) # label(non_clause).  [assumption].
0.77/1.04	5 (all Time1 all Fluent all Time2 ((exists Event exists Time (less(Time,Time2) & terminates(Event,Fluent,Time) & less(Time1,Time) & happens(Event,Time))) <-> stoppedIn(Time1,Fluent,Time2))) # label(stoppedin_defn) # label(axiom) # label(non_clause).  [assumption].
0.77/1.04	6 (all Fluent all Time (releasedAt(Fluent,Time) & -(exists Event (happens(Event,Time) & (initiates(Event,Fluent,Time) | terminates(Event,Fluent,Time)))) -> releasedAt(Fluent,plus(Time,n1)))) # label(keep_released) # label(axiom) # label(non_clause).  [assumption].
0.77/1.04	7 (all Event all Time all Fluent (releases(Event,Fluent,Time) & happens(Event,Time) -> releasedAt(Fluent,plus(Time,n1)))) # label(happens_releases) # label(axiom) # label(non_clause).  [assumption].
0.77/1.04	8 (all Fluent all Time (-releasedAt(Fluent,Time) & -(exists Event (releases(Event,Fluent,Time) & happens(Event,Time))) -> -releasedAt(Fluent,plus(Time,n1)))) # label(keep_not_released) # label(axiom) # label(non_clause).  [assumption].
0.77/1.04	9 (all Event all Time all Fluent (terminates(Event,Fluent,Time) & happens(Event,Time) -> -holdsAt(Fluent,plus(Time,n1)))) # label(happens_terminates_not_holds) # label(axiom) # label(non_clause).  [assumption].
0.77/1.04	10 (all Time1 all Time2 all Fluent ((exists Event exists Time (happens(Event,Time) & less(Time1,Time) & less(Time,Time2) & initiates(Event,Fluent,Time))) <-> startedIn(Time1,Fluent,Time2))) # label(startedin_defn) # label(axiom) # label(non_clause).  [assumption].
0.77/1.04	11 (all Fluent all Time (-(exists Event (happens(Event,Time) & initiates(Event,Fluent,Time))) & -releasedAt(Fluent,plus(Time,n1)) & -holdsAt(Fluent,Time) -> -holdsAt(Fluent,plus(Time,n1)))) # label(keep_not_holding) # label(axiom) # label(non_clause).  [assumption].
0.77/1.04	12 (all Event all Time1 all Fluent1 all Time2 all Fluent2 (-startedIn(Time1,Fluent1,plus(Time1,Time2)) & antitrajectory(Fluent1,Time1,Fluent2,Time2) & less(n0,Time2) & terminates(Event,Fluent1,Time1) & happens(Event,Time1) -> holdsAt(Fluent2,plus(Time1,Time2)))) # label(antitrajectory) # label(axiom) # label(non_clause).  [assumption].
0.77/1.04	13 (all Event all Fluent all Time ((exists Height (waterLevel(Height) = Fluent & tapOn = Event)) <-> releases(Event,Fluent,Time))) # label(releases_all_defn) # label(axiom) # label(non_clause).  [assumption].
0.77/1.04	14 (all Height1 all Time all Height2 all Offset (holdsAt(waterLevel(Height1),Time) & Height2 = plus(Height1,Offset) -> trajectory(filling,Time,waterLevel(Height2),Offset))) # label(change_of_waterLevel) # label(axiom) # label(non_clause).  [assumption].
0.77/1.04	15 (all Time all Height1 all Height2 (holdsAt(waterLevel(Height1),Time) & holdsAt(waterLevel(Height2),Time) -> Height2 = Height1)) # label(same_waterLevel) # label(axiom) # label(non_clause).  [assumption].
0.77/1.04	16 (all Event all Fluent all Time (initiates(Event,Fluent,Time) <-> (exists Height (Event = overflow & waterLevel(Height) = Fluent & holdsAt(waterLevel(Height),Time))) | (exists Height (Fluent = waterLevel(Height) & Event = tapOff & holdsAt(waterLevel(Height),Time))) | overflow = Event & Fluent = spilling | Fluent = filling & Event = tapOn)) # label(initiates_all_defn) # label(axiom) # label(non_clause).  [assumption].
0.77/1.04	17 (all Event all Time (overflow = Event & holdsAt(filling,Time) & holdsAt(waterLevel(n3),Time) | Event = tapOn & n0 = Time <-> happens(Event,Time))) # label(happens_all_defn) # label(axiom) # label(non_clause).  [assumption].
0.77/1.04	18 (all X waterLevel(X) != spilling) # label(spilling_not_waterLevel) # label(axiom) # label(non_clause).  [assumption].
0.77/1.04	19 (all Event all Fluent all Time (terminates(Event,Fluent,Time) <-> Event = tapOff & filling = Fluent | Fluent = filling & Event = overflow)) # label(terminates_all_defn) # label(axiom) # label(non_clause).  [assumption].
0.77/1.04	20 (all X all Y (Y = X <-> waterLevel(X) = waterLevel(Y))) # label(distinct_waterLevels) # label(axiom) # label(non_clause).  [assumption].
0.77/1.04	21 (all X filling != waterLevel(X)) # label(filling_not_waterLevel) # label(axiom) # label(non_clause).  [assumption].
0.77/1.04	22 (all X (less(X,n9) <-> less_or_equal(X,n8))) # label(less9) # label(axiom) # label(non_clause).  [assumption].
0.77/1.04	23 (all X (less(X,n6) <-> less_or_equal(X,n5))) # label(less6) # label(axiom) # label(non_clause).  [assumption].
0.77/1.04	24 (all X all Y plus(X,Y) = plus(Y,X)) # label(symmetry_of_plus) # label(axiom) # label(non_clause).  [assumption].
0.77/1.04	25 (all X (less_or_equal(X,n0) <-> less(X,n1))) # label(less1) # label(axiom) # label(non_clause).  [assumption].
0.77/1.04	26 (all Height -releasedAt(waterLevel(Height),n0)) # label(not_released_waterLevel_0) # label(hypothesis) # label(non_clause).  [assumption].
0.77/1.04	27 (all X (less_or_equal(X,n4) <-> less(X,n5))) # label(less5) # label(axiom) # label(non_clause).  [assumption].
0.77/1.04	28 (all X all Y (Y != X & -less(Y,X) <-> less(X,Y))) # label(less_property) # label(axiom) # label(non_clause).  [assumption].
0.77/1.04	29 (all X (less_or_equal(X,n7) <-> less(X,n8))) # label(less8) # label(axiom) # label(non_clause).  [assumption].
0.77/1.04	30 (all X (less_or_equal(X,n1) <-> less(X,n2))) # label(less2) # label(axiom) # label(non_clause).  [assumption].
0.77/1.04	31 (all X (less(X,n4) <-> less_or_equal(X,n3))) # label(less4) # label(axiom) # label(non_clause).  [assumption].
0.77/1.04	32 -(exists X less(X,n0)) # label(less0) # label(axiom) # label(non_clause).  [assumption].
0.77/1.04	33 (all X (less_or_equal(X,n2) <-> less(X,n3))) # label(less3) # label(axiom) # label(non_clause).  [assumption].
0.77/1.04	34 (all X (less(X,n7) <-> less_or_equal(X,n6))) # label(less7) # label(axiom) # label(non_clause).  [assumption].
0.77/1.04	35 (all X all Y (less_or_equal(X,Y) <-> less(X,Y) | X = Y)) # label(less_or_equal) # label(axiom) # label(non_clause).  [assumption].
0.77/1.04	
0.77/1.04	============================== end of process non-clausal formulas ===
0.77/1.04	
0.77/1.04	============================== PROCESS INITIAL CLAUSES ===============
0.77/1.04	
0.77/1.04	============================== PREDICATE ELIMINATION =================
0.77/1.04	36 -releasedAt(A,B) | initiates(f4(A,B),A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)) # label(keep_released) # label(axiom).  [clausify(6)].
0.77/1.04	37 -initiates(A,B,C) | stoppedIn(C,B,plus(C,D)) | -trajectory(B,C,E,D) | -less(n0,D) | -happens(A,C) | holdsAt(E,plus(C,D)) # label(change_holding) # label(axiom).  [clausify(1)].
0.77/1.04	38 -happens(A,B) | -initiates(A,C,B) | holdsAt(C,plus(B,n1)) # label(happens_holds) # label(axiom).  [clausify(2)].
0.77/1.04	39 -initiates(A,B,C) | -happens(A,C) | -releasedAt(B,plus(C,n1)) # label(happens_not_released) # label(axiom).  [clausify(3)].
0.77/1.04	Derived: -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)) | stoppedIn(B,A,plus(B,C)) | -trajectory(A,B,D,C) | -less(n0,C) | -happens(f4(A,B),B) | holdsAt(D,plus(B,C)).  [resolve(36,b,37,a)].
0.77/1.04	Derived: -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)) | -happens(f4(A,B),B) | holdsAt(A,plus(B,n1)).  [resolve(36,b,38,b)].
0.77/1.04	40 -happens(A,B) | -less(C,B) | -less(B,D) | -initiates(A,E,B) | startedIn(C,E,D) # label(startedin_defn) # label(axiom).  [clausify(10)].
0.77/1.04	Derived: -happens(f4(A,B),B) | -less(C,B) | -less(B,D) | startedIn(C,A,D) | -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)).  [resolve(40,d,36,b)].
0.77/1.04	41 initiates(f6(A,B,C),C,f7(A,B,C)) | -startedIn(A,C,B) # label(startedin_defn) # label(axiom).  [clausify(10)].
0.77/1.04	Derived: -startedIn(A,B,C) | stoppedIn(f7(A,C,B),B,plus(f7(A,C,B),D)) | -trajectory(B,f7(A,C,B),E,D) | -less(n0,D) | -happens(f6(A,C,B),f7(A,C,B)) | holdsAt(E,plus(f7(A,C,B),D)).  [resolve(41,a,37,a)].
0.77/1.04	Derived: -startedIn(A,B,C) | -happens(f6(A,C,B),f7(A,C,B)) | holdsAt(B,plus(f7(A,C,B),n1)).  [resolve(41,a,38,b)].
0.77/1.04	Derived: -startedIn(A,B,C) | -happens(f6(A,C,B),f7(A,C,B)) | -releasedAt(B,plus(f7(A,C,B),n1)).  [resolve(41,a,39,a)].
0.77/1.04	Derived: -startedIn(A,B,C) | -happens(f6(A,C,B),f7(A,C,B)) | -less(D,f7(A,C,B)) | -less(f7(A,C,B),E) | startedIn(D,B,E).  [resolve(41,a,40,d)].
0.77/1.04	42 initiates(f8(A,B),A,B) | releasedAt(A,plus(B,n1)) | holdsAt(A,B) | -holdsAt(A,plus(B,n1)) # label(keep_not_holding) # label(axiom).  [clausify(11)].
0.77/1.04	Derived: releasedAt(A,plus(B,n1)) | holdsAt(A,B) | -holdsAt(A,plus(B,n1)) | stoppedIn(B,A,plus(B,C)) | -trajectory(A,B,D,C) | -less(n0,C) | -happens(f8(A,B),B) | holdsAt(D,plus(B,C)).  [resolve(42,a,37,a)].
0.77/1.04	Derived: releasedAt(A,plus(B,n1)) | holdsAt(A,B) | -holdsAt(A,plus(B,n1)) | -happens(f8(A,B),B) | -less(C,B) | -less(B,D) | startedIn(C,A,D).  [resolve(42,a,40,d)].
0.77/1.04	43 -initiates(A,B,C) | overflow = A | waterLevel(f11(A,B,C)) = B | filling = B # label(initiates_all_defn) # label(axiom).  [clausify(16)].
0.77/1.04	Derived: overflow = f4(A,B) | waterLevel(f11(f4(A,B),A,B)) = A | filling = A | -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)).  [resolve(43,a,36,b)].
0.77/1.04	Derived: overflow = f6(A,B,C) | waterLevel(f11(f6(A,B,C),C,f7(A,B,C))) = C | filling = C | -startedIn(A,C,B).  [resolve(43,a,41,a)].
0.77/1.04	Derived: overflow = f8(A,B) | waterLevel(f11(f8(A,B),A,B)) = A | filling = A | releasedAt(A,plus(B,n1)) | holdsAt(A,B) | -holdsAt(A,plus(B,n1)).  [resolve(43,a,42,a)].
0.77/1.04	44 -initiates(A,B,C) | overflow = A | waterLevel(f11(A,B,C)) = B | tapOn = A # label(initiates_all_defn) # label(axiom).  [clausify(16)].
0.77/1.04	Derived: overflow = f4(A,B) | waterLevel(f11(f4(A,B),A,B)) = A | tapOn = f4(A,B) | -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)).  [resolve(44,a,36,b)].
0.77/1.04	Derived: overflow = f6(A,B,C) | waterLevel(f11(f6(A,B,C),C,f7(A,B,C))) = C | tapOn = f6(A,B,C) | -startedIn(A,C,B).  [resolve(44,a,41,a)].
0.77/1.04	Derived: overflow = f8(A,B) | waterLevel(f11(f8(A,B),A,B)) = A | tapOn = f8(A,B) | releasedAt(A,plus(B,n1)) | holdsAt(A,B) | -holdsAt(A,plus(B,n1)).  [resolve(44,a,42,a)].
0.77/1.04	45 -initiates(A,B,C) | overflow = A | tapOff = A | filling = B # label(initiates_all_defn) # label(axiom).  [clausify(16)].
0.77/1.04	Derived: overflow = f4(A,B) | tapOff = f4(A,B) | filling = A | -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)).  [resolve(45,a,36,b)].
0.77/1.04	Derived: overflow = f6(A,B,C) | tapOff = f6(A,B,C) | filling = C | -startedIn(A,C,B).  [resolve(45,a,41,a)].
0.77/1.04	Derived: overflow = f8(A,B) | tapOff = f8(A,B) | filling = A | releasedAt(A,plus(B,n1)) | holdsAt(A,B) | -holdsAt(A,plus(B,n1)).  [resolve(45,a,42,a)].
0.77/1.04	46 -initiates(A,B,C) | overflow = A | tapOff = A | tapOn = A # label(initiates_all_defn) # label(axiom).  [clausify(16)].
0.77/1.04	Derived: overflow = f4(A,B) | tapOff = f4(A,B) | tapOn = f4(A,B) | -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)).  [resolve(46,a,36,b)].
0.77/1.04	Derived: overflow = f6(A,B,C) | tapOff = f6(A,B,C) | tapOn = f6(A,B,C) | -startedIn(A,C,B).  [resolve(46,a,41,a)].
0.77/1.04	Derived: overflow = f8(A,B) | tapOff = f8(A,B) | tapOn = f8(A,B) | releasedAt(A,plus(B,n1)) | holdsAt(A,B) | -holdsAt(A,plus(B,n1)).  [resolve(46,a,42,a)].
0.77/1.04	47 -initiates(A,B,C) | overflow = A | holdsAt(waterLevel(f11(A,B,C)),C) | filling = B # label(initiates_all_defn) # label(axiom).  [clausify(16)].
0.77/1.04	Derived: overflow = f4(A,B) | holdsAt(waterLevel(f11(f4(A,B),A,B)),B) | filling = A | -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)).  [resolve(47,a,36,b)].
0.77/1.04	Derived: overflow = f6(A,B,C) | holdsAt(waterLevel(f11(f6(A,B,C),C,f7(A,B,C))),f7(A,B,C)) | filling = C | -startedIn(A,C,B).  [resolve(47,a,41,a)].
0.77/1.04	Derived: overflow = f8(A,B) | holdsAt(waterLevel(f11(f8(A,B),A,B)),B) | filling = A | releasedAt(A,plus(B,n1)) | holdsAt(A,B) | -holdsAt(A,plus(B,n1)).  [resolve(47,a,42,a)].
0.77/1.04	48 -initiates(A,B,C) | overflow = A | holdsAt(waterLevel(f11(A,B,C)),C) | tapOn = A # label(initiates_all_defn) # label(axiom).  [clausify(16)].
0.77/1.04	Derived: overflow = f4(A,B) | holdsAt(waterLevel(f11(f4(A,B),A,B)),B) | tapOn = f4(A,B) | -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)).  [resolve(48,a,36,b)].
0.77/1.04	Derived: overflow = f6(A,B,C) | holdsAt(waterLevel(f11(f6(A,B,C),C,f7(A,B,C))),f7(A,B,C)) | tapOn = f6(A,B,C) | -startedIn(A,C,B).  [resolve(48,a,41,a)].
0.77/1.04	Derived: overflow = f8(A,B) | holdsAt(waterLevel(f11(f8(A,B),A,B)),B) | tapOn = f8(A,B) | releasedAt(A,plus(B,n1)) | holdsAt(A,B) | -holdsAt(A,plus(B,n1)).  [resolve(48,a,42,a)].
0.77/1.04	49 -initiates(A,B,C) | waterLevel(f10(A,B,C)) = B | waterLevel(f11(A,B,C)) = B | spilling = B | filling = B # label(initiates_all_defn) # label(axiom).  [clausify(16)].
0.77/1.04	Derived: waterLevel(f10(f4(A,B),A,B)) = A | waterLevel(f11(f4(A,B),A,B)) = A | spilling = A | filling = A | -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)).  [resolve(49,a,36,b)].
0.77/1.04	Derived: waterLevel(f10(f6(A,B,C),C,f7(A,B,C))) = C | waterLevel(f11(f6(A,B,C),C,f7(A,B,C))) = C | spilling = C | filling = C | -startedIn(A,C,B).  [resolve(49,a,41,a)].
0.77/1.04	Derived: waterLevel(f10(f8(A,B),A,B)) = A | waterLevel(f11(f8(A,B),A,B)) = A | spilling = A | filling = A | releasedAt(A,plus(B,n1)) | holdsAt(A,B) | -holdsAt(A,plus(B,n1)).  [resolve(49,a,42,a)].
0.77/1.04	50 -initiates(A,B,C) | waterLevel(f10(A,B,C)) = B | waterLevel(f11(A,B,C)) = B | spilling = B | tapOn = A # label(initiates_all_defn) # label(axiom).  [clausify(16)].
0.77/1.04	Derived: waterLevel(f10(f4(A,B),A,B)) = A | waterLevel(f11(f4(A,B),A,B)) = A | spilling = A | tapOn = f4(A,B) | -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)).  [resolve(50,a,36,b)].
0.77/1.04	Derived: waterLevel(f10(f6(A,B,C),C,f7(A,B,C))) = C | waterLevel(f11(f6(A,B,C),C,f7(A,B,C))) = C | spilling = C | tapOn = f6(A,B,C) | -startedIn(A,C,B).  [resolve(50,a,41,a)].
0.77/1.04	Derived: waterLevel(f10(f8(A,B),A,B)) = A | waterLevel(f11(f8(A,B),A,B)) = A | spilling = A | tapOn = f8(A,B) | releasedAt(A,plus(B,n1)) | holdsAt(A,B) | -holdsAt(A,plus(B,n1)).  [resolve(50,a,42,a)].
0.77/1.05	51 -initiates(A,B,C) | waterLevel(f10(A,B,C)) = B | tapOff = A | spilling = B | filling = B # label(initiates_all_defn) # label(axiom).  [clausify(16)].
0.77/1.05	Derived: waterLevel(f10(f4(A,B),A,B)) = A | tapOff = f4(A,B) | spilling = A | filling = A | -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)).  [resolve(51,a,36,b)].
0.77/1.05	Derived: waterLevel(f10(f6(A,B,C),C,f7(A,B,C))) = C | tapOff = f6(A,B,C) | spilling = C | filling = C | -startedIn(A,C,B).  [resolve(51,a,41,a)].
0.77/1.05	Derived: waterLevel(f10(f8(A,B),A,B)) = A | tapOff = f8(A,B) | spilling = A | filling = A | releasedAt(A,plus(B,n1)) | holdsAt(A,B) | -holdsAt(A,plus(B,n1)).  [resolve(51,a,42,a)].
0.77/1.05	52 -initiates(A,B,C) | waterLevel(f10(A,B,C)) = B | tapOff = A | spilling = B | tapOn = A # label(initiates_all_defn) # label(axiom).  [clausify(16)].
0.77/1.05	Derived: waterLevel(f10(f4(A,B),A,B)) = A | tapOff = f4(A,B) | spilling = A | tapOn = f4(A,B) | -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)).  [resolve(52,a,36,b)].
0.77/1.05	Derived: waterLevel(f10(f6(A,B,C),C,f7(A,B,C))) = C | tapOff = f6(A,B,C) | spilling = C | tapOn = f6(A,B,C) | -startedIn(A,C,B).  [resolve(52,a,41,a)].
0.77/1.05	Derived: waterLevel(f10(f8(A,B),A,B)) = A | tapOff = f8(A,B) | spilling = A | tapOn = f8(A,B) | releasedAt(A,plus(B,n1)) | holdsAt(A,B) | -holdsAt(A,plus(B,n1)).  [resolve(52,a,42,a)].
0.77/1.05	53 -initiates(A,B,C) | waterLevel(f10(A,B,C)) = B | holdsAt(waterLevel(f11(A,B,C)),C) | spilling = B | filling = B # label(initiates_all_defn) # label(axiom).  [clausify(16)].
0.77/1.05	Derived: waterLevel(f10(f4(A,B),A,B)) = A | holdsAt(waterLevel(f11(f4(A,B),A,B)),B) | spilling = A | filling = A | -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)).  [resolve(53,a,36,b)].
0.77/1.05	Derived: waterLevel(f10(f6(A,B,C),C,f7(A,B,C))) = C | holdsAt(waterLevel(f11(f6(A,B,C),C,f7(A,B,C))),f7(A,B,C)) | spilling = C | filling = C | -startedIn(A,C,B).  [resolve(53,a,41,a)].
0.77/1.05	Derived: waterLevel(f10(f8(A,B),A,B)) = A | holdsAt(waterLevel(f11(f8(A,B),A,B)),B) | spilling = A | filling = A | releasedAt(A,plus(B,n1)) | holdsAt(A,B) | -holdsAt(A,plus(B,n1)).  [resolve(53,a,42,a)].
0.77/1.05	54 -initiates(A,B,C) | waterLevel(f10(A,B,C)) = B | holdsAt(waterLevel(f11(A,B,C)),C) | spilling = B | tapOn = A # label(initiates_all_defn) # label(axiom).  [clausify(16)].
0.77/1.05	Derived: waterLevel(f10(f4(A,B),A,B)) = A | holdsAt(waterLevel(f11(f4(A,B),A,B)),B) | spilling = A | tapOn = f4(A,B) | -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)).  [resolve(54,a,36,b)].
0.77/1.05	Derived: waterLevel(f10(f6(A,B,C),C,f7(A,B,C))) = C | holdsAt(waterLevel(f11(f6(A,B,C),C,f7(A,B,C))),f7(A,B,C)) | spilling = C | tapOn = f6(A,B,C) | -startedIn(A,C,B).  [resolve(54,a,41,a)].
0.77/1.05	Derived: waterLevel(f10(f8(A,B),A,B)) = A | holdsAt(waterLevel(f11(f8(A,B),A,B)),B) | spilling = A | tapOn = f8(A,B) | releasedAt(A,plus(B,n1)) | holdsAt(A,B) | -holdsAt(A,plus(B,n1)).  [resolve(54,a,42,a)].
0.77/1.05	55 -initiates(A,B,C) | holdsAt(waterLevel(f10(A,B,C)),C) | waterLevel(f11(A,B,C)) = B | spilling = B | filling = B # label(initiates_all_defn) # label(axiom).  [clausify(16)].
0.77/1.05	Derived: holdsAt(waterLevel(f10(f4(A,B),A,B)),B) | waterLevel(f11(f4(A,B),A,B)) = A | spilling = A | filling = A | -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)).  [resolve(55,a,36,b)].
0.77/1.05	Derived: holdsAt(waterLevel(f10(f6(A,B,C),C,f7(A,B,C))),f7(A,B,C)) | waterLevel(f11(f6(A,B,C),C,f7(A,B,C))) = C | spilling = C | filling = C | -startedIn(A,C,B).  [resolve(55,a,41,a)].
0.77/1.05	Derived: holdsAt(waterLevel(f10(f8(A,B),A,B)),B) | waterLevel(f11(f8(A,B),A,B)) = A | spilling = A | filling = A | releasedAt(A,plus(B,n1)) | holdsAt(A,B) | -holdsAt(A,plus(B,n1)).  [resolve(55,a,42,a)].
0.77/1.05	56 -initiates(A,B,C) | holdsAt(waterLevel(f10(A,B,C)),C) | waterLevel(f11(A,B,C)) = B | spilling = B | tapOn = A # label(initiates_all_defn) # label(axiom).  [clausify(16)].
0.77/1.05	Derived: holdsAt(waterLevel(f10(f4(A,B),A,B)),B) | waterLevel(f11(f4(A,B),A,B)) = A | spilling = A | tapOn = f4(A,B) | -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)).  [resolve(56,a,36,b)].
0.77/1.05	Derived: holdsAt(waterLevel(f10(f6(A,B,C),C,f7(A,B,C))),f7(A,B,C)) | waterLevel(f11(f6(A,B,C),C,f7(A,B,C))) = C | spilling = C | tapOn = f6(A,B,C) | -startedIn(A,C,B).  [resolve(56,a,41,a)].
0.77/1.05	Derived: holdsAt(waterLevel(f10(f8(A,B),A,B)),B) | waterLevel(f11(f8(A,B),A,B)) = A | spilling = A | tapOn = f8(A,B) | releasedAt(A,plus(B,n1)) | holdsAt(A,B) | -holdsAt(A,plus(B,n1)).  [resolve(56,a,42,a)].
0.77/1.05	57 -initiates(A,B,C) | holdsAt(waterLevel(f10(A,B,C)),C) | tapOff = A | spilling = B | filling = B # label(initiates_all_defn) # label(axiom).  [clausify(16)].
0.77/1.05	Derived: holdsAt(waterLevel(f10(f4(A,B),A,B)),B) | tapOff = f4(A,B) | spilling = A | filling = A | -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)).  [resolve(57,a,36,b)].
0.77/1.05	Derived: holdsAt(waterLevel(f10(f6(A,B,C),C,f7(A,B,C))),f7(A,B,C)) | tapOff = f6(A,B,C) | spilling = C | filling = C | -startedIn(A,C,B).  [resolve(57,a,41,a)].
0.77/1.05	Derived: holdsAt(waterLevel(f10(f8(A,B),A,B)),B) | tapOff = f8(A,B) | spilling = A | filling = A | releasedAt(A,plus(B,n1)) | holdsAt(A,B) | -holdsAt(A,plus(B,n1)).  [resolve(57,a,42,a)].
0.77/1.05	58 -initiates(A,B,C) | holdsAt(waterLevel(f10(A,B,C)),C) | tapOff = A | spilling = B | tapOn = A # label(initiates_all_defn) # label(axiom).  [clausify(16)].
0.77/1.05	Derived: holdsAt(waterLevel(f10(f4(A,B),A,B)),B) | tapOff = f4(A,B) | spilling = A | tapOn = f4(A,B) | -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)).  [resolve(58,a,36,b)].
0.77/1.05	Derived: holdsAt(waterLevel(f10(f6(A,B,C),C,f7(A,B,C))),f7(A,B,C)) | tapOff = f6(A,B,C) | spilling = C | tapOn = f6(A,B,C) | -startedIn(A,C,B).  [resolve(58,a,41,a)].
0.77/1.05	Derived: holdsAt(waterLevel(f10(f8(A,B),A,B)),B) | tapOff = f8(A,B) | spilling = A | tapOn = f8(A,B) | releasedAt(A,plus(B,n1)) | holdsAt(A,B) | -holdsAt(A,plus(B,n1)).  [resolve(58,a,42,a)].
0.77/1.05	59 -initiates(A,B,C) | holdsAt(waterLevel(f10(A,B,C)),C) | holdsAt(waterLevel(f11(A,B,C)),C) | spilling = B | filling = B # label(initiates_all_defn) # label(axiom).  [clausify(16)].
0.77/1.05	Derived: holdsAt(waterLevel(f10(f4(A,B),A,B)),B) | holdsAt(waterLevel(f11(f4(A,B),A,B)),B) | spilling = A | filling = A | -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)).  [resolve(59,a,36,b)].
0.77/1.05	Derived: holdsAt(waterLevel(f10(f6(A,B,C),C,f7(A,B,C))),f7(A,B,C)) | holdsAt(waterLevel(f11(f6(A,B,C),C,f7(A,B,C))),f7(A,B,C)) | spilling = C | filling = C | -startedIn(A,C,B).  [resolve(59,a,41,a)].
0.77/1.05	Derived: holdsAt(waterLevel(f10(f8(A,B),A,B)),B) | holdsAt(waterLevel(f11(f8(A,B),A,B)),B) | spilling = A | filling = A | releasedAt(A,plus(B,n1)) | holdsAt(A,B) | -holdsAt(A,plus(B,n1)).  [resolve(59,a,42,a)].
0.77/1.05	60 -initiates(A,B,C) | holdsAt(waterLevel(f10(A,B,C)),C) | holdsAt(waterLevel(f11(A,B,C)),C) | spilling = B | tapOn = A # label(initiates_all_defn) # label(axiom).  [clausify(16)].
0.77/1.05	Derived: holdsAt(waterLevel(f10(f4(A,B),A,B)),B) | holdsAt(waterLevel(f11(f4(A,B),A,B)),B) | spilling = A | tapOn = f4(A,B) | -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)).  [resolve(60,a,36,b)].
0.77/1.05	Derived: holdsAt(waterLevel(f10(f6(A,B,C),C,f7(A,B,C))),f7(A,B,C)) | holdsAt(waterLevel(f11(f6(A,B,C),C,f7(A,B,C))),f7(A,B,C)) | spilling = C | tapOn = f6(A,B,C) | -startedIn(A,C,B).  [resolve(60,a,41,a)].
0.77/1.05	Derived: holdsAt(waterLevel(f10(f8(A,B),A,B)),B) | holdsAt(waterLevel(f11(f8(A,B),A,B)),B) | spilling = A | tapOn = f8(A,B) | releasedAt(A,plus(B,n1)) | holdsAt(A,B) | -holdsAt(A,plus(B,n1)).  [resolve(60,a,42,a)].
0.77/1.05	61 initiates(A,B,C) | overflow != A | waterLevel(D) != B | -holdsAt(waterLevel(D),C) # label(initiates_all_defn) # label(axiom).  [clausify(16)].
0.77/1.05	Derived: overflow != A | waterLevel(B) != C | -holdsAt(waterLevel(B),D) | stoppedIn(D,C,plus(D,E)) | -trajectory(C,D,F,E) | -less(n0,E) | -happens(A,D) | holdsAt(F,plus(D,E)).  [resolve(61,a,37,a)].
0.77/1.05	Derived: overflow != A | waterLevel(B) != C | -holdsAt(waterLevel(B),D) | -happens(A,D) | holdsAt(C,plus(D,n1)).  [resolve(61,a,38,b)].
0.77/1.05	Derived: overflow != A | waterLevel(B) != C | -holdsAt(waterLevel(B),D) | -happens(A,D) | -releasedAt(C,plus(D,n1)).  [resolve(61,a,39,a)].
0.77/1.05	Derived: overflow != A | waterLevel(B) != C | -holdsAt(waterLevel(B),D) | -happens(A,D) | -less(E,D) | -less(D,F) | startedIn(E,C,F).  [resolve(61,a,40,d)].
0.77/1.05	Derived: overflow != A | waterLevel(B) != C | -holdsAt(waterLevel(B),D) | waterLevel(f10(A,C,D)) = C | waterLevel(f11(A,C,D)) = C | spilling = C | filling = C.  [resolve(61,a,49,a)].
0.77/1.05	Derived: overflow != A | waterLevel(B) != C | -holdsAt(waterLevel(B),D) | waterLevel(f10(A,C,D)) = C | waterLevel(f11(A,C,D)) = C | spilling = C | tapOn = A.  [resolve(61,a,50,a)].
0.77/1.05	Derived: overflow != A | waterLevel(B) != C | -holdsAt(waterLevel(B),D) | waterLevel(f10(A,C,D)) = C | tapOff = A | spilling = C | filling = C.  [resolve(61,a,51,a)].
0.77/1.05	Derived: overflow != A | waterLevel(B) != C | -holdsAt(waterLevel(B),D) | waterLevel(f10(A,C,D)) = C | tapOff = A | spilling = C | tapOn = A.  [resolve(61,a,52,a)].
0.77/1.05	Derived: overflow != A | waterLevel(B) != C | -holdsAt(waterLevel(B),D) | waterLevel(f10(A,C,D)) = C | holdsAt(waterLevel(f11(A,C,D)),D) | spilling = C | filling = C.  [resolve(61,a,53,a)].
0.77/1.05	Derived: overflow != A | waterLevel(B) != C | -holdsAt(waterLevel(B),D) | waterLevel(f10(A,C,D)) = C | holdsAt(waterLevel(f11(A,C,D)),D) | spilling = C | tapOn = A.  [resolve(61,a,54,a)].
0.77/1.05	Derived: overflow != A | waterLevel(B) != C | -holdsAt(waterLevel(B),D) | holdsAt(waterLevel(f10(A,C,D)),D) | waterLevel(f11(A,C,D)) = C | spilling = C | filling = C.  [resolve(61,a,55,a)].
0.77/1.05	Derived: overflow != A | waterLevel(B) != C | -holdsAt(waterLevel(B),D) | holdsAt(waterLevel(f10(A,C,D)),D) | waterLevel(f11(A,C,D)) = C | spilling = C | tapOn = A.  [resolve(61,a,56,a)].
0.77/1.05	Derived: overflow != A | waterLevel(B) != C | -holdsAt(waterLevel(B),D) | holdsAt(waterLevel(f10(A,C,D)),D) | tapOff = A | spilling = C | filling = C.  [resolve(61,a,57,a)].
0.77/1.05	Derived: overflow != A | waterLevel(B) != C | -holdsAt(waterLevel(B),D) | holdsAt(waterLevel(f10(A,C,D)),D) | tapOff = A | spilling = C | tapOn = A.  [resolve(61,a,58,a)].
0.77/1.05	Derived: overflow != A | waterLevel(B) != C | -holdsAt(waterLevel(B),D) | holdsAt(waterLevel(f10(A,C,D)),D) | holdsAt(waterLevel(f11(A,C,D)),D) | spilling = C | filling = C.  [resolve(61,a,59,a)].
0.77/1.05	Derived: overflow != A | waterLevel(B) != C | -holdsAt(waterLevel(B),D) | holdsAt(waterLevel(f10(A,C,D)),D) | holdsAt(waterLevel(f11(A,C,D)),D) | spilling = C | tapOn = A.  [resolve(61,a,60,a)].
0.77/1.05	62 initiates(A,B,C) | waterLevel(D) != B | tapOff != A | -holdsAt(waterLevel(D),C) # label(initiates_all_defn) # label(axiom).  [clausify(16)].
0.77/1.05	Derived: waterLevel(A) != B | tapOff != C | -holdsAt(waterLevel(A),D) | stoppedIn(D,B,plus(D,E)) | -trajectory(B,D,F,E) | -less(n0,E) | -happens(C,D) | holdsAt(F,plus(D,E)).  [resolve(62,a,37,a)].
0.77/1.05	Derived: waterLevel(A) != B | tapOff != C | -holdsAt(waterLevel(A),D) | -happens(C,D) | holdsAt(B,plus(D,n1)).  [resolve(62,a,38,b)].
0.77/1.05	Derived: waterLevel(A) != B | tapOff != C | -holdsAt(waterLevel(A),D) | -happens(C,D) | -releasedAt(B,plus(D,n1)).  [resolve(62,a,39,a)].
0.77/1.05	Derived: waterLevel(A) != B | tapOff != C | -holdsAt(waterLevel(A),D) | -happens(C,D) | -less(E,D) | -less(D,F) | startedIn(E,B,F).  [resolve(62,a,40,d)].
0.77/1.05	Derived: waterLevel(A) != B | tapOff != C | -holdsAt(waterLevel(A),D) | overflow = C | waterLevel(f11(C,B,D)) = B | filling = B.  [resolve(62,a,43,a)].
0.77/1.05	Derived: waterLevel(A) != B | tapOff != C | -holdsAt(waterLevel(A),D) | overflow = C | waterLevel(f11(C,B,D)) = B | tapOn = C.  [resolve(62,a,44,a)].
0.77/1.05	Derived: waterLevel(A) != B | tapOff != C | -holdsAt(waterLevel(A),D) | overflow = C | holdsAt(waterLevel(f11(C,B,D)),D) | filling = B.  [resolve(62,a,47,a)].
0.77/1.05	Derived: waterLevel(A) != B | tapOff != C | -holdsAt(waterLevel(A),D) | overflow = C | holdsAt(waterLevel(f11(C,B,D)),D) | tapOn = C.  [resolve(62,a,48,a)].
0.77/1.05	Derived: waterLevel(A) != B | tapOff != C | -holdsAt(waterLevel(A),D) | waterLevel(f10(C,B,D)) = B | waterLevel(f11(C,B,D)) = B | spilling = B | filling = B.  [resolve(62,a,49,a)].
0.77/1.05	Derived: waterLevel(A) != B | tapOff != C | -holdsAt(waterLevel(A),D) | waterLevel(f10(C,B,D)) = B | waterLevel(f11(C,B,D)) = B | spilling = B | tapOn = C.  [resolve(62,a,50,a)].
0.77/1.06	Derived: waterLevel(A) != B | tapOff != C | -holdsAt(waterLevel(A),D) | waterLevel(f10(C,B,D)) = B | holdsAt(waterLevel(f11(C,B,D)),D) | spilling = B | filling = B.  [resolve(62,a,53,a)].
0.77/1.06	Derived: waterLevel(A) != B | tapOff != C | -holdsAt(waterLevel(A),D) | waterLevel(f10(C,B,D)) = B | holdsAt(waterLevel(f11(C,B,D)),D) | spilling = B | tapOn = C.  [resolve(62,a,54,a)].
0.77/1.06	Derived: waterLevel(A) != B | tapOff != C | -holdsAt(waterLevel(A),D) | holdsAt(waterLevel(f10(C,B,D)),D) | waterLevel(f11(C,B,D)) = B | spilling = B | filling = B.  [resolve(62,a,55,a)].
0.77/1.06	Derived: waterLevel(A) != B | tapOff != C | -holdsAt(waterLevel(A),D) | holdsAt(waterLevel(f10(C,B,D)),D) | waterLevel(f11(C,B,D)) = B | spilling = B | tapOn = C.  [resolve(62,a,56,a)].
0.77/1.06	Derived: waterLevel(A) != B | tapOff != C | -holdsAt(waterLevel(A),D) | holdsAt(waterLevel(f10(C,B,D)),D) | holdsAt(waterLevel(f11(C,B,D)),D) | spilling = B | filling = B.  [resolve(62,a,59,a)].
0.77/1.06	Derived: waterLevel(A) != B | tapOff != C | -holdsAt(waterLevel(A),D) | holdsAt(waterLevel(f10(C,B,D)),D) | holdsAt(waterLevel(f11(C,B,D)),D) | spilling = B | tapOn = C.  [resolve(62,a,60,a)].
0.77/1.06	63 initiates(A,B,C) | overflow != A | spilling != B # label(initiates_all_defn) # label(axiom).  [clausify(16)].
0.77/1.06	Derived: overflow != A | spilling != B | stoppedIn(C,B,plus(C,D)) | -trajectory(B,C,E,D) | -less(n0,D) | -happens(A,C) | holdsAt(E,plus(C,D)).  [resolve(63,a,37,a)].
0.77/1.06	Derived: overflow != A | spilling != B | -happens(A,C) | holdsAt(B,plus(C,n1)).  [resolve(63,a,38,b)].
0.77/1.06	Derived: overflow != A | spilling != B | -happens(A,C) | -releasedAt(B,plus(C,n1)).  [resolve(63,a,39,a)].
0.77/1.06	Derived: overflow != A | spilling != B | -happens(A,C) | -less(D,C) | -less(C,E) | startedIn(D,B,E).  [resolve(63,a,40,d)].
0.77/1.06	64 initiates(A,B,C) | filling != B | tapOn != A # label(initiates_all_defn) # label(axiom).  [clausify(16)].
0.77/1.06	Derived: filling != A | tapOn != B | stoppedIn(C,A,plus(C,D)) | -trajectory(A,C,E,D) | -less(n0,D) | -happens(B,C) | holdsAt(E,plus(C,D)).  [resolve(64,a,37,a)].
0.77/1.06	Derived: filling != A | tapOn != B | -happens(B,C) | holdsAt(A,plus(C,n1)).  [resolve(64,a,38,b)].
0.77/1.06	Derived: filling != A | tapOn != B | -happens(B,C) | -releasedAt(A,plus(C,n1)).  [resolve(64,a,39,a)].
0.77/1.06	Derived: filling != A | tapOn != B | -happens(B,C) | -less(D,C) | -less(C,E) | startedIn(D,A,E).  [resolve(64,a,40,d)].
0.77/1.06	65 terminates(f1(A,B),A,B) | releasedAt(A,plus(B,n1)) | -holdsAt(A,B) | holdsAt(A,plus(B,n1)) # label(keep_holding) # label(axiom).  [clausify(4)].
0.77/1.06	66 -terminates(A,B,C) | -happens(A,C) | -releasedAt(B,plus(C,n1)) # label(happens_not_released) # label(axiom).  [clausify(3)].
0.77/1.06	67 -less(A,B) | -terminates(C,D,A) | -less(E,A) | -happens(C,A) | stoppedIn(E,D,B) # label(stoppedin_defn) # label(axiom).  [clausify(5)].
0.77/1.06	Derived: -less(A,B) | -less(C,A) | -happens(f1(D,A),A) | stoppedIn(C,D,B) | releasedAt(D,plus(A,n1)) | -holdsAt(D,A) | holdsAt(D,plus(A,n1)).  [resolve(67,b,65,a)].
0.77/1.06	68 terminates(f2(A,B,C),B,f3(A,B,C)) | -stoppedIn(A,B,C) # label(stoppedin_defn) # label(axiom).  [clausify(5)].
0.77/1.06	Derived: -stoppedIn(A,B,C) | -happens(f2(A,B,C),f3(A,B,C)) | -releasedAt(B,plus(f3(A,B,C),n1)).  [resolve(68,a,66,a)].
0.77/1.06	Derived: -stoppedIn(A,B,C) | -less(f3(A,B,C),D) | -less(E,f3(A,B,C)) | -happens(f2(A,B,C),f3(A,B,C)) | stoppedIn(E,B,D).  [resolve(68,a,67,b)].
0.77/1.06	69 -terminates(A,B,C) | -happens(A,C) | -holdsAt(B,plus(C,n1)) # label(happens_terminates_not_holds) # label(axiom).  [clausify(9)].
0.77/1.06	Derived: -happens(f2(A,B,C),f3(A,B,C)) | -holdsAt(B,plus(f3(A,B,C),n1)) | -stoppedIn(A,B,C).  [resolve(69,a,68,a)].
0.77/1.06	70 startedIn(A,B,plus(A,C)) | -antitrajectory(B,A,D,C) | -less(n0,C) | -terminates(E,B,A) | -happens(E,A) | holdsAt(D,plus(A,C)) # label(antitrajectory) # label(axiom).  [clausify(12)].
0.77/1.06	Derived: startedIn(A,B,plus(A,C)) | -antitrajectory(B,A,D,C) | -less(n0,C) | -happens(f1(B,A),A) | holdsAt(D,plus(A,C)) | releasedAt(B,plus(A,n1)) | -holdsAt(B,A) | holdsAt(B,plus(A,n1)).  [resolve(70,d,65,a)].
0.77/1.06	Derived: startedIn(f3(A,B,C),B,plus(f3(A,B,C),D)) | -antitrajectory(B,f3(A,B,C),E,D) | -less(n0,D) | -happens(f2(A,B,C),f3(A,B,C)) | holdsAt(E,plus(f3(A,B,C),D)) | -stoppedIn(A,B,C).  [resolve(70,d,68,a)].
0.77/1.06	71 -terminates(A,B,C) | tapOff = A | overflow = A # label(terminates_all_defn) # label(axiom).  [clausify(19)].
0.77/1.06	Derived: tapOff = f1(A,B) | overflow = f1(A,B) | releasedAt(A,plus(B,n1)) | -holdsAt(A,B) | holdsAt(A,plus(B,n1)).  [resolve(71,a,65,a)].
0.77/1.06	Derived: tapOff = f2(A,B,C) | overflow = f2(A,B,C) | -stoppedIn(A,B,C).  [resolve(71,a,68,a)].
0.77/1.06	72 -terminates(A,B,C) | filling = B # label(terminates_all_defn) # label(axiom).  [clausify(19)].
0.77/1.06	Derived: filling = A | releasedAt(A,plus(B,n1)) | -holdsAt(A,B) | holdsAt(A,plus(B,n1)).  [resolve(72,a,65,a)].
0.77/1.06	Derived: filling = A | -stoppedIn(B,A,C).  [resolve(72,a,68,a)].
0.77/1.06	73 terminates(A,B,C) | tapOff != A | filling != B # label(terminates_all_defn) # label(axiom).  [clausify(19)].
0.77/1.06	Derived: tapOff != A | filling != B | -happens(A,C) | -releasedAt(B,plus(C,n1)).  [resolve(73,a,66,a)].
0.77/1.06	Derived: tapOff != A | filling != B | -less(C,D) | -less(E,C) | -happens(A,C) | stoppedIn(E,B,D).  [resolve(73,a,67,b)].
0.77/1.06	Derived: tapOff != A | filling != B | -happens(A,C) | -holdsAt(B,plus(C,n1)).  [resolve(73,a,69,a)].
0.77/1.06	Derived: tapOff != A | filling != B | startedIn(C,B,plus(C,D)) | -antitrajectory(B,C,E,D) | -less(n0,D) | -happens(A,C) | holdsAt(E,plus(C,D)).  [resolve(73,a,70,d)].
0.77/1.06	74 terminates(A,B,C) | filling != B | overflow != A # label(terminates_all_defn) # label(axiom).  [clausify(19)].
0.77/1.06	Derived: filling != A | overflow != B | -happens(B,C) | -releasedAt(A,plus(C,n1)).  [resolve(74,a,66,a)].
0.77/1.06	Derived: filling != A | overflow != B | -less(C,D) | -less(E,C) | -happens(B,C) | stoppedIn(E,A,D).  [resolve(74,a,67,b)].
0.77/1.06	Derived: filling != A | overflow != B | -happens(B,C) | -holdsAt(A,plus(C,n1)).  [resolve(74,a,69,a)].
0.77/1.06	Derived: filling != A | overflow != B | startedIn(C,A,plus(C,D)) | -antitrajectory(A,C,E,D) | -less(n0,D) | -happens(B,C) | holdsAt(E,plus(C,D)).  [resolve(74,a,70,d)].
0.77/1.06	75 -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)) | stoppedIn(B,A,plus(B,C)) | -trajectory(A,B,D,C) | -less(n0,C) | -happens(f4(A,B),B) | holdsAt(D,plus(B,C)).  [resolve(36,b,37,a)].
0.77/1.06	Derived: -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | stoppedIn(B,A,plus(B,C)) | -trajectory(A,B,D,C) | -less(n0,C) | -happens(f4(A,B),B) | holdsAt(D,plus(B,C)) | -less(B,E) | -less(F,B) | -happens(f4(A,B),B) | stoppedIn(F,A,E).  [resolve(75,b,67,b)].
0.77/1.06	Derived: -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | stoppedIn(B,A,plus(B,C)) | -trajectory(A,B,D,C) | -less(n0,C) | -happens(f4(A,B),B) | holdsAt(D,plus(B,C)) | -happens(f4(A,B),B) | -holdsAt(A,plus(B,n1)).  [resolve(75,b,69,a)].
0.77/1.06	Derived: -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | stoppedIn(B,A,plus(B,C)) | -trajectory(A,B,D,C) | -less(n0,C) | -happens(f4(A,B),B) | holdsAt(D,plus(B,C)) | startedIn(B,A,plus(B,E)) | -antitrajectory(A,B,F,E) | -less(n0,E) | -happens(f4(A,B),B) | holdsAt(F,plus(B,E)).  [resolve(75,b,70,d)].
0.77/1.06	Derived: -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | stoppedIn(B,A,plus(B,C)) | -trajectory(A,B,D,C) | -less(n0,C) | -happens(f4(A,B),B) | holdsAt(D,plus(B,C)) | tapOff = f4(A,B) | overflow = f4(A,B).  [resolve(75,b,71,a)].
0.77/1.06	Derived: -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | stoppedIn(B,A,plus(B,C)) | -trajectory(A,B,D,C) | -less(n0,C) | -happens(f4(A,B),B) | holdsAt(D,plus(B,C)) | filling = A.  [resolve(75,b,72,a)].
0.77/1.06	76 -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)) | -happens(f4(A,B),B) | holdsAt(A,plus(B,n1)).  [resolve(36,b,38,b)].
0.77/1.06	Derived: -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -happens(f4(A,B),B) | holdsAt(A,plus(B,n1)) | -less(B,C) | -less(D,B) | -happens(f4(A,B),B) | stoppedIn(D,A,C).  [resolve(76,b,67,b)].
0.77/1.06	Derived: -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -happens(f4(A,B),B) | holdsAt(A,plus(B,n1)) | startedIn(B,A,plus(B,C)) | -antitrajectory(A,B,D,C) | -less(n0,C) | -happens(f4(A,B),B) | holdsAt(D,plus(B,C)).  [resolve(76,b,70,d)].
0.77/1.06	Derived: -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -happens(f4(A,B),B) | holdsAt(A,plus(B,n1)) | tapOff = f4(A,B) | overflow = f4(A,B).  [resolve(76,b,71,a)].
0.77/1.06	Derived: -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -happens(f4(A,B),B) | holdsAt(A,plus(B,n1)) | filling = A.  [resolve(76,b,72,a)].
0.77/1.06	77 -happens(f4(A,B),B) | -less(C,B) | -less(B,D) | startedIn(C,A,D) | -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)).  [resolve(40,d,36,b)].
0.77/1.06	Derived: -happens(f4(A,B),B) | -less(C,B) | -less(B,D) | startedIn(C,A,D) | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -less(B,E) | -less(F,B) | -happens(f4(A,B),B) | stoppedIn(F,A,E).  [resolve(77,f,67,b)].
0.77/1.06	Derived: -happens(f4(A,B),B) | -less(C,B) | -less(B,D) | startedIn(C,A,D) | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -happens(f4(A,B),B) | -holdsAt(A,plus(B,n1)).  [resolve(77,f,69,a)].
0.77/1.06	Derived: -happens(f4(A,B),B) | -less(C,B) | -less(B,D) | startedIn(C,A,D) | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | startedIn(B,A,plus(B,E)) | -antitrajectory(A,B,F,E) | -less(n0,E) | -happens(f4(A,B),B) | holdsAt(F,plus(B,E)).  [resolve(77,f,70,d)].
0.77/1.06	Derived: -happens(f4(A,B),B) | -less(C,B) | -less(B,D) | startedIn(C,A,D) | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | tapOff = f4(A,B) | overflow = f4(A,B).  [resolve(77,f,71,a)].
0.77/1.06	Derived: -happens(f4(A,B),B) | -less(C,B) | -less(B,D) | startedIn(C,A,D) | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | filling = A.  [resolve(77,f,72,a)].
0.77/1.06	78 overflow = f4(A,B) | waterLevel(f11(f4(A,B),A,B)) = A | filling = A | -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)).  [resolve(43,a,36,b)].
0.77/1.06	Derived: overflow = f4(A,B) | waterLevel(f11(f4(A,B),A,B)) = A | filling = A | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -less(B,C) | -less(D,B) | -happens(f4(A,B),B) | stoppedIn(D,A,C).  [resolve(78,e,67,b)].
0.77/1.06	Derived: overflow = f4(A,B) | waterLevel(f11(f4(A,B),A,B)) = A | filling = A | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -happens(f4(A,B),B) | -holdsAt(A,plus(B,n1)).  [resolve(78,e,69,a)].
0.77/1.06	Derived: overflow = f4(A,B) | waterLevel(f11(f4(A,B),A,B)) = A | filling = A | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | startedIn(B,A,plus(B,C)) | -antitrajectory(A,B,D,C) | -less(n0,C) | -happens(f4(A,B),B) | holdsAt(D,plus(B,C)).  [resolve(78,e,70,d)].
0.77/1.06	Derived: overflow = f4(A,B) | waterLevel(f11(f4(A,B),A,B)) = A | filling = A | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | tapOff = f4(A,B) | overflow = f4(A,B).  [resolve(78,e,71,a)].
0.77/1.06	Derived: overflow = f4(A,B) | waterLevel(f11(f4(A,B),A,B)) = A | filling = A | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | filling = A.  [resolve(78,e,72,a)].
0.77/1.06	79 overflow = f4(A,B) | waterLevel(f11(f4(A,B),A,B)) = A | tapOn = f4(A,B) | -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)).  [resolve(44,a,36,b)].
0.77/1.06	Derived: overflow = f4(A,B) | waterLevel(f11(f4(A,B),A,B)) = A | tapOn = f4(A,B) | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -less(B,C) | -less(D,B) | -happens(f4(A,B),B) | stoppedIn(D,A,C).  [resolve(79,e,67,b)].
0.77/1.06	Derived: overflow = f4(A,B) | waterLevel(f11(f4(A,B),A,B)) = A | tapOn = f4(A,B) | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -happens(f4(A,B),B) | -holdsAt(A,plus(B,n1)).  [resolve(79,e,69,a)].
0.77/1.06	Derived: overflow = f4(A,B) | waterLevel(f11(f4(A,B),A,B)) = A | tapOn = f4(A,B) | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | startedIn(B,A,plus(B,C)) | -antitrajectory(A,B,D,C) | -less(n0,C) | -happens(f4(A,B),B) | holdsAt(D,plus(B,C)).  [resolve(79,e,70,d)].
0.77/1.06	Derived: overflow = f4(A,B) | waterLevel(f11(f4(A,B),A,B)) = A | tapOn = f4(A,B) | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | tapOff = f4(A,B) | overflow = f4(A,B).  [resolve(79,e,71,a)].
0.77/1.06	80 overflow = f4(A,B) | tapOff = f4(A,B) | filling = A | -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)).  [resolve(45,a,36,b)].
0.77/1.06	Derived: overflow = f4(A,B) | tapOff = f4(A,B) | filling = A | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -less(B,C) | -less(D,B) | -happens(f4(A,B),B) | stoppedIn(D,A,C).  [resolve(80,e,67,b)].
0.77/1.06	Derived: overflow = f4(A,B) | tapOff = f4(A,B) | filling = A | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -happens(f4(A,B),B) | -holdsAt(A,plus(B,n1)).  [resolve(80,e,69,a)].
0.77/1.07	Derived: overflow = f4(A,B) | tapOff = f4(A,B) | filling = A | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | startedIn(B,A,plus(B,C)) | -antitrajectory(A,B,D,C) | -less(n0,C) | -happens(f4(A,B),B) | holdsAt(D,plus(B,C)).  [resolve(80,e,70,d)].
0.77/1.07	Derived: overflow = f4(A,B) | tapOff = f4(A,B) | filling = A | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | tapOff = f4(A,B) | overflow = f4(A,B).  [resolve(80,e,71,a)].
0.77/1.07	81 overflow = f4(A,B) | tapOff = f4(A,B) | tapOn = f4(A,B) | -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)).  [resolve(46,a,36,b)].
0.77/1.07	Derived: overflow = f4(A,B) | tapOff = f4(A,B) | tapOn = f4(A,B) | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -less(B,C) | -less(D,B) | -happens(f4(A,B),B) | stoppedIn(D,A,C).  [resolve(81,e,67,b)].
0.77/1.07	Derived: overflow = f4(A,B) | tapOff = f4(A,B) | tapOn = f4(A,B) | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -happens(f4(A,B),B) | -holdsAt(A,plus(B,n1)).  [resolve(81,e,69,a)].
0.77/1.07	Derived: overflow = f4(A,B) | tapOff = f4(A,B) | tapOn = f4(A,B) | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | startedIn(B,A,plus(B,C)) | -antitrajectory(A,B,D,C) | -less(n0,C) | -happens(f4(A,B),B) | holdsAt(D,plus(B,C)).  [resolve(81,e,70,d)].
0.77/1.07	Derived: overflow = f4(A,B) | tapOff = f4(A,B) | tapOn = f4(A,B) | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | tapOff = f4(A,B) | overflow = f4(A,B).  [resolve(81,e,71,a)].
0.77/1.07	82 overflow = f4(A,B) | holdsAt(waterLevel(f11(f4(A,B),A,B)),B) | filling = A | -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)).  [resolve(47,a,36,b)].
0.77/1.07	Derived: overflow = f4(A,B) | holdsAt(waterLevel(f11(f4(A,B),A,B)),B) | filling = A | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -less(B,C) | -less(D,B) | -happens(f4(A,B),B) | stoppedIn(D,A,C).  [resolve(82,e,67,b)].
0.77/1.07	Derived: overflow = f4(A,B) | holdsAt(waterLevel(f11(f4(A,B),A,B)),B) | filling = A | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -happens(f4(A,B),B) | -holdsAt(A,plus(B,n1)).  [resolve(82,e,69,a)].
0.77/1.07	Derived: overflow = f4(A,B) | holdsAt(waterLevel(f11(f4(A,B),A,B)),B) | filling = A | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | startedIn(B,A,plus(B,C)) | -antitrajectory(A,B,D,C) | -less(n0,C) | -happens(f4(A,B),B) | holdsAt(D,plus(B,C)).  [resolve(82,e,70,d)].
0.77/1.07	Derived: overflow = f4(A,B) | holdsAt(waterLevel(f11(f4(A,B),A,B)),B) | filling = A | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | filling = A.  [resolve(82,e,72,a)].
0.77/1.07	83 overflow = f4(A,B) | holdsAt(waterLevel(f11(f4(A,B),A,B)),B) | tapOn = f4(A,B) | -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)).  [resolve(48,a,36,b)].
0.77/1.07	Derived: overflow = f4(A,B) | holdsAt(waterLevel(f11(f4(A,B),A,B)),B) | tapOn = f4(A,B) | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -less(B,C) | -less(D,B) | -happens(f4(A,B),B) | stoppedIn(D,A,C).  [resolve(83,e,67,b)].
0.77/1.07	Derived: overflow = f4(A,B) | holdsAt(waterLevel(f11(f4(A,B),A,B)),B) | tapOn = f4(A,B) | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -happens(f4(A,B),B) | -holdsAt(A,plus(B,n1)).  [resolve(83,e,69,a)].
0.77/1.07	Derived: overflow = f4(A,B) | holdsAt(waterLevel(f11(f4(A,B),A,B)),B) | tapOn = f4(A,B) | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | startedIn(B,A,plus(B,C)) | -antitrajectory(A,B,D,C) | -less(n0,C) | -happens(f4(A,B),B) | holdsAt(D,plus(B,C)).  [resolve(83,e,70,d)].
0.77/1.07	84 waterLevel(f10(f4(A,B),A,B)) = A | waterLevel(f11(f4(A,B),A,B)) = A | spilling = A | filling = A | -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)).  [resolve(49,a,36,b)].
0.77/1.07	Derived: waterLevel(f10(f4(A,B),A,B)) = A | waterLevel(f11(f4(A,B),A,B)) = A | spilling = A | filling = A | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -less(B,C) | -less(D,B) | -happens(f4(A,B),B) | stoppedIn(D,A,C).  [resolve(84,f,67,b)].
0.77/1.07	Derived: waterLevel(f10(f4(A,B),A,B)) = A | waterLevel(f11(f4(A,B),A,B)) = A | spilling = A | filling = A | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -happens(f4(A,B),B) | -holdsAt(A,plus(B,n1)).  [resolve(84,f,69,a)].
0.77/1.07	Derived: waterLevel(f10(f4(A,B),A,B)) = A | waterLevel(f11(f4(A,B),A,B)) = A | spilling = A | filling = A | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | startedIn(B,A,plus(B,C)) | -antitrajectory(A,B,D,C) | -less(n0,C) | -happens(f4(A,B),B) | holdsAt(D,plus(B,C)).  [resolve(84,f,70,d)].
0.77/1.07	Derived: waterLevel(f10(f4(A,B),A,B)) = A | waterLevel(f11(f4(A,B),A,B)) = A | spilling = A | filling = A | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | filling = A.  [resolve(84,f,72,a)].
0.77/1.07	85 waterLevel(f10(f4(A,B),A,B)) = A | waterLevel(f11(f4(A,B),A,B)) = A | spilling = A | tapOn = f4(A,B) | -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)).  [resolve(50,a,36,b)].
0.77/1.07	Derived: waterLevel(f10(f4(A,B),A,B)) = A | waterLevel(f11(f4(A,B),A,B)) = A | spilling = A | tapOn = f4(A,B) | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -less(B,C) | -less(D,B) | -happens(f4(A,B),B) | stoppedIn(D,A,C).  [resolve(85,f,67,b)].
0.77/1.07	Derived: waterLevel(f10(f4(A,B),A,B)) = A | waterLevel(f11(f4(A,B),A,B)) = A | spilling = A | tapOn = f4(A,B) | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -happens(f4(A,B),B) | -holdsAt(A,plus(B,n1)).  [resolve(85,f,69,a)].
0.77/1.07	Derived: waterLevel(f10(f4(A,B),A,B)) = A | waterLevel(f11(f4(A,B),A,B)) = A | spilling = A | tapOn = f4(A,B) | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | startedIn(B,A,plus(B,C)) | -antitrajectory(A,B,D,C) | -less(n0,C) | -happens(f4(A,B),B) | holdsAt(D,plus(B,C)).  [resolve(85,f,70,d)].
0.77/1.07	86 waterLevel(f10(f4(A,B),A,B)) = A | tapOff = f4(A,B) | spilling = A | filling = A | -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)).  [resolve(51,a,36,b)].
0.77/1.07	Derived: waterLevel(f10(f4(A,B),A,B)) = A | tapOff = f4(A,B) | spilling = A | filling = A | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -less(B,C) | -less(D,B) | -happens(f4(A,B),B) | stoppedIn(D,A,C).  [resolve(86,f,67,b)].
0.77/1.07	Derived: waterLevel(f10(f4(A,B),A,B)) = A | tapOff = f4(A,B) | spilling = A | filling = A | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -happens(f4(A,B),B) | -holdsAt(A,plus(B,n1)).  [resolve(86,f,69,a)].
0.77/1.07	Derived: waterLevel(f10(f4(A,B),A,B)) = A | tapOff = f4(A,B) | spilling = A | filling = A | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | startedIn(B,A,plus(B,C)) | -antitrajectory(A,B,D,C) | -less(n0,C) | -happens(f4(A,B),B) | holdsAt(D,plus(B,C)).  [resolve(86,f,70,d)].
0.77/1.07	Derived: waterLevel(f10(f4(A,B),A,B)) = A | tapOff = f4(A,B) | spilling = A | filling = A | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | filling = A.  [resolve(86,f,72,a)].
0.77/1.07	87 waterLevel(f10(f4(A,B),A,B)) = A | tapOff = f4(A,B) | spilling = A | tapOn = f4(A,B) | -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)).  [resolve(52,a,36,b)].
0.77/1.07	Derived: waterLevel(f10(f4(A,B),A,B)) = A | tapOff = f4(A,B) | spilling = A | tapOn = f4(A,B) | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -less(B,C) | -less(D,B) | -happens(f4(A,B),B) | stoppedIn(D,A,C).  [resolve(87,f,67,b)].
0.77/1.07	Derived: waterLevel(f10(f4(A,B),A,B)) = A | tapOff = f4(A,B) | spilling = A | tapOn = f4(A,B) | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -happens(f4(A,B),B) | -holdsAt(A,plus(B,n1)).  [resolve(87,f,69,a)].
0.77/1.07	Derived: waterLevel(f10(f4(A,B),A,B)) = A | tapOff = f4(A,B) | spilling = A | tapOn = f4(A,B) | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | startedIn(B,A,plus(B,C)) | -antitrajectory(A,B,D,C) | -less(n0,C) | -happens(f4(A,B),B) | holdsAt(D,plus(B,C)).  [resolve(87,f,70,d)].
0.77/1.07	88 waterLevel(f10(f4(A,B),A,B)) = A | holdsAt(waterLevel(f11(f4(A,B),A,B)),B) | spilling = A | filling = A | -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)).  [resolve(53,a,36,b)].
0.77/1.07	Derived: waterLevel(f10(f4(A,B),A,B)) = A | holdsAt(waterLevel(f11(f4(A,B),A,B)),B) | spilling = A | filling = A | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -less(B,C) | -less(D,B) | -happens(f4(A,B),B) | stoppedIn(D,A,C).  [resolve(88,f,67,b)].
0.77/1.07	Derived: waterLevel(f10(f4(A,B),A,B)) = A | holdsAt(waterLevel(f11(f4(A,B),A,B)),B) | spilling = A | filling = A | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -happens(f4(A,B),B) | -holdsAt(A,plus(B,n1)).  [resolve(88,f,69,a)].
0.77/1.07	Derived: waterLevel(f10(f4(A,B),A,B)) = A | holdsAt(waterLevel(f11(f4(A,B),A,B)),B) | spilling = A | filling = A | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | startedIn(B,A,plus(B,C)) | -antitrajectory(A,B,D,C) | -less(n0,C) | -happens(f4(A,B),B) | holdsAt(D,plus(B,C)).  [resolve(88,f,70,d)].
0.77/1.07	Derived: waterLevel(f10(f4(A,B),A,B)) = A | holdsAt(waterLevel(f11(f4(A,B),A,B)),B) | spilling = A | filling = A | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | filling = A.  [resolve(88,f,72,a)].
0.77/1.07	89 waterLevel(f10(f4(A,B),A,B)) = A | holdsAt(waterLevel(f11(f4(A,B),A,B)),B) | spilling = A | tapOn = f4(A,B) | -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)).  [resolve(54,a,36,b)].
0.77/1.07	Derived: waterLevel(f10(f4(A,B),A,B)) = A | holdsAt(waterLevel(f11(f4(A,B),A,B)),B) | spilling = A | tapOn = f4(A,B) | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -less(B,C) | -less(D,B) | -happens(f4(A,B),B) | stoppedIn(D,A,C).  [resolve(89,f,67,b)].
0.77/1.07	Derived: waterLevel(f10(f4(A,B),A,B)) = A | holdsAt(waterLevel(f11(f4(A,B),A,B)),B) | spilling = A | tapOn = f4(A,B) | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -happens(f4(A,B),B) | -holdsAt(A,plus(B,n1)).  [resolve(89,f,69,a)].
0.77/1.07	Derived: waterLevel(f10(f4(A,B),A,B)) = A | holdsAt(waterLevel(f11(f4(A,B),A,B)),B) | spilling = A | tapOn = f4(A,B) | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | startedIn(B,A,plus(B,C)) | -antitrajectory(A,B,D,C) | -less(n0,C) | -happens(f4(A,B),B) | holdsAt(D,plus(B,C)).  [resolve(89,f,70,d)].
0.77/1.07	90 holdsAt(waterLevel(f10(f4(A,B),A,B)),B) | waterLevel(f11(f4(A,B),A,B)) = A | spilling = A | filling = A | -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)).  [resolve(55,a,36,b)].
0.77/1.07	Derived: holdsAt(waterLevel(f10(f4(A,B),A,B)),B) | waterLevel(f11(f4(A,B),A,B)) = A | spilling = A | filling = A | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -less(B,C) | -less(D,B) | -happens(f4(A,B),B) | stoppedIn(D,A,C).  [resolve(90,f,67,b)].
0.77/1.07	Derived: holdsAt(waterLevel(f10(f4(A,B),A,B)),B) | waterLevel(f11(f4(A,B),A,B)) = A | spilling = A | filling = A | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -happens(f4(A,B),B) | -holdsAt(A,plus(B,n1)).  [resolve(90,f,69,a)].
0.77/1.07	Derived: holdsAt(waterLevel(f10(f4(A,B),A,B)),B) | waterLevel(f11(f4(A,B),A,B)) = A | spilling = A | filling = A | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | startedIn(B,A,plus(B,C)) | -antitrajectory(A,B,D,C) | -less(n0,C) | -happens(f4(A,B),B) | holdsAt(D,plus(B,C)).  [resolve(90,f,70,d)].
0.77/1.07	Derived: holdsAt(waterLevel(f10(f4(A,B),A,B)),B) | waterLevel(f11(f4(A,B),A,B)) = A | spilling = A | filling = A | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | filling = A.  [resolve(90,f,72,a)].
0.77/1.07	91 holdsAt(waterLevel(f10(f4(A,B),A,B)),B) | waterLevel(f11(f4(A,B),A,B)) = A | spilling = A | tapOn = f4(A,B) | -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)).  [resolve(56,a,36,b)].
0.77/1.07	Derived: holdsAt(waterLevel(f10(f4(A,B),A,B)),B) | waterLevel(f11(f4(A,B),A,B)) = A | spilling = A | tapOn = f4(A,B) | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -less(B,C) | -less(D,B) | -happens(f4(A,B),B) | stoppedIn(D,A,C).  [resolve(91,f,67,b)].
0.77/1.07	Derived: holdsAt(waterLevel(f10(f4(A,B),A,B)),B) | waterLevel(f11(f4(A,B),A,B)) = A | spilling = A | tapOn = f4(A,B) | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -happens(f4(A,B),B) | -holdsAt(A,plus(B,n1)).  [resolve(91,f,69,a)].
0.77/1.07	Derived: holdsAt(waterLevel(f10(f4(A,B),A,B)),B) | waterLevel(f11(f4(A,B),A,B)) = A | spilling = A | tapOn = f4(A,B) | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | startedIn(B,A,plus(B,C)) | -antitrajectory(A,B,D,C) | -less(n0,C) | -happens(f4(A,B),B) | holdsAt(D,plus(B,C)).  [resolve(91,f,70,d)].
0.77/1.07	92 holdsAt(waterLevel(f10(f4(A,B),A,B)),B) | tapOff = f4(A,B) | spilling = A | filling = A | -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)).  [resolve(57,a,36,b)].
0.77/1.07	Derived: holdsAt(waterLevel(f10(f4(A,B),A,B)),B) | tapOff = f4(A,B) | spilling = A | filling = A | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -less(B,C) | -less(D,B) | -happens(f4(A,B),B) | stoppedIn(D,A,C).  [resolve(92,f,67,b)].
0.77/1.07	Derived: holdsAt(waterLevel(f10(f4(A,B),A,B)),B) | tapOff = f4(A,B) | spilling = A | filling = A | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -happens(f4(A,B),B) | -holdsAt(A,plus(B,n1)).  [resolve(92,f,69,a)].
0.80/1.08	Derived: holdsAt(waterLevel(f10(f4(A,B),A,B)),B) | tapOff = f4(A,B) | spilling = A | filling = A | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | startedIn(B,A,plus(B,C)) | -antitrajectory(A,B,D,C) | -less(n0,C) | -happens(f4(A,B),B) | holdsAt(D,plus(B,C)).  [resolve(92,f,70,d)].
0.80/1.08	Derived: holdsAt(waterLevel(f10(f4(A,B),A,B)),B) | tapOff = f4(A,B) | spilling = A | filling = A | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | filling = A.  [resolve(92,f,72,a)].
0.80/1.08	93 holdsAt(waterLevel(f10(f4(A,B),A,B)),B) | tapOff = f4(A,B) | spilling = A | tapOn = f4(A,B) | -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)).  [resolve(58,a,36,b)].
0.80/1.08	Derived: holdsAt(waterLevel(f10(f4(A,B),A,B)),B) | tapOff = f4(A,B) | spilling = A | tapOn = f4(A,B) | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -less(B,C) | -less(D,B) | -happens(f4(A,B),B) | stoppedIn(D,A,C).  [resolve(93,f,67,b)].
0.80/1.08	Derived: holdsAt(waterLevel(f10(f4(A,B),A,B)),B) | tapOff = f4(A,B) | spilling = A | tapOn = f4(A,B) | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -happens(f4(A,B),B) | -holdsAt(A,plus(B,n1)).  [resolve(93,f,69,a)].
0.80/1.08	Derived: holdsAt(waterLevel(f10(f4(A,B),A,B)),B) | tapOff = f4(A,B) | spilling = A | tapOn = f4(A,B) | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | startedIn(B,A,plus(B,C)) | -antitrajectory(A,B,D,C) | -less(n0,C) | -happens(f4(A,B),B) | holdsAt(D,plus(B,C)).  [resolve(93,f,70,d)].
0.80/1.08	94 holdsAt(waterLevel(f10(f4(A,B),A,B)),B) | holdsAt(waterLevel(f11(f4(A,B),A,B)),B) | spilling = A | filling = A | -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)).  [resolve(59,a,36,b)].
0.80/1.08	Derived: holdsAt(waterLevel(f10(f4(A,B),A,B)),B) | holdsAt(waterLevel(f11(f4(A,B),A,B)),B) | spilling = A | filling = A | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -less(B,C) | -less(D,B) | -happens(f4(A,B),B) | stoppedIn(D,A,C).  [resolve(94,f,67,b)].
0.80/1.08	Derived: holdsAt(waterLevel(f10(f4(A,B),A,B)),B) | holdsAt(waterLevel(f11(f4(A,B),A,B)),B) | spilling = A | filling = A | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -happens(f4(A,B),B) | -holdsAt(A,plus(B,n1)).  [resolve(94,f,69,a)].
0.80/1.08	Derived: holdsAt(waterLevel(f10(f4(A,B),A,B)),B) | holdsAt(waterLevel(f11(f4(A,B),A,B)),B) | spilling = A | filling = A | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | startedIn(B,A,plus(B,C)) | -antitrajectory(A,B,D,C) | -less(n0,C) | -happens(f4(A,B),B) | holdsAt(D,plus(B,C)).  [resolve(94,f,70,d)].
0.80/1.08	Derived: holdsAt(waterLevel(f10(f4(A,B),A,B)),B) | holdsAt(waterLevel(f11(f4(A,B),A,B)),B) | spilling = A | filling = A | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | filling = A.  [resolve(94,f,72,a)].
0.80/1.08	95 holdsAt(waterLevel(f10(f4(A,B),A,B)),B) | holdsAt(waterLevel(f11(f4(A,B),A,B)),B) | spilling = A | tapOn = f4(A,B) | -releasedAt(A,B) | terminates(f4(A,B),A,B) | releasedAt(A,plus(B,n1)).  [resolve(60,a,36,b)].
0.80/1.08	Derived: holdsAt(waterLevel(f10(f4(A,B),A,B)),B) | holdsAt(waterLevel(f11(f4(A,B),A,B)),B) | spilling = A | tapOn = f4(A,B) | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -less(B,C) | -less(D,B) | -happens(f4(A,B),B) | stoppedIn(D,A,C).  [resolve(95,f,67,b)].
0.80/1.08	Derived: holdsAt(waterLevel(f10(f4(A,B),A,B)),B) | holdsAt(waterLevel(f11(f4(A,B),A,B)),B) | spilling = A | tapOn = f4(A,B) | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | -happens(f4(A,B),B) | -holdsAt(A,plus(B,n1)).  [resolve(95,f,69,a)].
0.80/1.08	Derived: holdsAt(waterLevel(f10(f4(A,B),A,B)),B) | holdsAt(waterLevel(f11(f4(A,B),A,B)),B) | spilling = A | tapOn = f4(A,B) | -releasedAt(A,B) | releasedAt(A,plus(B,n1)) | startedIn(B,A,plus(B,C)) | -antitrajectory(A,B,D,C) | -less(n0,C) | -happens(f4(A,B),B) | holdsAt(D,plus(B,C)).  [resolve(95,f,70,d)].
0.80/1.08	96 releasedAt(A,B) | releases(f5(A,B),A,B) | -releasedAt(A,plus(B,n1)) # label(keep_not_released) # label(axiom).  [clausify(8)].
0.80/1.08	97 -releases(A,B,C) | -happens(A,C) | releasedAt(B,plus(C,n1)) # label(happens_releases) # label(axiom).  [clausify(7)].
0.80/1.08	98 waterLevel(A) != B | tapOn != C | releases(C,B,D) # label(releases_all_defn) # label(axiom).  [clausify(13)].
0.80/1.08	Derived: waterLevel(A) != B | tapOn != C | -happens(C,D) | releasedAt(B,plus(D,n1)).  [resolve(98,c,97,a)].
2.78/3.11	99 waterLevel(f9(A,B,C)) = B | -releases(A,B,C) # label(releases_all_defn) # label(axiom).  [clausify(13)].
2.78/3.11	Derived: waterLevel(f9(f5(A,B),A,B)) = A | releasedAt(A,B) | -releasedAt(A,plus(B,n1)).  [resolve(99,b,96,b)].
2.78/3.11	Derived: waterLevel(f9(A,B,C)) = B | waterLevel(D) != B | tapOn != A.  [resolve(99,b,98,c)].
2.78/3.11	100 tapOn = A | -releases(A,B,C) # label(releases_all_defn) # label(axiom).  [clausify(13)].
2.78/3.11	Derived: tapOn = f5(A,B) | releasedAt(A,B) | -releasedAt(A,plus(B,n1)).  [resolve(100,b,96,b)].
2.78/3.11	
2.78/3.11	============================== end predicate elimination =============
2.78/3.11	
2.78/3.11	Auto_denials:  (non-Horn, no changes).
2.78/3.11	
2.78/3.11	Term ordering decisions:
2.78/3.11	
2.78/3.11	% Assigning unary symbol waterLevel kb_weight 0 and highest precedence (38).
2.78/3.11	Function symbol KB weights:  n1=1. filling=1. spilling=1. overflow=1. tapOn=1. tapOff=1. n0=1. n3=1. n2=1. n4=1. n5=1. n6=1. n7=1. n8=1. n9=1. plus=1. f1=1. f4=1. f5=1. f8=1. f2=1. f3=1. f6=1. f7=1. f9=1. f10=1. f11=1. waterLevel=0.
2.78/3.11	
2.78/3.11	============================== end of process initial clauses ========
2.78/3.11	
2.78/3.11	============================== CLAUSES FOR SEARCH ====================
2.78/3.11	
2.78/3.11	============================== end of clauses for search =============
2.78/3.11	
2.78/3.11	============================== SEARCH ================================
2.78/3.11	
2.78/3.11	% Starting search at 0.09 seconds.
2.78/3.11	
2.78/3.11	============================== PROOF =================================
2.78/3.11	% SZS status Theorem
2.78/3.11	% SZS output start Refutation
2.78/3.11	
2.78/3.11	% Proof 1 at 1.97 (+ 0.03) seconds.
2.78/3.11	% Length of proof is 137.
2.78/3.11	% Level of proof is 19.
2.78/3.11	% Maximum clause weight is 28.000.
2.78/3.11	% Given clauses 1812.
2.78/3.11	
2.78/3.11	1 (all Event all Time all Fluent all Fluent2 all Offset (initiates(Event,Fluent,Time) & -stoppedIn(Time,Fluent,plus(Time,Offset)) & trajectory(Fluent,Time,Fluent2,Offset) & less(n0,Offset) & happens(Event,Time) -> holdsAt(Fluent2,plus(Time,Offset)))) # label(change_holding) # label(axiom) # label(non_clause).  [assumption].
2.78/3.11	2 (all Event all Time all Fluent (happens(Event,Time) & initiates(Event,Fluent,Time) -> holdsAt(Fluent,plus(Time,n1)))) # label(happens_holds) # label(axiom) # label(non_clause).  [assumption].
2.78/3.11	3 (all Event all Time all Fluent ((initiates(Event,Fluent,Time) | terminates(Event,Fluent,Time)) & happens(Event,Time) -> -releasedAt(Fluent,plus(Time,n1)))) # label(happens_not_released) # label(axiom) # label(non_clause).  [assumption].
2.78/3.11	4 (all Fluent all Time (-(exists Event (terminates(Event,Fluent,Time) & happens(Event,Time))) & -releasedAt(Fluent,plus(Time,n1)) & holdsAt(Fluent,Time) -> holdsAt(Fluent,plus(Time,n1)))) # label(keep_holding) # label(axiom) # label(non_clause).  [assumption].
2.78/3.11	5 (all Time1 all Fluent all Time2 ((exists Event exists Time (less(Time,Time2) & terminates(Event,Fluent,Time) & less(Time1,Time) & happens(Event,Time))) <-> stoppedIn(Time1,Fluent,Time2))) # label(stoppedin_defn) # label(axiom) # label(non_clause).  [assumption].
2.78/3.11	8 (all Fluent all Time (-releasedAt(Fluent,Time) & -(exists Event (releases(Event,Fluent,Time) & happens(Event,Time))) -> -releasedAt(Fluent,plus(Time,n1)))) # label(keep_not_released) # label(axiom) # label(non_clause).  [assumption].
2.78/3.11	9 (all Event all Time all Fluent (terminates(Event,Fluent,Time) & happens(Event,Time) -> -holdsAt(Fluent,plus(Time,n1)))) # label(happens_terminates_not_holds) # label(axiom) # label(non_clause).  [assumption].
2.78/3.11	13 (all Event all Fluent all Time ((exists Height (waterLevel(Height) = Fluent & tapOn = Event)) <-> releases(Event,Fluent,Time))) # label(releases_all_defn) # label(axiom) # label(non_clause).  [assumption].
2.78/3.11	14 (all Height1 all Time all Height2 all Offset (holdsAt(waterLevel(Height1),Time) & Height2 = plus(Height1,Offset) -> trajectory(filling,Time,waterLevel(Height2),Offset))) # label(change_of_waterLevel) # label(axiom) # label(non_clause).  [assumption].
2.78/3.11	15 (all Time all Height1 all Height2 (holdsAt(waterLevel(Height1),Time) & holdsAt(waterLevel(Height2),Time) -> Height2 = Height1)) # label(same_waterLevel) # label(axiom) # label(non_clause).  [assumption].
2.78/3.11	16 (all Event all Fluent all Time (initiates(Event,Fluent,Time) <-> (exists Height (Event = overflow & waterLevel(Height) = Fluent & holdsAt(waterLevel(Height),Time))) | (exists Height (Fluent = waterLevel(Height) & Event = tapOff & holdsAt(waterLevel(Height),Time))) | overflow = Event & Fluent = spilling | Fluent = filling & Event = tapOn)) # label(initiates_all_defn) # label(axiom) # label(non_clause).  [assumption].
2.78/3.11	17 (all Event all Time (overflow = Event & holdsAt(filling,Time) & holdsAt(waterLevel(n3),Time) | Event = tapOn & n0 = Time <-> happens(Event,Time))) # label(happens_all_defn) # label(axiom) # label(non_clause).  [assumption].
2.78/3.11	21 (all X filling != waterLevel(X)) # label(filling_not_waterLevel) # label(axiom) # label(non_clause).  [assumption].
2.78/3.11	24 (all X all Y plus(X,Y) = plus(Y,X)) # label(symmetry_of_plus) # label(axiom) # label(non_clause).  [assumption].
2.78/3.11	25 (all X (less_or_equal(X,n0) <-> less(X,n1))) # label(less1) # label(axiom) # label(non_clause).  [assumption].
2.78/3.11	28 (all X all Y (Y != X & -less(Y,X) <-> less(X,Y))) # label(less_property) # label(axiom) # label(non_clause).  [assumption].
2.78/3.11	30 (all X (less_or_equal(X,n1) <-> less(X,n2))) # label(less2) # label(axiom) # label(non_clause).  [assumption].
2.78/3.11	31 (all X (less(X,n4) <-> less_or_equal(X,n3))) # label(less4) # label(axiom) # label(non_clause).  [assumption].
2.78/3.11	32 -(exists X less(X,n0)) # label(less0) # label(axiom) # label(non_clause).  [assumption].
2.78/3.11	33 (all X (less_or_equal(X,n2) <-> less(X,n3))) # label(less3) # label(axiom) # label(non_clause).  [assumption].
2.78/3.11	35 (all X all Y (less_or_equal(X,Y) <-> less(X,Y) | X = Y)) # label(less_or_equal) # label(axiom) # label(non_clause).  [assumption].
2.78/3.11	37 -initiates(A,B,C) | stoppedIn(C,B,plus(C,D)) | -trajectory(B,C,E,D) | -less(n0,D) | -happens(A,C) | holdsAt(E,plus(C,D)) # label(change_holding) # label(axiom).  [clausify(1)].
2.78/3.11	38 -happens(A,B) | -initiates(A,C,B) | holdsAt(C,plus(B,n1)) # label(happens_holds) # label(axiom).  [clausify(2)].
2.78/3.11	39 -initiates(A,B,C) | -happens(A,C) | -releasedAt(B,plus(C,n1)) # label(happens_not_released) # label(axiom).  [clausify(3)].
2.78/3.11	64 initiates(A,B,C) | filling != B | tapOn != A # label(initiates_all_defn) # label(axiom).  [clausify(16)].
2.78/3.11	68 terminates(f2(A,B,C),B,f3(A,B,C)) | -stoppedIn(A,B,C) # label(stoppedin_defn) # label(axiom).  [clausify(5)].
2.78/3.11	69 -terminates(A,B,C) | -happens(A,C) | -holdsAt(B,plus(C,n1)) # label(happens_terminates_not_holds) # label(axiom).  [clausify(9)].
2.78/3.11	96 releasedAt(A,B) | releases(f5(A,B),A,B) | -releasedAt(A,plus(B,n1)) # label(keep_not_released) # label(axiom).  [clausify(8)].
2.78/3.11	99 waterLevel(f9(A,B,C)) = B | -releases(A,B,C) # label(releases_all_defn) # label(axiom).  [clausify(13)].
2.78/3.11	101 happens(f1(A,B),B) | releasedAt(A,plus(B,n1)) | -holdsAt(A,B) | holdsAt(A,plus(B,n1)) # label(keep_holding) # label(axiom).  [clausify(4)].
2.78/3.11	102 less(f3(A,B,C),C) | -stoppedIn(A,B,C) # label(stoppedin_defn) # label(axiom).  [clausify(5)].
2.78/3.11	103 less(A,f3(A,B,C)) | -stoppedIn(A,B,C) # label(stoppedin_defn) # label(axiom).  [clausify(5)].
2.78/3.11	104 happens(f2(A,B,C),f3(A,B,C)) | -stoppedIn(A,B,C) # label(stoppedin_defn) # label(axiom).  [clausify(5)].
2.78/3.11	111 -holdsAt(waterLevel(A),B) | plus(A,C) != D | trajectory(filling,B,waterLevel(D),C) # label(change_of_waterLevel) # label(axiom).  [clausify(14)].
2.78/3.11	112 -holdsAt(waterLevel(A),B) | -holdsAt(waterLevel(C),B) | C = A # label(same_waterLevel) # label(axiom).  [clausify(15)].
2.78/3.11	114 tapOn != A | n0 != B | happens(A,B) # label(happens_all_defn) # label(axiom).  [clausify(17)].
2.78/3.11	120 holdsAt(waterLevel(n3),A) | n0 = A | -happens(B,A) # label(happens_all_defn) # label(axiom).  [clausify(17)].
2.78/3.11	128 waterLevel(A) != filling # label(filling_not_waterLevel) # label(axiom).  [clausify(21)].
2.78/3.11	135 plus(n0,n1) = n1 # label(plus0_1) # label(axiom).  [assumption].
2.78/3.11	138 plus(A,B) = plus(B,A) # label(symmetry_of_plus) # label(axiom).  [clausify(24)].
2.78/3.11	139 holdsAt(waterLevel(n0),n0) # label(waterLevel_0) # label(hypothesis).  [assumption].
2.78/3.11	140 n2 = plus(n1,n1) # label(plus1_1) # label(axiom).  [assumption].
2.78/3.11	141 plus(n1,n1) = n2.  [copy(140),flip(a)].
2.78/3.11	143 -less_or_equal(A,n0) | less(A,n1) # label(less1) # label(axiom).  [clausify(25)].
2.78/3.11	144 less_or_equal(A,n0) | -less(A,n1) # label(less1) # label(axiom).  [clausify(25)].
2.78/3.11	146 n0 = plus(n0,n0) # label(plus0_0) # label(axiom).  [assumption].
2.78/3.11	147 plus(n0,n0) = n0.  [copy(146),flip(a)].
2.78/3.11	150 A = B | less(A,B) | less(B,A) # label(less_property) # label(axiom).  [clausify(28)].
2.78/3.11	151 A != B | -less(B,A) # label(less_property) # label(axiom).  [clausify(28)].
2.78/3.11	152 -less(A,B) | -less(B,A) # label(less_property) # label(axiom).  [clausify(28)].
2.78/3.11	156 -less_or_equal(A,n1) | less(A,n2) # label(less2) # label(axiom).  [clausify(30)].
2.78/3.11	157 less_or_equal(A,n1) | -less(A,n2) # label(less2) # label(axiom).  [clausify(30)].
2.78/3.11	158 -less(A,n4) | less_or_equal(A,n3) # label(less4) # label(axiom).  [clausify(31)].
2.78/3.11	159 less(A,n4) | -less_or_equal(A,n3) # label(less4) # label(axiom).  [clausify(31)].
2.78/3.11	160 -less(A,n0) # label(less0) # label(axiom).  [clausify(32)].
2.78/3.11	163 -less_or_equal(A,n2) | less(A,n3) # label(less3) # label(axiom).  [clausify(33)].
2.78/3.11	164 less_or_equal(A,n2) | -less(A,n3) # label(less3) # label(axiom).  [clausify(33)].
2.78/3.11	166 n2 = plus(n0,n2) # label(plus0_2) # label(axiom).  [assumption].
2.78/3.11	167 plus(n0,n2) = n2.  [copy(166),flip(a)].
2.78/3.11	177 -less_or_equal(A,B) | less(A,B) | B = A # label(less_or_equal) # label(axiom).  [clausify(35)].
2.78/3.11	178 less_or_equal(A,B) | -less(A,B) # label(less_or_equal) # label(axiom).  [clausify(35)].
2.78/3.11	179 less_or_equal(A,B) | B != A # label(less_or_equal) # label(axiom).  [clausify(35)].
2.78/3.11	180 -holdsAt(waterLevel(n2),n2) # label(waterLevel_2) # label(negated_conjecture).  [assumption].
2.78/3.11	290 filling != A | tapOn != B | stoppedIn(C,A,plus(C,D)) | -trajectory(A,C,E,D) | -less(n0,D) | -happens(B,C) | holdsAt(E,plus(C,D)).  [resolve(64,a,37,a)].
2.78/3.11	291 filling != A | tapOn != B | -happens(B,C) | holdsAt(A,plus(C,n1)).  [resolve(64,a,38,b)].
2.78/3.11	292 filling != A | tapOn != B | -happens(B,C) | -releasedAt(A,plus(C,n1)).  [resolve(64,a,39,a)].
2.78/3.11	298 -happens(f2(A,B,C),f3(A,B,C)) | -holdsAt(B,plus(f3(A,B,C),n1)) | -stoppedIn(A,B,C).  [resolve(69,a,68,a)].
2.78/3.11	299 -happens(f2(A,B,C),f3(A,B,C)) | -holdsAt(B,plus(n1,f3(A,B,C))) | -stoppedIn(A,B,C).  [copy(298),rewrite([138(6)])].
2.78/3.11	463 waterLevel(f9(f5(A,B),A,B)) = A | releasedAt(A,B) | -releasedAt(A,plus(B,n1)).  [resolve(99,b,96,b)].
2.78/3.11	467 plus(n1,n0) = n1.  [back_rewrite(135),rewrite([138(3)])].
2.78/3.11	478 n0 != A | happens(tapOn,A).  [xx_res(114,a)].
2.78/3.11	481 plus(A,n0) != B | trajectory(filling,n0,waterLevel(B),A).  [resolve(139,a,111,a),rewrite([138(2)])].
2.78/3.11	486 n1 = A | less(n1,A) | less_or_equal(A,n0).  [resolve(150,b,144,b),flip(a)].
2.78/3.11	491 less_or_equal(A,n1) | n2 = A | less(n2,A).  [resolve(157,b,150,c)].
2.78/3.11	492 less_or_equal(A,n3) | n4 = A | less(n4,A).  [resolve(158,a,150,c)].
2.78/3.11	505 less_or_equal(A,A).  [xx_res(179,b)].
2.78/3.11	550 waterLevel(f9(f5(A,n1),A,n1)) = A | releasedAt(A,n1) | -releasedAt(A,n2).  [para(141(a,1),463(c,2))].
2.78/3.11	554 happens(tapOn,n0).  [resolve(478,a,147,a(flip)),rewrite([147(4)])].
2.78/3.11	558 less(n1,n2).  [resolve(505,a,156,a)].
2.78/3.11	561 less(n0,n1).  [resolve(505,a,143,a)].
2.78/3.11	567 filling != A | -releasedAt(A,n1).  [resolve(554,a,292,c),rewrite([138(8),467(8)]),xx(b)].
2.78/3.11	568 filling != A | holdsAt(A,n1).  [resolve(554,a,291,c),rewrite([138(8),467(8)]),xx(b)].
2.78/3.11	578 less_or_equal(n1,n2).  [resolve(558,a,178,b)].
2.78/3.11	587 less_or_equal(n0,n1).  [resolve(561,a,178,b)].
2.78/3.11	588 n0 != n1.  [resolve(561,a,151,b),flip(a)].
2.78/3.11	596 trajectory(filling,n0,waterLevel(n1),n1).  [resolve(481,a,467,a)].
2.78/3.11	598 trajectory(filling,n0,waterLevel(plus(A,n0)),A).  [resolve(481,a,138,a),rewrite([138(4)])].
2.78/3.11	603 less(n1,n3).  [resolve(578,a,163,a)].
2.78/3.11	606 less(n0,n2).  [resolve(587,a,156,a)].
2.78/3.11	619 n3 != n1.  [resolve(603,a,151,b)].
2.78/3.11	627 less_or_equal(n0,n2).  [resolve(606,a,178,b)].
2.78/3.11	628 n2 != n0.  [resolve(606,a,151,b)].
2.78/3.11	632 n1 = A | less(n1,A) | n0 = A.  [resolve(486,c,177,a),unit_del(c,160)].
2.78/3.11	639 less(n0,n3).  [resolve(627,a,163,a)].
2.78/3.11	657 less_or_equal(n0,n3).  [resolve(639,a,178,b)].
2.78/3.11	658 n3 != n0.  [resolve(639,a,151,b)].
2.78/3.11	667 n2 = A | less(n2,A) | less(A,n1) | n1 = A.  [resolve(491,a,177,a)].
2.78/3.11	668 less(n0,n4).  [resolve(657,a,159,b)].
2.78/3.11	676 n4 = A | less(n4,A) | less(A,n3) | n3 = A.  [resolve(492,a,177,a)].
2.78/3.11	684 n4 != n0.  [resolve(668,a,151,b)].
2.78/3.11	758 holdsAt(filling,n1).  [xx_res(568,a)].
2.78/3.11	760 happens(f1(filling,n1),n1) | releasedAt(filling,n2) | holdsAt(filling,n2).  [resolve(758,a,101,c),rewrite([141(9),141(12)])].
2.78/3.11	761 tapOn != A | stoppedIn(n0,filling,n1) | -happens(A,n0) | holdsAt(waterLevel(n1),n1).  [resolve(596,a,290,d),rewrite([138(10),467(10),138(19),467(19)]),xx(a),unit_del(c,561)].
2.78/3.11	775 tapOn != A | stoppedIn(n0,filling,plus(B,n0)) | -less(n0,B) | -happens(A,n0) | holdsAt(waterLevel(plus(B,n0)),plus(B,n0)).  [resolve(598,a,290,d),rewrite([138(9),138(19)]),xx(a)].
2.78/3.11	778 n1 = A | n0 = A | -less(A,n1).  [resolve(632,b,152,b)].
2.78/3.11	1069 n2 = A | less(n2,A) | n1 = A | n0 = A.  [resolve(667,c,778,c),merge(d)].
2.78/3.11	1081 n4 = A | less(n4,A) | n3 = A | less_or_equal(A,n2).  [resolve(676,c,164,b)].
2.78/3.11	1131 releasedAt(filling,n2) | holdsAt(filling,n2) | holdsAt(waterLevel(n3),n1).  [resolve(760,a,120,c),unit_del(d,588)].
2.78/3.11	1146 stoppedIn(n0,filling,n1) | holdsAt(waterLevel(n1),n1).  [resolve(761,c,554,a),xx(a)].
2.78/3.11	1148 holdsAt(waterLevel(n1),n1) | -happens(f2(n0,filling,n1),f3(n0,filling,n1)) | -holdsAt(filling,plus(n1,f3(n0,filling,n1))).  [resolve(1146,a,299,c)].
2.78/3.11	1151 holdsAt(waterLevel(n1),n1) | happens(f2(n0,filling,n1),f3(n0,filling,n1)).  [resolve(1146,a,104,b)].
2.78/3.11	1153 holdsAt(waterLevel(n1),n1) | less(f3(n0,filling,n1),n1).  [resolve(1146,a,102,b)].
2.78/3.11	1254 holdsAt(filling,n2) | holdsAt(waterLevel(n3),n1) | releasedAt(filling,n1).  [resolve(1131,a,550,c),unit_del(c,128)].
2.78/3.11	1282 holdsAt(waterLevel(n1),n1) | less_or_equal(f3(n0,filling,n1),n0).  [resolve(1153,b,144,b)].
2.78/3.11	1305 holdsAt(filling,n2) | holdsAt(waterLevel(n3),n1).  [resolve(1254,c,567,b),xx(c)].
2.78/3.11	1331 holdsAt(filling,n2) | -holdsAt(waterLevel(A),n1) | n3 = A.  [resolve(1305,b,112,b)].
2.78/3.11	1343 stoppedIn(n0,filling,plus(A,n0)) | -less(n0,A) | holdsAt(waterLevel(plus(A,n0)),plus(A,n0)).  [resolve(775,d,554,a),xx(a)].
2.78/3.11	1363 holdsAt(waterLevel(n1),n1) | f3(n0,filling,n1) = n0.  [resolve(1282,b,177,a),flip(c),unit_del(b,160)].
2.78/3.11	1374 f3(n0,filling,n1) = n0 | holdsAt(filling,n2).  [resolve(1363,a,1331,b),unit_del(c,619)].
2.78/3.11	1465 n2 = A | n1 = A | n0 = A | -less(A,n2).  [resolve(1069,b,152,b)].
2.78/3.11	1466 n4 = A | less(n4,A) | n3 = A | less(A,n2) | n2 = A.  [resolve(1081,d,177,a)].
2.78/3.11	1557 holdsAt(waterLevel(n1),n1) | -holdsAt(filling,plus(n1,f3(n0,filling,n1))).  [resolve(1148,b,1151,b),merge(c)].
2.78/3.11	5158 stoppedIn(n0,filling,n2).  [resolve(1343,b,1466,d),rewrite([138(5),167(5),138(7),167(7),138(9),167(9)]),unit_del(b,180),unit_del(c,684),unit_del(d,160),unit_del(e,658),unit_del(f,628)].
2.78/3.11	5169 -happens(f2(n0,filling,n2),f3(n0,filling,n2)) | -holdsAt(filling,plus(n1,f3(n0,filling,n2))).  [resolve(5158,a,299,c)].
2.78/3.11	5172 happens(f2(n0,filling,n2),f3(n0,filling,n2)).  [resolve(5158,a,104,b)].
2.78/3.11	5173 less(n0,f3(n0,filling,n2)).  [resolve(5158,a,103,b)].
2.78/3.11	5174 less(f3(n0,filling,n2),n2).  [resolve(5158,a,102,b)].
2.78/3.11	5177 -holdsAt(filling,plus(n1,f3(n0,filling,n2))).  [back_unit_del(5169),unit_del(a,5172)].
2.78/3.11	5180 f3(n0,filling,n2) != n0.  [resolve(5173,a,151,b)].
2.78/3.11	5185 f3(n0,filling,n2) = n2 | f3(n0,filling,n2) = n1.  [resolve(5174,a,1465,d),flip(a),flip(b),flip(c),unit_del(c,5180)].
2.78/3.11	5196 f3(n0,filling,n2) != n2.  [resolve(5174,a,151,b),flip(a)].
2.78/3.11	5204 f3(n0,filling,n2) = n1.  [back_unit_del(5185),unit_del(a,5196)].
2.78/3.11	5205 -holdsAt(filling,n2).  [back_rewrite(5177),rewrite([5204(6),141(4)])].
2.78/3.11	5941 f3(n0,filling,n1) = n0.  [back_unit_del(1374),unit_del(b,5205)].
2.78/3.11	5958 -holdsAt(waterLevel(A),n1) | n3 = A.  [back_unit_del(1331),unit_del(a,5205)].
2.78/3.11	5990 holdsAt(waterLevel(n1),n1).  [back_rewrite(1557),rewrite([5941(10),467(8)]),unit_del(b,758)].
2.78/3.11	6529 $F.  [resolve(5958,a,5990,a),unit_del(a,619)].
2.78/3.11	
2.78/3.11	% SZS output end Refutation
2.78/3.11	============================== end of proof ==========================
2.78/3.11	
2.78/3.11	============================== STATISTICS ============================
2.78/3.11	
2.78/3.11	Given=1812. Generated=22549. Kept=6317. proofs=1.
2.78/3.11	Usable=1308. Sos=1927. Demods=26. Limbo=0, Disabled=3402. Hints=0.
2.78/3.11	Megabytes=9.01.
2.78/3.11	User_CPU=1.97, System_CPU=0.03, Wall_clock=2.
2.78/3.11	
2.78/3.11	============================== end of statistics =====================
2.78/3.11	
2.78/3.11	============================== end of search =========================
2.78/3.11	
2.78/3.11	THEOREM PROVED
2.78/3.11	% SZS status Theorem
2.78/3.11	
2.78/3.11	Exiting with 1 proof.
2.78/3.11	
2.78/3.11	Process 19394 exit (max_proofs) Mon Jul  3 07:19:11 2023
2.78/3.11	Prover9 interrupted
2.78/3.12	EOF