0.11/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.12	% Command    : tptp2X_and_run_prover9 %d %s
0.12/0.33	% Computer   : n003.cluster.edu
0.12/0.33	% Model      : x86_64 x86_64
0.12/0.33	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory     : 8042.1875MB
0.12/0.33	% OS         : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit   : 1200
0.12/0.33	% DateTime   : Tue Jul 13 12:09:39 EDT 2021
0.12/0.33	% CPUTime    : 
0.76/1.02	============================== Prover9 ===============================
0.76/1.02	Prover9 (32) version 2009-11A, November 2009.
0.76/1.02	Process 31253 was started by sandbox2 on n003.cluster.edu,
0.76/1.02	Tue Jul 13 12:09:40 2021
0.76/1.02	The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 1200 -f /tmp/Prover9_31100_n003.cluster.edu".
0.76/1.02	============================== end of head ===========================
0.76/1.02	
0.76/1.02	============================== INPUT =================================
0.76/1.02	
0.76/1.02	% Reading from file /tmp/Prover9_31100_n003.cluster.edu
0.76/1.02	
0.76/1.02	set(prolog_style_variables).
0.76/1.02	set(auto2).
0.76/1.02	    % set(auto2) -> set(auto).
0.76/1.02	    % set(auto) -> set(auto_inference).
0.76/1.02	    % set(auto) -> set(auto_setup).
0.76/1.02	    % set(auto_setup) -> set(predicate_elim).
0.76/1.02	    % set(auto_setup) -> assign(eq_defs, unfold).
0.76/1.02	    % set(auto) -> set(auto_limits).
0.76/1.02	    % set(auto_limits) -> assign(max_weight, "100.000").
0.76/1.02	    % set(auto_limits) -> assign(sos_limit, 20000).
0.76/1.02	    % set(auto) -> set(auto_denials).
0.76/1.02	    % set(auto) -> set(auto_process).
0.76/1.02	    % set(auto2) -> assign(new_constants, 1).
0.76/1.02	    % set(auto2) -> assign(fold_denial_max, 3).
0.76/1.02	    % set(auto2) -> assign(max_weight, "200.000").
0.76/1.02	    % set(auto2) -> assign(max_hours, 1).
0.76/1.02	    % assign(max_hours, 1) -> assign(max_seconds, 3600).
0.76/1.02	    % set(auto2) -> assign(max_seconds, 0).
0.76/1.02	    % set(auto2) -> assign(max_minutes, 5).
0.76/1.02	    % assign(max_minutes, 5) -> assign(max_seconds, 300).
0.76/1.02	    % set(auto2) -> set(sort_initial_sos).
0.76/1.02	    % set(auto2) -> assign(sos_limit, -1).
0.76/1.02	    % set(auto2) -> assign(lrs_ticks, 3000).
0.76/1.02	    % set(auto2) -> assign(max_megs, 400).
0.76/1.02	    % set(auto2) -> assign(stats, some).
0.76/1.02	    % set(auto2) -> clear(echo_input).
0.76/1.02	    % set(auto2) -> set(quiet).
0.76/1.02	    % set(auto2) -> clear(print_initial_clauses).
0.76/1.02	    % set(auto2) -> clear(print_given).
0.76/1.02	assign(lrs_ticks,-1).
0.76/1.02	assign(sos_limit,10000).
0.76/1.02	assign(order,kbo).
0.76/1.02	set(lex_order_vars).
0.76/1.02	clear(print_given).
0.76/1.02	
0.76/1.02	% formulas(sos).  % not echoed (55 formulas)
0.76/1.02	
0.76/1.02	============================== end of input ==========================
0.76/1.02	
0.76/1.02	% From the command line: assign(max_seconds, 1200).
0.76/1.02	
0.76/1.02	============================== PROCESS NON-CLAUSAL FORMULAS ==========
0.76/1.02	
0.76/1.02	% Formulas that are not ordinary clauses:
0.76/1.02	1 (all Time1 all Time2 all Fluent (startedIn(Time1,Fluent,Time2) <-> (exists Event exists Time (less(Time1,Time) & initiates(Event,Fluent,Time) & less(Time,Time2) & happens(Event,Time))))) # label(startedin_defn) # label(axiom) # label(non_clause).  [assumption].
0.76/1.02	2 (all Event all Time all Fluent all Fluent2 all Offset (happens(Event,Time) & less(n0,Offset) & -stoppedIn(Time,Fluent,plus(Time,Offset)) & trajectory(Fluent,Time,Fluent2,Offset) & initiates(Event,Fluent,Time) -> holdsAt(Fluent2,plus(Time,Offset)))) # label(change_holding) # label(axiom) # label(non_clause).  [assumption].
0.76/1.02	3 (all Event all Time all Fluent (happens(Event,Time) & (terminates(Event,Fluent,Time) | initiates(Event,Fluent,Time)) -> -releasedAt(Fluent,plus(Time,n1)))) # label(happens_not_released) # label(axiom) # label(non_clause).  [assumption].
0.76/1.02	4 (all Fluent all Time (-(exists Event (happens(Event,Time) & releases(Event,Fluent,Time))) & -releasedAt(Fluent,Time) -> -releasedAt(Fluent,plus(Time,n1)))) # label(keep_not_released) # label(axiom) # label(non_clause).  [assumption].
0.76/1.02	5 (all Fluent all Time (-(exists Event ((initiates(Event,Fluent,Time) | terminates(Event,Fluent,Time)) & happens(Event,Time))) & releasedAt(Fluent,Time) -> releasedAt(Fluent,plus(Time,n1)))) # label(keep_released) # label(axiom) # label(non_clause).  [assumption].
0.76/1.02	6 (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].
0.76/1.02	7 (all Event all Time all Fluent (initiates(Event,Fluent,Time) & happens(Event,Time) -> holdsAt(Fluent,plus(Time,n1)))) # label(happens_holds) # label(axiom) # label(non_clause).  [assumption].
0.76/1.02	8 (all Event all Time1 all Fluent1 all Time2 all Fluent2 (terminates(Event,Fluent1,Time1) & -startedIn(Time1,Fluent1,plus(Time1,Time2)) & antitrajectory(Fluent1,Time1,Fluent2,Time2) & less(n0,Time2) & happens(Event,Time1) -> holdsAt(Fluent2,plus(Time1,Time2)))) # label(antitrajectory) # label(axiom) # label(non_clause).  [assumption].
0.76/1.02	9 (all Time1 all Fluent all Time2 (stoppedIn(Time1,Fluent,Time2) <-> (exists Event exists Time (less(Time1,Time) & less(Time,Time2) & terminates(Event,Fluent,Time) & happens(Event,Time))))) # label(stoppedin_defn) # label(axiom) # label(non_clause).  [assumption].
0.76/1.02	10 (all Fluent all Time (-holdsAt(Fluent,Time) & -releasedAt(Fluent,plus(Time,n1)) & -(exists Event (happens(Event,Time) & initiates(Event,Fluent,Time))) -> -holdsAt(Fluent,plus(Time,n1)))) # label(keep_not_holding) # label(axiom) # label(non_clause).  [assumption].
0.76/1.02	11 (all Fluent all Time (-(exists Event (happens(Event,Time) & terminates(Event,Fluent,Time))) & -releasedAt(Fluent,plus(Time,n1)) & holdsAt(Fluent,Time) -> holdsAt(Fluent,plus(Time,n1)))) # label(keep_holding) # label(axiom) # label(non_clause).  [assumption].
0.76/1.02	12 (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].
0.76/1.02	13 (all Event all Time (Event = tapOn & Time = n0 | holdsAt(filling,Time) & overflow = Event & holdsAt(waterLevel(n3),Time) <-> happens(Event,Time))) # label(happens_all_defn) # label(axiom) # label(non_clause).  [assumption].
0.76/1.02	14 (all Height1 all Time all Height2 all Offset (Height2 = plus(Height1,Offset) & holdsAt(waterLevel(Height1),Time) -> trajectory(filling,Time,waterLevel(Height2),Offset))) # label(change_of_waterLevel) # label(axiom) # label(non_clause).  [assumption].
0.76/1.02	15 (all Time all Height1 all Height2 (holdsAt(waterLevel(Height2),Time) & holdsAt(waterLevel(Height1),Time) -> Height1 = Height2)) # label(same_waterLevel) # label(axiom) # label(non_clause).  [assumption].
0.76/1.02	16 (all X all Y (waterLevel(Y) = waterLevel(X) <-> X = Y)) # label(distinct_waterLevels) # label(axiom) # label(non_clause).  [assumption].
0.76/1.02	17 (all X spilling != waterLevel(X)) # label(spilling_not_waterLevel) # label(axiom) # label(non_clause).  [assumption].
0.76/1.02	18 (all Event all Fluent all Time (terminates(Event,Fluent,Time) <-> filling = Fluent & Event = tapOff | filling = Fluent & overflow = Event)) # label(terminates_all_defn) # label(axiom) # label(non_clause).  [assumption].
0.76/1.02	19 (all Event all Fluent all Time (initiates(Event,Fluent,Time) <-> (exists Height (tapOff = Event & waterLevel(Height) = Fluent & holdsAt(waterLevel(Height),Time))) | (exists Height (holdsAt(waterLevel(Height),Time) & waterLevel(Height) = Fluent & Event = overflow)) | Fluent = spilling & Event = overflow | Fluent = filling & tapOn = Event)) # label(initiates_all_defn) # label(axiom) # label(non_clause).  [assumption].
0.76/1.02	20 (all Event all Fluent all Time ((exists Height (Fluent = waterLevel(Height) & Event = tapOn)) <-> releases(Event,Fluent,Time))) # label(releases_all_defn) # label(axiom) # label(non_clause).  [assumption].
0.76/1.02	21 (all X waterLevel(X) != filling) # label(filling_not_waterLevel) # label(axiom) # label(non_clause).  [assumption].
0.76/1.02	22 (all X all Y (less(X,Y) | Y = X <-> less_or_equal(X,Y))) # label(less_or_equal) # label(axiom) # label(non_clause).  [assumption].
0.76/1.02	23 (all X (less_or_equal(X,n8) <-> less(X,n9))) # label(less9) # label(axiom) # label(non_clause).  [assumption].
0.76/1.02	24 -(exists X less(X,n0)) # label(less0) # label(axiom) # label(non_clause).  [assumption].
0.76/1.02	25 (all X (less(X,n5) <-> less_or_equal(X,n4))) # label(less5) # label(axiom) # label(non_clause).  [assumption].
0.76/1.02	26 (all X (less(X,n8) <-> less_or_equal(X,n7))) # label(less8) # label(axiom) # label(non_clause).  [assumption].
0.76/1.02	27 (all X (less_or_equal(X,n1) <-> less(X,n2))) # label(less2) # label(axiom) # label(non_clause).  [assumption].
0.76/1.02	28 (all X (less(X,n7) <-> less_or_equal(X,n6))) # label(less7) # label(axiom) # label(non_clause).  [assumption].
0.76/1.02	29 (all X all Y plus(X,Y) = plus(Y,X)) # label(symmetry_of_plus) # label(axiom) # label(non_clause).  [assumption].
0.76/1.02	30 (all X (less_or_equal(X,n5) <-> less(X,n6))) # label(less6) # label(axiom) # label(non_clause).  [assumption].
0.76/1.02	31 (all Height -releasedAt(waterLevel(Height),n0)) # label(not_released_waterLevel_0) # label(hypothesis) # label(non_clause).  [assumption].
0.76/1.03	32 (all X (less_or_equal(X,n0) <-> less(X,n1))) # label(less1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.03	33 (all X (less(X,n3) <-> less_or_equal(X,n2))) # label(less3) # label(axiom) # label(non_clause).  [assumption].
0.76/1.03	34 (all X (less_or_equal(X,n3) <-> less(X,n4))) # label(less4) # label(axiom) # label(non_clause).  [assumption].
0.76/1.03	35 (all X all Y (-less(Y,X) & X != Y <-> less(X,Y))) # label(less_property) # label(axiom) # label(non_clause).  [assumption].
0.76/1.03	36 --(exists Event (happens(Event,n2) & terminates(Event,filling,n2))) # label(nothing_terminates_filling_2) # label(negated_conjecture) # label(non_clause).  [assumption].
0.76/1.03	
0.76/1.03	============================== end of process non-clausal formulas ===
0.76/1.03	
0.76/1.03	============================== PROCESS INITIAL CLAUSES ===============
0.76/1.03	
0.76/1.03	============================== PREDICATE ELIMINATION =================
0.76/1.03	37 startedIn(A,B,C) | -less(A,D) | -initiates(E,B,D) | -less(D,C) | -happens(E,D) # label(startedin_defn) # label(axiom).  [clausify(1)].
0.76/1.03	38 -startedIn(A,B,C) | less(A,f2(A,C,B)) # label(startedin_defn) # label(axiom).  [clausify(1)].
0.76/1.03	39 -startedIn(A,B,C) | initiates(f1(A,C,B),B,f2(A,C,B)) # label(startedin_defn) # label(axiom).  [clausify(1)].
0.76/1.03	40 -startedIn(A,B,C) | less(f2(A,C,B),C) # label(startedin_defn) # label(axiom).  [clausify(1)].
0.76/1.03	41 -startedIn(A,B,C) | happens(f1(A,C,B),f2(A,C,B)) # label(startedin_defn) # label(axiom).  [clausify(1)].
0.76/1.03	Derived: -less(A,B) | -initiates(C,D,B) | -less(B,E) | -happens(C,B) | less(A,f2(A,E,D)).  [resolve(37,a,38,a)].
0.76/1.03	Derived: -less(A,B) | -initiates(C,D,B) | -less(B,E) | -happens(C,B) | initiates(f1(A,E,D),D,f2(A,E,D)).  [resolve(37,a,39,a)].
0.76/1.03	Derived: -less(A,B) | -initiates(C,D,B) | -less(B,E) | -happens(C,B) | less(f2(A,E,D),E).  [resolve(37,a,40,a)].
0.76/1.03	Derived: -less(A,B) | -initiates(C,D,B) | -less(B,E) | -happens(C,B) | happens(f1(A,E,D),f2(A,E,D)).  [resolve(37,a,41,a)].
0.76/1.03	42 -terminates(A,B,C) | startedIn(C,B,plus(C,D)) | -antitrajectory(B,C,E,D) | -less(n0,D) | -happens(A,C) | holdsAt(E,plus(C,D)) # label(antitrajectory) # label(axiom).  [clausify(8)].
0.76/1.03	Derived: -terminates(A,B,C) | -antitrajectory(B,C,D,E) | -less(n0,E) | -happens(A,C) | holdsAt(D,plus(C,E)) | less(C,f2(C,plus(C,E),B)).  [resolve(42,b,38,a)].
0.76/1.03	Derived: -terminates(A,B,C) | -antitrajectory(B,C,D,E) | -less(n0,E) | -happens(A,C) | holdsAt(D,plus(C,E)) | initiates(f1(C,plus(C,E),B),B,f2(C,plus(C,E),B)).  [resolve(42,b,39,a)].
0.76/1.03	Derived: -terminates(A,B,C) | -antitrajectory(B,C,D,E) | -less(n0,E) | -happens(A,C) | holdsAt(D,plus(C,E)) | less(f2(C,plus(C,E),B),plus(C,E)).  [resolve(42,b,40,a)].
0.76/1.03	Derived: -terminates(A,B,C) | -antitrajectory(B,C,D,E) | -less(n0,E) | -happens(A,C) | holdsAt(D,plus(C,E)) | happens(f1(C,plus(C,E),B),f2(C,plus(C,E),B)).  [resolve(42,b,41,a)].
0.76/1.03	43 -stoppedIn(A,B,C) | less(A,f6(A,B,C)) # label(stoppedin_defn) # label(axiom).  [clausify(9)].
0.76/1.03	44 -happens(A,B) | -less(n0,C) | stoppedIn(B,D,plus(B,C)) | -trajectory(D,B,E,C) | -initiates(A,D,B) | holdsAt(E,plus(B,C)) # label(change_holding) # label(axiom).  [clausify(2)].
0.76/1.03	Derived: less(A,f6(A,B,plus(A,C))) | -happens(D,A) | -less(n0,C) | -trajectory(B,A,E,C) | -initiates(D,B,A) | holdsAt(E,plus(A,C)).  [resolve(43,a,44,c)].
0.76/1.03	45 -stoppedIn(A,B,C) | less(f6(A,B,C),C) # label(stoppedin_defn) # label(axiom).  [clausify(9)].
0.76/1.03	Derived: less(f6(A,B,plus(A,C)),plus(A,C)) | -happens(D,A) | -less(n0,C) | -trajectory(B,A,E,C) | -initiates(D,B,A) | holdsAt(E,plus(A,C)).  [resolve(45,a,44,c)].
0.76/1.03	46 -stoppedIn(A,B,C) | terminates(f5(A,B,C),B,f6(A,B,C)) # label(stoppedin_defn) # label(axiom).  [clausify(9)].
0.76/1.03	Derived: terminates(f5(A,B,plus(A,C)),B,f6(A,B,plus(A,C))) | -happens(D,A) | -less(n0,C) | -trajectory(B,A,E,C) | -initiates(D,B,A) | holdsAt(E,plus(A,C)).  [resolve(46,a,44,c)].
0.76/1.03	47 -stoppedIn(A,B,C) | happens(f5(A,B,C),f6(A,B,C)) # label(stoppedin_defn) # label(axiom).  [clausify(9)].
0.76/1.03	Derived: happens(f5(A,B,plus(A,C)),f6(A,B,plus(A,C))) | -happens(D,A) | -less(n0,C) | -trajectory(B,A,E,C) | -initiates(D,B,A) | holdsAt(E,plus(A,C)).  [resolve(47,a,44,c)].
0.76/1.13	48 stoppedIn(A,B,C) | -less(A,D) | -less(D,C) | -terminates(E,B,D) | -happens(E,D) # label(stoppedin_defn) # label(axiom).  [clausify(9)].
0.76/1.13	Derived: -less(A,B) | -less(B,C) | -terminates(D,E,B) | -happens(D,B) | less(A,f6(A,E,C)).  [resolve(48,a,43,a)].
0.76/1.13	Derived: -less(A,B) | -less(B,C) | -terminates(D,E,B) | -happens(D,B) | less(f6(A,E,C),C).  [resolve(48,a,45,a)].
0.76/1.13	Derived: -less(A,B) | -less(B,C) | -terminates(D,E,B) | -happens(D,B) | terminates(f5(A,E,C),E,f6(A,E,C)).  [resolve(48,a,46,a)].
0.76/1.13	Derived: -less(A,B) | -less(B,C) | -terminates(D,E,B) | -happens(D,B) | happens(f5(A,E,C),f6(A,E,C)).  [resolve(48,a,47,a)].
0.76/1.13	49 -releases(A,B,C) | -happens(A,C) | releasedAt(B,plus(C,n1)) # label(happens_releases) # label(axiom).  [clausify(12)].
0.76/1.13	50 releases(f3(A,B),A,B) | releasedAt(A,B) | -releasedAt(A,plus(B,n1)) # label(keep_not_released) # label(axiom).  [clausify(4)].
0.76/1.13	51 waterLevel(A) != B | tapOn != C | releases(C,B,D) # label(releases_all_defn) # label(axiom).  [clausify(20)].
0.76/1.13	Derived: waterLevel(A) != B | tapOn != C | -happens(C,D) | releasedAt(B,plus(D,n1)).  [resolve(51,c,49,a)].
0.76/1.13	52 waterLevel(f11(A,B,C)) = B | -releases(A,B,C) # label(releases_all_defn) # label(axiom).  [clausify(20)].
0.76/1.13	Derived: waterLevel(f11(f3(A,B),A,B)) = A | releasedAt(A,B) | -releasedAt(A,plus(B,n1)).  [resolve(52,b,50,a)].
0.76/1.13	Derived: waterLevel(f11(A,B,C)) = B | waterLevel(D) != B | tapOn != A.  [resolve(52,b,51,c)].
0.76/1.13	53 tapOn = A | -releases(A,B,C) # label(releases_all_defn) # label(axiom).  [clausify(20)].
0.76/1.13	Derived: tapOn = f3(A,B) | releasedAt(A,B) | -releasedAt(A,plus(B,n1)).  [resolve(53,b,50,a)].
0.76/1.13	54 less(A,f6(A,B,plus(A,C))) | -happens(D,A) | -less(n0,C) | -trajectory(B,A,E,C) | -initiates(D,B,A) | holdsAt(E,plus(A,C)).  [resolve(43,a,44,c)].
0.76/1.13	55 plus(A,B) != C | -holdsAt(waterLevel(A),D) | trajectory(filling,D,waterLevel(C),B) # label(change_of_waterLevel) # label(axiom).  [clausify(14)].
0.76/1.13	Derived: less(A,f6(A,filling,plus(A,B))) | -happens(C,A) | -less(n0,B) | -initiates(C,filling,A) | holdsAt(waterLevel(D),plus(A,B)) | plus(E,B) != D | -holdsAt(waterLevel(E),A).  [resolve(54,d,55,c)].
0.76/1.13	56 less(f6(A,B,plus(A,C)),plus(A,C)) | -happens(D,A) | -less(n0,C) | -trajectory(B,A,E,C) | -initiates(D,B,A) | holdsAt(E,plus(A,C)).  [resolve(45,a,44,c)].
0.76/1.13	Derived: less(f6(A,filling,plus(A,B)),plus(A,B)) | -happens(C,A) | -less(n0,B) | -initiates(C,filling,A) | holdsAt(waterLevel(D),plus(A,B)) | plus(E,B) != D | -holdsAt(waterLevel(E),A).  [resolve(56,d,55,c)].
0.76/1.13	57 terminates(f5(A,B,plus(A,C)),B,f6(A,B,plus(A,C))) | -happens(D,A) | -less(n0,C) | -trajectory(B,A,E,C) | -initiates(D,B,A) | holdsAt(E,plus(A,C)).  [resolve(46,a,44,c)].
0.76/1.13	Derived: terminates(f5(A,filling,plus(A,B)),filling,f6(A,filling,plus(A,B))) | -happens(C,A) | -less(n0,B) | -initiates(C,filling,A) | holdsAt(waterLevel(D),plus(A,B)) | plus(E,B) != D | -holdsAt(waterLevel(E),A).  [resolve(57,d,55,c)].
0.76/1.13	58 happens(f5(A,B,plus(A,C)),f6(A,B,plus(A,C))) | -happens(D,A) | -less(n0,C) | -trajectory(B,A,E,C) | -initiates(D,B,A) | holdsAt(E,plus(A,C)).  [resolve(47,a,44,c)].
0.76/1.13	Derived: happens(f5(A,filling,plus(A,B)),f6(A,filling,plus(A,B))) | -happens(C,A) | -less(n0,B) | -initiates(C,filling,A) | holdsAt(waterLevel(D),plus(A,B)) | plus(E,B) != D | -holdsAt(waterLevel(E),A).  [resolve(58,d,55,c)].
0.76/1.13	
0.76/1.13	============================== end predicate elimination =============
0.76/1.13	
0.76/1.13	Auto_denials:  (non-Horn, no changes).
0.76/1.13	
0.76/1.13	Term ordering decisions:
0.76/1.13	
0.76/1.13	% Assigning unary symbol waterLevel kb_weight 0 and highest precedence (37).
0.76/1.13	Function symbol KB weights:  filling=1. n1=1. n0=1. tapOn=1. n3=1. n2=1. overflow=1. spilling=1. tapOff=1. n4=1. n5=1. n6=1. n7=1. n8=1. n9=1. c1=1. plus=1. f3=1. f4=1. f7=1. f8=1. f1=1. f2=1. f5=1. f6=1. f9=1. f10=1. f11=1. waterLevel=0.
0.76/1.13	
0.76/1.13	============================== end of process initial clauses ========
0.76/1.13	
0.76/1.13	============================== CLAUSES FOR SEARCH ====================
0.76/1.13	
0.76/1.13	============================== end of clauses for search =============
0.76/1.13	
0.76/1.13	============================== SEARCH ================================
0.76/1.13	
0.76/1.13	% Starting search at 0.03 seconds.
0.76/1.13	
0.76/1.13	NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 37 (0.00 of 0.12 sec).
7.08/7.37	
7.08/7.37	Low Water (keep): wt=40.000, iters=4108
7.08/7.37	
7.08/7.37	Low Water (keep): wt=38.000, iters=3840
7.08/7.37	
7.08/7.37	Low Water (keep): wt=31.000, iters=4880
7.08/7.37	
7.08/7.37	Low Water (keep): wt=30.000, iters=4862
7.08/7.37	
7.08/7.37	Low Water (keep): wt=24.000, iters=3408
7.08/7.37	
7.08/7.37	Low Water (displace): id=8355, wt=77.000
7.08/7.37	
7.08/7.37	Low Water (displace): id=8349, wt=61.000
7.08/7.37	
7.08/7.37	Low Water (displace): id=8348, wt=60.000
7.08/7.37	
7.08/7.37	Low Water (displace): id=8351, wt=57.000
7.08/7.37	
7.08/7.37	Low Water (displace): id=8354, wt=56.000
7.08/7.37	
7.08/7.37	Low Water (displace): id=4742, wt=54.000
7.08/7.37	
7.08/7.37	Low Water (displace): id=8317, wt=53.000
7.08/7.37	
7.08/7.37	Low Water (displace): id=8101, wt=52.000
7.08/7.37	
7.08/7.37	Low Water (displace): id=8269, wt=51.000
7.08/7.37	
7.08/7.37	Low Water (displace): id=8614, wt=49.000
7.08/7.37	
7.08/7.37	Low Water (displace): id=8398, wt=48.000
7.08/7.37	
7.08/7.37	Low Water (displace): id=8639, wt=46.000
7.08/7.37	
7.08/7.37	Low Water (displace): id=8764, wt=45.000
7.08/7.37	
7.08/7.37	Low Water (displace): id=4469, wt=43.000
7.08/7.37	
7.08/7.37	Low Water (displace): id=8789, wt=42.000
7.08/7.37	
7.08/7.37	Low Water (displace): id=14962, wt=21.000
7.08/7.37	
7.08/7.37	Low Water (displace): id=14967, wt=18.000
7.08/7.37	
7.08/7.37	Low Water (keep): wt=21.000, iters=4884
7.08/7.37	
7.08/7.37	Low Water (keep): wt=18.000, iters=3636
7.08/7.37	
7.08/7.37	Low Water (displace): id=16820, wt=17.000
7.08/7.37	
7.08/7.37	============================== PROOF =================================
7.08/7.37	% SZS status Theorem
7.08/7.37	% SZS output start Refutation
7.08/7.37	
7.08/7.37	% Proof 1 at 6.20 (+ 0.17) seconds.
7.08/7.37	% Length of proof is 250.
7.08/7.37	% Level of proof is 28.
7.08/7.37	% Maximum clause weight is 38.000.
7.08/7.37	% Given clauses 5836.
7.08/7.37	
7.08/7.37	1 (all Time1 all Time2 all Fluent (startedIn(Time1,Fluent,Time2) <-> (exists Event exists Time (less(Time1,Time) & initiates(Event,Fluent,Time) & less(Time,Time2) & happens(Event,Time))))) # label(startedin_defn) # label(axiom) # label(non_clause).  [assumption].
7.08/7.37	2 (all Event all Time all Fluent all Fluent2 all Offset (happens(Event,Time) & less(n0,Offset) & -stoppedIn(Time,Fluent,plus(Time,Offset)) & trajectory(Fluent,Time,Fluent2,Offset) & initiates(Event,Fluent,Time) -> holdsAt(Fluent2,plus(Time,Offset)))) # label(change_holding) # label(axiom) # label(non_clause).  [assumption].
7.08/7.37	3 (all Event all Time all Fluent (happens(Event,Time) & (terminates(Event,Fluent,Time) | initiates(Event,Fluent,Time)) -> -releasedAt(Fluent,plus(Time,n1)))) # label(happens_not_released) # label(axiom) # label(non_clause).  [assumption].
7.08/7.37	6 (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].
7.08/7.37	9 (all Time1 all Fluent all Time2 (stoppedIn(Time1,Fluent,Time2) <-> (exists Event exists Time (less(Time1,Time) & less(Time,Time2) & terminates(Event,Fluent,Time) & happens(Event,Time))))) # label(stoppedin_defn) # label(axiom) # label(non_clause).  [assumption].
7.08/7.37	11 (all Fluent all Time (-(exists Event (happens(Event,Time) & terminates(Event,Fluent,Time))) & -releasedAt(Fluent,plus(Time,n1)) & holdsAt(Fluent,Time) -> holdsAt(Fluent,plus(Time,n1)))) # label(keep_holding) # label(axiom) # label(non_clause).  [assumption].
7.08/7.37	13 (all Event all Time (Event = tapOn & Time = n0 | holdsAt(filling,Time) & overflow = Event & holdsAt(waterLevel(n3),Time) <-> happens(Event,Time))) # label(happens_all_defn) # label(axiom) # label(non_clause).  [assumption].
7.08/7.37	14 (all Height1 all Time all Height2 all Offset (Height2 = plus(Height1,Offset) & holdsAt(waterLevel(Height1),Time) -> trajectory(filling,Time,waterLevel(Height2),Offset))) # label(change_of_waterLevel) # label(axiom) # label(non_clause).  [assumption].
7.08/7.37	15 (all Time all Height1 all Height2 (holdsAt(waterLevel(Height2),Time) & holdsAt(waterLevel(Height1),Time) -> Height1 = Height2)) # label(same_waterLevel) # label(axiom) # label(non_clause).  [assumption].
7.08/7.37	16 (all X all Y (waterLevel(Y) = waterLevel(X) <-> X = Y)) # label(distinct_waterLevels) # label(axiom) # label(non_clause).  [assumption].
7.08/7.37	17 (all X spilling != waterLevel(X)) # label(spilling_not_waterLevel) # label(axiom) # label(non_clause).  [assumption].
7.08/7.37	19 (all Event all Fluent all Time (initiates(Event,Fluent,Time) <-> (exists Height (tapOff = Event & waterLevel(Height) = Fluent & holdsAt(waterLevel(Height),Time))) | (exists Height (holdsAt(waterLevel(Height),Time) & waterLevel(Height) = Fluent & Event = overflow)) | Fluent = spilling & Event = overflow | Fluent = filling & tapOn = Event)) # label(initiates_all_defn) # label(axiom) # label(non_clause).  [assumption].
7.08/7.37	20 (all Event all Fluent all Time ((exists Height (Fluent = waterLevel(Height) & Event = tapOn)) <-> releases(Event,Fluent,Time))) # label(releases_all_defn) # label(axiom) # label(non_clause).  [assumption].
7.08/7.37	22 (all X all Y (less(X,Y) | Y = X <-> less_or_equal(X,Y))) # label(less_or_equal) # label(axiom) # label(non_clause).  [assumption].
7.08/7.37	23 (all X (less_or_equal(X,n8) <-> less(X,n9))) # label(less9) # label(axiom) # label(non_clause).  [assumption].
7.08/7.37	24 -(exists X less(X,n0)) # label(less0) # label(axiom) # label(non_clause).  [assumption].
7.08/7.37	25 (all X (less(X,n5) <-> less_or_equal(X,n4))) # label(less5) # label(axiom) # label(non_clause).  [assumption].
7.08/7.37	26 (all X (less(X,n8) <-> less_or_equal(X,n7))) # label(less8) # label(axiom) # label(non_clause).  [assumption].
7.08/7.37	27 (all X (less_or_equal(X,n1) <-> less(X,n2))) # label(less2) # label(axiom) # label(non_clause).  [assumption].
7.08/7.37	28 (all X (less(X,n7) <-> less_or_equal(X,n6))) # label(less7) # label(axiom) # label(non_clause).  [assumption].
7.08/7.37	29 (all X all Y plus(X,Y) = plus(Y,X)) # label(symmetry_of_plus) # label(axiom) # label(non_clause).  [assumption].
7.08/7.37	30 (all X (less_or_equal(X,n5) <-> less(X,n6))) # label(less6) # label(axiom) # label(non_clause).  [assumption].
7.08/7.37	32 (all X (less_or_equal(X,n0) <-> less(X,n1))) # label(less1) # label(axiom) # label(non_clause).  [assumption].
7.08/7.37	33 (all X (less(X,n3) <-> less_or_equal(X,n2))) # label(less3) # label(axiom) # label(non_clause).  [assumption].
7.08/7.37	34 (all X (less_or_equal(X,n3) <-> less(X,n4))) # label(less4) # label(axiom) # label(non_clause).  [assumption].
7.08/7.37	35 (all X all Y (-less(Y,X) & X != Y <-> less(X,Y))) # label(less_property) # label(axiom) # label(non_clause).  [assumption].
7.08/7.37	36 --(exists Event (happens(Event,n2) & terminates(Event,filling,n2))) # label(nothing_terminates_filling_2) # label(negated_conjecture) # label(non_clause).  [assumption].
7.08/7.37	37 startedIn(A,B,C) | -less(A,D) | -initiates(E,B,D) | -less(D,C) | -happens(E,D) # label(startedin_defn) # label(axiom).  [clausify(1)].
7.08/7.37	38 -startedIn(A,B,C) | less(A,f2(A,C,B)) # label(startedin_defn) # label(axiom).  [clausify(1)].
7.08/7.37	39 -startedIn(A,B,C) | initiates(f1(A,C,B),B,f2(A,C,B)) # label(startedin_defn) # label(axiom).  [clausify(1)].
7.08/7.37	40 -startedIn(A,B,C) | less(f2(A,C,B),C) # label(startedin_defn) # label(axiom).  [clausify(1)].
7.08/7.37	41 -startedIn(A,B,C) | happens(f1(A,C,B),f2(A,C,B)) # label(startedin_defn) # label(axiom).  [clausify(1)].
7.08/7.37	43 -stoppedIn(A,B,C) | less(A,f6(A,B,C)) # label(stoppedin_defn) # label(axiom).  [clausify(9)].
7.08/7.37	44 -happens(A,B) | -less(n0,C) | stoppedIn(B,D,plus(B,C)) | -trajectory(D,B,E,C) | -initiates(A,D,B) | holdsAt(E,plus(B,C)) # label(change_holding) # label(axiom).  [clausify(2)].
7.08/7.37	45 -stoppedIn(A,B,C) | less(f6(A,B,C),C) # label(stoppedin_defn) # label(axiom).  [clausify(9)].
7.08/7.37	47 -stoppedIn(A,B,C) | happens(f5(A,B,C),f6(A,B,C)) # label(stoppedin_defn) # label(axiom).  [clausify(9)].
7.08/7.37	51 waterLevel(A) != B | tapOn != C | releases(C,B,D) # label(releases_all_defn) # label(axiom).  [clausify(20)].
7.08/7.37	52 waterLevel(f11(A,B,C)) = B | -releases(A,B,C) # label(releases_all_defn) # label(axiom).  [clausify(20)].
7.08/7.37	54 less(A,f6(A,B,plus(A,C))) | -happens(D,A) | -less(n0,C) | -trajectory(B,A,E,C) | -initiates(D,B,A) | holdsAt(E,plus(A,C)).  [resolve(43,a,44,c)].
7.08/7.37	55 plus(A,B) != C | -holdsAt(waterLevel(A),D) | trajectory(filling,D,waterLevel(C),B) # label(change_of_waterLevel) # label(axiom).  [clausify(14)].
7.08/7.37	56 less(f6(A,B,plus(A,C)),plus(A,C)) | -happens(D,A) | -less(n0,C) | -trajectory(B,A,E,C) | -initiates(D,B,A) | holdsAt(E,plus(A,C)).  [resolve(45,a,44,c)].
7.08/7.37	58 happens(f5(A,B,plus(A,C)),f6(A,B,plus(A,C))) | -happens(D,A) | -less(n0,C) | -trajectory(B,A,E,C) | -initiates(D,B,A) | holdsAt(E,plus(A,C)).  [resolve(47,a,44,c)].
7.08/7.37	59 -happens(A,B) | -terminates(A,C,B) | -releasedAt(C,plus(B,n1)) # label(happens_not_released) # label(axiom).  [clausify(3)].
7.08/7.37	64 -terminates(A,B,C) | -happens(A,C) | -holdsAt(B,plus(C,n1)) # label(happens_terminates_not_holds) # label(axiom).  [clausify(6)].
7.08/7.37	68 happens(f8(A,B),B) | releasedAt(A,plus(B,n1)) | -holdsAt(A,B) | holdsAt(A,plus(B,n1)) # label(keep_holding) # label(axiom).  [clausify(11)].
7.08/7.37	70 tapOn != A | n0 != B | happens(A,B) # label(happens_all_defn) # label(axiom).  [clausify(13)].
7.08/7.37	75 n0 = A | holdsAt(filling,A) | -happens(B,A) # label(happens_all_defn) # label(axiom).  [clausify(13)].
7.08/7.37	76 n0 = A | overflow = B | -happens(B,A) # label(happens_all_defn) # label(axiom).  [clausify(13)].
7.08/7.37	77 n0 = A | holdsAt(waterLevel(n3),A) | -happens(B,A) # label(happens_all_defn) # label(axiom).  [clausify(13)].
7.08/7.37	78 -holdsAt(waterLevel(A),B) | -holdsAt(waterLevel(C),B) | A = C # label(same_waterLevel) # label(axiom).  [clausify(15)].
7.08/7.37	81 tapOff != overflow # label(tapOff_not_overflow) # label(axiom).  [assumption].
7.08/7.37	82 waterLevel(A) != waterLevel(B) | A = B # label(distinct_waterLevels) # label(axiom).  [clausify(16)].
7.08/7.37	84 waterLevel(A) != spilling # label(spilling_not_waterLevel) # label(axiom).  [clausify(17)].
7.08/7.37	92 -initiates(A,B,C) | tapOff = A | waterLevel(f10(A,B,C)) = B | spilling = B | tapOn = A # label(initiates_all_defn) # label(axiom).  [clausify(19)].
7.08/7.37	108 initiates(A,B,C) | -holdsAt(waterLevel(D),C) | waterLevel(D) != B | overflow != A # label(initiates_all_defn) # label(axiom).  [clausify(19)].
7.08/7.37	110 initiates(A,B,C) | filling != B | tapOn != A # label(initiates_all_defn) # label(axiom).  [clausify(19)].
7.08/7.37	113 overflow != tapOn # label(overflow_not_tapOn) # label(axiom).  [assumption].
7.08/7.37	117 -less(A,B) | less_or_equal(A,B) # label(less_or_equal) # label(axiom).  [clausify(22)].
7.08/7.37	118 A != B | less_or_equal(B,A) # label(less_or_equal) # label(axiom).  [clausify(22)].
7.08/7.37	119 less(A,B) | B = A | -less_or_equal(A,B) # label(less_or_equal) # label(axiom).  [clausify(22)].
7.08/7.37	120 -less_or_equal(A,n8) | less(A,n9) # label(less9) # label(axiom).  [clausify(23)].
7.08/7.37	121 less_or_equal(A,n8) | -less(A,n9) # label(less9) # label(axiom).  [clausify(23)].
7.08/7.37	122 -less(A,n0) # label(less0) # label(axiom).  [clausify(24)].
7.08/7.37	125 holdsAt(waterLevel(n0),n0) # label(waterLevel_0) # label(hypothesis).  [assumption].
7.08/7.37	128 less(A,n5) | -less_or_equal(A,n4) # label(less5) # label(axiom).  [clausify(25)].
7.08/7.37	130 -less(A,n8) | less_or_equal(A,n7) # label(less8) # label(axiom).  [clausify(26)].
7.08/7.37	131 less(A,n8) | -less_or_equal(A,n7) # label(less8) # label(axiom).  [clausify(26)].
7.08/7.37	132 -less_or_equal(A,n1) | less(A,n2) # label(less2) # label(axiom).  [clausify(27)].
7.08/7.37	133 less_or_equal(A,n1) | -less(A,n2) # label(less2) # label(axiom).  [clausify(27)].
7.08/7.37	134 n3 = plus(n1,n2) # label(plus1_2) # label(axiom).  [assumption].
7.08/7.37	135 plus(n1,n2) = n3.  [copy(134),flip(a)].
7.08/7.37	137 less(A,n7) | -less_or_equal(A,n6) # label(less7) # label(axiom).  [clausify(28)].
7.08/7.37	138 plus(n0,n1) = n1 # label(plus0_1) # label(axiom).  [assumption].
7.08/7.37	139 plus(A,B) = plus(B,A) # label(symmetry_of_plus) # label(axiom).  [clausify(29)].
7.08/7.37	141 plus(n0,n2) = n2 # label(plus0_2) # label(axiom).  [assumption].
7.08/7.37	142 -less_or_equal(A,n5) | less(A,n6) # label(less6) # label(axiom).  [clausify(30)].
7.08/7.37	144 plus(n0,n0) = n0 # label(plus0_0) # label(axiom).  [assumption].
7.08/7.37	146 -less_or_equal(A,n0) | less(A,n1) # label(less1) # label(axiom).  [clausify(32)].
7.08/7.37	147 less_or_equal(A,n0) | -less(A,n1) # label(less1) # label(axiom).  [clausify(32)].
7.08/7.37	152 -less(A,n3) | less_or_equal(A,n2) # label(less3) # label(axiom).  [clausify(33)].
7.08/7.37	153 less(A,n3) | -less_or_equal(A,n2) # label(less3) # label(axiom).  [clausify(33)].
7.08/7.37	156 -less_or_equal(A,n3) | less(A,n4) # label(less4) # label(axiom).  [clausify(34)].
7.08/7.37	157 less_or_equal(A,n3) | -less(A,n4) # label(less4) # label(axiom).  [clausify(34)].
7.08/7.37	158 less(A,B) | A = B | less(B,A) # label(less_property) # label(axiom).  [clausify(35)].
7.08/7.37	159 -less(A,B) | -less(B,A) # label(less_property) # label(axiom).  [clausify(35)].
7.08/7.37	160 A != B | -less(B,A) # label(less_property) # label(axiom).  [clausify(35)].
7.08/7.37	161 happens(c1,n2) # label(nothing_terminates_filling_2) # label(negated_conjecture).  [clausify(36)].
7.08/7.37	162 terminates(c1,filling,n2) # label(nothing_terminates_filling_2) # label(negated_conjecture).  [clausify(36)].
7.08/7.37	163 -less(A,B) | -initiates(C,D,B) | -less(B,E) | -happens(C,B) | less(A,f2(A,E,D)).  [resolve(37,a,38,a)].
7.08/7.37	164 -less(A,B) | -initiates(C,D,B) | -less(B,E) | -happens(C,B) | initiates(f1(A,E,D),D,f2(A,E,D)).  [resolve(37,a,39,a)].
7.08/7.37	165 -less(A,B) | -initiates(C,D,B) | -less(B,E) | -happens(C,B) | less(f2(A,E,D),E).  [resolve(37,a,40,a)].
7.08/7.37	166 -less(A,B) | -initiates(C,D,B) | -less(B,E) | -happens(C,B) | happens(f1(A,E,D),f2(A,E,D)).  [resolve(37,a,41,a)].
7.08/7.37	173 waterLevel(f11(A,B,C)) = B | waterLevel(D) != B | tapOn != A.  [resolve(52,b,51,c)].
7.08/7.37	176 less(A,f6(A,filling,plus(A,B))) | -happens(C,A) | -less(n0,B) | -initiates(C,filling,A) | holdsAt(waterLevel(D),plus(A,B)) | plus(E,B) != D | -holdsAt(waterLevel(E),A).  [resolve(54,d,55,c)].
7.08/7.37	177 less(A,f6(A,filling,plus(A,B))) | -happens(C,A) | -less(n0,B) | -initiates(C,filling,A) | holdsAt(waterLevel(D),plus(A,B)) | plus(B,E) != D | -holdsAt(waterLevel(E),A).  [copy(176),rewrite([139(13)])].
7.08/7.37	178 less(f6(A,filling,plus(A,B)),plus(A,B)) | -happens(C,A) | -less(n0,B) | -initiates(C,filling,A) | holdsAt(waterLevel(D),plus(A,B)) | plus(E,B) != D | -holdsAt(waterLevel(E),A).  [resolve(56,d,55,c)].
7.08/7.37	179 less(f6(A,filling,plus(A,B)),plus(A,B)) | -happens(C,A) | -less(n0,B) | -initiates(C,filling,A) | holdsAt(waterLevel(D),plus(A,B)) | plus(B,E) != D | -holdsAt(waterLevel(E),A).  [copy(178),rewrite([139(14)])].
7.08/7.37	182 happens(f5(A,filling,plus(A,B)),f6(A,filling,plus(A,B))) | -happens(C,A) | -less(n0,B) | -initiates(C,filling,A) | holdsAt(waterLevel(D),plus(A,B)) | plus(E,B) != D | -holdsAt(waterLevel(E),A).  [resolve(58,d,55,c)].
7.08/7.37	183 happens(f5(A,filling,plus(A,B)),f6(A,filling,plus(A,B))) | -happens(C,A) | -less(n0,B) | -initiates(C,filling,A) | holdsAt(waterLevel(D),plus(A,B)) | plus(B,E) != D | -holdsAt(waterLevel(E),A).  [copy(182),rewrite([139(16)])].
7.08/7.37	184 plus(n1,n0) = n1.  [back_rewrite(138),rewrite([139(3)])].
7.08/7.37	186 -less(A,A).  [factor(159,a,b)].
7.08/7.37	187 n0 != A | happens(tapOn,A).  [xx_res(70,a)].
7.08/7.37	195 initiates(A,filling,B) | tapOn != A.  [xx_res(110,b)].
7.08/7.37	197 less_or_equal(A,A).  [xx_res(118,a)].
7.08/7.37	206 n4 = A | less(n4,A) | less_or_equal(A,n3).  [resolve(158,a,157,b),flip(a)].
7.08/7.37	207 n3 = A | less(n3,A) | less_or_equal(A,n2).  [resolve(158,a,152,a),flip(a)].
7.08/7.37	208 n1 = A | less(n1,A) | less_or_equal(A,n0).  [resolve(158,a,147,b),flip(a)].
7.08/7.37	211 n2 = A | less(n2,A) | less_or_equal(A,n1).  [resolve(158,a,133,b),flip(a)].
7.08/7.37	212 n8 = A | less(n8,A) | less_or_equal(A,n7).  [resolve(158,a,130,a),flip(a)].
7.08/7.37	215 n9 = A | less(n9,A) | less_or_equal(A,n8).  [resolve(158,a,121,b),flip(a)].
7.08/7.37	216 A = B | less(B,A) | less_or_equal(A,B).  [resolve(158,a,117,a)].
7.08/7.37	219 n2 = n0 | holdsAt(waterLevel(n3),n2).  [resolve(161,a,77,c),flip(a)].
7.08/7.37	220 n2 = n0 | c1 = overflow.  [resolve(161,a,76,c),flip(a),flip(b)].
7.08/7.37	221 n2 = n0 | holdsAt(filling,n2).  [resolve(161,a,75,c),flip(a)].
7.08/7.37	226 -holdsAt(filling,n3).  [resolve(162,a,64,a),rewrite([139(7),135(7)]),unit_del(a,161)].
7.08/7.37	227 -releasedAt(filling,n3).  [resolve(162,a,59,b),rewrite([139(7),135(7)]),unit_del(a,161)].
7.08/7.37	234 waterLevel(f11(A,waterLevel(B),C)) = waterLevel(B) | tapOn != A.  [xx_res(173,b)].
7.08/7.37	237 happens(tapOn,n0).  [resolve(187,a,144,a(flip)),rewrite([144(4)])].
7.08/7.37	239 less(n2,n3).  [resolve(197,a,153,b)].
7.08/7.37	240 less(n0,n1).  [resolve(197,a,146,a)].
7.08/7.37	243 less(n1,n2).  [resolve(197,a,132,a)].
7.08/7.37	251 n2 != n3.  [resolve(239,a,160,b),flip(a)].
7.08/7.37	252 -less(n3,n2).  [resolve(239,a,159,b)].
7.08/7.37	253 less_or_equal(n2,n3).  [resolve(239,a,117,a)].
7.08/7.37	254 n0 != n1.  [resolve(240,a,160,b),flip(a)].
7.08/7.37	255 less_or_equal(n0,n1).  [resolve(240,a,117,a)].
7.08/7.37	262 n2 != n1.  [resolve(243,a,160,b)].
7.08/7.37	264 less_or_equal(n1,n2).  [resolve(243,a,117,a)].
7.08/7.37	276 less(n2,n4).  [resolve(253,a,156,a)].
7.08/7.37	277 less(n0,n2).  [resolve(255,a,132,a)].
7.08/7.37	281 less(n1,n3).  [resolve(264,a,153,b)].
7.08/7.37	287 n4 != n2.  [resolve(276,a,160,b)].
7.08/7.37	288 -less(n4,n2).  [resolve(276,a,159,b)].
7.08/7.37	289 less_or_equal(n2,n4).  [resolve(276,a,117,a)].
7.08/7.37	290 n2 != n0.  [resolve(277,a,160,b)].
7.08/7.37	291 less_or_equal(n0,n2).  [resolve(277,a,117,a)].
7.08/7.37	292 holdsAt(filling,n2).  [back_unit_del(221),unit_del(a,290)].
7.08/7.37	293 c1 = overflow.  [back_unit_del(220),unit_del(a,290)].
7.08/7.37	294 holdsAt(waterLevel(n3),n2).  [back_unit_del(219),unit_del(a,290)].
7.08/7.37	295 happens(overflow,n2).  [back_rewrite(161),rewrite([293(1)])].
7.08/7.37	303 n3 != n1.  [resolve(281,a,160,b)].
7.08/7.37	313 less(n2,n5).  [resolve(289,a,128,b)].
7.08/7.37	314 less(n0,n3).  [resolve(291,a,153,b)].
7.08/7.37	316 happens(f8(filling,n2),n2).  [resolve(292,a,68,c),rewrite([139(9),135(9),139(12),135(12)]),unit_del(b,227),unit_del(c,226)].
7.08/7.37	317 initiates(tapOn,filling,A).  [xx_res(195,b)].
7.08/7.37	327 less_or_equal(n2,n5).  [resolve(313,a,117,a)].
7.08/7.37	328 n3 != n0.  [resolve(314,a,160,b)].
7.08/7.37	329 less_or_equal(n0,n3).  [resolve(314,a,117,a)].
7.08/7.37	344 less(n2,n6).  [resolve(327,a,142,a)].
7.08/7.37	346 less(n0,n4).  [resolve(329,a,156,a)].
7.08/7.37	357 less_or_equal(n2,n6).  [resolve(344,a,117,a)].
7.08/7.37	358 n4 != n0.  [resolve(346,a,160,b)].
7.08/7.37	372 less(n2,n7).  [resolve(357,a,137,b)].
7.08/7.37	381 n7 != n2.  [resolve(372,a,160,b)].
7.08/7.37	383 less_or_equal(n2,n7).  [resolve(372,a,117,a)].
7.08/7.37	386 n4 = A | less(n4,A) | less(A,n3) | n3 = A.  [resolve(206,c,119,c)].
7.08/7.37	394 less(n2,n8).  [resolve(383,a,131,b)].
7.08/7.37	395 n3 = A | less(n3,A) | less(A,n2) | n2 = A.  [resolve(207,c,119,c)].
7.08/7.37	401 n1 = A | less(n1,A) | n0 = A.  [resolve(208,c,119,c),unit_del(c,122)].
7.08/7.37	402 n8 != n2.  [resolve(394,a,160,b)].
7.08/7.37	404 less_or_equal(n2,n8).  [resolve(394,a,117,a)].
7.08/7.37	411 less(n2,n9).  [resolve(404,a,120,a)].
7.08/7.37	414 n9 != n2.  [resolve(411,a,160,b)].
7.08/7.37	415 -less(n9,n2).  [resolve(411,a,159,b)].
7.08/7.37	424 n2 = A | less(n2,A) | less(A,n1) | n1 = A.  [resolve(211,c,119,c)].
7.08/7.37	432 n8 = A | less(n8,A) | less(A,n7) | n7 = A.  [resolve(212,c,119,c)].
7.08/7.37	451 initiates(A,B,n2) | waterLevel(n3) != B | overflow != A.  [resolve(294,a,108,b)].
7.08/7.37	453 -holdsAt(waterLevel(A),n2) | n3 = A.  [resolve(294,a,78,b),flip(b)].
7.08/7.37	463 happens(f5(A,filling,plus(A,B)),f6(A,filling,plus(A,B))) | -happens(tapOn,A) | -less(n0,B) | holdsAt(waterLevel(C),plus(A,B)) | plus(B,D) != C | -holdsAt(waterLevel(D),A).  [resolve(317,a,183,d)].
7.08/7.37	465 less(f6(A,filling,plus(A,B)),plus(A,B)) | -happens(tapOn,A) | -less(n0,B) | holdsAt(waterLevel(C),plus(A,B)) | plus(B,D) != C | -holdsAt(waterLevel(D),A).  [resolve(317,a,179,d)].
7.08/7.37	466 less(A,f6(A,filling,plus(A,B))) | -happens(tapOn,A) | -less(n0,B) | holdsAt(waterLevel(C),plus(A,B)) | plus(B,D) != C | -holdsAt(waterLevel(D),A).  [resolve(317,a,177,d)].
7.08/7.37	477 f8(filling,n2) = overflow.  [resolve(316,a,76,c),flip(a),flip(b),unit_del(a,290)].
7.08/7.37	478 n9 = A | less(n9,A) | less(A,n8) | n8 = A.  [resolve(215,c,119,c)].
7.08/7.37	484 n3 = A | less(n3,A) | less(A,n4).  [resolve(216,c,156,a),flip(a)].
7.08/7.37	488 n1 = A | less(n1,A) | less(A,n2).  [resolve(216,c,132,a),flip(a)].
7.08/7.37	508 n1 = A | n0 = A | -less(A,n1).  [resolve(401,b,159,b)].
7.08/7.37	514 n3 = A | less(n3,A) | less_or_equal(A,n4).  [resolve(484,c,117,a)].
7.08/7.37	607 n3 = A | less(n3,A) | less(A,n5).  [resolve(514,c,128,b)].
7.08/7.37	609 waterLevel(f11(tapOn,waterLevel(A),B)) = waterLevel(A).  [xx_res(234,b)].
7.08/7.37	643 n4 = A | less(n4,A) | n3 = A | -less(n3,A).  [resolve(386,c,159,b)].
7.08/7.37	651 n3 = A | less(n3,A) | n2 = A | -less(n2,A).  [resolve(395,c,159,b)].
7.08/7.37	699 n2 = A | less(n2,A) | n1 = A | n0 = A.  [resolve(424,c,508,c),merge(d)].
7.08/7.37	702 n8 = A | less(A,n7) | n7 = A | -less(A,n8).  [resolve(432,b,159,b)].
7.08/7.37	831 initiates(A,waterLevel(n3),n2) | overflow != A.  [xx_res(451,b)].
7.08/7.37	907 happens(f5(n0,filling,plus(A,n0)),f6(n0,filling,plus(A,n0))) | -less(n0,A) | holdsAt(waterLevel(B),plus(A,n0)) | plus(A,C) != B | -holdsAt(waterLevel(C),n0).  [resolve(463,b,237,a),rewrite([139(4),139(9),139(16)])].
7.08/7.37	920 less(f6(n0,filling,plus(A,n0)),plus(A,n0)) | -less(n0,A) | holdsAt(waterLevel(B),plus(A,n0)) | plus(A,C) != B | -holdsAt(waterLevel(C),n0).  [resolve(465,b,237,a),rewrite([139(4),139(7),139(13)])].
7.08/7.37	924 initiates(overflow,waterLevel(n3),n2).  [resolve(831,b,477,a(flip)),rewrite([477(3)])].
7.08/7.37	925 less(n0,f6(n0,filling,plus(A,n0))) | -less(n0,A) | holdsAt(waterLevel(B),plus(A,n0)) | plus(A,C) != B | -holdsAt(waterLevel(C),n0).  [resolve(466,b,237,a),rewrite([139(5),139(12)])].
7.08/7.37	926 -less(A,n2) | -less(n2,B) | happens(f1(A,B,waterLevel(n3)),f2(A,B,waterLevel(n3))).  [resolve(924,a,166,b),unit_del(c,295)].
7.08/7.37	927 -less(A,n2) | -less(n2,B) | less(f2(A,B,waterLevel(n3)),B).  [resolve(924,a,165,b),unit_del(c,295)].
7.08/7.37	928 -less(A,n2) | -less(n2,B) | initiates(f1(A,B,waterLevel(n3)),waterLevel(n3),f2(A,B,waterLevel(n3))).  [resolve(924,a,164,b),unit_del(c,295)].
7.08/7.37	929 -less(A,n2) | -less(n2,B) | less(A,f2(A,B,waterLevel(n3))).  [resolve(924,a,163,b),unit_del(c,295)].
7.08/7.37	1155 n3 = A | less(n3,A) | less_or_equal(A,n5).  [resolve(607,c,117,a)].
7.08/7.37	1156 f11(tapOn,waterLevel(A),B) = A.  [resolve(609,a,82,a)].
7.08/7.37	1258 n3 = A | less(n3,A) | less(A,n6).  [resolve(1155,c,142,a)].
7.08/7.37	1283 n3 = A | less(n3,A) | less_or_equal(A,n6).  [resolve(1258,c,117,a)].
7.08/7.37	1353 n3 = A | less(n3,A) | less(A,n7).  [resolve(1283,c,137,b)].
7.08/7.37	1610 n4 = A | less(n4,A) | n3 = A | less(A,n2) | n2 = A.  [resolve(643,d,395,b),merge(d)].
7.08/7.37	1736 n3 = A | less(n3,A) | n2 = A | less(A,n1) | n1 = A.  [resolve(651,d,424,b),merge(d)].
7.08/7.37	2163 n8 = A | less(A,n7) | n7 = A | n9 = A | less(n9,A).  [resolve(702,d,478,c),merge(f)].
7.08/7.37	2740 happens(f5(n0,filling,plus(A,n0)),f6(n0,filling,plus(A,n0))) | -less(n0,A) | holdsAt(waterLevel(B),plus(A,n0)) | plus(A,n0) != B.  [resolve(907,e,125,a)].
7.08/7.37	2742 less(f6(n0,filling,plus(A,n0)),plus(A,n0)) | -less(n0,A) | holdsAt(waterLevel(B),plus(A,n0)) | plus(A,n0) != B.  [resolve(920,e,125,a)].
7.08/7.37	2743 less(n0,f6(n0,filling,plus(A,n0))) | -less(n0,A) | holdsAt(waterLevel(B),plus(A,n0)) | plus(A,n0) != B.  [resolve(925,e,125,a)].
7.08/7.37	2753 -less(n2,A) | happens(f1(n0,A,waterLevel(n3)),f2(n0,A,waterLevel(n3))).  [resolve(926,a,277,a)].
7.08/7.37	2791 -less(n2,A) | less(f2(n1,A,waterLevel(n3)),A).  [resolve(927,a,488,b),flip(c),unit_del(c,262),unit_del(d,186)].
7.08/7.37	2857 -less(n2,A) | initiates(f1(n0,A,waterLevel(n3)),waterLevel(n3),f2(n0,A,waterLevel(n3))).  [resolve(928,a,277,a)].
7.08/7.37	2903 -less(n2,A) | less(n1,f2(n1,A,waterLevel(n3))).  [resolve(929,a,488,b),flip(c),unit_del(c,262),unit_del(d,186)].
7.08/7.37	2905 -less(n2,A) | less(n0,f2(n0,A,waterLevel(n3))).  [resolve(929,a,277,a)].
7.08/7.37	3045 less(f2(n1,n3,waterLevel(n3)),n3).  [resolve(2791,a,386,c),flip(d),unit_del(b,287),unit_del(c,288),unit_del(d,251)].
7.08/7.37	3125 f2(n1,n3,waterLevel(n3)) != n3.  [resolve(3045,a,160,b),flip(a)].
7.08/7.37	3126 -less(n3,f2(n1,n3,waterLevel(n3))).  [resolve(3045,a,159,b)].
7.08/7.37	3573 less(n1,f2(n1,n3,waterLevel(n3))).  [resolve(2903,a,386,c),flip(d),unit_del(b,287),unit_del(c,288),unit_del(d,251)].
7.08/7.37	3612 f2(n1,n3,waterLevel(n3)) != n1.  [resolve(3573,a,160,b)].
7.08/7.37	3613 -less(f2(n1,n3,waterLevel(n3)),n1).  [resolve(3573,a,159,b)].
7.08/7.37	3636 less(n0,f2(n0,n7,waterLevel(n3))).  [resolve(2905,a,1353,c),flip(b),unit_del(b,251),unit_del(c,252)].
7.08/7.37	3663 f2(n0,n7,waterLevel(n3)) != n0.  [resolve(3636,a,160,b)].
7.08/7.37	13133 f2(n1,n3,waterLevel(n3)) = n2.  [resolve(1736,b,3126,a),flip(a),flip(b),flip(d),unit_del(a,3125),unit_del(c,3613),unit_del(d,3612)].
7.08/7.37	16524 happens(f1(n0,n7,waterLevel(n3)),f2(n0,n7,waterLevel(n3))).  [resolve(2753,a,2163,b),unit_del(b,402),unit_del(c,381),unit_del(d,414),unit_del(e,415)].
7.08/7.37	16549 f1(n0,n7,waterLevel(n3)) = overflow.  [resolve(16524,a,76,c),flip(a),flip(b),unit_del(a,3663)].
7.08/7.37	18003 happens(f5(n0,filling,n2),f6(n0,filling,n2)) | holdsAt(waterLevel(A),n2) | n2 != A.  [resolve(2740,b,1610,d),rewrite([139(5),141(5),139(9),141(9),139(13),141(13),139(15),141(15)]),unit_del(d,358),unit_del(e,122),unit_del(f,328),unit_del(g,290)].
7.08/7.37	18024 less(f6(n0,filling,n1),n1) | holdsAt(waterLevel(A),n1) | n1 != A.  [resolve(2742,b,1736,d),rewrite([184(5),184(7),184(10),184(12)]),flip(g),unit_del(d,328),unit_del(e,122),unit_del(f,290),unit_del(g,254)].
7.08/7.37	18025 less(f6(n0,filling,n2),n2) | holdsAt(waterLevel(A),n2) | n2 != A.  [resolve(2742,b,1610,d),rewrite([139(5),141(5),139(7),141(7),139(10),141(10),139(12),141(12)]),unit_del(d,358),unit_del(e,122),unit_del(f,328),unit_del(g,290)].
7.08/7.37	18028 less(f6(n0,filling,n1),n1) | holdsAt(waterLevel(n1),n1).  [resolve(18024,c,1156,a(flip)),rewrite([1156(10)])].
7.08/7.37	18031 less(f6(n0,filling,n1),n1) | -holdsAt(waterLevel(A),n1) | n1 = A.  [resolve(18028,b,78,b),flip(c)].
7.08/7.37	18039 less(n0,f6(n0,filling,n1)) | holdsAt(waterLevel(A),n1) | n1 != A.  [resolve(2743,b,1736,d),rewrite([184(6),184(10),184(12)]),flip(g),unit_del(d,328),unit_del(e,122),unit_del(f,290),unit_del(g,254)].
7.08/7.37	18040 less(n0,f6(n0,filling,n2)) | holdsAt(waterLevel(A),n2) | n2 != A.  [resolve(2743,b,1610,d),rewrite([139(6),141(6),139(10),141(10),139(12),141(12)]),unit_del(d,358),unit_del(e,122),unit_del(f,328),unit_del(g,290)].
7.08/7.37	18041 less(f6(n0,filling,n2),n2) | holdsAt(waterLevel(n2),n2).  [resolve(18025,c,13133,a(flip)),rewrite([13133(11)])].
7.08/7.37	18048 less(f6(n0,filling,n2),n2).  [resolve(18041,b,453,a),flip(b),unit_del(b,251)].
7.08/7.37	18226 f6(n0,filling,n2) != n2.  [resolve(18048,a,160,b),flip(a)].
7.08/7.37	18227 -less(n2,f6(n0,filling,n2)).  [resolve(18048,a,159,b)].
7.08/7.37	18242 f6(n0,filling,n2) = n1 | f6(n0,filling,n2) = n0.  [resolve(18227,a,699,b),flip(a),flip(b),flip(c),unit_del(a,18226)].
7.08/7.37	18778 initiates(overflow,waterLevel(n3),f2(n0,n7,waterLevel(n3))).  [resolve(2857,a,2163,b),rewrite([16549(5)]),unit_del(b,402),unit_del(c,381),unit_del(d,414),unit_del(e,415)].
7.08/7.37	18791 waterLevel(f10(overflow,waterLevel(n3),f2(n0,n7,waterLevel(n3)))) = waterLevel(n3).  [resolve(18778,a,92,a),flip(c),flip(d),unit_del(a,81),unit_del(c,84),unit_del(d,113)].
7.08/7.37	18995 less(n0,f6(n0,filling,n1)) | holdsAt(waterLevel(n1),n1).  [resolve(18039,c,1156,a(flip)),rewrite([1156(10)])].
7.08/7.37	19000 less(n0,f6(n0,filling,n1)) | -holdsAt(waterLevel(A),n1) | n1 = A.  [resolve(18995,b,78,b),flip(c)].
7.08/7.37	19002 less(n0,f6(n0,filling,n2)) | holdsAt(waterLevel(n2),n2).  [resolve(18040,c,13133,a(flip)),rewrite([13133(11)])].
7.08/7.37	19009 less(n0,f6(n0,filling,n2)).  [resolve(19002,b,453,a),flip(b),unit_del(b,251)].
7.08/7.37	19012 f6(n0,filling,n2) = n1.  [para(18242(b,1),19009(a,2)),unit_del(b,186)].
7.08/7.37	19014 happens(f5(n0,filling,n2),n1) | holdsAt(waterLevel(A),n2) | n2 != A.  [back_rewrite(18003),rewrite([19012(8)])].
7.08/7.37	19062 f10(overflow,waterLevel(n3),f2(n0,n7,waterLevel(n3))) = n3.  [resolve(18791,a,82,a)].
7.08/7.37	19063 less(f6(n0,filling,n1),n1) | -holdsAt(waterLevel(n3),n1).  [para(18791(a,1),18031(b,1)),rewrite([19062(20)]),flip(c),unit_del(c,303)].
7.08/7.37	19090 happens(f5(n0,filling,n2),n1) | holdsAt(waterLevel(n2),n2).  [resolve(19014,c,13133,a(flip)),rewrite([13133(11)])].
7.08/7.37	19096 holdsAt(waterLevel(n2),n2) | holdsAt(waterLevel(n3),n1).  [resolve(19090,a,77,c),unit_del(b,254)].
7.08/7.37	19100 holdsAt(waterLevel(n3),n1).  [resolve(19096,a,453,a),flip(b),unit_del(b,251)].
7.08/7.37	19101 less(f6(n0,filling,n1),n1).  [back_unit_del(19063),unit_del(b,19100)].
7.08/7.37	19102 less(n0,f6(n0,filling,n1)).  [resolve(19100,a,19000,b),flip(b),unit_del(b,303)].
7.08/7.37	19117 f6(n0,filling,n1) = n1 | f6(n0,filling,n1) = n0.  [resolve(19101,a,508,c),flip(a),flip(b)].
7.08/7.37	19118 f6(n0,filling,n1) != n1.  [resolve(19101,a,160,b),flip(a)].
7.08/7.37	19122 f6(n0,filling,n1) = n0.  [back_unit_del(19117),unit_del(a,19118)].
7.08/7.37	19123 $F.  [back_rewrite(19102),rewrite([19122(5)]),unit_del(a,186)].
7.08/7.37	
7.08/7.37	% SZS output end Refutation
7.08/7.37	============================== end of proof ==========================
7.08/7.37	
7.08/7.37	============================== STATISTICS ============================
7.08/7.37	
7.08/7.37	Given=5836. Generated=268874. Kept=19053. proofs=1.
7.08/7.37	Usable=5113. Sos=9590. Demods=110. Limbo=1, Disabled=4489. Hints=0.
7.08/7.37	Megabytes=23.07.
7.08/7.37	User_CPU=6.20, System_CPU=0.17, Wall_clock=6.
7.08/7.37	
7.08/7.37	============================== end of statistics =====================
7.08/7.37	
7.08/7.37	============================== end of search =========================
7.08/7.37	
7.08/7.37	THEOREM PROVED
7.08/7.37	% SZS status Theorem
7.08/7.37	
7.08/7.37	Exiting with 1 proof.
7.08/7.37	
7.08/7.37	Process 31253 exit (max_proofs) Tue Jul 13 12:09:46 2021
7.08/7.37	Prover9 interrupted
7.08/7.37	EOF