0.04/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.04/0.12	% Command    : tptp2X_and_run_prover9 %d %s
0.12/0.33	% Computer   : n022.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   : 180
0.12/0.33	% DateTime   : Thu Aug 29 15:37:28 EDT 2019
0.12/0.33	% CPUTime    : 
0.42/1.00	============================== Prover9 ===============================
0.42/1.00	Prover9 (32) version 2009-11A, November 2009.
0.42/1.00	Process 14879 was started by sandbox on n022.cluster.edu,
0.42/1.00	Thu Aug 29 15:37:29 2019
0.42/1.00	The command was "/export/starexec/sandbox/solver/bin/prover9 -t 180 -f /tmp/Prover9_14726_n022.cluster.edu".
0.42/1.00	============================== end of head ===========================
0.42/1.00	
0.42/1.00	============================== INPUT =================================
0.42/1.00	
0.42/1.00	% Reading from file /tmp/Prover9_14726_n022.cluster.edu
0.42/1.00	
0.42/1.00	set(prolog_style_variables).
0.42/1.00	set(auto2).
0.42/1.00	    % set(auto2) -> set(auto).
0.42/1.00	    % set(auto) -> set(auto_inference).
0.42/1.00	    % set(auto) -> set(auto_setup).
0.42/1.00	    % set(auto_setup) -> set(predicate_elim).
0.42/1.00	    % set(auto_setup) -> assign(eq_defs, unfold).
0.42/1.00	    % set(auto) -> set(auto_limits).
0.42/1.00	    % set(auto_limits) -> assign(max_weight, "100.000").
0.42/1.00	    % set(auto_limits) -> assign(sos_limit, 20000).
0.42/1.00	    % set(auto) -> set(auto_denials).
0.42/1.00	    % set(auto) -> set(auto_process).
0.42/1.00	    % set(auto2) -> assign(new_constants, 1).
0.42/1.00	    % set(auto2) -> assign(fold_denial_max, 3).
0.42/1.00	    % set(auto2) -> assign(max_weight, "200.000").
0.42/1.00	    % set(auto2) -> assign(max_hours, 1).
0.42/1.00	    % assign(max_hours, 1) -> assign(max_seconds, 3600).
0.42/1.00	    % set(auto2) -> assign(max_seconds, 0).
0.42/1.00	    % set(auto2) -> assign(max_minutes, 5).
0.42/1.00	    % assign(max_minutes, 5) -> assign(max_seconds, 300).
0.42/1.00	    % set(auto2) -> set(sort_initial_sos).
0.42/1.00	    % set(auto2) -> assign(sos_limit, -1).
0.42/1.00	    % set(auto2) -> assign(lrs_ticks, 3000).
0.42/1.00	    % set(auto2) -> assign(max_megs, 400).
0.42/1.00	    % set(auto2) -> assign(stats, some).
0.42/1.00	    % set(auto2) -> clear(echo_input).
0.42/1.00	    % set(auto2) -> set(quiet).
0.42/1.00	    % set(auto2) -> clear(print_initial_clauses).
0.42/1.00	    % set(auto2) -> clear(print_given).
0.42/1.00	assign(lrs_ticks,-1).
0.42/1.00	assign(sos_limit,10000).
0.42/1.00	assign(order,kbo).
0.42/1.00	set(lex_order_vars).
0.42/1.00	clear(print_given).
0.42/1.00	
0.42/1.00	% formulas(sos).  % not echoed (42 formulas)
0.42/1.00	
0.42/1.00	============================== end of input ==========================
0.42/1.00	
0.42/1.00	% From the command line: assign(max_seconds, 180).
0.42/1.00	
0.42/1.00	============================== PROCESS NON-CLAUSAL FORMULAS ==========
0.42/1.00	
0.42/1.00	% Formulas that are not ordinary clauses:
0.42/1.00	1 (all A all B (element(A,powerset(B)) <-> subset(A,B))) # label(t3_subset) # label(axiom) # label(non_clause).  [assumption].
0.42/1.00	2 (all A -empty(powerset(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause).  [assumption].
0.42/1.00	3 (exists A (relation(A) & function(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause).  [assumption].
0.42/1.00	4 (exists A (relation(A) & relation_empty_yielding(A))) # label(rc3_relat_1) # label(axiom) # label(non_clause).  [assumption].
0.42/1.00	5 (all A (empty(A) -> relation(relation_rng(A)) & empty(relation_rng(A)))) # label(fc8_relat_1) # label(axiom) # label(non_clause).  [assumption].
0.42/1.00	6 (all A (relation(A) & -empty(A) -> -empty(relation_rng(A)))) # label(fc6_relat_1) # label(axiom) # label(non_clause).  [assumption].
0.42/1.00	7 (exists A (relation(A) & -empty(A))) # label(rc2_relat_1) # label(axiom) # label(non_clause).  [assumption].
0.42/1.00	8 (all A (empty(A) -> relation(relation_dom(A)) & empty(relation_dom(A)))) # label(fc7_relat_1) # label(axiom) # label(non_clause).  [assumption].
0.42/1.00	9 (all A all B all C -(element(B,powerset(C)) & empty(C) & in(A,B))) # label(t5_subset) # label(axiom) # label(non_clause).  [assumption].
0.42/1.00	10 (all A exists B element(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause).  [assumption].
0.42/1.00	11 (all A (empty(A) -> function(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause).  [assumption].
0.42/1.00	12 (all A all B (subset(singleton(A),singleton(B)) -> A = B)) # label(t6_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
0.42/1.00	13 (all A all B (in(A,B) -> -in(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause).  [assumption].
0.42/1.00	14 (all A all B -(empty(A) & B != A & empty(B))) # label(t8_boole) # label(axiom) # label(non_clause).  [assumption].
0.42/1.00	15 (all A (empty(A) -> relation(A))) # label(cc1_relat_1) # label(axiom) # label(non_clause).  [assumption].
0.42/1.00	16 (all A all B ((all C (A = C <-> in(C,B))) <-> singleton(A) = B)) # label(d1_tarski) # label(axiom) # label(non_clause).  [assumption].
0.42/1.00	17 (all A all B -(empty(B) & in(A,B))) # label(t7_boole) # label(axiom) # label(non_clause).  [assumption].
0.42/1.00	18 (all A (empty(A) -> empty_set = A)) # label(t6_boole) # label(axiom) # label(non_clause).  [assumption].
0.42/1.00	19 (all A all B (element(A,B) -> in(A,B) | empty(B))) # label(t2_subset) # label(axiom) # label(non_clause).  [assumption].
0.42/1.00	20 (all A exists B (empty(B) & element(B,powerset(A)))) # label(rc2_subset_1) # label(axiom) # label(non_clause).  [assumption].
0.42/1.00	21 (all A (relation(A) & -empty(A) -> -empty(relation_dom(A)))) # label(fc5_relat_1) # label(axiom) # label(non_clause).  [assumption].
0.42/1.00	22 (all A (relation(A) & empty(A) & function(A) -> function(A) & one_to_one(A) & relation(A))) # label(cc2_funct_1) # label(axiom) # label(non_clause).  [assumption].
0.42/1.00	23 (exists A -empty(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause).  [assumption].
0.42/1.00	24 (all A all B (in(A,B) -> element(A,B))) # label(t1_subset) # label(axiom) # label(non_clause).  [assumption].
0.42/1.00	25 (all A (function(A) & relation(A) -> (all B all C (relation_inverse_image(A,B) = C <-> (all D (in(D,C) <-> in(apply(A,D),B) & in(D,relation_dom(A)))))))) # label(d13_funct_1) # label(axiom) # label(non_clause).  [assumption].
0.42/1.00	26 (all A (-empty(A) -> (exists B (element(B,powerset(A)) & -empty(B))))) # label(rc1_subset_1) # label(axiom) # label(non_clause).  [assumption].
0.42/1.00	27 (all A all B all C (element(B,powerset(C)) & in(A,B) -> element(A,C))) # label(t4_subset) # label(axiom) # label(non_clause).  [assumption].
0.42/1.00	28 (exists A empty(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause).  [assumption].
0.42/1.00	29 (exists A (relation(A) & one_to_one(A) & function(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause).  [assumption].
0.42/1.00	30 (exists A (relation(A) & empty(A))) # label(rc1_relat_1) # label(axiom) # label(non_clause).  [assumption].
0.42/1.00	31 (all A -empty(singleton(A))) # label(fc2_subset_1) # label(axiom) # label(non_clause).  [assumption].
0.42/1.00	32 (all A (relation(A) & function(A) -> (one_to_one(A) <-> (all B all C (in(C,relation_dom(A)) & apply(A,C) = apply(A,B) & in(B,relation_dom(A)) -> B = C))))) # label(d8_funct_1) # label(axiom) # label(non_clause).  [assumption].
0.42/1.00	33 (all A (function(A) & relation(A) -> (all B ((all C (in(C,B) <-> (exists D (C = apply(A,D) & in(D,relation_dom(A)))))) <-> B = relation_rng(A))))) # label(d5_funct_1) # label(axiom) # label(non_clause).  [assumption].
0.42/1.00	34 (exists A (function(A) & empty(A) & relation(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause).  [assumption].
0.42/1.00	35 (all A all B subset(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause).  [assumption].
0.42/1.00	36 -(all A (relation(A) & function(A) -> ((all B -((all C singleton(C) != relation_inverse_image(A,singleton(B))) & in(B,relation_rng(A)))) <-> one_to_one(A)))) # label(t144_funct_1) # label(negated_conjecture) # label(non_clause).  [assumption].
0.42/1.00	
0.42/1.00	============================== end of process non-clausal formulas ===
0.42/1.00	
0.42/1.00	============================== PROCESS INITIAL CLAUSES ===============
0.42/1.00	
0.42/1.00	============================== PREDICATE ELIMINATION =================
0.42/1.00	37 -relation(A) | empty(A) | -empty(relation_rng(A)) # label(fc6_relat_1) # label(axiom).  [clausify(6)].
0.42/1.00	38 relation(c1) # label(rc1_funct_1) # label(axiom).  [clausify(3)].
0.42/1.00	39 relation(c2) # label(rc3_relat_1) # label(axiom).  [clausify(4)].
0.42/1.00	40 relation(c3) # label(rc2_relat_1) # label(axiom).  [clausify(7)].
0.42/1.00	41 relation(empty_set) # label(fc4_relat_1_AndLHS) # label(axiom).  [assumption].
0.42/1.00	42 relation(empty_set) # label(fc12_relat_1_AndLHS) # label(axiom).  [assumption].
0.42/1.00	43 relation(c6) # label(rc3_funct_1) # label(axiom).  [clausify(29)].
0.42/1.00	44 relation(c7) # label(rc1_relat_1) # label(axiom).  [clausify(30)].
0.42/1.00	45 relation(c8) # label(rc2_funct_1) # label(axiom).  [clausify(34)].
0.42/1.00	46 relation(c9) # label(t144_funct_1) # label(negated_conjecture).  [clausify(36)].
0.42/1.00	47 -empty(A) | relation(A) # label(cc1_relat_1) # label(axiom).  [clausify(15)].
0.42/1.00	48 -empty(A) | relation(relation_rng(A)) # label(fc8_relat_1) # label(axiom).  [clausify(5)].
0.42/1.00	49 -empty(A) | relation(relation_dom(A)) # label(fc7_relat_1) # label(axiom).  [clausify(8)].
0.42/1.00	Derived: empty(c1) | -empty(relation_rng(c1)).  [resolve(37,a,38,a)].
0.42/1.00	Derived: empty(c2) | -empty(relation_rng(c2)).  [resolve(37,a,39,a)].
0.42/1.00	Derived: empty(c3) | -empty(relation_rng(c3)).  [resolve(37,a,40,a)].
0.42/1.00	Derived: empty(empty_set) | -empty(relation_rng(empty_set)).  [resolve(37,a,41,a)].
0.42/1.00	Derived: empty(c6) | -empty(relation_rng(c6)).  [resolve(37,a,43,a)].
0.42/1.00	Derived: empty(c7) | -empty(relation_rng(c7)).  [resolve(37,a,44,a)].
0.42/1.00	Derived: empty(c8) | -empty(relation_rng(c8)).  [resolve(37,a,45,a)].
0.42/1.00	Derived: empty(c9) | -empty(relation_rng(c9)).  [resolve(37,a,46,a)].
0.42/1.00	Derived: empty(relation_rng(A)) | -empty(relation_rng(relation_rng(A))) | -empty(A).  [resolve(37,a,48,b)].
0.42/1.00	Derived: empty(relation_dom(A)) | -empty(relation_rng(relation_dom(A))) | -empty(A).  [resolve(37,a,49,b)].
0.42/1.00	50 -relation(A) | empty(A) | -empty(relation_dom(A)) # label(fc5_relat_1) # label(axiom).  [clausify(21)].
0.42/1.00	Derived: empty(c1) | -empty(relation_dom(c1)).  [resolve(50,a,38,a)].
0.42/1.00	Derived: empty(c2) | -empty(relation_dom(c2)).  [resolve(50,a,39,a)].
0.42/1.00	Derived: empty(c3) | -empty(relation_dom(c3)).  [resolve(50,a,40,a)].
0.42/1.00	Derived: empty(empty_set) | -empty(relation_dom(empty_set)).  [resolve(50,a,41,a)].
0.42/1.00	Derived: empty(c6) | -empty(relation_dom(c6)).  [resolve(50,a,43,a)].
0.42/1.00	Derived: empty(c7) | -empty(relation_dom(c7)).  [resolve(50,a,44,a)].
0.42/1.00	Derived: empty(c8) | -empty(relation_dom(c8)).  [resolve(50,a,45,a)].
0.42/1.00	Derived: empty(c9) | -empty(relation_dom(c9)).  [resolve(50,a,46,a)].
0.42/1.00	Derived: empty(relation_rng(A)) | -empty(relation_dom(relation_rng(A))) | -empty(A).  [resolve(50,a,48,b)].
0.42/1.00	Derived: empty(relation_dom(A)) | -empty(relation_dom(relation_dom(A))) | -empty(A).  [resolve(50,a,49,b)].
0.42/1.00	51 -relation(A) | -empty(A) | -function(A) | one_to_one(A) # label(cc2_funct_1) # label(axiom).  [clausify(22)].
0.42/1.00	Derived: -empty(c1) | -function(c1) | one_to_one(c1).  [resolve(51,a,38,a)].
0.42/1.00	Derived: -empty(c2) | -function(c2) | one_to_one(c2).  [resolve(51,a,39,a)].
0.42/1.00	Derived: -empty(c3) | -function(c3) | one_to_one(c3).  [resolve(51,a,40,a)].
0.42/1.00	Derived: -empty(empty_set) | -function(empty_set) | one_to_one(empty_set).  [resolve(51,a,41,a)].
0.42/1.00	Derived: -empty(c6) | -function(c6) | one_to_one(c6).  [resolve(51,a,43,a)].
0.42/1.00	Derived: -empty(c7) | -function(c7) | one_to_one(c7).  [resolve(51,a,44,a)].
0.42/1.00	Derived: -empty(c8) | -function(c8) | one_to_one(c8).  [resolve(51,a,45,a)].
0.42/1.00	Derived: -empty(c9) | -function(c9) | one_to_one(c9).  [resolve(51,a,46,a)].
0.42/1.00	Derived: -empty(A) | -function(A) | one_to_one(A) | -empty(A).  [resolve(51,a,47,b)].
0.42/1.00	52 -relation(A) | -function(A) | one_to_one(A) | in(f7(A),relation_dom(A)) # label(d8_funct_1) # label(axiom).  [clausify(32)].
0.42/1.00	Derived: -function(c1) | one_to_one(c1) | in(f7(c1),relation_dom(c1)).  [resolve(52,a,38,a)].
0.42/1.00	Derived: -function(c2) | one_to_one(c2) | in(f7(c2),relation_dom(c2)).  [resolve(52,a,39,a)].
0.42/1.00	Derived: -function(c3) | one_to_one(c3) | in(f7(c3),relation_dom(c3)).  [resolve(52,a,40,a)].
0.42/1.00	Derived: -function(empty_set) | one_to_one(empty_set) | in(f7(empty_set),relation_dom(empty_set)).  [resolve(52,a,41,a)].
0.42/1.00	Derived: -function(c6) | one_to_one(c6) | in(f7(c6),relation_dom(c6)).  [resolve(52,a,43,a)].
0.42/1.00	Derived: -function(c7) | one_to_one(c7) | in(f7(c7),relation_dom(c7)).  [resolve(52,a,44,a)].
0.42/1.00	Derived: -function(c8) | one_to_one(c8) | in(f7(c8),relation_dom(c8)).  [resolve(52,a,45,a)].
0.42/1.00	Derived: -function(c9) | one_to_one(c9) | in(f7(c9),relation_dom(c9)).  [resolve(52,a,46,a)].
0.42/1.00	Derived: -function(relation_rng(A)) | one_to_one(relation_rng(A)) | in(f7(relation_rng(A)),relation_dom(relation_rng(A))) | -empty(A).  [resolve(52,a,48,b)].
0.42/1.00	Derived: -function(relation_dom(A)) | one_to_one(relation_dom(A)) | in(f7(relation_dom(A)),relation_dom(relation_dom(A))) | -empty(A).  [resolve(52,a,49,b)].
0.42/1.00	53 -relation(A) | -function(A) | one_to_one(A) | in(f6(A),relation_dom(A)) # label(d8_funct_1) # label(axiom).  [clausify(32)].
0.42/1.00	Derived: -function(c1) | one_to_one(c1) | in(f6(c1),relation_dom(c1)).  [resolve(53,a,38,a)].
0.42/1.00	Derived: -function(c2) | one_to_one(c2) | in(f6(c2),relation_dom(c2)).  [resolve(53,a,39,a)].
0.42/1.00	Derived: -function(c3) | one_to_one(c3) | in(f6(c3),relation_dom(c3)).  [resolve(53,a,40,a)].
0.42/1.00	Derived: -function(empty_set) | one_to_one(empty_set) | in(f6(empty_set),relation_dom(empty_set)).  [resolve(53,a,41,a)].
0.42/1.00	Derived: -function(c6) | one_to_one(c6) | in(f6(c6),relation_dom(c6)).  [resolve(53,a,43,a)].
0.42/1.00	Derived: -function(c7) | one_to_one(c7) | in(f6(c7),relation_dom(c7)).  [resolve(53,a,44,a)].
0.42/1.00	Derived: -function(c8) | one_to_one(c8) | in(f6(c8),relation_dom(c8)).  [resolve(53,a,45,a)].
0.42/1.00	Derived: -function(c9) | one_to_one(c9) | in(f6(c9),relation_dom(c9)).  [resolve(53,a,46,a)].
0.42/1.00	Derived: -function(relation_rng(A)) | one_to_one(relation_rng(A)) | in(f6(relation_rng(A)),relation_dom(relation_rng(A))) | -empty(A).  [resolve(53,a,48,b)].
0.42/1.00	Derived: -function(relation_dom(A)) | one_to_one(relation_dom(A)) | in(f6(relation_dom(A)),relation_dom(relation_dom(A))) | -empty(A).  [resolve(53,a,49,b)].
0.42/1.00	54 -relation(A) | -function(A) | one_to_one(A) | f7(A) != f6(A) # label(d8_funct_1) # label(axiom).  [clausify(32)].
0.42/1.00	Derived: -function(c1) | one_to_one(c1) | f7(c1) != f6(c1).  [resolve(54,a,38,a)].
0.42/1.00	Derived: -function(c2) | one_to_one(c2) | f7(c2) != f6(c2).  [resolve(54,a,39,a)].
0.42/1.00	Derived: -function(c3) | one_to_one(c3) | f7(c3) != f6(c3).  [resolve(54,a,40,a)].
0.42/1.00	Derived: -function(empty_set) | one_to_one(empty_set) | f7(empty_set) != f6(empty_set).  [resolve(54,a,41,a)].
0.42/1.00	Derived: -function(c6) | one_to_one(c6) | f7(c6) != f6(c6).  [resolve(54,a,43,a)].
0.42/1.00	Derived: -function(c7) | one_to_one(c7) | f7(c7) != f6(c7).  [resolve(54,a,44,a)].
0.42/1.00	Derived: -function(c8) | one_to_one(c8) | f7(c8) != f6(c8).  [resolve(54,a,45,a)].
0.42/1.00	Derived: -function(c9) | one_to_one(c9) | f7(c9) != f6(c9).  [resolve(54,a,46,a)].
0.42/1.00	Derived: -function(relation_rng(A)) | one_to_one(relation_rng(A)) | f7(relation_rng(A)) != f6(relation_rng(A)) | -empty(A).  [resolve(54,a,48,b)].
0.42/1.00	Derived: -function(relation_dom(A)) | one_to_one(relation_dom(A)) | f7(relation_dom(A)) != f6(relation_dom(A)) | -empty(A).  [resolve(54,a,49,b)].
0.42/1.00	55 -relation(A) | -function(A) | one_to_one(A) | apply(A,f7(A)) = apply(A,f6(A)) # label(d8_funct_1) # label(axiom).  [clausify(32)].
0.42/1.00	Derived: -function(c1) | one_to_one(c1) | apply(c1,f7(c1)) = apply(c1,f6(c1)).  [resolve(55,a,38,a)].
0.42/1.00	Derived: -function(c2) | one_to_one(c2) | apply(c2,f7(c2)) = apply(c2,f6(c2)).  [resolve(55,a,39,a)].
0.42/1.00	Derived: -function(c3) | one_to_one(c3) | apply(c3,f7(c3)) = apply(c3,f6(c3)).  [resolve(55,a,40,a)].
0.42/1.00	Derived: -function(empty_set) | one_to_one(empty_set) | apply(empty_set,f7(empty_set)) = apply(empty_set,f6(empty_set)).  [resolve(55,a,41,a)].
0.42/1.00	Derived: -function(c6) | one_to_one(c6) | apply(c6,f7(c6)) = apply(c6,f6(c6)).  [resolve(55,a,43,a)].
0.42/1.00	Derived: -function(c7) | one_to_one(c7) | apply(c7,f7(c7)) = apply(c7,f6(c7)).  [resolve(55,a,44,a)].
0.42/1.00	Derived: -function(c8) | one_to_one(c8) | apply(c8,f7(c8)) = apply(c8,f6(c8)).  [resolve(55,a,45,a)].
0.42/1.00	Derived: -function(c9) | one_to_one(c9) | apply(c9,f7(c9)) = apply(c9,f6(c9)).  [resolve(55,a,46,a)].
0.42/1.00	Derived: -function(relation_rng(A)) | one_to_one(relation_rng(A)) | apply(relation_rng(A),f7(relation_rng(A))) = apply(relation_rng(A),f6(relation_rng(A))) | -empty(A).  [resolve(55,a,48,b)].
0.42/1.00	Derived: -function(relation_dom(A)) | one_to_one(relation_dom(A)) | apply(relation_dom(A),f7(relation_dom(A))) = apply(relation_dom(A),f6(relation_dom(A))) | -empty(A).  [resolve(55,a,49,b)].
0.42/1.00	56 -function(A) | -relation(A) | relation_inverse_image(A,B) != C | -in(D,C) | in(D,relation_dom(A)) # label(d13_funct_1) # label(axiom).  [clausify(25)].
0.42/1.00	Derived: -function(c1) | relation_inverse_image(c1,A) != B | -in(C,B) | in(C,relation_dom(c1)).  [resolve(56,b,38,a)].
0.42/1.00	Derived: -function(c2) | relation_inverse_image(c2,A) != B | -in(C,B) | in(C,relation_dom(c2)).  [resolve(56,b,39,a)].
0.42/1.00	Derived: -function(c3) | relation_inverse_image(c3,A) != B | -in(C,B) | in(C,relation_dom(c3)).  [resolve(56,b,40,a)].
0.42/1.00	Derived: -function(empty_set) | relation_inverse_image(empty_set,A) != B | -in(C,B) | in(C,relation_dom(empty_set)).  [resolve(56,b,41,a)].
0.42/1.00	Derived: -function(c6) | relation_inverse_image(c6,A) != B | -in(C,B) | in(C,relation_dom(c6)).  [resolve(56,b,43,a)].
0.42/1.00	Derived: -function(c7) | relation_inverse_image(c7,A) != B | -in(C,B) | in(C,relation_dom(c7)).  [resolve(56,b,44,a)].
0.42/1.00	Derived: -function(c8) | relation_inverse_image(c8,A) != B | -in(C,B) | in(C,relation_dom(c8)).  [resolve(56,b,45,a)].
0.42/1.00	Derived: -function(c9) | relation_inverse_image(c9,A) != B | -in(C,B) | in(C,relation_dom(c9)).  [resolve(56,b,46,a)].
0.42/1.00	Derived: -function(A) | relation_inverse_image(A,B) != C | -in(D,C) | in(D,relation_dom(A)) | -empty(A).  [resolve(56,b,47,b)].
0.42/1.00	Derived: -function(relation_rng(A)) | relation_inverse_image(relation_rng(A),B) != C | -in(D,C) | in(D,relation_dom(relation_rng(A))) | -empty(A).  [resolve(56,b,48,b)].
0.42/1.00	Derived: -function(relation_dom(A)) | relation_inverse_image(relation_dom(A),B) != C | -in(D,C) | in(D,relation_dom(relation_dom(A))) | -empty(A).  [resolve(56,b,49,b)].
0.42/1.00	57 -function(A) | -relation(A) | relation_inverse_image(A,B) != C | -in(D,C) | in(apply(A,D),B) # label(d13_funct_1) # label(axiom).  [clausify(25)].
0.42/1.00	Derived: -function(c1) | relation_inverse_image(c1,A) != B | -in(C,B) | in(apply(c1,C),A).  [resolve(57,b,38,a)].
0.42/1.00	Derived: -function(c2) | relation_inverse_image(c2,A) != B | -in(C,B) | in(apply(c2,C),A).  [resolve(57,b,39,a)].
0.42/1.00	Derived: -function(c3) | relation_inverse_image(c3,A) != B | -in(C,B) | in(apply(c3,C),A).  [resolve(57,b,40,a)].
0.42/1.00	Derived: -function(empty_set) | relation_inverse_image(empty_set,A) != B | -in(C,B) | in(apply(empty_set,C),A).  [resolve(57,b,41,a)].
0.42/1.00	Derived: -function(c6) | relation_inverse_image(c6,A) != B | -in(C,B) | in(apply(c6,C),A).  [resolve(57,b,43,a)].
0.42/1.00	Derived: -function(c7) | relation_inverse_image(c7,A) != B | -in(C,B) | in(apply(c7,C),A).  [resolve(57,b,44,a)].
0.42/1.00	Derived: -function(c8) | relation_inverse_image(c8,A) != B | -in(C,B) | in(apply(c8,C),A).  [resolve(57,b,45,a)].
0.42/1.00	Derived: -function(c9) | relation_inverse_image(c9,A) != B | -in(C,B) | in(apply(c9,C),A).  [resolve(57,b,46,a)].
0.42/1.00	Derived: -function(A) | relation_inverse_image(A,B) != C | -in(D,C) | in(apply(A,D),B) | -empty(A).  [resolve(57,b,47,b)].
0.42/1.00	Derived: -function(relation_rng(A)) | relation_inverse_image(relation_rng(A),B) != C | -in(D,C) | in(apply(relation_rng(A),D),B) | -empty(A).  [resolve(57,b,48,b)].
0.42/1.00	Derived: -function(relation_dom(A)) | relation_inverse_image(relation_dom(A),B) != C | -in(D,C) | in(apply(relation_dom(A),D),B) | -empty(A).  [resolve(57,b,49,b)].
0.42/1.00	58 -function(A) | -relation(A) | -in(B,C) | in(f10(A,C,B),relation_dom(A)) | relation_rng(A) != C # label(d5_funct_1) # label(axiom).  [clausify(33)].
0.42/1.00	Derived: -function(c1) | -in(A,B) | in(f10(c1,B,A),relation_dom(c1)) | relation_rng(c1) != B.  [resolve(58,b,38,a)].
0.42/1.00	Derived: -function(c2) | -in(A,B) | in(f10(c2,B,A),relation_dom(c2)) | relation_rng(c2) != B.  [resolve(58,b,39,a)].
0.42/1.00	Derived: -function(c3) | -in(A,B) | in(f10(c3,B,A),relation_dom(c3)) | relation_rng(c3) != B.  [resolve(58,b,40,a)].
0.42/1.00	Derived: -function(empty_set) | -in(A,B) | in(f10(empty_set,B,A),relation_dom(empty_set)) | relation_rng(empty_set) != B.  [resolve(58,b,41,a)].
0.42/1.00	Derived: -function(c6) | -in(A,B) | in(f10(c6,B,A),relation_dom(c6)) | relation_rng(c6) != B.  [resolve(58,b,43,a)].
0.42/1.00	Derived: -function(c7) | -in(A,B) | in(f10(c7,B,A),relation_dom(c7)) | relation_rng(c7) != B.  [resolve(58,b,44,a)].
0.42/1.00	Derived: -function(c8) | -in(A,B) | in(f10(c8,B,A),relation_dom(c8)) | relation_rng(c8) != B.  [resolve(58,b,45,a)].
0.42/1.00	Derived: -function(c9) | -in(A,B) | in(f10(c9,B,A),relation_dom(c9)) | relation_rng(c9) != B.  [resolve(58,b,46,a)].
0.42/1.00	Derived: -function(A) | -in(B,C) | in(f10(A,C,B),relation_dom(A)) | relation_rng(A) != C | -empty(A).  [resolve(58,b,47,b)].
0.42/1.00	Derived: -function(relation_rng(A)) | -in(B,C) | in(f10(relation_rng(A),C,B),relation_dom(relation_rng(A))) | relation_rng(relation_rng(A)) != C | -empty(A).  [resolve(58,b,48,b)].
0.42/1.00	Derived: -function(relation_dom(A)) | -in(B,C) | in(f10(relation_dom(A),C,B),relation_dom(relation_dom(A))) | relation_rng(relation_dom(A)) != C | -empty(A).  [resolve(58,b,49,b)].
0.42/1.00	59 -function(A) | -relation(A) | in(f8(A,B),B) | in(f9(A,B),relation_dom(A)) | relation_rng(A) = B # label(d5_funct_1) # label(axiom).  [clausify(33)].
0.42/1.00	Derived: -function(c1) | in(f8(c1,A),A) | in(f9(c1,A),relation_dom(c1)) | relation_rng(c1) = A.  [resolve(59,b,38,a)].
0.42/1.00	Derived: -function(c2) | in(f8(c2,A),A) | in(f9(c2,A),relation_dom(c2)) | relation_rng(c2) = A.  [resolve(59,b,39,a)].
0.42/1.00	Derived: -function(c3) | in(f8(c3,A),A) | in(f9(c3,A),relation_dom(c3)) | relation_rng(c3) = A.  [resolve(59,b,40,a)].
0.42/1.00	Derived: -function(empty_set) | in(f8(empty_set,A),A) | in(f9(empty_set,A),relation_dom(empty_set)) | relation_rng(empty_set) = A.  [resolve(59,b,41,a)].
0.42/1.00	Derived: -function(c6) | in(f8(c6,A),A) | in(f9(c6,A),relation_dom(c6)) | relation_rng(c6) = A.  [resolve(59,b,43,a)].
0.42/1.00	Derived: -function(c7) | in(f8(c7,A),A) | in(f9(c7,A),relation_dom(c7)) | relation_rng(c7) = A.  [resolve(59,b,44,a)].
0.42/1.00	Derived: -function(c8) | in(f8(c8,A),A) | in(f9(c8,A),relation_dom(c8)) | relation_rng(c8) = A.  [resolve(59,b,45,a)].
0.42/1.00	Derived: -function(c9) | in(f8(c9,A),A) | in(f9(c9,A),relation_dom(c9)) | relation_rng(c9) = A.  [resolve(59,b,46,a)].
0.42/1.00	Derived: -function(A) | in(f8(A,B),B) | in(f9(A,B),relation_dom(A)) | relation_rng(A) = B | -empty(A).  [resolve(59,b,47,b)].
0.42/1.00	Derived: -function(relation_rng(A)) | in(f8(relation_rng(A),B),B) | in(f9(relation_rng(A),B),relation_dom(relation_rng(A))) | relation_rng(relation_rng(A)) = B | -empty(A).  [resolve(59,b,48,b)].
0.42/1.00	Derived: -function(relation_dom(A)) | in(f8(relation_dom(A),B),B) | in(f9(relation_dom(A),B),relation_dom(relation_dom(A))) | relation_rng(relation_dom(A)) = B | -empty(A).  [resolve(59,b,49,b)].
0.42/1.00	60 -function(A) | -relation(A) | -in(B,C) | apply(A,f10(A,C,B)) = B | relation_rng(A) != C # label(d5_funct_1) # label(axiom).  [clausify(33)].
0.42/1.00	Derived: -function(c1) | -in(A,B) | apply(c1,f10(c1,B,A)) = A | relation_rng(c1) != B.  [resolve(60,b,38,a)].
0.42/1.00	Derived: -function(c2) | -in(A,B) | apply(c2,f10(c2,B,A)) = A | relation_rng(c2) != B.  [resolve(60,b,39,a)].
0.42/1.00	Derived: -function(c3) | -in(A,B) | apply(c3,f10(c3,B,A)) = A | relation_rng(c3) != B.  [resolve(60,b,40,a)].
0.42/1.00	Derived: -function(empty_set) | -in(A,B) | apply(empty_set,f10(empty_set,B,A)) = A | relation_rng(empty_set) != B.  [resolve(60,b,41,a)].
0.42/1.00	Derived: -function(c6) | -in(A,B) | apply(c6,f10(c6,B,A)) = A | relation_rng(c6) != B.  [resolve(60,b,43,a)].
0.42/1.00	Derived: -function(c7) | -in(A,B) | apply(c7,f10(c7,B,A)) = A | relation_rng(c7) != B.  [resolve(60,b,44,a)].
0.42/1.00	Derived: -function(c8) | -in(A,B) | apply(c8,f10(c8,B,A)) = A | relation_rng(c8) != B.  [resolve(60,b,45,a)].
0.42/1.00	Derived: -function(c9) | -in(A,B) | apply(c9,f10(c9,B,A)) = A | relation_rng(c9) != B.  [resolve(60,b,46,a)].
0.42/1.00	Derived: -function(A) | -in(B,C) | apply(A,f10(A,C,B)) = B | relation_rng(A) != C | -empty(A).  [resolve(60,b,47,b)].
0.42/1.00	Derived: -function(relation_rng(A)) | -in(B,C) | apply(relation_rng(A),f10(relation_rng(A),C,B)) = B | relation_rng(relation_rng(A)) != C | -empty(A).  [resolve(60,b,48,b)].
0.42/1.00	Derived: -function(relation_dom(A)) | -in(B,C) | apply(relation_dom(A),f10(relation_dom(A),C,B)) = B | relation_rng(relation_dom(A)) != C | -empty(A).  [resolve(60,b,49,b)].
0.42/1.00	61 -function(A) | -relation(A) | in(B,C) | apply(A,D) != B | -in(D,relation_dom(A)) | relation_rng(A) != C # label(d5_funct_1) # label(axiom).  [clausify(33)].
0.42/1.00	Derived: -function(c1) | in(A,B) | apply(c1,C) != A | -in(C,relation_dom(c1)) | relation_rng(c1) != B.  [resolve(61,b,38,a)].
0.42/1.00	Derived: -function(c2) | in(A,B) | apply(c2,C) != A | -in(C,relation_dom(c2)) | relation_rng(c2) != B.  [resolve(61,b,39,a)].
0.42/1.00	Derived: -function(c3) | in(A,B) | apply(c3,C) != A | -in(C,relation_dom(c3)) | relation_rng(c3) != B.  [resolve(61,b,40,a)].
0.42/1.00	Derived: -function(empty_set) | in(A,B) | apply(empty_set,C) != A | -in(C,relation_dom(empty_set)) | relation_rng(empty_set) != B.  [resolve(61,b,41,a)].
0.42/1.00	Derived: -function(c6) | in(A,B) | apply(c6,C) != A | -in(C,relation_dom(c6)) | relation_rng(c6) != B.  [resolve(61,b,43,a)].
0.42/1.00	Derived: -function(c7) | in(A,B) | apply(c7,C) != A | -in(C,relation_dom(c7)) | relation_rng(c7) != B.  [resolve(61,b,44,a)].
0.42/1.00	Derived: -function(c8) | in(A,B) | apply(c8,C) != A | -in(C,relation_dom(c8)) | relation_rng(c8) != B.  [resolve(61,b,45,a)].
0.42/1.00	Derived: -function(c9) | in(A,B) | apply(c9,C) != A | -in(C,relation_dom(c9)) | relation_rng(c9) != B.  [resolve(61,b,46,a)].
0.42/1.00	Derived: -function(A) | in(B,C) | apply(A,D) != B | -in(D,relation_dom(A)) | relation_rng(A) != C | -empty(A).  [resolve(61,b,47,b)].
0.42/1.00	Derived: -function(relation_rng(A)) | in(B,C) | apply(relation_rng(A),D) != B | -in(D,relation_dom(relation_rng(A))) | relation_rng(relation_rng(A)) != C | -empty(A).  [resolve(61,b,48,b)].
0.42/1.00	Derived: -function(relation_dom(A)) | in(B,C) | apply(relation_dom(A),D) != B | -in(D,relation_dom(relation_dom(A))) | relation_rng(relation_dom(A)) != C | -empty(A).  [resolve(61,b,49,b)].
0.42/1.00	62 -function(A) | -relation(A) | relation_inverse_image(A,B) != C | in(D,C) | -in(apply(A,D),B) | -in(D,relation_dom(A)) # label(d13_funct_1) # label(axiom).  [clausify(25)].
0.42/1.00	Derived: -function(c1) | relation_inverse_image(c1,A) != B | in(C,B) | -in(apply(c1,C),A) | -in(C,relation_dom(c1)).  [resolve(62,b,38,a)].
0.42/1.00	Derived: -function(c2) | relation_inverse_image(c2,A) != B | in(C,B) | -in(apply(c2,C),A) | -in(C,relation_dom(c2)).  [resolve(62,b,39,a)].
0.42/1.00	Derived: -function(c3) | relation_inverse_image(c3,A) != B | in(C,B) | -in(apply(c3,C),A) | -in(C,relation_dom(c3)).  [resolve(62,b,40,a)].
0.42/1.00	Derived: -function(empty_set) | relation_inverse_image(empty_set,A) != B | in(C,B) | -in(apply(empty_set,C),A) | -in(C,relation_dom(empty_set)).  [resolve(62,b,41,a)].
0.42/1.00	Derived: -function(c6) | relation_inverse_image(c6,A) != B | in(C,B) | -in(apply(c6,C),A) | -in(C,relation_dom(c6)).  [resolve(62,b,43,a)].
0.42/1.00	Derived: -function(c7) | relation_inverse_image(c7,A) != B | in(C,B) | -in(apply(c7,C),A) | -in(C,relation_dom(c7)).  [resolve(62,b,44,a)].
0.42/1.00	Derived: -function(c8) | relation_inverse_image(c8,A) != B | in(C,B) | -in(apply(c8,C),A) | -in(C,relation_dom(c8)).  [resolve(62,b,45,a)].
0.42/1.00	Derived: -function(c9) | relation_inverse_image(c9,A) != B | in(C,B) | -in(apply(c9,C),A) | -in(C,relation_dom(c9)).  [resolve(62,b,46,a)].
0.42/1.00	Derived: -function(A) | relation_inverse_image(A,B) != C | in(D,C) | -in(apply(A,D),B) | -in(D,relation_dom(A)) | -empty(A).  [resolve(62,b,47,b)].
0.42/1.00	Derived: -function(relation_rng(A)) | relation_inverse_image(relation_rng(A),B) != C | in(D,C) | -in(apply(relation_rng(A),D),B) | -in(D,relation_dom(relation_rng(A))) | -empty(A).  [resolve(62,b,48,b)].
0.42/1.00	Derived: -function(relation_dom(A)) | relation_inverse_image(relation_dom(A),B) != C | in(D,C) | -in(apply(relation_dom(A),D),B) | -in(D,relation_dom(relation_dom(A))) | -empty(A).  [resolve(62,b,49,b)].
0.42/1.00	63 -function(A) | -relation(A) | relation_inverse_image(A,B) = C | in(f4(A,B,C),C) | in(f4(A,B,C),relation_dom(A)) # label(d13_funct_1) # label(axiom).  [clausify(25)].
0.42/1.00	Derived: -function(c1) | relation_inverse_image(c1,A) = B | in(f4(c1,A,B),B) | in(f4(c1,A,B),relation_dom(c1)).  [resolve(63,b,38,a)].
0.42/1.00	Derived: -function(c2) | relation_inverse_image(c2,A) = B | in(f4(c2,A,B),B) | in(f4(c2,A,B),relation_dom(c2)).  [resolve(63,b,39,a)].
0.42/1.00	Derived: -function(c3) | relation_inverse_image(c3,A) = B | in(f4(c3,A,B),B) | in(f4(c3,A,B),relation_dom(c3)).  [resolve(63,b,40,a)].
0.42/1.00	Derived: -function(empty_set) | relation_inverse_image(empty_set,A) = B | in(f4(empty_set,A,B),B) | in(f4(empty_set,A,B),relation_dom(empty_set)).  [resolve(63,b,41,a)].
0.42/1.00	Derived: -function(c6) | relation_inverse_image(c6,A) = B | in(f4(c6,A,B),B) | in(f4(c6,A,B),relation_dom(c6)).  [resolve(63,b,43,a)].
0.42/1.00	Derived: -function(c7) | relation_inverse_image(c7,A) = B | in(f4(c7,A,B),B) | in(f4(c7,A,B),relation_dom(c7)).  [resolve(63,b,44,a)].
0.42/1.00	Derived: -function(c8) | relation_inverse_image(c8,A) = B | in(f4(c8,A,B),B) | in(f4(c8,A,B),relation_dom(c8)).  [resolve(63,b,45,a)].
0.42/1.00	Derived: -function(c9) | relation_inverse_image(c9,A) = B | in(f4(c9,A,B),B) | in(f4(c9,A,B),relation_dom(c9)).  [resolve(63,b,46,a)].
0.42/1.00	Derived: -function(A) | relation_inverse_image(A,B) = C | in(f4(A,B,C),C) | in(f4(A,B,C),relation_dom(A)) | -empty(A).  [resolve(63,b,47,b)].
0.42/1.00	Derived: -function(relation_rng(A)) | relation_inverse_image(relation_rng(A),B) = C | in(f4(relation_rng(A),B,C),C) | in(f4(relation_rng(A),B,C),relation_dom(relation_rng(A))) | -empty(A).  [resolve(63,b,48,b)].
0.42/1.00	Derived: -function(relation_dom(A)) | relation_inverse_image(relation_dom(A),B) = C | in(f4(relation_dom(A),B,C),C) | in(f4(relation_dom(A),B,C),relation_dom(relation_dom(A))) | -empty(A).  [resolve(63,b,49,b)].
0.42/1.00	64 -function(A) | -relation(A) | in(f8(A,B),B) | apply(A,f9(A,B)) = f8(A,B) | relation_rng(A) = B # label(d5_funct_1) # label(axiom).  [clausify(33)].
0.42/1.00	Derived: -function(c1) | in(f8(c1,A),A) | apply(c1,f9(c1,A)) = f8(c1,A) | relation_rng(c1) = A.  [resolve(64,b,38,a)].
0.42/1.00	Derived: -function(c2) | in(f8(c2,A),A) | apply(c2,f9(c2,A)) = f8(c2,A) | relation_rng(c2) = A.  [resolve(64,b,39,a)].
0.42/1.00	Derived: -function(c3) | in(f8(c3,A),A) | apply(c3,f9(c3,A)) = f8(c3,A) | relation_rng(c3) = A.  [resolve(64,b,40,a)].
0.42/1.00	Derived: -function(empty_set) | in(f8(empty_set,A),A) | apply(empty_set,f9(empty_set,A)) = f8(empty_set,A) | relation_rng(empty_set) = A.  [resolve(64,b,41,a)].
0.42/1.01	Derived: -function(c6) | in(f8(c6,A),A) | apply(c6,f9(c6,A)) = f8(c6,A) | relation_rng(c6) = A.  [resolve(64,b,43,a)].
0.42/1.01	Derived: -function(c7) | in(f8(c7,A),A) | apply(c7,f9(c7,A)) = f8(c7,A) | relation_rng(c7) = A.  [resolve(64,b,44,a)].
0.42/1.01	Derived: -function(c8) | in(f8(c8,A),A) | apply(c8,f9(c8,A)) = f8(c8,A) | relation_rng(c8) = A.  [resolve(64,b,45,a)].
0.42/1.01	Derived: -function(c9) | in(f8(c9,A),A) | apply(c9,f9(c9,A)) = f8(c9,A) | relation_rng(c9) = A.  [resolve(64,b,46,a)].
0.42/1.01	Derived: -function(A) | in(f8(A,B),B) | apply(A,f9(A,B)) = f8(A,B) | relation_rng(A) = B | -empty(A).  [resolve(64,b,47,b)].
0.42/1.01	Derived: -function(relation_rng(A)) | in(f8(relation_rng(A),B),B) | apply(relation_rng(A),f9(relation_rng(A),B)) = f8(relation_rng(A),B) | relation_rng(relation_rng(A)) = B | -empty(A).  [resolve(64,b,48,b)].
0.42/1.01	Derived: -function(relation_dom(A)) | in(f8(relation_dom(A),B),B) | apply(relation_dom(A),f9(relation_dom(A),B)) = f8(relation_dom(A),B) | relation_rng(relation_dom(A)) = B | -empty(A).  [resolve(64,b,49,b)].
0.42/1.01	65 -function(A) | -relation(A) | relation_inverse_image(A,B) = C | in(f4(A,B,C),C) | in(apply(A,f4(A,B,C)),B) # label(d13_funct_1) # label(axiom).  [clausify(25)].
0.42/1.01	Derived: -function(c1) | relation_inverse_image(c1,A) = B | in(f4(c1,A,B),B) | in(apply(c1,f4(c1,A,B)),A).  [resolve(65,b,38,a)].
0.42/1.01	Derived: -function(c2) | relation_inverse_image(c2,A) = B | in(f4(c2,A,B),B) | in(apply(c2,f4(c2,A,B)),A).  [resolve(65,b,39,a)].
0.42/1.01	Derived: -function(c3) | relation_inverse_image(c3,A) = B | in(f4(c3,A,B),B) | in(apply(c3,f4(c3,A,B)),A).  [resolve(65,b,40,a)].
0.42/1.01	Derived: -function(empty_set) | relation_inverse_image(empty_set,A) = B | in(f4(empty_set,A,B),B) | in(apply(empty_set,f4(empty_set,A,B)),A).  [resolve(65,b,41,a)].
0.42/1.01	Derived: -function(c6) | relation_inverse_image(c6,A) = B | in(f4(c6,A,B),B) | in(apply(c6,f4(c6,A,B)),A).  [resolve(65,b,43,a)].
0.42/1.01	Derived: -function(c7) | relation_inverse_image(c7,A) = B | in(f4(c7,A,B),B) | in(apply(c7,f4(c7,A,B)),A).  [resolve(65,b,44,a)].
0.42/1.01	Derived: -function(c8) | relation_inverse_image(c8,A) = B | in(f4(c8,A,B),B) | in(apply(c8,f4(c8,A,B)),A).  [resolve(65,b,45,a)].
0.42/1.01	Derived: -function(c9) | relation_inverse_image(c9,A) = B | in(f4(c9,A,B),B) | in(apply(c9,f4(c9,A,B)),A).  [resolve(65,b,46,a)].
0.42/1.01	Derived: -function(A) | relation_inverse_image(A,B) = C | in(f4(A,B,C),C) | in(apply(A,f4(A,B,C)),B) | -empty(A).  [resolve(65,b,47,b)].
0.42/1.01	Derived: -function(relation_rng(A)) | relation_inverse_image(relation_rng(A),B) = C | in(f4(relation_rng(A),B,C),C) | in(apply(relation_rng(A),f4(relation_rng(A),B,C)),B) | -empty(A).  [resolve(65,b,48,b)].
0.42/1.01	Derived: -function(relation_dom(A)) | relation_inverse_image(relation_dom(A),B) = C | in(f4(relation_dom(A),B,C),C) | in(apply(relation_dom(A),f4(relation_dom(A),B,C)),B) | -empty(A).  [resolve(65,b,49,b)].
0.42/1.01	66 -relation(A) | -function(A) | -one_to_one(A) | -in(B,relation_dom(A)) | apply(A,B) != apply(A,C) | -in(C,relation_dom(A)) | B = C # label(d8_funct_1) # label(axiom).  [clausify(32)].
0.42/1.01	Derived: -function(c1) | -one_to_one(c1) | -in(A,relation_dom(c1)) | apply(c1,A) != apply(c1,B) | -in(B,relation_dom(c1)) | A = B.  [resolve(66,a,38,a)].
0.42/1.01	Derived: -function(c2) | -one_to_one(c2) | -in(A,relation_dom(c2)) | apply(c2,A) != apply(c2,B) | -in(B,relation_dom(c2)) | A = B.  [resolve(66,a,39,a)].
0.42/1.01	Derived: -function(c3) | -one_to_one(c3) | -in(A,relation_dom(c3)) | apply(c3,A) != apply(c3,B) | -in(B,relation_dom(c3)) | A = B.  [resolve(66,a,40,a)].
0.42/1.01	Derived: -function(empty_set) | -one_to_one(empty_set) | -in(A,relation_dom(empty_set)) | apply(empty_set,A) != apply(empty_set,B) | -in(B,relation_dom(empty_set)) | A = B.  [resolve(66,a,41,a)].
0.42/1.01	Derived: -function(c6) | -one_to_one(c6) | -in(A,relation_dom(c6)) | apply(c6,A) != apply(c6,B) | -in(B,relation_dom(c6)) | A = B.  [resolve(66,a,43,a)].
0.42/1.01	Derived: -function(c7) | -one_to_one(c7) | -in(A,relation_dom(c7)) | apply(c7,A) != apply(c7,B) | -in(B,relation_dom(c7)) | A = B.  [resolve(66,a,44,a)].
0.42/1.01	Derived: -function(c8) | -one_to_one(c8) | -in(A,relation_dom(c8)) | apply(c8,A) != apply(c8,B) | -in(B,relation_dom(c8)) | A = B.  [resolve(66,a,45,a)].
0.42/1.01	Derived: -function(c9) | -one_to_one(c9) | -in(A,relation_dom(c9)) | apply(c9,A) != apply(c9,B) | -in(B,relation_dom(c9)) | A = B.  [resolve(66,a,46,a)].
0.42/1.01	Derived: -function(A) | -one_to_one(A) | -in(B,relation_dom(A)) | apply(A,B) != apply(A,C) | -in(C,relation_dom(A)) | B = C | -empty(A).  [resolve(66,a,47,b)].
0.42/1.01	Derived: -function(relation_rng(A)) | -one_to_one(relation_rng(A)) | -in(B,relation_dom(relation_rng(A))) | apply(relation_rng(A),B) != apply(relation_rng(A),C) | -in(C,relation_dom(relation_rng(A))) | B = C | -empty(A).  [resolve(66,a,48,b)].
0.42/1.01	Derived: -function(relation_dom(A)) | -one_to_one(relation_dom(A)) | -in(B,relation_dom(relation_dom(A))) | apply(relation_dom(A),B) != apply(relation_dom(A),C) | -in(C,relation_dom(relation_dom(A))) | B = C | -empty(A).  [resolve(66,a,49,b)].
0.42/1.01	67 -function(A) | -relation(A) | -in(f8(A,B),B) | apply(A,C) != f8(A,B) | -in(C,relation_dom(A)) | relation_rng(A) = B # label(d5_funct_1) # label(axiom).  [clausify(33)].
0.42/1.01	Derived: -function(c1) | -in(f8(c1,A),A) | apply(c1,B) != f8(c1,A) | -in(B,relation_dom(c1)) | relation_rng(c1) = A.  [resolve(67,b,38,a)].
0.42/1.01	Derived: -function(c2) | -in(f8(c2,A),A) | apply(c2,B) != f8(c2,A) | -in(B,relation_dom(c2)) | relation_rng(c2) = A.  [resolve(67,b,39,a)].
0.42/1.01	Derived: -function(c3) | -in(f8(c3,A),A) | apply(c3,B) != f8(c3,A) | -in(B,relation_dom(c3)) | relation_rng(c3) = A.  [resolve(67,b,40,a)].
0.42/1.01	Derived: -function(empty_set) | -in(f8(empty_set,A),A) | apply(empty_set,B) != f8(empty_set,A) | -in(B,relation_dom(empty_set)) | relation_rng(empty_set) = A.  [resolve(67,b,41,a)].
0.42/1.01	Derived: -function(c6) | -in(f8(c6,A),A) | apply(c6,B) != f8(c6,A) | -in(B,relation_dom(c6)) | relation_rng(c6) = A.  [resolve(67,b,43,a)].
0.42/1.01	Derived: -function(c7) | -in(f8(c7,A),A) | apply(c7,B) != f8(c7,A) | -in(B,relation_dom(c7)) | relation_rng(c7) = A.  [resolve(67,b,44,a)].
0.42/1.01	Derived: -function(c8) | -in(f8(c8,A),A) | apply(c8,B) != f8(c8,A) | -in(B,relation_dom(c8)) | relation_rng(c8) = A.  [resolve(67,b,45,a)].
0.42/1.01	Derived: -function(c9) | -in(f8(c9,A),A) | apply(c9,B) != f8(c9,A) | -in(B,relation_dom(c9)) | relation_rng(c9) = A.  [resolve(67,b,46,a)].
0.42/1.01	Derived: -function(A) | -in(f8(A,B),B) | apply(A,C) != f8(A,B) | -in(C,relation_dom(A)) | relation_rng(A) = B | -empty(A).  [resolve(67,b,47,b)].
0.42/1.01	Derived: -function(relation_rng(A)) | -in(f8(relation_rng(A),B),B) | apply(relation_rng(A),C) != f8(relation_rng(A),B) | -in(C,relation_dom(relation_rng(A))) | relation_rng(relation_rng(A)) = B | -empty(A).  [resolve(67,b,48,b)].
0.42/1.01	Derived: -function(relation_dom(A)) | -in(f8(relation_dom(A),B),B) | apply(relation_dom(A),C) != f8(relation_dom(A),B) | -in(C,relation_dom(relation_dom(A))) | relation_rng(relation_dom(A)) = B | -empty(A).  [resolve(67,b,49,b)].
0.42/1.01	68 -function(A) | -relation(A) | relation_inverse_image(A,B) = C | -in(f4(A,B,C),C) | -in(apply(A,f4(A,B,C)),B) | -in(f4(A,B,C),relation_dom(A)) # label(d13_funct_1) # label(axiom).  [clausify(25)].
0.42/1.01	Derived: -function(c1) | relation_inverse_image(c1,A) = B | -in(f4(c1,A,B),B) | -in(apply(c1,f4(c1,A,B)),A) | -in(f4(c1,A,B),relation_dom(c1)).  [resolve(68,b,38,a)].
1.63/1.95	Derived: -function(c2) | relation_inverse_image(c2,A) = B | -in(f4(c2,A,B),B) | -in(apply(c2,f4(c2,A,B)),A) | -in(f4(c2,A,B),relation_dom(c2)).  [resolve(68,b,39,a)].
1.63/1.95	Derived: -function(c3) | relation_inverse_image(c3,A) = B | -in(f4(c3,A,B),B) | -in(apply(c3,f4(c3,A,B)),A) | -in(f4(c3,A,B),relation_dom(c3)).  [resolve(68,b,40,a)].
1.63/1.95	Derived: -function(empty_set) | relation_inverse_image(empty_set,A) = B | -in(f4(empty_set,A,B),B) | -in(apply(empty_set,f4(empty_set,A,B)),A) | -in(f4(empty_set,A,B),relation_dom(empty_set)).  [resolve(68,b,41,a)].
1.63/1.95	Derived: -function(c6) | relation_inverse_image(c6,A) = B | -in(f4(c6,A,B),B) | -in(apply(c6,f4(c6,A,B)),A) | -in(f4(c6,A,B),relation_dom(c6)).  [resolve(68,b,43,a)].
1.63/1.95	Derived: -function(c7) | relation_inverse_image(c7,A) = B | -in(f4(c7,A,B),B) | -in(apply(c7,f4(c7,A,B)),A) | -in(f4(c7,A,B),relation_dom(c7)).  [resolve(68,b,44,a)].
1.63/1.95	Derived: -function(c8) | relation_inverse_image(c8,A) = B | -in(f4(c8,A,B),B) | -in(apply(c8,f4(c8,A,B)),A) | -in(f4(c8,A,B),relation_dom(c8)).  [resolve(68,b,45,a)].
1.63/1.95	Derived: -function(c9) | relation_inverse_image(c9,A) = B | -in(f4(c9,A,B),B) | -in(apply(c9,f4(c9,A,B)),A) | -in(f4(c9,A,B),relation_dom(c9)).  [resolve(68,b,46,a)].
1.63/1.95	Derived: -function(A) | relation_inverse_image(A,B) = C | -in(f4(A,B,C),C) | -in(apply(A,f4(A,B,C)),B) | -in(f4(A,B,C),relation_dom(A)) | -empty(A).  [resolve(68,b,47,b)].
1.63/1.95	Derived: -function(relation_rng(A)) | relation_inverse_image(relation_rng(A),B) = C | -in(f4(relation_rng(A),B,C),C) | -in(apply(relation_rng(A),f4(relation_rng(A),B,C)),B) | -in(f4(relation_rng(A),B,C),relation_dom(relation_rng(A))) | -empty(A).  [resolve(68,b,48,b)].
1.63/1.95	Derived: -function(relation_dom(A)) | relation_inverse_image(relation_dom(A),B) = C | -in(f4(relation_dom(A),B,C),C) | -in(apply(relation_dom(A),f4(relation_dom(A),B,C)),B) | -in(f4(relation_dom(A),B,C),relation_dom(relation_dom(A))) | -empty(A).  [resolve(68,b,49,b)].
1.63/1.95	
1.63/1.95	============================== end predicate elimination =============
1.63/1.95	
1.63/1.95	Auto_denials:  (non-Horn, no changes).
1.63/1.95	
1.63/1.95	Term ordering decisions:
1.63/1.95	Function symbol KB weights:  empty_set=1. c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. c9=1. c10=1. apply=1. relation_inverse_image=1. f2=1. f8=1. f9=1. relation_dom=1. relation_rng=1. singleton=1. powerset=1. f1=1. f3=1. f5=1. f6=1. f7=1. f11=1. f4=1. f10=1.
1.63/1.95	
1.63/1.95	============================== end of process initial clauses ========
1.63/1.95	
1.63/1.95	============================== CLAUSES FOR SEARCH ====================
1.63/1.95	
1.63/1.95	============================== end of clauses for search =============
1.63/1.95	
1.63/1.95	============================== SEARCH ================================
1.63/1.95	
1.63/1.95	% Starting search at 0.04 seconds.
1.63/1.95	
1.63/1.95	Low Water (keep): wt=63.000, iters=3341
1.63/1.95	
1.63/1.95	Low Water (keep): wt=57.000, iters=3333
1.63/1.95	
1.63/1.95	Low Water (keep): wt=52.000, iters=3373
1.63/1.95	
1.63/1.95	Low Water (keep): wt=51.000, iters=3356
1.63/1.95	
1.63/1.95	Low Water (keep): wt=48.000, iters=3333
1.63/1.95	
1.63/1.95	Low Water (keep): wt=47.000, iters=3388
1.63/1.95	
1.63/1.95	Low Water (keep): wt=46.000, iters=3361
1.63/1.95	
1.63/1.95	Low Water (keep): wt=44.000, iters=3390
1.63/1.95	
1.63/1.95	Low Water (keep): wt=43.000, iters=3378
1.63/1.95	
1.63/1.95	Low Water (keep): wt=41.000, iters=3442
1.63/1.95	
1.63/1.95	Low Water (keep): wt=40.000, iters=3391
1.63/1.95	
1.63/1.95	Low Water (keep): wt=38.000, iters=3382
1.63/1.95	
1.63/1.95	Low Water (keep): wt=37.000, iters=3446
1.63/1.95	
1.63/1.95	Low Water (keep): wt=36.000, iters=3382
1.63/1.95	
1.63/1.95	Low Water (keep): wt=35.000, iters=3358
1.63/1.95	
1.63/1.95	Low Water (keep): wt=33.000, iters=3348
1.63/1.95	
1.63/1.95	Low Water (keep): wt=31.000, iters=3338
1.63/1.95	
1.63/1.95	Low Water (keep): wt=29.000, iters=3372
1.63/1.95	
1.63/1.95	Low Water (keep): wt=28.000, iters=3383
1.63/1.95	
1.63/1.95	Low Water (keep): wt=27.000, iters=3473
1.63/1.95	
1.63/1.95	Low Water (keep): wt=26.000, iters=3383
1.63/1.95	
1.63/1.95	Low Water (keep): wt=25.000, iters=3372
1.63/1.95	
1.63/1.95	Low Water (keep): wt=24.000, iters=3333
1.63/1.95	
1.63/1.95	Low Water (keep): wt=23.000, iters=3336
1.63/1.95	
1.63/1.95	Low Water (keep): wt=22.000, iters=3493
1.63/1.95	
1.63/1.95	Low Water (keep): wt=21.000, iters=3345
1.63/1.95	
1.63/1.95	Low Water (displace): id=7282, wt=67.000
1.63/1.95	
1.63/1.95	Low Water (displace): id=7276, wt=63.000
1.63/1.95	
1.63/1.95	Low Water (displace): id=7283, wt=61.000
1.63/1.95	
1.63/1.95	Low Water (displace): id=7291, wt=60.000
1.63/1.95	
1.63/1.95	Low Water (displace): id=7288, wt=57.000
1.63/1.95	
1.63/1.95	Low Water (displace): id=7400, wt=56.000
1.63/1.95	
1.63/1.95	Low Water (displace): id=7401, wCputime limit exceeded (core dumped)
180.04/180.32	EOF