0.00/0.10	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.10	% Command    : tptp2X_and_run_prover9 %d %s
0.10/0.31	% Computer   : n002.cluster.edu
0.10/0.31	% Model      : x86_64 x86_64
0.10/0.31	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.31	% Memory     : 8042.1875MB
0.10/0.31	% OS         : Linux 3.10.0-693.el7.x86_64
0.10/0.31	% CPULimit   : 1200
0.10/0.31	% DateTime   : Tue Jul 13 16:05:03 EDT 2021
0.10/0.31	% CPUTime    : 
5.09/5.31	============================== Prover9 ===============================
5.09/5.31	Prover9 (32) version 2009-11A, November 2009.
5.09/5.31	Process 18725 was started by sandbox2 on n002.cluster.edu,
5.09/5.31	Tue Jul 13 16:05:08 2021
5.09/5.31	The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 1200 -f /tmp/Prover9_18572_n002.cluster.edu".
5.09/5.31	============================== end of head ===========================
5.09/5.31	
5.09/5.31	============================== INPUT =================================
5.09/5.31	
5.09/5.31	% Reading from file /tmp/Prover9_18572_n002.cluster.edu
5.09/5.31	
5.09/5.31	set(prolog_style_variables).
5.09/5.31	set(auto2).
5.09/5.31	    % set(auto2) -> set(auto).
5.09/5.31	    % set(auto) -> set(auto_inference).
5.09/5.31	    % set(auto) -> set(auto_setup).
5.09/5.31	    % set(auto_setup) -> set(predicate_elim).
5.09/5.31	    % set(auto_setup) -> assign(eq_defs, unfold).
5.09/5.31	    % set(auto) -> set(auto_limits).
5.09/5.31	    % set(auto_limits) -> assign(max_weight, "100.000").
5.09/5.31	    % set(auto_limits) -> assign(sos_limit, 20000).
5.09/5.31	    % set(auto) -> set(auto_denials).
5.09/5.31	    % set(auto) -> set(auto_process).
5.09/5.31	    % set(auto2) -> assign(new_constants, 1).
5.09/5.31	    % set(auto2) -> assign(fold_denial_max, 3).
5.09/5.31	    % set(auto2) -> assign(max_weight, "200.000").
5.09/5.31	    % set(auto2) -> assign(max_hours, 1).
5.09/5.31	    % assign(max_hours, 1) -> assign(max_seconds, 3600).
5.09/5.31	    % set(auto2) -> assign(max_seconds, 0).
5.09/5.31	    % set(auto2) -> assign(max_minutes, 5).
5.09/5.31	    % assign(max_minutes, 5) -> assign(max_seconds, 300).
5.09/5.31	    % set(auto2) -> set(sort_initial_sos).
5.09/5.31	    % set(auto2) -> assign(sos_limit, -1).
5.09/5.31	    % set(auto2) -> assign(lrs_ticks, 3000).
5.09/5.31	    % set(auto2) -> assign(max_megs, 400).
5.09/5.31	    % set(auto2) -> assign(stats, some).
5.09/5.31	    % set(auto2) -> clear(echo_input).
5.09/5.31	    % set(auto2) -> set(quiet).
5.09/5.31	    % set(auto2) -> clear(print_initial_clauses).
5.09/5.31	    % set(auto2) -> clear(print_given).
5.09/5.31	assign(lrs_ticks,-1).
5.09/5.31	assign(sos_limit,10000).
5.09/5.31	assign(order,kbo).
5.09/5.31	set(lex_order_vars).
5.09/5.31	clear(print_given).
5.09/5.31	
5.09/5.31	% formulas(sos).  % not echoed (3048 formulas)
5.09/5.31	
5.09/5.31	============================== end of input ==========================
5.09/5.31	
5.09/5.31	% From the command line: assign(max_seconds, 1200).
5.09/5.31	
5.09/5.31	============================== PROCESS NON-CLAUSAL FORMULAS ==========
5.09/5.31	
5.09/5.31	% Formulas that are not ordinary clauses:
5.09/5.31	1 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause).  [assumption].
5.09/5.31	2 $T # label(t8_tarski) # label(axiom) # label(non_clause).  [assumption].
5.09/5.31	3 $T # label(dt_k1_tarski) # label(axiom) # label(non_clause).  [assumption].
5.09/5.31	4 (all A all B ((all C (r2_hidden(C,B) <-> r2_hidden(C,A))) -> B = A)) # label(t2_tarski) # label(axiom) # label(non_clause).  [assumption].
5.09/5.31	5 (all A all B ((all C (A = C <-> r2_hidden(C,B))) <-> B = k1_tarski(A))) # label(d1_tarski) # label(axiom) # label(non_clause).  [assumption].
5.09/5.31	6 (all A all B k4_tarski(A,B) = k2_tarski(k2_tarski(A,B),k1_tarski(A))) # label(d5_tarski) # label(axiom) # label(non_clause).  [assumption].
5.09/5.31	7 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause).  [assumption].
5.09/5.31	8 (all A all B -((all C -(r2_hidden(C,B) & (all D -(r2_hidden(D,C) & r2_hidden(D,B))))) & r2_hidden(A,B))) # label(t7_tarski) # label(axiom) # label(non_clause).  [assumption].
5.09/5.31	9 (all A all B ((all C (r2_hidden(C,B) <-> (exists D (r2_hidden(C,D) & r2_hidden(D,A))))) <-> B = k3_tarski(A))) # label(d4_tarski) # label(axiom) # label(non_clause).  [assumption].
5.09/5.31	10 (all A exists B ((all C -(r2_hidden(C,B) & (all D -(r2_hidden(D,B) & (all E (r1_tarski(E,C) -> r2_hidden(E,D))))))) & (all C -(-r2_tarski(C,B) & -r2_hidden(C,B) & r1_tarski(C,B))) & (all C all D (r2_hidden(C,B) & r1_tarski(D,C) -> r2_hidden(D,B))) & r2_hidden(A,B))) # label(t9_tarski) # label(axiom) # label(non_clause).  [assumption].
5.09/5.31	11 (all A all B (r2_tarski(A,B) <-> (exists C ((all D -((all E -(r2_hidden(k4_tarski(E,D),C) & r2_hidden(E,A))) & r2_hidden(D,B))) & (all D all E all F all G (r2_hidden(k4_tarski(F,G),C) & r2_hidden(k4_tarski(D,E),C) -> (D = F <-> E = G))) & (all D -((all E -(r2_hidden(E,B) & r2_hidden(k4_tarski(D,E),C))) & r2_hidden(D,A))))))) # label(d6_tarski) # label(axiom) # label(non_clause).  [assumption].
5.09/5.31	12 $T # label(t3_tarski) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	13 $T # label(dt_k4_tarski) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	14 $T # label(dt_k3_tarski) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	15 $T # label(t4_tarski) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	16 (all A all B all C (p1_s1_tarski(A,C) & p1_s1_tarski(A,B) -> B = C)) -> (exists A all B ((exists C (p1_s1_tarski(C,B) & r2_hidden(C,f1_s1_tarski))) <-> r2_hidden(B,A))) # label(s1_tarski) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	17 (all A all B ((all C (r2_hidden(C,A) -> r2_hidden(C,B))) <-> r1_tarski(A,B))) # label(d3_tarski) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	18 $T # label(t6_tarski) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	19 (all A all B all C ((all D (r2_hidden(D,C) <-> D = B | D = A)) <-> k2_tarski(A,B) = C)) # label(d2_tarski) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	20 $T # label(dt_k2_tarski) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	21 (all A all B k2_tarski(B,A) = k2_tarski(A,B)) # label(commutativity_k2_tarski) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	22 $T # label(t5_tarski) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	23 $T # label(t1_tarski) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	24 $T # label(dt_k3_xboole_0) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	25 (all A all B k5_xboole_0(B,A) = k5_xboole_0(A,B)) # label(commutativity_k5_xboole_0) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	26 (all A all B ((all C (p1_s3_xboole_0(C) <-> r2_hidden(C,A))) & (all C (p1_s3_xboole_0(C) <-> r2_hidden(C,B))) -> A = B)) # label(s3_xboole_0) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	27 (all A all B r3_xboole_0(A,A)) # label(reflexivity_r3_xboole_0) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	28 (all A ((all B -r2_hidden(B,A)) <-> A = k1_xboole_0)) # label(d1_xboole_0) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	29 (all A (p1_s2_xboole_0(A) <-> r2_hidden(A,f2_s2_xboole_0))) & (all A (r2_hidden(A,f1_s2_xboole_0) <-> p1_s2_xboole_0(A))) -> f1_s2_xboole_0 = f2_s2_xboole_0 # label(s2_xboole_0) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	30 (all A all B all C -(r1_xboole_0(A,B) & r2_hidden(C,k2_xboole_0(A,B)) & -(-r2_hidden(C,A) & r2_hidden(C,B)) & -(r2_hidden(C,A) & -r2_hidden(C,B)))) # label(t5_xboole_0) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	31 (all A all B (r1_tarski(B,A) | r1_tarski(A,B) <-> r3_xboole_0(A,B))) # label(d9_xboole_0) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	32 (all A all B A = k3_xboole_0(A,A)) # label(idempotence_k3_xboole_0) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	33 (all A all B (r1_xboole_0(A,B) <-> k1_xboole_0 = k3_xboole_0(A,B))) # label(d7_xboole_0) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	34 (all A all B (r1_xboole_0(A,B) -> r1_xboole_0(B,A))) # label(symmetry_r1_xboole_0) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	35 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	36 (all A all B (r1_tarski(B,A) & r1_tarski(A,B) <-> A = B)) # label(d10_xboole_0) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	37 (all A all B (r2_xboole_0(A,B) -> -r2_xboole_0(B,A))) # label(antisymmetry_r2_xboole_0) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	38 (all A all B k2_xboole_0(A,B) = k2_xboole_0(B,A)) # label(commutativity_k2_xboole_0) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	39 (exists A all B (r2_hidden(B,A) <-> r2_hidden(B,f1_s1_xboole_0) & p1_s1_xboole_0(B))) # label(s1_xboole_0) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	40 (all A all B all C ((all D ((r2_hidden(D,C) <-> r2_hidden(D,B)) <-> -r2_hidden(D,A))) -> k5_xboole_0(B,C) = A)) # label(t2_xboole_0) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	41 (all A all B (-v1_xboole_0(A) -> -v1_xboole_0(k2_xboole_0(B,A)))) # label(fc3_xboole_0) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	42 (all A all B (-v1_xboole_0(A) -> -v1_xboole_0(k2_xboole_0(A,B)))) # label(fc2_xboole_0) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	43 (all A (A = k1_xboole_0 <-> v1_xboole_0(A))) # label(d5_xboole_0) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	44 (all A all B k2_xboole_0(A,A) = A) # label(idempotence_k2_xboole_0) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	45 (all A all B (r2_xboole_0(A,B) <-> r1_tarski(A,B) & B != A)) # label(d8_xboole_0) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	46 (all A all B (-((exists C (r2_hidden(C,B) & r2_hidden(C,A))) & r1_xboole_0(A,B)) & -((all C -(r2_hidden(C,A) & r2_hidden(C,B))) & -r1_xboole_0(A,B)))) # label(t3_xboole_0) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	47 (all A all B -r2_xboole_0(A,A)) # label(irreflexivity_r2_xboole_0) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	48 (all A all B k5_xboole_0(A,B) = k2_xboole_0(k4_xboole_0(A,B),k4_xboole_0(B,A))) # label(d6_xboole_0) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	49 $T # label(dt_k4_xboole_0) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	50 (all A all B (-(r1_xboole_0(A,B) & (exists C r2_hidden(C,k3_xboole_0(A,B)))) & -((all C -r2_hidden(C,k3_xboole_0(A,B))) & -r1_xboole_0(A,B)))) # label(t4_xboole_0) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	51 (all A all B k3_xboole_0(A,B) = k3_xboole_0(B,A)) # label(commutativity_k3_xboole_0) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	52 (all A all B all C (k4_xboole_0(A,B) = C <-> (all D (r2_hidden(D,C) <-> -r2_hidden(D,B) & r2_hidden(D,A))))) # label(d4_xboole_0) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	53 (all A all B (r3_xboole_0(A,B) -> r3_xboole_0(B,A))) # label(symmetry_r3_xboole_0) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	54 $T # label(dt_k5_xboole_0) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	55 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	56 (all A all B all C ((all D (r2_hidden(D,C) <-> r2_hidden(D,A) | r2_hidden(D,B))) <-> k2_xboole_0(A,B) = C)) # label(d2_xboole_0) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	57 (all A all B all C (k3_xboole_0(A,B) = C <-> (all D (r2_hidden(D,C) <-> r2_hidden(D,B) & r2_hidden(D,A))))) # label(d3_xboole_0) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	58 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	59 $T # label(dt_k2_xboole_0) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	60 (all A all B all C (-(r2_hidden(A,C) <-> r2_hidden(A,B)) <-> r2_hidden(A,k5_xboole_0(B,C)))) # label(t1_xboole_0) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	61 (all A all B -(v1_xboole_0(B) & A != B & v1_xboole_0(A))) # label(t8_boole) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	62 (all A k1_xboole_0 = k3_xboole_0(A,k1_xboole_0)) # label(t2_boole) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	63 (all A A = k4_xboole_0(A,k1_xboole_0)) # label(t3_boole) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	64 (all A k1_xboole_0 = k4_xboole_0(k1_xboole_0,A)) # label(t4_boole) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	65 (all A A = k2_xboole_0(A,k1_xboole_0)) # label(t1_boole) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	66 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	67 (all A A = k5_xboole_0(A,k1_xboole_0)) # label(t5_boole) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	68 (all A all B -(v1_xboole_0(B) & r2_hidden(A,B))) # label(t7_boole) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	69 (all A all B all C r1_tarski(k3_xboole_0(A,B),k2_xboole_0(A,C))) # label(t29_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	70 (all A all B r1_xboole_0(k4_xboole_0(A,k3_xboole_0(A,B)),B)) # label(t90_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	71 (all A all B all C (r1_tarski(A,B) & r1_tarski(C,B) -> r1_tarski(k5_xboole_0(A,C),B))) # label(t110_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	72 (all A k1_xboole_0 = k5_xboole_0(A,A)) # label(t92_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	73 (all A all B all C (r1_tarski(A,B) & r1_tarski(A,C) -> r1_tarski(A,k3_xboole_0(B,C)))) # label(t19_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	74 (all A all B all C k2_xboole_0(k2_xboole_0(A,B),C) = k2_xboole_0(k2_xboole_0(A,C),k2_xboole_0(B,C))) # label(t5_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	75 (all A all B (r1_tarski(A,k4_xboole_0(B,A)) -> k1_xboole_0 = A)) # label(t38_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	76 (all A all B all C (r1_tarski(A,B) -> r1_tarski(k3_xboole_0(A,C),B))) # label(t108_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	77 (all A all B all C (r1_tarski(A,B) -> r1_tarski(k3_xboole_0(A,C),k3_xboole_0(B,C)))) # label(t26_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	78 (all A all B all C all D (r1_xboole_0(C,D) & r1_xboole_0(B,D) & r1_xboole_0(A,D) -> r1_xboole_0(k2_xboole_0(k2_xboole_0(A,B),C),D))) # label(t114_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	79 (all A r1_tarski(k1_xboole_0,A)) # label(t2_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	80 (all A all B k2_xboole_0(A,B) = k2_xboole_0(k5_xboole_0(A,B),k3_xboole_0(A,B))) # label(t93_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	81 (all A all B all C (r1_xboole_0(A,B) -> k3_xboole_0(A,C) = k3_xboole_0(A,k2_xboole_0(B,C)))) # label(t78_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	82 (all A all B (k1_xboole_0 = k4_xboole_0(A,B) <-> r1_tarski(A,B))) # label(t37_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	83 (all A all B all C (r1_tarski(k2_xboole_0(A,B),C) -> r1_tarski(A,C))) # label(t11_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	84 (all A all B k2_xboole_0(A,B) = k2_xboole_0(A,k4_xboole_0(B,A))) # label(t39_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	85 (all A all B all C all D (r1_xboole_0(B,D) & r1_tarski(C,D) & r1_tarski(A,B) -> r1_xboole_0(A,C))) # label(t64_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	86 (all A all B all C (r1_tarski(A,B) & r1_xboole_0(B,C) & r1_tarski(A,C) -> k1_xboole_0 = A)) # label(t67_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	87 (all A all B all C (r1_tarski(A,k5_xboole_0(B,C)) <-> r1_tarski(A,k2_xboole_0(B,C)) & r1_xboole_0(A,k3_xboole_0(B,C)))) # label(t107_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	88 (all A all B k3_xboole_0(A,B) = k5_xboole_0(k5_xboole_0(A,B),k2_xboole_0(A,B))) # label(t95_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	89 (all A all B all C (r1_tarski(A,k4_xboole_0(B,C)) -> r1_xboole_0(A,C) & r1_tarski(A,B))) # label(t106_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	90 (all A all B all C (r1_tarski(A,B) & r1_tarski(C,B) -> r1_tarski(k2_xboole_0(A,C),B))) # label(t8_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	91 (all A all B k4_xboole_0(A,k3_xboole_0(A,B)) = k4_xboole_0(A,B)) # label(t47_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	92 (all A (-(-r1_xboole_0(A,A) & A = k1_xboole_0) & -(A != k1_xboole_0 & r1_xboole_0(A,A)))) # label(t66_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	93 (all A all B all C (r1_xboole_0(A,B) -> r1_xboole_0(A,k4_xboole_0(B,C)))) # label(t80_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	94 (all A all B all C k3_xboole_0(A,k3_xboole_0(B,C)) = k3_xboole_0(k3_xboole_0(A,B),C)) # label(t16_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	95 (all A all B r1_tarski(A,k2_xboole_0(A,B))) # label(t7_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	96 (all A all B all C r1_tarski(k2_xboole_0(k3_xboole_0(A,B),k3_xboole_0(A,C)),k2_xboole_0(B,C))) # label(t31_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	97 (all A all B all C k3_xboole_0(k4_xboole_0(A,B),k4_xboole_0(A,C)) = k4_xboole_0(A,k2_xboole_0(B,C))) # label(t53_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	98 (all A all B all C (r1_tarski(A,B) -> r1_tarski(k2_xboole_0(A,C),k2_xboole_0(B,C)))) # label(t9_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	99 (all A all B all C k2_xboole_0(k4_xboole_0(A,B),k4_xboole_0(A,C)) = k4_xboole_0(A,k3_xboole_0(B,C))) # label(t54_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	100 (all A all B (r1_xboole_0(A,B) -> A = k4_xboole_0(k2_xboole_0(A,B),B))) # label(t88_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	101 (all A all B k2_xboole_0(A,B) = k5_xboole_0(k5_xboole_0(A,B),k3_xboole_0(A,B))) # label(t94_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	102 (all A all B (k4_xboole_0(B,A) = k4_xboole_0(A,B) -> A = B)) # label(t32_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	103 (all A all B all C k3_xboole_0(A,k4_xboole_0(B,C)) = k4_xboole_0(k3_xboole_0(A,B),C)) # label(t49_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	104 (all A all B all C (-(-(r1_xboole_0(A,C) & r1_xboole_0(A,B)) & r1_xboole_0(A,k2_xboole_0(B,C))) & -(-r1_xboole_0(A,k2_xboole_0(B,C)) & r1_xboole_0(A,B) & r1_xboole_0(A,C)))) # label(t70_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	105 (all A all B all C (r1_tarski(k4_xboole_0(A,B),C) -> r1_tarski(A,k2_xboole_0(B,C)))) # label(t44_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	106 (all A all B r1_xboole_0(k3_xboole_0(A,B),k5_xboole_0(A,B))) # label(t103_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	107 (all A all B all C k4_xboole_0(k2_xboole_0(A,B),C) = k2_xboole_0(k4_xboole_0(A,C),k4_xboole_0(B,C))) # label(t42_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	108 (all A all B all C k4_xboole_0(A,k2_xboole_0(B,C)) = k4_xboole_0(k4_xboole_0(A,B),C)) # label(t41_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	109 (all A all B all C k3_xboole_0(A,k2_xboole_0(B,C)) = k2_xboole_0(k3_xboole_0(A,B),k3_xboole_0(A,C))) # label(t23_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	110 (all A all B -(r2_xboole_0(B,A) & r2_xboole_0(A,B))) # label(t57_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	111 (all A all B all C k2_xboole_0(k4_xboole_0(A,B),k3_xboole_0(A,C)) = k4_xboole_0(A,k4_xboole_0(B,C))) # label(t52_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	112 (all A all B (r1_tarski(A,B) -> B = k2_xboole_0(A,k4_xboole_0(B,A)))) # label(t45_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	113 (all A all B -(r2_xboole_0(A,B) & k4_xboole_0(B,A) = k1_xboole_0)) # label(t105_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	114 (all A all B k4_xboole_0(k2_xboole_0(A,B),k3_xboole_0(A,B)) = k2_xboole_0(k4_xboole_0(A,B),k4_xboole_0(B,A))) # label(t55_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	115 (all A all B all C (r1_tarski(A,k2_xboole_0(B,C)) -> r1_tarski(k4_xboole_0(A,B),C))) # label(t43_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	116 (all A all B all C k3_xboole_0(k5_xboole_0(A,C),B) = k5_xboole_0(k3_xboole_0(A,B),k3_xboole_0(C,B))) # label(t112_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	117 (all A all B all C (r1_tarski(A,k3_xboole_0(B,C)) -> r1_tarski(A,B))) # label(t18_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	118 (all A all B k2_xboole_0(A,B) = k2_xboole_0(A,k2_xboole_0(A,B))) # label(t6_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	119 (all A all B k4_xboole_0(A,k4_xboole_0(A,B)) = k3_xboole_0(A,B)) # label(t48_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	120 (all A all B -(r2_xboole_0(B,A) & r1_tarski(A,B))) # label(t60_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	121 (all A all B (r1_tarski(A,B) -> B = k2_xboole_0(A,B))) # label(t12_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	122 (all A all B all C (r2_xboole_0(A,B) & r2_xboole_0(B,C) -> r2_xboole_0(A,C))) # label(t56_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	123 (all A all B all C (k2_xboole_0(A,B) = k2_xboole_0(C,B) & r1_xboole_0(C,B) & r1_xboole_0(A,B) -> A = C)) # label(t71_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	124 (all A all B all C (r1_tarski(A,B) & r1_xboole_0(B,C) -> r1_xboole_0(A,C))) # label(t63_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	125 (all A all B all C all D (r1_xboole_0(C,A) & r1_xboole_0(D,B) & k2_xboole_0(C,D) = k2_xboole_0(A,B) -> C = B)) # label(t72_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	126 (all A all B all C k3_xboole_0(A,k4_xboole_0(B,C)) = k4_xboole_0(k3_xboole_0(A,B),k3_xboole_0(A,C))) # label(t50_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	127 (all A all B all C k4_xboole_0(A,k5_xboole_0(B,C)) = k2_xboole_0(k4_xboole_0(A,k2_xboole_0(B,C)),k3_xboole_0(k3_xboole_0(A,B),C))) # label(t102_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	128 (all A all B all C (r1_tarski(A,B) -> k3_xboole_0(k2_xboole_0(A,C),B) = k2_xboole_0(A,k3_xboole_0(C,B)))) # label(t30_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	129 (all A all B all C (r1_xboole_0(A,B) -> k2_xboole_0(k4_xboole_0(C,A),B) = k4_xboole_0(k2_xboole_0(C,B),A))) # label(t87_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	130 (all A (r1_tarski(A,k1_xboole_0) -> A = k1_xboole_0)) # label(t3_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	131 (all A all B r1_tarski(k3_xboole_0(A,B),A)) # label(t17_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	132 (all A all B all C (r2_xboole_0(B,C) & r1_tarski(A,B) -> r2_xboole_0(A,C))) # label(t59_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	133 (all A all B k4_xboole_0(A,B) = k5_xboole_0(A,k3_xboole_0(A,B))) # label(t100_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	134 (all A all B r1_xboole_0(k3_xboole_0(A,B),k4_xboole_0(A,B))) # label(t89_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	135 (all A all B all C all D (r1_tarski(C,D) & r1_tarski(A,B) -> r1_tarski(k2_xboole_0(A,C),k2_xboole_0(B,D)))) # label(t13_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	136 (all A all B all C (r1_tarski(A,k2_xboole_0(B,C)) & r1_xboole_0(A,C) -> r1_tarski(A,B))) # label(t73_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	137 (all A all B all C k5_xboole_0(k5_xboole_0(A,B),C) = k5_xboole_0(A,k5_xboole_0(B,C))) # label(t91_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	138 (all A all B all C (r1_tarski(k4_xboole_0(A,B),C) & r1_tarski(k4_xboole_0(B,A),C) -> r1_tarski(k5_xboole_0(A,B),C))) # label(t97_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	139 (all A all B k4_xboole_0(k2_xboole_0(A,B),B) = k4_xboole_0(A,B)) # label(t40_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	140 (all A all B (r1_xboole_0(A,B) <-> A = k4_xboole_0(A,B))) # label(t83_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	141 (all A all B k4_xboole_0(k2_xboole_0(A,B),k3_xboole_0(A,B)) = k5_xboole_0(A,B)) # label(t101_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	142 (all A all B all C all D (r1_tarski(C,D) & r1_tarski(A,B) -> r1_tarski(k3_xboole_0(A,C),k3_xboole_0(B,D)))) # label(t27_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	143 (all A all B all C all D k2_xboole_0(A,k2_xboole_0(k2_xboole_0(B,C),D)) = k2_xboole_0(k2_xboole_0(k2_xboole_0(A,B),C),D)) # label(t113_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	144 (all A all B all C (r1_tarski(A,B) -> r1_xboole_0(A,k4_xboole_0(C,B)))) # label(t85_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	145 (all A all B all C (r1_xboole_0(A,k4_xboole_0(B,C)) -> r1_xboole_0(B,k4_xboole_0(A,C)))) # label(t81_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	146 (all A all B r1_tarski(k4_xboole_0(A,B),k5_xboole_0(A,B))) # label(t96_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	147 (all A all B (-v1_xboole_0(B) -> -(r1_tarski(B,A) & r1_xboole_0(B,A)))) # label(t69_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	148 (all A all B all C (-v1_xboole_0(C) -> -(r1_tarski(C,A) & r1_xboole_0(A,B) & r1_tarski(C,B)))) # label(t68_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	149 (all A all B -(-r1_xboole_0(A,B) & r1_xboole_0(k3_xboole_0(A,B),B))) # label(t75_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	150 (all A all B all C (r1_tarski(A,B) -> r1_tarski(A,k2_xboole_0(C,B)))) # label(t10_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	151 (all A all B all C (r2_xboole_0(A,B) & r1_tarski(B,C) -> r2_xboole_0(A,C))) # label(t58_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	152 (all A all B r1_tarski(k4_xboole_0(A,B),A)) # label(t36_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	153 (all A all B all C -(-r1_xboole_0(A,B) & r1_xboole_0(A,k3_xboole_0(B,C)) & r1_tarski(A,C))) # label(t77_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	154 (all A all B A = k2_xboole_0(k3_xboole_0(A,B),k4_xboole_0(A,B))) # label(t51_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	155 (all A all B k2_xboole_0(A,k3_xboole_0(A,B)) = A) # label(t22_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	156 (all A all B all C all D (r1_tarski(A,B) & r1_tarski(C,D) -> r1_tarski(k4_xboole_0(A,D),k4_xboole_0(B,C)))) # label(t35_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	157 (all A all B all C (r1_tarski(A,B) -> r1_tarski(k4_xboole_0(A,C),B))) # label(t109_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	158 (all A all B all C -(r1_xboole_0(A,B) & -r1_xboole_0(A,k3_xboole_0(B,C)))) # label(t74_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	159 (all A all B all C k2_xboole_0(k2_xboole_0(A,B),C) = k2_xboole_0(A,k2_xboole_0(B,C))) # label(t4_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	160 (all A all B all C (r1_tarski(A,B) & r1_tarski(C,B) & (all D (r1_tarski(C,D) & r1_tarski(A,D) -> r1_tarski(B,D))) -> B = k2_xboole_0(A,C))) # label(t14_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	161 (all A r1_xboole_0(A,k1_xboole_0)) # label(t65_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	162 (all A -r2_xboole_0(A,k1_xboole_0)) # label(t62_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	163 (all A all B (k1_xboole_0 = k2_xboole_0(A,B) -> k1_xboole_0 = A)) # label(t15_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	164 (all A all B A = k3_xboole_0(A,k2_xboole_0(A,B))) # label(t21_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	165 (all A all B (-(-r2_xboole_0(A,B) & -r2_xboole_0(B,A) & A != B) <-> r3_xboole_0(A,B))) # label(t104_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	166 (all A all B k2_xboole_0(A,B) = k5_xboole_0(A,k4_xboole_0(B,A))) # label(t98_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	167 (all A all B all C (r1_xboole_0(A,C) & r1_tarski(A,B) -> r1_tarski(A,k4_xboole_0(B,C)))) # label(t86_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	168 (all A all B r1_xboole_0(k4_xboole_0(A,B),k4_xboole_0(B,A))) # label(t82_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	169 (all A all B all C (r1_tarski(A,B) -> r1_tarski(k4_xboole_0(A,C),k4_xboole_0(B,C)))) # label(t33_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	170 (all A all B all C (r1_tarski(B,C) & r1_tarski(A,B) -> r1_tarski(A,C))) # label(t1_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	171 (all A all B r1_xboole_0(k4_xboole_0(A,B),B)) # label(t79_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	172 (all A all B all C -(-r1_xboole_0(A,B) & r1_xboole_0(A,C) & r1_xboole_0(A,k4_xboole_0(B,C)))) # label(t84_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	173 (all A all B all C k4_xboole_0(k3_xboole_0(A,B),k3_xboole_0(C,B)) = k3_xboole_0(k4_xboole_0(A,C),B)) # label(t111_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	174 (all A all B all C k2_xboole_0(A,k3_xboole_0(B,C)) = k3_xboole_0(k2_xboole_0(A,B),k2_xboole_0(A,C))) # label(t24_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	175 (all A all B all C (r1_xboole_0(A,B) -> r1_xboole_0(k3_xboole_0(C,A),k3_xboole_0(C,B)))) # label(t76_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	176 (all A (A != k1_xboole_0 -> r2_xboole_0(k1_xboole_0,A))) # label(t61_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	177 (all A all B all C k2_xboole_0(k4_xboole_0(A,k2_xboole_0(B,C)),k4_xboole_0(B,k2_xboole_0(A,C))) = k4_xboole_0(k5_xboole_0(A,B),C)) # label(t99_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	178 (all A all B k1_xboole_0 = k4_xboole_0(A,k2_xboole_0(A,B))) # label(t46_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	179 (all A all B (r1_tarski(A,B) -> A = k3_xboole_0(A,B))) # label(t28_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	180 (all A all B all C ((all D (r1_tarski(D,B) & r1_tarski(D,C) -> r1_tarski(D,A))) & r1_tarski(A,C) & r1_tarski(A,B) -> k3_xboole_0(B,C) = A)) # label(t20_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	181 (all A all B all C k2_xboole_0(k2_xboole_0(k3_xboole_0(A,B),k3_xboole_0(B,C)),k3_xboole_0(C,A)) = k3_xboole_0(k3_xboole_0(k2_xboole_0(A,B),k2_xboole_0(B,C)),k2_xboole_0(C,A))) # label(t25_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	182 (all A all B all C (r1_tarski(A,B) -> r1_tarski(k4_xboole_0(C,B),k4_xboole_0(C,A)))) # label(t34_xboole_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	183 (all A all B all C all D all E all F all G all H (k5_enumset1(A,B,C,D,E,F,G) = H <-> (all I (r2_hidden(I,H) <-> -(D != I & I != F & I != G & I != E & C != I & I != B & I != A))))) # label(d5_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	184 (all A all B all C all D all E (k2_enumset1(A,B,C,D) = E <-> (all F (-(C != F & F != D & B != F & A != F) <-> r2_hidden(F,E))))) # label(d2_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	185 (all A all B all C all D all E k3_enumset1(A,B,C,D,E) = k6_enumset1(A,A,A,A,B,C,D,E)) # label(t86_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	186 $T # label(dt_k3_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	187 $T # label(t115_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	188 (all A all B all C all D all E all F all G all H k2_xboole_0(k2_tarski(A,B),k4_enumset1(C,D,E,F,G,H)) = k6_enumset1(A,B,C,D,E,F,G,H)) # label(t63_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	189 $T # label(t28_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	190 (all A all B all C all D k5_enumset1(A,A,A,A,B,C,D) = k2_enumset1(A,B,C,D)) # label(t85_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	191 $T # label(t39_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	192 (all A all B all C all D all E all F all G k2_xboole_0(k1_tarski(A),k4_enumset1(B,C,D,E,F,G)) = k5_enumset1(A,B,C,D,E,F,G)) # label(t56_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	193 (all A all B k2_tarski(A,B) = k6_enumset1(A,A,A,A,A,A,A,B)) # label(t95_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	194 $T # label(t18_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	195 (all A all B k2_tarski(A,B) = k5_enumset1(A,A,A,A,A,A,B)) # label(t92_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	196 $T # label(t24_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	197 (all A all B all C all D all E all F all G all H k6_enumset1(A,B,C,D,E,F,G,H) = k2_xboole_0(k4_enumset1(A,B,C,D,E,F),k2_tarski(G,H))) # label(t67_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	198 (all A all B all C all D all E all F all G all H all I (k6_enumset1(A,B,C,D,E,F,G,H) = I <-> (all J (-(B != J & J != H & J != G & J != F & E != J & J != D & J != C & J != A) <-> r2_hidden(J,I))))) # label(d6_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	199 (all A all B all C all D all E k2_xboole_0(k2_tarski(A,B),k1_enumset1(C,D,E)) = k3_enumset1(A,B,C,D,E)) # label(t48_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	200 (all A all B all C k1_enumset1(B,C,A) = k1_enumset1(A,B,C)) # label(t100_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	201 $T # label(dt_k2_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	202 (all A all B all C k1_enumset1(A,B,C) = k2_enumset1(A,A,B,C)) # label(t71_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.32	203 $T # label(t27_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	204 $T # label(t22_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	205 (all A all B all C all D all E k2_xboole_0(k2_enumset1(A,B,C,D),k1_tarski(E)) = k3_enumset1(A,B,C,D,E)) # label(t50_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	206 $T # label(t36_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	207 (all A all B all C k1_enumset1(A,B,C) = k2_xboole_0(k1_tarski(A),k2_tarski(B,C))) # label(t42_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	208 (all A all B all C all D k2_enumset1(C,D,A,B) = k2_enumset1(A,B,C,D)) # label(t118_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	209 $T # label(t7_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	210 $T # label(t3_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	211 $T # label(t121_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	212 (all A all B all C all D all E all F all G (G = k4_enumset1(A,B,C,D,E,F) <-> (all H (r2_hidden(H,G) <-> -(A != H & H != D & F != H & E != H & C != H & H != B))))) # label(d4_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	213 $T # label(t10_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	214 (all A all B all C all D k2_enumset1(A,B,C,D) = k2_enumset1(D,C,B,A)) # label(t125_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	215 (all A all B all C all D k2_enumset1(A,B,C,D) = k2_xboole_0(k1_tarski(A),k1_enumset1(B,C,D))) # label(t44_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	216 (all A all B all C all D k2_enumset1(D,B,C,A) = k2_enumset1(A,B,C,D)) # label(t123_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	217 (all A all B all C all D k2_enumset1(B,C,A,D) = k2_enumset1(A,B,C,D)) # label(t110_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	218 $T # label(t37_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	219 (all A all B all C all D k2_enumset1(B,D,C,A) = k2_enumset1(A,B,C,D)) # label(t113_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	220 (all A all B all C k1_enumset1(A,C,B) = k1_enumset1(A,B,C)) # label(t98_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	221 $T # label(t20_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	222 $T # label(t38_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	223 $T # label(t14_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	224 (all A k1_tarski(A) = k3_enumset1(A,A,A,A,A)) # label(t87_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	225 $T # label(t5_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	226 (all A all B all C all D all E all F k4_enumset1(A,B,C,D,E,F) = k2_xboole_0(k2_tarski(A,B),k2_enumset1(C,D,E,F))) # label(t52_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	227 $T # label(t17_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	228 $T # label(t26_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	229 (all A all B all C all D k2_enumset1(A,B,C,D) = k2_enumset1(B,A,D,C)) # label(t109_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	230 $T # label(t35_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	231 (all A all B all C all D k3_enumset1(A,A,B,C,D) = k2_enumset1(A,B,C,D)) # label(t72_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	232 (all A all B all C all D k2_enumset1(A,B,C,D) = k2_enumset1(B,A,C,D)) # label(t108_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	233 (all A all B all C all D all E all F all G all H k2_xboole_0(k3_enumset1(A,B,C,D,E),k1_enumset1(F,G,H)) = k6_enumset1(A,B,C,D,E,F,G,H)) # label(t66_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	234 $T # label(t16_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	235 (all A all B all C all D k2_enumset1(C,D,B,A) = k2_enumset1(A,B,C,D)) # label(t119_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	236 $T # label(t21_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	237 (all A all B all C all D all E all F all G k2_xboole_0(k2_enumset1(A,B,C,D),k1_enumset1(E,F,G)) = k5_enumset1(A,B,C,D,E,F,G)) # label(t59_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	238 $T # label(dt_k5_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	239 (all A all B all C all D all E all F k4_enumset1(A,B,C,D,E,F) = k2_xboole_0(k1_tarski(A),k3_enumset1(B,C,D,E,F))) # label(t51_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	240 (all A all B all C all D all E all F k2_xboole_0(k3_enumset1(A,B,C,D,E),k1_tarski(F)) = k4_enumset1(A,B,C,D,E,F)) # label(t55_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	241 $T # label(dt_k1_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	242 (all A k1_tarski(A) = k2_enumset1(A,A,A,A)) # label(t82_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	243 $T # label(t101_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	244 (all A all B all C all D all E all F all G all H k6_enumset1(A,B,C,D,E,F,G,H) = k2_xboole_0(k5_enumset1(A,B,C,D,E,F,G),k1_tarski(H))) # label(t68_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	245 $T # label(t33_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	246 (all A all B all C k4_enumset1(A,A,A,A,B,C) = k1_enumset1(A,B,C)) # label(t84_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	247 (all A all B k2_tarski(A,B) = k4_enumset1(A,A,A,A,A,B)) # label(t88_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	248 $T # label(t6_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	249 (all A all B all C all D all E all F all G k5_enumset1(A,B,C,D,E,F,G) = k2_xboole_0(k4_enumset1(A,B,C,D,E,F),k1_tarski(G))) # label(t61_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	250 (all A all B all C all D all E all F k4_enumset1(A,B,C,D,E,F) = k2_xboole_0(k2_enumset1(A,B,C,D),k2_tarski(E,F))) # label(t54_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	251 $T # label(t29_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	252 (all A all B all C all D all E all F all G k5_enumset1(A,B,C,D,E,F,G) = k2_xboole_0(k1_enumset1(A,B,C),k2_enumset1(D,E,F,G))) # label(t58_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	253 $T # label(t11_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	254 (all A k1_tarski(A) = k1_enumset1(A,A,A)) # label(t76_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	255 $T # label(t32_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	256 (all A all B all C k1_enumset1(A,B,C) = k6_enumset1(A,A,A,A,A,A,B,C)) # label(t93_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	257 (all A k6_enumset1(A,A,A,A,A,A,A,A) = k1_tarski(A)) # label(t96_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	258 $T # label(t19_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	259 $T # label(t97_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	260 (all A k2_tarski(A,A) = k1_tarski(A)) # label(t69_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	261 (all A all B k2_xboole_0(k1_tarski(A),k1_tarski(B)) = k2_tarski(A,B)) # label(t41_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	262 (all A all B all C k1_enumset1(C,B,A) = k1_enumset1(A,B,C)) # label(t102_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	263 (all A k1_tarski(A) = k5_enumset1(A,A,A,A,A,A,A)) # label(t94_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	264 (all A all B all C all D all E all F k2_xboole_0(k1_enumset1(A,B,C),k1_enumset1(D,E,F)) = k4_enumset1(A,B,C,D,E,F)) # label(t53_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	265 (all A all B all C all D k2_enumset1(A,C,B,D) = k2_enumset1(A,B,C,D)) # label(t104_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	266 (all A all B all C all D k2_enumset1(C,B,A,D) = k2_enumset1(A,B,C,D)) # label(t116_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	267 $T # label(t120_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	268 (all A all B all C all D k6_enumset1(A,A,A,A,A,B,C,D) = k2_enumset1(A,B,C,D)) # label(t90_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	269 $T # label(t9_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	270 $T # label(t13_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	271 (all A all B all C all D k2_enumset1(A,D,C,B) = k2_enumset1(A,B,C,D)) # label(t107_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	272 (all A all B all C all D all E all F k4_enumset1(A,B,C,D,E,F) = k5_enumset1(A,A,B,C,D,E,F)) # label(t74_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	273 (all A all B k2_tarski(A,B) = k3_enumset1(A,A,A,A,B)) # label(t83_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	274 (all A all B all C k3_enumset1(A,A,A,B,C) = k1_enumset1(A,B,C)) # label(t78_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	275 (all A all B all C all D all E k3_enumset1(A,B,C,D,E) = k5_enumset1(A,A,A,B,C,D,E)) # label(t80_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	276 $T # label(t30_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	277 $T # label(t1_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	278 (all A all B all C k2_xboole_0(k2_tarski(A,B),k1_tarski(C)) = k1_enumset1(A,B,C)) # label(t43_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	279 (all A all B k2_enumset1(A,A,A,B) = k2_tarski(A,B)) # label(t77_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	280 (all A all B all C all D all E all F all G all H k2_xboole_0(k1_tarski(A),k5_enumset1(B,C,D,E,F,G,H)) = k6_enumset1(A,B,C,D,E,F,G,H)) # label(t62_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	281 (all A all B all C all D k2_enumset1(A,C,D,B) = k2_enumset1(A,B,C,D)) # label(t105_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	282 $T # label(t124_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	283 (all A all B all C all D all E all F ((all G (-(G != A & B != G & G != C & D != G & G != E) <-> r2_hidden(G,F))) <-> k3_enumset1(A,B,C,D,E) = F)) # label(d3_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	284 (all A all B k2_tarski(A,B) = k1_enumset1(A,A,B)) # label(t70_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	285 $T # label(dt_k4_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	286 (all A all B all C all D (k1_enumset1(A,B,C) = D <-> (all E (r2_hidden(E,D) <-> -(E != C & E != B & E != A))))) # label(d1_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	287 (all A all B all C all D all E all F all G all H k6_enumset1(A,B,C,D,E,F,G,H) = k2_xboole_0(k1_enumset1(A,B,C),k3_enumset1(D,E,F,G,H))) # label(t64_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	288 (all A all B all C all D all E all F k4_enumset1(A,B,C,D,E,F) = k6_enumset1(A,A,A,B,C,D,E,F)) # label(t81_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	289 (all A all B all C all D all E k3_enumset1(A,B,C,D,E) = k4_enumset1(A,A,B,C,D,E)) # label(t73_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	290 $T # label(t2_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	291 $T # label(t15_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	292 (all A all B all C all D k2_enumset1(A,B,C,D) = k4_enumset1(A,A,A,B,C,D)) # label(t79_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	293 $T # label(dt_k6_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	294 $T # label(t34_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	295 $T # label(t8_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	296 (all A all B all C k1_enumset1(A,B,C) = k5_enumset1(A,A,A,A,A,B,C)) # label(t89_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	297 $T # label(t25_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	298 (all A all B all C all D all E k3_enumset1(A,B,C,D,E) = k2_xboole_0(k1_enumset1(A,B,C),k2_tarski(D,E))) # label(t49_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	299 (all A all B all C k1_enumset1(B,A,C) = k1_enumset1(A,B,C)) # label(t99_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	300 $T # label(t23_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	301 (all A all B all C all D k2_xboole_0(k2_tarski(A,B),k2_tarski(C,D)) = k2_enumset1(A,B,C,D)) # label(t45_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	302 (all A k1_tarski(A) = k4_enumset1(A,A,A,A,A,A)) # label(t91_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	303 (all A all B all C all D all E all F all G all H k6_enumset1(A,B,C,D,E,F,G,H) = k2_xboole_0(k2_enumset1(A,B,C,D),k2_enumset1(E,F,G,H))) # label(t65_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	304 $T # label(t4_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	305 (all A all B all C all D k2_enumset1(A,B,C,D) = k2_enumset1(A,B,D,C)) # label(t103_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	306 (all A all B all C all D all E all F all G k6_enumset1(A,A,B,C,D,E,F,G) = k5_enumset1(A,B,C,D,E,F,G)) # label(t75_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	307 $T # label(t12_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	308 $T # label(t122_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	309 $T # label(t31_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	310 (all A all B all C all D all E all F all G k2_xboole_0(k3_enumset1(A,B,C,D,E),k2_tarski(F,G)) = k5_enumset1(A,B,C,D,E,F,G)) # label(t60_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	311 (all A all B all C all D k2_enumset1(A,B,C,D) = k2_enumset1(C,B,D,A)) # label(t117_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	312 (all A all B all C all D all E k2_xboole_0(k1_tarski(A),k2_enumset1(B,C,D,E)) = k3_enumset1(A,B,C,D,E)) # label(t47_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	313 (all A all B all C all D k2_enumset1(B,D,A,C) = k2_enumset1(A,B,C,D)) # label(t112_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	314 (all A all B all C all D k2_enumset1(A,B,C,D) = k2_enumset1(B,C,D,A)) # label(t111_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	315 (all A all B all C all D all E all F all G k5_enumset1(A,B,C,D,E,F,G) = k2_xboole_0(k2_tarski(A,B),k3_enumset1(C,D,E,F,G))) # label(t57_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	316 $T # label(t40_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	317 $T # label(t114_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	318 $T # label(t106_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	319 (all A all B all C all D k2_xboole_0(k1_enumset1(A,B,C),k1_tarski(D)) = k2_enumset1(A,B,C,D)) # label(t46_enumset1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	320 (all A all B all C all D (k2_zfmisc_1(C,D) = k2_zfmisc_1(A,B) -> A = k1_xboole_0 | k1_xboole_0 = B | B = D & C = A)) # label(t134_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	321 (all A all B all C all D k4_zfmisc_1(A,B,C,D) = k2_zfmisc_1(k3_zfmisc_1(A,B,C),D)) # label(d4_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	322 (all A all B (k4_xboole_0(k1_tarski(A),B) = k1_xboole_0 | k1_tarski(A) = k4_xboole_0(k1_tarski(A),B))) # label(t69_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	323 (all A all B (r1_tarski(k1_tarski(A),k1_tarski(B)) -> A = B)) # label(t24_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	324 (all A all B k2_zfmisc_1(k1_tarski(A),k1_tarski(B)) = k1_tarski(k4_tarski(A,B))) # label(t35_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	325 $T # label(t4_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	326 (all A all B all C all D k2_xboole_0(k2_zfmisc_1(k4_xboole_0(A,C),B),k2_zfmisc_1(A,k4_xboole_0(B,D))) = k4_xboole_0(k2_zfmisc_1(A,B),k2_zfmisc_1(C,D))) # label(t126_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	327 (all A all B -((all C -(B != C & r2_hidden(C,A))) & k1_xboole_0 != A & A != k1_tarski(B))) # label(t41_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.09/5.33	328 $T # label(t71_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	329 $T # label(t85_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	330 (all A all B (A = k1_tarski(B) | k1_xboole_0 = A <-> r1_tarski(A,k1_tarski(B)))) # label(t39_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	331 (all A all B (A = k1_xboole_0 | k1_xboole_0 = B <-> k2_zfmisc_1(A,B) = k1_xboole_0)) # label(t113_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	332 $T # label(t76_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	333 (all A all B all C -((all D all E k4_tarski(D,E) != A) & r2_hidden(A,k2_zfmisc_1(B,C)))) # label(t102_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	334 (all A all B all C all D (r2_hidden(k4_tarski(A,B),k2_zfmisc_1(C,D)) -> r2_hidden(k4_tarski(B,A),k2_zfmisc_1(D,C)))) # label(t107_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	335 (all A all B k3_xboole_0(k1_tarski(A),k2_tarski(A,B)) = k1_tarski(A)) # label(t19_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	336 (all A r1_tarski(A,k1_zfmisc_1(k3_tarski(A)))) # label(t100_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	337 (all A all B -v1_xboole_0(k4_tarski(A,B))) # label(fc1_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	338 (all A k3_tarski(k1_zfmisc_1(A)) = A) # label(t99_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	339 (all A all B (k2_zfmisc_1(B,B) = k2_zfmisc_1(A,A) -> A = B)) # label(t115_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	340 $T # label(dt_k4_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	341 $T # label(t61_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	342 (all A all B all C -(k2_tarski(A,B) != k4_xboole_0(k2_tarski(A,B),C) & k1_tarski(B) != k4_xboole_0(k2_tarski(A,B),C) & k4_xboole_0(k2_tarski(A,B),C) != k1_tarski(A) & k1_xboole_0 != k4_xboole_0(k2_tarski(A,B),C))) # label(t74_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	343 (all A all B all C (r1_tarski(A,B) -> r1_tarski(k2_zfmisc_1(A,C),k2_zfmisc_1(B,C)) & r1_tarski(k2_zfmisc_1(C,A),k2_zfmisc_1(C,B)))) # label(t118_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	344 (all A all B (r1_tarski(A,B) -> r1_tarski(k1_zfmisc_1(A),k1_zfmisc_1(B)))) # label(t79_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	345 (all A all B r1_tarski(k1_tarski(A),k2_tarski(A,B))) # label(t12_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	346 (all A all B all C (k2_tarski(B,C) = k1_tarski(A) -> C = B)) # label(t9_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	347 (all A all B all C -(-r2_hidden(A,B) & -r2_hidden(C,B) & -r1_xboole_0(k2_tarski(A,C),B))) # label(t57_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	348 $T # label(t89_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	349 (all A all B all C (r2_hidden(C,B) & r2_hidden(A,B) -> k2_tarski(A,C) = k3_xboole_0(k2_tarski(A,C),B))) # label(t53_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	350 (all A all B (r2_hidden(A,B) -> r1_tarski(A,k3_tarski(B)))) # label(t92_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	351 $T # label(t3_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	352 (all A all B (r1_xboole_0(k1_tarski(A),B) | k1_tarski(A) = k3_xboole_0(k1_tarski(A),B))) # label(t58_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	353 (all A all B all C all D k3_xboole_0(k2_zfmisc_1(A,C),k2_zfmisc_1(B,D)) = k2_zfmisc_1(k3_xboole_0(A,B),k3_xboole_0(C,D))) # label(t123_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	354 (all A all B ((all C all D (r2_hidden(D,k2_xboole_0(A,B)) & r2_hidden(C,k2_xboole_0(A,B)) -> D = C | r1_xboole_0(C,D))) -> k3_xboole_0(k3_tarski(A),k3_tarski(B)) = k3_tarski(k3_xboole_0(A,B)))) # label(t101_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	355 $T # label(t5_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	356 (all A all B all C -(r1_tarski(k1_tarski(A),k2_tarski(B,C)) & C != A & A != B)) # label(t25_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	357 (all A all B all C all D (r2_hidden(k4_tarski(A,B),k2_zfmisc_1(C,D)) <-> r2_hidden(A,C) & r2_hidden(B,D))) # label(t106_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	358 (all A all B all C (k2_tarski(B,C) = k1_tarski(A) -> A = B)) # label(t8_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	359 (all A all B (r2_hidden(A,B) -> B = k2_xboole_0(k4_xboole_0(B,k1_tarski(A)),k1_tarski(A)))) # label(t140_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	360 (all A all B all C (r1_tarski(A,k2_tarski(B,C)) <-> -(A != k1_xboole_0 & A != k2_tarski(B,C) & A != k1_tarski(C) & A != k1_tarski(B)))) # label(t42_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	361 (all A all B k4_xboole_0(k1_tarski(A),k2_tarski(A,B)) = k1_xboole_0) # label(t22_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	362 (all A all B all C (k2_zfmisc_1(C,k3_xboole_0(A,B)) = k3_xboole_0(k2_zfmisc_1(C,A),k2_zfmisc_1(C,B)) & k2_zfmisc_1(k3_xboole_0(A,B),C) = k3_xboole_0(k2_zfmisc_1(A,C),k2_zfmisc_1(B,C)))) # label(t122_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	363 $T # label(t77_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	364 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	365 (all A all B all C -(B != C & B != k1_xboole_0 & k1_xboole_0 != C & k1_tarski(A) = k2_xboole_0(B,C))) # label(t44_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	366 (all A all B (r1_tarski(A,B) -> r1_tarski(k3_tarski(A),k3_tarski(B)))) # label(t95_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	367 (all A all B all C all D all E (r2_hidden(A,k2_zfmisc_1(B,C)) & r2_hidden(A,k2_zfmisc_1(D,E)) -> r2_hidden(A,k2_zfmisc_1(k3_xboole_0(B,D),k3_xboole_0(C,E))))) # label(t137_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	368 $T # label(t78_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	369 (all A all B k3_xboole_0(k1_zfmisc_1(A),k1_zfmisc_1(B)) = k1_zfmisc_1(k3_xboole_0(A,B))) # label(t83_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	370 (all A all B ((all C all D (r2_hidden(k4_tarski(C,D),B) <-> r2_hidden(k4_tarski(C,D),A))) & (all C -(r2_hidden(C,B) & (all D all E k4_tarski(D,E) != C))) & (all C -((all D all E C != k4_tarski(D,E)) & r2_hidden(C,A))) -> A = B)) # label(t112_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	371 (all A all B (A != B -> k2_tarski(A,B) = k5_xboole_0(k1_tarski(A),k1_tarski(B)))) # label(t29_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	372 $T # label(t15_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	373 $T # label(t7_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	374 (all A all B all C -(-r1_tarski(B,C) & (r1_tarski(k2_zfmisc_1(B,A),k2_zfmisc_1(C,A)) | r1_tarski(k2_zfmisc_1(A,B),k2_zfmisc_1(A,C))) & k1_xboole_0 != A)) # label(t117_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	375 (all A all B all C (r2_hidden(A,C) & r2_hidden(B,C) <-> r1_tarski(k2_tarski(A,B),C))) # label(t38_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	376 (all A all B r1_tarski(k1_zfmisc_1(k4_xboole_0(A,B)),k2_xboole_0(k1_tarski(k1_xboole_0),k4_xboole_0(k1_zfmisc_1(A),k1_zfmisc_1(B))))) # label(t84_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	377 (all A all B all C all D (r2_hidden(k4_tarski(A,B),k2_zfmisc_1(C,k1_tarski(D))) <-> r2_hidden(A,C) & B = D)) # label(t129_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	378 (all A all B all C all D (r1_tarski(k2_zfmisc_1(A,B),k2_zfmisc_1(C,D)) -> r1_tarski(A,C) & r1_tarski(B,D) | k2_zfmisc_1(A,B) = k1_xboole_0)) # label(t138_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	379 (all A all B ((all C (r2_hidden(C,A) -> r1_tarski(C,B))) -> r1_tarski(k3_tarski(A),B))) # label(t94_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	380 (all A all B (k4_xboole_0(k1_tarski(A),B) = k1_xboole_0 <-> r2_hidden(A,B))) # label(t68_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.33	381 (all A A = k3_tarski(k1_tarski(A))) # label(t31_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	382 (all A all B all C all D all E -((all F all G -(k4_tarski(F,G) = A & r2_hidden(G,k3_xboole_0(C,E)) & r2_hidden(F,k3_xboole_0(B,D)))) & r2_hidden(A,k3_xboole_0(k2_zfmisc_1(B,C),k2_zfmisc_1(D,E))))) # label(t104_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	383 (all A all B all C all D -(C != A & A != D & k2_tarski(C,D) = k2_tarski(A,B))) # label(t10_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	384 (all A all B (r1_tarski(k1_tarski(A),k1_tarski(B)) -> A = B)) # label(t6_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	385 (all A all B (r1_tarski(k2_xboole_0(k1_tarski(A),B),B) -> r2_hidden(A,B))) # label(t45_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	386 (all A all B all C -(-(k1_xboole_0 = C & k1_tarski(A) = B) & -(k1_tarski(A) = C & k1_xboole_0 = B) & -(k1_tarski(A) = B & C = k1_tarski(A)) & k2_xboole_0(B,C) = k1_tarski(A))) # label(t43_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	387 (all A all B k2_xboole_0(A,B) = k3_tarski(k2_tarski(A,B))) # label(t93_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	388 (all A (-v1_xboole_0(A) -> (all B all C all D (r1_tarski(k2_zfmisc_1(A,B),k2_zfmisc_1(C,D)) | r1_tarski(k2_zfmisc_1(B,A),k2_zfmisc_1(D,C)) -> r1_tarski(B,D))))) # label(t139_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	389 $T # label(t90_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	390 (all A all B ((all C all D (r2_hidden(k4_tarski(C,D),A) -> r2_hidden(k4_tarski(C,D),B))) & (all C -(r2_hidden(C,A) & (all D all E C != k4_tarski(D,E)))) -> r1_tarski(A,B))) # label(t111_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	391 (all A all B all C (k2_zfmisc_1(C,k2_tarski(A,B)) = k2_xboole_0(k2_zfmisc_1(C,k1_tarski(A)),k2_zfmisc_1(C,k1_tarski(B))) & k2_zfmisc_1(k2_tarski(A,B),C) = k2_xboole_0(k2_zfmisc_1(k1_tarski(A),C),k2_zfmisc_1(k1_tarski(B),C)))) # label(t132_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	392 (all A all B all C k1_xboole_0 != k2_xboole_0(k2_tarski(A,B),C)) # label(t50_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	393 (all A all B (r2_hidden(A,B) -> k1_tarski(A) = k3_xboole_0(B,k1_tarski(A)))) # label(t52_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	394 (all A all B k2_tarski(A,B) = k2_xboole_0(k1_tarski(A),k2_tarski(A,B))) # label(t14_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	395 (all A all B r1_tarski(k2_zfmisc_1(A,B),k1_zfmisc_1(k1_zfmisc_1(k2_xboole_0(A,B))))) # label(t105_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	396 (all A all B (-r2_hidden(A,B) -> r1_xboole_0(k1_tarski(A),B))) # label(t56_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	397 (all A all B all C (k2_zfmisc_1(C,k4_xboole_0(A,B)) = k4_xboole_0(k2_zfmisc_1(C,A),k2_zfmisc_1(C,B)) & k4_xboole_0(k2_zfmisc_1(A,C),k2_zfmisc_1(B,C)) = k2_zfmisc_1(k4_xboole_0(A,B),C))) # label(t125_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	398 (all A all B (k2_xboole_0(k1_tarski(A),k1_tarski(B)) = k1_tarski(A) -> A = B)) # label(t13_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	399 (all A all B (B != A -> k4_xboole_0(k2_tarski(A,B),k1_tarski(B)) = k1_tarski(A))) # label(t23_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	400 (all A all B ((all C (r2_hidden(C,A) -> r1_xboole_0(C,B))) -> r1_xboole_0(k3_tarski(A),B))) # label(t98_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	401 (all A all B all C all D (r1_tarski(A,B) & r1_tarski(C,D) -> r1_tarski(k2_zfmisc_1(A,C),k2_zfmisc_1(B,D)))) # label(t119_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	402 (all A all B all C all D (A != B -> r1_xboole_0(k2_zfmisc_1(C,k1_tarski(A)),k2_zfmisc_1(D,k1_tarski(B))) & r1_xboole_0(k2_zfmisc_1(k1_tarski(A),C),k2_zfmisc_1(k1_tarski(B),D)))) # label(t131_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	403 (all A all B all C (k4_xboole_0(A,k2_tarski(B,C)) = k1_xboole_0 <-> -(k2_tarski(B,C) != A & A != k1_tarski(C) & A != k1_tarski(B) & k1_xboole_0 != A))) # label(t75_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	404 $T # label(t133_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	405 (all A all B all C (r1_tarski(k2_xboole_0(k2_tarski(A,B),C),C) -> r2_hidden(A,C))) # label(t47_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	406 (all A all B r1_tarski(k3_tarski(k3_xboole_0(A,B)),k3_xboole_0(k3_tarski(A),k3_tarski(B)))) # label(t97_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	407 (all A all B (k2_zfmisc_1(A,B) = k2_zfmisc_1(B,A) -> k1_xboole_0 = B | A = B | k1_xboole_0 = A)) # label(t114_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	408 (all A all B all C all D (D = B & C = A <-> r2_hidden(k4_tarski(A,B),k2_zfmisc_1(k1_tarski(C),k1_tarski(D))))) # label(t34_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	409 (all A all B all C (k2_zfmisc_1(k1_tarski(A),k2_tarski(B,C)) = k2_tarski(k4_tarski(A,B),k4_tarski(A,C)) & k2_tarski(k4_tarski(A,C),k4_tarski(B,C)) = k2_zfmisc_1(k2_tarski(A,B),k1_tarski(C)))) # label(t36_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	410 (all A all B all C all D (r1_tarski(A,k2_zfmisc_1(B,C)) & (all E all F (r2_hidden(k4_tarski(E,F),A) -> r2_hidden(k4_tarski(E,F),D))) -> r1_tarski(A,D))) # label(t109_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	411 (all A all B (r1_tarski(A,k2_zfmisc_1(B,A)) | r1_tarski(A,k2_zfmisc_1(A,B)) -> k1_xboole_0 = A)) # label(t135_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	412 (all A all B all C (-r2_hidden(B,C) & -r2_hidden(A,C) <-> k2_tarski(A,B) = k4_xboole_0(k2_tarski(A,B),C))) # label(t72_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	413 (all A all B all C -(r2_hidden(A,C) & r1_xboole_0(k2_tarski(A,B),C))) # label(t55_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	414 (all A all B (k1_tarski(B) = k3_xboole_0(A,k1_tarski(B)) -> r2_hidden(B,A))) # label(t51_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	415 $T # label(t91_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	416 (all A all B (k4_xboole_0(A,k1_tarski(B)) = A <-> -r2_hidden(B,A))) # label(t65_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	417 (all A all B all C (k3_xboole_0(k2_tarski(A,B),C) = k2_tarski(A,B) -> r2_hidden(A,C))) # label(t63_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	418 (all A all B all C all D (r1_xboole_0(A,B) | r1_xboole_0(C,D) -> r1_xboole_0(k2_zfmisc_1(A,C),k2_zfmisc_1(B,D)))) # label(t127_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	419 (all A all B all C all D -(A != C & A != D & r1_tarski(k2_tarski(A,B),k2_tarski(C,D)))) # label(t28_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	420 (all A all B (k1_zfmisc_1(A) = B <-> (all C (r1_tarski(C,A) <-> r2_hidden(C,B))))) # label(d1_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	421 (all A all B all C all D all E all F (r1_tarski(A,k2_zfmisc_1(B,C)) & (all G all H (r2_hidden(k4_tarski(G,H),A) <-> r2_hidden(k4_tarski(G,H),D))) & r1_tarski(D,k2_zfmisc_1(E,F)) -> D = A)) # label(t110_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	422 (all A (r1_tarski(A,k2_zfmisc_1(A,A)) -> A = k1_xboole_0)) # label(t116_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	423 (all A all B all C (k4_xboole_0(k2_tarski(A,B),C) = k1_xboole_0 <-> r2_hidden(A,C) & r2_hidden(B,C))) # label(t73_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	424 (all A all B (r1_tarski(k1_tarski(A),B) <-> r2_hidden(A,B))) # label(t37_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	425 (all A r1_tarski(k1_tarski(A),k1_zfmisc_1(A))) # label(t80_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	426 (all A all B all C k2_zfmisc_1(k2_zfmisc_1(A,B),C) = k3_zfmisc_1(A,B,C)) # label(d3_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	427 (all A all B all C -(r2_hidden(B,C) & B != A & k1_tarski(A) = k3_xboole_0(k2_tarski(A,B),C))) # label(t59_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	428 (all A all B all C (r2_hidden(A,B) -> r2_hidden(C,B) & A != C | k1_tarski(A) = k3_xboole_0(k2_tarski(A,C),B))) # label(t60_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	429 (all A all B all C all D k2_zfmisc_1(k2_xboole_0(A,B),k2_xboole_0(C,D)) = k2_xboole_0(k2_xboole_0(k2_xboole_0(k2_zfmisc_1(A,C),k2_zfmisc_1(A,D)),k2_zfmisc_1(B,C)),k2_zfmisc_1(B,D))) # label(t121_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	430 (all A all B all C (r2_hidden(A,B) & A != C <-> r2_hidden(A,k4_xboole_0(B,k1_tarski(C))))) # label(t64_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	431 $T # label(t62_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	432 (all A all B -(k1_xboole_0 = k4_xboole_0(A,k1_tarski(B)) & A != k1_xboole_0 & A != k1_tarski(B))) # label(t66_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	433 (all A all B (k1_xboole_0 = k4_xboole_0(k1_tarski(A),k1_tarski(B)) -> A = B)) # label(t21_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	434 (all A all B all C (r2_hidden(C,B) & r2_hidden(A,B) -> B = k2_xboole_0(k2_tarski(A,C),B))) # label(t48_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	435 (all A all B r1_tarski(k2_xboole_0(k1_zfmisc_1(A),k1_zfmisc_1(B)),k1_zfmisc_1(k2_xboole_0(A,B)))) # label(t81_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	436 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	437 (all A all B all C (r1_tarski(A,B) -> r2_hidden(C,A) | r1_tarski(A,k4_xboole_0(B,k1_tarski(C))))) # label(t40_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	438 $T # label(t11_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	439 (all A all B (A != B <-> k4_xboole_0(k1_tarski(A),k1_tarski(B)) = k1_tarski(A))) # label(t20_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	440 $T # label(t88_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	441 (all A all B all C all D -(r2_hidden(D,A) & (all E all F -(r2_hidden(E,B) & D = k4_tarski(E,F) & r2_hidden(F,C))) & r1_tarski(A,k2_zfmisc_1(B,C)))) # label(t103_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	442 (all A all B all C (r1_tarski(k2_tarski(A,B),k1_tarski(C)) -> k1_tarski(C) = k2_tarski(A,B))) # label(t27_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	443 (all A all B (B != A -> r1_xboole_0(k1_tarski(A),k1_tarski(B)))) # label(t17_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	444 (all A all B (-r2_hidden(A,B) -> k4_xboole_0(k2_xboole_0(B,k1_tarski(A)),k1_tarski(A)) = B)) # label(t141_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	445 (all A exists B ((all C -(-r2_tarski(C,B) & -r2_hidden(C,B) & r1_tarski(C,B))) & (all C (r2_hidden(C,B) -> r2_hidden(k1_zfmisc_1(C),B))) & (all C all D (r1_tarski(D,C) & r2_hidden(C,B) -> r2_hidden(D,B))) & r2_hidden(A,B))) # label(t136_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	446 (all A all B all C all D (r1_tarski(C,D) & r1_tarski(A,B) -> k3_xboole_0(k2_zfmisc_1(A,D),k2_zfmisc_1(B,C)) = k2_zfmisc_1(A,C))) # label(t124_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	447 (all A all B all C all D ((all E all F (r2_hidden(k4_tarski(E,F),k2_zfmisc_1(A,B)) <-> r2_hidden(k4_tarski(E,F),k2_zfmisc_1(C,D)))) -> k2_zfmisc_1(C,D) = k2_zfmisc_1(A,B))) # label(t108_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	448 (all A all B all C ((B = A | r2_hidden(B,C)) & -r2_hidden(A,C) <-> k1_tarski(A) = k4_xboole_0(k2_tarski(A,B),C))) # label(t70_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	449 (all A all B all C (k2_zfmisc_1(k2_xboole_0(A,B),C) = k2_xboole_0(k2_zfmisc_1(A,C),k2_zfmisc_1(B,C)) & k2_zfmisc_1(C,k2_xboole_0(A,B)) = k2_xboole_0(k2_zfmisc_1(C,A),k2_zfmisc_1(C,B)))) # label(t120_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	450 (all A all B k3_tarski(k2_tarski(k1_tarski(A),k1_tarski(B))) = k2_tarski(A,B)) # label(t32_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	451 (all A all B r1_tarski(k2_xboole_0(k1_zfmisc_1(k4_xboole_0(A,B)),k1_zfmisc_1(k4_xboole_0(B,A))),k1_zfmisc_1(k5_xboole_0(A,B)))) # label(t86_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	452 (all A all B k3_tarski(k2_xboole_0(A,B)) = k2_xboole_0(k3_tarski(A),k3_tarski(B))) # label(t96_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	453 (all A all B -(r2_hidden(A,B) & r1_xboole_0(k1_tarski(A),B))) # label(t54_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	454 (all A k1_zfmisc_1(k1_tarski(A)) = k2_tarski(k1_xboole_0,k1_tarski(A))) # label(t30_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	455 (all A all B (A != k1_xboole_0 -> k1_xboole_0 != k2_zfmisc_1(k1_tarski(B),A) & k1_xboole_0 != k2_zfmisc_1(A,k1_tarski(B)))) # label(t130_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	456 (all A all B all C all D (r2_hidden(k4_tarski(A,B),k2_zfmisc_1(k1_tarski(C),D)) <-> A = C & r2_hidden(B,D))) # label(t128_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	457 (all A all B k1_xboole_0 != k2_xboole_0(k1_tarski(A),B)) # label(t49_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	458 (all A all B all C (r1_tarski(k2_tarski(A,B),k1_tarski(C)) -> A = C)) # label(t26_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	459 (all A all B -(A = B & r1_xboole_0(k1_tarski(A),k1_tarski(B)))) # label(t16_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	460 (all A all B all C all D (k4_tarski(C,D) = k4_tarski(A,B) -> A = C & D = B)) # label(t33_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	461 $T # label(dt_k3_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	462 (all A all B all C (k2_zfmisc_1(A,B) = C <-> (all D (r2_hidden(D,C) <-> (exists E exists F (r2_hidden(E,A) & k4_tarski(E,F) = D & r2_hidden(F,B))))))) # label(d2_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	463 $T # label(t87_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	464 (all A all B (k4_xboole_0(k1_tarski(A),B) = k1_tarski(A) <-> -r2_hidden(A,B))) # label(t67_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	465 (all A all B (r2_hidden(A,B) -> B = k2_xboole_0(k1_tarski(A),B))) # label(t46_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	466 (all A all B (k2_xboole_0(k1_zfmisc_1(A),k1_zfmisc_1(B)) = k1_zfmisc_1(k2_xboole_0(A,B)) -> r3_xboole_0(A,B))) # label(t82_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	467 (all A all B (k1_tarski(A) = k3_xboole_0(k1_tarski(A),k1_tarski(B)) -> A = B)) # label(t18_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	468 $T # label(t1_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	469 (all A all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(A) -> (all C (m2_subset_1(C,A,B) -> m1_subset_1(C,A))))) # label(dt_m2_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	470 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> k5_subset_1(A,B,C) = k5_subset_1(A,C,B))) # label(commutativity_k5_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	471 $T # label(t13_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	472 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(B,k1_zfmisc_1(A)) -> m1_subset_1(k4_subset_1(A,B,C),k1_zfmisc_1(A)))) # label(dt_k4_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	473 (all A all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(A) -> (all C (m1_subset_1(C,B) <-> m2_subset_1(C,A,B))))) # label(redefinition_m2_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	474 (all A all B (-v1_xboole_0(A) & -v1_xboole_0(B) -> -v1_xboole_0(k2_zfmisc_1(A,B)))) # label(fc4_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	475 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(B,k1_zfmisc_1(A)) -> k5_xboole_0(B,C) = k7_subset_1(A,B,C))) # label(redefinition_k7_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	476 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> m1_subset_1(k5_subset_1(A,B,C),k1_zfmisc_1(A)))) # label(dt_k5_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	477 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (r1_tarski(B,C) & r1_xboole_0(D,C) -> r1_tarski(B,k3_subset_1(A,D))))))))) # label(t47_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	478 $T # label(t3_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	479 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> m1_subset_1(k3_subset_1(A,B),k1_zfmisc_1(A)))) # label(dt_k3_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	480 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(B,k1_zfmisc_1(A)) -> m1_subset_1(k6_subset_1(A,B,C),k1_zfmisc_1(A)))) # label(dt_k6_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	481 $T # label(t6_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	482 $T # label(t14_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	483 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> r1_tarski(k3_subset_1(A,k4_subset_1(A,B,C)),k3_subset_1(A,B)))))) # label(t41_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	484 (all A (A != k1_xboole_0 -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,A) -> (-r2_hidden(C,B) -> r2_hidden(C,k3_subset_1(A,B))))))))) # label(t50_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	485 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> ((all E (m1_subset_1(E,A) -> (r2_hidden(E,C) | r2_hidden(E,D) <-> r2_hidden(E,B)))) -> B = k4_subset_1(A,C,D)))))))) # label(t15_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	486 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (r1_xboole_0(B,k3_subset_1(A,C)) <-> r1_tarski(B,C)))))) # label(t44_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	487 $T # label(t9_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	488 $T # label(t27_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	489 (all A (m1_subset_1(A,f1_s4_subset_1) -> (r2_hidden(A,f3_s4_subset_1) <-> p1_s4_subset_1(A)))) & (all A (m1_subset_1(A,f1_s4_subset_1) -> (p1_s4_subset_1(A) <-> r2_hidden(A,f2_s4_subset_1)))) -> f2_s4_subset_1 = f3_s4_subset_1 # label(s4_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	490 (all A all B (-v1_xboole_0(A) & -v1_xboole_0(B) -> (r2_subset_1(A,B) <-> r1_xboole_0(A,B)))) # label(redefinition_r2_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	491 $T # label(t11_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	492 (all A all B (m1_subset_1(B,A) -> (k1_xboole_0 != A -> m1_subset_1(k1_tarski(B),k1_zfmisc_1(A))))) # label(t55_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	493 (all A m1_subset_1(k1_xboole_0,k1_zfmisc_1(A))) # label(t4_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	494 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> ((all E (m1_subset_1(E,A) -> (r2_hidden(E,B) <-> r2_hidden(E,D) & r2_hidden(E,C)))) -> B = k5_subset_1(A,C,D)))))))) # label(t16_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	495 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> k3_subset_1(A,k7_subset_1(A,B,C)) = k4_subset_1(A,k5_subset_1(A,B,C),k5_subset_1(A,k3_subset_1(A,B),k3_subset_1(A,C))))))) # label(t34_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	496 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> k4_subset_1(A,k3_subset_1(A,B),C) = k3_subset_1(A,k6_subset_1(A,B,C)))))) # label(t33_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	497 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> k4_xboole_0(B,C) = k6_subset_1(A,B,C))) # label(redefinition_k6_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	498 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> r1_tarski(k3_subset_1(A,B),k3_subset_1(A,k5_subset_1(A,B,C))))))) # label(t42_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	499 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> ((all E (m1_subset_1(E,A) -> (r2_hidden(E,C) & -r2_hidden(E,D) <-> r2_hidden(E,B)))) -> k6_subset_1(A,C,D) = B))))))) # label(t17_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	500 (all A all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,A) -> (all G (m1_subset_1(G,A) -> (A != k1_xboole_0 -> m1_subset_1(k4_enumset1(B,C,D,E,F,G),k1_zfmisc_1(A))))))))))))))) # label(t60_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	501 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> r1_xboole_0(B,k3_subset_1(A,B)))) # label(t26_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	502 (all A k1_xboole_0 = k1_subset_1(A)) # label(d3_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	503 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> k4_subset_1(A,B,k3_subset_1(A,B)) = k2_subset_1(A))) # label(t25_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	504 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (r1_tarski(B,C) <-> r1_tarski(k3_subset_1(A,C),k3_subset_1(A,B))))))) # label(t31_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	505 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> ((all C (m1_subset_1(C,A) -> r2_hidden(C,B))) -> A = B))) # label(t49_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	506 (all A all B (r2_hidden(A,B) -> m1_subset_1(k1_tarski(A),k1_zfmisc_1(B)))) # label(t63_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	507 (all A all B ((v1_xboole_0(A) -> (m1_subset_1(B,A) <-> v1_xboole_0(B))) & (-v1_xboole_0(A) -> (m1_subset_1(B,A) <-> r2_hidden(B,A))))) # label(d2_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	508 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> k5_subset_1(A,k3_subset_1(A,B),k3_subset_1(A,C)) = k3_subset_1(A,k4_subset_1(A,B,C)))))) # label(t29_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	509 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (r1_tarski(k3_subset_1(A,B),B) <-> k2_subset_1(A) = B))) # label(t39_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	510 (all A all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,A) -> (all G (m1_subset_1(G,A) -> (all H (m1_subset_1(H,A) -> (k1_xboole_0 != A -> m1_subset_1(k5_enumset1(B,C,D,E,F,G,H),k1_zfmisc_1(A))))))))))))))))) # label(t61_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	511 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> k3_subset_1(A,k5_subset_1(A,B,C)) = k4_subset_1(A,k3_subset_1(A,B),k3_subset_1(A,C)))))) # label(t30_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	512 (all A all B (-v1_xboole_0(A) & -v1_xboole_0(B) -> -r2_subset_1(A,A))) # label(irreflexivity_r2_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	513 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> ((all E (m1_subset_1(E,A) -> (r2_hidden(E,B) <-> -(r2_hidden(E,D) <-> r2_hidden(E,C))))) -> B = k7_subset_1(A,C,D)))))))) # label(t18_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	514 $T # label(t2_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	515 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> k4_subset_1(A,B,C) = k2_xboole_0(B,C))) # label(redefinition_k4_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	516 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> ((all D (m1_subset_1(D,A) -> (r2_hidden(D,B) <-> -r2_hidden(D,C)))) -> B = k3_subset_1(A,C)))))) # label(t51_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	517 $T # label(t37_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	518 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(B,k1_zfmisc_1(A)) -> k4_subset_1(A,B,B) = B)) # label(idempotence_k4_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	519 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	520 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(B,k1_zfmisc_1(A)) -> k4_subset_1(A,B,C) = k4_subset_1(A,C,B))) # label(commutativity_k4_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	521 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> ((all D (m1_subset_1(D,A) -> -(r2_hidden(D,B) <-> r2_hidden(D,C)))) -> B = k3_subset_1(A,C)))))) # label(t53_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	522 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(B,k1_zfmisc_1(A)) -> k5_subset_1(A,B,C) = k3_xboole_0(B,C))) # label(redefinition_k5_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	523 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> -(k1_xboole_0 != B & (all C (m1_subset_1(C,A) -> -r2_hidden(C,B)))))) # label(t10_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	524 $T # label(d1_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	525 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> k3_subset_1(A,B) = k4_xboole_0(A,B))) # label(d5_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	526 (all A all B all C (-v1_xboole_0(A) & -v1_xboole_0(C) & -v1_xboole_0(B) -> -v1_xboole_0(k3_zfmisc_1(A,B,C)))) # label(fc5_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	527 (all A m1_subset_1(k8_subset_1(A),A)) # label(dt_k8_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	528 (all A k2_subset_1(A) = k3_subset_1(A,k1_subset_1(A))) # label(t22_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	529 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	530 (all A all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,A) -> (A != k1_xboole_0 -> m1_subset_1(k3_enumset1(B,C,D,E,F),k1_zfmisc_1(A))))))))))))) # label(t59_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	531 $T # label(t19_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	532 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(A)) -> -(r2_hidden(B,C) & r2_hidden(B,k3_subset_1(A,C))))) # label(t54_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	533 (exists A ((all B (m1_subset_1(B,f1_s3_subset_1) -> (r2_hidden(B,A) <-> p1_s3_subset_1(B)))) & m1_subset_1(A,k1_zfmisc_1(f1_s3_subset_1)))) # label(s3_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	534 (all A k3_subset_1(A,k2_subset_1(A)) = k1_subset_1(A)) # label(t21_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	535 $T # label(t20_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	536 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> k2_subset_1(A) = k4_subset_1(A,B,k2_subset_1(A)))) # label(t28_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	537 (all A (v1_xboole_0(k1_subset_1(A)) & m1_subset_1(k1_subset_1(A),k1_zfmisc_1(A)))) # label(dt_k1_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	538 (all A all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (A != k1_xboole_0 -> m1_subset_1(k2_tarski(B,C),k1_zfmisc_1(A))))))) # label(t56_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	539 (all A all B (-v1_xboole_0(A) & -v1_xboole_0(B) -> (r2_subset_1(A,B) -> r2_subset_1(B,A)))) # label(symmetry_r2_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	540 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> k7_subset_1(A,B,C) = k7_subset_1(A,C,B))) # label(commutativity_k7_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	541 $T # label(t45_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	542 (all A all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(A) -> (exists C m2_subset_1(C,A,B)))) # label(existence_m2_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	543 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	544 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(B,k1_zfmisc_1(A)) -> B = k5_subset_1(A,B,B))) # label(idempotence_k5_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	545 (exists A ((all B (r2_hidden(B,A) <-> p1_s1_subset_1(B) & r2_hidden(B,f1_s1_subset_1))) & m1_subset_1(A,k1_zfmisc_1(f1_s1_subset_1)))) # label(s1_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	546 $T # label(t5_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	547 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> ((all D (m1_subset_1(D,B) -> r2_hidden(D,C))) -> r1_tarski(B,C)))))) # label(t48_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	548 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (r1_tarski(B,k3_subset_1(A,C)) -> r1_tarski(C,k3_subset_1(A,B))))))) # label(t35_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	549 (all A k2_subset_1(A) = A) # label(d4_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	550 $T # label(t12_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	551 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (r1_xboole_0(B,C) & r1_xboole_0(k3_subset_1(A,B),k3_subset_1(A,C)) -> k3_subset_1(A,C) = B))))) # label(t46_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	552 (all A all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,A) -> (all G (m1_subset_1(G,A) -> (all H (m1_subset_1(H,A) -> (all I (m1_subset_1(I,A) -> (k1_xboole_0 != A -> m1_subset_1(k6_enumset1(B,C,D,E,F,G,H,I),k1_zfmisc_1(A))))))))))))))))))) # label(t62_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	553 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> ((all D (m1_subset_1(D,A) -> (r2_hidden(D,B) -> r2_hidden(D,C)))) -> r1_tarski(B,C)))))) # label(t7_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	554 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> k5_subset_1(A,B,k3_subset_1(A,C)) = k6_subset_1(A,B,C))))) # label(t32_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	555 (all A all B (-v1_xboole_0(B) & -v1_xboole_0(A) -> (r1_subset_1(A,B) -> r1_subset_1(B,A)))) # label(symmetry_r1_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	556 (all A all B (-v1_xboole_0(B) & -v1_xboole_0(A) -> (r1_subset_1(A,B) <-> r1_xboole_0(A,B)))) # label(redefinition_r1_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	557 $T # label(t24_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	558 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(B,k1_zfmisc_1(A)) -> m1_subset_1(k7_subset_1(A,B,C),k1_zfmisc_1(A)))) # label(dt_k7_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	559 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> ((all D (m1_subset_1(D,A) -> (r2_hidden(D,C) <-> r2_hidden(D,B)))) -> B = C))))) # label(t8_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	560 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> k3_subset_1(A,k3_subset_1(A,B)) = B)) # label(involutiveness_k3_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	561 (all A (-$T -> (all B (m1_subset_1(B,A) -> k8_subset_1(A) = B)))) # label(d6_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.34	562 (all A (m1_subset_1(A,k1_zfmisc_1(f1_s2_subset_1)) -> (all B (m1_subset_1(B,k1_zfmisc_1(f1_s2_subset_1)) -> ((all C (m1_subset_1(C,f1_s2_subset_1) -> (p1_s2_subset_1(C) <-> r2_hidden(C,B)))) & (all C (m1_subset_1(C,f1_s2_subset_1) -> (p1_s2_subset_1(C) <-> r2_hidden(C,A)))) -> B = A))))) # label(s2_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	563 (all A all B all C all D (-v1_xboole_0(D) & -v1_xboole_0(C) & -v1_xboole_0(B) & -v1_xboole_0(A) -> -v1_xboole_0(k4_zfmisc_1(A,B,C,D)))) # label(fc6_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	564 (all A exists B (v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)))) # label(rc2_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	565 (all A m1_subset_1(k2_subset_1(A),k1_zfmisc_1(A))) # label(dt_k2_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	566 (all A -v1_xboole_0(k1_tarski(A))) # label(fc2_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	567 (all A all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (k1_xboole_0 != A -> m1_subset_1(k2_enumset1(B,C,D,E),k1_zfmisc_1(A))))))))))) # label(t58_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	568 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (r1_tarski(B,k3_subset_1(A,C)) <-> r1_xboole_0(B,C)))))) # label(t43_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	569 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (r1_tarski(B,C) & r1_tarski(B,k3_subset_1(A,C)) -> B = k1_xboole_0))) # label(t40_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	570 (all A all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (k1_xboole_0 != A -> m1_subset_1(k1_enumset1(B,C,D),k1_zfmisc_1(A))))))))) # label(t57_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	571 (all A (-v1_xboole_0(A) -> (exists B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)))))) # label(rc1_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	572 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> ((all D (m1_subset_1(D,A) -> (r2_hidden(D,C) <-> -r2_hidden(D,B)))) -> k3_subset_1(A,C) = B))))) # label(t52_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	573 (all A all B -v1_xboole_0(k2_tarski(A,B))) # label(fc3_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	574 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (k1_subset_1(A) = B <-> r1_tarski(B,k3_subset_1(A,B))))) # label(t38_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	575 $T # label(t23_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	576 (all A all B (-v1_xboole_0(A) & -v1_xboole_0(B) -> -r1_subset_1(A,A))) # label(irreflexivity_r1_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	577 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (r1_tarski(k3_subset_1(A,B),C) -> r1_tarski(k3_subset_1(A,C),B)))))) # label(t36_subset_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	578 (all A all B (r1_tarski(A,B) <-> m1_subset_1(A,k1_zfmisc_1(B)))) # label(t3_subset) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	579 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	580 (all A all B (m1_subset_1(A,B) -> r2_hidden(A,B) | v1_xboole_0(B))) # label(t2_subset) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	581 (all A all B all C -(m1_subset_1(B,k1_zfmisc_1(C)) & v1_xboole_0(C) & r2_hidden(A,B))) # label(t5_subset) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	582 (all A all B all C (r2_hidden(A,B) & m1_subset_1(B,k1_zfmisc_1(C)) -> m1_subset_1(A,C))) # label(t4_subset) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	583 $T # label(t113_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	584 (all A all B all C (v1_relat_1(C) -> (all D (v1_relat_1(D) -> (r1_tarski(A,B) & r1_tarski(C,D) -> r1_tarski(k7_relat_1(C,A),k7_relat_1(D,B))))))) # label(t106_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	585 (all A all B (v1_relat_1(B) -> r1_tarski(k7_relat_1(B,A),B))) # label(t88_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	586 (all A (v1_relat_1(A) -> k9_relat_1(A,k1_xboole_0) = k1_xboole_0)) # label(t149_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	587 (all A (v1_relat_1(A) -> (v3_relat_1(A) <-> (all B (r2_hidden(B,k2_relat_1(A)) -> B = k1_xboole_0))))) # label(t184_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	588 (all A k1_xboole_0 = k8_relat_1(A,k1_xboole_0)) # label(t138_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	589 $T # label(t61_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	590 (all A k4_relat_1(k6_relat_1(A)) = k6_relat_1(A)) # label(t72_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	591 (all A all B (v1_relat_1(B) -> k3_xboole_0(B,k2_zfmisc_1(A,k2_relat_1(B))) = k7_relat_1(B,A))) # label(t96_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	592 (all A all B (v1_relat_1(B) -> (r1_xboole_0(k2_relat_1(B),A) <-> k1_xboole_0 = k10_relat_1(B,A)))) # label(t173_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	593 $T # label(t63_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	594 (all A all B (v1_relat_1(B) -> r1_tarski(k8_relat_1(A,B),B))) # label(t117_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	595 $T # label(t43_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	596 (all A (v1_relat_1(A) -> ((all B all C -r2_hidden(k4_tarski(B,C),A)) -> A = k1_xboole_0))) # label(t56_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	597 (all A all B all C (v1_relat_1(C) -> k8_relat_1(k2_xboole_0(A,B),C) = k2_xboole_0(k8_relat_1(A,C),k8_relat_1(B,C)))) # label(t134_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	598 (all A all B (v1_relat_1(B) -> k3_xboole_0(k1_relat_1(B),A) = k1_relat_1(k7_relat_1(B,A)))) # label(t90_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	599 (all A all B all C (v1_relat_1(C) -> (r1_tarski(A,B) -> r1_tarski(k7_relat_1(C,A),k7_relat_1(C,B))))) # label(t104_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	600 (all A all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> k8_relat_1(A,k5_relat_1(B,C)) = k5_relat_1(B,k8_relat_1(A,C)))))) # label(t139_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	601 (all A all B all C (v1_relat_1(C) -> (r1_tarski(A,B) -> k7_relat_1(C,A) = k7_relat_1(k7_relat_1(C,B),A)))) # label(t103_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	602 (all A all B all C (v1_relat_1(C) -> r1_tarski(k4_xboole_0(k9_relat_1(C,A),k9_relat_1(C,B)),k9_relat_1(C,k4_xboole_0(A,B))))) # label(t155_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	603 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> r1_tarski(k4_xboole_0(k1_relat_1(A),k1_relat_1(B)),k1_relat_1(k4_xboole_0(A,B))))))) # label(t15_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	604 (all A all B all C (v1_relat_1(C) -> (r1_tarski(A,B) -> r1_tarski(k10_relat_1(C,A),k10_relat_1(C,B))))) # label(t178_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	605 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (r1_tarski(k1_relat_1(A),k2_relat_1(B)) -> k2_relat_1(k5_relat_1(B,A)) = k2_relat_1(A)))))) # label(t47_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	606 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (r1_tarski(A,B) <-> (all C all D (r2_hidden(k4_tarski(C,D),A) -> r2_hidden(k4_tarski(C,D),B)))))))) # label(d3_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	607 (all A all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> r1_tarski(k5_relat_1(k7_relat_1(B,A),C),k5_relat_1(B,C)))))) # label(t92_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	608 $T # label(t2_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	609 (all A all B all C all D (v1_relat_1(D) -> (r2_hidden(k4_tarski(A,B),k5_relat_1(k6_relat_1(C),D)) <-> r2_hidden(A,C) & r2_hidden(k4_tarski(A,B),D)))) # label(t74_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	610 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> r1_tarski(k1_relat_1(k5_relat_1(A,B)),k1_relat_1(A)))))) # label(t44_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	611 (all A all B (v1_relat_1(B) -> (r1_tarski(A,B) -> v1_relat_1(A)))) # label(t3_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	612 $T # label(t42_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	613 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (r1_tarski(A,B) -> r1_tarski(k3_relat_1(A),k3_relat_1(B))))))) # label(t31_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	614 (all A all B (v1_relat_1(B) -> v1_relat_1(k8_relat_1(A,B)))) # label(dt_k8_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	615 (all A all B (v1_relat_1(B) -> k3_xboole_0(k2_relat_1(B),A) = k2_relat_1(k8_relat_1(A,B)))) # label(t119_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	616 (all A all B all C (v1_relat_1(C) -> (k1_tarski(k4_tarski(A,B)) = C -> k1_relat_1(C) = k1_tarski(A) & k2_relat_1(C) = k1_tarski(B)))) # label(t23_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	617 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> k3_relat_1(k2_xboole_0(A,B)) = k2_xboole_0(k3_relat_1(A),k3_relat_1(B)))))) # label(t33_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	618 (all A all B all C (v1_relat_1(C) -> (r2_hidden(k4_tarski(A,B),C) -> r2_hidden(A,k1_relat_1(C)) & r2_hidden(B,k2_relat_1(C))))) # label(t20_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	619 (all A all B all C (v1_relat_1(C) -> k7_relat_1(C,k2_xboole_0(A,B)) = k2_xboole_0(k7_relat_1(C,A),k7_relat_1(C,B)))) # label(t107_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	620 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> k2_relat_1(k2_xboole_0(A,B)) = k2_xboole_0(k2_relat_1(A),k2_relat_1(B)))))) # label(t26_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	621 (all A (k2_relat_1(k6_relat_1(A)) = A & k1_relat_1(k6_relat_1(A)) = A)) # label(t71_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	622 (all A (v1_relat_1(A) -> v1_relat_1(k4_relat_1(A)))) # label(dt_k4_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	623 $T # label(t85_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	624 (all A all B all C (v1_relat_1(C) -> (r1_tarski(A,B) -> r1_tarski(k8_relat_1(A,C),k8_relat_1(B,C))))) # label(t131_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	625 (all A k7_relat_1(k1_xboole_0,A) = k1_xboole_0) # label(t111_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	626 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> k7_relat_1(A,k1_relat_1(k7_relat_1(B,k1_relat_1(A)))) = k7_relat_1(A,k1_relat_1(B)))))) # label(t189_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	627 $T # label(t70_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	628 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> k4_relat_1(k5_relat_1(A,B)) = k5_relat_1(k4_relat_1(B),k4_relat_1(A)))))) # label(t54_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	629 (all A all B (v1_relat_1(B) -> r1_tarski(k9_relat_1(B,A),k9_relat_1(B,k1_relat_1(B))))) # label(t147_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	630 (all A all B (v3_relat_1(A) & v1_relat_1(A) -> v1_relat_1(k7_relat_1(A,B)) & v3_relat_1(k7_relat_1(A,B)))) # label(fc13_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	631 (all A all B all C (v1_relat_1(C) -> (r2_hidden(A,k1_relat_1(k7_relat_1(C,B))) <-> r2_hidden(A,k1_relat_1(C)) & r2_hidden(A,B)))) # label(t86_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	632 (all A all B all C (v1_relat_1(C) -> (r1_tarski(A,B) -> k7_relat_1(k7_relat_1(C,A),B) = k7_relat_1(C,A)))) # label(t102_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	633 (all A all B (v1_relat_1(B) -> r1_tarski(k5_relat_1(B,k6_relat_1(A)),B) & r1_tarski(k5_relat_1(k6_relat_1(A),B),B))) # label(t76_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	634 (all A all B (v1_relat_1(B) -> (r1_tarski(k2_relat_1(B),A) -> k5_relat_1(B,k6_relat_1(A)) = B))) # label(t79_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	635 (all A all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> (r1_tarski(B,C) -> r1_tarski(k10_relat_1(B,A),k10_relat_1(C,A))))))) # label(t179_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	636 (exists A (v1_relat_1(A) & -v1_xboole_0(A))) # label(rc2_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	637 (all A all B (v1_relat_1(B) -> k9_relat_1(B,k3_xboole_0(k1_relat_1(B),A)) = k9_relat_1(B,A))) # label(t145_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	638 (all A (v1_relat_1(A) -> (v2_relat_1(A) <-> -r2_hidden(k1_xboole_0,k2_relat_1(A))))) # label(d9_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	639 (all A (v1_relat_1(A) -> (all B (r1_xboole_0(B,k1_relat_1(A)) -> k7_relat_1(A,B) = k1_xboole_0)))) # label(t187_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	640 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> r1_tarski(k3_relat_1(k3_xboole_0(A,B)),k3_xboole_0(k3_relat_1(A),k3_relat_1(B))))))) # label(t34_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	641 (all A (v1_relat_1(A) -> (v3_relat_1(A) <-> r1_tarski(k2_relat_1(A),k1_tarski(k1_xboole_0))))) # label(d15_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	642 (all A (v1_relat_1(A) -> k2_relat_1(A) = k9_relat_1(A,k1_relat_1(A)))) # label(t146_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	643 (all A all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> (r1_tarski(B,C) -> r1_tarski(k8_relat_1(A,B),k8_relat_1(A,C))))))) # label(t132_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	644 (all A all B (v1_relat_1(B) -> r1_tarski(k1_relat_1(k7_relat_1(B,A)),k1_relat_1(B)))) # label(t89_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	645 (all A (v1_relat_1(A) -> (k1_xboole_0 = k2_relat_1(A) <-> k1_relat_1(A) = k1_xboole_0))) # label(t65_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	646 (all A all B (v1_relat_1(B) -> r1_tarski(k10_relat_1(B,A),k1_relat_1(B)))) # label(t167_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	647 $T # label(t165_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	648 (all A all B (v1_relat_1(B) & v1_relat_1(A) -> v1_relat_1(k4_xboole_0(A,B)))) # label(fc3_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	649 (all A all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> r1_tarski(k5_relat_1(B,k8_relat_1(A,C)),k5_relat_1(B,C)))))) # label(t122_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	650 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> k4_relat_1(k2_xboole_0(A,B)) = k2_xboole_0(k4_relat_1(A),k4_relat_1(B)))))) # label(t40_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	651 $T # label(t83_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	652 (exists A (v1_relat_1(A) & v3_relat_1(A))) # label(rc3_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	653 (all A all B all C (v1_relat_1(C) -> k10_relat_1(C,k2_xboole_0(A,B)) = k2_xboole_0(k10_relat_1(C,A),k10_relat_1(C,B)))) # label(t175_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	654 (all A all B (v1_relat_1(B) -> r1_tarski(k2_relat_1(k8_relat_1(A,B)),k2_relat_1(B)))) # label(t118_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	655 $T # label(t58_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	656 (all A all B (v1_relat_1(B) -> ((all C (r2_hidden(C,A) -> r2_hidden(k4_tarski(C,C),B))) -> r1_tarski(k6_relat_1(A),B)))) # label(t73_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	657 (all A all B (v1_relat_1(A) -> v1_relat_1(k7_relat_1(A,B)))) # label(dt_k7_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	658 (all A all B (v1_relat_1(B) -> r1_tarski(k1_relat_1(k7_relat_1(B,A)),A))) # label(t87_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	659 $T # label(t114_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	660 (all A all B (v1_relat_1(B) -> v1_relat_1(k4_xboole_0(B,A)))) # label(t10_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	661 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> k2_relat_1(k5_relat_1(A,B)) = k9_relat_1(B,k2_relat_1(A)))))) # label(t160_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	662 (all A all B all C (v1_relat_1(C) -> (r1_tarski(A,B) -> k8_relat_1(A,C) = k8_relat_1(A,k8_relat_1(B,C))))) # label(t130_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	663 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> (C = k5_relat_1(A,B) <-> (all D all E ((exists F (r2_hidden(k4_tarski(F,E),B) & r2_hidden(k4_tarski(D,F),A))) <-> r2_hidden(k4_tarski(D,E),C)))))))))) # label(d8_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	664 (all A all B all C (v1_relat_1(C) -> (r2_hidden(A,k2_relat_1(k8_relat_1(B,C))) <-> r2_hidden(A,k2_relat_1(C)) & r2_hidden(A,B)))) # label(t115_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	665 (all A (v1_relat_1(A) -> k5_relat_1(A,k1_xboole_0) = k1_xboole_0 & k1_xboole_0 = k5_relat_1(k1_xboole_0,A))) # label(t62_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	666 $T # label(t141_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	667 $T # label(t12_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	668 (all A all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> k7_relat_1(k5_relat_1(B,C),A) = k5_relat_1(k7_relat_1(B,A),C))))) # label(t112_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	669 (all A all B all C (v1_relat_1(C) -> r1_tarski(k9_relat_1(k7_relat_1(C,A),B),k9_relat_1(C,B)))) # label(t161_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	670 (all A all B (v1_relat_1(B) -> -(-v3_relat_1(k7_relat_1(B,A)) & v3_relat_1(B)))) # label(t190_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	671 $T # label(dt_k3_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	672 $T # label(t142_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	673 (all A all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> (r1_tarski(B,C) -> r1_tarski(k9_relat_1(B,A),k9_relat_1(C,A))))))) # label(t157_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	674 $T # label(t84_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	675 (all A (v1_relat_1(A) -> (all B all C (k10_relat_1(A,B) = C <-> (all D (r2_hidden(D,C) <-> (exists E (r2_hidden(E,B) & r2_hidden(k4_tarski(D,E),A))))))))) # label(d14_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	676 (all A (v1_relat_1(A) -> r1_tarski(A,k2_zfmisc_1(k1_relat_1(A),k2_relat_1(A))))) # label(t21_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	677 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C all D (k7_relat_1(A,D) = k7_relat_1(B,D) & r1_tarski(C,D) -> k7_relat_1(B,C) = k7_relat_1(A,C))))))) # label(t188_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	678 (all A all B (v1_relat_1(A) & v1_relat_1(B) -> v1_relat_1(k3_xboole_0(A,B)))) # label(fc1_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	679 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> k5_relat_1(A,k5_relat_1(B,C)) = k5_relat_1(k5_relat_1(A,B),C))))))) # label(t55_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	680 (all A all B (v1_relat_1(B) -> k8_relat_1(A,B) = k8_relat_1(A,k8_relat_1(A,B)))) # label(t128_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	681 (all A all B all C (v1_relat_1(C) -> (all D (v1_relat_1(D) -> (r1_tarski(C,D) & r1_tarski(A,B) -> r1_tarski(k8_relat_1(A,C),k8_relat_1(B,D))))))) # label(t133_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	682 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> k4_relat_1(k4_xboole_0(A,B)) = k4_xboole_0(k4_relat_1(A),k4_relat_1(B)))))) # label(t41_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	683 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C all D (k7_relat_1(B,C) = k7_relat_1(A,C) & k7_relat_1(A,D) = k7_relat_1(B,D) -> k7_relat_1(A,k2_xboole_0(C,D)) = k7_relat_1(B,k2_xboole_0(C,D)))))))) # label(t185_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	684 (all A all B all C (v1_relat_1(C) -> k4_xboole_0(k7_relat_1(C,A),k7_relat_1(C,B)) = k7_relat_1(C,k4_xboole_0(A,B)))) # label(t109_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	685 (all A all B (v1_relat_1(B) -> -((all C -r2_hidden(C,k2_relat_1(B))) & r2_hidden(A,k1_relat_1(B))))) # label(t18_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	686 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> r1_tarski(k2_relat_1(k5_relat_1(A,B)),k2_relat_1(B)))))) # label(t45_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	687 (all A all B (v1_relat_1(B) -> r1_tarski(k3_xboole_0(k1_relat_1(B),A),k9_relat_1(k4_relat_1(B),k9_relat_1(B,A))))) # label(t163_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	688 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> (all D (v1_relat_1(D) -> (r1_tarski(C,D) & r1_tarski(A,B) -> r1_tarski(k5_relat_1(A,C),k5_relat_1(B,D))))))))))) # label(t50_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	689 (all A all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> (k8_relat_1(A,B) = C <-> (all D all E (r2_hidden(k4_tarski(D,E),B) & r2_hidden(E,A) <-> r2_hidden(k4_tarski(D,E),C)))))))) # label(d12_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	690 (all A (v1_relat_1(A) -> A = k5_relat_1(k6_relat_1(k1_relat_1(A)),A))) # label(t78_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	691 (all A all B all C (v1_relat_1(C) -> (C = k1_tarski(k4_tarski(A,B)) -> k3_relat_1(C) = k2_tarski(A,B)))) # label(t32_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	692 (all A (v1_relat_1(A) -> k10_relat_1(A,k1_xboole_0) = k1_xboole_0)) # label(t171_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	693 $T # label(t8_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	694 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> r1_tarski(k1_relat_1(k3_xboole_0(A,B)),k3_xboole_0(k1_relat_1(A),k1_relat_1(B))))))) # label(t14_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	695 $T # label(t16_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	696 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> ((all C all D (r2_hidden(k4_tarski(D,C),A) <-> r2_hidden(k4_tarski(C,D),B))) <-> k4_relat_1(A) = B))))) # label(d7_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	697 (all A (v1_relat_1(A) -> k2_relat_1(k4_relat_1(A)) = k1_relat_1(A) & k1_relat_1(k4_relat_1(A)) = k2_relat_1(A))) # label(t37_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	698 (all A all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> (all D (v1_relat_1(D) -> (k1_relat_1(B) = A & r1_tarski(k2_relat_1(C),A) & k5_relat_1(C,B) = k6_relat_1(k1_relat_1(D)) & k5_relat_1(B,D) = k6_relat_1(A) -> C = D))))))) # label(t82_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	699 $T # label(t36_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	700 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> r1_tarski(k4_xboole_0(k2_relat_1(A),k2_relat_1(B)),k2_relat_1(k4_xboole_0(A,B))))))) # label(t28_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	701 (all A all B (v1_relat_1(B) -> (r1_tarski(k1_relat_1(B),A) -> B = k7_relat_1(B,A)))) # label(t97_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	702 (exists A (v1_xboole_0(A) & v1_relat_1(A))) # label(rc1_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	703 (all A all B (v1_relat_1(B) -> (r1_xboole_0(k1_relat_1(B),A) <-> k1_xboole_0 = k9_relat_1(B,A)))) # label(t151_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	704 (all A (v1_relat_1(A) -> A = k8_relat_1(k2_relat_1(A),A))) # label(t126_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	705 (all A (v1_relat_1(A) & -v1_xboole_0(A) -> -v1_xboole_0(k2_relat_1(A)))) # label(fc6_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	706 (all A (v1_relat_1(A) -> A = k4_relat_1(k4_relat_1(A)))) # label(involutiveness_k4_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	707 (all A all B all C (v1_relat_1(C) -> k8_relat_1(k3_xboole_0(A,B),C) = k8_relat_1(A,k8_relat_1(B,C)))) # label(t127_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	708 (all A all B all C all D all E (v1_relat_1(E) -> (E = k2_tarski(k4_tarski(A,B),k4_tarski(C,D)) -> k2_relat_1(E) = k2_tarski(B,D) & k1_relat_1(E) = k2_tarski(A,C)))) # label(t24_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	709 (all A all B (v1_relat_1(B) & v1_relat_1(A) -> v1_relat_1(k2_xboole_0(A,B)))) # label(fc2_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	710 $T # label(t1_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	711 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> k5_relat_1(A,k2_xboole_0(B,C)) = k2_xboole_0(k5_relat_1(A,B),k5_relat_1(A,C)))))))) # label(t51_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	712 (all A all B all C (v1_relat_1(C) -> (r1_tarski(A,B) -> k8_relat_1(A,C) = k8_relat_1(B,k8_relat_1(A,C))))) # label(t129_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	713 (all A all B (v1_relat_1(B) -> k7_relat_1(k7_relat_1(B,A),A) = k7_relat_1(B,A))) # label(t101_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	714 (all A all B all C (v1_relat_1(C) -> r1_tarski(k10_relat_1(C,k3_xboole_0(A,B)),k3_xboole_0(k10_relat_1(C,A),k10_relat_1(C,B))))) # label(t176_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	715 (all A v1_relat_1(k6_relat_1(A))) # label(dt_k6_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	716 (all A (v1_relat_1(A) -> k7_relat_1(A,k1_relat_1(A)) = A)) # label(t98_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	717 (all A all B (v1_relat_1(B) -> -((all C -r2_hidden(C,k1_relat_1(B))) & r2_hidden(A,k2_relat_1(B))))) # label(t19_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	718 (all A all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> (r1_tarski(B,C) -> r1_tarski(k7_relat_1(B,A),k7_relat_1(C,A))))))) # label(t105_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	719 $T # label(t69_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	720 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> (r1_tarski(A,B) -> r1_tarski(k5_relat_1(C,A),k5_relat_1(C,B))))))))) # label(t48_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	721 (all A (v1_relat_1(A) <-> (all B -((all C all D k4_tarski(C,D) != B) & r2_hidden(B,A))))) # label(d1_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	722 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> r1_tarski(k5_relat_1(A,k3_xboole_0(B,C)),k3_xboole_0(k5_relat_1(A,B),k5_relat_1(A,C))))))))) # label(t52_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	723 (all A all B all C (v1_relat_1(C) -> k7_relat_1(k7_relat_1(C,A),B) = k7_relat_1(C,k3_xboole_0(A,B)))) # label(t100_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	724 (all A k9_relat_1(k1_xboole_0,A) = k1_xboole_0) # label(t150_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	725 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> k2_xboole_0(k1_relat_1(A),k1_relat_1(B)) = k1_relat_1(k2_xboole_0(A,B)))))) # label(t13_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	726 $T # label(t59_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	727 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (r1_tarski(A,B) -> r1_tarski(k2_relat_1(A),k2_relat_1(B)) & r1_tarski(k1_relat_1(A),k1_relat_1(B))))))) # label(t25_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	728 (all A all B all C (v1_relat_1(C) -> k8_relat_1(A,k7_relat_1(C,B)) = k7_relat_1(k8_relat_1(A,C),B))) # label(t140_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	729 $T # label(t164_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	730 (all A all B (v1_relat_1(B) & v1_relat_1(A) -> v1_relat_1(k5_relat_1(A,B)))) # label(dt_k5_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	731 (all A all B all C (v1_relat_1(C) -> (all D (v1_relat_1(D) -> (r1_tarski(A,B) & r1_tarski(C,D) -> r1_tarski(k9_relat_1(C,A),k9_relat_1(D,B))))))) # label(t158_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.35	732 (all A all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> (r1_tarski(C,B) & r1_tarski(k1_relat_1(C),A) -> r1_tarski(C,k7_relat_1(B,A))))))) # label(t186_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	733 (all A all B (v1_relat_1(B) -> ((all C all D (r2_hidden(C,A) & C = D <-> r2_hidden(k4_tarski(C,D),B))) <-> k6_relat_1(A) = B))) # label(d10_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	734 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> k10_relat_1(A,k1_relat_1(B)) = k1_relat_1(k5_relat_1(A,B)))))) # label(t182_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	735 $T # label(dt_k2_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	736 (all A all B v1_relat_1(k1_tarski(k4_tarski(A,B)))) # label(t4_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	737 (all A all B (v1_relat_1(B) -> k5_relat_1(k6_relat_1(A),B) = k7_relat_1(B,A))) # label(t94_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	738 (all A (v1_relat_1(A) -> (all B ((all C (r2_hidden(C,B) <-> (exists D r2_hidden(k4_tarski(D,C),A)))) <-> B = k2_relat_1(A))))) # label(d5_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	739 (all A all B all C all D (v1_relat_1(D) -> (r2_hidden(k4_tarski(A,B),k5_relat_1(D,k6_relat_1(C))) <-> r2_hidden(k4_tarski(A,B),D) & r2_hidden(B,C)))) # label(t75_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	740 (all A all B (v1_relat_1(B) -> r1_tarski(k3_xboole_0(k2_relat_1(B),A),k10_relat_1(k4_relat_1(B),k10_relat_1(B,A))))) # label(t183_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	741 (all A (v1_relat_1(A) -> A = k5_relat_1(A,k6_relat_1(k2_relat_1(A))))) # label(t80_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	742 (all A all B all C (v1_relat_1(C) -> (r2_hidden(A,k10_relat_1(C,B)) <-> (exists D (r2_hidden(D,k2_relat_1(C)) & r2_hidden(k4_tarski(A,D),C) & r2_hidden(D,B)))))) # label(t166_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	743 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> ((all C all D (r2_hidden(k4_tarski(C,D),A) <-> r2_hidden(k4_tarski(C,D),B))) <-> A = B))))) # label(d2_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	744 (all A (v1_xboole_0(A) -> v1_xboole_0(k2_relat_1(A)) & v1_relat_1(k2_relat_1(A)))) # label(fc8_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	745 (exists A (v1_relat_1(A) & (all B all C (p1_s1_relat_1(B,C) & r2_hidden(C,f2_s1_relat_1) & r2_hidden(B,f1_s1_relat_1) <-> r2_hidden(k4_tarski(B,C),A))))) # label(s1_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	746 (all A all B (v1_relat_1(B) -> (r1_tarski(k1_relat_1(B),A) -> B = k5_relat_1(k6_relat_1(A),B)))) # label(t77_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	747 (all A all B (v1_relat_1(B) -> (r1_tarski(A,k2_relat_1(B)) -> A = k2_relat_1(k8_relat_1(A,B))))) # label(t120_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	748 (all A (v1_relat_1(A) -> r1_tarski(k1_relat_1(A),k3_relat_1(A)) & r1_tarski(k2_relat_1(A),k3_relat_1(A)))) # label(t29_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	749 (all A all B all C (v1_relat_1(C) -> k3_xboole_0(k8_relat_1(A,C),k8_relat_1(B,C)) = k8_relat_1(k3_xboole_0(A,B),C))) # label(t135_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	750 (all A (v1_relat_1(A) -> k1_relat_1(A) = k10_relat_1(A,k2_relat_1(A)))) # label(t169_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	751 (all A all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> r1_tarski(k5_relat_1(B,k7_relat_1(C,A)),k5_relat_1(B,C)))))) # label(t93_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	752 $T # label(t17_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	753 (all A (v1_relat_1(A) -> k3_relat_1(A) = k2_xboole_0(k1_relat_1(A),k2_relat_1(A)))) # label(d6_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	754 (all A (v1_relat_1(A) -> k7_relat_1(A,k1_xboole_0) = k1_xboole_0)) # label(t110_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	755 (all A all B all C (v1_relat_1(C) -> (r1_tarski(A,B) -> r1_tarski(k9_relat_1(C,A),k9_relat_1(C,B))))) # label(t156_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	756 (all A (v1_relat_1(A) -> A = k3_xboole_0(A,k2_zfmisc_1(k1_relat_1(A),k2_relat_1(A))))) # label(t22_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	757 (all A all B (v1_relat_1(B) -> -(A != k1_xboole_0 & r1_tarski(A,k2_relat_1(B)) & k10_relat_1(B,A) = k1_xboole_0))) # label(t174_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	758 (all A all B all C all D v1_relat_1(k2_tarski(k4_tarski(A,B),k4_tarski(C,D)))) # label(t5_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	759 (all A all B (v1_relat_1(B) -> r1_tarski(k9_relat_1(B,A),k2_relat_1(B)))) # label(t144_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	760 (all A all B (v1_xboole_0(A) & v1_relat_1(B) -> v1_xboole_0(k5_relat_1(A,B)) & v1_relat_1(k5_relat_1(A,B)))) # label(fc9_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	761 $T # label(t68_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	762 $T # label(t7_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	763 (all A (v1_relat_1(A) -> (all B all C (v1_relat_1(C) -> ((all D all E (r2_hidden(k4_tarski(D,E),C) <-> r2_hidden(k4_tarski(D,E),A) & r2_hidden(D,B))) <-> k7_relat_1(A,B) = C))))) # label(d11_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	764 (all A all B (v1_relat_1(B) -> k8_relat_1(A,B) = k3_xboole_0(B,k2_zfmisc_1(k1_relat_1(B),A)))) # label(t124_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	765 $T # label(dt_k10_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	766 (all A all B all C (v1_relat_1(C) -> k4_xboole_0(k8_relat_1(A,C),k8_relat_1(B,C)) = k8_relat_1(k4_xboole_0(A,B),C))) # label(t136_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	767 (all A (v1_relat_1(A) -> (k1_xboole_0 = k2_relat_1(A) | k1_relat_1(A) = k1_xboole_0 -> A = k1_xboole_0))) # label(t64_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	768 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (r1_xboole_0(k2_relat_1(A),k1_relat_1(B)) -> k1_xboole_0 = k5_relat_1(A,B)))))) # label(t67_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	769 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> r1_tarski(k4_xboole_0(k5_relat_1(A,B),k5_relat_1(A,C)),k5_relat_1(A,k4_xboole_0(B,C))))))))) # label(t53_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	770 $T # label(t162_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	771 (all A (v1_relat_1(A) -> k3_relat_1(k4_relat_1(A)) = k3_relat_1(A))) # label(t38_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	772 (all A (v1_relat_1(A) -> k8_relat_1(k1_xboole_0,A) = k1_xboole_0)) # label(t137_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	773 $T # label(t57_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	774 (all A all B all C (v1_relat_1(C) -> k7_relat_1(C,k3_xboole_0(A,B)) = k3_xboole_0(k7_relat_1(C,A),k7_relat_1(C,B)))) # label(t108_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	775 (all A all B v1_relat_1(k2_zfmisc_1(A,B))) # label(t6_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	776 $T # label(t35_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	777 (all A all B all C (v1_relat_1(C) -> r1_tarski(k4_xboole_0(k10_relat_1(C,A),k10_relat_1(C,B)),k10_relat_1(C,k4_xboole_0(A,B))))) # label(t177_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	778 (all A (v1_relat_1(A) -> (all B all C (k9_relat_1(A,B) = C <-> (all D ((exists E (r2_hidden(E,B) & r2_hidden(k4_tarski(E,D),A))) <-> r2_hidden(D,C))))))) # label(d13_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	779 (all A all B all C (v1_relat_1(C) -> k2_xboole_0(k9_relat_1(C,A),k9_relat_1(C,B)) = k9_relat_1(C,k2_xboole_0(A,B)))) # label(t153_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	780 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (r1_tarski(k2_relat_1(A),k1_relat_1(B)) -> k1_relat_1(k5_relat_1(A,B)) = k1_relat_1(A)))))) # label(t46_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	781 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> (r1_tarski(A,B) -> r1_tarski(k5_relat_1(A,C),k5_relat_1(B,C))))))))) # label(t49_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	782 (all A all B (v1_relat_1(B) -> (r1_xboole_0(k1_relat_1(B),A) <-> k7_relat_1(B,A) = k1_xboole_0))) # label(t95_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	783 (all A all B (v1_relat_1(B) -> r1_tarski(k2_relat_1(k7_relat_1(B,A)),k2_relat_1(B)))) # label(t99_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	784 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> r1_tarski(k2_relat_1(k3_xboole_0(A,B)),k3_xboole_0(k2_relat_1(A),k2_relat_1(B))))))) # label(t27_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	785 (all A all B (v1_relat_1(B) -> (r1_tarski(A,k1_relat_1(B)) -> k1_relat_1(k7_relat_1(B,A)) = A))) # label(t91_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	786 (all A (v1_xboole_0(A) -> v1_xboole_0(k1_relat_1(A)) & v1_relat_1(k1_relat_1(A)))) # label(fc7_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	787 (all A all B (v1_relat_1(B) -> k10_relat_1(B,A) = k10_relat_1(B,k3_xboole_0(k2_relat_1(B),A)))) # label(t168_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	788 $T # label(dt_k1_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	789 (all A all B (v1_relat_1(B) -> k5_relat_1(B,k6_relat_1(A)) = k8_relat_1(A,B))) # label(t123_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	790 (all A all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> r1_tarski(k5_relat_1(k8_relat_1(A,B),C),k5_relat_1(B,C)))))) # label(t121_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	791 (all A all B all C (v1_relat_1(C) -> (r2_hidden(k4_tarski(A,B),C) -> r2_hidden(A,k3_relat_1(C)) & r2_hidden(B,k3_relat_1(C))))) # label(t30_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	792 (all A all B (v1_relat_1(B) -> (r1_tarski(k2_relat_1(B),A) -> B = k8_relat_1(A,B)))) # label(t125_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	793 $T # label(dt_k9_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	794 (all A (v1_xboole_0(A) -> v1_xboole_0(k4_relat_1(A)) & v1_relat_1(k4_relat_1(A)))) # label(fc11_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	795 (all A all B (v1_relat_1(B) -> r1_tarski(k2_relat_1(k8_relat_1(A,B)),A))) # label(t116_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	796 (all A all B all C (v1_relat_1(C) -> r1_tarski(k9_relat_1(C,k3_xboole_0(A,B)),k3_xboole_0(k9_relat_1(C,A),k9_relat_1(C,B))))) # label(t154_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	797 (all A all B (v1_relat_1(B) & v1_xboole_0(A) -> v1_xboole_0(k5_relat_1(B,A)) & v1_relat_1(k5_relat_1(B,A)))) # label(fc10_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	798 $T # label(t11_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	799 (all A all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> k10_relat_1(k5_relat_1(B,C),A) = k10_relat_1(B,k10_relat_1(C,A)))))) # label(t181_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	800 (all A all B all C (v1_relat_1(C) -> ((exists D (r2_hidden(D,k1_relat_1(C)) & r2_hidden(D,B) & r2_hidden(k4_tarski(D,A),C))) <-> r2_hidden(A,k9_relat_1(C,B))))) # label(t143_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	801 (all A (-v1_xboole_0(A) & v1_relat_1(A) -> -v1_xboole_0(k1_relat_1(A)))) # label(fc5_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	802 (all A (v1_relat_1(A) -> (all B (k1_relat_1(A) = B <-> (all C (r2_hidden(C,B) <-> (exists D r2_hidden(k4_tarski(C,D),A)))))))) # label(d4_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	803 (all A all B (v1_relat_1(B) -> v1_relat_1(k3_xboole_0(A,B)))) # label(t9_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	804 (all A all B (v1_relat_1(B) -> k9_relat_1(B,A) = k2_relat_1(k7_relat_1(B,A)))) # label(t148_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	805 (all A k10_relat_1(k1_xboole_0,A) = k1_xboole_0) # label(t172_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	806 (all A all B (v1_relat_1(B) -> -(k9_relat_1(B,A) = k1_xboole_0 & r1_tarski(A,k1_relat_1(B)) & k1_xboole_0 != A))) # label(t152_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	807 (all A all B (v1_relat_1(B) -> r1_tarski(k10_relat_1(B,A),k10_relat_1(B,k2_relat_1(B))))) # label(t170_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	808 (all A all B all C (v1_relat_1(C) -> (all D (v1_relat_1(D) -> (r1_tarski(A,B) & r1_tarski(C,D) -> r1_tarski(k10_relat_1(C,A),k10_relat_1(D,B))))))) # label(t180_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	809 (all A all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> k9_relat_1(C,k9_relat_1(B,A)) = k9_relat_1(k5_relat_1(B,C),A))))) # label(t159_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	810 (all A (v1_xboole_0(A) -> v1_relat_1(A))) # label(cc1_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	811 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> k3_xboole_0(k4_relat_1(A),k4_relat_1(B)) = k4_relat_1(k3_xboole_0(A,B)))))) # label(t39_relat_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	812 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (k2_relat_1(B) = k1_relat_1(A) & v2_funct_1(k5_relat_1(B,A)) -> v2_funct_1(B) & v2_funct_1(A)))))) # label(t48_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	813 $T # label(d11_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	814 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> ((all D (r2_hidden(D,k1_relat_1(A)) & r2_hidden(k1_funct_1(A,D),k1_relat_1(B)) <-> r2_hidden(D,k1_relat_1(C)))) & (all D (r2_hidden(D,k1_relat_1(C)) -> k1_funct_1(C,D) = k1_funct_1(B,k1_funct_1(A,D)))) -> k5_relat_1(A,B) = C))))))) # label(t20_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	815 $T # label(t92_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	816 $T # label(t113_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	817 $T # label(t112_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	818 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v2_funct_1(A) <-> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (k5_relat_1(C,A) = k5_relat_1(B,A) & k1_relat_1(C) = k1_relat_1(B) & r1_tarski(k2_relat_1(C),k1_relat_1(A)) & r1_tarski(k2_relat_1(B),k1_relat_1(A)) -> B = C)))))))) # label(t49_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	819 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C (k9_relat_1(A,B) = C <-> (all D (r2_hidden(D,C) <-> (exists E (r2_hidden(E,k1_relat_1(A)) & r2_hidden(E,B) & k1_funct_1(A,E) = D)))))))) # label(d12_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	820 (all A (v1_funct_1(A) & v2_relat_1(A) & v1_relat_1(A) -> v1_setfam_1(k2_relat_1(A)))) # label(fc6_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	821 $T # label(t4_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	822 $T # label(t91_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	823 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> v1_relat_1(k8_relat_1(A,B)) & v1_funct_1(k8_relat_1(A,B)))) # label(fc5_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	824 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> ((all C all D (r2_hidden(D,k1_relat_1(B)) & r2_hidden(C,k1_relat_1(A)) -> (D = k1_funct_1(A,C) <-> k1_funct_1(B,D) = C))) & k1_relat_1(B) = k2_relat_1(A) & k2_relat_1(B) = k1_relat_1(A) & v2_funct_1(A) -> k2_funct_1(A) = B))))) # label(t60_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	825 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (v2_funct_1(B) & r2_hidden(A,k1_relat_1(B)) -> A = k1_funct_1(k2_funct_1(B),k1_funct_1(B,A)) & A = k1_funct_1(k5_relat_1(B,k2_funct_1(B)),A)))) # label(t56_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	826 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (r2_hidden(A,k1_relat_1(B)) -> k9_relat_1(B,k1_tarski(A)) = k1_tarski(k1_funct_1(B,A))))) # label(t117_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	827 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C ((-r2_hidden(B,k1_relat_1(A)) -> (C = k1_xboole_0 <-> k1_funct_1(A,B) = C)) & (r2_hidden(B,k1_relat_1(A)) -> (C = k1_funct_1(A,B) <-> r2_hidden(k4_tarski(B,C),A))))))) # label(d4_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	828 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (k6_relat_1(A) = B <-> A = k1_relat_1(B) & (all C (r2_hidden(C,A) -> C = k1_funct_1(B,C)))))) # label(t34_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	829 (all A (v1_relat_1(A) & v1_funct_1(A) -> ((all B (r2_hidden(B,k1_relat_1(A)) -> v1_xboole_0(k1_funct_1(A,B)))) <-> v3_relat_1(A)))) # label(d14_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	830 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(k1_funct_1(C,A),k1_relat_1(B)) & r2_hidden(A,k1_relat_1(C)) <-> r2_hidden(A,k1_relat_1(k5_relat_1(C,B)))))))) # label(t21_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	831 $T # label(t100_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	832 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_funct_1(k2_funct_1(A)) & v1_relat_1(k2_funct_1(A)))) # label(dt_k2_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	833 $T # label(t69_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	834 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> k9_relat_1(k8_relat_1(A,C),B) = k3_xboole_0(A,k9_relat_1(C,B)))) # label(t126_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	835 (all A k2_funct_1(k6_relat_1(A)) = k6_relat_1(A)) # label(t67_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	836 $T # label(t140_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	837 (exists A (v1_relat_1(A) & f1_s4_funct_1 = k1_relat_1(A) & (all B (m1_subset_1(B,f1_s4_funct_1) -> k1_funct_1(A,B) = f2_s4_funct_1(B))) & v1_funct_1(A))) # label(s4_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	838 (all A ((all B all C all D (r2_hidden(k4_tarski(B,C),A) & r2_hidden(k4_tarski(B,D),A) -> D = C)) <-> v1_funct_1(A))) # label(d1_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	839 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> r1_tarski(k9_relat_1(B,k10_relat_1(B,A)),A))) # label(t145_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	840 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(A,B) -> k7_relat_1(k7_relat_1(C,A),B) = k7_relat_1(C,A) & k7_relat_1(C,A) = k7_relat_1(k7_relat_1(C,B),A)))) # label(t82_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	841 (all A (v1_funct_1(A) & v1_relat_1(A) -> ((all B all C k9_relat_1(A,k3_xboole_0(B,C)) = k3_xboole_0(k9_relat_1(A,B),k9_relat_1(A,C))) -> v2_funct_1(A)))) # label(t122_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	842 (all A (v1_funct_1(A) & v1_relat_1(A) -> ((all B -((all C k1_tarski(C) != k10_relat_1(A,k1_tarski(B))) & r2_hidden(B,k2_relat_1(A)))) <-> v2_funct_1(A)))) # label(t144_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	843 $T # label(t98_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	844 $T # label(t26_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	845 $T # label(t96_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	846 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(A,k1_relat_1(k5_relat_1(C,B))) -> k1_funct_1(B,k1_funct_1(C,A)) = k1_funct_1(k5_relat_1(C,B),A)))))) # label(t22_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	847 $T # label(t31_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	848 $T # label(t94_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	849 (all A (v1_relat_1(A) & v1_funct_1(A) -> ((all B all C k9_relat_1(A,k4_xboole_0(B,C)) = k4_xboole_0(k9_relat_1(A,B),k9_relat_1(A,C))) -> v2_funct_1(A)))) # label(t124_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	850 $T # label(t115_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	851 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> k9_relat_1(C,k3_xboole_0(A,k10_relat_1(C,B))) = k3_xboole_0(k9_relat_1(C,A),B))) # label(t150_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	852 $T # label(t135_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	853 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (v2_funct_1(A) & k5_relat_1(A,B) = k6_relat_1(k1_relat_1(A)) & k2_relat_1(A) = k1_relat_1(B) -> B = k2_funct_1(A)))))) # label(t63_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	854 $T # label(t7_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	855 $T # label(t141_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	856 (all A (v1_funct_1(A) & v1_xboole_0(A) & v1_relat_1(A) -> v1_relat_1(A) & v2_funct_1(A) & v1_funct_1(A))) # label(cc2_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	857 $T # label(t119_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	858 (all A all B all C (r2_hidden(A,f1_s2_funct_1) & p1_s2_funct_1(A,C) & p1_s2_funct_1(A,B) -> C = B)) & (all A -((all B -p1_s2_funct_1(A,B)) & r2_hidden(A,f1_s2_funct_1))) -> (exists A (k1_relat_1(A) = f1_s2_funct_1 & (all B (r2_hidden(B,f1_s2_funct_1) -> p1_s2_funct_1(B,k1_funct_1(A,B)))) & v1_funct_1(A) & v1_relat_1(A))) # label(s2_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	859 $T # label(t93_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	860 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> ((all C (r2_hidden(C,k1_relat_1(A)) -> k1_funct_1(B,C) = k1_funct_1(A,C))) & k1_relat_1(A) = k1_relat_1(B) -> B = A))))) # label(t9_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	861 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (k7_relat_1(C,A) = B <-> (all D (r2_hidden(D,k1_relat_1(B)) -> k1_funct_1(B,D) = k1_funct_1(C,D))) & k1_relat_1(B) = k3_xboole_0(k1_relat_1(C),A)))))) # label(t68_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	862 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(A,k1_relat_1(C)) & k1_funct_1(C,A) = B <-> r2_hidden(k4_tarski(A,B),C)))) # label(t8_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	863 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(B,k3_xboole_0(k1_relat_1(C),A)) -> k1_funct_1(k7_relat_1(C,A),B) = k1_funct_1(C,B)))) # label(t71_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	864 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(B,k3_xboole_0(k1_relat_1(C),A)) -> k1_funct_1(C,B) = k1_funct_1(k5_relat_1(k6_relat_1(A),C),B)))) # label(t38_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	865 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (A = k1_relat_1(B) & r1_tarski(k2_relat_1(C),A) & B = k5_relat_1(C,B) & v2_funct_1(B) & k1_relat_1(C) = A -> k6_relat_1(A) = C))))) # label(t50_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	866 (exists A (v1_funct_1(A) & v1_relat_1(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	867 $T # label(t104_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	868 $T # label(t136_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	869 (all A (v1_funct_1(A) & v1_relat_1(A) -> ((all B r1_tarski(k10_relat_1(A,k9_relat_1(A,B)),B)) -> v2_funct_1(A)))) # label(t153_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	870 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> k3_xboole_0(k1_relat_1(B),A) = k1_relat_1(k5_relat_1(k6_relat_1(A),B)))) # label(t37_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	871 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (r1_tarski(k2_relat_1(B),k1_relat_1(A)) & v2_funct_1(k5_relat_1(B,A)) -> v2_funct_1(B)))))) # label(t47_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	872 $T # label(t105_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	873 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (v2_funct_1(A) & v2_funct_1(B) -> k5_relat_1(k2_funct_1(B),k2_funct_1(A)) = k2_funct_1(k5_relat_1(A,B))))))) # label(t66_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	874 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> r1_tarski(k2_relat_1(k7_relat_1(B,A)),k2_relat_1(B)) & r1_tarski(k1_relat_1(k7_relat_1(B,A)),k1_relat_1(B)))) # label(t76_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	875 $T # label(t101_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	876 $T # label(t127_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	877 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (v2_funct_1(A) & k1_relat_1(A) = k2_relat_1(B) & k5_relat_1(B,A) = k6_relat_1(k2_relat_1(A)) -> B = k2_funct_1(A)))))) # label(t64_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	878 (all A all B -(-(A = k1_xboole_0 & B != k1_xboole_0) & (all C (v1_funct_1(C) & v1_relat_1(C) -> -(k1_relat_1(C) = B & r1_tarski(k2_relat_1(C),A)))))) # label(t18_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	879 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(A,k1_relat_1(B)) -> k1_funct_1(k5_relat_1(B,C),A) = k1_funct_1(C,k1_funct_1(B,A))))))) # label(t23_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	880 (all A (v1_funct_1(A) & v1_relat_1(A) -> ((all B all C (r2_hidden(B,k1_relat_1(A)) & k1_funct_1(A,C) = k1_funct_1(A,B) & r2_hidden(C,k1_relat_1(A)) -> B = C)) <-> v2_funct_1(A)))) # label(d8_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	881 (all A (v1_relat_1(A) & v2_funct_1(A) & v1_funct_1(A) -> v1_funct_1(k4_relat_1(A)) & v1_relat_1(k4_relat_1(A)))) # label(fc3_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	882 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (v2_funct_1(A) & k2_relat_1(k5_relat_1(B,A)) = k2_relat_1(A) -> r1_tarski(k1_relat_1(A),k2_relat_1(B))))))) # label(t51_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	883 (all A (v1_funct_1(A) & v1_relat_1(A) -> (v2_funct_1(A) -> k1_relat_1(A) = k2_relat_1(k5_relat_1(A,k2_funct_1(A))) & k1_relat_1(A) = k1_relat_1(k5_relat_1(A,k2_funct_1(A)))))) # label(t58_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	884 $T # label(t24_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	885 $T # label(t11_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	886 $T # label(t74_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	887 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> r1_tarski(k1_relat_1(k8_relat_1(A,B)),k1_relat_1(B)) & r1_tarski(k2_relat_1(k8_relat_1(A,B)),k2_relat_1(B)))) # label(t89_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	888 (all A ((all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (k1_relat_1(B) = A & k1_relat_1(C) = A -> C = B))))) -> k1_xboole_0 = A)) # label(t16_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	889 $T # label(t95_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	890 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (k2_relat_1(C) = k1_tarski(A) & k1_tarski(A) = k2_relat_1(B) & k1_relat_1(B) = k1_relat_1(C) -> B = C))))) # label(t17_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	891 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v2_funct_1(A) -> k2_relat_1(A) = k1_relat_1(k2_funct_1(A)) & k2_relat_1(k2_funct_1(A)) = k1_relat_1(A)))) # label(t55_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	892 (all A all B (v1_relat_1(B) -> (r2_hidden(A,k2_relat_1(B)) <-> k10_relat_1(B,k1_tarski(A)) != k1_xboole_0))) # label(t142_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	893 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_tarski(k2_relat_1(B),A) & (all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (k5_relat_1(B,C) = k5_relat_1(B,D) & k1_relat_1(D) = A & k1_relat_1(C) = A -> D = C))))) -> A = k2_relat_1(B)))) # label(t33_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.36	894 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (v2_funct_1(B) & v2_funct_1(A) -> v2_funct_1(k5_relat_1(A,B))))))) # label(t46_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	895 (all A (v1_funct_1(A) & v1_relat_1(A) -> (v2_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> ((all C all D ((r2_hidden(D,k1_relat_1(A)) & k1_funct_1(A,D) = C -> r2_hidden(C,k2_relat_1(A)) & k1_funct_1(B,C) = D) & (r2_hidden(C,k2_relat_1(A)) & k1_funct_1(B,C) = D -> r2_hidden(D,k1_relat_1(A)) & k1_funct_1(A,D) = C))) & k2_relat_1(A) = k1_relat_1(B) <-> B = k2_funct_1(A))))))) # label(t54_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	896 $T # label(t29_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	897 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (v2_funct_1(B) -> v2_funct_1(k8_relat_1(A,B))))) # label(t99_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	898 $T # label(t6_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	899 $T # label(t81_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	900 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> k3_xboole_0(A,k9_relat_1(B,k1_relat_1(B))) = k9_relat_1(B,k10_relat_1(B,A)))) # label(t148_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	901 (all A (v1_relat_1(k6_relat_1(A)) & v1_funct_1(k6_relat_1(A)))) # label(fc2_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	902 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (k5_relat_1(B,D) = k5_relat_1(B,C) & k1_relat_1(D) = A & k1_relat_1(C) = A & k2_relat_1(B) = A -> C = D))))))) # label(t156_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	903 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> k10_relat_1(C,k3_xboole_0(A,B)) = k3_xboole_0(k10_relat_1(C,A),k10_relat_1(C,B)))) # label(t137_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	904 (all A all B (v1_funct_1(A) & v1_relat_1(A) -> v1_funct_1(k7_relat_1(A,B)) & v1_relat_1(k7_relat_1(A,B)))) # label(fc4_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	905 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(k10_relat_1(C,A),k10_relat_1(C,B)) & r1_tarski(A,k2_relat_1(C)) -> r1_tarski(A,B)))) # label(t158_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	906 (all A (v1_xboole_0(A) -> v1_funct_1(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	907 $T # label(t108_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	908 $T # label(t10_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	909 (all A (A != k1_xboole_0 -> (all B exists C (v1_funct_1(C) & k1_tarski(B) = k2_relat_1(C) & k1_relat_1(C) = A & v1_relat_1(C))))) # label(t15_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	910 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> k10_relat_1(C,k4_xboole_0(A,B)) = k4_xboole_0(k10_relat_1(C,A),k10_relat_1(C,B)))) # label(t138_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	911 $T # label(t5_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	912 (exists A (v1_relat_1(A) & v1_funct_1(A) & v3_relat_1(A))) # label(rc4_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	913 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (v2_funct_1(C) -> k3_xboole_0(k9_relat_1(C,A),k9_relat_1(C,B)) = k9_relat_1(C,k3_xboole_0(A,B))))) # label(t121_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	914 $T # label(t79_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	915 $T # label(t41_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	916 $T # label(t39_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	917 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(B,k1_relat_1(C)) & r2_hidden(k1_funct_1(C,B),A) <-> r2_hidden(B,k1_relat_1(k5_relat_1(C,k6_relat_1(A))))))) # label(t40_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	918 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v2_relat_1(A) <-> (all B -(v1_xboole_0(k1_funct_1(A,B)) & r2_hidden(B,k1_relat_1(A))))))) # label(d15_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	919 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(B,k1_relat_1(k8_relat_1(A,C))) -> k1_funct_1(C,B) = k1_funct_1(k8_relat_1(A,C),B)))) # label(t87_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	920 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (r2_hidden(A,k1_relat_1(B)) -> r2_hidden(k1_funct_1(B,A),k2_relat_1(B))))) # label(t12_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	921 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> ((all D (r2_hidden(D,k1_relat_1(B)) -> k1_funct_1(B,D) = k1_funct_1(C,D))) & (all D (r2_hidden(D,k1_relat_1(B)) <-> r2_hidden(D,k1_relat_1(C)) & r2_hidden(k1_funct_1(C,D),A))) <-> k8_relat_1(A,C) = B))))) # label(t85_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	922 (all A (v1_funct_1(A) & v1_relat_1(A) -> k5_relat_1(k6_relat_1(k1_relat_1(A)),A) = A & k5_relat_1(A,k6_relat_1(k2_relat_1(A))) = A)) # label(t42_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	923 $T # label(t45_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	924 $T # label(t30_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	925 $T # label(t114_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	926 (all A all B k5_relat_1(k6_relat_1(B),k6_relat_1(A)) = k6_relat_1(k3_xboole_0(A,B))) # label(t43_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	927 (all A (v1_funct_1(A) & v1_relat_1(A) -> (v2_funct_1(A) -> k4_relat_1(A) = k2_funct_1(A)))) # label(d9_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	928 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (k1_relat_1(B) = k2_relat_1(A) & A = k5_relat_1(A,B) -> B = k6_relat_1(k1_relat_1(B))))))) # label(t44_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	929 $T # label(t88_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	930 (all A (v1_funct_1(A) & v1_relat_1(A) -> (v2_funct_1(A) -> v2_funct_1(k2_funct_1(A))))) # label(t62_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	931 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (v2_funct_1(B) -> r1_tarski(k10_relat_1(B,k9_relat_1(B,A)),A)))) # label(t152_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	932 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r2_hidden(B,k1_relat_1(k7_relat_1(C,A))) -> k1_funct_1(C,B) = k1_funct_1(k7_relat_1(C,A),B)))) # label(t70_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	933 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v2_funct_1(A) -> A = k2_funct_1(k2_funct_1(A))))) # label(t65_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	934 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (r2_hidden(A,k2_relat_1(B)) & v2_funct_1(B) -> A = k1_funct_1(B,k1_funct_1(k2_funct_1(B),A)) & A = k1_funct_1(k5_relat_1(k2_funct_1(B),B),A)))) # label(t57_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	935 (all A ((all B all C all D (r2_hidden(k4_tarski(B,D),A) & r2_hidden(k4_tarski(B,C),A) -> D = C)) & (all B -((all C all D k4_tarski(C,D) != B) & r2_hidden(B,A))) -> v1_funct_1(A) & v1_relat_1(A))) # label(t2_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	936 $T # label(d6_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	937 (all A all B (r2_hidden(B,A) -> B = k1_funct_1(k6_relat_1(A),B))) # label(t35_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	938 (all A v2_funct_1(k6_relat_1(A))) # label(t52_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	939 $T # label(t128_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	940 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(A,B) -> k8_relat_1(A,C) = k8_relat_1(B,k8_relat_1(A,C)) & k8_relat_1(A,k8_relat_1(B,C)) = k8_relat_1(A,C)))) # label(t97_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	941 $T # label(t129_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	942 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(B,k2_relat_1(C)) & r1_tarski(A,k2_relat_1(C)) & k10_relat_1(C,A) = k10_relat_1(C,B) -> B = A))) # label(t161_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	943 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(A,k2_relat_1(k5_relat_1(C,B))) -> r2_hidden(A,k2_relat_1(B))))))) # label(t25_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	944 $T # label(t78_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	945 $T # label(t28_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	946 $T # label(t134_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	947 $T # label(t32_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	948 (exists A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	949 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r2_hidden(B,A) -> k1_funct_1(k7_relat_1(C,A),B) = k1_funct_1(C,B)))) # label(t72_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	950 $T # label(d10_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	951 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (k1_relat_1(B) = k1_tarski(A) -> k1_tarski(k1_funct_1(B,A)) = k2_relat_1(B)))) # label(t14_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	952 (all A all B all C (v1_relat_1(C) -> k10_relat_1(k7_relat_1(C,A),B) = k3_xboole_0(A,k10_relat_1(C,B)))) # label(t139_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	953 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (v2_funct_1(B) -> k10_relat_1(k2_funct_1(B),A) = k9_relat_1(B,A)))) # label(t154_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	954 $T # label(dt_k1_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	955 (exists A (v1_relat_1(A) & (all B (r2_hidden(B,f1_s3_funct_1) -> f2_s3_funct_1(B) = k1_funct_1(A,B))) & k1_relat_1(A) = f1_s3_funct_1 & v1_funct_1(A))) # label(s3_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	956 (all A all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> (r1_tarski(k2_relat_1(B),k1_relat_1(C)) -> r1_tarski(k10_relat_1(B,A),k10_relat_1(k5_relat_1(B,C),k9_relat_1(C,A)))))))) # label(t160_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	957 $T # label(d3_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	958 (exists A (v1_relat_1(A) & v2_funct_1(A) & v1_funct_1(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	959 $T # label(d2_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	960 $T # label(t75_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	961 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (v2_funct_1(B) -> k9_relat_1(k2_funct_1(B),A) = k10_relat_1(B,A)))) # label(t155_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	962 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (r1_tarski(A,k2_relat_1(B)) -> k9_relat_1(B,k10_relat_1(B,A)) = A))) # label(t147_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	963 $T # label(t106_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	964 $T # label(t77_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	965 $T # label(t3_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	966 $T # label(t102_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	967 (all A (v1_relat_1(A) & v1_funct_1(A) -> ((exists B (v1_funct_1(B) & k5_relat_1(A,B) = k6_relat_1(k1_relat_1(A)) & v1_relat_1(B))) -> v2_funct_1(A)))) # label(t53_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	968 (all A all B (v1_relat_1(A) & v1_funct_1(A) & v1_funct_1(B) & v1_relat_1(B) -> v1_funct_1(k5_relat_1(A,B)) & v1_relat_1(k5_relat_1(A,B)))) # label(fc1_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	969 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> r1_tarski(k9_relat_1(C,k3_xboole_0(A,k10_relat_1(C,B))),k3_xboole_0(k9_relat_1(C,A),B)))) # label(t149_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	970 $T # label(t132_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.16/5.37	971 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C ((all D (r2_hidden(D,k1_relat_1(A)) & r2_hidden(k1_funct_1(A,D),B) <-> r2_hidden(D,C))) <-> C = k10_relat_1(A,B))))) # label(d13_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	972 (all A (v1_funct_1(A) & v1_relat_1(A) -> (v2_funct_1(A) -> k2_relat_1(k5_relat_1(k2_funct_1(A),A)) = k2_relat_1(A) & k1_relat_1(k5_relat_1(k2_funct_1(A),A)) = k2_relat_1(A)))) # label(t59_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	973 $T # label(t109_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	974 $T # label(t83_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	975 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(k9_relat_1(C,A),k9_relat_1(C,B)) & r1_tarski(A,k1_relat_1(C)) & v2_funct_1(C) -> r1_tarski(A,B)))) # label(t157_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	976 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (B = k2_relat_1(A) <-> (all C ((exists D (r2_hidden(D,k1_relat_1(A)) & C = k1_funct_1(A,D))) <-> r2_hidden(C,B))))))) # label(d5_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	977 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> r1_tarski(k9_relat_1(k8_relat_1(A,C),B),k9_relat_1(C,B)))) # label(t120_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	978 (all A all B all C (p1_s1_funct_1(A,C) & p1_s1_funct_1(A,B) -> B = C)) -> (exists A (v1_funct_1(A) & (all B all C (r2_hidden(B,f1_s1_funct_1) & p1_s1_funct_1(B,C) <-> r2_hidden(k4_tarski(B,C),A))) & v1_relat_1(A))) # label(s1_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	979 $T # label(t133_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	980 $T # label(t80_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	981 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (v2_funct_1(C) -> k9_relat_1(C,k4_xboole_0(A,B)) = k4_xboole_0(k9_relat_1(C,A),k9_relat_1(C,B))))) # label(t123_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	982 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v2_funct_1(A) <-> (all B exists C r1_tarski(k10_relat_1(A,k1_tarski(B)),k1_tarski(C)))))) # label(t159_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	983 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (k1_relat_1(k5_relat_1(B,A)) = k1_relat_1(B) -> r1_tarski(k2_relat_1(B),k1_relat_1(A))))))) # label(t27_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	984 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(B,k1_relat_1(C)) & r2_hidden(B,A) -> r2_hidden(k1_funct_1(C,B),k2_relat_1(k7_relat_1(C,A)))))) # label(t73_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	985 (all A all B (v1_relat_1(B) -> (r1_tarski(A,k1_relat_1(B)) -> r1_tarski(A,k10_relat_1(B,k9_relat_1(B,A)))))) # label(t146_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	986 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v2_funct_1(A) -> k6_relat_1(k1_relat_1(A)) = k5_relat_1(A,k2_funct_1(A)) & k5_relat_1(k2_funct_1(A),A) = k6_relat_1(k2_relat_1(A))))) # label(t61_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	987 $T # label(t107_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	988 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r2_hidden(A,k1_relat_1(C)) & r2_hidden(B,k1_relat_1(C)) -> k2_tarski(k1_funct_1(C,A),k1_funct_1(C,B)) = k9_relat_1(C,k2_tarski(A,B))))) # label(t118_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	989 $T # label(t103_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	990 $T # label(t111_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	991 $T # label(t90_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	992 $T # label(t1_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	993 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (v2_funct_1(B) -> v2_funct_1(k7_relat_1(B,A))))) # label(t84_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	994 $T # label(t116_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	995 (all A all B (v1_relat_1(B) -> ((all C -(k10_relat_1(B,k1_tarski(C)) = k1_xboole_0 & r2_hidden(C,A))) -> r1_tarski(A,k2_relat_1(B))))) # label(t143_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	996 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r2_hidden(B,k1_relat_1(k8_relat_1(A,C))) <-> r2_hidden(B,k1_relat_1(C)) & r2_hidden(k1_funct_1(C,B),A)))) # label(t86_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	997 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> ((all C -(r2_hidden(C,A) & (all D -(C = k1_funct_1(B,D) & r2_hidden(D,k1_relat_1(B)))))) -> r1_tarski(A,k2_relat_1(B))))) # label(t19_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	998 (all A all B all C (v1_relat_1(C) -> r1_tarski(k3_xboole_0(A,k10_relat_1(C,B)),k10_relat_1(C,k3_xboole_0(k9_relat_1(C,A),B))))) # label(t151_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	999 $T # label(d7_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1000 $T # label(t131_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1001 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> k9_relat_1(k6_relat_1(A),B) = B)) # label(t162_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1002 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (v2_funct_1(C) & r1_xboole_0(A,B) -> r1_xboole_0(k9_relat_1(C,A),k9_relat_1(C,B))))) # label(t125_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1003 $T # label(t13_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1004 $T # label(t110_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1005 $T # label(t36_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1006 (exists A (v1_funct_1(A) & v2_relat_1(A) & v1_relat_1(A))) # label(rc5_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1007 $T # label(t130_funct_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1008 (all A (v1_relat_1(A) -> (v8_relat_2(A) <-> r1_tarski(k5_relat_1(A,A),A)))) # label(t44_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1009 $T # label(t4_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1010 (all A (v1_relat_1(A) -> (v5_relat_2(A) -> v5_relat_2(k4_relat_1(A))))) # label(t36_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1011 $T # label(t21_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1012 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (v3_relat_2(A) & v3_relat_2(B) -> v3_relat_2(k2_xboole_0(A,B)) & v3_relat_2(k3_xboole_0(A,B)) & v3_relat_2(k4_xboole_0(A,B))))))) # label(t35_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1013 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (v2_relat_2(A) -> v2_relat_2(k4_xboole_0(A,B))))))) # label(t33_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1014 $T # label(t9_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1015 (all A (v1_relat_1(A) -> (all B (r8_relat_2(A,B) <-> (all C all D all E (r2_hidden(C,B) & r2_hidden(D,B) & r2_hidden(k4_tarski(C,D),A) & r2_hidden(k4_tarski(D,E),A) & r2_hidden(E,B) -> r2_hidden(k4_tarski(C,E),A))))))) # label(d8_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1016 (all A (v1_relat_1(A) -> (v4_relat_2(A) -> v4_relat_2(k4_relat_1(A))))) # label(t40_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1017 (all A (v1_relat_1(A) -> (r2_relat_2(A,k3_relat_1(A)) <-> v2_relat_2(A)))) # label(d10_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1018 (all A (v1_relat_1(A) -> (r1_relat_2(A,k3_relat_1(A)) <-> v1_relat_2(A)))) # label(d9_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1019 (all A (v1_relat_1(A) -> (r4_relat_2(A,k3_relat_1(A)) <-> v4_relat_2(A)))) # label(d12_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1020 (all A (v1_relat_1(A) -> (v1_relat_2(A) -> k2_relat_1(A) = k2_relat_1(k4_relat_1(A)) & k1_relat_1(k4_relat_1(A)) = k1_relat_1(A)))) # label(t29_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1021 (all A (v1_relat_1(A) -> (v8_relat_2(A) <-> r8_relat_2(A,k3_relat_1(A))))) # label(d16_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1022 (all A (v1_relat_1(A) -> (v7_relat_2(A) -> v6_relat_2(A) & v1_relat_2(A)))) # label(t46_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1023 (all A (v1_relat_1(A) -> (r1_xboole_0(k6_relat_1(k3_relat_1(A)),A) <-> v2_relat_2(A)))) # label(t18_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1024 (all A (v1_relat_1(A) -> (v8_relat_2(A) -> v8_relat_2(k4_relat_1(A))))) # label(t42_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1025 (all A (v1_relat_1(A) -> (all B (r1_relat_2(A,B) <-> (all C (r2_hidden(C,B) -> r2_hidden(k4_tarski(C,C),A))))))) # label(d1_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1026 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (v1_relat_2(A) & v1_relat_2(B) -> v1_relat_2(k2_xboole_0(A,B)) & v1_relat_2(k3_xboole_0(A,B))))))) # label(t31_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1027 (all A (v1_relat_1(A) -> (v2_relat_2(A) & v8_relat_2(A) -> v5_relat_2(A)))) # label(t25_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1028 (all A (v1_relat_1(A) -> (v2_relat_2(A) -> v2_relat_2(k4_relat_1(A))))) # label(t28_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1029 $T # label(t16_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1030 (all A (v1_relat_1(A) -> (v5_relat_2(A) <-> r5_relat_2(A,k3_relat_1(A))))) # label(d13_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1031 $T # label(t1_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1032 (all A (v1_relat_1(A) -> (v1_relat_2(A) -> v1_relat_2(k4_relat_1(A))))) # label(t27_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1033 $T # label(t11_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1034 $T # label(t15_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1035 (all A (v1_relat_1(A) -> (v3_relat_2(A) -> v3_relat_2(k4_relat_1(A))))) # label(t34_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1036 $T # label(t10_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1037 $T # label(t8_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1038 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (v5_relat_2(A) -> v5_relat_2(k4_xboole_0(A,B))))))) # label(t38_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1039 $T # label(t5_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1040 $T # label(t7_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1041 (all A (v1_relat_1(A) -> (A = k4_relat_1(A) <-> v3_relat_2(A)))) # label(t30_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1042 (all A (v1_relat_1(A) -> (all B ((all C -(r2_hidden(k4_tarski(C,C),A) & r2_hidden(C,B))) <-> r2_relat_2(A,B))))) # label(d2_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1043 (all A (v1_relat_1(A) -> (all B ((all C all D -(r2_hidden(C,B) & r2_hidden(D,B) & r2_hidden(k4_tarski(C,D),A) & r2_hidden(k4_tarski(D,C),A))) <-> r5_relat_2(A,B))))) # label(d5_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1044 $T # label(t6_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1045 $T # label(t14_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1046 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (v2_relat_2(B) & v2_relat_2(A) -> v2_relat_2(k2_xboole_0(A,B)) & v2_relat_2(k3_xboole_0(A,B))))))) # label(t32_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1047 (all A (v1_relat_2(k6_relat_1(A)) & v4_relat_2(k6_relat_1(A)))) # label(t24_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1048 (all A (v1_relat_1(A) -> (r3_relat_2(A,k3_relat_1(A)) <-> v3_relat_2(A)))) # label(d11_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1049 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (v4_relat_2(A) -> v4_relat_2(k3_xboole_0(A,B)) & v4_relat_2(k4_xboole_0(A,B))))))) # label(t41_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1050 $T # label(t2_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1051 $T # label(t13_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1052 (all A (v1_relat_1(A) -> (v6_relat_2(A) <-> r6_relat_2(A,k3_relat_1(A))))) # label(d14_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1053 (all A all B (v1_relat_1(B) -> (r4_relat_2(B,A) <-> r5_relat_2(k4_xboole_0(B,k6_relat_1(A)),A)))) # label(t19_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1054 (all A (v1_relat_1(A) -> (all B ((all C all D -(r2_hidden(D,B) & C != D & -r2_hidden(k4_tarski(D,C),A) & -r2_hidden(k4_tarski(C,D),A) & r2_hidden(C,B))) <-> r6_relat_2(A,B))))) # label(d6_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1055 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (v8_relat_2(A) & v8_relat_2(B) -> v8_relat_2(k3_xboole_0(A,B))))))) # label(t43_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1056 $T # label(t3_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1057 (all A (v1_relat_1(A) -> (all B (r4_relat_2(A,B) <-> (all C all D (r2_hidden(C,B) & r2_hidden(D,B) & r2_hidden(k4_tarski(C,D),A) & r2_hidden(k4_tarski(D,C),A) -> C = D)))))) # label(d4_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1058 (all A (v1_relat_1(A) -> (v3_relat_2(A) & v8_relat_2(A) -> v1_relat_2(A)))) # label(t22_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1059 (all A (v1_relat_1(A) -> (all B ((all C all D (r2_hidden(D,B) & r2_hidden(k4_tarski(C,D),A) & r2_hidden(C,B) -> r2_hidden(k4_tarski(D,C),A))) <-> r3_relat_2(A,B))))) # label(d3_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1060 (all A (v1_relat_1(A) -> (v6_relat_2(A) <-> r1_tarski(k4_xboole_0(k2_zfmisc_1(k3_relat_1(A),k3_relat_1(A)),k6_relat_1(k3_relat_1(A))),k2_xboole_0(A,k4_relat_1(A)))))) # label(t45_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1061 (all A (v1_relat_1(A) -> (v5_relat_2(A) -> v4_relat_2(A) & v2_relat_2(A)))) # label(t26_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1062 $T # label(t12_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1063 (all A (v1_relat_1(A) -> (all B (r7_relat_2(A,B) <-> (all C all D -(-r2_hidden(k4_tarski(D,C),A) & -r2_hidden(k4_tarski(C,D),A) & r2_hidden(D,B) & r2_hidden(C,B))))))) # label(d7_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1064 (all A (v1_relat_1(A) -> (r1_tarski(k3_xboole_0(A,k4_relat_1(A)),k6_relat_1(k1_relat_1(A))) <-> v4_relat_2(A)))) # label(t39_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1065 (all A (v8_relat_2(k6_relat_1(A)) & v3_relat_2(k6_relat_1(A)))) # label(t23_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1066 (all A (v1_relat_1(A) -> (r1_tarski(k6_relat_1(k3_relat_1(A)),A) <-> v1_relat_2(A)))) # label(t17_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1067 (all A (v1_relat_1(A) -> (v7_relat_2(A) <-> r7_relat_2(A,k3_relat_1(A))))) # label(d15_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1068 (all A (v1_relat_1(A) -> (v7_relat_2(A) <-> k2_xboole_0(A,k4_relat_1(A)) = k2_zfmisc_1(k3_relat_1(A),k3_relat_1(A))))) # label(t47_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1069 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (v5_relat_2(A) & v5_relat_2(B) -> v5_relat_2(k3_xboole_0(A,B))))))) # label(t37_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1070 (all A all B (v1_relat_1(B) -> (r5_relat_2(B,A) -> r4_relat_2(k2_xboole_0(B,k6_relat_1(A)),A)))) # label(t20_relat_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1071 (all A all B (v3_ordinal1(B) & v3_ordinal1(A) -> (r1_ordinal1(A,B) <-> r1_tarski(A,B)))) # label(redefinition_r1_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1072 $T # label(t16_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1073 (all A exists B m1_ordinal1(B,A)) # label(existence_m1_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1074 $T # label(t17_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1075 $T # label(dt_k1_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1076 (all A (v3_ordinal1(A) -> v1_ordinal1(k3_tarski(A)) & v2_ordinal1(k3_tarski(A)) & v3_ordinal1(k3_tarski(A)))) # label(fc4_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.37	1077 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v3_ordinal1(k1_relat_1(A)) <-> v5_ordinal1(A)))) # label(d7_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1078 $T # label(t15_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1079 (exists A (v2_ordinal1(A) & v3_ordinal1(A) & v1_ordinal1(A) & -v1_xboole_0(A))) # label(rc3_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1080 (all A all B (r2_hidden(A,k1_ordinal1(B)) <-> A = B | r2_hidden(A,B))) # label(t13_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1081 $T # label(t40_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1082 (all A all B (k1_ordinal1(A) = k1_ordinal1(B) -> B = A)) # label(t12_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1083 (all A all B (v3_ordinal1(B) -> -(r1_tarski(A,B) & (all C (v3_ordinal1(C) -> -(r2_hidden(C,A) & (all D (v3_ordinal1(D) -> (r2_hidden(D,A) -> r1_ordinal1(C,D))))))) & k1_xboole_0 != A))) # label(t32_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1084 (all A -(all B (v3_ordinal1(B) <-> r2_hidden(B,A)))) # label(t37_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1085 (all A exists B ((all C (v3_ordinal1(C) -> (-r2_hidden(C,A) -> r1_ordinal1(B,C)))) & -r2_hidden(B,A) & v3_ordinal1(B))) # label(t39_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1086 (all A ((all B (r2_hidden(B,A) -> v3_ordinal1(B) & r1_tarski(B,A))) -> v3_ordinal1(A))) # label(t31_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1087 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r2_hidden(A,B) <-> r1_ordinal1(k1_ordinal1(A),B)))))) # label(t33_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1088 (all A all B all C all D -(r2_hidden(D,A) & r2_hidden(C,D) & r2_hidden(B,C) & r2_hidden(A,B))) # label(t4_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1089 (all A all B all C all D all E -(r2_hidden(A,B) & r2_hidden(B,C) & r2_hidden(C,D) & r2_hidden(E,A) & r2_hidden(D,E))) # label(t5_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1090 (all A all B (m1_ordinal1(B,A) -> v5_ordinal1(B) & v1_funct_1(B) & v1_relat_1(B))) # label(dt_m1_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1091 (all A all B (v3_ordinal1(B) -> (r2_hidden(A,B) -> v3_ordinal1(A)))) # label(t23_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1092 (all A -v1_xboole_0(k1_ordinal1(A))) # label(fc1_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1093 (all A (v3_ordinal1(A) -> v1_ordinal1(k1_ordinal1(A)) & v3_ordinal1(k1_ordinal1(A)) & v2_ordinal1(k1_ordinal1(A)) & -v1_xboole_0(k1_ordinal1(A)))) # label(fc3_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1094 (exists A (p1_s1_ordinal1(A) & v3_ordinal1(A))) -> (exists A (v3_ordinal1(A) & (all B (v3_ordinal1(B) -> (p1_s1_ordinal1(B) -> r1_ordinal1(A,B)))) & p1_s1_ordinal1(A))) # label(s1_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1095 (all A (v3_ordinal1(A) -> v3_ordinal1(k3_tarski(A)))) # label(t30_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1096 (all A all B (m1_ordinal1(B,A) -> (all C (v3_ordinal1(C) -> m1_ordinal1(k2_ordinal1(B,C),A))))) # label(t48_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1097 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r2_hidden(A,k1_ordinal1(B)) <-> r1_ordinal1(A,B)))))) # label(t34_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1098 $T # label(t9_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1099 (all A all B (v3_ordinal1(B) & v3_ordinal1(A) -> r1_ordinal1(A,B) | r1_ordinal1(B,A))) # label(connectedness_r1_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1100 (all A (v3_ordinal1(A) <-> v1_ordinal1(A) & v2_ordinal1(A))) # label(d4_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1101 $T # label(t28_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1102 $T # label(t1_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1103 (all A ((all B (r2_hidden(B,A) -> v5_ordinal1(B) & v1_funct_1(B) & v1_relat_1(B))) & v6_ordinal1(A) -> v1_relat_1(k3_tarski(A)) & v5_ordinal1(k3_tarski(A)) & v1_funct_1(k3_tarski(A)))) # label(t49_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1104 (exists A (v1_relat_1(A) & v1_xboole_0(A) & v1_ordinal1(A) & v3_ordinal1(A) & v2_ordinal1(A) & v2_funct_1(A) & v1_funct_1(A))) # label(rc2_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1105 (all A ((all B (r2_hidden(B,A) -> v3_ordinal1(B))) -> v3_ordinal1(k3_tarski(A)))) # label(t35_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1106 (all A all B (v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) -> (m1_ordinal1(B,A) <-> r1_tarski(k2_relat_1(B),A)))) # label(d8_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1107 (all A (v1_ordinal1(A) -> (all B (v3_ordinal1(B) -> (all C (v3_ordinal1(C) -> (r1_tarski(A,B) & r2_hidden(B,C) -> r2_hidden(A,C)))))))) # label(t22_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1108 (exists A (v5_ordinal1(A) & v1_funct_1(A) & v1_relat_1(A))) # label(rc4_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1109 (all A ((all B all C (r2_hidden(B,A) & r2_hidden(C,A) -> r3_xboole_0(B,C))) <-> v6_ordinal1(A))) # label(d9_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1110 $T # label(t11_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1111 (all A r2_hidden(A,k1_ordinal1(A))) # label(t10_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1112 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (all C (v1_ordinal1(C) -> (r2_hidden(C,A) & r2_hidden(A,B) -> r2_hidden(C,B)))))))) # label(t19_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1113 (all A (v1_funct_1(A) & v1_relat_1(A) -> (v3_ordinal1(k1_relat_1(A)) -> m1_ordinal1(A,k2_relat_1(A))))) # label(t46_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1114 (all A (v1_ordinal1(A) & v2_ordinal1(A) -> v3_ordinal1(A))) # label(cc2_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1115 (all A (v3_ordinal1(A) -> ((all B (v3_ordinal1(B) -> (r2_hidden(B,A) -> r2_hidden(k1_ordinal1(B),A)))) <-> v4_ordinal1(A)))) # label(t41_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1116 (all A (v1_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r2_xboole_0(A,B) -> r2_hidden(A,B)))))) # label(t21_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1117 $T # label(t18_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1118 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> -(-r2_xboole_0(A,B) & B != A & -r2_xboole_0(B,A)))))) # label(t50_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1119 $T # label(t8_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1120 (all A (v3_ordinal1(A) -> v2_ordinal1(A) & v1_ordinal1(A))) # label(cc1_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1121 (all A all B (v1_relat_1(A) & v1_funct_1(A) & v3_ordinal1(B) & v5_ordinal1(A) -> m1_ordinal1(k2_ordinal1(A,B),k2_relat_1(A)))) # label(dt_k2_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1122 $T # label(t2_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1123 $T # label(t44_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1124 (all A all B (v3_ordinal1(A) & v3_ordinal1(B) -> r1_ordinal1(A,A))) # label(reflexivity_r1_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1125 (all A all B (v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v3_ordinal1(B) -> k7_relat_1(A,B) = k2_ordinal1(A,B))) # label(redefinition_k2_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1126 $T # label(t43_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1127 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> r3_xboole_0(A,B))))) # label(t25_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1128 (exists A (v2_ordinal1(A) & v3_ordinal1(A) & v1_ordinal1(A))) # label(rc1_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1129 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> r1_ordinal1(A,B) | r2_hidden(B,A))))) # label(t26_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1130 (all A (v2_ordinal1(A) <-> (all B all C -(r2_hidden(B,A) & -r2_hidden(B,C) & C != B & -r2_hidden(C,B) & r2_hidden(C,A))))) # label(d3_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1131 $T # label(d5_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1132 (all A k1_ordinal1(A) != A) # label(t14_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1133 (all A (v1_xboole_0(A) -> v2_ordinal1(A) & v3_ordinal1(A) & v1_ordinal1(A))) # label(cc3_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1134 (all A all B all C -(r2_hidden(A,B) & r2_hidden(B,C) & r2_hidden(C,A))) # label(t3_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1135 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> -(-r2_hidden(A,B) & A != B & -r2_hidden(B,A)))))) # label(t24_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1136 (all A all B all C all D all E all F -(r2_hidden(A,B) & r2_hidden(B,C) & r2_hidden(D,E) & r2_hidden(E,F) & r2_hidden(F,A) & r2_hidden(C,D))) # label(t6_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1137 (all A (v3_ordinal1(A) -> -((all B (v3_ordinal1(B) -> k1_ordinal1(B) != A)) & -v4_ordinal1(A)) & -((exists B (v3_ordinal1(B) & k1_ordinal1(B) = A)) & v4_ordinal1(A)))) # label(t42_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1138 (all A all B (r1_tarski(A,B) -> (all C (m1_ordinal1(C,A) -> m1_ordinal1(C,B))))) # label(t47_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1139 (all A -((all B (v3_ordinal1(B) -> -r1_tarski(A,B))) & (all B (r2_hidden(B,A) -> v3_ordinal1(B))))) # label(t36_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1140 (all A k2_xboole_0(A,k1_tarski(A)) = k1_ordinal1(A)) # label(d1_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1141 (exists A (v1_relat_1(A) & v5_ordinal1(A) & (all B (v3_ordinal1(B) -> (all C (v5_ordinal1(C) & v1_funct_1(C) & v1_relat_1(C) -> (r2_hidden(B,f1_s4_ordinal1) & C = k2_ordinal1(A,B) -> f2_s4_ordinal1(C) = k1_funct_1(A,B)))))) & k1_relat_1(A) = f1_s4_ordinal1 & v1_funct_1(A))) # label(s4_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1142 (all A m1_ordinal1(k1_xboole_0,A)) # label(t45_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1143 $T # label(t20_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1144 (all A -(all B (v3_ordinal1(B) -> r2_hidden(B,A)))) # label(t38_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1145 (all A (v1_ordinal1(A) <-> (all B (r2_hidden(B,A) -> r1_tarski(B,A))))) # label(d2_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1146 (all A (v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) -> v2_ordinal1(k1_relat_1(A)) & v3_ordinal1(k1_relat_1(A)) & v1_ordinal1(k1_relat_1(A)))) # label(fc5_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1147 (all A (v3_ordinal1(A) -> v3_ordinal1(k1_ordinal1(A)))) # label(t29_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1148 (all A (v3_ordinal1(A) -> ((all B (v3_ordinal1(B) -> (r2_hidden(B,A) -> p1_s2_ordinal1(B)))) -> p1_s2_ordinal1(A)))) -> (all A (v3_ordinal1(A) -> p1_s2_ordinal1(A))) # label(s2_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1149 k1_relat_1(f3_s3_ordinal1) = f1_s3_ordinal1 & (all A (v3_ordinal1(A) -> (all B (v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) -> (r2_hidden(A,f1_s3_ordinal1) & B = k2_ordinal1(f3_s3_ordinal1,A) -> f2_s3_ordinal1(B) = k1_funct_1(f3_s3_ordinal1,A)))))) & k1_relat_1(f4_s3_ordinal1) = f1_s3_ordinal1 & (all A (v3_ordinal1(A) -> (all B (v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) -> (r2_hidden(A,f1_s3_ordinal1) & k2_ordinal1(f4_s3_ordinal1,A) = B -> f2_s3_ordinal1(B) = k1_funct_1(f4_s3_ordinal1,A)))))) -> f4_s3_ordinal1 = f3_s3_ordinal1 # label(s3_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1150 (all A (A = k3_tarski(A) <-> v4_ordinal1(A))) # label(d6_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1151 (all A all B -(r2_hidden(A,B) & r1_tarski(B,A))) # label(t7_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1152 (all A (v3_ordinal1(A) -> (all B ((exists C (v1_relat_1(C) & v1_funct_1(C) & v5_ordinal1(C) & A = k1_relat_1(C) & (all D (v3_ordinal1(D) -> (r2_hidden(D,A) -> f3_s5_ordinal1(k2_ordinal1(C,D)) = k1_funct_1(C,D)))) & B = f3_s5_ordinal1(C))) <-> f2_s5_ordinal1(A) = B)))) & (all A (v3_ordinal1(A) -> (r2_hidden(A,k1_relat_1(f1_s5_ordinal1)) -> f2_s5_ordinal1(A) = k1_funct_1(f1_s5_ordinal1,A)))) -> (all A (v3_ordinal1(A) -> (r2_hidden(A,k1_relat_1(f1_s5_ordinal1)) -> f3_s5_ordinal1(k2_ordinal1(f1_s5_ordinal1,A)) = k1_funct_1(f1_s5_ordinal1,A)))) # label(s5_ordinal1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1153 (all A all B all C (m1_relset_1(C,A,B) -> m2_relset_1(k6_relset_1(A,B,C),B,A))) # label(dt_k6_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1154 (all A all B all C all D (m1_relset_1(C,A,B) -> m1_subset_1(k11_relset_1(A,B,C,D),k1_zfmisc_1(A)))) # label(dt_k11_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1155 $T # label(t41_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1156 (all A all B m2_relset_1(k1_xboole_0,A,B)) # label(t25_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1157 (all A all B all C all D (m2_relset_1(D,B,C) -> (r1_tarski(A,D) -> m2_relset_1(A,B,C)))) # label(t4_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1158 (all A all B all C (m1_relset_1(C,A,B) -> m1_subset_1(k5_relset_1(A,B,C),k1_zfmisc_1(B)))) # label(dt_k5_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1159 (all A (-v1_xboole_0(A) -> k6_relat_1(A) != k1_xboole_0)) # label(t46_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1160 $T # label(t44_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1161 (all A all B all C (m2_relset_1(C,A,B) -> (k5_relset_1(A,B,C) = B <-> (all D -(r2_hidden(D,B) & (all E -r2_hidden(k4_tarski(E,D),C))))))) # label(t23_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1162 (all A all B all C (m1_relset_1(C,A,B) <-> m2_relset_1(C,A,B))) # label(redefinition_m2_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1163 (all A all B all C all D (m2_relset_1(D,A,C) -> (r1_tarski(A,B) -> m2_relset_1(D,B,C)))) # label(t15_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1164 (all A all B all C all D (m2_relset_1(D,A,C) -> m2_relset_1(k8_relset_1(A,C,D,B),B,C))) # label(t33_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1165 (all A all B (v1_relat_1(B) -> (r1_tarski(k2_relat_1(B),A) -> m2_relset_1(B,k1_relat_1(B),A)))) # label(t10_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1166 $T # label(t1_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1167 $T # label(t3_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1168 (all A all B all C all D (m1_relset_1(D,A,B) & m1_relset_1(C,A,B) -> k4_xboole_0(C,D) = k3_relset_1(A,B,C,D))) # label(redefinition_k3_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1169 (all A all B all C all D (m2_relset_1(D,C,A) -> (r1_tarski(k2_relat_1(D),B) -> m2_relset_1(D,C,B)))) # label(t14_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1170 (all A all B all C all D (m2_relset_1(D,A,C) -> (r1_tarski(k1_relat_1(D),B) -> m2_relset_1(D,B,C)))) # label(t13_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1171 (all A all B all C all D (m1_relset_1(C,A,B) & m1_relset_1(D,A,B) -> k2_relset_1(A,B,C,C) = C)) # label(idempotence_k2_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1172 (all A all B all C (m2_relset_1(C,B,A) -> (m2_relset_1(C,B,k1_xboole_0) -> C = k1_xboole_0))) # label(t27_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1173 (all A all B all C (m2_relset_1(C,A,B) -> (m2_relset_1(C,k1_xboole_0,B) -> C = k1_xboole_0))) # label(t26_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1174 (all A all B all C (m1_relset_1(C,A,B) -> C = k6_relset_1(A,B,k6_relset_1(A,B,C)))) # label(involutiveness_k6_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1175 $T # label(t37_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1176 (exists A (m2_relset_1(A,f1_s1_relset_1,f2_s1_relset_1) & (all B all C (r2_hidden(k4_tarski(B,C),A) <-> r2_hidden(C,f2_s1_relset_1) & p1_s1_relset_1(B,C) & r2_hidden(B,f1_s1_relset_1))))) # label(s1_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1177 (all A all B all C all D (m1_relset_1(D,A,B) & m1_relset_1(C,A,B) -> k1_relset_1(A,B,C,C) = C)) # label(idempotence_k1_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1178 $T # label(t42_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1179 (all A all B all C all D (m2_relset_1(D,C,A) -> (r1_tarski(A,B) -> m2_relset_1(D,C,B)))) # label(t16_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1180 (all A all B all C all D all E all F (m1_relset_1(F,C,D) & m1_relset_1(E,A,B) -> m2_relset_1(k7_relset_1(A,B,C,D,E,F),A,D))) # label(dt_k7_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1181 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,B,A) -> (all D (m1_subset_1(D,A) -> ((exists E (r2_hidden(k4_tarski(E,D),C) & m1_subset_1(E,B))) <-> r2_hidden(D,k5_relset_1(B,A,C))))))))))) # label(t48_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1182 (all A all B all C all D (m2_relset_1(D,A,B) -> -((all E all F -(C = k4_tarski(E,F) & r2_hidden(E,A) & r2_hidden(F,B))) & r2_hidden(C,D)))) # label(t6_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1183 (all A r1_tarski(k6_relat_1(A),k2_zfmisc_1(A,A))) # label(t28_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1184 (all A all B all C all D (m1_relset_1(C,A,B) -> m1_subset_1(k10_relset_1(A,B,C,D),k1_zfmisc_1(B)))) # label(dt_k10_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1185 $T # label(t2_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1186 (all A all B all C (m2_relset_1(C,A,B) -> r1_tarski(k3_relat_1(C),k2_xboole_0(A,B)))) # label(t19_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1187 (all A all B all C (m1_relset_1(C,A,B) -> k4_relset_1(A,B,C) = k1_relat_1(C))) # label(redefinition_k4_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1188 $T # label(t40_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1189 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,B,A) -> (all D (m1_subset_1(D,A) -> -(r2_hidden(D,k5_relset_1(B,A,C)) & (all E (m1_subset_1(E,B) -> -r2_hidden(E,k4_relset_1(B,A,C))))))))))))) # label(t50_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1190 (all A all B all C (m1_relset_1(C,A,B) -> k6_relset_1(A,B,C) = k4_relat_1(C))) # label(redefinition_k6_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1191 (all A all B all C all D (m2_relset_1(D,B,A) -> (r1_tarski(B,C) -> k8_relset_1(B,A,D,C) = D))) # label(t34_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1192 (all A all B all C (m2_relset_1(C,A,B) -> m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))))) # label(dt_m2_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1193 (all A all B all C (m2_relset_1(C,A,B) -> r1_tarski(k2_relat_1(C),B) & r1_tarski(k1_relat_1(C),A))) # label(t12_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1194 (all A all B all C all D (m1_relset_1(C,A,B) & m1_relset_1(D,A,B) -> k3_xboole_0(C,D) = k2_relset_1(A,B,C,D))) # label(redefinition_k2_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1195 (all A all B all C (m2_relset_1(C,A,B) -> (r1_tarski(k6_relat_1(B),C) -> k5_relset_1(A,B,C) = B & r1_tarski(B,k4_relset_1(A,B,C))))) # label(t32_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1196 (all A all B all C (m1_relset_1(C,A,B) <-> r1_tarski(C,k2_zfmisc_1(A,B)))) # label(d1_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1197 (all A all B (m2_relset_1(B,A,A) -> B = k5_relat_1(k6_relat_1(A),B) & B = k5_relat_1(B,k6_relat_1(A)))) # label(t45_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1198 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m2_relset_1(D,A,C) -> (all E (m1_subset_1(E,A) -> ((exists F (m1_subset_1(F,C) & r2_hidden(F,B) & r2_hidden(k4_tarski(E,F),D))) <-> r2_hidden(E,k11_relset_1(A,C,D,B))))))))))))) # label(t53_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1199 (all A all B all C all D (m1_relset_1(C,A,B) & m1_relset_1(D,A,B) -> m2_relset_1(k3_relset_1(A,B,C,D),A,B))) # label(dt_k3_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1200 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,A,B) -> (all D (m1_subset_1(D,A) -> (r2_hidden(D,k4_relset_1(A,B,C)) <-> (exists E (m1_subset_1(E,B) & r2_hidden(k4_tarski(D,E),C)))))))))))) # label(t47_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1201 (all A all B all C all D (m1_relset_1(D,A,B) -> m2_relset_1(k9_relset_1(A,B,C,D),A,B))) # label(dt_k9_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1202 (all A all B all C (m1_relset_1(C,A,B) -> k5_relset_1(A,B,C) = k2_relat_1(C))) # label(redefinition_k5_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1203 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1204 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) -> v1_relat_1(C))) # label(cc1_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1205 (all A all B all C all D (m2_relset_1(D,C,A) -> m2_relset_1(k9_relset_1(C,A,B,D),C,B))) # label(t35_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1206 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m2_relset_1(D,A,B) -> (all E (m2_relset_1(E,B,C) -> (all F (m1_subset_1(F,A) -> (all G (m1_subset_1(G,C) -> ((exists H (m1_subset_1(H,B) & r2_hidden(k4_tarski(F,H),D) & r2_hidden(k4_tarski(H,G),E))) <-> r2_hidden(k4_tarski(F,G),k7_relset_1(A,B,B,C,D,E))))))))))))))))) # label(t51_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1207 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,A,B) -> (all D (m1_subset_1(D,A) -> -((all E (m1_subset_1(E,B) -> -r2_hidden(E,k5_relset_1(A,B,C)))) & r2_hidden(D,k4_relset_1(A,B,C))))))))))) # label(t49_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1208 (all A all B all C all D (m1_relset_1(C,A,B) -> k9_relat_1(C,D) = k10_relset_1(A,B,C,D))) # label(redefinition_k10_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1209 $T # label(t5_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1210 $T # label(t18_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1211 (all A all B all C all D (m2_relset_1(D,A,B) -> (r1_tarski(k6_relat_1(C),D) -> r1_tarski(C,k5_relset_1(A,B,D)) & r1_tarski(C,k4_relset_1(A,B,D))))) # label(t30_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1212 (all A all B all C (v1_relat_1(C) -> (r1_tarski(k2_relat_1(C),B) & r1_tarski(k1_relat_1(C),A) -> m2_relset_1(C,A,B)))) # label(t11_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1213 (all A all B all C all D (m1_relset_1(C,A,B) -> k10_relat_1(C,D) = k11_relset_1(A,B,C,D))) # label(redefinition_k11_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1214 $T # label(t7_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1215 (all A all B all C (m2_relset_1(C,B,A) -> ((all D -((all E -r2_hidden(k4_tarski(D,E),C)) & r2_hidden(D,B))) <-> B = k4_relset_1(B,A,C)))) # label(t22_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1216 (all A all B all C all D (m1_relset_1(C,A,B) -> m2_relset_1(k8_relset_1(A,B,C,D),A,B))) # label(dt_k8_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1217 (all A all B all C all D (m1_relset_1(C,A,B) & m1_relset_1(D,A,B) -> k1_relset_1(A,B,C,D) = k1_relset_1(A,B,D,C))) # label(commutativity_k1_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1218 (all A all B (v1_relat_1(B) -> (r1_tarski(k1_relat_1(B),A) -> m2_relset_1(B,A,k2_relat_1(B))))) # label(t9_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1219 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1220 (all A all B all C all D (m1_relset_1(D,A,B) & m1_relset_1(C,A,B) -> k2_relset_1(A,B,C,D) = k2_relset_1(A,B,D,C))) # label(commutativity_k2_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1221 (all A all B all C all D (m2_relset_1(D,A,B) -> (r1_tarski(B,C) -> k9_relset_1(A,B,C,D) = D))) # label(t36_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1222 (all A all B all C all D (m1_relset_1(D,A,B) -> k8_relat_1(C,D) = k9_relset_1(A,B,C,D))) # label(redefinition_k9_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1223 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1224 (all A all B all C (m1_relset_1(C,A,B) -> m1_subset_1(k4_relset_1(A,B,C),k1_zfmisc_1(A)))) # label(dt_k4_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1225 (exists A (m2_relset_1(A,f1_s2_relset_1,f2_s2_relset_1) & (all B (m1_subset_1(B,f1_s2_relset_1) -> (all C (m1_subset_1(C,f2_s2_relset_1) -> (p1_s2_relset_1(B,C) <-> r2_hidden(k4_tarski(B,C),A)))))))) # label(s2_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1226 $T # label(t20_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1227 (all A all B all C (m2_relset_1(C,B,A) -> (r1_tarski(k6_relat_1(B),C) -> r1_tarski(B,k5_relset_1(B,A,C)) & B = k4_relset_1(B,A,C)))) # label(t31_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1228 (all A all B all C all D all E (m2_relset_1(E,A,C) -> (r1_tarski(C,D) & r1_tarski(A,B) -> m2_relset_1(E,B,D)))) # label(t17_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1229 (all A m2_relset_1(k6_relat_1(A),A,A)) # label(t29_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1230 (all A all B all C all D (m1_relset_1(C,A,B) & m1_relset_1(D,A,B) -> m2_relset_1(k2_relset_1(A,B,C,D),A,B))) # label(dt_k2_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1231 (all A all B all C all D all E all F (m1_relset_1(E,A,B) & m1_relset_1(F,C,D) -> k7_relset_1(A,B,C,D,E,F) = k5_relat_1(E,F))) # label(redefinition_k7_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1232 (all A all B all C all D (m1_relset_1(D,A,B) & m1_relset_1(C,A,B) -> m2_relset_1(k1_relset_1(A,B,C,D),A,B))) # label(dt_k1_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1233 (all A all B all C (m2_relset_1(C,A,B) -> k5_relset_1(A,B,C) = k10_relset_1(A,B,C,A) & k11_relset_1(A,B,C,B) = k4_relset_1(A,B,C))) # label(t38_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1234 (all A all B all C all D (r2_hidden(D,B) & r2_hidden(C,A) -> m2_relset_1(k1_tarski(k4_tarski(C,D)),A,B))) # label(t8_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1235 (all A all B all C (m2_relset_1(C,A,B) -> k5_relset_1(A,B,C) = k4_relset_1(B,A,k6_relset_1(A,B,C)) & k4_relset_1(A,B,C) = k5_relset_1(B,A,k6_relset_1(A,B,C)))) # label(t24_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1236 (all A all B all C all D (m1_relset_1(C,A,B) & m1_relset_1(D,A,B) -> k1_relset_1(A,B,C,D) = k2_xboole_0(C,D))) # label(redefinition_k1_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1237 (all A all B all C all D (m1_relset_1(C,A,B) -> k7_relat_1(C,D) = k8_relset_1(A,B,C,D))) # label(redefinition_k8_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1238 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m2_relset_1(D,C,A) -> (all E (m1_subset_1(E,A) -> ((exists F (m1_subset_1(F,C) & r2_hidden(F,B) & r2_hidden(k4_tarski(F,E),D))) <-> r2_hidden(E,k10_relset_1(C,A,D,B))))))))))))) # label(t52_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1239 $T # label(t43_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1240 $T # label(t21_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1241 (all A all B all C (m2_relset_1(C,B,A) -> k11_relset_1(B,A,C,k10_relset_1(B,A,C,B)) = k4_relset_1(B,A,C) & k5_relset_1(B,A,C) = k10_relset_1(B,A,C,k11_relset_1(B,A,C,A)))) # label(t39_relset_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1242 $T # label(t164_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1243 (all A all B (v1_relat_1(B) & v1_funct_1(B) & v1_funct_1(A) & v1_relat_1(A) -> (r1_partfun1(A,B) -> r1_partfun1(B,A)))) # label(symmetry_r1_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1244 $T # label(t104_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1245 $T # label(t124_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1246 $T # label(d1_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1247 $T # label(t108_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1248 $T # label(t173_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1249 $T # label(t102_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1250 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> ((exists C (v1_relat_1(C) & v1_funct_1(C) & r1_tarski(B,C) & r1_tarski(A,C))) <-> r1_partfun1(A,B)))))) # label(t131_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1251 $T # label(t170_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1252 (all A all B all C (r1_tarski(A,B) -> r1_tarski(k4_partfun1(C,A),k4_partfun1(C,B)))) # label(t127_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1253 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (v2_funct_1(C) -> v2_funct_1(k3_partfun1(C,A,B))))) # label(t94_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1254 (all A all B all C (r2_hidden(C,k4_partfun1(A,B)) -> v1_funct_1(C) & m2_relset_1(C,A,B))) # label(t120_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1255 $T # label(t52_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1256 (all A all B all C all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> -(r2_hidden(C,k2_relat_1(D)) & (all E (m1_subset_1(E,A) -> -(C = k1_funct_1(D,E) & r2_hidden(E,k4_relset_1(A,B,D)))))))) # label(t26_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1257 $T # label(t21_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1258 (all A all B k3_partfun1(k1_xboole_0,A,B) = k1_xboole_0) # label(t91_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1259 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> (all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> ((all E (m1_subset_1(E,A) -> (r2_hidden(E,k4_relset_1(A,B,C)) -> k1_funct_1(C,E) = k1_funct_1(D,E)))) & k4_relset_1(A,B,D) = k4_relset_1(A,B,C) -> D = C))))) # label(t34_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1260 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> r1_partfun1(k3_partfun1(k1_xboole_0,A,B),C))) # label(t142_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1261 $T # label(t157_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1262 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> (all D (r2_hidden(D,k5_partfun1(A,B,C)) -> m2_relset_1(D,A,B) & v1_funct_1(D))))) # label(t168_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1263 (all A all B (m2_relset_1(B,k1_xboole_0,A) & v1_funct_1(B) -> k4_relset_1(k1_xboole_0,A,B) = k1_xboole_0 & k2_relat_1(B) = k1_xboole_0)) # label(t54_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1264 (all A all B all C all D (v1_funct_1(D) & m2_relset_1(D,A,B) -> (r1_tarski(A,C) -> v1_funct_1(D) & m2_relset_1(D,C,B)))) # label(t30_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1265 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (r1_tarski(C,D) -> r1_tarski(k3_partfun1(C,A,B),k3_partfun1(D,A,B))))))) # label(t81_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1266 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (v2_funct_1(C) -> k3_partfun1(k2_funct_1(C),B,A) = k2_funct_1(k3_partfun1(C,A,B))))) # label(t95_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.38	1267 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (k2_xboole_0(A,B) = C -> (all D (r2_hidden(D,k3_xboole_0(k1_relat_1(A),k1_relat_1(B))) -> k1_funct_1(B,D) = k1_funct_1(A,D)))))))))) # label(t3_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1268 (all A all B all C all D (r1_tarski(C,D) & r1_tarski(A,B) -> r1_tarski(k4_partfun1(A,C),k4_partfun1(B,D)))) # label(t128_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1269 (all A all B all C all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> m2_relset_1(k8_relset_1(A,B,D,C),C,B) & v1_funct_1(k8_relset_1(A,B,D,C)))) # label(t43_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1270 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> C = k3_partfun1(C,A,B))) # label(t87_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1271 (all A all B all C all D (v1_funct_1(D) & v1_relat_1(D) -> (r2_hidden(A,k4_relset_1(B,C,k3_partfun1(D,B,C))) -> k1_funct_1(k3_partfun1(D,B,C),A) = k1_funct_1(D,A)))) # label(t80_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1272 (all A all B all C all D (m2_relset_1(D,A,k1_tarski(B)) & v1_funct_1(D) -> (r2_hidden(C,k4_relset_1(A,k1_tarski(B),D)) -> B = k1_funct_1(D,C)))) # label(t73_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1273 (all A all B all C all D (v1_relat_1(D) & v1_funct_1(D) -> (all E (v1_funct_1(E) & v1_relat_1(E) -> (r1_tarski(k3_xboole_0(k2_relat_1(D),k1_relat_1(E)),A) -> k3_partfun1(k5_relat_1(D,E),C,B) = k1_partfun1(C,A,A,B,k3_partfun1(D,C,A),k3_partfun1(E,A,B))))))) # label(t93_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1274 (all A all B all C (m2_relset_1(C,A,k1_tarski(B)) & v1_funct_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,k1_tarski(B)) -> (k4_relset_1(A,k1_tarski(B),D) = k4_relset_1(A,k1_tarski(B),C) -> C = D))))) # label(t74_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1275 $T # label(t12_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1276 $T # label(t160_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1277 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> k9_relat_1(C,A) = k2_relat_1(C))) # label(t51_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1278 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> (all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> (-r1_xboole_0(k5_partfun1(A,B,C),k5_partfun1(A,B,D)) -> r1_partfun1(C,D)))))) # label(t185_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1279 (all A all B all C all D (v1_relat_1(D) & v1_funct_1(D) -> (r1_tarski(A,B) -> r1_tarski(k3_partfun1(D,A,C),k3_partfun1(D,B,C))))) # label(t82_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1280 $T # label(t106_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1281 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> m2_relset_1(k7_relat_1(k8_relat_1(A,C),B),B,A) & v1_funct_1(k7_relat_1(k8_relat_1(A,C),B)))) # label(t47_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1282 $T # label(d2_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1283 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> r1_partfun1(k7_relat_1(k8_relat_1(A,C),B),C))) # label(t146_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1284 (all A all B all C all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> (r1_tarski(B,C) -> m2_relset_1(D,A,C) & v1_funct_1(D)))) # label(t31_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1285 (all A (v1_relat_1(A) & v1_funct_1(A) -> m2_relset_1(A,k1_relat_1(A),k2_relat_1(A)) & v1_funct_1(A))) # label(t24_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1286 (all A all B all C (v1_funct_1(A) & v1_relat_1(A) -> m2_relset_1(k3_partfun1(A,B,C),B,C) & v1_funct_1(k3_partfun1(A,B,C)))) # label(dt_k3_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1287 (all A all B all C all D (v1_relat_1(D) & v1_funct_1(D) -> (r2_hidden(A,k1_relat_1(D)) & r2_hidden(k1_funct_1(D,A),C) & r2_hidden(A,B) -> k1_funct_1(D,A) = k1_funct_1(k3_partfun1(D,B,C),A)))) # label(t79_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1288 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> r2_hidden(C,k4_partfun1(A,B)))) # label(t119_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1289 $T # label(t182_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1290 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> (v2_funct_1(C) -> v1_funct_1(k2_funct_1(C)) & m2_relset_1(k2_funct_1(C),B,A)))) # label(t39_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1291 $T # label(t118_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1292 $T # label(t101_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1293 (exists A (v1_funct_1(A) & k1_relat_1(A) = f1_s1_partfun1 & (all B (r2_hidden(B,f1_s1_partfun1) -> (p1_s1_partfun1(B) -> f2_s1_partfun1(B) = k1_funct_1(A,B)) & (-p1_s1_partfun1(B) -> f3_s1_partfun1(B) = k1_funct_1(A,B)))) & v1_relat_1(A))) # label(s1_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1294 $T # label(t88_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1295 $T # label(t177_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1296 $T # label(t17_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1297 (all A (v1_funct_1(A) & v1_relat_1(A) -> k3_partfun1(A,k1_relat_1(A),k2_relat_1(A)) = A)) # label(t86_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1298 $T # label(t161_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1299 (all A all B all C all D (v1_funct_1(D) & m2_relset_1(D,A,B) -> (r1_tarski(k2_relat_1(D),C) -> m2_relset_1(D,A,C) & v1_funct_1(D)))) # label(t29_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1300 (all A all B all C all D all E (v1_funct_1(E) & m2_relset_1(E,A,B) -> (r1_tarski(B,D) & r1_tarski(A,C) -> m2_relset_1(E,C,D) & v1_funct_1(E)))) # label(t32_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1301 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,k1_tarski(A),B) -> r1_tarski(k2_relat_1(C),k1_tarski(k1_funct_1(C,A))))) # label(t69_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1302 (all A all B (v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_relat_1(A) -> r1_partfun1(A,A))) # label(reflexivity_r1_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1303 (all A k4_partfun1(k1_xboole_0,A) = k1_tarski(k1_xboole_0)) # label(t122_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1304 $T # label(t184_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1305 $T # label(t103_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1306 (all A all B all C all D (v1_funct_1(D) & m2_relset_1(D,A,B) -> (r1_tarski(k4_relset_1(A,B,D),C) -> m2_relset_1(D,C,B) & v1_funct_1(D)))) # label(t28_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1307 (all A all B all C all D (v1_relat_1(D) & v1_funct_1(D) -> k2_partfun1(A,B,k3_partfun1(D,A,B),C) = k3_partfun1(D,k3_xboole_0(A,C),B))) # label(t96_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1308 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C k3_partfun1(A,B,C) = k7_relat_1(k8_relat_1(C,A),B)))) # label(d3_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1309 $T # label(t9_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1310 $T # label(t107_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1311 (all A (p1_s3_partfun1(A) -> r2_hidden(f3_s3_partfun1(A),f2_s3_partfun1))) -> (exists A ((all B (r2_hidden(B,k4_relset_1(f1_s3_partfun1,f2_s3_partfun1,A)) -> k1_funct_1(A,B) = f3_s3_partfun1(B))) & (all B (p1_s3_partfun1(B) & r2_hidden(B,f1_s3_partfun1) <-> r2_hidden(B,k4_relset_1(f1_s3_partfun1,f2_s3_partfun1,A)))) & m2_relset_1(A,f1_s3_partfun1,f2_s3_partfun1) & v1_funct_1(A))) # label(s3_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1312 $T # label(t165_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1313 (all A all B all C all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> v1_funct_1(k9_relset_1(A,B,C,D)) & m2_relset_1(k9_relset_1(A,B,C,D),A,C))) # label(t45_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1314 $T # label(t23_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1315 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,k1_xboole_0,A) -> k1_xboole_0 = k10_relat_1(C,B))) # label(t61_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1316 $T # label(t154_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1317 (all A all B (v1_funct_1(B) & m2_relset_1(B,A,k1_xboole_0) -> k2_relat_1(B) = k1_xboole_0 & k1_xboole_0 = k4_relset_1(A,k1_xboole_0,B))) # label(t62_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1318 $T # label(t156_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1319 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (v1_partfun1(k3_partfun1(C,A,B),A,B) -> r1_tarski(k9_relat_1(C,A),B)))) # label(t116_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1320 (all A all B (m2_relset_1(B,k1_xboole_0,A) & v1_funct_1(B) -> k5_partfun1(k1_xboole_0,A,B) = k1_tarski(k1_xboole_0))) # label(t176_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1321 (all A k6_partfun1(A) = k6_relat_1(A)) # label(redefinition_k6_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1322 (all A all B all C all D all E all F (v1_funct_1(E) & m1_relset_1(E,A,B) & v1_funct_1(F) & m1_relset_1(F,C,D) -> k1_partfun1(A,B,C,D,E,F) = k5_relat_1(E,F))) # label(redefinition_k1_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1323 $T # label(t150_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1324 (all A exists B (m1_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) & v4_relat_2(B) & v3_relat_2(B) & v1_relat_2(B) & v1_relat_1(B))) # label(rc3_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1325 $T # label(t109_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1326 (all A all B all C all D all E all F (m1_relset_1(F,C,D) & v1_funct_1(F) & m1_relset_1(E,A,B) & v1_funct_1(E) -> m2_relset_1(k1_partfun1(A,B,C,D,E,F),A,D) & v1_funct_1(k1_partfun1(A,B,C,D,E,F)))) # label(dt_k1_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1327 (all A (v8_relat_2(A) & v3_relat_2(A) & v1_relat_1(A) -> v1_relat_2(A) & v1_relat_1(A))) # label(cc1_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1328 $T # label(t166_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1329 $T # label(t20_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1330 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> ((exists C (v1_funct_1(C) & C = k2_xboole_0(A,B) & v1_relat_1(C))) <-> r1_partfun1(A,B)))))) # label(t130_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1331 (all A all B all C all D (v1_funct_1(D) & v1_relat_1(D) -> (r1_tarski(A,B) -> r1_tarski(k3_partfun1(D,C,A),k3_partfun1(D,C,B))))) # label(t83_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1332 (all A all B (m2_relset_1(B,A,k1_xboole_0) & v1_funct_1(B) -> (k1_xboole_0 != A -> k1_xboole_0 = k5_partfun1(A,k1_xboole_0,B)))) # label(t172_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1333 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,B) -> -((k1_xboole_0 = B -> k1_xboole_0 = A) & r1_partfun1(C,D) & (all E (m2_relset_1(E,A,B) & v1_funct_1(E) -> -(r1_partfun1(C,E) & r1_partfun1(D,E) & v1_partfun1(E,A,B))))))))) # label(t162_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1334 (all A all B (m2_relset_1(B,k1_xboole_0,A) & v1_funct_1(B) -> k1_xboole_0 = B)) # label(t57_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1335 $T # label(t183_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1336 (all A all B all C all D all E (v1_relat_1(E) & v1_funct_1(E) -> (r1_tarski(A,B) & r1_tarski(C,D) -> r1_tarski(k3_partfun1(E,A,C),k3_partfun1(E,B,D))))) # label(t84_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1337 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_tarski(k1_relat_1(A),k1_relat_1(B)) -> ((all C (r2_hidden(C,k1_relat_1(A)) -> k1_funct_1(A,C) = k1_funct_1(B,C))) <-> r1_partfun1(A,B))))))) # label(t132_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1338 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> r1_tarski(k4_relset_1(A,B,k3_partfun1(C,A,B)),k1_relat_1(C)) & r1_tarski(k2_relat_1(k3_partfun1(C,A,B)),k2_relat_1(C)))) # label(t77_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1339 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,k1_xboole_0) -> k1_xboole_0 = k9_relat_1(C,B))) # label(t67_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1340 $T # label(t89_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1341 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(A,k1_relat_1(C)) & r1_tarski(k2_relat_1(C),B) -> v1_partfun1(k3_partfun1(C,A,B),A,B)))) # label(t115_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1342 (all A all B (m2_relset_1(B,k1_xboole_0,A) & v1_funct_1(B) -> v2_funct_1(B))) # label(t59_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1343 $T # label(t6_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1344 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> (all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> (all E (v1_relat_1(E) & v1_funct_1(E) -> (r1_tarski(D,C) & r1_partfun1(C,E) -> r1_partfun1(D,E)))))))) # label(t140_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1345 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,k1_xboole_0) -> k10_relat_1(C,B) = k1_xboole_0)) # label(t68_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1346 $T # label(t149_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1347 $T # label(t13_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1348 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> ((all C (r2_hidden(C,k3_xboole_0(k1_relat_1(A),k1_relat_1(B))) -> k1_funct_1(A,C) = k1_funct_1(B,C))) <-> r1_partfun1(A,B)))))) # label(d6_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1349 $T # label(t134_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1350 $T # label(t98_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1351 (all A all B (v1_partfun1(k3_partfun1(k1_xboole_0,A,B),A,B) -> A = k1_xboole_0)) # label(t114_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1352 (all A all B all C all D (v1_funct_1(D) & m2_relset_1(D,A,B) -> m2_relset_1(k9_relset_1(A,B,C,D),A,B) & v1_funct_1(k9_relset_1(A,B,C,D)))) # label(t46_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1353 $T # label(t41_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1354 (all A all B all C (m1_subset_1(C,k4_partfun1(A,B)) -> m2_relset_1(C,A,B) & v1_funct_1(C))) # label(t121_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1355 $T # label(t14_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1356 (all A all B all C all D (m1_relset_1(C,A,B) & v1_funct_1(C) -> v1_funct_1(k2_partfun1(A,B,C,D)) & m2_relset_1(k2_partfun1(A,B,C,D),A,B))) # label(dt_k2_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1357 $T # label(t159_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1358 $T # label(t15_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1359 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> (v1_partfun1(C,A,B) & k1_xboole_0 = B -> A = k1_xboole_0))) # label(t99_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1360 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(k2_relat_1(C),B) & r1_tarski(k1_relat_1(C),A) -> C = k3_partfun1(C,A,B)))) # label(t85_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1361 (all A all B (p1_s5_partfun1(A,B) -> r2_hidden(f4_s5_partfun1(A,B),f3_s5_partfun1))) -> (exists A (v1_funct_1(A) & (all B all C (r2_hidden(k4_tarski(B,C),k4_relset_1(k2_zfmisc_1(f1_s5_partfun1,f2_s5_partfun1),f3_s5_partfun1,A)) -> f4_s5_partfun1(B,C) = k1_funct_1(A,k4_tarski(B,C)))) & (all B all C (r2_hidden(B,f1_s5_partfun1) & p1_s5_partfun1(B,C) & r2_hidden(C,f2_s5_partfun1) <-> r2_hidden(k4_tarski(B,C),k4_relset_1(k2_zfmisc_1(f1_s5_partfun1,f2_s5_partfun1),f3_s5_partfun1,A)))) & m2_relset_1(A,k2_zfmisc_1(f1_s5_partfun1,f2_s5_partfun1),f3_s5_partfun1))) # label(s5_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1362 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> r1_partfun1(k8_relat_1(A,B),B))) # label(t145_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1363 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_tarski(k2_relat_1(B),A) -> v1_funct_1(B) & m2_relset_1(B,k1_relat_1(B),A)))) # label(t25_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1364 (all A all B all C all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> m2_relset_1(k8_relset_1(A,B,D,C),A,B) & v1_funct_1(k8_relset_1(A,B,D,C)))) # label(t44_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1365 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (r2_hidden(D,k5_partfun1(A,B,C)) -> r1_partfun1(C,D)))))) # label(t171_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1366 (all A (m2_relset_1(k6_partfun1(A),A,A) & v1_partfun1(k6_partfun1(A),A,A))) # label(dt_k6_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1367 (all A all B all C all D (v1_funct_1(C) & m1_relset_1(C,A,B) -> k7_relat_1(C,D) = k2_partfun1(A,B,C,D))) # label(redefinition_k2_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1368 (all A all B all C (C = k4_partfun1(A,B) <-> (all D ((exists E (v1_relat_1(E) & r1_tarski(k2_relat_1(E),B) & r1_tarski(k1_relat_1(E),A) & E = D & v1_funct_1(E))) <-> r2_hidden(D,C))))) # label(d5_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1369 (all A all B all C (m2_relset_1(C,A,k1_xboole_0) & v1_funct_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,B,k1_xboole_0) -> C = D)))) # label(t65_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1370 (all A all B all C all D all E all F (r1_tarski(D,k2_zfmisc_1(E,F)) & r1_tarski(A,k2_zfmisc_1(B,C)) -> r1_tarski(k2_xboole_0(A,D),k2_zfmisc_1(k2_xboole_0(B,E),k2_xboole_0(C,F))))) # label(t1_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1371 $T # label(t179_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1372 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (k1_xboole_0 = k1_relat_1(C) -> v1_funct_1(C) & m2_relset_1(C,A,B)))) # label(t55_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1373 $T # label(t133_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1374 $T # label(t90_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1375 (all A (v1_relat_1(k6_relat_1(A)) & v4_relat_2(k6_relat_1(A)) & v8_relat_2(k6_relat_1(A)) & v3_relat_2(k6_relat_1(A)) & v1_relat_2(k6_relat_1(A)) & v1_funct_1(k6_relat_1(A)))) # label(fc2_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1376 (all A all B all C all D (m2_relset_1(D,k2_zfmisc_1(A,B),C) & v1_funct_1(D) -> (all E (m2_relset_1(E,k2_zfmisc_1(A,B),C) & v1_funct_1(E) -> (k4_relset_1(k2_zfmisc_1(A,B),C,D) = k4_relset_1(k2_zfmisc_1(A,B),C,E) & (all F all G (r2_hidden(k4_tarski(F,G),k4_relset_1(k2_zfmisc_1(A,B),C,D)) -> k1_funct_1(E,k4_tarski(F,G)) = k1_funct_1(D,k4_tarski(F,G)))) -> D = E))))) # label(t35_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1377 $T # label(t153_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1378 $T # label(t40_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1379 (all A all B all C all D (v1_funct_1(D) & v1_relat_1(D) -> k3_partfun1(D,B,k3_xboole_0(A,C)) = k9_relset_1(B,C,A,k3_partfun1(D,B,C)))) # label(t97_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1380 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> ((all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (r2_hidden(D,k4_relset_1(A,B,C)) & r2_hidden(E,k4_relset_1(A,B,C)) & k1_funct_1(C,D) = k1_funct_1(C,E) -> E = D))))) -> v2_funct_1(C)))) # label(t38_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1381 (all A all B all C all D (v1_funct_1(D) & v1_relat_1(D) -> (all E (v1_funct_1(E) & v1_relat_1(E) -> r1_tarski(k1_partfun1(C,A,A,B,k3_partfun1(D,C,A),k3_partfun1(E,A,B)),k3_partfun1(k5_relat_1(D,E),C,B)))))) # label(t92_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1382 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> -((all C (v1_relat_1(C) & v1_funct_1(C) -> C != k2_xboole_0(A,B))) & (all C (r2_hidden(C,k3_xboole_0(k1_relat_1(A),k1_relat_1(B))) -> k1_funct_1(A,C) = k1_funct_1(B,C)))))))) # label(t2_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1383 (all A all B all C all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> -((all E (m1_subset_1(E,A) -> -(r2_hidden(E,k4_relset_1(A,B,D)) & k1_funct_1(D,E) = C))) & r2_hidden(C,k9_relat_1(D,A))))) # label(t49_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1384 (exists A (v1_funct_1(A) & v1_xboole_0(A) & v2_funct_1(A) & v1_relat_1(A))) # label(rc1_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1385 $T # label(t137_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1386 $T # label(t19_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1387 $T # label(t4_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1388 (all A all B (v1_funct_1(B) & m2_relset_1(B,A,k1_xboole_0) -> v2_funct_1(B))) # label(t66_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1389 (all A k1_tarski(k1_xboole_0) = k4_partfun1(A,k1_xboole_0)) # label(t123_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1390 (all A all B all C (m2_relset_1(C,A,B) -> C = k5_relat_1(k6_relat_1(A),C))) # label(t36_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1391 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_tarski(A,B) -> r1_partfun1(A,B)))))) # label(t135_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1392 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> (all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> (all E (m2_relset_1(E,A,B) & v1_funct_1(E) -> (v1_partfun1(E,A,B) & r1_partfun1(D,E) & r1_partfun1(C,E) -> r1_partfun1(C,D)))))))) # label(t158_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1393 $T # label(t129_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1394 $T # label(t163_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1395 (all A (v1_relat_1(A) & v1_funct_1(A) -> r1_partfun1(k1_xboole_0,A))) # label(t141_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1396 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> r1_tarski(k3_partfun1(C,A,B),C))) # label(t76_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1397 $T # label(dt_k5_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1398 (all A all B (m2_relset_1(B,k1_xboole_0,A) & v1_funct_1(B) -> v1_partfun1(B,k1_xboole_0,A))) # label(t112_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1399 $T # label(t75_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1400 (all A all B all C (r2_hidden(A,f1_s4_partfun1) & p1_s4_partfun1(A,B,C) & r2_hidden(B,f2_s4_partfun1) -> r2_hidden(C,f3_s4_partfun1))) & (all A all B all C all D (p1_s4_partfun1(A,B,C) & p1_s4_partfun1(A,B,D) & r2_hidden(B,f2_s4_partfun1) & r2_hidden(A,f1_s4_partfun1) -> C = D)) -> (exists A (m2_relset_1(A,k2_zfmisc_1(f1_s4_partfun1,f2_s4_partfun1),f3_s4_partfun1) & (all B all C (r2_hidden(C,f2_s4_partfun1) & (exists D p1_s4_partfun1(B,C,D)) & r2_hidden(B,f1_s4_partfun1) <-> r2_hidden(k4_tarski(B,C),k4_relset_1(k2_zfmisc_1(f1_s4_partfun1,f2_s4_partfun1),f3_s4_partfun1,A)))) & (all B all C (r2_hidden(k4_tarski(B,C),k4_relset_1(k2_zfmisc_1(f1_s4_partfun1,f2_s4_partfun1),f3_s4_partfun1,A)) -> p1_s4_partfun1(B,C,k1_funct_1(A,k4_tarski(B,C))))) & v1_funct_1(A))) # label(s4_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1401 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,B) -> (r2_hidden(D,k5_partfun1(A,B,C)) -> v1_partfun1(D,A,B)))))) # label(t169_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1402 $T # label(t110_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.39	1403 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> (v1_partfun1(C,A,B) <-> k1_tarski(C) = k5_partfun1(A,B,C)))) # label(t174_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1404 (all A all B all C (m2_relset_1(C,k1_tarski(A),B) & v1_funct_1(C) -> v2_funct_1(C))) # label(t70_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1405 $T # label(t105_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1406 (all A all B all C all D (m2_relset_1(D,k1_tarski(A),B) & v1_funct_1(D) -> r1_tarski(k9_relat_1(D,C),k1_tarski(k1_funct_1(D,A))))) # label(t71_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1407 (all A all B all C all D (v1_funct_1(D) & v1_relat_1(D) -> (r2_hidden(k1_funct_1(D,A),C) & r2_hidden(A,B) & k1_relat_1(D) = k1_tarski(A) -> m2_relset_1(D,B,C) & v1_funct_1(D)))) # label(t72_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1408 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> k10_relat_1(C,B) = k4_relset_1(A,B,C))) # label(t53_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1409 $T # label(t11_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1410 (all A all B r1_tarski(k4_partfun1(k1_xboole_0,A),k4_partfun1(B,A))) # label(t126_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1411 $T # label(t5_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1412 (all A all B (m2_relset_1(B,A,k1_xboole_0) & v1_funct_1(B) -> k1_xboole_0 = B)) # label(t64_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1413 (all A all B all C all D (v1_funct_1(D) & v1_relat_1(D) -> (r2_hidden(A,k4_relset_1(B,C,k3_partfun1(D,B,C))) <-> r2_hidden(A,B) & r2_hidden(k1_funct_1(D,A),C) & r2_hidden(A,k1_relat_1(D))))) # label(t78_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1414 (all A all B all C (m2_relset_1(C,A,B) -> (A = k4_relset_1(A,B,C) <-> v1_partfun1(C,A,B)))) # label(d4_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1415 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_xboole_0(k1_relat_1(A),k1_relat_1(B)) -> r1_partfun1(A,B)))))) # label(t138_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1416 (all A all B all C all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> (r2_hidden(C,k4_relset_1(A,B,D)) -> r2_hidden(k1_funct_1(D,C),B)))) # label(t27_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1417 $T # label(t50_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1418 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(B,C) & r1_tarski(A,C) -> r1_partfun1(A,B)))))))) # label(t139_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1419 $T # label(t48_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1420 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> r1_partfun1(k3_partfun1(C,A,B),C))) # label(t147_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1421 $T # label(t180_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1422 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,k1_xboole_0,A) -> k9_relat_1(C,B) = k1_xboole_0)) # label(t60_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1423 (all A all B exists C (v1_funct_1(C) & v1_relat_1(C) & m1_relset_1(C,A,B))) # label(rc2_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1424 $T # label(dt_k4_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1425 (all A all B (m2_relset_1(k1_xboole_0,A,B) & v1_funct_1(k1_xboole_0))) # label(t56_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1426 $T # label(t100_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1427 $T # label(t16_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1428 (all A all B -v1_xboole_0(k4_partfun1(A,B))) # label(fc1_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1429 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> (all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> (v1_partfun1(C,A,B) & r1_partfun1(C,D) & v1_partfun1(D,A,B) -> C = D))))) # label(t148_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1430 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> r1_partfun1(k7_relat_1(B,A),B))) # label(t144_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1431 $T # label(t42_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1432 $T # label(t152_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1433 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> (all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> -((k1_xboole_0 = B -> A = k1_xboole_0) & r1_partfun1(C,D) & r1_xboole_0(k5_partfun1(A,B,C),k5_partfun1(A,B,D))))))) # label(t186_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1434 $T # label(t167_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1435 (all A all B all C (m2_relset_1(C,A,B) -> k5_relat_1(C,k6_relat_1(B)) = C)) # label(t37_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1436 (all A all B all C (r2_hidden(A,f1_s2_partfun1) & p1_s2_partfun1(A,C) & p1_s2_partfun1(A,B) -> B = C)) & (all A all B (r2_hidden(A,f1_s2_partfun1) & p1_s2_partfun1(A,B) -> r2_hidden(B,f2_s2_partfun1))) -> (exists A (v1_funct_1(A) & m2_relset_1(A,f1_s2_partfun1,f2_s2_partfun1) & (all B (r2_hidden(B,k4_relset_1(f1_s2_partfun1,f2_s2_partfun1,A)) -> p1_s2_partfun1(B,k1_funct_1(A,B)))) & (all B ((exists C p1_s2_partfun1(B,C)) & r2_hidden(B,f1_s2_partfun1) <-> r2_hidden(B,k4_relset_1(f1_s2_partfun1,f2_s2_partfun1,A)))))) # label(s2_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1437 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,k1_tarski(B)) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,k1_tarski(B)) -> r1_partfun1(C,D))))) # label(t143_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1438 $T # label(t8_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1439 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> (all D (D = k5_partfun1(A,B,C) <-> (all E ((exists F (v1_funct_1(F) & m2_relset_1(F,A,B) & v1_partfun1(F,A,B) & r1_partfun1(C,F) & E = F)) <-> r2_hidden(E,D))))))) # label(d7_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1440 (all A all B all C (m2_relset_1(C,k1_xboole_0,A) & v1_funct_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,k1_xboole_0,B) -> D = C)))) # label(t58_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1441 $T # label(t111_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1442 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (k1_xboole_0 = k2_relat_1(C) -> v1_funct_1(C) & m2_relset_1(C,A,B)))) # label(t63_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1443 $T # label(t151_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1444 $T # label(t18_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1445 $T # label(t155_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1446 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (v1_partfun1(k3_partfun1(C,A,B),A,B) -> r1_tarski(A,k1_relat_1(C))))) # label(t113_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1447 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> (r1_tarski(C,D) -> m2_relset_1(C,A,B) & v1_funct_1(C)))))) # label(t33_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1448 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (k1_relat_1(A) = k1_relat_1(B) & r1_partfun1(A,B) -> B = A))))) # label(t136_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1449 $T # label(t22_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1450 (all A all B all C (r1_tarski(A,B) -> r1_tarski(k4_partfun1(A,C),k4_partfun1(B,C)))) # label(t125_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1451 $T # label(t7_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1452 $T # label(t181_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1453 $T # label(t178_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1454 (all A all B (m2_relset_1(B,k1_xboole_0,A) & v1_funct_1(B) -> k1_tarski(B) = k5_partfun1(k1_xboole_0,A,B))) # label(t175_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1455 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(A,k1_relat_1(C)) & r1_tarski(k9_relat_1(C,A),B) -> v1_partfun1(k3_partfun1(C,A,B),A,B)))) # label(t117_partfun1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1456 (all A all B all C all D all E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) -> m1_subset_1(k10_mcart_1(A,B,C,D,E),C))) # label(dt_k10_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1457 (all A all B all C all D k4_mcart_1(A,B,C,D) = k4_tarski(k4_tarski(k4_tarski(A,B),C),D)) # label(t31_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1458 (all A all B all C all D all E k2_enumset1(k3_mcart_1(A,B,D),k3_mcart_1(A,C,D),k3_mcart_1(A,B,E),k3_mcart_1(A,C,E)) = k3_zfmisc_1(k1_tarski(A),k2_tarski(B,C),k2_tarski(D,E))) # label(t45_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1459 (all A all B all C all D k3_zfmisc_1(k1_tarski(A),k2_tarski(B,C),k1_tarski(D)) = k2_tarski(k3_mcart_1(A,B,D),k3_mcart_1(A,C,D))) # label(t41_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1460 (all A all B all C all D k3_mcart_1(k4_tarski(A,B),C,D) = k4_mcart_1(A,B,C,D)) # label(t32_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1461 (all A all B (k1_xboole_0 != k2_zfmisc_1(A,B) -> (all C (m1_subset_1(C,k2_zfmisc_1(A,B)) -> k1_mcart_1(C) != C & C != k2_mcart_1(C))))) # label(t66_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1462 (all A all B all C -(B != k1_xboole_0 & (exists D (m1_subset_1(D,k3_zfmisc_1(A,B,C)) & (exists E exists F exists G (D = k3_mcart_1(E,F,G) & -(k5_mcart_1(A,B,C,D) = E & k6_mcart_1(A,B,C,D) = F & G = k7_mcart_1(A,B,C,D)))))) & C != k1_xboole_0 & k1_xboole_0 != A)) # label(t47_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1463 (all A all B all C all D k2_tarski(k3_mcart_1(A,B,C),k3_mcart_1(A,B,D)) = k3_zfmisc_1(k1_tarski(A),k1_tarski(B),k2_tarski(C,D))) # label(t42_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1464 (all A -(k1_xboole_0 != A & (all B -(r2_hidden(B,A) & (all C all D -((r2_hidden(D,A) | r2_hidden(C,A)) & k4_tarski(C,D) = B)))))) # label(t9_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1465 (all A all B all C (r2_hidden(A,k2_zfmisc_1(B,C)) -> A != k1_mcart_1(A) & k2_mcart_1(A) != A)) # label(t67_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1466 (all A all B all C all D all E all F all G all H (r1_tarski(C,D) & r1_tarski(G,H) & r1_tarski(E,F) & r1_tarski(A,B) -> r1_tarski(k4_zfmisc_1(A,C,E,G),k4_zfmisc_1(B,D,F,H)))) # label(t88_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1467 (all A all B all C all D all E k3_zfmisc_1(k2_tarski(A,B),k1_tarski(C),k2_tarski(D,E)) = k2_enumset1(k3_mcart_1(A,C,D),k3_mcart_1(B,C,D),k3_mcart_1(A,C,E),k3_mcart_1(B,C,E))) # label(t44_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1468 $T # label(dt_k3_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1469 $T # label(dt_k2_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1470 (all A all B all C all D all E all F all G all H (-r1_xboole_0(k4_zfmisc_1(A,B,C,D),k4_zfmisc_1(E,F,G,H)) -> -r1_xboole_0(B,F) & -r1_xboole_0(D,H) & -r1_xboole_0(C,G) & -r1_xboole_0(A,E))) # label(t64_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1471 $T # label(dt_k19_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1472 (all A all B all C all D all E all F all G all H -(A != k1_xboole_0 & k1_xboole_0 != B & k1_xboole_0 != D & F != k1_xboole_0 & k1_xboole_0 != G & H != k1_xboole_0 & (exists I ((exists J (J = I & -(k10_mcart_1(A,B,C,D,I) = k10_mcart_1(E,F,G,H,J) & k11_mcart_1(E,F,G,H,J) = k11_mcart_1(A,B,C,D,I) & k9_mcart_1(E,F,G,H,J) = k9_mcart_1(A,B,C,D,I) & k8_mcart_1(E,F,G,H,J) = k8_mcart_1(A,B,C,D,I)) & m1_subset_1(J,k4_zfmisc_1(E,F,G,H)))) & m1_subset_1(I,k4_zfmisc_1(A,B,C,D)))) & k1_xboole_0 != E & k1_xboole_0 != C)) # label(t86_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1473 (all A ((exists B exists C A = k4_tarski(B,C)) -> (all B (B = k2_mcart_1(A) <-> (all C all D (k4_tarski(C,D) = A -> B = D)))))) # label(d2_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1474 (all A all B all C -(B != k1_xboole_0 & k1_xboole_0 != C & -(all D (m1_subset_1(D,k3_zfmisc_1(A,B,C)) -> k3_mcart_1(k5_mcart_1(A,B,C,D),k6_mcart_1(A,B,C,D),k7_mcart_1(A,B,C,D)) = D)) & k1_xboole_0 != A)) # label(t48_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1475 (all A all B all C all D (r2_hidden(A,k2_zfmisc_1(k2_tarski(B,C),k1_tarski(D))) -> (C = k1_mcart_1(A) | k1_mcart_1(A) = B) & k2_mcart_1(A) = D)) # label(t17_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1476 (all A all B all C all D -(k1_xboole_0 != A & -(all E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) -> k9_mcart_1(A,B,C,D,E) != E & k11_mcart_1(A,B,C,D,E) != E & k10_mcart_1(A,B,C,D,E) != E & k8_mcart_1(A,B,C,D,E) != E)) & k1_xboole_0 != D & C != k1_xboole_0 & k1_xboole_0 != B)) # label(t62_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1477 (all A all B all C all D all E all F (m1_subset_1(D,k1_zfmisc_1(A)) & m1_subset_1(F,k1_zfmisc_1(C)) & m1_subset_1(E,k1_zfmisc_1(B)) -> k13_mcart_1(A,B,C,D,E,F) = k3_zfmisc_1(D,E,F))) # label(redefinition_k13_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1478 (all A all B all C all D -(k1_xboole_0 != A & k1_xboole_0 != C & -(all E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) -> k4_mcart_1(k8_mcart_1(A,B,C,D,E),k9_mcart_1(A,B,C,D,E),k10_mcart_1(A,B,C,D,E),k11_mcart_1(A,B,C,D,E)) = E)) & D != k1_xboole_0 & B != k1_xboole_0)) # label(t60_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1479 (all A all B all C (r2_hidden(k1_mcart_1(A),B) & r2_hidden(k2_mcart_1(A),C) -> r2_hidden(A,k2_zfmisc_1(B,C)) | (all D all E k4_tarski(D,E) != A))) # label(t11_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1480 $T # label(dt_k4_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1481 (all A all B all C -(A != k1_xboole_0 & -(all D (m1_subset_1(D,k3_zfmisc_1(A,B,C)) -> D != k6_mcart_1(A,B,C,D) & D != k7_mcart_1(A,B,C,D) & D != k5_mcart_1(A,B,C,D))) & k1_xboole_0 != C & k1_xboole_0 != B)) # label(t51_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1482 (all A all B all C all D (m1_subset_1(D,k3_zfmisc_1(A,B,C)) -> m1_subset_1(k5_mcart_1(A,B,C,D),A))) # label(dt_k5_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1483 (all A all B all C all D all E all F all G all H (r2_hidden(k4_mcart_1(A,B,C,D),k4_zfmisc_1(E,F,G,H)) <-> r2_hidden(C,G) & r2_hidden(D,H) & r2_hidden(B,F) & r2_hidden(A,E))) # label(t84_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1484 (all A -((all B -(r2_hidden(B,A) & (all C all D all E (r2_hidden(E,B) & r2_hidden(D,E) & r2_hidden(C,D) -> r1_xboole_0(C,A))))) & A != k1_xboole_0)) # label(t4_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1485 (all A all B all C all D (m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(D,k1_zfmisc_1(B)) -> m1_subset_1(k12_mcart_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,B))))) # label(dt_k12_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1486 (all A all B all C all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (all E (m1_subset_1(E,k1_zfmisc_1(B)) -> (all F (m1_subset_1(F,k1_zfmisc_1(C)) -> (all G (m1_subset_1(G,k3_zfmisc_1(A,B,C)) -> (r2_hidden(G,k3_zfmisc_1(D,E,F)) -> r2_hidden(k5_mcart_1(A,B,C,G),D) & r2_hidden(k6_mcart_1(A,B,C,G),E) & r2_hidden(k7_mcart_1(A,B,C,G),F)))))))))) # label(t76_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1487 (all A (v1_relat_1(A) & v1_funct_1(A) -> v1_funct_1(k15_mcart_1(A)) & v1_relat_1(k15_mcart_1(A)))) # label(dt_k15_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1488 (all A all B all C all D all E all F (k3_mcart_1(A,B,C) = k3_mcart_1(D,E,F) -> C = F & B = E & A = D)) # label(t28_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1489 (all A all B all C all D all E all F -(A != k1_xboole_0 & k1_xboole_0 != D & k1_xboole_0 != F & (exists G (m1_subset_1(G,k3_zfmisc_1(A,B,C)) & (exists H (H = G & -(k5_mcart_1(A,B,C,G) = k5_mcart_1(D,E,F,H) & k6_mcart_1(D,E,F,H) = k6_mcart_1(A,B,C,G) & k7_mcart_1(A,B,C,G) = k7_mcart_1(D,E,F,H)) & m1_subset_1(H,k3_zfmisc_1(D,E,F)))))) & E != k1_xboole_0 & k1_xboole_0 != C & k1_xboole_0 != B)) # label(t75_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1490 (all A all B all C all D k4_zfmisc_1(k1_tarski(A),k1_tarski(B),k1_tarski(C),k1_tarski(D)) = k1_tarski(k4_mcart_1(A,B,C,D))) # label(t65_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1491 (all A all B all C all D k3_zfmisc_1(k2_zfmisc_1(A,B),C,D) = k4_zfmisc_1(A,B,C,D)) # label(t54_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1492 (all A all B all C (k3_zfmisc_1(A,B,C) != k1_xboole_0 <-> A != k1_xboole_0 & B != k1_xboole_0 & C != k1_xboole_0)) # label(t35_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1493 (all A all B all C -(C != k1_xboole_0 & -(all D (m1_subset_1(D,k3_zfmisc_1(A,B,C)) -> (all E (m1_subset_1(E,C) -> (E = k7_mcart_1(A,B,C,D) <-> (all F all G all H (k3_mcart_1(F,G,H) = D -> H = E))))))) & B != k1_xboole_0 & k1_xboole_0 != A)) # label(d7_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1494 (all A all B all C all D all E all F all G all H (k4_zfmisc_1(A,B,C,D) = k4_zfmisc_1(E,F,G,H) -> C = k1_xboole_0 | D = k1_xboole_0 | G = C & H = D & B = F & E = A | k1_xboole_0 = B | k1_xboole_0 = A)) # label(t56_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1495 (all A all B all C all D all E (m1_subset_1(E,k3_zfmisc_1(A,B,C)) -> ((all F (m1_subset_1(F,A) -> (all G (m1_subset_1(G,B) -> (all H (m1_subset_1(H,C) -> (k3_mcart_1(F,G,H) = E -> D = F))))))) -> k1_xboole_0 = B | k1_xboole_0 = C | k5_mcart_1(A,B,C,E) = D | A = k1_xboole_0))) # label(t69_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1496 (all A all B all C (r2_hidden(A,k2_zfmisc_1(B,C)) -> r2_hidden(k1_mcart_1(A),B) & r2_hidden(k2_mcart_1(A),C))) # label(t10_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1497 (all A all B (k3_zfmisc_1(B,B,B) = k3_zfmisc_1(A,A,A) -> A = B)) # label(t38_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1498 (all A all B all C (r2_hidden(A,k2_zfmisc_1(B,k1_tarski(C))) -> C = k2_mcart_1(A) & r2_hidden(k1_mcart_1(A),B))) # label(t13_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1499 (all A all B all C all D all E all F all G all H (m1_subset_1(F,k1_zfmisc_1(B)) & m1_subset_1(H,k1_zfmisc_1(D)) & m1_subset_1(G,k1_zfmisc_1(C)) & m1_subset_1(E,k1_zfmisc_1(A)) -> m1_subset_1(k14_mcart_1(A,B,C,D,E,F,G,H),k1_zfmisc_1(k4_zfmisc_1(A,B,C,D))))) # label(dt_k14_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1500 (all A -(A != k1_xboole_0 & (all B -(r2_hidden(B,A) & r1_xboole_0(B,A))))) # label(t1_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1501 (all A all B all C all D all E all F all G all H (k4_zfmisc_1(A,B,C,D) = k4_zfmisc_1(E,F,G,H) -> D = H & G = C & B = F & E = A | k1_xboole_0 = k4_zfmisc_1(A,B,C,D))) # label(t57_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1502 (all A all B all C all D all E all F (A = k17_mcart_1(k4_tarski(k4_tarski(A,B),C)) & B = k18_mcart_1(k4_tarski(k4_tarski(A,B),C)) & k20_mcart_1(k4_tarski(F,k4_tarski(D,E))) = E & k19_mcart_1(k4_tarski(F,k4_tarski(D,E))) = D)) # label(t89_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1503 (all A all B all C all D all E all F (r2_hidden(k3_mcart_1(A,B,C),k3_zfmisc_1(D,E,F)) <-> r2_hidden(A,D) & r2_hidden(B,E) & r2_hidden(C,F))) # label(t73_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1504 (all A all B -(-(all C (m1_subset_1(C,k2_zfmisc_1(A,B)) -> C = k4_tarski(k1_mcart_1(C),k2_mcart_1(C)))) & k1_xboole_0 != B & k1_xboole_0 != A)) # label(t24_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1505 (all A all B all C all D (m1_subset_1(D,k3_zfmisc_1(A,B,C)) -> -(A != k1_xboole_0 & k1_xboole_0 != C & (exists E exists F exists G (-(k5_mcart_1(A,B,C,D) = E & G = k7_mcart_1(A,B,C,D) & F = k6_mcart_1(A,B,C,D)) & D = k3_mcart_1(E,F,G))) & B != k1_xboole_0))) # label(t68_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1506 (all A all B all C all D all E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) -> m1_subset_1(k8_mcart_1(A,B,C,D,E),A))) # label(dt_k8_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1507 (all A ((exists B exists C k4_tarski(B,C) = A) -> k4_tarski(k1_mcart_1(A),k2_mcart_1(A)) = A)) # label(t8_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1508 $T # label(dt_k1_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1509 (all A all B all C all D all E all F (r1_tarski(A,B) & r1_tarski(E,F) & r1_tarski(C,D) -> r1_tarski(k3_zfmisc_1(A,C,E),k3_zfmisc_1(B,D,F)))) # label(t77_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1510 (all A all B all C all D k4_mcart_1(A,B,C,D) = k4_tarski(k3_mcart_1(A,B,C),D)) # label(d4_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1511 (all A -(A != k1_xboole_0 & (all B -((all C all D all E all F -((r2_hidden(C,A) | r2_hidden(D,A)) & B = k4_mcart_1(C,D,E,F))) & r2_hidden(B,A))))) # label(t34_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1512 (all A all B all C all D all E all F all G all H (m1_subset_1(G,k1_zfmisc_1(C)) & m1_subset_1(H,k1_zfmisc_1(D)) & m1_subset_1(F,k1_zfmisc_1(B)) & m1_subset_1(E,k1_zfmisc_1(A)) -> k14_mcart_1(A,B,C,D,E,F,G,H) = k4_zfmisc_1(E,F,G,H))) # label(redefinition_k14_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1513 (all A all B all C all D k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C),D) = k4_zfmisc_1(A,B,C,D)) # label(t53_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1514 $T # label(t21_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1515 (all A all B all C all D all E all F (m1_subset_1(F,k4_zfmisc_1(A,B,C,D)) -> ((all G (m1_subset_1(G,A) -> (all H (m1_subset_1(H,B) -> (all I (m1_subset_1(I,C) -> (all J (m1_subset_1(J,D) -> (k4_mcart_1(G,H,I,J) = F -> G = E))))))))) -> k1_xboole_0 = B | D = k1_xboole_0 | E = k8_mcart_1(A,B,C,D,F) | C = k1_xboole_0 | k1_xboole_0 = A))) # label(t79_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1516 (all A all B all C all D all E (m1_subset_1(E,k3_zfmisc_1(A,B,C)) -> ((all F (m1_subset_1(F,A) -> (all G (m1_subset_1(G,B) -> (all H (m1_subset_1(H,C) -> (k3_mcart_1(F,G,H) = E -> H = D))))))) -> C = k1_xboole_0 | D = k7_mcart_1(A,B,C,E) | B = k1_xboole_0 | A = k1_xboole_0))) # label(t71_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1517 (all A all B all C all D all E all F (k3_zfmisc_1(D,E,F) = k3_zfmisc_1(A,B,C) -> k3_zfmisc_1(A,B,C) = k1_xboole_0 | D = A & E = B & C = F)) # label(t37_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1518 (all A all B all C all D all E (m1_subset_1(E,k3_zfmisc_1(A,B,C)) -> ((all F (m1_subset_1(F,A) -> (all G (m1_subset_1(G,B) -> (all H (m1_subset_1(H,C) -> (E = k3_mcart_1(F,G,H) -> D = G))))))) -> A = k1_xboole_0 | k6_mcart_1(A,B,C,E) = D | C = k1_xboole_0 | k1_xboole_0 = B))) # label(t70_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1519 (all A all B all C (r2_hidden(A,k2_zfmisc_1(k1_tarski(B),k1_tarski(C))) -> k1_mcart_1(A) = B & k2_mcart_1(A) = C)) # label(t14_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1520 (all A all B all C all D all E all F k6_enumset1(k3_mcart_1(A,C,E),k3_mcart_1(A,D,E),k3_mcart_1(A,C,F),k3_mcart_1(A,D,F),k3_mcart_1(B,C,E),k3_mcart_1(B,D,E),k3_mcart_1(B,C,F),k3_mcart_1(B,D,F)) = k3_zfmisc_1(k2_tarski(A,B),k2_tarski(C,D),k2_tarski(E,F))) # label(t46_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1521 (all A all B all C all D (-(-r1_tarski(A,k4_zfmisc_1(A,B,C,D)) & -r1_tarski(A,k4_zfmisc_1(B,C,D,A)) & -r1_tarski(A,k4_zfmisc_1(D,A,B,C)) & -r1_tarski(A,k4_zfmisc_1(C,D,A,B))) -> k1_xboole_0 = A)) # label(t63_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1522 (all A all B all C all D k2_tarski(k3_mcart_1(A,C,D),k3_mcart_1(B,C,D)) = k3_zfmisc_1(k2_tarski(A,B),k1_tarski(C),k1_tarski(D))) # label(t40_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1523 (all A -((all B -(r2_hidden(B,A) & (all C all D (r2_hidden(D,B) & r2_hidden(C,D) -> r1_xboole_0(C,A))))) & k1_xboole_0 != A)) # label(t3_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1524 (all A all B all C all D all E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) -> -(k1_xboole_0 != C & (exists F exists G exists H exists I (-(k10_mcart_1(A,B,C,D,E) = H & I = k11_mcart_1(A,B,C,D,E) & G = k9_mcart_1(A,B,C,D,E) & F = k8_mcart_1(A,B,C,D,E)) & E = k4_mcart_1(F,G,H,I))) & k1_xboole_0 != D & B != k1_xboole_0 & A != k1_xboole_0))) # label(t78_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1525 (all A all B all C all D -(C != k1_xboole_0 & -(all E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) -> (all F (m1_subset_1(F,B) -> ((all G all H all I all J (k4_mcart_1(G,H,I,J) = E -> F = H)) <-> F = k9_mcart_1(A,B,C,D,E)))))) & k1_xboole_0 != D & B != k1_xboole_0 & k1_xboole_0 != A)) # label(d9_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1526 $T # label(dt_k17_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1527 (all A all B -(B != k1_xboole_0 & -(all C (m1_subset_1(C,k2_zfmisc_1(A,B)) -> k2_mcart_1(C) != C & C != k1_mcart_1(C))) & k1_xboole_0 != A)) # label(t26_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1528 (all A all B all C all D all E ((all F (r2_hidden(F,A) <-> (exists G exists H exists I exists J (r2_hidden(G,B) & r2_hidden(I,D) & k4_mcart_1(G,H,I,J) = F & r2_hidden(J,E) & r2_hidden(H,C))))) -> A = k4_zfmisc_1(B,C,D,E))) # label(t85_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1529 (all A -(k1_xboole_0 != A & (all B -((all C all D all E -((r2_hidden(D,A) | r2_hidden(C,A)) & B = k3_mcart_1(C,D,E))) & r2_hidden(B,A))))) # label(t29_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1530 (all A all B all C all D (m1_subset_1(D,k3_zfmisc_1(A,B,C)) -> m1_subset_1(k6_mcart_1(A,B,C,D),B))) # label(dt_k6_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1531 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> ((all C (r2_hidden(C,k1_relat_1(A)) -> k1_funct_1(B,C) = k1_mcart_1(k1_funct_1(A,C)))) & k1_relat_1(B) = k1_relat_1(A) <-> k15_mcart_1(A) = B))))) # label(d12_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1532 (all A all B all C k4_tarski(k4_tarski(A,B),C) = k3_mcart_1(A,B,C)) # label(d3_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1533 (all A all B all C all D all E all F (m1_subset_1(F,k4_zfmisc_1(A,B,C,D)) -> ((all G (m1_subset_1(G,A) -> (all H (m1_subset_1(H,B) -> (all I (m1_subset_1(I,C) -> (all J (m1_subset_1(J,D) -> (F = k4_mcart_1(G,H,I,J) -> E = H))))))))) -> D = k1_xboole_0 | E = k9_mcart_1(A,B,C,D,F) | C = k1_xboole_0 | B = k1_xboole_0 | A = k1_xboole_0))) # label(t80_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1534 (all A all B all C all D all E all F (-r1_xboole_0(k3_zfmisc_1(A,B,C),k3_zfmisc_1(D,E,F)) -> -r1_xboole_0(C,F) & -r1_xboole_0(B,E) & -r1_xboole_0(A,D))) # label(t52_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1535 (all A all B all C all D all E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) -> m1_subset_1(k11_mcart_1(A,B,C,D,E),D))) # label(dt_k11_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1536 (all A k20_mcart_1(A) = k2_mcart_1(k2_mcart_1(A))) # label(d17_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1537 (all A all B all C all D -(-(all E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) -> (all F (m1_subset_1(F,C) -> (k10_mcart_1(A,B,C,D,E) = F <-> (all G all H all I all J (E = k4_mcart_1(G,H,I,J) -> F = I))))))) & k1_xboole_0 != D & k1_xboole_0 != C & B != k1_xboole_0 & A != k1_xboole_0)) # label(d10_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1538 $T # label(t30_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1539 $T # label(dt_k20_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1540 $T # label(dt_k18_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1541 (all A ((exists B exists C k4_tarski(B,C) = A) -> k2_mcart_1(A) != A & k1_mcart_1(A) != A)) # label(t20_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.40	1542 (all A all B all C all D ((all E ((exists F exists G exists H (r2_hidden(F,B) & r2_hidden(H,D) & k3_mcart_1(F,G,H) = E & r2_hidden(G,C))) <-> r2_hidden(E,A))) -> A = k3_zfmisc_1(B,C,D))) # label(t74_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1543 (all A all B (k2_mcart_1(k4_tarski(A,B)) = B & k1_mcart_1(k4_tarski(A,B)) = A)) # label(t7_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1544 $T # label(t22_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1545 (all A all B all C all D k2_zfmisc_1(k2_tarski(A,B),k2_tarski(C,D)) = k2_enumset1(k4_tarski(A,C),k4_tarski(A,D),k4_tarski(B,C),k4_tarski(B,D))) # label(t25_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1546 (all A all B all C (r2_hidden(A,k2_zfmisc_1(k1_tarski(B),C)) -> r2_hidden(k2_mcart_1(A),C) & k1_mcart_1(A) = B)) # label(t12_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1547 (all A all B all C all D -(C != k1_xboole_0 & k1_xboole_0 != D & (exists E ((exists F exists G exists H exists I (E = k4_mcart_1(F,G,H,I) & -(G = k9_mcart_1(A,B,C,D,E) & k11_mcart_1(A,B,C,D,E) = I & k10_mcart_1(A,B,C,D,E) = H & F = k8_mcart_1(A,B,C,D,E)))) & m1_subset_1(E,k4_zfmisc_1(A,B,C,D)))) & k1_xboole_0 != B & k1_xboole_0 != A)) # label(t59_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1548 (all A all B all C all D -(k1_xboole_0 != B & D != k1_xboole_0 & -(all E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) -> (all F (m1_subset_1(F,D) -> ((all G all H all I all J (k4_mcart_1(G,H,I,J) = E -> F = J)) <-> k11_mcart_1(A,B,C,D,E) = F))))) & C != k1_xboole_0 & A != k1_xboole_0)) # label(d11_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1549 (all A all B all C all D all E all F (m1_subset_1(F,k1_zfmisc_1(C)) & m1_subset_1(E,k1_zfmisc_1(B)) & m1_subset_1(D,k1_zfmisc_1(A)) -> m1_subset_1(k13_mcart_1(A,B,C,D,E,F),k1_zfmisc_1(k3_zfmisc_1(A,B,C))))) # label(dt_k13_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1550 (all A all B all C all D all E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) -> m1_subset_1(k9_mcart_1(A,B,C,D,E),B))) # label(dt_k9_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1551 (all A k1_mcart_1(k2_mcart_1(A)) = k19_mcart_1(A)) # label(d16_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1552 (all A (v1_relat_1(A) & v1_funct_1(A) -> v1_relat_1(k16_mcart_1(A)) & v1_funct_1(k16_mcart_1(A)))) # label(dt_k16_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1553 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> ((all C (r2_hidden(C,k1_relat_1(A)) -> k2_mcart_1(k1_funct_1(A,C)) = k1_funct_1(B,C))) & k1_relat_1(A) = k1_relat_1(B) <-> B = k16_mcart_1(A)))))) # label(d13_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1554 (all A all B all C all D all E all F (k3_zfmisc_1(D,E,F) = k3_zfmisc_1(A,B,C) -> k1_xboole_0 = A | C = k1_xboole_0 | D = A & E = B & F = C | k1_xboole_0 = B)) # label(t36_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1555 (all A all B all C -(k1_xboole_0 != B & -(all D (m1_subset_1(D,k3_zfmisc_1(A,B,C)) -> (all E (m1_subset_1(E,A) -> (k5_mcart_1(A,B,C,D) = E <-> (all F all G all H (D = k3_mcart_1(F,G,H) -> F = E))))))) & k1_xboole_0 != C & k1_xboole_0 != A)) # label(d5_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1556 (all A all B all C all D (m1_subset_1(D,k3_zfmisc_1(A,B,C)) -> m1_subset_1(k7_mcart_1(A,B,C,D),C))) # label(dt_k7_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1557 (all A all B all C all D all E -((all F all G all H all I -(r2_hidden(H,D) & r2_hidden(I,E) & k4_mcart_1(F,G,H,I) = A & r2_hidden(G,C) & r2_hidden(F,B))) & r2_hidden(A,k4_zfmisc_1(B,C,D,E)))) # label(t83_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1558 (all A all B all C -(k1_xboole_0 != A & k1_xboole_0 != B & k1_xboole_0 != C & -(all D (m1_subset_1(D,k3_zfmisc_1(A,B,C)) -> k2_mcart_1(k1_mcart_1(D)) = k6_mcart_1(A,B,C,D) & k2_mcart_1(D) = k7_mcart_1(A,B,C,D) & k5_mcart_1(A,B,C,D) = k1_mcart_1(k1_mcart_1(D)))))) # label(t50_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1559 (all A k18_mcart_1(A) = k2_mcart_1(k1_mcart_1(A))) # label(d15_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1560 (all A all B all C all D all E all F (m1_subset_1(F,k4_zfmisc_1(A,B,C,D)) -> ((all G (m1_subset_1(G,A) -> (all H (m1_subset_1(H,B) -> (all I (m1_subset_1(I,C) -> (all J (m1_subset_1(J,D) -> (k4_mcart_1(G,H,I,J) = F -> I = E))))))))) -> B = k1_xboole_0 | C = k1_xboole_0 | k10_mcart_1(A,B,C,D,F) = E | D = k1_xboole_0 | k1_xboole_0 = A))) # label(t81_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1561 (all A all B (k4_zfmisc_1(A,A,A,A) = k4_zfmisc_1(B,B,B,B) -> A = B)) # label(t58_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1562 (all A -((all B -(r2_hidden(B,A) & (all C (r2_hidden(C,B) -> r1_xboole_0(C,A))))) & A != k1_xboole_0)) # label(t2_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1563 (all A all B all C all D (r2_hidden(A,k2_zfmisc_1(k1_tarski(B),k2_tarski(C,D))) -> (D = k2_mcart_1(A) | C = k2_mcart_1(A)) & k1_mcart_1(A) = B)) # label(t18_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1564 (all A all B all C (-(-r1_tarski(A,k3_zfmisc_1(A,B,C)) & -r1_tarski(A,k3_zfmisc_1(B,C,A)) & -r1_tarski(A,k3_zfmisc_1(C,A,B))) -> A = k1_xboole_0)) # label(t49_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1565 (all A all B all C all D (m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(D,k1_zfmisc_1(B)) -> k2_zfmisc_1(C,D) = k12_mcart_1(A,B,C,D))) # label(redefinition_k12_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1566 (all A all B all C all D all E k2_enumset1(k3_mcart_1(A,C,E),k3_mcart_1(B,C,E),k3_mcart_1(A,D,E),k3_mcart_1(B,D,E)) = k3_zfmisc_1(k2_tarski(A,B),k2_tarski(C,D),k1_tarski(E))) # label(t43_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1567 (all A all B all C all D (r2_hidden(A,k2_zfmisc_1(k2_tarski(B,C),D)) -> (k1_mcart_1(A) = C | B = k1_mcart_1(A)) & r2_hidden(k2_mcart_1(A),D))) # label(t15_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1568 (all A ((exists B exists C k4_tarski(B,C) = A) -> (all B ((all C all D (k4_tarski(C,D) = A -> B = C)) <-> B = k1_mcart_1(A))))) # label(d1_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1569 (all A all B all C -(k1_xboole_0 != B & -(all D (m1_subset_1(D,k3_zfmisc_1(A,B,C)) -> (all E (m1_subset_1(E,B) -> (E = k6_mcart_1(A,B,C,D) <-> (all F all G all H (D = k3_mcart_1(F,G,H) -> E = G))))))) & C != k1_xboole_0 & A != k1_xboole_0)) # label(d6_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1570 (all A all B all C all D -(k1_xboole_0 != A & k1_xboole_0 != B & D != k1_xboole_0 & -(all E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) -> k1_mcart_1(k1_mcart_1(k1_mcart_1(E))) = k8_mcart_1(A,B,C,D,E) & k9_mcart_1(A,B,C,D,E) = k2_mcart_1(k1_mcart_1(k1_mcart_1(E))) & k11_mcart_1(A,B,C,D,E) = k2_mcart_1(E) & k2_mcart_1(k1_mcart_1(E)) = k10_mcart_1(A,B,C,D,E))) & k1_xboole_0 != C)) # label(t61_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1571 (all A -((all B -(r2_hidden(B,A) & (all C all D all E all F all G (r2_hidden(C,D) & r2_hidden(F,G) & r2_hidden(G,B) & r2_hidden(E,F) & r2_hidden(D,E) -> r1_xboole_0(C,A))))) & A != k1_xboole_0)) # label(t6_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1572 (all A all B all C all D all E all F (m1_subset_1(F,k4_zfmisc_1(A,B,C,D)) -> ((all G (m1_subset_1(G,A) -> (all H (m1_subset_1(H,B) -> (all I (m1_subset_1(I,C) -> (all J (m1_subset_1(J,D) -> (k4_mcart_1(G,H,I,J) = F -> E = J))))))))) -> k1_xboole_0 = A | k11_mcart_1(A,B,C,D,F) = E | k1_xboole_0 = D | k1_xboole_0 = C | k1_xboole_0 = B))) # label(t82_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1573 (all A all B all C (r2_hidden(A,k2_zfmisc_1(B,C)) -> A = k4_tarski(k1_mcart_1(A),k2_mcart_1(A)))) # label(t23_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1574 (all A all B all C all D (r2_hidden(A,k2_zfmisc_1(B,k2_tarski(C,D))) -> r2_hidden(k1_mcart_1(A),B) & (k2_mcart_1(A) = C | k2_mcart_1(A) = D))) # label(t16_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1575 (all A k1_mcart_1(k1_mcart_1(A)) = k17_mcart_1(A)) # label(d14_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1576 (all A all B all C all D -(r2_hidden(A,k3_zfmisc_1(B,C,D)) & (all E all F all G -(r2_hidden(F,C) & k3_mcart_1(E,F,G) = A & r2_hidden(G,D) & r2_hidden(E,B))))) # label(t72_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1577 (all A all B all C all D all E all F all G all H (k4_mcart_1(E,F,G,H) = k4_mcart_1(A,B,C,D) -> E = A & H = D & G = C & F = B)) # label(t33_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1578 $T # label(t27_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1579 (all A all B all C all D -(k1_xboole_0 != A & C != k1_xboole_0 & D != k1_xboole_0 & -(all E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) -> (all F (m1_subset_1(F,A) -> (F = k8_mcart_1(A,B,C,D,E) <-> (all G all H all I all J (k4_mcart_1(G,H,I,J) = E -> G = F))))))) & k1_xboole_0 != B)) # label(d8_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1580 (all A all B all C all D all E (r2_hidden(A,k2_zfmisc_1(k2_tarski(B,C),k2_tarski(D,E))) -> (k2_mcart_1(A) = E | k2_mcart_1(A) = D) & (k1_mcart_1(A) = C | B = k1_mcart_1(A)))) # label(t19_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1581 (all A all B all C all D (k4_zfmisc_1(A,B,C,D) != k1_xboole_0 <-> B != k1_xboole_0 & k1_xboole_0 != D & k1_xboole_0 != C & A != k1_xboole_0)) # label(t55_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1582 (all A -((all B -((all C all D all E all F (r2_hidden(D,E) & r2_hidden(E,F) & r2_hidden(F,B) & r2_hidden(C,D) -> r1_xboole_0(C,A))) & r2_hidden(B,A))) & k1_xboole_0 != A)) # label(t5_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1583 (all A all B all C all D all E (m1_subset_1(E,k1_zfmisc_1(A)) -> (all F (m1_subset_1(F,k1_zfmisc_1(B)) -> (all G (m1_subset_1(G,k1_zfmisc_1(C)) -> (all H (m1_subset_1(H,k1_zfmisc_1(D)) -> (all I (m1_subset_1(I,k4_zfmisc_1(A,B,C,D)) -> (r2_hidden(I,k4_zfmisc_1(E,F,G,H)) -> r2_hidden(k8_mcart_1(A,B,C,D,I),E) & r2_hidden(k9_mcart_1(A,B,C,D,I),F) & r2_hidden(k11_mcart_1(A,B,C,D,I),H) & r2_hidden(k10_mcart_1(A,B,C,D,I),G)))))))))))) # label(t87_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1584 (all A all B all C k1_tarski(k3_mcart_1(A,B,C)) = k3_zfmisc_1(k1_tarski(A),k1_tarski(B),k1_tarski(C))) # label(t39_mcart_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1585 (all A all B all C (v1_funct_2(C,k1_xboole_0,A) & m2_relset_1(C,k1_xboole_0,A) & v1_funct_1(C) -> k1_xboole_0 = k3_funct_2(k1_xboole_0,A,C,B))) # label(t60_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1586 (all A all B (v1_funct_1(B) & v1_funct_2(B,A,A) & m2_relset_1(B,A,A) -> (all C (v1_funct_1(C) & v1_funct_2(C,A,A) & m2_relset_1(C,A,A) -> (A = k2_relat_1(C) & k2_relat_1(B) = A -> A = k2_relat_1(k4_funct_2(A,B,C))))))) # label(t73_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1587 (all A all B all C (v1_funct_1(C) & v1_funct_2(C,A,k1_tarski(B)) & m2_relset_1(C,A,k1_tarski(B)) -> (all D (v1_funct_2(D,A,k1_tarski(B)) & m2_relset_1(D,A,k1_tarski(B)) & v1_funct_1(D) -> C = D)))) # label(t66_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1588 (all A all B all C all D (v1_funct_1(C) & m1_relset_1(C,A,B) & v1_funct_2(C,A,B) -> m1_subset_1(k2_funct_2(A,B,C,D),k1_zfmisc_1(B)))) # label(dt_k2_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1589 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> (all D (r2_hidden(D,k5_partfun1(A,B,C)) -> v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D))))) # label(t158_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1590 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,B) -> (r1_tarski(D,C) -> r1_tarski(k5_partfun1(A,B,C),k5_partfun1(A,B,D))))))) # label(t165_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1591 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> -((all D (v1_funct_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> (exists E (r2_hidden(E,k4_relset_1(A,B,C)) & k1_funct_1(D,E) != k1_funct_1(C,E))))) & (k1_xboole_0 = B -> A = k1_xboole_0)))) # label(t136_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1592 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> (k4_relset_1(A,B,C) = A -> v1_funct_1(C) & v1_funct_2(C,A,B) & m2_relset_1(C,A,B)))) # label(t130_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1593 (all A all B (v1_funct_1(B) & m2_relset_1(B,A,A) -> (exists C (v1_funct_2(C,A,A) & r1_partfun1(B,C) & m2_relset_1(C,A,A) & v1_funct_1(C))))) # label(t149_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1594 $T # label(t39_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1595 (all A all B (v1_funct_1(B) & v1_funct_2(B,A,A) & m2_relset_1(B,A,A) -> (v2_funct_1(B) -> (all C all D (r2_hidden(D,A) & k1_funct_1(B,D) = k1_funct_1(B,C) & r2_hidden(C,A) -> C = D))))) # label(t85_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1596 $T # label(t57_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1597 (all A all B all C (v1_funct_2(C,A,B) & m2_relset_1(C,A,B) & v1_funct_1(C) -> ((B = k1_xboole_0 -> k1_xboole_0 = A) -> v1_partfun1(k3_partfun1(C,A,B),A,B)))) # label(t133_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1598 $T # label(t104_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1599 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) & v1_funct_2(C,A,B) -> -(A != k1_xboole_0 & B != k1_xboole_0 & -((all D all E (v1_funct_1(E) & m2_relset_1(E,D,A) & v1_funct_2(E,D,A) -> (all F (v1_funct_1(F) & v1_funct_2(F,D,A) & m2_relset_1(F,D,A) -> (k1_partfun1(D,A,A,B,F,C) = k1_partfun1(D,A,A,B,E,C) -> E = F))))) <-> v2_funct_1(C))))) # label(t27_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1600 $T # label(t139_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1601 $T # label(t124_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1602 (all A all B all C all D (m2_relset_1(D,k2_zfmisc_1(A,B),C) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & v1_funct_1(D) -> (all E (v1_funct_2(E,k2_zfmisc_1(A,B),C) & m2_relset_1(E,k2_zfmisc_1(A,B),C) & v1_funct_1(E) -> ((all F all G (r2_hidden(G,B) & r2_hidden(F,A) -> k1_funct_1(D,k4_tarski(F,G)) = k1_funct_1(E,k4_tarski(F,G)))) -> D = E))))) # label(t118_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1603 (all A all B (v1_funct_1(B) & v1_funct_2(B,A,A) & v3_funct_2(B,A,A) & m2_relset_1(B,A,A) -> k6_partfun1(A) = k5_funct_2(A,B,k6_funct_2(A,B)) & k5_funct_2(A,k6_funct_2(A,B),B) = k6_partfun1(A))) # label(t88_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1604 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> (all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> (r1_tarski(k4_relset_1(A,B,D),k4_relset_1(A,B,C)) & r1_tarski(k5_partfun1(A,B,C),k5_partfun1(A,B,D)) -> r1_tarski(D,C)))))) # label(t166_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1605 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> (all D (v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D) -> ((k1_xboole_0 = B -> A = k1_xboole_0) -> (r1_partfun1(C,D) <-> (all E (r2_hidden(E,k4_relset_1(A,B,C)) -> k1_funct_1(C,E) = k1_funct_1(D,E))))))))) # label(t145_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1606 $T # label(t105_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1607 $T # label(t97_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1608 (all A all B (m2_relset_1(B,A,A) & v1_funct_2(B,A,A) & v1_funct_1(B) -> (v2_funct_1(B) & k2_relat_1(B) = A -> v1_funct_1(B) & m2_relset_1(B,A,A) & v3_funct_2(B,A,A) & v1_funct_2(B,A,A)))) # label(t83_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1609 $T # label(t112_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1610 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) & v1_funct_2(C,A,B) -> ((k1_xboole_0 = B -> k1_xboole_0 = A) -> k3_funct_2(A,B,C,B) = A))) # label(t48_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1611 (exists A (v1_funct_1(A) & m2_relset_1(A,f1_s4_funct_2,f2_s4_funct_2) & (all B (m1_subset_1(B,f1_s4_funct_2) -> k8_funct_2(f1_s4_funct_2,f2_s4_funct_2,A,B) = f3_s4_funct_2(B))) & v1_funct_2(A,f1_s4_funct_2,f2_s4_funct_2))) # label(s4_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1612 (all A all B all C all D (m2_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) -> (r2_hidden(C,A) -> r2_hidden(k1_funct_1(D,C),k2_relat_1(D)) | B = k1_xboole_0))) # label(t6_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1613 $T # label(t101_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1614 (exists A (f4_s10_funct_2 = k8_funct_2(f1_s10_funct_2,f2_s10_funct_2,A,f3_s10_funct_2) & (all B (m1_subset_1(B,f1_s10_funct_2) -> (f3_s10_funct_2 != B -> k8_funct_2(f1_s10_funct_2,f2_s10_funct_2,A,B) = f5_s10_funct_2(B)))) & m2_relset_1(A,f1_s10_funct_2,f2_s10_funct_2) & v1_funct_2(A,f1_s10_funct_2,f2_s10_funct_2) & v1_funct_1(A))) # label(s10_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1615 (all A all B all C (v1_funct_1(C) & v1_funct_2(C,A,A) & m2_relset_1(C,A,A) & v3_funct_2(C,A,A) -> (r1_tarski(B,A) -> B = k2_funct_2(A,A,C,k3_funct_2(A,A,C,B)) & k3_funct_2(A,A,C,k2_funct_2(A,A,C,B)) = B))) # label(t92_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1616 (all A (m1_subset_1(A,f1_s7_funct_2) -> (all B (m1_subset_1(B,f2_s7_funct_2) -> (exists C (m1_subset_1(C,f3_s7_funct_2) & p1_s7_funct_2(A,B,C))))))) -> (exists A (v1_funct_2(A,k2_zfmisc_1(f1_s7_funct_2,f2_s7_funct_2),f3_s7_funct_2) & m2_relset_1(A,k2_zfmisc_1(f1_s7_funct_2,f2_s7_funct_2),f3_s7_funct_2) & (all B (m1_subset_1(B,f1_s7_funct_2) -> (all C (m1_subset_1(C,f2_s7_funct_2) -> p1_s7_funct_2(B,C,k1_funct_1(A,k4_tarski(B,C))))))) & v1_funct_1(A))) # label(s7_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1617 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) -> (all D (v1_funct_2(D,B,A) & m2_relset_1(D,B,A) & v1_funct_1(D) -> (k6_partfun1(A) = k1_partfun1(A,B,B,A,C,D) -> B = k1_xboole_0 | v2_funct_1(C) & k2_relat_1(D) = A))))) # label(t29_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1618 $T # label(t52_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1619 (all A all B (v1_funct_1(B) & m2_relset_1(B,A,A) & v1_funct_2(B,A,A) -> A = k3_funct_2(A,A,B,k2_funct_2(A,A,B,A)))) # label(t82_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1620 (all A all B all C (m1_relset_1(C,A,B) -> (v1_funct_1(C) & v2_funct_1(C) & v1_funct_2(C,A,B) & v2_funct_2(C,A,B) -> v1_funct_1(C) & v1_funct_2(C,A,B) & v3_funct_2(C,A,B)))) # label(cc3_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1621 $T # label(t100_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1622 $T # label(t69_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1623 (all A all B (m1_relset_1(B,A,A) -> (v1_funct_1(B) & v1_funct_2(B,A,A) & v1_relat_2(B) & v1_partfun1(B,A,A) -> v1_funct_1(B) & v2_funct_1(B) & v3_funct_2(B,A,A) & v2_funct_2(B,A,A) & v1_funct_2(B,A,A)))) # label(cc4_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1624 $T # label(t128_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1625 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) -> ((B = k1_xboole_0 -> k1_xboole_0 = A) -> k2_funct_2(A,B,C,A) = k2_relat_1(C)))) # label(t45_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1626 $T # label(t144_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1627 (all A all B all C (m2_relset_1(C,A,B) -> C = k7_relset_1(A,B,B,B,C,k6_partfun1(B)) & k7_relset_1(A,A,A,B,k6_partfun1(A),C) = C)) # label(t23_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1628 (all A all B all C all D (v1_funct_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> (all E (v1_funct_1(E) & m2_relset_1(E,B,C) & v1_funct_2(E,B,C) -> (v2_funct_1(E) & k2_relat_1(k1_partfun1(A,B,B,C,D,E)) = C -> k2_relat_1(D) = B | C = k1_xboole_0))))) # label(t28_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1629 (all A all B all C (m2_relset_1(k9_funct_2(A,B,C),k2_zfmisc_1(k1_tarski(A),k1_tarski(B)),k1_tarski(C)) & v1_funct_2(k9_funct_2(A,B,C),k2_zfmisc_1(k1_tarski(A),k1_tarski(B)),k1_tarski(C)) & v1_funct_1(k9_funct_2(A,B,C)))) # label(dt_k9_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1630 (all A all B all C all D (v1_funct_1(C) & m1_relset_1(C,A,B) -> k10_relat_1(C,D) = k3_funct_2(A,B,C,D))) # label(redefinition_k3_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1631 $T # label(t54_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1632 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> (all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> (r1_tarski(k5_partfun1(A,B,C),k5_partfun1(A,B,D)) & (all E k1_tarski(E) != B) -> r1_tarski(D,C)))))) # label(t167_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1633 (all A all B all C all D (v1_funct_1(C) & m1_relset_1(C,A,B) -> m1_subset_1(k3_funct_2(A,B,C,D),k1_zfmisc_1(A)))) # label(dt_k3_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1634 (all A all B all C (v1_funct_1(C) & v1_funct_2(C,A,B) & m2_relset_1(C,A,B) -> (all D (v1_funct_2(D,B,A) & m2_relset_1(D,B,A) & v1_funct_1(D) -> (k1_partfun1(B,A,A,B,D,C) = k6_partfun1(B) -> k2_relat_1(C) = B))))) # label(t24_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1635 $T # label(t58_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1636 (all A (r2_hidden(A,f1_s9_funct_2) -> (p1_s9_funct_2(A) -> r2_hidden(f3_s9_funct_2(A),f2_s9_funct_2)) & (-p1_s9_funct_2(A) -> r2_hidden(f4_s9_funct_2(A),f2_s9_funct_2)))) -> (exists A (m2_relset_1(A,f1_s9_funct_2,f2_s9_funct_2) & (all B (r2_hidden(B,f1_s9_funct_2) -> (-p1_s9_funct_2(B) -> k1_funct_1(A,B) = f4_s9_funct_2(B)) & (p1_s9_funct_2(B) -> f3_s9_funct_2(B) = k1_funct_1(A,B)))) & v1_funct_2(A,f1_s9_funct_2,f2_s9_funct_2) & v1_funct_1(A))) # label(s9_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1637 $T # label(t42_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1638 (all A all B all C (v1_funct_1(C) & v1_funct_2(C,k1_tarski(A),B) & m2_relset_1(C,k1_tarski(A),B) -> (k1_xboole_0 != B -> r2_hidden(k1_funct_1(C,A),B)))) # label(t61_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1639 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) -> ((k1_xboole_0 = B -> k1_xboole_0 = A) -> r2_hidden(C,k1_funct_2(A,B))))) # label(t11_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1640 (all A -((all B -(r2_hidden(B,f2_s1_funct_2) & p1_s1_funct_2(A,B))) & r2_hidden(A,f1_s1_funct_2))) -> (exists A ((all B (r2_hidden(B,f1_s1_funct_2) -> p1_s1_funct_2(B,k1_funct_1(A,B)))) & m2_relset_1(A,f1_s1_funct_2,f2_s1_funct_2) & v1_funct_2(A,f1_s1_funct_2,f2_s1_funct_2) & v1_funct_1(A))) # label(s1_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1641 (all A all B all C all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> (B != k1_xboole_0 -> (all E ((exists F (r2_hidden(F,A) & E = k1_funct_1(D,F) & r2_hidden(F,C))) -> r2_hidden(E,k9_relat_1(D,C))))))) # label(t43_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1642 (all A all B all C all D (v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D) -> (r1_tarski(A,C) -> D = k2_partfun1(A,B,D,C)))) # label(t40_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1643 $T # label(t109_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1644 (all A all B all C all D all E (-v1_xboole_0(B) & v1_funct_2(D,A,B) & v1_funct_1(E) & m1_relset_1(E,B,C) & v1_funct_2(E,B,C) & m1_relset_1(D,A,B) & v1_funct_1(D) -> v1_funct_2(k7_funct_2(A,B,C,D,E),A,C) & m2_relset_1(k7_funct_2(A,B,C,D,E),A,C) & v1_funct_1(k7_funct_2(A,B,C,D,E)))) # label(dt_k7_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1645 (all A all B k1_funct_2(A,B) = k5_partfun1(A,B,k3_partfun1(k1_xboole_0,A,B))) # label(t160_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1646 (all A all B all C (m1_relset_1(B,A,A) & v1_funct_1(C) & m1_relset_1(C,A,A) & v3_funct_2(C,A,A) & v1_funct_2(C,A,A) & v3_funct_2(B,A,A) & v1_funct_2(B,A,A) & v1_funct_1(B) -> k5_relat_1(B,C) = k5_funct_2(A,B,C))) # label(redefinition_k5_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1647 (all A all B all C ((all D ((exists E (E = D & A = k1_relat_1(E) & r1_tarski(k2_relat_1(E),B) & v1_funct_1(E) & v1_relat_1(E))) <-> r2_hidden(D,C))) <-> C = k1_funct_2(A,B))) # label(d2_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1648 $T # label(t99_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1649 $T # label(t123_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1650 $T # label(t127_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1651 (all A all B all C all D (v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D) -> (r1_tarski(C,A) -> k1_xboole_0 != A & B = k1_xboole_0 | r1_tarski(C,k3_funct_2(A,B,D,k2_funct_2(A,B,D,C)))))) # label(t50_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1652 $T # label(t147_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1653 (all A all B all C all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> (r1_tarski(B,C) -> v1_funct_1(D) & v1_funct_2(D,A,C) & m2_relset_1(D,A,C) | A != k1_xboole_0 & B = k1_xboole_0))) # label(t9_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1654 (all A all B all C (v3_funct_2(B,A,A) & m1_relset_1(B,A,A) & v1_funct_1(C) & v1_funct_2(C,A,A) & v3_funct_2(C,A,A) & m1_relset_1(C,A,A) & v1_funct_2(B,A,A) & v1_funct_1(B) -> v3_funct_2(k5_funct_2(A,B,C),A,A) & m2_relset_1(k5_funct_2(A,B,C),A,A) & v1_funct_2(k5_funct_2(A,B,C),A,A) & v1_funct_1(k5_funct_2(A,B,C)))) # label(dt_k5_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1655 (all A all B all C all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> (all E (v1_funct_1(E) & v1_funct_2(E,B,C) & m2_relset_1(E,B,C) -> (v2_funct_1(k1_partfun1(A,B,B,C,D,E)) -> v2_funct_1(D) | B = k1_xboole_0 & k1_xboole_0 != A | k1_xboole_0 != B & C = k1_xboole_0))))) # label(t26_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1656 (all A all B (m2_relset_1(B,A,A) & v1_funct_2(B,A,A) & v1_funct_1(B) -> v1_partfun1(k3_partfun1(B,A,A),A,A))) # label(t134_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1657 (all A all B (-v1_xboole_0(B) -> -v1_xboole_0(k1_funct_2(A,B)))) # label(fc1_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1658 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (k1_relat_1(C) = A & (all D (r2_hidden(D,A) -> r2_hidden(k1_funct_1(C,D),B))) -> v1_funct_2(C,A,B) & m2_relset_1(C,A,B) & v1_funct_1(C)))) # label(t5_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1659 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (k1_xboole_0 = k1_relat_1(B) -> m2_relset_1(B,k1_xboole_0,A) & v1_funct_2(B,k1_xboole_0,A) & v1_funct_1(B)))) # label(t55_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1660 (all A all B (m2_relset_1(B,A,A) & v1_funct_2(B,A,A) & v1_funct_1(B) -> (all C (m2_relset_1(C,A,A) & v1_funct_2(C,A,A) & v1_funct_1(C) -> (B = k4_funct_2(A,B,C) & k2_relat_1(B) = A -> k6_partfun1(A) = C))))) # label(t75_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1661 $T # label(t72_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1662 (all A all B all C all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> (all E (v1_funct_1(E) & v1_relat_1(E) -> (r2_hidden(C,A) -> k1_funct_1(k5_relat_1(D,E),C) = k1_funct_1(E,k1_funct_1(D,C)) | B = k1_xboole_0))))) # label(t21_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1663 (all A all B (v1_funct_1(B) & m2_relset_1(B,A,A) & v1_funct_2(B,A,A) -> (all C (v1_funct_1(C) & v1_funct_2(C,A,A) & m2_relset_1(C,A,A) -> (r1_partfun1(B,C) -> B = C))))) # label(t143_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1664 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> (r1_partfun1(C,D) -> k1_xboole_0 = B & A != k1_xboole_0 | r2_hidden(D,k5_partfun1(A,B,C))))))) # label(t155_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1665 $T # label(t89_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.41	1666 (all A all B all C all D (m2_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) -> (r1_tarski(C,A) -> m2_relset_1(k2_partfun1(A,B,D,C),C,B) & v1_funct_2(k2_partfun1(A,B,D,C),C,B) & v1_funct_1(k2_partfun1(A,B,D,C)) | k1_xboole_0 != A & B = k1_xboole_0))) # label(t38_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1667 (all A all B all C (v1_funct_2(C,A,B) & m2_relset_1(C,A,B) & v1_funct_1(C) -> (all D (v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D) -> ((all E (r2_hidden(E,A) -> k1_funct_1(D,E) = k1_funct_1(C,E))) -> D = C))))) # label(t18_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1668 $T # label(t157_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1669 $T # label(t106_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1670 (all A all B all C (m1_relset_1(C,A,B) -> (v1_partfun1(C,A,B) & v1_funct_1(C) -> v1_funct_1(C) & v1_funct_2(C,A,B)))) # label(cc1_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1671 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> r1_tarski(k5_partfun1(A,B,C),k1_funct_2(A,B)))) # label(t159_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1672 (all A all B (r2_hidden(A,f1_s6_funct_2) & r2_hidden(B,f2_s6_funct_2) -> r2_hidden(f4_s6_funct_2(A,B),f3_s6_funct_2))) -> (exists A (v1_funct_1(A) & (all B all C (r2_hidden(B,f1_s6_funct_2) & r2_hidden(C,f2_s6_funct_2) -> k1_funct_1(A,k4_tarski(B,C)) = f4_s6_funct_2(B,C))) & m2_relset_1(A,k2_zfmisc_1(f1_s6_funct_2,f2_s6_funct_2),f3_s6_funct_2) & v1_funct_2(A,k2_zfmisc_1(f1_s6_funct_2,f2_s6_funct_2),f3_s6_funct_2))) # label(s6_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1673 (all A all B all C (v1_funct_2(C,A,B) & m2_relset_1(C,A,B) & v1_funct_1(C) -> (v2_funct_2(C,A,B) <-> B = k2_relat_1(C)))) # label(d3_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1674 (all A all B all C all D (v1_funct_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> (r1_tarski(k2_relat_1(D),C) -> A != k1_xboole_0 & k1_xboole_0 = B | v1_funct_1(D) & v1_funct_2(D,A,C) & m2_relset_1(D,A,C)))) # label(t8_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1675 (all A all B (m2_relset_1(B,A,A) -> k7_relset_1(A,A,A,A,k6_partfun1(A),B) = B & B = k7_relset_1(A,A,A,A,B,k6_partfun1(A)))) # label(t74_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1676 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(C,k1_funct_2(A,B)) -> k1_relat_1(C) = A & r1_tarski(k2_relat_1(C),B)))) # label(t169_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1677 $T # label(t103_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1678 $T # label(t111_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1679 $T # label(t90_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1680 $T # label(t84_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1681 $T # label(t63_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1682 (all A all B all C (m1_relset_1(B,A,A) & v1_funct_1(C) & v1_funct_2(C,A,A) & m1_relset_1(C,A,A) & v1_funct_2(B,A,A) & v1_funct_1(B) -> k4_funct_2(A,B,C) = k5_relat_1(B,C))) # label(redefinition_k4_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1683 (all A all B all C all D (m2_relset_1(D,k2_zfmisc_1(k1_tarski(A),k1_tarski(B)),k1_tarski(C)) & v1_funct_2(D,k2_zfmisc_1(k1_tarski(A),k1_tarski(B)),k1_tarski(C)) & v1_funct_1(D) -> k9_funct_2(A,B,C) = D)) # label(d5_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1684 (all A all B all C all D (-v1_xboole_0(A) & v1_funct_2(C,A,B) & m1_subset_1(D,A) & m1_relset_1(C,A,B) & v1_funct_1(C) -> m1_subset_1(k8_funct_2(A,B,C,D),B))) # label(dt_k8_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1685 $T # label(dt_k1_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1686 (all A (v1_relat_1(A) & v1_funct_1(A) -> m2_relset_1(A,k1_relat_1(A),k2_relat_1(A)) & v1_funct_2(A,k1_relat_1(A),k2_relat_1(A)) & v1_funct_1(A))) # label(t3_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1687 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) & v1_funct_2(C,A,B) -> (all D (v1_funct_2(D,B,A) & m2_relset_1(D,B,A) & v1_funct_1(D) -> (v2_funct_1(C) & k1_partfun1(A,B,B,A,C,D) = k6_partfun1(A) & B = k2_relat_1(C) -> k1_xboole_0 = B | D = k2_funct_1(C) | A = k1_xboole_0))))) # label(t36_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1688 (all A all B (-v1_xboole_0(B) -> (all C (m1_relset_1(C,A,B) -> (v1_funct_2(C,A,B) & v1_funct_1(C) -> v1_funct_1(C) & v1_partfun1(C,A,B) & v1_funct_2(C,A,B)))))) # label(cc5_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1689 (all A exists B (v1_relat_1(B) & v1_funct_1(B) & v1_funct_2(B,A,A) & v2_funct_2(B,A,A) & v3_funct_2(B,A,A) & v2_funct_1(B) & m1_relset_1(B,A,A))) # label(rc2_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1690 (all A all B all C (m2_relset_1(C,k1_tarski(A),B) & v1_funct_2(C,k1_tarski(A),B) & v1_funct_1(C) -> (B != k1_xboole_0 -> k1_tarski(k1_funct_1(C,A)) = k2_relat_1(C)))) # label(t62_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1691 (all A all B (v1_funct_1(B) & v1_funct_2(B,A,A) & m2_relset_1(B,A,A) -> ((all C all D (r2_hidden(D,A) & k1_funct_1(B,D) = k1_funct_1(B,C) & r2_hidden(C,A) -> D = C)) <-> v2_funct_1(B)))) # label(t77_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1692 f4_s11_funct_2 != f3_s11_funct_2 -> (exists A (v1_funct_1(A) & v1_funct_2(A,f1_s11_funct_2,f2_s11_funct_2) & m2_relset_1(A,f1_s11_funct_2,f2_s11_funct_2) & (all B (m1_subset_1(B,f1_s11_funct_2) -> -(k8_funct_2(f1_s11_funct_2,f2_s11_funct_2,A,B) != f7_s11_funct_2(B) & f4_s11_funct_2 != B & f3_s11_funct_2 != B))) & k8_funct_2(f1_s11_funct_2,f2_s11_funct_2,A,f4_s11_funct_2) = f6_s11_funct_2 & k8_funct_2(f1_s11_funct_2,f2_s11_funct_2,A,f3_s11_funct_2) = f5_s11_funct_2)) # label(s11_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1693 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> (r1_partfun1(C,D) -> k1_xboole_0 != A & B = k1_xboole_0 | D = C))))) # label(t142_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1694 $T # label(t93_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1695 $T # label(t126_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1696 (all A all B all C all D (v1_funct_1(D) & m2_relset_1(D,k1_tarski(A),B) & v1_funct_2(D,k1_tarski(A),B) -> (k1_xboole_0 != B -> r1_tarski(k2_funct_2(k1_tarski(A),B,D,C),k1_tarski(k1_funct_1(D,A)))))) # label(t64_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1697 $T # label(t163_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1698 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) & v1_funct_2(C,A,B) -> ((k1_xboole_0 = B -> A = k1_xboole_0) -> k5_partfun1(A,B,k3_partfun1(C,A,B)) = k1_tarski(C)))) # label(t161_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1699 (all A all B all C (m2_relset_1(C,A,k1_tarski(B)) & v1_funct_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,k1_tarski(B)) & v1_funct_2(D,A,k1_tarski(B)) -> k1_tarski(D) = k5_partfun1(A,k1_tarski(B),C))))) # label(t164_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1700 $T # label(t33_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1701 $T # label(t122_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1702 $T # label(t1_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1703 $T # label(t94_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1704 (all A all B (m2_relset_1(B,A,A) & v1_funct_1(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,A,A) -> (all D (m2_relset_1(D,A,A) & v1_funct_2(D,A,A) & v1_funct_1(D) -> (r1_partfun1(C,D) & r1_partfun1(B,D) -> r1_partfun1(B,C)))))))) # label(t152_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1705 (all A all B all C (m1_relset_1(C,A,B) -> (v1_funct_2(C,A,B) & v3_funct_2(C,A,B) & v1_funct_1(C) -> v1_funct_2(C,A,B) & v2_funct_2(C,A,B) & v2_funct_1(C) & v1_funct_1(C)))) # label(cc2_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1706 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) & v1_funct_2(C,A,B) -> (k2_relat_1(C) = B <-> (all D -(r2_hidden(D,B) & k1_xboole_0 = k3_funct_2(A,B,C,k1_tarski(D))))))) # label(t49_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1707 $T # label(t125_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1708 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) & v1_funct_2(C,A,B) -> (all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> ((all E (m1_subset_1(E,A) -> k1_funct_1(C,E) = k1_funct_1(D,E))) -> D = C))))) # label(t113_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1709 (all A all B all C all D (v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D) -> (all E -((all F -(k1_funct_1(D,F) = E & r2_hidden(F,C) & r2_hidden(F,A))) & r2_hidden(E,k2_funct_2(A,B,D,C)))))) # label(t115_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1710 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) & v1_funct_2(C,A,B) -> (B = k2_relat_1(C) & v2_funct_1(C) -> k1_xboole_0 = B | k5_relat_1(C,k2_funct_1(C)) = k6_partfun1(A) & k6_partfun1(B) = k5_relat_1(k2_funct_1(C),C)))) # label(t35_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1711 $T # label(t96_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1712 (all A all B all C (m2_relset_1(C,A,B) -> ((B = k1_xboole_0 -> A = k1_xboole_0) -> (v1_funct_2(C,A,B) <-> A = k4_relset_1(A,B,C))) & (B = k1_xboole_0 -> A = k1_xboole_0 | (v1_funct_2(C,A,B) <-> C = k1_xboole_0)))) # label(d1_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1713 (all A all B all C all D (v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D) -> -((all E -(r2_hidden(E,A) & k1_funct_1(D,E) = C)) & B = k2_relat_1(D) & r2_hidden(C,B)))) # label(t17_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1714 $T # label(t117_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1715 (all A all B all C all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> (all E -(r2_hidden(E,k2_funct_2(A,B,D,C)) & (all F (m1_subset_1(F,A) -> -(k1_funct_1(D,F) = E & r2_hidden(F,C)))))))) # label(t116_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1716 $T # label(t15_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1717 (all A all B all C (v1_funct_1(C) & v1_funct_2(C,A,B) & m2_relset_1(C,A,B) -> ((B = k1_xboole_0 -> A = k1_xboole_0) -> ((all D all E (r2_hidden(D,A) & r2_hidden(E,A) & k1_funct_1(C,D) = k1_funct_1(C,E) -> D = E)) <-> v2_funct_1(C))))) # label(t25_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1718 $T # label(t80_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1719 (exists A (v1_funct_1(A) & m2_relset_1(A,k2_zfmisc_1(f1_s8_funct_2,f2_s8_funct_2),f3_s8_funct_2) & (all B (m1_subset_1(B,f1_s8_funct_2) -> (all C (m1_subset_1(C,f2_s8_funct_2) -> k1_funct_1(A,k4_tarski(B,C)) = f4_s8_funct_2(B,C))))) & v1_funct_2(A,k2_zfmisc_1(f1_s8_funct_2,f2_s8_funct_2),f3_s8_funct_2))) # label(s8_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1720 (all A all B all C all D all E (v1_funct_2(E,A,B) & m2_relset_1(E,A,B) & v1_funct_1(E) -> (all F (v1_funct_1(F) & m2_relset_1(F,B,C) & v1_funct_2(F,B,C) -> -((k1_xboole_0 = C -> B = k1_xboole_0) & -r1_tarski(k3_funct_2(A,B,E,D),k3_funct_2(A,C,k1_partfun1(A,B,B,C,E,F),k2_funct_2(B,C,F,D))) & (k1_xboole_0 = B -> k1_xboole_0 = A)))))) # label(t53_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1721 (all A -v1_xboole_0(k1_funct_2(A,A))) # label(fc2_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1722 (all A all B all C all D (-v1_xboole_0(A) & m1_relset_1(C,A,B) & m1_subset_1(D,A) & v1_funct_2(C,A,B) & v1_funct_1(C) -> k1_funct_1(C,D) = k8_funct_2(A,B,C,D))) # label(redefinition_k8_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1723 (all A all B all C all D (v1_funct_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> (all E (v1_funct_2(E,B,C) & m2_relset_1(E,B,C) & v1_funct_1(E) -> (v2_funct_1(k1_partfun1(A,B,B,C,D,E)) & k2_relat_1(D) = B -> k1_xboole_0 != B & C = k1_xboole_0 | v2_funct_1(E) & v2_funct_1(D)))))) # label(t30_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1724 $T # label(t135_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1725 (all A all B (v1_funct_1(B) & m2_relset_1(B,A,A) & v1_funct_2(B,A,A) -> r2_hidden(B,k1_funct_2(A,A)))) # label(t12_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1726 (all A all B all C all D all E (m2_relset_1(E,A,B) & v1_funct_2(E,A,B) & v1_funct_1(E) -> (r2_hidden(C,A) & r2_hidden(k1_funct_1(E,C),D) -> k1_funct_1(k9_relset_1(A,B,D,E),C) = k1_funct_1(E,C) | k1_xboole_0 = B))) # label(t41_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1727 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (r1_tarski(k2_relat_1(B),A) -> v1_funct_2(B,k1_relat_1(B),A) & m2_relset_1(B,k1_relat_1(B),A) & v1_funct_1(B)))) # label(t4_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1728 (all A all B all C all D all E (-v1_xboole_0(B) & v1_funct_1(D) & v1_funct_2(E,B,C) & m1_relset_1(E,B,C) & v1_funct_1(E) & m1_relset_1(D,A,B) & v1_funct_2(D,A,B) -> k5_relat_1(D,E) = k7_funct_2(A,B,C,D,E))) # label(redefinition_k7_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1729 $T # label(t150_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1730 (all A all B -(r2_hidden(A,f1_s5_funct_2) & r2_hidden(B,f2_s5_funct_2) & (all C -(p1_s5_funct_2(A,B,C) & r2_hidden(C,f3_s5_funct_2))))) -> (exists A ((all B all C (r2_hidden(C,f2_s5_funct_2) & r2_hidden(B,f1_s5_funct_2) -> p1_s5_funct_2(B,C,k1_funct_1(A,k4_tarski(B,C))))) & m2_relset_1(A,k2_zfmisc_1(f1_s5_funct_2,f2_s5_funct_2),f3_s5_funct_2) & v1_funct_2(A,k2_zfmisc_1(f1_s5_funct_2,f2_s5_funct_2),f3_s5_funct_2) & v1_funct_1(A))) # label(s5_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1731 $T # label(t13_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1732 (all A all B (v3_funct_2(B,A,A) & m1_relset_1(B,A,A) & v1_funct_2(B,A,A) & v1_funct_1(B) -> v1_funct_2(k6_funct_2(A,B),A,A) & m2_relset_1(k6_funct_2(A,B),A,A) & v3_funct_2(k6_funct_2(A,B),A,A) & v1_funct_1(k6_funct_2(A,B)))) # label(dt_k6_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1733 (all A all B all C all D (v1_funct_2(D,k2_zfmisc_1(A,B),C) & m2_relset_1(D,k2_zfmisc_1(A,B),C) & v1_funct_1(D) -> (all E (v1_funct_1(E) & m2_relset_1(E,k2_zfmisc_1(A,B),C) & v1_funct_2(E,k2_zfmisc_1(A,B),C) -> ((all F (m1_subset_1(F,A) -> (all G (m1_subset_1(G,B) -> k1_funct_1(D,k4_tarski(F,G)) = k1_funct_1(E,k4_tarski(F,G)))))) -> E = D))))) # label(t120_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1734 (all A all B all C all D (m2_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) -> (all E (m2_relset_1(E,B,C) & v1_funct_2(E,B,C) & v1_funct_1(E) -> (k2_relat_1(E) = C & B = k2_relat_1(D) -> k2_relat_1(k1_partfun1(A,B,B,C,D,E)) = C | C = k1_xboole_0 | B = k1_xboole_0))))) # label(t20_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1735 (all A all B all C all D all E all F (m2_relset_1(F,k2_zfmisc_1(A,B),C) & v1_funct_2(F,k2_zfmisc_1(A,B),C) & v1_funct_1(F) -> (r2_hidden(D,A) & r2_hidden(E,B) -> r2_hidden(k1_funct_1(F,k4_tarski(D,E)),C) | C = k1_xboole_0))) # label(t119_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1736 $T # label(t114_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1737 $T # label(t91_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1738 (all A all B all C all D (v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D) -> (all E (v1_funct_1(E) & v1_funct_2(E,B,C) & m2_relset_1(E,B,C) -> (-(A != k1_xboole_0 & k1_xboole_0 != C & k1_xboole_0 = B) -> v1_funct_1(k1_partfun1(A,B,B,C,D,E)) & m2_relset_1(k1_partfun1(A,B,B,C,D,E),A,C) & v1_funct_2(k1_partfun1(A,B,B,C,D,E),A,C)))))) # label(t19_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1739 $T # label(t153_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1740 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) & v1_funct_2(C,A,B) -> (B != k1_xboole_0 -> (B = k2_relat_1(C) <-> (all D (k1_xboole_0 != D -> (all E (v1_funct_1(E) & m2_relset_1(E,B,D) & v1_funct_2(E,B,D) -> (all F (m2_relset_1(F,B,D) & v1_funct_2(F,B,D) & v1_funct_1(F) -> (k1_partfun1(A,B,B,D,C,F) = k1_partfun1(A,B,B,D,C,E) -> E = F))))))))))) # label(t22_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1741 (all A (m1_subset_1(A,f1_s13_funct_2) -> m1_subset_1(f3_s13_funct_2(A),f2_s13_funct_2))) -> (exists A (v1_funct_1(A) & v1_funct_2(A,f1_s13_funct_2,f2_s13_funct_2) & (all B (m1_subset_1(B,f1_s13_funct_2) -> f3_s13_funct_2(B) = k8_funct_2(f1_s13_funct_2,f2_s13_funct_2,A,B))) & m2_relset_1(A,f1_s13_funct_2,f2_s13_funct_2))) # label(s13_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1742 (all A all B (v1_funct_1(B) & v1_funct_2(B,A,A) & m2_relset_1(B,A,A) -> (all C (m2_relset_1(C,A,A) & v1_funct_2(C,A,A) & v1_funct_1(C) -> (B = k4_funct_2(A,C,B) & v2_funct_1(B) -> C = k6_partfun1(A)))))) # label(t76_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1743 (all A all B all C all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> r1_tarski(k9_relat_1(D,C),B))) # label(t44_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1744 (all A all B (m2_relset_1(B,A,A) & v1_funct_2(B,A,A) & v1_funct_1(B) -> k5_partfun1(A,A,k3_partfun1(B,A,A)) = k1_tarski(B))) # label(t162_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1745 (all A all B all C all D (v1_funct_1(C) & v1_funct_2(C,A,B) & m1_relset_1(C,A,B) -> k2_funct_2(A,B,C,D) = k9_relat_1(C,D))) # label(redefinition_k2_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1746 (all A all B all C all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> (r2_hidden(C,A) & v2_funct_1(D) -> C = k1_funct_1(k2_funct_1(D),k1_funct_1(D,C)) | B = k1_xboole_0))) # label(t32_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1747 (all A (m1_subset_1(A,f1_s3_funct_2) -> (exists B (m1_subset_1(B,f2_s3_funct_2) & p1_s3_funct_2(A,B))))) -> (exists A (m2_relset_1(A,f1_s3_funct_2,f2_s3_funct_2) & (all B (m1_subset_1(B,f1_s3_funct_2) -> p1_s3_funct_2(B,k8_funct_2(f1_s3_funct_2,f2_s3_funct_2,A,B)))) & v1_funct_2(A,f1_s3_funct_2,f2_s3_funct_2) & v1_funct_1(A))) # label(s3_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1748 (all A all B (v1_funct_1(B) & m2_relset_1(B,A,A) -> (all C (v1_funct_1(C) & m2_relset_1(C,A,A) & v1_funct_2(C,A,A) -> ((all D (r2_hidden(D,k4_relset_1(A,A,B)) -> k1_funct_1(B,D) = k1_funct_1(C,D))) <-> r1_partfun1(B,C)))))) # label(t146_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1749 $T # label(t68_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1750 (all A all B (v1_funct_1(B) & v1_funct_2(B,A,A) & v3_funct_2(B,A,A) & m2_relset_1(B,A,A) -> (all C (v1_funct_1(C) & v1_funct_2(C,A,A) & v3_funct_2(C,A,A) & m2_relset_1(C,A,A) -> (k5_funct_2(A,B,C) = C -> k6_partfun1(A) = B))))) # label(t86_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1751 $T # label(t71_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1752 (all A all B all C (r2_hidden(C,k1_funct_2(A,B)) -> v1_funct_1(C) & m2_relset_1(C,A,B) & v1_funct_2(C,A,B))) # label(t121_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1753 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,B) -> ((all E B != k1_tarski(E)) & k5_partfun1(A,B,D) = k5_partfun1(A,B,C) -> C = D))))) # label(t168_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1754 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) & v1_funct_2(C,A,B) -> ((all D -(r2_hidden(D,B) & (all E -(D = k1_funct_1(C,E) & r2_hidden(E,A))))) -> k2_relat_1(C) = B | k1_xboole_0 = B))) # label(t16_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1755 $T # label(t110_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1756 $T # label(t2_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1757 $T # label(t129_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1758 (all A all B (v1_funct_1(B) & m1_relset_1(B,A,A) & v3_funct_2(B,A,A) & v1_funct_2(B,A,A) -> k2_funct_1(B) = k6_funct_2(A,B))) # label(redefinition_k6_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1759 (all A all B all C all D (v1_funct_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> (B != k1_xboole_0 -> (all E (r2_hidden(E,A) & r2_hidden(k1_funct_1(D,E),C) <-> r2_hidden(E,k10_relat_1(D,C))))))) # label(t46_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1760 (all A (m1_subset_1(A,f1_s12_funct_2) -> r2_hidden(f3_s12_funct_2(A),f2_s12_funct_2))) -> (exists A (v1_funct_1(A) & v1_funct_2(A,f1_s12_funct_2,f2_s12_funct_2) & (all B (m1_subset_1(B,f1_s12_funct_2) -> k8_funct_2(f1_s12_funct_2,f2_s12_funct_2,A,B) = f3_s12_funct_2(B))) & m2_relset_1(A,f1_s12_funct_2,f2_s12_funct_2))) # label(s12_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1761 (all A all B (-v1_xboole_0(B) & -v1_xboole_0(A) -> (all C (m1_relset_1(C,A,B) -> (v1_funct_2(C,A,B) & v1_funct_1(C) -> v1_funct_2(C,A,B) & v1_partfun1(C,A,B) & -v1_xboole_0(C) & v1_funct_1(C)))))) # label(cc6_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1762 $T # label(t56_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1763 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) & v1_funct_2(C,A,B) -> -(-v2_funct_1(C) & (exists D (m2_relset_1(D,B,A) & k6_partfun1(A) = k1_partfun1(A,B,B,A,C,D) & v1_funct_2(D,B,A) & v1_funct_1(D))) & B != k1_xboole_0))) # label(t37_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1764 (all A all B all C (m2_relset_1(C,k1_xboole_0,A) & v1_funct_2(C,k1_xboole_0,A) & v1_funct_1(C) -> k1_xboole_0 = k2_funct_2(k1_xboole_0,A,C,B))) # label(t59_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1765 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,A) & v1_funct_2(C,A,A) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (r2_hidden(B,A) -> k1_funct_1(D,k1_funct_1(C,B)) = k1_funct_1(k5_relat_1(C,D),B)))))) # label(t70_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1766 $T # label(t98_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1767 (all A all B (v1_funct_1(B) & m2_relset_1(B,A,A) & v1_funct_2(B,A,A) -> k2_funct_2(A,A,B,A) = k2_relat_1(B))) # label(t79_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1768 (all A all B (v1_funct_1(B) & v3_funct_2(B,A,A) & m2_relset_1(B,A,A) & v1_funct_2(B,A,A) -> (all C (v1_funct_2(C,A,A) & m2_relset_1(C,A,A) & v3_funct_2(C,A,A) & v1_funct_1(C) -> (k5_funct_2(A,B,C) = k6_partfun1(A) -> C = k6_funct_2(A,B)))))) # label(t87_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1769 (all A all B all C (v1_funct_1(C) & v1_funct_2(C,A,B) & m2_relset_1(C,A,B) -> (v2_funct_1(C) & v2_funct_2(C,A,B) <-> v3_funct_2(C,A,B)))) # label(d4_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1770 (all A (r2_hidden(A,f1_s2_funct_2) -> r2_hidden(f3_s2_funct_2(A),f2_s2_funct_2))) -> (exists A (m2_relset_1(A,f1_s2_funct_2,f2_s2_funct_2) & (all B (r2_hidden(B,f1_s2_funct_2) -> k1_funct_1(A,B) = f3_s2_funct_2(B))) & v1_funct_2(A,f1_s2_funct_2,f2_s2_funct_2) & v1_funct_1(A))) # label(s2_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1771 (all A all B (v1_funct_1(B) & m2_relset_1(B,A,A) -> (all C (v1_funct_1(C) & m2_relset_1(C,A,A) & v1_funct_2(C,A,A) -> (r1_partfun1(B,C) -> r2_hidden(C,k5_partfun1(A,A,B))))))) # label(t156_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1772 $T # label(t137_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1773 (all A (k1_xboole_0 != A -> k1_xboole_0 = k1_funct_2(A,k1_xboole_0))) # label(t14_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1774 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,B) -> (all E (v1_funct_1(E) & v1_funct_2(E,A,B) & m2_relset_1(E,A,B) -> (r1_partfun1(D,E) & r1_partfun1(C,E) -> r1_partfun1(C,D) | B = k1_xboole_0 & k1_xboole_0 != A))))))) # label(t151_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1775 (all A all B all C (v1_funct_2(C,A,B) & m2_relset_1(C,A,B) & v1_funct_1(C) -> ((k1_xboole_0 = B -> A = k1_xboole_0) -> A = k3_funct_2(A,B,C,k2_funct_2(A,B,C,A))))) # label(t51_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1776 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> -((all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> -r1_partfun1(C,D))) & (B = k1_xboole_0 -> k1_xboole_0 = A)))) # label(t148_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1777 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> (v1_partfun1(C,A,B) -> v1_funct_2(C,A,B) & m2_relset_1(C,A,B) & v1_funct_1(C)))) # label(t131_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1778 $T # label(t140_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1779 $T # label(t10_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1780 $T # label(t138_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1781 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> (v1_funct_2(C,A,B) & m2_relset_1(C,A,B) & v1_funct_1(C) -> v1_partfun1(C,A,B) | k1_xboole_0 != A & B = k1_xboole_0))) # label(t132_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1782 (all A all B all C all D (m2_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) -> (r2_hidden(C,A) -> r2_hidden(k1_funct_1(D,C),B) | k1_xboole_0 = B))) # label(t7_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1783 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> (all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> -((B = k1_xboole_0 -> A = k1_xboole_0) & (all E (v1_funct_1(E) & v1_funct_2(E,A,B) & m2_relset_1(E,A,B) -> -(r1_partfun1(C,E) & r1_partfun1(D,E)))) & r1_partfun1(C,D)))))) # label(t154_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1784 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) -> (v2_funct_1(C) & k2_relat_1(C) = B -> m2_relset_1(k2_funct_1(C),B,A) & v1_funct_2(k2_funct_1(C),B,A) & v1_funct_1(k2_funct_1(C))))) # label(t31_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1785 $T # label(t78_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1786 (all A all B all C (v1_funct_1(B) & m1_relset_1(B,A,A) & v1_funct_2(C,A,A) & m1_relset_1(C,A,A) & v1_funct_1(C) & v1_funct_2(B,A,A) -> v1_funct_1(k4_funct_2(A,B,C)) & m2_relset_1(k4_funct_2(A,B,C),A,A) & v1_funct_2(k4_funct_2(A,B,C),A,A))) # label(dt_k4_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1787 $T # label(t95_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1788 $T # label(t102_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1789 (all A all B (v1_funct_2(B,A,A) & m2_relset_1(B,A,A) & v1_funct_1(B) -> r1_tarski(k2_relat_1(B),A) & A = k4_relset_1(A,A,B))) # label(t67_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1790 (all A all B all C all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> r1_tarski(k10_relat_1(D,C),A))) # label(t47_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1791 (all A all B r1_tarski(k1_funct_2(A,B),k4_partfun1(A,B))) # label(t141_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1792 $T # label(t108_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1793 (all A all B exists C (m1_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) & v1_relat_1(C))) # label(rc1_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1794 (all A (m1_subset_1(A,f1_s14_funct_2) -> (exists B (m1_subset_1(B,f2_s14_funct_2) & p1_s14_funct_2(A,B))))) -> (exists A (v1_funct_2(A,f1_s14_funct_2,f2_s14_funct_2) & (all B (m1_subset_1(B,f1_s14_funct_2) -> p1_s14_funct_2(B,k8_funct_2(f1_s14_funct_2,f2_s14_funct_2,A,B)))) & m2_relset_1(A,f1_s14_funct_2,f2_s14_funct_2) & v1_funct_1(A))) # label(s14_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1795 $T # label(t107_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1796 (all A all B all C all D (v1_funct_2(D,A,k1_tarski(B)) & m2_relset_1(D,A,k1_tarski(B)) & v1_funct_1(D) -> (r2_hidden(C,A) -> B = k1_funct_1(D,C)))) # label(t65_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.42	1797 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) & v1_funct_2(C,A,B) -> (all D (m2_relset_1(D,B,A) & v1_funct_2(D,B,A) & v1_funct_1(D) -> (B = k2_relat_1(C) & (all E all F ((E = k1_funct_1(C,F) & r2_hidden(F,A) -> r2_hidden(E,B) & F = k1_funct_1(D,E)) & (r2_hidden(E,B) & k1_funct_1(D,E) = F -> r2_hidden(F,A) & k1_funct_1(C,F) = E))) & v2_funct_1(C) -> k1_xboole_0 = A | k2_funct_1(C) = D | k1_xboole_0 = B))))) # label(t34_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1798 $T # label(t81_funct_2) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1799 $T # label(t6_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1800 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> a_3_7_domain_1(A,B,C) = k7_subset_1(A,B,C))))))) # label(t64_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1801 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> B = a_2_1_domain_1(A,B))))) # label(t52_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1802 (all A all B all C all D all E all F all G all H (-v1_xboole_0(A) & m1_subset_1(F,B) & m1_subset_1(G,C) & m1_subset_1(H,D) & m1_subset_1(E,A) & -v1_xboole_0(D) & -v1_xboole_0(C) & -v1_xboole_0(B) -> m1_subset_1(k5_domain_1(A,B,C,D,E,F,G,H),k4_zfmisc_1(A,B,C,D)))) # label(dt_k5_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1803 (all A all B all C all D all E all F all G all H (-v1_xboole_0(A) & -v1_xboole_0(B) & -v1_xboole_0(C) & m1_subset_1(E,A) & m1_subset_1(F,B) & m1_subset_1(H,D) & m1_subset_1(G,C) & -v1_xboole_0(D) -> k5_domain_1(A,B,C,D,E,F,G,H) = k4_mcart_1(E,F,G,H))) # label(redefinition_k5_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1804 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(B)) & -v1_xboole_0(B) -> ((exists D (r2_hidden(D,C) & D = A & m1_subset_1(D,B))) <-> r2_hidden(A,a_2_1_domain_1(B,C))))) # label(fraenkel_a_2_1_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1805 (all A all B all C all D (m1_subset_1(D,k2_zfmisc_1(k2_zfmisc_1(A,B),C)) & -v1_xboole_0(C) & -v1_xboole_0(B) & -v1_xboole_0(A) -> k14_domain_1(A,B,C,D) = k17_mcart_1(D))) # label(redefinition_k14_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1806 (all A all B (m1_subset_1(B,A) & -v1_xboole_0(A) -> k6_domain_1(A,B) = k1_tarski(B))) # label(redefinition_k6_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1807 (all A all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (-v1_xboole_0(E) -> (r2_hidden(A,k4_zfmisc_1(B,C,D,E)) <-> (exists F ((exists G ((exists H (m1_subset_1(H,D) & (exists I (m1_subset_1(I,E) & k4_mcart_1(F,G,H,I) = A)))) & m1_subset_1(G,C))) & m1_subset_1(F,B)))))))))))) # label(t31_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1808 (all A all B all C all D all E (-v1_xboole_0(B) & -v1_xboole_0(D) & -v1_xboole_0(E) & -v1_xboole_0(C) -> (r2_hidden(A,a_4_2_domain_1(B,C,D,E)) <-> (exists F exists G exists H exists I (m1_subset_1(F,B) & m1_subset_1(G,C) & m1_subset_1(I,E) & p1_s4_domain_1(F,G,H,I) & A = k5_domain_1(B,C,D,E,F,G,H,I) & m1_subset_1(H,D)))))) # label(fraenkel_a_4_2_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1809 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> a_3_3_domain_1(A,B,C) = k6_subset_1(A,B,C))))))) # label(t60_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1810 (all A all B (-v1_xboole_0(B) -> ((exists C (m1_subset_1(C,B) & C = A)) <-> r2_hidden(A,a_1_0_domain_1(B))))) # label(fraenkel_a_1_0_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1811 $T # label(t47_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1812 $T # label(t27_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1813 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,k2_zfmisc_1(A,B)) -> (all D (m1_subset_1(D,k2_zfmisc_1(A,B)) -> (k1_mcart_1(C) = k1_mcart_1(D) & k2_mcart_1(C) = k2_mcart_1(D) -> C = D))))))))) # label(t12_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1814 (all A all B all C all D (-v1_xboole_0(B) & -v1_xboole_0(C) & -v1_xboole_0(D) -> (r2_hidden(A,a_3_0_domain_1(B,C,D)) <-> (exists E exists F exists G (m1_subset_1(G,D) & A = k4_domain_1(B,C,D,E,F,G) & m1_subset_1(F,C) & m1_subset_1(E,B)))))) # label(fraenkel_a_3_0_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1815 (all A (-v1_xboole_0(A) -> m1_subset_1(a_1_2_domain_1(A),k1_zfmisc_1(A)))) # label(s1_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1816 (all A all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (m1_subset_1(E,k3_zfmisc_1(B,C,D)) -> ((all F (m1_subset_1(F,B) -> (all G (m1_subset_1(G,C) -> (all H (m1_subset_1(H,D) -> (E = k4_domain_1(B,C,D,F,G,H) -> F = A))))))) <-> k5_mcart_1(B,C,D,E) = A))))))))) # label(t24_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1817 (all A all B all C all D (-v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(B)) & m1_subset_1(D,k1_zfmisc_1(B)) -> ((exists E (m1_subset_1(E,B) & -(r2_hidden(E,C) <-> r2_hidden(E,D)) & E = A)) <-> r2_hidden(A,a_3_7_domain_1(B,C,D))))) # label(fraenkel_a_3_7_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1818 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (-v1_xboole_0(E) -> ((all F ((exists G ((exists H (m1_subset_1(H,C) & (exists I ((exists J (F = k4_mcart_1(G,H,I,J) & m1_subset_1(J,E))) & m1_subset_1(I,D))))) & m1_subset_1(G,B))) <-> r2_hidden(F,A))) <-> k4_zfmisc_1(B,C,D,E) = A))))))))))) # label(t33_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1819 (all A all B (-v1_xboole_0(B) -> ((exists C (A = C & p2_s5_domain_1(C) & m1_subset_1(C,B))) <-> r2_hidden(A,a_1_4_domain_1(B))))) # label(fraenkel_a_1_4_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1820 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> a_3_5_domain_1(A,B,C) = k7_subset_1(A,B,C))))))) # label(t62_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1821 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (all E (m1_subset_1(E,k1_zfmisc_1(B)) -> (all F (m1_subset_1(F,k1_zfmisc_1(C)) -> a_6_0_domain_1(A,B,C,D,E,F) = k13_mcart_1(A,B,C,D,E,F))))))))))))) # label(t54_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1822 (all A all B all C (m1_subset_1(B,A) & m1_subset_1(C,A) & -v1_xboole_0(A) -> k7_domain_1(A,C,B) = k7_domain_1(A,B,C))) # label(commutativity_k7_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1823 $T # label(t29_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1824 (all A all B all C all D all E all F (-v1_xboole_0(A) & m1_subset_1(C,A) & m1_subset_1(E,A) & m1_subset_1(F,A) & m1_subset_1(D,A) & m1_subset_1(B,A) -> k10_domain_1(A,B,C,D,E,F) = k3_enumset1(B,C,D,E,F))) # label(redefinition_k10_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1825 (all A (-v1_xboole_0(A) -> ((all B (m1_subset_1(B,A) -> (p1_s5_domain_1(B) -> p2_s5_domain_1(B)))) -> r1_tarski(a_1_3_domain_1(A),a_1_4_domain_1(A))))) # label(s5_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1826 (all A all B (-v1_xboole_0(B) -> ((exists C (C = A & -$T & m1_subset_1(C,B))) <-> r2_hidden(A,a_1_1_domain_1(B))))) # label(fraenkel_a_1_1_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1827 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> ((all E ((exists F ((exists G ((exists H (m1_subset_1(H,D) & E = k3_mcart_1(F,G,H))) & m1_subset_1(G,C))) & m1_subset_1(F,B))) <-> r2_hidden(E,A))) -> k3_zfmisc_1(B,C,D) = A))))))))) # label(t16_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1828 (all A all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> -(r2_hidden(A,k2_zfmisc_1(B,C)) & (all D (m1_subset_1(D,B) -> (all E (m1_subset_1(E,C) -> A != k4_tarski(D,E)))))))))) # label(t9_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1829 (all A all B all C (-v1_xboole_0(A) & -v1_xboole_0(B) & m1_subset_1(C,k2_zfmisc_1(A,B)) -> k2_mcart_1(C) = k3_domain_1(A,B,C))) # label(redefinition_k3_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1830 (all A all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (-v1_xboole_0(E) -> (all F (m1_subset_1(F,k4_zfmisc_1(B,C,D,E)) -> (k11_mcart_1(B,C,D,E,F) = A <-> (all G (m1_subset_1(G,B) -> (all H (m1_subset_1(H,C) -> (all I (m1_subset_1(I,D) -> (all J (m1_subset_1(J,E) -> (F = k5_domain_1(B,C,D,E,G,H,I,J) -> J = A)))))))))))))))))))) # label(t43_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1831 $T # label(t20_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1832 (all A ((exists B (m1_subset_1(B,f1_s10_domain_1) & p1_s10_domain_1(B) & B = A)) <-> r2_hidden(A,a_0_4_domain_1))) # label(fraenkel_a_0_4_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1833 (all A all B (-v1_xboole_0(B) -> ((exists C (m1_subset_1(C,B) & p1_s6_domain_1(C) & C = A)) <-> r2_hidden(A,a_1_5_domain_1(B))))) # label(fraenkel_a_1_5_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1834 $T # label(t13_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1835 (all A all B all C all D (m1_subset_1(C,k1_zfmisc_1(B)) & m1_subset_1(D,k1_zfmisc_1(B)) & -v1_xboole_0(B) -> (r2_hidden(A,a_3_6_domain_1(B,C,D)) <-> (exists E ((-r2_hidden(E,D) <-> r2_hidden(E,C)) & E = A & m1_subset_1(E,B)))))) # label(fraenkel_a_3_6_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1836 (all A (r2_hidden(A,a_0_3_domain_1) <-> (exists B (m1_subset_1(B,f1_s10_domain_1) & p1_s10_domain_1(B) & p2_s10_domain_1(B) & B = A)))) # label(fraenkel_a_0_3_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1837 (all A all B all C all D (-v1_xboole_0(B) & -v1_xboole_0(C) & m1_subset_1(D,k2_zfmisc_1(A,k2_zfmisc_1(B,C))) & -v1_xboole_0(A) -> k16_domain_1(A,B,C,D) = k19_mcart_1(D))) # label(redefinition_k16_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1838 (all A all B all C all D all E (-v1_xboole_0(B) & -v1_xboole_0(C) & -v1_xboole_0(D) & -v1_xboole_0(E) -> (r2_hidden(A,a_4_0_domain_1(B,C,D,E)) <-> (exists F exists G exists H exists I (m1_subset_1(I,E) & A = k5_domain_1(B,C,D,E,F,G,H,I) & m1_subset_1(H,D) & m1_subset_1(G,C) & m1_subset_1(F,B)))))) # label(fraenkel_a_4_0_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1839 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (-v1_xboole_0(E) -> ((all F (r2_hidden(F,A) <-> (exists G ((exists H (m1_subset_1(H,C) & (exists I ((exists J (m1_subset_1(J,E) & k4_mcart_1(G,H,I,J) = F)) & m1_subset_1(I,D))))) & m1_subset_1(G,B))))) -> k4_zfmisc_1(B,C,D,E) = A))))))))))) # label(t32_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1840 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> k4_zfmisc_1(A,B,C,D) = a_4_0_domain_1(A,B,C,D))))))))) # label(t51_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1841 $T # label(t38_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1842 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (m1_subset_1(E,k1_zfmisc_1(A)) -> (all F (m1_subset_1(F,k1_zfmisc_1(B)) -> (all G (m1_subset_1(G,k1_zfmisc_1(C)) -> (all H (m1_subset_1(H,k1_zfmisc_1(D)) -> k14_mcart_1(A,B,C,D,E,F,G,H) = a_8_0_domain_1(A,B,C,D,E,F,G,H))))))))))))))))) # label(t55_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1843 (all A all B all C (-v1_xboole_0(A) & -v1_xboole_0(B) & m1_subset_1(C,k2_zfmisc_1(A,B)) -> k1_mcart_1(C) = k2_domain_1(A,B,C))) # label(redefinition_k2_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1844 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> a_3_6_domain_1(A,B,C) = k7_subset_1(A,B,C))))))) # label(t63_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1845 (all A all B all C all D (-v1_xboole_0(D) & -v1_xboole_0(C) & -v1_xboole_0(B) -> ((exists E exists F exists G (m1_subset_1(E,B) & m1_subset_1(F,C) & m1_subset_1(G,D) & k4_domain_1(B,C,D,E,F,G) = A & p1_s3_domain_1(E,F,G))) <-> r2_hidden(A,a_3_8_domain_1(B,C,D))))) # label(fraenkel_a_3_8_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1846 (all A all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (m1_subset_1(E,k3_zfmisc_1(B,C,D)) -> ((all F (m1_subset_1(F,B) -> (all G (m1_subset_1(G,C) -> (all H (m1_subset_1(H,D) -> (E = k4_domain_1(B,C,D,F,G,H) -> G = A))))))) <-> k6_mcart_1(B,C,D,E) = A))))))))) # label(t25_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1847 (all A all B all C all D (-v1_xboole_0(A) & -v1_xboole_0(B) & m1_subset_1(D,k2_zfmisc_1(A,k2_zfmisc_1(B,C))) & -v1_xboole_0(C) -> m1_subset_1(k17_domain_1(A,B,C,D),C))) # label(dt_k17_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1848 (all A all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (-v1_xboole_0(E) -> (all F (m1_subset_1(F,k4_zfmisc_1(B,C,D,E)) -> (k8_mcart_1(B,C,D,E,F) = A <-> (all G (m1_subset_1(G,B) -> (all H (m1_subset_1(H,C) -> (all I (m1_subset_1(I,D) -> (all J (m1_subset_1(J,E) -> (k5_domain_1(B,C,D,E,G,H,I,J) = F -> G = A)))))))))))))))))))) # label(t40_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1849 (all A all B all C all D all E (m1_subset_1(D,k1_zfmisc_1(B)) & m1_subset_1(E,k1_zfmisc_1(C)) & -v1_xboole_0(C) & -v1_xboole_0(B) -> (r2_hidden(A,a_4_1_domain_1(B,C,D,E)) <-> (exists F exists G (m1_subset_1(F,B) & m1_subset_1(G,C) & r2_hidden(G,E) & r2_hidden(F,D) & k1_domain_1(B,C,F,G) = A))))) # label(fraenkel_a_4_1_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1850 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> a_3_1_domain_1(A,B,C) = k5_subset_1(A,B,C))))))) # label(t58_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1851 $T # label(t36_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1852 $T # label(t46_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1853 (all A all B all C all D (m1_subset_1(D,k1_zfmisc_1(B)) & m1_subset_1(C,k1_zfmisc_1(B)) & -v1_xboole_0(B) -> ((exists E (E = A & (r2_hidden(E,C) & -r2_hidden(E,D) | r2_hidden(E,D) & -r2_hidden(E,C)) & m1_subset_1(E,B))) <-> r2_hidden(A,a_3_4_domain_1(B,C,D))))) # label(fraenkel_a_3_4_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1854 $T # label(t7_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1855 (all A all B all C all D (-v1_xboole_0(A) & m1_subset_1(D,k2_zfmisc_1(k2_zfmisc_1(A,B),C)) & -v1_xboole_0(C) & -v1_xboole_0(B) -> m1_subset_1(k15_domain_1(A,B,C,D),B))) # label(dt_k15_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1856 (all A all B (-v1_xboole_0(B) -> (r2_hidden(A,a_1_2_domain_1(B)) <-> (exists C (m1_subset_1(C,B) & A = C & p1_s1_domain_1(C)))))) # label(fraenkel_a_1_2_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1857 $T # label(t3_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1858 (all A ((exists B exists C (m1_subset_1(C,f2_s9_domain_1) & p1_s9_domain_1(B,C) & A = f4_s9_domain_1(B,C) & m1_subset_1(B,f1_s9_domain_1))) <-> r2_hidden(A,a_0_2_domain_1))) # label(fraenkel_a_0_2_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1859 $T # label(t1_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1860 (all A (r2_hidden(A,a_0_1_domain_1) <-> (exists B (m1_subset_1(B,f1_s8_domain_1) & p1_s8_domain_1(B) & f3_s8_domain_1(B) = A)))) # label(fraenkel_a_0_1_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1861 (all A all B all C all D all E all F all G all H all I (-v1_xboole_0(C) & m1_subset_1(G,k1_zfmisc_1(C)) & m1_subset_1(H,k1_zfmisc_1(D)) & m1_subset_1(I,k1_zfmisc_1(E)) & m1_subset_1(F,k1_zfmisc_1(B)) & -v1_xboole_0(E) & -v1_xboole_0(D) & -v1_xboole_0(B) -> ((exists J exists K exists L exists M (m1_subset_1(K,C) & m1_subset_1(M,E) & A = k5_domain_1(B,C,D,E,J,K,L,M) & r2_hidden(J,F) & r2_hidden(M,I) & r2_hidden(L,H) & r2_hidden(K,G) & m1_subset_1(L,D) & m1_subset_1(J,B))) <-> r2_hidden(A,a_8_0_domain_1(B,C,D,E,F,G,H,I))))) # label(fraenkel_a_8_0_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.20/5.43	1862 (all A all B all C (-v1_xboole_0(C) & -v1_xboole_0(B) -> ((exists D exists E (k1_domain_1(B,C,D,E) = A & p1_s2_domain_1(D,E) & m1_subset_1(E,C) & m1_subset_1(D,B))) <-> r2_hidden(A,a_2_3_domain_1(B,C))))) # label(fraenkel_a_2_3_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1863 (all A all B all C all D (-v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(B)) & m1_subset_1(D,k1_zfmisc_1(B)) -> ((exists E (A = E & -r2_hidden(E,D) & r2_hidden(E,C) & m1_subset_1(E,B))) <-> r2_hidden(A,a_3_3_domain_1(B,C,D))))) # label(fraenkel_a_3_3_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1864 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> m1_subset_1(a_2_3_domain_1(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B))))))) # label(s2_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1865 (all A all B all C (m1_subset_1(B,A) & m1_subset_1(C,A) & -v1_xboole_0(A) -> m1_subset_1(k7_domain_1(A,B,C),k1_zfmisc_1(A)))) # label(dt_k7_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1866 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> k3_subset_1(A,B) = a_2_2_domain_1(A,B))))) # label(t57_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1867 $T # label(t11_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1868 $T # label(t10_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1869 (all A all B (-v1_xboole_0(B) -> (r2_hidden(A,a_1_6_domain_1(B)) <-> (exists C (m1_subset_1(C,B) & A = C & p2_s6_domain_1(C)))))) # label(fraenkel_a_1_6_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1870 (all A all B all C all D all E all F (-v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(F,A) & m1_subset_1(E,A) & m1_subset_1(D,A) -> m1_subset_1(k10_domain_1(A,B,C,D,E,F),k1_zfmisc_1(A)))) # label(dt_k10_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1871 (all A all B all C all D (-v1_xboole_0(B) & m1_subset_1(D,B) & m1_subset_1(C,A) & -v1_xboole_0(A) -> m1_subset_1(k1_domain_1(A,B,C,D),k2_zfmisc_1(A,B)))) # label(dt_k1_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1872 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> m1_subset_1(a_4_2_domain_1(A,B,C,D),k1_zfmisc_1(k4_zfmisc_1(A,B,C,D))))))))))) # label(s4_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1873 $T # label(t34_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1874 (all A all B all C all D (-v1_xboole_0(B) & -v1_xboole_0(C) & m1_subset_1(D,k2_zfmisc_1(A,k2_zfmisc_1(B,C))) & -v1_xboole_0(A) -> k17_domain_1(A,B,C,D) = k20_mcart_1(D))) # label(redefinition_k17_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1875 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,A) -> m1_subset_1(k6_domain_1(A,B),k1_zfmisc_1(A)))) # label(dt_k6_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1876 (all A all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> ((exists E (m1_subset_1(E,B) & (exists F ((exists G (m1_subset_1(G,D) & A = k3_mcart_1(E,F,G))) & m1_subset_1(F,C))))) <-> r2_hidden(A,k3_zfmisc_1(B,C,D))))))))) # label(t15_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1877 (all A (r2_hidden(A,a_0_0_domain_1) <-> (exists B (m1_subset_1(B,f1_s7_domain_1) & p1_s7_domain_1(B) & B = A)))) # label(fraenkel_a_0_0_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1878 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> a_3_0_domain_1(A,B,C) = k3_zfmisc_1(A,B,C))))))) # label(t50_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1879 (all A all B all C all D (m1_subset_1(C,A) & m1_subset_1(D,B) & -v1_xboole_0(B) & -v1_xboole_0(A) -> k4_tarski(C,D) = k1_domain_1(A,B,C,D))) # label(redefinition_k1_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1880 (all A all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (-v1_xboole_0(E) -> (all F (m1_subset_1(F,k4_zfmisc_1(B,C,D,E)) -> ((all G (m1_subset_1(G,B) -> (all H (m1_subset_1(H,C) -> (all I (m1_subset_1(I,D) -> (all J (m1_subset_1(J,E) -> (k5_domain_1(B,C,D,E,G,H,I,J) = F -> H = A))))))))) <-> k9_mcart_1(B,C,D,E,F) = A))))))))))) # label(t41_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1881 (all A all B all C all D all E all F (-v1_xboole_0(A) & -v1_xboole_0(B) & m1_subset_1(D,A) & m1_subset_1(E,B) & m1_subset_1(F,C) & -v1_xboole_0(C) -> m1_subset_1(k4_domain_1(A,B,C,D,E,F),k3_zfmisc_1(A,B,C)))) # label(dt_k4_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1882 (all A all B all C all D all E all F all G (m1_subset_1(E,k1_zfmisc_1(B)) & m1_subset_1(F,k1_zfmisc_1(C)) & m1_subset_1(G,k1_zfmisc_1(D)) & -v1_xboole_0(D) & -v1_xboole_0(C) & -v1_xboole_0(B) -> (r2_hidden(A,a_6_0_domain_1(B,C,D,E,F,G)) <-> (exists H exists I exists J (m1_subset_1(H,B) & m1_subset_1(I,C) & r2_hidden(H,E) & r2_hidden(I,F) & r2_hidden(J,G) & k4_domain_1(B,C,D,H,I,J) = A & m1_subset_1(J,D)))))) # label(fraenkel_a_6_0_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1883 (all A all B all C all D (-v1_xboole_0(B) & m1_subset_1(D,k1_zfmisc_1(B)) & m1_subset_1(C,k1_zfmisc_1(B)) -> (r2_hidden(A,a_3_5_domain_1(B,C,D)) <-> (exists E (A = E & (-r2_hidden(E,C) <-> r2_hidden(E,D)) & m1_subset_1(E,B)))))) # label(fraenkel_a_3_5_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1884 (all A all B all C (m1_subset_1(B,A) & m1_subset_1(C,A) & -v1_xboole_0(A) -> k2_tarski(B,C) = k7_domain_1(A,B,C))) # label(redefinition_k7_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1885 (all A all B all C (-v1_xboole_0(A) & -v1_xboole_0(B) & m1_subset_1(C,k2_zfmisc_1(A,B)) -> m1_subset_1(k3_domain_1(A,B,C),B))) # label(dt_k3_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1886 $T # label(t35_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1887 $T # label(t2_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1888 $T # label(t18_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1889 (all A all B all C all D all E (-v1_xboole_0(A) & m1_subset_1(C,A) & m1_subset_1(D,A) & m1_subset_1(E,A) & m1_subset_1(B,A) -> m1_subset_1(k9_domain_1(A,B,C,D,E),k1_zfmisc_1(A)))) # label(dt_k9_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1890 (all A all B all C all D all E all F all G all H (-v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(F,A) & m1_subset_1(H,A) & m1_subset_1(G,A) & m1_subset_1(E,A) & m1_subset_1(D,A) -> k12_domain_1(A,B,C,D,E,F,G,H) = k5_enumset1(B,C,D,E,F,G,H))) # label(redefinition_k12_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1891 $T # label(t30_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1892 $T # label(t21_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1893 $T # label(t4_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1894 $T # label(t39_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1895 (all A (-v1_xboole_0(A) -> a_1_1_domain_1(A) = k1_subset_1(A))) # label(t56_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1896 $T # label(t5_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1897 (all A all B all C all D all E (-v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(E,A) & m1_subset_1(D,A) & m1_subset_1(C,A) -> k2_enumset1(B,C,D,E) = k9_domain_1(A,B,C,D,E))) # label(redefinition_k9_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1898 $T # label(t44_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1899 $T # label(t19_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1900 (all A all B all C all D all E all F all G (m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) & m1_subset_1(E,A) & m1_subset_1(F,A) & m1_subset_1(G,A) & -v1_xboole_0(A) -> k11_domain_1(A,B,C,D,E,F,G) = k4_enumset1(B,C,D,E,F,G))) # label(redefinition_k11_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1901 (all A all B all C all D (-v1_xboole_0(B) & -v1_xboole_0(C) & m1_subset_1(D,k2_zfmisc_1(k2_zfmisc_1(A,B),C)) & -v1_xboole_0(A) -> m1_subset_1(k14_domain_1(A,B,C,D),A))) # label(dt_k14_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.43	1902 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(B)) -> k12_mcart_1(A,B,C,D) = a_4_1_domain_1(A,B,C,D))))))))) # label(t53_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1903 (all A all B all C all D all E all F all G all H all I (m1_subset_1(E,A) & m1_subset_1(H,A) & m1_subset_1(I,A) & m1_subset_1(G,A) & m1_subset_1(F,A) & m1_subset_1(D,A) & m1_subset_1(C,A) & m1_subset_1(B,A) & -v1_xboole_0(A) -> k6_enumset1(B,C,D,E,F,G,H,I) = k13_domain_1(A,B,C,D,E,F,G,H,I))) # label(redefinition_k13_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1904 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> k7_subset_1(A,B,C) = a_3_4_domain_1(A,B,C))))))) # label(t61_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1905 (all A all B all C all D (-v1_xboole_0(A) & -v1_xboole_0(B) & m1_subset_1(D,k2_zfmisc_1(A,k2_zfmisc_1(B,C))) & -v1_xboole_0(C) -> m1_subset_1(k16_domain_1(A,B,C,D),B))) # label(dt_k16_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1906 $T # label(t23_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1907 (all A all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (m1_subset_1(E,k3_zfmisc_1(B,C,D)) -> (A = k7_mcart_1(B,C,D,E) <-> (all F (m1_subset_1(F,B) -> (all G (m1_subset_1(G,C) -> (all H (m1_subset_1(H,D) -> (E = k4_domain_1(B,C,D,F,G,H) -> H = A)))))))))))))))) # label(t26_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1908 (all A (-v1_xboole_0(A) -> ((all B (m1_subset_1(B,A) -> (p2_s6_domain_1(B) <-> p1_s6_domain_1(B)))) -> a_1_6_domain_1(A) = a_1_5_domain_1(A)))) # label(s6_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1909 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> m1_subset_1(a_3_8_domain_1(A,B,C),k1_zfmisc_1(k3_zfmisc_1(A,B,C))))))))) # label(s3_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1910 (all A all B all C (-v1_xboole_0(B) & m1_subset_1(C,k2_zfmisc_1(A,B)) & -v1_xboole_0(A) -> m1_subset_1(k2_domain_1(A,B,C),A))) # label(dt_k2_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1911 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> k2_zfmisc_1(A,B) = a_2_0_domain_1(A,B))))) # label(t49_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1912 (all A all B all C all D all E all F all G (m1_subset_1(D,A) & m1_subset_1(F,A) & m1_subset_1(G,A) & m1_subset_1(E,A) & m1_subset_1(C,A) & m1_subset_1(B,A) & -v1_xboole_0(A) -> m1_subset_1(k11_domain_1(A,B,C,D,E,F,G),k1_zfmisc_1(A)))) # label(dt_k11_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1913 (all A all B (-v1_xboole_0(B) -> (r2_hidden(A,a_1_3_domain_1(B)) <-> (exists C (A = C & p1_s5_domain_1(C) & m1_subset_1(C,B)))))) # label(fraenkel_a_1_3_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1914 (all A all B all C all D all E all F all G all H (m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(F,A) & m1_subset_1(G,A) & m1_subset_1(H,A) & m1_subset_1(E,A) & m1_subset_1(D,A) & -v1_xboole_0(A) -> m1_subset_1(k12_domain_1(A,B,C,D,E,F,G,H),k1_zfmisc_1(A)))) # label(dt_k12_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1915 $T # label(t37_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1916 (all A all B all C (-v1_xboole_0(C) & -v1_xboole_0(B) -> (r2_hidden(A,a_2_0_domain_1(B,C)) <-> (exists D exists E (k1_domain_1(B,C,D,E) = A & m1_subset_1(E,C) & m1_subset_1(D,B)))))) # label(fraenkel_a_2_0_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1917 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> ((all E (r2_hidden(E,A) <-> (exists F (m1_subset_1(F,B) & (exists G (m1_subset_1(G,C) & (exists H (m1_subset_1(H,D) & E = k3_mcart_1(F,G,H))))))))) <-> A = k3_zfmisc_1(B,C,D)))))))))) # label(t17_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1918 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) -> (all F (m1_subset_1(F,k4_zfmisc_1(A,B,C,D)) -> (k8_mcart_1(A,B,C,D,E) = k8_mcart_1(A,B,C,D,F) & k9_mcart_1(A,B,C,D,F) = k9_mcart_1(A,B,C,D,E) & k11_mcart_1(A,B,C,D,E) = k11_mcart_1(A,B,C,D,F) & k10_mcart_1(A,B,C,D,E) = k10_mcart_1(A,B,C,D,F) -> F = E))))))))))))) # label(t45_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1919 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(B)) & -v1_xboole_0(B) -> (r2_hidden(A,a_2_2_domain_1(B,C)) <-> (exists D (m1_subset_1(D,B) & -r2_hidden(D,C) & A = D))))) # label(fraenkel_a_2_2_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1920 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,k3_zfmisc_1(A,B,C)) -> (all E (m1_subset_1(E,k3_zfmisc_1(A,B,C)) -> (k5_mcart_1(A,B,C,D) = k5_mcart_1(A,B,C,E) & k7_mcart_1(A,B,C,E) = k7_mcart_1(A,B,C,D) & k6_mcart_1(A,B,C,D) = k6_mcart_1(A,B,C,E) -> E = D))))))))))) # label(t28_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1921 (all A all B all C all D (m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) & -v1_xboole_0(A) -> k8_domain_1(A,B,C,D) = k1_enumset1(B,C,D))) # label(redefinition_k8_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1922 (all A all B all C all D (-v1_xboole_0(A) & m1_subset_1(C,A) & m1_subset_1(D,A) & m1_subset_1(B,A) -> m1_subset_1(k8_domain_1(A,B,C,D),k1_zfmisc_1(A)))) # label(dt_k8_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1923 $T # label(t22_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1924 (all A all B all C all D (-v1_xboole_0(B) & -v1_xboole_0(C) & m1_subset_1(D,k2_zfmisc_1(k2_zfmisc_1(A,B),C)) & -v1_xboole_0(A) -> k18_mcart_1(D) = k15_domain_1(A,B,C,D))) # label(redefinition_k15_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1925 $T # label(t14_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1926 (all A all B all C all D all E all F (-v1_xboole_0(A) & -v1_xboole_0(B) & -v1_xboole_0(C) & m1_subset_1(D,A) & m1_subset_1(E,B) & m1_subset_1(F,C) -> k4_domain_1(A,B,C,D,E,F) = k3_mcart_1(D,E,F))) # label(redefinition_k4_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1927 $T # label(t8_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1928 (all A (-v1_xboole_0(A) -> a_1_0_domain_1(A) = A)) # label(t48_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1929 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> k4_subset_1(A,B,C) = a_3_2_domain_1(A,B,C))))))) # label(t59_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1930 (all A all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (-v1_xboole_0(E) -> (all F (m1_subset_1(F,k4_zfmisc_1(B,C,D,E)) -> (A = k10_mcart_1(B,C,D,E,F) <-> (all G (m1_subset_1(G,B) -> (all H (m1_subset_1(H,C) -> (all I (m1_subset_1(I,D) -> (all J (m1_subset_1(J,E) -> (k5_domain_1(B,C,D,E,G,H,I,J) = F -> I = A)))))))))))))))))))) # label(t42_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1931 (all A all B all C all D (-v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(B)) & m1_subset_1(D,k1_zfmisc_1(B)) -> (r2_hidden(A,a_3_1_domain_1(B,C,D)) <-> (exists E (m1_subset_1(E,B) & A = E & r2_hidden(E,C) & r2_hidden(E,D)))))) # label(fraenkel_a_3_1_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1932 (all A (r2_hidden(A,a_0_5_domain_1) <-> (exists B (m1_subset_1(B,f1_s10_domain_1) & p2_s10_domain_1(B) & A = B)))) # label(fraenkel_a_0_5_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1933 (all A all B all C all D all E all F all G all H all I (-v1_xboole_0(A) & m1_subset_1(C,A) & m1_subset_1(E,A) & m1_subset_1(F,A) & m1_subset_1(G,A) & m1_subset_1(H,A) & m1_subset_1(I,A) & m1_subset_1(D,A) & m1_subset_1(B,A) -> m1_subset_1(k13_domain_1(A,B,C,D,E,F,G,H,I),k1_zfmisc_1(A)))) # label(dt_k13_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1934 (all A all B all C all D (m1_subset_1(D,k1_zfmisc_1(B)) & m1_subset_1(C,k1_zfmisc_1(B)) & -v1_xboole_0(B) -> ((exists E ((r2_hidden(E,C) | r2_hidden(E,D)) & E = A & m1_subset_1(E,B))) <-> r2_hidden(A,a_3_2_domain_1(B,C,D))))) # label(fraenkel_a_3_2_domain_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1935 $T # label(t3_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1936 (all A (-v1_xboole_0(A) -> (all B (v1_funct_2(B,A,A) & m2_relset_1(B,A,A) & v1_funct_1(B) -> (all C (v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> ((all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> k2_binop_1(A,A,A,C,k8_funct_2(A,A,B,D),k8_funct_2(A,A,B,E)) = k8_funct_2(A,A,B,k2_binop_1(A,A,A,C,D,E)))))) <-> r7_binop_1(A,B,C)))))))) # label(d20_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1937 (all A (m1_relset_1(A,k2_zfmisc_1(k1_xboole_0,k1_xboole_0),k1_xboole_0) -> (v1_funct_2(A,k2_zfmisc_1(k1_xboole_0,k1_xboole_0),k1_xboole_0) & v1_funct_1(A) -> v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k1_xboole_0,k1_xboole_0),k1_xboole_0) & v1_binop_1(A,k1_xboole_0) & v2_binop_1(A,k1_xboole_0) & v1_xboole_0(A)))) # label(cc1_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1938 (all A (-v1_xboole_0(A) -> (all B (m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) -> (v1_binop_1(C,A) -> (r6_binop_1(A,C,B) <-> r5_binop_1(A,C,B))))))))) # label(t27_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1939 $T # label(t9_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1940 (all A all B (m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (v3_binop_1(B,A) <-> (all C (m1_subset_1(C,A) -> k1_binop_1(B,C,C) = C))))) # label(d4_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1941 (all A all B (m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C (m1_subset_1(C,A) -> (r3_binop_1(A,C,B) <-> (all D (m1_subset_1(D,A) -> D = k1_binop_1(B,D,C) & D = k1_binop_1(B,C,D)))))))) # label(t11_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1942 (all A (-v1_xboole_0(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) -> (all C (m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> (r5_binop_1(A,B,C) <-> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,A) -> k2_binop_1(A,A,A,B,k2_binop_1(A,A,A,C,D,E),F) = k2_binop_1(A,A,A,C,k2_binop_1(A,A,A,B,D,F),k2_binop_1(A,A,A,B,E,F))))))))))))))) # label(d19_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1943 $T # label(t7_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1944 $T # label(t8_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1945 (all A all B (v1_funct_2(B,k2_zfmisc_1(A,A),A) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (v2_binop_1(B,A) <-> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> k1_binop_1(B,C,k1_binop_1(B,D,E)) = k1_binop_1(B,k1_binop_1(B,C,D),E)))))))))) # label(d3_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1946 (all A all B (v1_funct_1(B) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) -> (r4_binop_1(A,B,C) <-> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,A) -> k1_binop_1(C,k1_binop_1(B,D,E),k1_binop_1(B,D,F)) = k1_binop_1(B,D,k1_binop_1(C,E,F))))))))))))) # label(d9_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1947 (all A (-v1_xboole_0(A) -> (all B (v1_funct_2(B,k2_zfmisc_1(A,A),A) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (v1_binop_1(B,A) <-> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> k2_binop_1(A,A,A,B,D,C) = k2_binop_1(A,A,A,B,C,D)))))))))) # label(d13_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1948 $T # label(t10_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1949 (all A (-v1_xboole_0(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m2_relset_1(B,k2_zfmisc_1(A,A),A) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) -> (v1_binop_1(C,A) -> (r6_binop_1(A,C,B) <-> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,A) -> k2_binop_1(A,A,A,C,k2_binop_1(A,A,A,B,D,E),F) = k2_binop_1(A,A,A,B,k2_binop_1(A,A,A,C,D,F),k2_binop_1(A,A,A,C,E,F)))))))))))))))) # label(t25_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1950 $T # label(t20_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1951 (all A (-v1_xboole_0(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) -> ((all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,A) -> k2_binop_1(A,A,A,C,k2_binop_1(A,A,A,B,D,E),k2_binop_1(A,A,A,B,D,F)) = k2_binop_1(A,A,A,B,D,k2_binop_1(A,A,A,C,E,F)))))))) <-> r4_binop_1(A,B,C)))))))) # label(d18_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1952 (all A all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m2_relset_1(B,k2_zfmisc_1(A,A),A) -> ((all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> k1_binop_1(B,C,D) = k1_binop_1(B,D,C))))) <-> v1_binop_1(B,A)))) # label(d2_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1953 (all A all B (v1_funct_1(B) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) -> (all C (m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> (r4_binop_1(A,B,C) & r5_binop_1(A,B,C) <-> r6_binop_1(A,B,C)))))) # label(d11_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1954 (all A all B all C all D all E all F (-v1_xboole_0(A) & -v1_xboole_0(B) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(F,B) & m1_subset_1(E,A) & m1_relset_1(D,k2_zfmisc_1(A,B),C) & v1_funct_1(D) -> k1_binop_1(D,E,F) = k2_binop_1(A,B,C,D,E,F))) # label(redefinition_k2_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1955 (all A all B (m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C (m1_subset_1(C,A) -> (v1_binop_1(B,A) -> (r3_binop_1(A,C,B) <-> (all D (m1_subset_1(D,A) -> D = k1_binop_1(B,D,C))))))))) # label(t13_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1956 (all A all B (v1_funct_2(B,k2_zfmisc_1(A,A),A) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C (m1_subset_1(C,A) -> (v1_binop_1(B,A) -> (r3_binop_1(A,C,B) <-> r2_binop_1(A,C,B))))))) # label(t15_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1957 (all A all B (m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C (m1_subset_1(C,A) -> (v1_binop_1(B,A) -> (r1_binop_1(A,C,B) <-> r2_binop_1(A,C,B))))))) # label(t16_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1958 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) -> ((all D (m1_subset_1(D,A) -> D = k2_binop_1(A,A,A,C,B,D))) <-> r1_binop_1(A,B,C)))))))) # label(d16_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1959 $T # label(t5_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1960 $T # label(t6_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1961 (all A (-v1_xboole_0(A) -> (all B (m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C (m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> (v1_binop_1(C,A) -> (r6_binop_1(A,C,B) <-> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,A) -> k2_binop_1(A,A,A,C,D,k2_binop_1(A,A,A,B,E,F)) = k2_binop_1(A,A,A,B,k2_binop_1(A,A,A,C,D,E),k2_binop_1(A,A,A,C,D,F)))))))))))))))) # label(t24_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1962 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C k1_binop_1(A,B,C) = k1_funct_1(A,k4_tarski(B,C))))) # label(d1_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1963 (all A all B (v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> m1_subset_1(k3_binop_1(A,B),A))) # label(dt_k3_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1964 (all A (-v1_xboole_0(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m2_relset_1(B,k2_zfmisc_1(A,A),A) -> (v3_binop_1(B,A) <-> (all C (m1_subset_1(C,A) -> C = k2_binop_1(A,A,A,B,C,C)))))))) # label(d15_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1965 (all A all B (m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C (m1_subset_1(C,A) -> (v1_binop_1(B,A) -> (r3_binop_1(A,C,B) <-> r1_binop_1(A,C,B))))))) # label(t14_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1966 (all A all B (m1_subset_1(B,A) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) -> (r3_binop_1(A,B,C) <-> r2_binop_1(A,B,C) & r1_binop_1(A,B,C)))))) # label(d7_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1967 (all A all B (m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> ((exists C (r3_binop_1(A,C,B) & m1_subset_1(C,A))) -> (all C (m1_subset_1(C,A) -> (k3_binop_1(A,B) = C <-> r3_binop_1(A,C,B))))))) # label(d8_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1968 $T # label(t4_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1969 (exists A (v1_funct_2(A,k2_zfmisc_1(f1_s2_binop_1,f1_s2_binop_1),f1_s2_binop_1) & (all B (m1_subset_1(B,f1_s2_binop_1) -> (all C (m1_subset_1(C,f1_s2_binop_1) -> k2_binop_1(f1_s2_binop_1,f1_s2_binop_1,f1_s2_binop_1,A,B,C) = f2_s2_binop_1(B,C))))) & m2_relset_1(A,k2_zfmisc_1(f1_s2_binop_1,f1_s2_binop_1),f1_s2_binop_1) & v1_funct_1(A))) # label(s2_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1970 (all A all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m2_relset_1(B,k2_zfmisc_1(A,A),A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (r2_binop_1(A,D,B) & r1_binop_1(A,C,B) -> D = C))))))) # label(t17_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1971 (all A all B (m1_subset_1(B,A) -> (all C (m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> ((all D (m1_subset_1(D,A) -> k1_binop_1(C,D,B) = D)) <-> r2_binop_1(A,B,C)))))) # label(d6_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1972 (all A all B (v1_funct_1(B) & m2_relset_1(B,A,A) & v1_funct_2(B,A,A) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) -> ((all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> k1_funct_1(B,k1_binop_1(C,D,E)) = k1_binop_1(C,k1_funct_1(B,D),k1_funct_1(B,E)))))) <-> r7_binop_1(A,B,C)))))) # label(d12_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1973 (all A all B all C all D all E all F (v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(F,B) & m1_subset_1(E,A) & m1_relset_1(D,k2_zfmisc_1(A,B),C) & -v1_xboole_0(B) & -v1_xboole_0(A) -> m1_subset_1(k2_binop_1(A,B,C,D,E,F),C))) # label(dt_k2_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1974 (all A all B (m1_subset_1(B,A) -> (all C (m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> (r1_binop_1(A,B,C) <-> (all D (m1_subset_1(D,A) -> k1_binop_1(C,B,D) = D))))))) # label(d5_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1975 (all A (-v1_xboole_0(A) -> (all B (m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C (v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> (v1_binop_1(C,A) -> (r5_binop_1(A,C,B) <-> r4_binop_1(A,C,B))))))))) # label(t28_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1976 $T # label(t1_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1977 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,k2_zfmisc_1(A,B),C) & v1_funct_2(D,k2_zfmisc_1(A,B),C) -> (all E (v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),C) & m2_relset_1(E,k2_zfmisc_1(A,B),C) -> ((all F (m1_subset_1(F,A) -> (all G (m1_subset_1(G,B) -> k2_binop_1(A,B,C,E,F,G) = k2_binop_1(A,B,C,D,F,G))))) -> E = D))))))))))) # label(t2_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1978 (all A (-v1_xboole_0(A) -> (all B (v1_funct_2(B,k2_zfmisc_1(A,A),A) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) -> (v1_binop_1(C,A) -> (r6_binop_1(A,C,B) <-> r4_binop_1(A,C,B))))))))) # label(t26_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1979 (all A (m1_subset_1(A,f1_s1_binop_1) -> (all B (m1_subset_1(B,f1_s1_binop_1) -> (exists C (m1_subset_1(C,f1_s1_binop_1) & p1_s1_binop_1(A,B,C))))))) -> (exists A (v1_funct_2(A,k2_zfmisc_1(f1_s1_binop_1,f1_s1_binop_1),f1_s1_binop_1) & m2_relset_1(A,k2_zfmisc_1(f1_s1_binop_1,f1_s1_binop_1),f1_s1_binop_1) & (all B (m1_subset_1(B,f1_s1_binop_1) -> (all C (m1_subset_1(C,f1_s1_binop_1) -> p1_s1_binop_1(B,C,k2_binop_1(f1_s1_binop_1,f1_s1_binop_1,f1_s1_binop_1,A,B,C)))))) & v1_funct_1(A))) # label(s1_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1980 $T # label(dt_k1_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1981 (all A all B (v1_funct_1(B) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (r3_binop_1(A,C,B) & r3_binop_1(A,D,B) -> C = D))))))) # label(t18_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1982 $T # label(t21_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1983 $T # label(t22_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1984 (all A all B (v1_funct_2(B,k2_zfmisc_1(A,A),A) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) -> (r5_binop_1(A,B,C) <-> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,A) -> k1_binop_1(B,k1_binop_1(C,D,E),F) = k1_binop_1(C,k1_binop_1(B,D,F),k1_binop_1(B,E,F))))))))))))) # label(d10_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1985 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) -> ((all D (m1_subset_1(D,A) -> D = k2_binop_1(A,A,A,C,D,B))) <-> r2_binop_1(A,B,C)))))))) # label(d17_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1986 (all A all B (v1_funct_2(B,k2_zfmisc_1(A,A),A) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C (m1_subset_1(C,A) -> (v1_binop_1(B,A) -> (r3_binop_1(A,C,B) <-> (all D (m1_subset_1(D,A) -> D = k1_binop_1(B,C,D))))))))) # label(t12_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1987 (all A (-v1_xboole_0(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) -> ((all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> k2_binop_1(A,A,A,B,C,k2_binop_1(A,A,A,B,D,E)) = k2_binop_1(A,A,A,B,k2_binop_1(A,A,A,B,C,D),E))))))) <-> v2_binop_1(B,A)))))) # label(d14_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1988 (all A all B (v1_funct_1(B) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) -> (all C (m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> (r6_binop_1(A,B,C) <-> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,A) -> k1_binop_1(C,k1_binop_1(B,D,E),k1_binop_1(B,D,F)) = k1_binop_1(B,D,k1_binop_1(C,E,F)) & k1_binop_1(C,k1_binop_1(B,D,F),k1_binop_1(B,E,F)) = k1_binop_1(B,k1_binop_1(C,D,E),F)))))))))))) # label(t23_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1989 $T # label(t19_binop_1) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1990 (all A (v3_ordinal1(A) -> (all B all C (r2_hidden(A,B) & r1_tarski(B,C) -> r1_ordinal1(k6_ordinal2(C),k6_ordinal2(B)))))) # label(t24_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.27/5.44	1991 (all A (v3_ordinal1(A) -> (p1_s1_ordinal2(A) -> p1_s1_ordinal2(k1_ordinal1(A))))) & (all A (v3_ordinal1(A) -> (v4_ordinal1(A) & (all B (v3_ordinal1(B) -> (r2_hidden(B,A) -> p1_s1_ordinal2(B)))) -> A = k1_xboole_0 | p1_s1_ordinal2(A)))) & p1_s1_ordinal2(k1_xboole_0) -> (all A (v3_ordinal1(A) -> p1_s1_ordinal2(A))) # label(s1_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.60	1992 (all A r1_tarski(k3_ordinal2(A),A)) # label(t13_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.60	1993 $T # label(t38_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.60	1994 (all A (v3_ordinal1(A) -> (all B (B = f1_s8_ordinal2(A) <-> (exists C (v1_funct_1(C) & k1_relat_1(C) = k1_ordinal1(A) & (all D (v3_ordinal1(D) -> (r2_hidden(k1_ordinal1(D),k1_ordinal1(A)) -> k1_funct_1(C,k1_ordinal1(D)) = f3_s8_ordinal2(D,k1_funct_1(C,D))))) & (all D (v3_ordinal1(D) -> (v4_ordinal1(D) & r2_hidden(D,k1_ordinal1(A)) -> k1_funct_1(C,D) = f4_s8_ordinal2(D,k2_ordinal1(C,D)) | k1_xboole_0 = D))) & f2_s8_ordinal2 = k1_funct_1(C,k1_xboole_0) & B = k1_ordinal2(C) & v5_ordinal1(C) & v1_relat_1(C))))))) -> f2_s8_ordinal2 = f1_s8_ordinal2(k1_xboole_0) # label(s8_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.60	1995 (all A (v3_ordinal1(A) -> (all B ((exists C (v1_relat_1(C) & v1_funct_1(C) & v5_ordinal1(C) & k1_ordinal2(C) = B & k1_ordinal1(A) = k1_relat_1(C) & (all D (v3_ordinal1(D) -> (r2_hidden(k1_ordinal1(D),k1_ordinal1(A)) -> f5_s6_ordinal2(D,k1_funct_1(C,D)) = k1_funct_1(C,k1_ordinal1(D))))) & (all D (v3_ordinal1(D) -> (v4_ordinal1(D) & r2_hidden(D,k1_ordinal1(A)) -> k1_xboole_0 = D | k1_funct_1(C,D) = f6_s6_ordinal2(D,k2_ordinal1(C,D))))) & f4_s6_ordinal2 = k1_funct_1(C,k1_xboole_0))) <-> f2_s6_ordinal2(A) = B)))) & k1_relat_1(f1_s6_ordinal2) = f3_s6_ordinal2 & (all A (v3_ordinal1(A) -> (r2_hidden(k1_ordinal1(A),f3_s6_ordinal2) -> k1_funct_1(f1_s6_ordinal2,k1_ordinal1(A)) = f5_s6_ordinal2(A,k1_funct_1(f1_s6_ordinal2,A))))) & (all A (v3_ordinal1(A) -> (v4_ordinal1(A) & r2_hidden(A,f3_s6_ordinal2) -> k1_funct_1(f1_s6_ordinal2,A) = f6_s6_ordinal2(A,k2_ordinal1(f1_s6_ordinal2,A)) | k1_xboole_0 = A))) & (r2_hidden(k1_xboole_0,f3_s6_ordinal2) -> k1_funct_1(f1_s6_ordinal2,k1_xboole_0) = f4_s6_ordinal2) -> (all A (v3_ordinal1(A) -> (r2_hidden(A,k1_relat_1(f1_s6_ordinal2)) -> k1_funct_1(f1_s6_ordinal2,A) = f2_s6_ordinal2(A)))) # label(s6_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.60	1996 (all A (v3_ordinal1(A) -> (all B -((all C (v3_ordinal1(C) -> -(r1_ordinal1(A,C) & r2_hidden(C,B)))) & r2_hidden(A,k7_ordinal2(B)))))) # label(t29_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.60	1997 (all A (v1_relat_1(A) & v5_ordinal1(A) & v1_ordinal2(A) & v1_funct_1(A) -> ((all B (v3_ordinal1(B) -> (all C (v3_ordinal1(C) -> (r2_hidden(C,k1_relat_1(A)) & r2_hidden(B,C) -> r2_hidden(k1_funct_1(A,B),k1_funct_1(A,C))))))) <-> v2_ordinal2(A)))) # label(d16_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.60	1998 (all A (v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) -> (all B (v3_ordinal1(B) -> (k10_ordinal2(A) = B <-> (exists C (v1_funct_1(C) & v5_ordinal1(C) & k9_ordinal2(C) = B & k1_relat_1(A) = k1_relat_1(C) & (all D (v3_ordinal1(D) -> (r2_hidden(D,k1_relat_1(A)) -> k1_funct_1(C,D) = k7_ordinal2(k2_relat_1(k7_relat_1(A,k4_xboole_0(k1_relat_1(A),D))))))) & v1_ordinal2(C) & v1_relat_1(C)))))))) # label(d11_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.60	1999 (all A (v3_ordinal1(A) -> (all B ((all C (v3_ordinal1(C) -> (r2_hidden(C,B) -> r2_hidden(C,A)))) -> r1_ordinal1(k7_ordinal2(B),A))))) # label(t28_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.60	2000 (exists A (v1_relat_1(A) & v1_ordinal2(A) & v5_ordinal1(A) & v1_funct_1(A))) # label(rc2_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.60	2001 $T # label(t40_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.60	2002 $T # label(t37_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.60	2003 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (f1_s14_ordinal2(A) = B <-> (exists C (v5_ordinal1(C) & v1_ordinal2(C) & B = k1_ordinal2(C) & k1_ordinal1(A) = k1_relat_1(C) & (all D (v3_ordinal1(D) -> (r2_hidden(k1_ordinal1(D),k1_ordinal1(A)) -> f3_s14_ordinal2(D,k1_funct_1(C,D)) = k1_funct_1(C,k1_ordinal1(D))))) & (all D (v3_ordinal1(D) -> (v4_ordinal1(D) & r2_hidden(D,k1_ordinal1(A)) -> k1_xboole_0 = D | f4_s14_ordinal2(D,k2_ordinal1(C,D)) = k1_funct_1(C,D)))) & f2_s14_ordinal2 = k1_funct_1(C,k1_xboole_0) & v1_funct_1(C) & v1_relat_1(C)))))))) -> f1_s14_ordinal2(k1_xboole_0) = f2_s14_ordinal2 # label(s14_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.60	2004 (exists A (v1_funct_1(A) & v1_ordinal2(A) & k1_relat_1(A) = f1_s3_ordinal2 & (all B (v3_ordinal1(B) -> (r2_hidden(B,f1_s3_ordinal2) -> k1_funct_1(A,B) = f2_s3_ordinal2(B)))) & v5_ordinal1(A) & v1_relat_1(A))) # label(s3_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.60	2005 (all A all B (v3_ordinal1(A) & v3_ordinal1(B) -> v3_ordinal1(k14_ordinal2(A,B)))) # label(dt_k14_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.60	2006 (all A (v1_funct_1(A) & v5_ordinal1(A) & v1_relat_1(A) -> v3_ordinal1(k9_ordinal2(A)))) # label(dt_k9_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.60	2007 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (v4_ordinal1(A) -> (all C (v1_funct_1(C) & v5_ordinal1(C) & v1_ordinal2(C) & v1_relat_1(C) -> ((all D (v3_ordinal1(D) -> (r2_hidden(D,A) -> k14_ordinal2(B,D) = k1_funct_1(C,D)))) & k1_relat_1(C) = A -> k8_ordinal2(C) = k14_ordinal2(B,A)))) | k1_xboole_0 = A))))) # label(t46_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.60	2008 (all A (v5_ordinal1(A) & v1_funct_1(A) & v1_relat_1(A) -> v3_ordinal1(k8_ordinal2(A)))) # label(dt_k8_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.60	2009 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v1_ordinal2(A) <-> (exists B (r1_tarski(k2_relat_1(A),B) & v3_ordinal1(B)))))) # label(d8_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.60	2010 (all A (v3_ordinal1(A) -> (all B (r2_hidden(A,B) -> r1_ordinal1(k6_ordinal2(B),A))))) # label(t22_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2011 (all A (v5_ordinal1(A) & v1_ordinal2(A) & v1_funct_1(A) & v1_relat_1(A) -> v3_ordinal1(k12_ordinal2(A)))) # label(dt_k12_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2012 $T # label(dt_k2_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2013 (all A r1_tarski(k3_ordinal2(A),k2_ordinal2(A))) # label(t15_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2014 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> k14_ordinal2(A,k1_ordinal1(B)) = k1_ordinal1(k14_ordinal2(A,B)))))) # label(t45_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2015 $T # label(t39_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2016 (all A (v3_ordinal1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v1_ordinal2(B) -> k12_ordinal2(k2_ordinal1(B,A)) = k13_ordinal2(A,B))))) # label(d15_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2017 (all A all B (r1_tarski(A,B) -> r1_ordinal1(k7_ordinal2(A),k7_ordinal2(B)))) # label(t30_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2018 (all A (v3_ordinal1(A) -> r1_ordinal1(k3_tarski(A),A))) # label(t5_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2019 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r1_ordinal1(A,B) <-> r1_ordinal1(k1_ordinal1(A),k1_ordinal1(B))))))) # label(t1_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2020 (all A (v5_ordinal1(A) & v1_funct_1(A) & v1_relat_1(A) -> v3_ordinal1(k11_ordinal2(A)))) # label(dt_k11_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2021 (all A (v3_ordinal1(A) -> (r2_hidden(k1_xboole_0,A) & v4_ordinal1(A) -> r1_ordinal1(k5_ordinal2,A)))) # label(t19_ordinal2_AndRHS_AndLHS) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2022 f2_s10_ordinal2 != k1_xboole_0 & (all A (v3_ordinal1(A) -> (r2_hidden(A,f2_s10_ordinal2) -> f3_s10_ordinal2(A) = k1_funct_1(f1_s10_ordinal2,A)))) & k1_relat_1(f1_s10_ordinal2) = f2_s10_ordinal2 & v4_ordinal1(f2_s10_ordinal2) & (all A (v3_ordinal1(A) -> (all B ((exists C (v1_relat_1(C) & v1_funct_1(C) & B = k1_ordinal2(C) & (all D (v3_ordinal1(D) -> (r2_hidden(k1_ordinal1(D),k1_ordinal1(A)) -> k1_funct_1(C,k1_ordinal1(D)) = f5_s10_ordinal2(D,k1_funct_1(C,D))))) & (all D (v3_ordinal1(D) -> (r2_hidden(D,k1_ordinal1(A)) & v4_ordinal1(D) -> k1_xboole_0 = D | f6_s10_ordinal2(D,k2_ordinal1(C,D)) = k1_funct_1(C,D)))) & k1_funct_1(C,k1_xboole_0) = f4_s10_ordinal2 & k1_relat_1(C) = k1_ordinal1(A) & v5_ordinal1(C))) <-> B = f3_s10_ordinal2(A))))) -> f6_s10_ordinal2(f2_s10_ordinal2,f1_s10_ordinal2) = f3_s10_ordinal2(f2_s10_ordinal2) # label(s10_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2023 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (f3_s16_ordinal2(A) = B <-> (exists C (v1_funct_1(C) & v5_ordinal1(C) & v1_ordinal2(C) & B = k1_ordinal2(C) & k1_funct_1(C,k1_xboole_0) = f4_s16_ordinal2 & (all D (v3_ordinal1(D) -> (r2_hidden(k1_ordinal1(D),k1_ordinal1(A)) -> k1_funct_1(C,k1_ordinal1(D)) = f5_s16_ordinal2(D,k1_funct_1(C,D))))) & (all D (v3_ordinal1(D) -> (v4_ordinal1(D) & r2_hidden(D,k1_ordinal1(A)) -> f6_s16_ordinal2(D,k2_ordinal1(C,D)) = k1_funct_1(C,D) | k1_xboole_0 = D))) & k1_ordinal1(A) = k1_relat_1(C) & v1_relat_1(C)))))))) & f2_s16_ordinal2 != k1_xboole_0 & k1_relat_1(f1_s16_ordinal2) = f2_s16_ordinal2 & (all A (v3_ordinal1(A) -> (r2_hidden(A,f2_s16_ordinal2) -> k1_funct_1(f1_s16_ordinal2,A) = f3_s16_ordinal2(A)))) & v4_ordinal1(f2_s16_ordinal2) -> f3_s16_ordinal2(f2_s16_ordinal2) = f6_s16_ordinal2(f2_s16_ordinal2,f1_s16_ordinal2) # label(s16_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2024 (all A (v3_ordinal1(A) -> (all B (r2_hidden(A,B) -> r2_hidden(k6_ordinal2(B),B))))) # label(t25_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2025 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (all C (v3_ordinal1(C) -> ((exists D (v1_relat_1(D) & v1_funct_1(D) & k1_ordinal1(B) = k1_relat_1(D) & k4_ordinal2 = k1_funct_1(D,k1_xboole_0) & (all E (v3_ordinal1(E) -> (r2_hidden(k1_ordinal1(E),k1_ordinal1(B)) -> k1_funct_1(D,k1_ordinal1(E)) = k15_ordinal2(A,k1_funct_1(D,E))))) & (all E (v3_ordinal1(E) -> (r2_hidden(E,k1_ordinal1(B)) & v4_ordinal1(E) -> k1_xboole_0 = E | k12_ordinal2(k2_ordinal1(D,E)) = k1_funct_1(D,E)))) & k1_ordinal2(D) = C & v1_ordinal2(D) & v5_ordinal1(D))) <-> C = k16_ordinal2(A,B)))))))) # label(d20_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2026 (exists A (v1_funct_1(A) & v5_ordinal1(A) & k1_relat_1(A) = f1_s2_ordinal2 & (all B (v3_ordinal1(B) -> (r2_hidden(B,f1_s2_ordinal2) -> k1_funct_1(A,B) = f2_s2_ordinal2(B)))) & v1_relat_1(A))) # label(s2_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2027 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> k14_ordinal2(k15_ordinal2(A,B),B) = k15_ordinal2(k1_ordinal1(A),B))))) # label(t53_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2028 (all A (v3_ordinal1(A) -> k16_ordinal2(A,k4_ordinal2) = A & k16_ordinal2(k4_ordinal2,A) = k4_ordinal2)) # label(t63_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2029 (all A (v3_ordinal1(A) -> (all B ((all C (v3_ordinal1(C) -> (r2_hidden(C,B) -> r1_ordinal1(A,C)))) -> r1_ordinal1(A,k6_ordinal2(B)) | k2_ordinal2(B) = k1_xboole_0)))) # label(t23_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2030 (all A (v3_ordinal1(A) -> k3_tarski(k1_ordinal1(A)) = A)) # label(t2_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2031 $T # label(t20_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2032 (all A (v1_funct_1(A) & v5_ordinal1(A) & v1_relat_1(A) -> k7_ordinal2(k2_relat_1(A)) = k8_ordinal2(A) & k9_ordinal2(A) = k6_ordinal2(k2_relat_1(A)))) # label(t35_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2033 (all A (v3_ordinal1(A) -> (exists B (r2_hidden(A,B) & v4_ordinal1(B) & v3_ordinal1(B))))) # label(t16_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2034 $T # label(t12_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2035 (all A (A = k5_ordinal2 <-> r2_hidden(k1_xboole_0,A) & (all B (v3_ordinal1(B) -> (v4_ordinal1(B) & r2_hidden(k1_xboole_0,B) -> r1_tarski(A,B)))) & v3_ordinal1(A) & v4_ordinal1(A))) # label(d5_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2036 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (all C (v3_ordinal1(C) -> (r1_ordinal1(A,B) -> r1_ordinal1(k15_ordinal2(A,C),k15_ordinal2(B,C))))))))) # label(t58_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2037 $T # label(t33_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2038 (all A (v3_ordinal1(A) -> (all B (r2_hidden(A,B) -> r2_hidden(A,k7_ordinal2(B)))))) # label(t27_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2039 (all A (v3_ordinal1(A) -> k1_ordinal1(A) = k7_ordinal2(k1_tarski(A)))) # label(t31_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2040 (all A all B (v5_ordinal1(A) & v1_ordinal2(A) & v3_ordinal1(B) & v1_funct_1(A) & v1_relat_1(A) -> v1_ordinal1(k1_funct_1(A,B)) & v2_ordinal1(k1_funct_1(A,B)) & v3_ordinal1(k1_funct_1(A,B)))) # label(fc3_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2041 (all A all B (v3_ordinal1(A) & v1_relat_1(B) & v1_ordinal2(B) & v5_ordinal1(B) & v1_funct_1(B) -> v3_ordinal1(k13_ordinal2(A,B)))) # label(dt_k13_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2042 (all A (v1_funct_1(A) & v5_ordinal1(A) & v1_relat_1(A) -> (all B (v3_ordinal1(B) -> ((exists C (v5_ordinal1(C) & v1_ordinal2(C) & k1_relat_1(C) = k1_relat_1(A) & (all D (v3_ordinal1(D) -> (r2_hidden(D,k1_relat_1(A)) -> k6_ordinal2(k2_relat_1(k7_relat_1(A,k4_xboole_0(k1_relat_1(A),D)))) = k1_funct_1(C,D)))) & k8_ordinal2(C) = B & v1_funct_1(C) & v1_relat_1(C))) <-> B = k11_ordinal2(A)))))) # label(d12_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2043 (all A (v3_ordinal1(A) -> k16_ordinal2(A,k1_xboole_0) = k4_ordinal2)) # label(t60_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2044 (all A (v3_ordinal1(A) -> k2_ordinal2(A) = A)) # label(t10_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2045 $T # label(t6_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2046 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (all C (v3_ordinal1(C) -> (r2_hidden(A,B) -> r2_hidden(k14_ordinal2(C,A),k14_ordinal2(C,B))))))))) # label(t49_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2047 (all A (v3_ordinal1(A) -> (all B (v1_ordinal2(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_relat_1(B) -> (r2_hidden(A,k1_relat_1(B)) -> v3_ordinal1(k1_funct_1(B,A))))))) # label(t34_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2048 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (v4_ordinal1(A) -> (all C (v1_relat_1(C) & v5_ordinal1(C) & v1_ordinal2(C) & v1_funct_1(C) -> (k1_relat_1(C) = A & (all D (v3_ordinal1(D) -> (r2_hidden(D,A) -> k1_funct_1(C,D) = k16_ordinal2(B,D)))) -> k12_ordinal2(C) = k16_ordinal2(B,A)))) | k1_xboole_0 = A))))) # label(t62_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2049 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (all C (v3_ordinal1(C) -> (r2_hidden(B,C) -> A = k1_xboole_0 | r2_hidden(k15_ordinal2(B,A),k15_ordinal2(C,A))))))))) # label(t57_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2050 (all A (v3_ordinal1(A) -> (all B (v1_funct_1(B) & v5_ordinal1(B) & v1_relat_1(B) -> (k1_ordinal1(A) = k1_relat_1(B) -> k1_funct_1(B,A) = k1_ordinal2(B)))))) # label(t7_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2051 (all A (v3_ordinal1(A) -> A = k14_ordinal2(A,k1_xboole_0))) # label(t44_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2052 (all A (v3_ordinal1(A) -> k15_ordinal2(A,k1_xboole_0) = k1_xboole_0)) # label(t55_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2053 $T # label(t8_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2054 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (all C (v3_ordinal1(C) -> (r1_ordinal1(A,B) -> r1_ordinal1(k14_ordinal2(A,C),k14_ordinal2(B,C))))))))) # label(t51_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.39/5.61	2055 (all A (v3_ordinal1(A) -> r1_tarski(k1_ordinal1(A),k1_zfmisc_1(A)))) # label(t3_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.69/5.89	2056 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (v4_ordinal1(A) -> A = k1_xboole_0 | (all C (v1_funct_1(C) & v1_ordinal2(C) & v5_ordinal1(C) & v1_relat_1(C) -> (k1_relat_1(C) = A & (all D (v3_ordinal1(D) -> (r2_hidden(D,A) -> k15_ordinal2(D,B) = k1_funct_1(C,D)))) -> k3_tarski(k8_ordinal2(C)) = k15_ordinal2(A,B))))))))) # label(t54_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.69/5.89	2057 (all A (v3_ordinal1(A) -> k1_xboole_0 = k15_ordinal2(k1_xboole_0,A))) # label(t52_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.69/5.89	2058 (all A (v3_ordinal1(A) -> (all B (m1_ordinal1(B,A) -> v1_ordinal2(B))))) # label(cc1_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.69/5.89	2059 (all A all B (v3_ordinal1(B) -> v1_funct_1(k2_funcop_1(A,B)) & v1_ordinal2(k2_funcop_1(A,B)) & v1_relat_1(k2_funcop_1(A,B)))) # label(fc4_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.69/5.89	2060 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (B = f4_s15_ordinal2(A) <-> (exists C (v1_relat_1(C) & v5_ordinal1(C) & v1_ordinal2(C) & f1_s15_ordinal2 = k1_funct_1(C,k1_xboole_0) & (all D (v3_ordinal1(D) -> (r2_hidden(D,k1_ordinal1(A)) & v4_ordinal1(D) -> D = k1_xboole_0 | f3_s15_ordinal2(D,k2_ordinal1(C,D)) = k1_funct_1(C,D)))) & (all D (v3_ordinal1(D) -> (r2_hidden(k1_ordinal1(D),k1_ordinal1(A)) -> f2_s15_ordinal2(D,k1_funct_1(C,D)) = k1_funct_1(C,k1_ordinal1(D))))) & k1_ordinal1(A) = k1_relat_1(C) & k1_ordinal2(C) = B & v1_funct_1(C)))))))) -> (all A (v3_ordinal1(A) -> f2_s15_ordinal2(A,f4_s15_ordinal2(A)) = f4_s15_ordinal2(k1_ordinal1(A)))) # label(s15_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.69/5.89	2061 (all A ((all B (r2_hidden(B,A) -> v3_ordinal1(B))) -> v3_ordinal1(k1_setfam_1(A)))) # label(t17_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.69/5.89	2062 (all A (v3_ordinal1(A) -> (exists B ((exists C (v3_ordinal1(C) & v4_ordinal1(B) & v4_ordinal2(C) & k14_ordinal2(B,C) = A)) & v3_ordinal1(B))))) # label(t65_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.69/5.89	2063 (exists A (v1_relat_1(A) & v5_ordinal1(A) & (r2_hidden(k1_xboole_0,f1_s11_ordinal2) -> f2_s11_ordinal2 = k1_funct_1(A,k1_xboole_0)) & (all B (v3_ordinal1(B) -> (v4_ordinal1(B) & r2_hidden(B,f1_s11_ordinal2) -> k1_xboole_0 = B | k1_funct_1(A,B) = f4_s11_ordinal2(B,k2_ordinal1(A,B))))) & (all B (v3_ordinal1(B) -> (r2_hidden(k1_ordinal1(B),f1_s11_ordinal2) -> f3_s11_ordinal2(B,k1_funct_1(A,B)) = k1_funct_1(A,k1_ordinal1(B))))) & f1_s11_ordinal2 = k1_relat_1(A) & v1_ordinal2(A) & v1_funct_1(A))) # label(s11_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.69/5.89	2064 (all A (v3_ordinal1(A) -> k14_ordinal2(A,k4_ordinal2) = k1_ordinal1(A))) # label(t48_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.69/5.89	2065 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (B = f2_s12_ordinal2(A) <-> (exists C (v1_relat_1(C) & v1_funct_1(C) & v5_ordinal1(C) & v1_ordinal2(C) & k1_relat_1(C) = k1_ordinal1(A) & (all D (v3_ordinal1(D) -> (r2_hidden(k1_ordinal1(D),k1_ordinal1(A)) -> f5_s12_ordinal2(D,k1_funct_1(C,D)) = k1_funct_1(C,k1_ordinal1(D))))) & (all D (v3_ordinal1(D) -> (v4_ordinal1(D) & r2_hidden(D,k1_ordinal1(A)) -> k1_xboole_0 = D | f6_s12_ordinal2(D,k2_ordinal1(C,D)) = k1_funct_1(C,D)))) & k1_funct_1(C,k1_xboole_0) = f4_s12_ordinal2 & B = k1_ordinal2(C)))))))) & (r2_hidden(k1_xboole_0,f3_s12_ordinal2) -> k1_funct_1(f1_s12_ordinal2,k1_xboole_0) = f4_s12_ordinal2) & (all A (v3_ordinal1(A) -> (r2_hidden(k1_ordinal1(A),f3_s12_ordinal2) -> f5_s12_ordinal2(A,k1_funct_1(f1_s12_ordinal2,A)) = k1_funct_1(f1_s12_ordinal2,k1_ordinal1(A))))) & (all A (v3_ordinal1(A) -> (v4_ordinal1(A) & r2_hidden(A,f3_s12_ordinal2) -> A = k1_xboole_0 | f6_s12_ordinal2(A,k2_ordinal1(f1_s12_ordinal2,A)) = k1_funct_1(f1_s12_ordinal2,A)))) & f3_s12_ordinal2 = k1_relat_1(f1_s12_ordinal2) -> (all A (v3_ordinal1(A) -> (r2_hidden(A,k1_relat_1(f1_s12_ordinal2)) -> f2_s12_ordinal2(A) = k1_funct_1(f1_s12_ordinal2,A)))) # label(s12_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.73/5.92	2066 (all A r1_tarski(k2_ordinal2(A),A)) # label(t9_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.73/5.92	2067 (all A (v3_ordinal1(A) -> A = k15_ordinal2(k4_ordinal2,A) & k15_ordinal2(A,k4_ordinal2) = A)) # label(t56_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.73/5.92	2068 (all A all B (r1_tarski(A,B) -> r1_tarski(k3_ordinal2(A),k3_ordinal2(B)))) # label(t14_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.73/5.92	2069 (all A (v1_funct_1(A) & v5_ordinal1(A) & v1_relat_1(A) -> k7_ordinal2(k2_relat_1(A)) = k8_ordinal2(A))) # label(d9_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.73/5.92	2070 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (all C (v3_ordinal1(C) -> (r1_ordinal1(A,B) -> r1_ordinal1(k14_ordinal2(C,A),k14_ordinal2(C,B))))))))) # label(t50_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.73/5.92	2071 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (all C (v3_ordinal1(C) -> ((exists D (v1_relat_1(D) & v1_funct_1(D) & v5_ordinal1(D) & v1_ordinal2(D) & k1_ordinal2(D) = C & A = k1_funct_1(D,k1_xboole_0) & (all E (v3_ordinal1(E) -> (r2_hidden(E,k1_ordinal1(B)) & v4_ordinal1(E) -> k1_funct_1(D,E) = k8_ordinal2(k2_ordinal1(D,E)) | E = k1_xboole_0))) & (all E (v3_ordinal1(E) -> (r2_hidden(k1_ordinal1(E),k1_ordinal1(B)) -> k1_funct_1(D,k1_ordinal1(E)) = k1_ordinal1(k1_funct_1(D,E))))) & k1_ordinal1(B) = k1_relat_1(D))) <-> C = k14_ordinal2(A,B)))))))) # label(d18_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.73/5.92	2072 (all A all B (v3_ordinal1(B) -> ((all C (v3_ordinal1(C) -> (r1_tarski(k2_ordinal2(A),C) -> r1_ordinal1(B,C)))) & r1_tarski(k2_ordinal2(A),B) <-> k7_ordinal2(A) = B))) # label(d7_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.73/5.92	2073 (all A r1_ordinal1(k6_ordinal2(A),k7_ordinal2(A))) # label(t32_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.73/5.92	2074 (exists A (v2_ordinal1(A) & v4_ordinal1(A) & v3_ordinal1(A) & v1_ordinal1(A))) # label(rc1_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.73/5.92	2075 (all A (v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) -> k6_ordinal2(k2_relat_1(A)) = k9_ordinal2(A))) # label(d10_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.73/5.92	2076 $T # label(t43_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.73/5.92	2077 (all A all B (v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v3_ordinal1(B) & v1_ordinal2(A) -> v1_ordinal2(k7_relat_1(A,B)) & v1_funct_1(k7_relat_1(A,B)) & v1_relat_1(k7_relat_1(A,B)))) # label(fc2_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.73/5.92	2078 (all A v3_ordinal1(k7_ordinal2(A))) # label(dt_k7_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.73/5.92	2079 (all A all B (r1_tarski(A,B) -> r1_tarski(k2_ordinal2(A),k2_ordinal2(B)))) # label(t11_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.73/5.92	2080 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> -((exists C (v1_funct_1(C) & v5_ordinal1(C) & k1_ordinal1(f1_s13_ordinal2) = k1_relat_1(C) & (all D (v3_ordinal1(D) -> (r2_hidden(D,k1_ordinal1(f1_s13_ordinal2)) & v4_ordinal1(D) -> k1_funct_1(C,D) = f4_s13_ordinal2(D,k2_ordinal1(C,D)) | k1_xboole_0 = D))) & (all D (v3_ordinal1(D) -> (r2_hidden(k1_ordinal1(D),k1_ordinal1(f1_s13_ordinal2)) -> f3_s13_ordinal2(D,k1_funct_1(C,D)) = k1_funct_1(C,k1_ordinal1(D))))) & k1_funct_1(C,k1_xboole_0) = f2_s13_ordinal2 & k1_ordinal2(C) = B & v1_ordinal2(C) & v1_relat_1(C))) & B != A & (exists C (v1_relat_1(C) & v1_funct_1(C) & v5_ordinal1(C) & k1_ordinal2(C) = A & k1_relat_1(C) = k1_ordinal1(f1_s13_ordinal2) & (all D (v3_ordinal1(D) -> (r2_hidden(D,k1_ordinal1(f1_s13_ordinal2)) & v4_ordinal1(D) -> k1_funct_1(C,D) = f4_s13_ordinal2(D,k2_ordinal1(C,D)) | k1_xboole_0 = D))) & (all D (v3_ordinal1(D) -> (r2_hidden(k1_ordinal1(D),k1_ordinal1(f1_s13_ordinal2)) -> f3_s13_ordinal2(D,k1_funct_1(C,D)) = k1_funct_1(C,k1_ordinal1(D))))) & f2_s13_ordinal2 = k1_funct_1(C,k1_xboole_0) & v1_ordinal2(C)))))))) # label(s13_ordinal2_AndLHS) # label(axiom) # label(non_clause).  [assumption].
5.73/5.92	2081 (exists A (v3_ordinal1(A) & (exists B (v1_relat_1(B) & v5_ordinal1(B) & A = k1_ordinal2(B) & k1_ordinal1(f1_s13_ordinal2) = k1_relat_1(B) & f2_s13_ordinal2 = k1_funct_1(B,k1_xboole_0) & (all C (v3_ordinal1(C) -> (r2_hidden(k1_ordinal1(C),k1_ordinal1(f1_s13_ordinal2)) -> f3_s13_ordinal2(C,k1_funct_1(B,C)) = k1_funct_1(B,k1_ordinal1(C))))) & (all C (v3_ordinal1(C) -> (r2_hidden(C,k1_ordinal1(f1_s13_ordinal2)) & v4_ordinal1(C) -> k1_funct_1(B,C) = f4_s13_ordinal2(C,k2_ordinal1(B,C)) | k1_xboole_0 = C))) & v1_ordinal2(B) & v1_funct_1(B))))) # label(s13_ordinal2_AndRHS) # label(axiom) # label(non_clause).  [assumption].
5.77/5.98	2082 (all A all B (v3_ordinal1(B) & v3_ordinal1(A) -> v3_ordinal1(k16_ordinal2(A,B)))) # label(dt_k16_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.77/5.98	2083 $T # label(t41_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.77/5.98	2084 (all A k6_ordinal2(A) = k1_setfam_1(k2_ordinal2(A))) # label(d6_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.77/5.98	2085 $T # label(t42_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.77/5.98	2086 (all A all B (v3_ordinal1(B) & v3_ordinal1(A) -> v3_ordinal1(k15_ordinal2(A,B)))) # label(dt_k15_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.77/5.98	2087 (all A (v3_ordinal1(A) -> (all B ((exists C (v1_funct_1(C) & B = k1_ordinal2(C) & (all D (v3_ordinal1(D) -> (r2_hidden(k1_ordinal1(D),k1_ordinal1(A)) -> k1_funct_1(C,k1_ordinal1(D)) = f2_s9_ordinal2(D,k1_funct_1(C,D))))) & (all D (v3_ordinal1(D) -> (r2_hidden(D,k1_ordinal1(A)) & v4_ordinal1(D) -> k1_funct_1(C,D) = f3_s9_ordinal2(D,k2_ordinal1(C,D)) | k1_xboole_0 = D))) & k1_funct_1(C,k1_xboole_0) = f1_s9_ordinal2 & k1_relat_1(C) = k1_ordinal1(A) & v5_ordinal1(C) & v1_relat_1(C))) <-> f4_s9_ordinal2(A) = B)))) -> (all A (v3_ordinal1(A) -> f4_s9_ordinal2(k1_ordinal1(A)) = f2_s9_ordinal2(A,f4_s9_ordinal2(A)))) # label(s9_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.77/5.98	2088 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (all C (v3_ordinal1(C) -> ((exists D (v5_ordinal1(D) & v1_ordinal2(D) & k1_funct_1(D,k1_xboole_0) = k1_xboole_0 & (all E (v3_ordinal1(E) -> (v4_ordinal1(E) & r2_hidden(E,k1_ordinal1(A)) -> k1_funct_1(D,E) = k3_tarski(k8_ordinal2(k2_ordinal1(D,E))) | E = k1_xboole_0))) & (all E (v3_ordinal1(E) -> (r2_hidden(k1_ordinal1(E),k1_ordinal1(A)) -> k14_ordinal2(k1_funct_1(D,E),B) = k1_funct_1(D,k1_ordinal1(E))))) & k1_relat_1(D) = k1_ordinal1(A) & C = k1_ordinal2(D) & v1_funct_1(D) & v1_relat_1(D))) <-> C = k15_ordinal2(A,B)))))))) # label(d19_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.77/5.98	2089 (all A (v1_funct_1(A) & v5_ordinal1(A) & v1_relat_1(A) -> k1_funct_1(A,k3_tarski(k1_relat_1(A))) = k1_ordinal2(A))) # label(d1_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.77/5.98	2090 $T # label(t21_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.77/5.98	2091 $T # label(t64_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.77/5.98	2092 (all A v3_ordinal1(k6_ordinal2(A))) # label(dt_k6_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.77/5.98	2093 f1_s4_ordinal2 = k1_relat_1(f5_s4_ordinal2) & f1_s4_ordinal2 = k1_relat_1(f6_s4_ordinal2) & (r2_hidden(k1_xboole_0,f1_s4_ordinal2) -> k1_funct_1(f6_s4_ordinal2,k1_xboole_0) = f2_s4_ordinal2) & (all A (v3_ordinal1(A) -> (v4_ordinal1(A) & r2_hidden(A,f1_s4_ordinal2) -> k1_funct_1(f6_s4_ordinal2,A) = f4_s4_ordinal2(A,k2_ordinal1(f6_s4_ordinal2,A)) | k1_xboole_0 = A))) & (all A (v3_ordinal1(A) -> (r2_hidden(k1_ordinal1(A),f1_s4_ordinal2) -> f3_s4_ordinal2(A,k1_funct_1(f6_s4_ordinal2,A)) = k1_funct_1(f6_s4_ordinal2,k1_ordinal1(A))))) & (all A (v3_ordinal1(A) -> (v4_ordinal1(A) & r2_hidden(A,f1_s4_ordinal2) -> k1_xboole_0 = A | f4_s4_ordinal2(A,k2_ordinal1(f5_s4_ordinal2,A)) = k1_funct_1(f5_s4_ordinal2,A)))) & (all A (v3_ordinal1(A) -> (r2_hidden(k1_ordinal1(A),f1_s4_ordinal2) -> f3_s4_ordinal2(A,k1_funct_1(f5_s4_ordinal2,A)) = k1_funct_1(f5_s4_ordinal2,k1_ordinal1(A))))) & (r2_hidden(k1_xboole_0,f1_s4_ordinal2) -> f2_s4_ordinal2 = k1_funct_1(f5_s4_ordinal2,k1_xboole_0)) -> f6_s4_ordinal2 = f5_s4_ordinal2 # label(s4_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.77/5.98	2094 (all A (v3_ordinal1(A) -> k7_ordinal2(A) = A)) # label(t26_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2095 $T # label(dt_k3_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2096 (all A (v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) -> v3_ordinal1(k10_ordinal2(A)))) # label(dt_k10_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2097 (all A all B -((exists C (v1_funct_1(C) & k1_ordinal2(C) = A & (all D (v3_ordinal1(D) -> (v4_ordinal1(D) & r2_hidden(D,k1_ordinal1(f1_s7_ordinal2)) -> f4_s7_ordinal2(D,k2_ordinal1(C,D)) = k1_funct_1(C,D) | D = k1_xboole_0))) & (all D (v3_ordinal1(D) -> (r2_hidden(k1_ordinal1(D),k1_ordinal1(f1_s7_ordinal2)) -> f3_s7_ordinal2(D,k1_funct_1(C,D)) = k1_funct_1(C,k1_ordinal1(D))))) & f2_s7_ordinal2 = k1_funct_1(C,k1_xboole_0) & k1_relat_1(C) = k1_ordinal1(f1_s7_ordinal2) & v5_ordinal1(C) & v1_relat_1(C))) & A != B & (exists C (v1_funct_1(C) & v5_ordinal1(C) & k1_relat_1(C) = k1_ordinal1(f1_s7_ordinal2) & k1_funct_1(C,k1_xboole_0) = f2_s7_ordinal2 & (all D (v3_ordinal1(D) -> (r2_hidden(k1_ordinal1(D),k1_ordinal1(f1_s7_ordinal2)) -> f3_s7_ordinal2(D,k1_funct_1(C,D)) = k1_funct_1(C,k1_ordinal1(D))))) & (all D (v3_ordinal1(D) -> (r2_hidden(D,k1_ordinal1(f1_s7_ordinal2)) & v4_ordinal1(D) -> k1_funct_1(C,D) = f4_s7_ordinal2(D,k2_ordinal1(C,D)) | k1_xboole_0 = D))) & B = k1_ordinal2(C) & v1_relat_1(C))))) # label(s7_ordinal2_AndLHS) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2098 (exists A exists B (v1_relat_1(B) & v1_funct_1(B) & (all C (v3_ordinal1(C) -> (r2_hidden(k1_ordinal1(C),k1_ordinal1(f1_s7_ordinal2)) -> f3_s7_ordinal2(C,k1_funct_1(B,C)) = k1_funct_1(B,k1_ordinal1(C))))) & (all C (v3_ordinal1(C) -> (v4_ordinal1(C) & r2_hidden(C,k1_ordinal1(f1_s7_ordinal2)) -> k1_funct_1(B,C) = f4_s7_ordinal2(C,k2_ordinal1(B,C)) | k1_xboole_0 = C))) & k1_funct_1(B,k1_xboole_0) = f2_s7_ordinal2 & k1_ordinal1(f1_s7_ordinal2) = k1_relat_1(B) & k1_ordinal2(B) = A & v5_ordinal1(B))) # label(s7_ordinal2_AndRHS) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2099 (all A (v1_relat_1(A) & v5_ordinal1(A) & v1_ordinal2(A) & v1_funct_1(A) -> ((all B (v3_ordinal1(B) -> (all C (v3_ordinal1(C) -> (k1_funct_1(A,B) = C & v4_ordinal1(B) & r2_hidden(B,k1_relat_1(A)) -> r1_ordinal2(C,k2_ordinal1(A,B)) | k1_xboole_0 = B))))) <-> v3_ordinal2(A)))) # label(d17_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2100 (all A all B ((all C (r2_hidden(C,B) <-> r2_hidden(C,A) & (exists D (D = C & v4_ordinal1(D) & v3_ordinal1(D))))) <-> B = k3_ordinal2(A))) # label(d3_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2101 $T # label(dt_k5_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2102 (all A (v3_ordinal1(A) -> (all B (v1_funct_1(B) & v5_ordinal1(B) & v1_ordinal2(B) & v1_relat_1(B) -> (k1_xboole_0 != A -> ((all C (v3_ordinal1(C) -> (all D (v3_ordinal1(D) -> -((all E (v3_ordinal1(E) -> -((all F (v3_ordinal1(F) -> (r1_ordinal1(E,F) & r2_hidden(F,k1_relat_1(B)) -> r2_hidden(k1_funct_1(B,F),D) & r2_hidden(C,k1_funct_1(B,F))))) & r2_hidden(E,k1_relat_1(B))))) & r2_hidden(A,D) & r2_hidden(C,A)))))) <-> r1_ordinal2(A,B))) & (A = k1_xboole_0 -> ((exists C ((all D (v3_ordinal1(D) -> (r1_ordinal1(C,D) & r2_hidden(D,k1_relat_1(B)) -> k1_funct_1(B,D) = k1_xboole_0))) & r2_hidden(C,k1_relat_1(B)) & v3_ordinal1(C))) <-> r1_ordinal2(A,B))))))) # label(d13_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2103 (all A (r2_hidden(A,k5_ordinal2) <-> v4_ordinal2(A))) # label(d21_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2104 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (all C (v3_ordinal1(C) -> (r1_ordinal1(A,B) -> r1_ordinal1(k15_ordinal2(C,A),k15_ordinal2(C,B))))))))) # label(t59_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2105 (all A (v3_ordinal1(A) -> A = k14_ordinal2(k1_xboole_0,A))) # label(t47_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2106 $T # label(dt_k1_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2107 (all A (v1_ordinal2(A) & v5_ordinal1(A) & v1_funct_1(A) & v1_relat_1(A) -> ((exists B (v3_ordinal1(B) & r1_ordinal2(B,A))) -> (all B (v3_ordinal1(B) -> (k12_ordinal2(A) = B <-> r1_ordinal2(B,A))))))) # label(d14_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2108 (exists A (v1_relat_1(A) & v5_ordinal1(A) & f1_s5_ordinal2 = k1_relat_1(A) & (all B (v3_ordinal1(B) -> (r2_hidden(k1_ordinal1(B),f1_s5_ordinal2) -> f3_s5_ordinal2(B,k1_funct_1(A,B)) = k1_funct_1(A,k1_ordinal1(B))))) & (all B (v3_ordinal1(B) -> (r2_hidden(B,f1_s5_ordinal2) & v4_ordinal1(B) -> k1_funct_1(A,B) = f4_s5_ordinal2(B,k2_ordinal1(A,B)) | B = k1_xboole_0))) & (r2_hidden(k1_xboole_0,f1_s5_ordinal2) -> k1_funct_1(A,k1_xboole_0) = f2_s5_ordinal2) & v1_funct_1(A))) # label(s5_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2109 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> k16_ordinal2(A,k1_ordinal1(B)) = k15_ordinal2(A,k16_ordinal2(A,B)))))) # label(t61_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2110 $T # label(t36_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2111 (all A all B ((all C (r2_hidden(C,A) & v3_ordinal1(C) <-> r2_hidden(C,B))) <-> B = k2_ordinal2(A))) # label(d2_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2112 $T # label(t18_ordinal2) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2113 (all A (-v1_xboole_0(k5_finsub_1(A)) & v4_finsub_1(k5_finsub_1(A)) & v3_finsub_1(k5_finsub_1(A)) & v1_finsub_1(k5_finsub_1(A)))) # label(fc2_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2114 (all A all B (m1_subset_1(B,k5_finsub_1(A)) -> v1_finset_1(B))) # label(cc3_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2115 (all A ((all B all C (r2_hidden(C,A) & r2_hidden(B,A) -> r2_hidden(k2_xboole_0(B,C),A))) <-> v1_finsub_1(A))) # label(d1_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2116 $T # label(t6_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2117 (all A (v1_finsub_1(A) & v3_finsub_1(A) <-> v4_finsub_1(A))) # label(d4_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2118 $T # label(t22_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2119 $T # label(t31_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2120 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & v4_finsub_1(A) -> m1_subset_1(k4_finsub_1(A,B,C),A))) # label(dt_k4_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2121 (all A (-v1_xboole_0(A) & v4_finsub_1(A) -> r2_hidden(k1_xboole_0,A))) # label(t18_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2122 $T # label(t4_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2123 $T # label(t9_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2124 (all A all B (r1_tarski(A,B) -> r1_tarski(k5_finsub_1(A),k5_finsub_1(B)))) # label(t23_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2125 $T # label(t12_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2126 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (v1_finset_1(A) -> m1_subset_1(B,k5_finsub_1(A))))) # label(t34_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2127 $T # label(t5_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2128 (all A all B all C (v4_finsub_1(C) & -v1_xboole_0(C) -> (m1_subset_1(A,C) & m1_subset_1(B,C) -> m1_subset_1(k5_xboole_0(A,B),C)))) # label(t14_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2129 (all A (v2_finsub_1(A) <-> (all B all C (r2_hidden(B,A) & r2_hidden(C,A) -> r2_hidden(k3_xboole_0(B,C),A))))) # label(d2_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2130 (all A (v1_finset_1(A) -> k5_finsub_1(A) = k1_zfmisc_1(A))) # label(t27_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2131 $T # label(t33_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2132 (all A v4_finsub_1(k1_zfmisc_1(A))) # label(t20_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2133 $T # label(t2_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2134 (all A ((all B all C (r2_hidden(C,A) & r2_hidden(B,A) -> r2_hidden(k4_xboole_0(B,C),A))) <-> v3_finsub_1(A))) # label(d3_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2135 $T # label(t1_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2136 $T # label(t29_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2137 (all A all B all C (v4_finsub_1(C) & -v1_xboole_0(C) -> (m1_subset_1(B,C) & m1_subset_1(A,C) -> m1_subset_1(k3_xboole_0(A,B),C)))) # label(t13_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2138 (all A all B k3_xboole_0(k5_finsub_1(A),k5_finsub_1(B)) = k5_finsub_1(k3_xboole_0(A,B))) # label(t24_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2139 (all A all B all C (-v1_xboole_0(A) & v4_finsub_1(A) & m1_subset_1(B,A) & m1_subset_1(C,A) -> k2_xboole_0(B,C) = k1_finsub_1(A,B,C))) # label(redefinition_k1_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2140 $T # label(t8_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2141 (all A (-v1_xboole_0(A) -> ((all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> r2_hidden(k5_xboole_0(B,C),A) & r2_hidden(k3_xboole_0(B,C),A))))) -> v4_finsub_1(A)))) # label(t16_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2142 $T # label(t7_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2143 (all A all B all C (v4_finsub_1(A) & m1_subset_1(C,A) & m1_subset_1(B,A) & -v1_xboole_0(A) -> k4_finsub_1(A,C,B) = k4_finsub_1(A,B,C))) # label(commutativity_k4_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2144 $T # label(t3_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2145 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & v4_finsub_1(A) -> m1_subset_1(k3_finsub_1(A,B,C),A))) # label(dt_k3_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2146 $T # label(t11_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.77/6.00	2147 (all A (-v1_xboole_0(A) -> ((all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> r2_hidden(k5_xboole_0(B,C),A) & r2_hidden(k4_xboole_0(B,C),A))))) -> v4_finsub_1(A)))) # label(t15_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2148 (all A v4_finsub_1(k5_finsub_1(A))) # label(dt_k5_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2149 (all A all B all C (m1_subset_1(B,A) & m1_subset_1(C,A) & v4_finsub_1(A) & -v1_xboole_0(A) -> k5_xboole_0(B,C) = k4_finsub_1(A,B,C))) # label(redefinition_k4_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2150 (all A (-v1_xboole_0(A) & v4_finsub_1(A) -> (all B (v4_finsub_1(B) & -v1_xboole_0(B) -> -v1_xboole_0(k3_xboole_0(A,B)) & v4_finsub_1(k3_xboole_0(A,B)))))) # label(t21_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2151 (all A all B (v4_finsub_1(B) -> (k5_finsub_1(A) = B <-> (all C (r2_hidden(C,B) <-> v1_finset_1(C) & r1_tarski(C,A)))))) # label(d5_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2152 (all A all B all C (m1_subset_1(C,A) & m1_subset_1(B,A) & v4_finsub_1(A) & -v1_xboole_0(A) -> k3_finsub_1(A,B,B) = B)) # label(idempotence_k3_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2153 (all A all B (m1_subset_1(B,k5_finsub_1(A)) -> m1_subset_1(B,k1_zfmisc_1(A)))) # label(t32_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2154 (all A all B all C (-v1_xboole_0(A) & v4_finsub_1(A) & m1_subset_1(B,A) & m1_subset_1(C,A) -> k3_xboole_0(B,C) = k3_finsub_1(A,B,C))) # label(redefinition_k3_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2155 (all A (-v1_xboole_0(A) -> ((all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> r2_hidden(k5_xboole_0(B,C),A) & r2_hidden(k2_xboole_0(B,C),A))))) -> v4_finsub_1(A)))) # label(t17_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2156 (all A (v4_finsub_1(k1_zfmisc_1(A)) & v3_finsub_1(k1_zfmisc_1(A)) & v1_finsub_1(k1_zfmisc_1(A)) & -v1_xboole_0(k1_zfmisc_1(A)))) # label(fc1_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2157 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,A) & m1_subset_1(B,A) & v4_finsub_1(A) -> k4_xboole_0(B,C) = k2_finsub_1(A,B,C))) # label(redefinition_k2_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2158 (all A (v4_finsub_1(A) -> v1_finsub_1(A) & v3_finsub_1(A))) # label(cc1_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2159 (exists A (-v1_xboole_0(A) & v2_finsub_1(A) & v3_finsub_1(A) & v4_finsub_1(A) & v1_finsub_1(A))) # label(rc1_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2160 (all A r1_tarski(k5_finsub_1(A),k1_zfmisc_1(A))) # label(t26_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2161 (all A all B r1_tarski(k2_xboole_0(k5_finsub_1(A),k5_finsub_1(B)),k5_finsub_1(k2_xboole_0(A,B)))) # label(t25_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2162 (all A all B (m1_subset_1(B,k5_finsub_1(A)) -> v1_finset_1(B))) # label(t30_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2163 (all A all B all C (v4_finsub_1(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & -v1_xboole_0(A) -> k1_finsub_1(A,B,B) = B)) # label(idempotence_k1_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2164 $T # label(t19_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2165 (all A all B all C (m1_subset_1(C,A) & m1_subset_1(B,A) & v4_finsub_1(A) & -v1_xboole_0(A) -> m1_subset_1(k2_finsub_1(A,B,C),A))) # label(dt_k2_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2166 (all A ((all B all C (r2_hidden(B,A) & r2_hidden(C,A) -> r2_hidden(k2_xboole_0(B,C),A) & r2_hidden(k4_xboole_0(B,C),A))) <-> v4_finsub_1(A))) # label(t10_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2167 (all A all B all C (v4_finsub_1(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & -v1_xboole_0(A) -> k1_finsub_1(A,C,B) = k1_finsub_1(A,B,C))) # label(commutativity_k1_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2168 (all A all B all C (v4_finsub_1(A) & m1_subset_1(C,A) & m1_subset_1(B,A) & -v1_xboole_0(A) -> k3_finsub_1(A,C,B) = k3_finsub_1(A,B,C))) # label(commutativity_k3_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2169 (all A (v1_finsub_1(A) & v3_finsub_1(A) -> v4_finsub_1(A))) # label(cc2_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2170 (all A all B all C (m1_subset_1(B,A) & m1_subset_1(C,A) & v4_finsub_1(A) & -v1_xboole_0(A) -> m1_subset_1(k1_finsub_1(A,B,C),A))) # label(dt_k1_finsub_1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2171 (all A (r2_hidden(A,a_0_0_numbers) <-> (exists B (A = B & np__0 = k1_funct_1(B,k13_arytm_3) & m1_subset_1(B,k1_funct_2(k2_tarski(np__0,k13_arytm_3),k1_numbers)))))) # label(fraenkel_a_0_0_numbers) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2172 $T # label(dt_k1_numbers) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2173 $T # label(dt_k3_numbers) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2174 $T # label(dt_k4_numbers) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2175 $T # label(dt_k2_numbers) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2176 (all A all B (m1_subset_1(B,A) -> (exists C m3_realset1(C,A,B)))) # label(existence_m3_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2177 (all A (v1_finset_1(A) -> (-r1_xreal_0(np__2,k4_card_1(A)) <-> v1_realset1(A)))) # label(t13_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2178 (all A (-(v1_realset1(A) & (exists B exists C (B != C & r2_hidden(C,A) & r2_hidden(B,A)))) & -((all B all C -(r2_hidden(B,A) & r2_hidden(C,A) & C != B)) & -v1_realset1(A)))) # label(t14_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2179 (all A all B (m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (exists C m1_realset1(C,A,B)))) # label(existence_m1_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2180 (all A all B (m1_subset_1(B,A) -> (exists C ((all D (r2_hidden(D,k2_zfmisc_1(k4_xboole_0(A,k1_tarski(B)),k4_xboole_0(A,k1_tarski(B)))) -> r2_hidden(k1_funct_1(C,D),k4_xboole_0(A,k1_tarski(B))))) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C))))) # label(t10_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2181 (all A all B (-v1_realset1(A) & m1_subset_1(B,A) -> m4_realset1(k5_realset1(A,B),A))) # label(dt_k5_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2182 $T # label(dt_m4_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2183 (all A (v1_realset1(A) <-> -(-v1_xboole_0(A) & (all B A != k1_tarski(B))))) # label(d4_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2184 (all A all B (v1_funct_2(B,k2_zfmisc_1(A,A),A) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (m1_realset1(C,A,B) <-> (all D (r2_hidden(D,k2_zfmisc_1(C,C)) -> r2_hidden(k1_funct_1(B,D),C)))))))) # label(d2_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2185 (all A all B (v1_relat_1(A) -> v1_relat_1(k1_realset1(A,B)))) # label(fc1_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2186 (all A all B (-v1_realset1(A) & m4_realset1(B,A) -> -v1_xboole_0(k4_xboole_0(A,B)))) # label(fc4_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2187 (all A (-v1_realset1(A) -> (all B (v1_funct_2(B,k2_zfmisc_1(A,A),A) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C (m1_subset_1(C,A) -> (m2_relset_1(k4_xboole_0(k1_realset1(B,A),k1_tarski(C)),k2_zfmisc_1(k4_xboole_0(A,k1_tarski(C)),k4_xboole_0(A,k1_tarski(C))),k4_xboole_0(A,k1_tarski(C))) & v1_funct_2(k4_xboole_0(k1_realset1(B,A),k1_tarski(C)),k2_zfmisc_1(k4_xboole_0(A,k1_tarski(C)),k4_xboole_0(A,k1_tarski(C))),k4_xboole_0(A,k1_tarski(C))) & v1_funct_1(k4_xboole_0(k1_realset1(B,A),k1_tarski(C))) & m1_realset1(k4_xboole_0(A,k1_tarski(C)),A,B) <-> r2_realset1(A,B,C)))))))) # label(d5_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2188 (all A (-v1_xboole_0(A) -> ((all B (m1_subset_1(B,A) -> -v1_xboole_0(k4_xboole_0(A,k1_tarski(B))))) -> -v1_realset1(A)))) # label(t7_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2189 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (exists C m2_realset1(C,A,B)))) # label(existence_m2_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2190 (all A all B (m1_subset_1(B,A) -> (all C (m3_realset1(C,A,B) -> v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A))))) # label(dt_m3_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2191 (all A all B all C (-v1_realset1(A) & m3_realset1(C,A,B) & m1_subset_1(B,A) -> m2_relset_1(k4_realset1(A,B,C),k2_zfmisc_1(k4_xboole_0(A,k1_tarski(B)),k4_xboole_0(A,k1_tarski(B))),k4_xboole_0(A,k1_tarski(B))) & v1_funct_2(k4_realset1(A,B,C),k2_zfmisc_1(k4_xboole_0(A,k1_tarski(B)),k4_xboole_0(A,k1_tarski(B))),k4_xboole_0(A,k1_tarski(B))) & v1_funct_1(k4_realset1(A,B,C)))) # label(dt_k4_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2192 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> -((all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> -(r2_hidden(C,B) & r2_hidden(D,B) & D != C))))) & -v1_realset1(B)) & -(v1_realset1(B) & (exists C ((exists D (m1_subset_1(D,A) & r2_hidden(C,B) & r2_hidden(D,B) & C != D)) & m1_subset_1(C,A)))))) # label(t15_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2193 (exists A (-v1_xboole_0(A) & v1_realset1(A))) # label(rc1_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2194 (all A all B (m1_subset_1(B,A) & -v1_realset1(A) -> k5_realset1(A,B) = k1_tarski(B))) # label(redefinition_k5_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2195 (all A (-v1_realset1(A) -> (all B (m1_subset_1(B,A) -> (all C (m3_realset1(C,A,B) -> v1_funct_1(k1_realset1(C,k4_xboole_0(A,k1_tarski(B)))) & m2_relset_1(k1_realset1(C,k4_xboole_0(A,k1_tarski(B))),k2_zfmisc_1(k4_xboole_0(A,k1_tarski(B)),k4_xboole_0(A,k1_tarski(B))),k4_xboole_0(A,k1_tarski(B))) & v1_funct_2(k1_realset1(C,k4_xboole_0(A,k1_tarski(B))),k2_zfmisc_1(k4_xboole_0(A,k1_tarski(B)),k4_xboole_0(A,k1_tarski(B))),k4_xboole_0(A,k1_tarski(B))))))))) # label(t11_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2196 (all A all B all C (v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> (r2_hidden(B,k2_zfmisc_1(A,A)) -> r2_hidden(k1_funct_1(C,B),A)))) # label(t1_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2197 (all A (-v1_realset1(A) -> (exists B m4_realset1(B,A)))) # label(existence_m4_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2198 (all A (-v1_realset1(A) -> -v1_xboole_0(A))) # label(cc1_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2199 (all A all B (v1_funct_2(B,k2_zfmisc_1(A,A),A) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (exists C (m1_subset_1(C,k1_zfmisc_1(A)) & (all D (r2_hidden(D,k2_zfmisc_1(C,C)) -> r2_hidden(k1_funct_1(B,D),C))))))) # label(t2_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2200 (all A (v1_relat_1(A) -> (all B k1_realset1(A,B) = k7_relat_1(A,k2_zfmisc_1(B,B))))) # label(d3_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2201 (all A all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m2_relset_1(B,k2_zfmisc_1(A,A),A) -> (all C (m1_realset1(C,A,B) -> v1_funct_1(k1_realset1(B,C)) & m2_relset_1(k1_realset1(B,C),k2_zfmisc_1(C,C),C) & v1_funct_2(k1_realset1(B,C),k2_zfmisc_1(C,C),C))))) # label(t3_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2202 $T # label(dt_k1_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2203 (all A (-v1_realset1(A) -> (all B (m4_realset1(B,A) -> -v1_xboole_0(k4_xboole_0(A,B)))))) # label(t12_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2204 (all A all B (v1_funct_1(A) & v1_relat_1(A) -> v1_relat_1(k1_realset1(A,B)) & v1_funct_1(k1_realset1(A,B)))) # label(fc2_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2205 (all A (-v1_realset1(A) -> (all B ((exists C (m1_subset_1(C,A) & k1_tarski(C) = B)) <-> m4_realset1(B,A))))) # label(d10_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2206 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m2_realset1(C,A,B) -> k3_realset1(A,B,C) = k1_realset1(C,B))))) # label(d7_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2207 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(A)) & m2_realset1(C,A,B) -> v1_funct_1(k3_realset1(A,B,C)) & m2_relset_1(k3_realset1(A,B,C),k2_zfmisc_1(B,B),B) & v1_funct_2(k3_realset1(A,B,C),k2_zfmisc_1(B,B),B))) # label(dt_k3_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2208 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m2_realset1(C,A,B) -> v1_funct_1(k1_realset1(C,B)) & m2_relset_1(k1_realset1(C,B),k2_zfmisc_1(B,B),B) & v1_funct_2(k1_realset1(C,B),k2_zfmisc_1(B,B),B))))) # label(t9_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2209 (all A all B (v1_funct_2(B,k2_zfmisc_1(A,A),A) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (r1_realset1(A,B,C) <-> (all D (r2_hidden(D,k2_zfmisc_1(C,C)) -> r2_hidden(k1_funct_1(B,D),C)))))))) # label(d1_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2210 (exists A ((all B (m1_subset_1(B,A) -> -v1_xboole_0(k4_xboole_0(A,k1_tarski(B))))) & -v1_xboole_0(A))) # label(t5_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2211 (all A (-v1_xboole_0(A) -> ((all B -v1_xboole_0(k4_xboole_0(A,k1_tarski(B)))) <-> -v1_realset1(A)))) # label(t4_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2212 (all A all B all C (v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_realset1(C,A,B) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> v1_funct_1(k2_realset1(A,B,C)) & m2_relset_1(k2_realset1(A,B,C),k2_zfmisc_1(C,C),C) & v1_funct_2(k2_realset1(A,B,C),k2_zfmisc_1(C,C),C))) # label(dt_k2_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2213 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (exists C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & (all D (r2_hidden(D,k2_zfmisc_1(B,B)) -> r2_hidden(k1_funct_1(C,D),B))) & m2_relset_1(C,k2_zfmisc_1(A,A),A))))) # label(t8_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2214 (all A all B (m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C (m1_realset1(C,A,B) -> m1_subset_1(C,k1_zfmisc_1(A)))))) # label(dt_m1_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2215 (all A (-v1_realset1(A) -> (exists B (-v1_xboole_0(B) & m4_realset1(B,A))))) # label(rc3_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2216 (all A (-v1_realset1(A) -> (all B (m1_subset_1(B,A) -> (all C (m3_realset1(C,A,B) -> k1_realset1(C,k4_xboole_0(A,k1_tarski(B))) = k4_realset1(A,B,C))))))) # label(d9_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2217 (all A all B (m1_subset_1(B,A) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) -> (m3_realset1(C,A,B) <-> (all D (r2_hidden(D,k2_zfmisc_1(k4_xboole_0(A,k1_tarski(B)),k4_xboole_0(A,k1_tarski(B)))) -> r2_hidden(k1_funct_1(C,D),k4_xboole_0(A,k1_tarski(B)))))))))) # label(d8_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2218 (all A (v1_realset1(k1_tarski(A)) & v1_finset_1(k1_tarski(A)) & -v1_xboole_0(k1_tarski(A)))) # label(fc3_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2219 (all A all B all C (m1_relset_1(B,k2_zfmisc_1(A,A),A) & m1_realset1(C,A,B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> k1_realset1(B,C) = k2_realset1(A,B,C))) # label(redefinition_k2_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2220 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> (m2_realset1(C,A,B) <-> (all D (r2_hidden(D,k2_zfmisc_1(B,B)) -> r2_hidden(k1_funct_1(C,D),B)))))))) # label(d6_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2221 (exists A (-v1_xboole_0(A) & -v1_realset1(A))) # label(rc2_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2222 (all A (-v1_xboole_0(A) -> -(v1_realset1(A) & (all B (m1_subset_1(B,A) -> -v1_xboole_0(k4_xboole_0(A,k1_tarski(B)))))))) # label(t6_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2223 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m2_realset1(C,A,B) -> v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C))))) # label(dt_m2_realset1) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2224 (all A all B (-v3_struct_0(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_struct_0(A) -> (all C (m1_struct_0(C,A,B) <-> m1_subset_1(C,B))))) # label(redefinition_m1_struct_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2225 (all A all B (-v3_struct_0(A) & l1_struct_0(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_struct_0(C,A,B) -> m1_subset_1(C,u1_struct_0(A)))))) # label(dt_m1_struct_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2226 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2227 (all A all B (m1_subset_1(B,A) -> (all C all D (g2_struct_0(C,D) = g2_struct_0(A,B) -> C = A & B = D)))) # label(free_g2_struct_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2228 (exists A l2_struct_0(A)) # label(existence_l2_struct_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2229 (all A all B (l1_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) & -v3_struct_0(A) -> m1_subset_1(k1_struct_0(A,B),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k1_struct_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2230 (all A (v1_struct_0(g1_struct_0(A)) & l1_struct_0(g1_struct_0(A)))) # label(dt_g1_struct_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2231 (all A all B (g1_struct_0(B) = g1_struct_0(A) -> A = B)) # label(free_g1_struct_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2232 (all A (l1_struct_0(A) & -v3_struct_0(A) -> -v1_xboole_0(u1_struct_0(A)))) # label(fc1_struct_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2233 (all A (l2_struct_0(A) -> m1_subset_1(u2_struct_0(A),u1_struct_0(A)))) # label(dt_u2_struct_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2234 (all A (-v3_struct_0(A) & l1_struct_0(A) -> (exists B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(rc5_struct_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2235 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2236 (all A all B (m1_subset_1(B,A) -> v2_struct_0(g2_struct_0(A,B)) & l2_struct_0(g2_struct_0(A,B)))) # label(dt_g2_struct_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2237 (all A all B (-v3_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (exists C m1_struct_0(C,A,B)))) # label(existence_m1_struct_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2238 (all A (l2_struct_0(A) -> l1_struct_0(A))) # label(dt_l2_struct_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2239 (all A all B all C (-v3_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & l1_struct_0(A) -> m1_subset_1(k2_struct_0(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k2_struct_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2240 (all A all B all C (-v3_struct_0(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l1_struct_0(A) -> k2_tarski(B,C) = k2_struct_0(A,B,C))) # label(redefinition_k2_struct_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2241 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2242 (all A all B all C (-v3_struct_0(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l1_struct_0(A) -> k2_struct_0(A,C,B) = k2_struct_0(A,B,C))) # label(commutativity_k2_struct_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2243 (all A all B (-v3_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) -> k1_tarski(B) = k1_struct_0(A,B))) # label(redefinition_k1_struct_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2244 (exists A (l1_struct_0(A) & v1_struct_0(A))) # label(rc1_struct_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2245 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2246 (exists A (v2_struct_0(A) & l2_struct_0(A))) # label(rc2_struct_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2247 (all A (l1_struct_0(A) -> (v1_struct_0(A) -> g1_struct_0(u1_struct_0(A)) = A))) # label(abstractness_v1_struct_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2248 (exists A (-v3_struct_0(A) & l2_struct_0(A))) # label(rc4_struct_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2249 (all A (l2_struct_0(A) -> (v2_struct_0(A) -> A = g2_struct_0(u1_struct_0(A),u2_struct_0(A))))) # label(abstractness_v2_struct_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2250 (all A (l1_struct_0(A) -> (v3_struct_0(A) <-> v1_xboole_0(u1_struct_0(A))))) # label(d1_struct_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2251 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k3_lattices(A,k4_lattices(A,B,C),k4_lattices(A,B,D)) = k4_lattices(A,B,k3_lattices(A,C,D)))))))) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k4_lattices(A,k3_lattices(A,B,C),k3_lattices(A,B,D)) = k3_lattices(A,B,k4_lattices(A,C,D))))))))))) # label(t19_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2252 $T # label(t37_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2253 $T # label(t10_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2254 (all A (l3_lattices(A) -> (v3_lattices(A) -> A = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A))))) # label(abstractness_v3_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2255 (exists A (v2_lattices(A) & l2_lattices(A))) # label(rc2_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2256 $T # label(t36_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2257 (all A all B all C (-v3_struct_0(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l1_lattices(A) & v6_lattices(A) -> k4_lattices(A,B,C) = k4_lattices(A,C,B))) # label(commutativity_k4_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.00	2258 (all A all B all C (v4_lattices(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l2_lattices(A) & -v3_struct_0(A) -> k1_lattices(A,B,C) = k3_lattices(A,B,C))) # label(redefinition_k3_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2259 (all A (-v3_struct_0(A) & v10_lattices(A) & v14_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k4_lattices(A,k6_lattices(A),B) = B)))) # label(t43_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2260 $T # label(t8_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2261 (all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k6_lattices(A) = k3_lattices(A,k7_lattices(A,B),B))))) # label(t48_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2262 (all A (l2_lattices(A) -> (v2_lattices(A) -> g2_lattices(u1_struct_0(A),u2_lattices(A)) = A))) # label(abstractness_v2_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2263 (all A (v10_lattices(A) & l3_lattices(A) & v17_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k4_lattices(A,k7_lattices(A,B),B) = k5_lattices(A))))) # label(t47_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2264 (all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k4_lattices(A,k7_lattices(A,B),k7_lattices(A,C)) = k7_lattices(A,k3_lattices(A,B,C)))))))) # label(t51_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2265 (all A all B (v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> v1_lattices(g1_lattices(A,B)) & l1_lattices(g1_lattices(A,B)))) # label(dt_g1_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2266 (all A all B all C (-v3_struct_0(A) & l1_lattices(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) -> m1_subset_1(k2_lattices(A,B,C),u1_struct_0(A)))) # label(dt_k2_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2267 (all A all B all C (l1_lattices(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & v6_lattices(A) & -v3_struct_0(A) -> m1_subset_1(k4_lattices(A,B,C),u1_struct_0(A)))) # label(dt_k4_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2268 (all A (l3_lattices(A) & -v3_struct_0(A) -> (v14_lattices(A) & v13_lattices(A) <-> v15_lattices(A)))) # label(d15_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2269 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v13_lattices(A) & v14_lattices(A) -> -v3_struct_0(A) & v15_lattices(A)))) # label(cc3_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2270 (all A all B all C (v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> v3_lattices(g3_lattices(A,B,C)) & l3_lattices(g3_lattices(A,B,C)))) # label(dt_g3_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2271 $T # label(t12_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2272 (exists A l1_lattices(A)) # label(existence_l1_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2273 (all A (l3_lattices(A) & -v3_struct_0(A) -> (v5_lattices(A) & v8_lattices(A) & v7_lattices(A) & v9_lattices(A) & v6_lattices(A) & v4_lattices(A) <-> v10_lattices(A)))) # label(d10_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2274 (all A (l2_lattices(A) & -v3_struct_0(A) -> m1_subset_1(k6_lattices(A),u1_struct_0(A)))) # label(dt_k6_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2275 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k4_lattices(A,k4_lattices(A,k3_lattices(A,B,C),k3_lattices(A,C,D)),k3_lattices(A,D,B)) = k3_lattices(A,k3_lattices(A,k4_lattices(A,B,C),k4_lattices(A,C,D)),k4_lattices(A,D,B)))))))) -> v11_lattices(A)))) # label(t29_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2276 (all A (l2_lattices(A) -> l1_struct_0(A))) # label(dt_l2_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2277 (all A (v17_lattices(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k7_lattices(A,k4_lattices(A,B,C)) = k3_lattices(A,k7_lattices(A,B),k7_lattices(A,C)))))))) # label(t50_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2278 $T # label(t35_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2279 (exists A (v3_lattices(A) & -v3_struct_0(A) & l3_lattices(A))) # label(rc6_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2280 $T # label(t33_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2281 (all A all B (-v1_xboole_0(A) & v1_funct_1(B) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) -> -v3_struct_0(g1_lattices(A,B)) & v1_lattices(g1_lattices(A,B)))) # label(fc2_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2282 (all A (l3_lattices(A) & -v3_struct_0(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k2_lattices(A,B,k1_lattices(A,C,D)) = k1_lattices(A,k2_lattices(A,B,C),k2_lattices(A,B,D)))))))) <-> v11_lattices(A)))) # label(d11_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2283 (all A all B all C (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & -v1_xboole_0(A) -> v3_lattices(g3_lattices(A,B,C)) & -v3_struct_0(g3_lattices(A,B,C)))) # label(fc3_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2284 (all A (-v3_struct_0(A) & l2_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r1_lattices(A,B,C) <-> C = k1_lattices(A,B,C)))))))) # label(d3_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2285 $T # label(t15_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2286 (exists A (v3_lattices(A) & v5_lattices(A) & v6_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v14_lattices(A) & v15_lattices(A) & v13_lattices(A) & v7_lattices(A) & v4_lattices(A) & -v3_struct_0(A) & l3_lattices(A))) # label(rc11_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2287 (all A (-v3_struct_0(A) & l3_lattices(A) & v8_lattices(A) & v6_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> r1_lattices(A,k4_lattices(A,B,C),B))))))) # label(t23_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2288 $T # label(t30_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2289 (all A (-v3_struct_0(A) & l3_lattices(A) -> (v16_lattices(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (exists C (m1_subset_1(C,u1_struct_0(A)) & r2_lattices(A,C,B)))))))) # label(d19_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2290 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v4_lattices(A) & v6_lattices(A) & v7_lattices(A) & v9_lattices(A) & v8_lattices(A) & v5_lattices(A) -> v10_lattices(A) & -v3_struct_0(A)))) # label(cc2_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2291 (all A all B all C (m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l2_lattices(A) & v4_lattices(A) & -v3_struct_0(A) -> m1_subset_1(k3_lattices(A,B,C),u1_struct_0(A)))) # label(dt_k3_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2292 $T # label(t3_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2293 (all A (v8_lattices(A) & l3_lattices(A) & v9_lattices(A) & v6_lattices(A) & v5_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> r1_lattices(A,B,k1_lattices(A,B,C)))))))) # label(t22_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2294 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v11_lattices(A) & v15_lattices(A) & v16_lattices(A) -> -v3_struct_0(A) & v17_lattices(A)))) # label(cc6_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2295 (all A all B all C (v6_lattices(A) & v8_lattices(A) & v9_lattices(A) & l3_lattices(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & -v3_struct_0(A) -> (r1_lattices(A,B,C) <-> r3_lattices(A,B,C)))) # label(redefinition_r3_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2296 (exists A l3_lattices(A)) # label(existence_l3_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2297 (all A (l1_lattices(A) & -v3_struct_0(A) -> (v6_lattices(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_lattices(A,C,B) = k2_lattices(A,B,C)))))))) # label(d6_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2298 (all A all B (-v1_xboole_0(A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> -v3_struct_0(g2_lattices(A,B)) & v2_lattices(g2_lattices(A,B)))) # label(fc1_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2299 (all A (l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v16_lattices(A) & l3_lattices(A) & v11_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (C = k7_lattices(A,B) <-> r2_lattices(A,C,B))))))))) # label(d21_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2300 (all A (-v3_struct_0(A) & l1_lattices(A) -> (v13_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (k5_lattices(A) = B <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> B = k2_lattices(A,B,C) & B = k2_lattices(A,C,B))))))))) # label(d16_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2301 (all A (-v3_struct_0(A) & v14_lattices(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k3_lattices(A,k6_lattices(A),B) = k6_lattices(A))))) # label(t44_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2302 $T # label(t1_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2303 (exists A (l1_lattices(A) & -v3_struct_0(A) & v1_lattices(A))) # label(rc5_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2304 (all A (l1_lattices(A) -> l1_struct_0(A))) # label(dt_l1_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2305 $T # label(t38_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2306 (all A (l3_lattices(A) -> (v15_lattices(A) & -v3_struct_0(A) -> -v3_struct_0(A) & v14_lattices(A) & v13_lattices(A)))) # label(cc4_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2307 (exists A (l3_lattices(A) & -v3_struct_0(A) & v5_lattices(A) & v6_lattices(A) & v11_lattices(A) & v13_lattices(A) & v15_lattices(A) & v17_lattices(A) & v16_lattices(A) & v14_lattices(A) & v10_lattices(A) & v9_lattices(A) & v8_lattices(A) & v7_lattices(A) & v4_lattices(A) & v3_lattices(A))) # label(rc13_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2308 (all A all B (v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C all D (g2_lattices(C,D) = g2_lattices(A,B) -> D = B & C = A)))) # label(free_g2_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2309 (all A (l3_lattices(A) & v17_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r3_lattices(A,B,C) -> r3_lattices(A,k7_lattices(A,C),k7_lattices(A,B))))))))) # label(t53_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2310 (all A (-v3_struct_0(A) & v8_lattices(A) & l3_lattices(A) & v9_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r1_lattices(A,B,C) <-> k2_lattices(A,B,C) = B))))))) # label(t21_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2311 $T # label(t5_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2312 (all A (l3_lattices(A) -> (v11_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> v4_lattices(A) & v5_lattices(A) & v7_lattices(A) & v8_lattices(A) & v12_lattices(A) & v10_lattices(A) & v9_lattices(A) & v6_lattices(A) & -v3_struct_0(A)))) # label(cc7_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2313 (all A (-v3_struct_0(A) & l1_lattices(A) -> m1_subset_1(k5_lattices(A),u1_struct_0(A)))) # label(dt_k5_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2314 (all A (-v3_struct_0(A) & l3_lattices(A) & v17_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k4_lattices(A,B,C) = k5_lattices(A) <-> r3_lattices(A,B,k7_lattices(A,C))))))))) # label(t52_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2315 $T # label(t14_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2316 (all A all B all C (v6_lattices(A) & l3_lattices(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & v9_lattices(A) & v8_lattices(A) & -v3_struct_0(A) -> r3_lattices(A,B,B))) # label(reflexivity_r3_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2317 (exists A (v3_lattices(A) & v4_lattices(A) & v5_lattices(A) & v8_lattices(A) & v14_lattices(A) & v15_lattices(A) & v16_lattices(A) & v13_lattices(A) & v10_lattices(A) & v9_lattices(A) & v7_lattices(A) & v6_lattices(A) & -v3_struct_0(A) & l3_lattices(A))) # label(rc12_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2318 (all A (-v3_struct_0(A) & v13_lattices(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r3_lattices(A,k5_lattices(A),B))))) # label(t41_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2319 (all A (l3_lattices(A) & -v3_struct_0(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> B = k2_lattices(A,B,k1_lattices(A,B,C)))))) <-> v9_lattices(A)))) # label(d9_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2320 $T # label(t11_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2321 $T # label(t24_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2322 (all A (l2_lattices(A) & -v3_struct_0(A) -> (v14_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (k6_lattices(A) = B <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_lattices(A,B,C) = B & k1_lattices(A,C,B) = B)))))))) # label(d17_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2323 (all A (l1_lattices(A) -> (v1_lattices(A) -> A = g1_lattices(u1_struct_0(A),u1_lattices(A))))) # label(abstractness_v1_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2324 $T # label(t42_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2325 (all A all B all C (m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l2_lattices(A) & v4_lattices(A) & -v3_struct_0(A) -> k3_lattices(A,C,B) = k3_lattices(A,B,C))) # label(commutativity_k3_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2326 (exists A (l3_lattices(A) & v5_lattices(A) & v7_lattices(A) & v9_lattices(A) & v11_lattices(A) & v14_lattices(A) & v13_lattices(A) & v12_lattices(A) & v10_lattices(A) & v8_lattices(A) & v6_lattices(A) & v4_lattices(A) & v3_lattices(A) & -v3_struct_0(A))) # label(rc10_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2327 (all A (v10_lattices(A) & v11_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k4_lattices(A,k4_lattices(A,k3_lattices(A,B,C),k3_lattices(A,C,D)),k3_lattices(A,D,B)) = k3_lattices(A,k3_lattices(A,k4_lattices(A,B,C),k4_lattices(A,C,D)),k4_lattices(A,D,B)))))))))) # label(t34_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2328 (all A (-v3_struct_0(A) & l2_lattices(A) -> (v5_lattices(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k1_lattices(A,k1_lattices(A,B,C),D) = k1_lattices(A,B,k1_lattices(A,C,D))))))))))) # label(d5_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2329 (all A (l1_lattices(A) -> v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_funct_1(u1_lattices(A)))) # label(dt_u1_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2330 (all A (l3_lattices(A) & -v3_struct_0(A) -> (v17_lattices(A) <-> v11_lattices(A) & v16_lattices(A) & v15_lattices(A)))) # label(d20_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2331 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v17_lattices(A) -> -v3_struct_0(A) & v11_lattices(A) & v16_lattices(A) & v15_lattices(A) & v14_lattices(A) & v13_lattices(A)))) # label(cc5_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2332 $T # label(t9_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2333 $T # label(t4_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2334 (all A (-v3_struct_0(A) & v4_lattices(A) & l2_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r1_lattices(A,C,B) & r1_lattices(A,B,C) -> C = B))))))) # label(t26_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2335 (all A (l3_lattices(A) -> l1_lattices(A) & l2_lattices(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2336 (all A (v10_lattices(A) & l3_lattices(A) & v17_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k7_lattices(A,k7_lattices(A,B)))))) # label(t49_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2337 (all A (l3_lattices(A) -> (v10_lattices(A) & -v3_struct_0(A) -> v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v4_lattices(A) & -v3_struct_0(A)))) # label(cc1_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2338 (all A (-v3_struct_0(A) & v13_lattices(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k3_lattices(A,k5_lattices(A),B) = B)))) # label(t39_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2339 $T # label(t7_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2340 $T # label(t13_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2341 $T # label(t2_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2342 (exists A l2_lattices(A)) # label(existence_l2_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2343 (all A all B all C (-v3_struct_0(A) & l2_lattices(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) -> m1_subset_1(k1_lattices(A,B,C),u1_struct_0(A)))) # label(dt_k1_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2344 $T # label(t6_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2345 (exists A (v3_lattices(A) & l3_lattices(A))) # label(rc3_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2346 (all A (v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r1_lattices(A,B,C) -> r1_lattices(A,k2_lattices(A,B,D),k2_lattices(A,C,D))))))))))) # label(t27_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2347 (all A all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) -> v2_lattices(g2_lattices(A,B)) & l2_lattices(g2_lattices(A,B)))) # label(dt_g2_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2348 $T # label(t20_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2349 (all A (-v3_struct_0(A) & l2_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_lattices(A,B,C) = k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u2_lattices(A),B,C))))))) # label(d1_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2350 (exists A (l1_lattices(A) & -v3_struct_0(A) & v7_lattices(A) & v6_lattices(A) & v1_lattices(A))) # label(rc8_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2351 (all A all B all C (-v3_struct_0(A) & v6_lattices(A) & l1_lattices(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) -> k2_lattices(A,B,C) = k4_lattices(A,B,C))) # label(redefinition_k4_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2352 (all A (-v3_struct_0(A) & v6_lattices(A) & v9_lattices(A) & l3_lattices(A) & v8_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k4_lattices(A,B,B))))) # label(t18_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2353 (all A (-v3_struct_0(A) & l3_lattices(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r1_lattices(A,B,D) -> k2_lattices(A,k1_lattices(A,B,C),D) = k1_lattices(A,B,k2_lattices(A,C,D))))))))) <-> v12_lattices(A)))) # label(d12_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2354 $T # label(t16_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2355 (all A (l2_lattices(A) -> m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_funct_1(u2_lattices(A)))) # label(dt_u2_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2356 (all A (l1_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_lattices(A),B,C) = k2_lattices(A,B,C))))))) # label(d2_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2357 (all A (-v3_struct_0(A) & v11_lattices(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (k4_lattices(A,B,C) = k4_lattices(A,B,D) & k3_lattices(A,B,D) = k3_lattices(A,B,C) -> C = D))))))))) # label(t32_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2358 (exists A (-v3_struct_0(A) & v2_lattices(A) & v5_lattices(A) & v4_lattices(A) & l2_lattices(A))) # label(rc7_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2359 (all A (-v3_struct_0(A) & v6_lattices(A) & v8_lattices(A) & v9_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k1_lattices(A,B,B))))) # label(t17_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2360 (exists A (l1_lattices(A) & v1_lattices(A))) # label(rc1_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2361 (all A all B all C (v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all D all E all F (g3_lattices(A,B,C) = g3_lattices(D,E,F) -> A = D & E = B & F = C)))) # label(free_g3_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2362 (all A all B (l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & -v3_struct_0(A) -> m1_subset_1(k7_lattices(A,B),u1_struct_0(A)))) # label(dt_k7_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2363 (all A all B (m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C all D (g1_lattices(C,D) = g1_lattices(A,B) -> B = D & A = C)))) # label(free_g1_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2364 (all A (l3_lattices(A) & -v3_struct_0(A) -> (v8_lattices(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_lattices(A,k2_lattices(A,B,C),C) = C))))))) # label(d8_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2365 (all A (-v3_struct_0(A) & l2_lattices(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_lattices(A,C,B) = k1_lattices(A,B,C))))) <-> v4_lattices(A)))) # label(d4_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2366 (all A (-v3_struct_0(A) & v14_lattices(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r3_lattices(A,B,k6_lattices(A)))))) # label(t45_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2367 $T # label(t28_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2368 (all A (-v3_struct_0(A) & l1_lattices(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k2_lattices(A,k2_lattices(A,B,C),D) = k2_lattices(A,B,k2_lattices(A,C,D)))))))) <-> v7_lattices(A)))) # label(d7_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2369 (all A (-v3_struct_0(A) & l2_lattices(A) -> (v14_lattices(A) <-> (exists B (m1_subset_1(B,u1_struct_0(A)) & (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_lattices(A,B,C) = B & k1_lattices(A,C,B) = B))))))) # label(d14_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2370 (all A (v10_lattices(A) & v11_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k3_lattices(A,B,k4_lattices(A,C,D)) = k4_lattices(A,k3_lattices(A,B,C),k3_lattices(A,B,D)))))))))) # label(t31_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2371 (all A (-v3_struct_0(A) & l2_lattices(A) & v5_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r1_lattices(A,C,D) & r1_lattices(A,B,C) -> r1_lattices(A,B,D)))))))))) # label(t25_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2372 (exists A (l2_lattices(A) & v2_lattices(A) & -v3_struct_0(A))) # label(rc4_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2373 (all A (-v3_struct_0(A) & l1_lattices(A) -> ((exists B (m1_subset_1(B,u1_struct_0(A)) & (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_lattices(A,C,B) = B & B = k2_lattices(A,B,C))))) <-> v13_lattices(A)))) # label(d13_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2374 $T # label(t46_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2375 (exists A (l3_lattices(A) & -v3_struct_0(A) & v6_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v7_lattices(A) & v5_lattices(A) & v4_lattices(A) & v3_lattices(A))) # label(rc9_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2376 (all A (l3_lattices(A) & v13_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k4_lattices(A,k5_lattices(A),B) = k5_lattices(A))))) # label(t40_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2377 (all A (l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_lattices(A,B,C) <-> k1_lattices(A,C,B) = k6_lattices(A) & k5_lattices(A) = k2_lattices(A,B,C) & k5_lattices(A) = k2_lattices(A,C,B) & k1_lattices(A,B,C) = k6_lattices(A)))))))) # label(d18_lattices) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2378 $T # label(t16_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2379 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_filter_0(B,A) -> (v10_lattices(A) & v3_filter_0(A) & l3_lattices(A) & -v3_struct_0(A) -> r8_relat_2(k10_filter_0(A,B),u1_struct_0(A))))))) # label(t83_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2380 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_filter_0(B,A) -> k3_filter_0(A,B) = B)))) # label(t26_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2381 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r3_lattices(A,B,C) & r3_lattices(A,D,C) -> r3_lattices(A,k3_lattices(A,B,D),C)))))))))) # label(t6_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2382 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> k1_filter_0(A) = u1_struct_0(A))) # label(d2_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2383 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (v10_lattices(A) & v13_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> k2_filter_0(A,k5_lattices(A)) = k1_filter_0(A)))) # label(t20_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2384 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (v10_lattices(A) & l3_lattices(A) & v3_filter_0(A) & -v3_struct_0(A) -> v1_partfun1(k10_filter_0(A,B),u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(k10_filter_0(A,B),u1_struct_0(A),u1_struct_0(A)) & v8_relat_2(k10_filter_0(A,B)) & v3_relat_2(k10_filter_0(A,B))))))) # label(t84_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2385 (all A (v3_filter_0(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_filter_0(E,A) -> (r2_hidden(k4_filter_0(A,B,C),E) & r2_hidden(k4_filter_0(A,C,D),E) -> r2_hidden(k4_filter_0(A,B,D),E)))))))))))) # label(t54_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2386 (all A (-v3_struct_0(A) & v3_lattices(A) & l3_lattices(A) & v10_lattices(A) -> A = k8_filter_0(A,k1_filter_0(A)))) # label(t62_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2387 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_0(B,A) -> (-v3_struct_0(A) & l3_lattices(A) & v3_filter_0(A) & v10_lattices(A) -> v3_filter_0(k8_filter_0(A,B))))))) # label(t69_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2388 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_0(B,A) -> (v12_lattices(A) -> v12_lattices(k8_filter_0(A,B))))))) # label(t67_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2389 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (m1_filter_0(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(C,B) & r2_hidden(D,B) <-> r2_hidden(k4_lattices(A,C,D),B))))))))))) # label(d1_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2390 (all A all B (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & m1_filter_0(B,A) & l3_lattices(A) -> k12_filter_0(A,B) = k10_filter_0(A,B))) # label(redefinition_k12_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2391 $T # label(t25_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2392 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> m1_filter_0(k1_filter_0(A),A))) # label(dt_k1_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2393 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (r3_lattices(A,D,E) & r3_lattices(A,B,C) -> r3_lattices(A,k3_lattices(A,B,D),k3_lattices(A,C,E)) & r3_lattices(A,k3_lattices(A,B,D),k3_lattices(A,E,C))))))))))))) # label(t4_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2394 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> m1_filter_0(u1_struct_0(A),A))) # label(t15_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2395 (all A all B (m1_filter_0(B,A) & l3_lattices(A) & v3_filter_0(A) & v10_lattices(A) & -v3_struct_0(A) -> k11_filter_0(A,B) = k10_filter_0(A,B))) # label(redefinition_k11_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2396 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (v1_filter_0(B,A) <-> (all C (m1_filter_0(C,A) -> (r1_tarski(B,C) -> C = u1_struct_0(A) | C = B))) & B != u1_struct_0(A)))))) # label(d4_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2397 (all A (v10_lattices(A) & v17_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r3_lattices(A,B,C) <-> k5_lattices(A) = k4_lattices(A,B,k7_lattices(A,C))))))))) # label(t56_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.01	2398 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r3_lattices(A,B,C) -> r3_lattices(A,k4_lattices(A,D,B),C) & r3_lattices(A,k4_lattices(A,B,D),C)))))))))) # label(t2_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2399 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (-v3_struct_0(A) & v10_lattices(A) & r2_hidden(k5_lattices(A),B) & l3_lattices(A) & v13_lattices(A) -> k3_filter_0(A,B) = u1_struct_0(A) & k1_filter_0(A) = k3_filter_0(A,B)))))) # label(t31_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2400 (all A all B (v10_lattices(A) & m1_filter_0(B,A) & l3_lattices(A) & v17_lattices(A) & -v3_struct_0(A) -> v1_partfun1(k12_filter_0(A,B),u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(k12_filter_0(A,B),u1_struct_0(A),u1_struct_0(A)) & v8_relat_2(k12_filter_0(A,B)) & v3_relat_2(k12_filter_0(A,B)))) # label(dt_k12_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2401 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k2_filter_0(A,B) = a_2_0_filter_0(A,B))))) # label(d3_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2402 (all A all B (-v3_struct_0(A) & v3_filter_0(A) & l3_lattices(A) & m1_filter_0(B,A) & v10_lattices(A) -> v1_partfun1(k11_filter_0(A,B),u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(k11_filter_0(A,B),u1_struct_0(A),u1_struct_0(A)) & v8_relat_2(k11_filter_0(A,B)) & v3_relat_2(k11_filter_0(A,B)))) # label(dt_k11_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2403 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_filter_0(B,A) -> (all C (m1_filter_0(C,A) -> k3_filter_0(A,k4_subset_1(u1_struct_0(A),B,C)) = a_3_1_filter_0(A,B,C))))))) # label(t48_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2404 (all A all B (v10_lattices(A) & l3_lattices(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v3_struct_0(A) -> m1_filter_0(k3_filter_0(A,B),A))) # label(dt_k3_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2405 (all A (l3_lattices(A) & v3_filter_0(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_filter_0(D,A) -> (r2_hidden(k4_filter_0(A,B,C),D) & r2_hidden(B,D) -> r2_hidden(C,D)))))))))) # label(t41_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2406 (all A (-v3_struct_0(A) & v3_filter_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_filter_0(B,A) -> (all C (m1_filter_0(C,A) -> k6_filter_0(A,B,C) = k3_filter_0(A,k4_subset_1(u1_struct_0(A),B,C)))))))) # label(t51_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2407 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (v14_lattices(A) -> v14_lattices(k8_filter_0(A,B))))))) # label(t66_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2408 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (r3_lattices(A,D,E) & r3_lattices(A,B,C) -> r3_lattices(A,k4_lattices(A,B,D),k4_lattices(A,C,E)) & r3_lattices(A,k4_lattices(A,B,D),k4_lattices(A,E,C))))))))))))) # label(t5_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2409 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v14_lattices(A) -> k6_lattices(k8_filter_0(A,k2_filter_0(A,B))) = k6_lattices(A)))))) # label(t72_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2410 (all A all B (-v3_struct_0(A) & m1_filter_0(B,A) & l3_lattices(A) & v10_lattices(A) -> -v3_struct_0(k8_filter_0(A,B)) & v10_lattices(k8_filter_0(A,B)) & l3_lattices(k8_filter_0(A,B)))) # label(dt_k8_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2411 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> v13_lattices(k8_filter_0(A,k2_filter_0(A,B))))))) # label(t70_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2412 (all A (v17_lattices(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> -(B != C & (all D (m1_filter_0(D,A) -> -(v1_filter_0(D,A) & (-r2_hidden(B,D) & r2_hidden(C,D) | -r2_hidden(C,D) & r2_hidden(B,D)))))))))))) # label(t60_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2413 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) -> k5_filter_0(A,C,B) = k5_filter_0(A,B,C))))))) # label(t46_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2414 $T # label(t8_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2415 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (all C (v1_relat_1(C) -> (k10_filter_0(A,B) = C <-> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (r2_hidden(k1_domain_1(u1_struct_0(A),u1_struct_0(A),D,E),C) <-> r2_hidden(k9_filter_0(A,D,E),B)))))) & r1_tarski(k3_relat_1(C),u1_struct_0(A))))))))) # label(d12_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2416 (all A (v3_filter_0(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> v11_lattices(A))) # label(t39_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2417 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (exists B m1_filter_0(B,A)))) # label(existence_m1_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2418 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (v13_lattices(A) -> (all B (m1_filter_0(B,A) -> -(B != u1_struct_0(A) & (all C (m1_filter_0(C,A) -> -(v1_filter_0(C,A) & r1_tarski(B,C)))))))))) # label(t22_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2419 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(D) -> -((all E (m1_subset_1(E,u1_struct_0(A)) -> (all F (m1_subset_1(F,u1_struct_0(A)) -> -(B = k4_lattices(A,E,F) & r2_hidden(E,C) & r2_hidden(F,D)))))) & r2_hidden(B,k5_filter_0(A,C,D))))))))) # label(t45_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2420 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_0(B,A) -> (all C (m1_filter_0(C,A) -> k3_filter_0(A,k5_filter_0(A,B,C)) = k3_filter_0(A,k4_subset_1(u1_struct_0(A),B,C)))))))) # label(t50_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2421 (all A (-v3_struct_0(A) & v17_lattices(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_filter_0(B,A) -> (all C (v3_filter_0(C) & l3_lattices(C) & v10_lattices(C) & -v3_struct_0(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (all E (m1_subset_1(E,u1_struct_0(C)) -> (all F (m1_subset_1(F,u1_struct_0(C)) -> (all G (m1_filter_0(G,C) -> (all H (m1_subset_1(H,u1_struct_0(A)) -> (all I (m1_subset_1(I,u1_struct_0(A)) -> (all J (m1_subset_1(J,u1_struct_0(A)) -> (r1_filter_0(A,B,I,J) & r1_filter_0(A,B,H,I) -> r1_filter_0(A,B,H,J)) & (r1_filter_0(C,G,E,F) & r1_filter_0(C,G,D,E) -> r1_filter_0(C,G,D,F)))))))))))))))))))))) # label(t90_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2422 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (v11_lattices(A) -> v11_lattices(k8_filter_0(A,B))))))) # label(t68_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2423 $T # label(t36_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2424 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_filter_0(B,A) -> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B))))) # label(dt_m1_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2425 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (all C (m1_filter_0(C,A) -> ((all D (m1_filter_0(D,A) -> (r1_tarski(B,D) -> r1_tarski(C,D)))) & r1_tarski(B,C) <-> C = k3_filter_0(A,B)))))))) # label(d5_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2426 (all A (-v3_struct_0(A) & v10_lattices(A) & v3_filter_0(A) & l3_lattices(A) -> v14_lattices(A))) # label(t37_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2427 $T # label(t79_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2428 (all A (-v3_struct_0(A) & v10_lattices(A) & v3_filter_0(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (-v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(B,k3_filter_0(A,k4_subset_1(u1_struct_0(A),D,k6_domain_1(u1_struct_0(A),C)))) -> r2_hidden(k4_filter_0(A,C,B),k3_filter_0(A,D))))))))))) # label(t53_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2429 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> r2_hidden(B,k2_filter_0(A,B)) & r2_hidden(k3_lattices(A,C,B),k2_filter_0(A,B)) & r2_hidden(k3_lattices(A,B,C),k2_filter_0(A,B)))))))) # label(t19_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2430 (all A all B all C all D (-v3_struct_0(B) & m1_filter_0(C,B) & m1_filter_0(D,B) & l3_lattices(B) & v10_lattices(B) -> ((exists E ((exists F ((exists G (m1_subset_1(G,u1_struct_0(B)) & r2_hidden(G,D) & r2_hidden(F,C) & r3_lattices(B,k4_lattices(B,F,G),E))) & m1_subset_1(F,u1_struct_0(B)))) & A = E & m1_subset_1(E,u1_struct_0(B)))) <-> r2_hidden(A,a_3_1_filter_0(B,C,D))))) # label(fraenkel_a_3_1_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2431 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> r3_relat_2(k10_filter_0(A,B),u1_struct_0(A)))))) # label(t82_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2432 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k5_lattices(k8_filter_0(A,k2_filter_0(A,B))))))) # label(t71_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2433 (all A (v10_lattices(A) & v17_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (u1_struct_0(A) != B & (all C (m1_subset_1(C,u1_struct_0(A)) -> r2_hidden(k7_lattices(A,C),B) | r2_hidden(C,B))) <-> v1_filter_0(B,A)))))) # label(t57_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2434 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_filter_0(D,A) -> (r2_hidden(k1_domain_1(u1_struct_0(A),u1_struct_0(A),B,C),k10_filter_0(A,D)) <-> r1_filter_0(A,D,B,C)))))))))) # label(t87_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2435 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> m2_relset_1(k10_filter_0(A,B),u1_struct_0(A),u1_struct_0(A)))))) # label(t80_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2436 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v17_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k3_lattices(A,k7_lattices(A,B),C) = k4_filter_0(A,B,C))))))) # label(t55_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2437 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (-v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (-v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(B,D) & r2_hidden(C,E) -> r2_hidden(k4_lattices(A,C,B),k5_filter_0(A,D,E)) & r2_hidden(k4_lattices(A,B,C),k5_filter_0(A,D,E))))))))))))) # label(t44_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2438 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_0(B,A) -> k1_realset1(u1_lattices(A),B) = u1_lattices(k8_filter_0(A,B)) & k1_realset1(u2_lattices(A),B) = u2_lattices(k8_filter_0(A,B)) & B = u1_struct_0(k8_filter_0(A,B)))))) # label(t63_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2439 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k4_lattices(A,k4_filter_0(A,B,C),k4_filter_0(A,C,B)) = k9_filter_0(A,B,C))))))) # label(d11_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2440 (all A (l3_lattices(A) & -v3_struct_0(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (exists D (r1_lattices(A,k2_lattices(A,B,D),C) & (all E (m1_subset_1(E,u1_struct_0(A)) -> (r1_lattices(A,k2_lattices(A,B,E),C) -> r1_lattices(A,E,D)))) & m1_subset_1(D,u1_struct_0(A)))))))) <-> v3_filter_0(A)))) # label(d7_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2441 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v14_lattices(A) -> m1_filter_0(k6_domain_1(u1_struct_0(A),k6_lattices(A)),A)))) # label(t13_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2442 $T # label(t43_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2443 (all A (v10_lattices(A) & v17_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (v1_filter_0(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (-r2_hidden(k7_lattices(A,C),B) <-> r2_hidden(C,B))))))))) # label(t59_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2444 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (all C (m1_filter_0(C,A) -> r1_tarski(B,k5_filter_0(A,B,C)) & r1_tarski(C,k5_filter_0(A,B,C)))))))) # label(t49_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2445 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (l3_lattices(A) & v14_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> v15_lattices(k8_filter_0(A,k2_filter_0(A,B)))))))) # label(t73_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2446 $T # label(t61_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2447 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_filter_0(B,A) -> (exists C (r2_hidden(C,B) & m1_subset_1(C,u1_struct_0(A)))))))) # label(t11_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2448 (all A (l3_lattices(A) & v3_filter_0(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_filter_0(D,A) -> (r2_hidden(B,D) -> r2_hidden(k4_filter_0(A,C,B),D)))))))))) # label(t42_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2449 (all A all B all C (m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> m1_subset_1(k9_filter_0(A,B,C),u1_struct_0(A)))) # label(dt_k9_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2450 $T # label(t17_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2451 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k3_filter_0(A,k4_subset_1(u1_struct_0(A),k3_filter_0(A,B),C)) = k3_filter_0(A,k4_subset_1(u1_struct_0(A),B,C)) & k3_filter_0(A,k4_subset_1(u1_struct_0(A),B,k3_filter_0(A,C))) = k3_filter_0(A,k4_subset_1(u1_struct_0(A),B,C)))))))) # label(t47_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2452 (all A all B all C (-v3_struct_0(A) & v10_lattices(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & l3_lattices(A) -> m1_subset_1(k5_filter_0(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k5_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2453 (all A (-v3_struct_0(A) & v17_lattices(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_filter_0(B,A) -> (all C (l3_lattices(C) & v3_filter_0(C) & v10_lattices(C) & -v3_struct_0(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (all E (m1_filter_0(E,C) -> (all F (m1_subset_1(F,u1_struct_0(A)) -> r1_filter_0(A,B,F,F) & r1_filter_0(C,E,D,D))))))))))))) # label(t88_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2454 $T # label(t35_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2455 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_filter_0(D,A) -> (all E (m1_subset_1(E,u1_struct_0(k8_filter_0(A,D))) -> (all F (m1_subset_1(F,u1_struct_0(k8_filter_0(A,D))) -> (F = C & E = B -> k3_lattices(A,B,C) = k3_lattices(k8_filter_0(A,D),E,F) & k4_lattices(A,B,C) = k4_lattices(k8_filter_0(A,D),E,F)))))))))))))) # label(t64_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2456 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_filter_0(D,A) -> (all E (m1_subset_1(E,u1_struct_0(k8_filter_0(A,D))) -> (all F (m1_subset_1(F,u1_struct_0(k8_filter_0(A,D))) -> (C = F & E = B -> (r3_lattices(k8_filter_0(A,D),E,F) <-> r3_lattices(A,B,C))))))))))))))) # label(t65_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2457 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (v10_lattices(A) & v3_filter_0(A) & l3_lattices(A) & -v3_struct_0(A) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> ((all E (m1_subset_1(E,u1_struct_0(A)) -> (r3_lattices(A,k4_lattices(A,B,E),C) -> r3_lattices(A,E,D)))) & r3_lattices(A,k4_lattices(A,B,D),C) <-> k4_filter_0(A,B,C) = D)))))))))) # label(d8_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2458 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r3_lattices(A,B,C) -> r3_lattices(A,B,k3_lattices(A,D,C)) & r3_lattices(A,B,k3_lattices(A,C,D))))))))))) # label(t3_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2459 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_filter_0(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r1_filter_0(A,B,C,D) <-> r2_hidden(k9_filter_0(A,C,D),B)))))))))) # label(d13_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2460 $T # label(t86_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2461 (all A (v10_lattices(A) & l3_lattices(A) & v3_filter_0(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k6_lattices(A) = k4_filter_0(A,B,B))))) # label(t38_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2462 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) -> (r2_hidden(B,C) -> r1_tarski(k2_filter_0(A,B),k3_filter_0(A,C))))))))) # label(t29_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2463 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k5_filter_0(A,B,C) = a_3_0_filter_0(A,B,C))))))) # label(d9_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2464 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (v3_filter_0(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> k3_relat_1(k10_filter_0(A,B)) = u1_struct_0(A)))))) # label(t85_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2465 (all A all B all C (-v3_struct_0(A) & m1_filter_0(B,A) & m1_filter_0(C,A) & l3_lattices(A) & v11_lattices(A) & v10_lattices(A) -> k5_filter_0(A,B,C) = k6_filter_0(A,B,C))) # label(redefinition_k6_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2466 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,B) | r2_hidden(C,B) <-> r2_hidden(k3_lattices(A,C,D),B)))))) <-> v2_filter_0(B,A)))))) # label(d6_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2467 (all A all B all C (l3_lattices(A) & m1_filter_0(B,A) & m1_filter_0(C,A) & v11_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> m1_filter_0(k6_filter_0(A,B,C),A))) # label(dt_k6_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2468 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (all C (l3_lattices(C) & v10_lattices(C) & -v3_struct_0(C) -> ((exists D (v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & (exists E (v1_funct_1(E) & E = k1_realset1(u1_lattices(A),B) & C = g3_lattices(B,D,E) & k1_realset1(u2_lattices(A),B) = D & m2_relset_1(E,k2_zfmisc_1(B,B),B) & v1_funct_2(E,k2_zfmisc_1(B,B),B))) & m2_relset_1(D,k2_zfmisc_1(B,B),B))) <-> C = k8_filter_0(A,B)))))))) # label(d10_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2469 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (m1_filter_0(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,B) & r2_hidden(C,B) -> r2_hidden(k4_lattices(A,C,D),B)))))) & (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(C,B) & r3_lattices(A,C,D) -> r2_hidden(D,B))))))))))) # label(t9_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2470 (all A all B all C all D (-v3_struct_0(B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & -v1_xboole_0(D) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & -v1_xboole_0(C) & l3_lattices(B) & v10_lattices(B) -> ((exists E exists F (m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & r2_hidden(E,C) & r2_hidden(F,D) & k4_lattices(B,E,F) = A)) <-> r2_hidden(A,a_3_0_filter_0(B,C,D))))) # label(fraenkel_a_3_0_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2471 (all A (-v3_struct_0(A) & v17_lattices(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_filter_0(B,A) -> (v2_filter_0(B,A) & k1_filter_0(A) != B <-> v1_filter_0(B,A)))))) # label(t58_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2472 (all A all B all C (-v3_struct_0(B) & m1_subset_1(C,u1_struct_0(B)) & l3_lattices(B) & v10_lattices(B) -> (r2_hidden(A,a_2_0_filter_0(B,C)) <-> (exists D (A = D & r3_lattices(B,C,D) & m1_subset_1(D,u1_struct_0(B))))))) # label(fraenkel_a_2_0_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2473 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(B,k2_filter_0(A,C)) <-> r3_lattices(A,C,B)))))))) # label(t18_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2474 (all A (-v3_struct_0(A) & v17_lattices(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_filter_0(B,A) -> (all C (m1_filter_0(C,A) -> k3_filter_0(A,k4_subset_1(u1_struct_0(A),B,C)) = k7_filter_0(A,B,C))))))) # label(t52_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2475 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k9_filter_0(A,C,B) = k9_filter_0(A,B,C))))))) # label(t77_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2476 (all A all B all C (m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> m1_subset_1(k4_filter_0(A,B,C),u1_struct_0(A)))) # label(dt_k4_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2477 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r3_lattices(A,B,D) & r3_lattices(A,B,C) -> r3_lattices(A,B,k4_lattices(A,C,D))))))))))) # label(t7_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2478 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v10_lattices(A) & v3_filter_0(A) -> v6_lattices(A) & v10_lattices(A) & v11_lattices(A) & v12_lattices(A) & v9_lattices(A) & v8_lattices(A) & v7_lattices(A) & v5_lattices(A) & v4_lattices(A) & -v3_struct_0(A)))) # label(cc1_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2479 (all A all B (-v3_struct_0(A) & l3_lattices(A) & m1_filter_0(B,A) & v10_lattices(A) -> -v3_struct_0(k8_filter_0(A,B)) & v3_lattices(k8_filter_0(A,B)) & v7_lattices(k8_filter_0(A,B)) & v8_lattices(k8_filter_0(A,B)) & v10_lattices(k8_filter_0(A,B)) & v9_lattices(k8_filter_0(A,B)) & v6_lattices(k8_filter_0(A,B)) & v5_lattices(k8_filter_0(A,B)) & v4_lattices(k8_filter_0(A,B)))) # label(fc2_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2480 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) -> (C = k6_domain_1(u1_struct_0(A),B) -> k2_filter_0(A,B) = k3_filter_0(A,C)))))))) # label(t30_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2481 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> -(k2_filter_0(A,B) = u1_struct_0(A) & -(all C (m1_subset_1(C,u1_struct_0(A)) -> k4_lattices(A,B,C) = B))))))) # label(t23_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2482 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r3_lattices(A,B,C) -> r3_lattices(A,k3_lattices(A,D,B),k3_lattices(A,D,C)) & r3_lattices(A,k3_lattices(A,D,B),k3_lattices(A,C,D)) & r3_lattices(A,k3_lattices(A,B,D),k3_lattices(A,D,C)) & r3_lattices(A,k3_lattices(A,B,D),k3_lattices(A,C,D))))))))))) # label(t1_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2483 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (m1_filter_0(k6_domain_1(u1_struct_0(A),B),A) -> v14_lattices(A)))))) # label(t14_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2484 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (l3_lattices(A) & v17_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> -v3_struct_0(k8_filter_0(A,k2_filter_0(A,B))) & v10_lattices(k8_filter_0(A,k2_filter_0(A,B))) & l3_lattices(k8_filter_0(A,k2_filter_0(A,B))) & v17_lattices(k8_filter_0(A,k2_filter_0(A,B)))))))) # label(t75_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2485 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_filter_0(D,A) -> (r2_hidden(B,D) -> r2_hidden(k3_lattices(A,B,C),D) & r2_hidden(k3_lattices(A,C,B),D)))))))))) # label(t10_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2486 (all A (v10_lattices(A) & l3_lattices(A) & v17_lattices(A) & -v3_struct_0(A) -> v3_filter_0(A))) # label(t40_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2487 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (v17_lattices(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> r3_lattices(A,k4_lattices(A,B,k3_lattices(A,k7_lattices(A,B),C)),C) & (all D (m1_subset_1(D,u1_struct_0(A)) -> (r3_lattices(A,k4_lattices(A,B,D),C) -> r3_lattices(A,D,k3_lattices(A,k7_lattices(A,B),C)))))))))))) # label(t34_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2488 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(B,C) -> r1_tarski(k3_filter_0(A,B),k3_filter_0(A,C))))))))) # label(t27_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.02	2489 (exists A (v3_lattices(A) & v4_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v3_filter_0(A) & v10_lattices(A) & v5_lattices(A) & -v3_struct_0(A) & l3_lattices(A))) # label(rc1_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2490 $T # label(t21_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2491 $T # label(t28_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2492 (all A all B all C (v10_lattices(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) & l3_lattices(A) & -v3_struct_0(A) -> -v1_xboole_0(k5_filter_0(A,B,C)))) # label(fc1_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2493 (all A all B all C (-v3_struct_0(A) & m1_filter_0(C,A) & m1_filter_0(B,A) & l3_lattices(A) & v17_lattices(A) & v10_lattices(A) -> k5_filter_0(A,B,C) = k7_filter_0(A,B,C))) # label(redefinition_k7_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2494 (all A all B (-v3_struct_0(A) & l3_lattices(A) & m1_filter_0(B,A) & v10_lattices(A) -> v1_relat_1(k10_filter_0(A,B)))) # label(dt_k10_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2495 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (v14_lattices(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> r2_hidden(k6_lattices(A),B)))))) # label(t12_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2496 (all A all B (-v3_struct_0(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & v10_lattices(A) -> m1_filter_0(k2_filter_0(A,B),A))) # label(dt_k2_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2497 (all A (-v3_struct_0(A) & v3_filter_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_filter_0(E,A) -> (r2_hidden(k9_filter_0(A,B,C),E) & r2_hidden(k9_filter_0(A,C,D),E) -> r2_hidden(k9_filter_0(A,B,D),E)))))))))))) # label(t78_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2498 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> -(-v3_struct_0(A) & B != k5_lattices(A) & (all C (m1_filter_0(C,A) -> -(r2_hidden(B,C) & v1_filter_0(C,A)))) & l3_lattices(A) & v13_lattices(A) & v10_lattices(A)))))) # label(t24_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2499 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (v10_lattices(A) & v3_filter_0(A) & l3_lattices(A) & -v3_struct_0(A) -> r1_relat_2(k10_filter_0(A,B),u1_struct_0(A))))))) # label(t81_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2500 $T # label(t76_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2501 (all A all B all C (v10_lattices(A) & v17_lattices(A) & m1_filter_0(B,A) & m1_filter_0(C,A) & l3_lattices(A) & -v3_struct_0(A) -> m1_filter_0(k7_filter_0(A,B,C),A))) # label(dt_k7_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2502 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_filter_0(D,A) -> (r1_filter_0(A,D,B,C) -> r1_filter_0(A,D,C,B)))))))))) # label(t89_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2503 $T # label(t33_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2504 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (-v3_struct_0(A) & v10_lattices(A) & v13_lattices(A) & r2_hidden(k5_lattices(A),B) & l3_lattices(A) -> B = k1_filter_0(A) & u1_struct_0(A) = B))))) # label(t32_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2505 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v15_lattices(A) & -v3_struct_0(A) & l3_lattices(A) & v12_lattices(A) & v10_lattices(A) & l3_lattices(A) & v16_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> -v3_struct_0(k8_filter_0(A,k2_filter_0(A,B))) & v15_lattices(k8_filter_0(A,k2_filter_0(A,B))) & l3_lattices(k8_filter_0(A,k2_filter_0(A,B))) & v16_lattices(k8_filter_0(A,k2_filter_0(A,B))) & v10_lattices(k8_filter_0(A,k2_filter_0(A,B)))))))) # label(t74_filter_0) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2506 (all A (-v1_xboole_0(A) -> (all B (v1_funct_2(B,k2_zfmisc_1(A,A),A) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C (v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> ((all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> D = k2_binop_1(A,A,A,B,D,k2_binop_1(A,A,A,C,D,E)))))) <-> r1_lattice2(A,B,C)))))))) # label(d1_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2507 (all A (-v1_xboole_0(A) -> (all B (l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k5_finsub_1(A)) -> (all D (m2_relset_1(D,A,u1_struct_0(B)) & v1_funct_2(D,A,u1_struct_0(B)) & v1_funct_1(D) -> (all E (m2_relset_1(E,A,u1_struct_0(k1_lattice2(B))) & v1_funct_2(E,A,u1_struct_0(k1_lattice2(B))) & v1_funct_1(E) -> (D = E -> k2_lattice2(A,B,C,D) = k3_lattice2(A,k1_lattice2(B),C,E) & k2_lattice2(A,k1_lattice2(B),C,E) = k3_lattice2(A,B,C,D)))))))))))) # label(t51_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2508 (all A (-v3_struct_0(A) & l3_lattices(A) -> u2_lattices(A) = u1_lattices(k1_lattice2(A)) & u1_lattices(A) = u2_lattices(k1_lattice2(A)) & u1_struct_0(A) = u1_struct_0(k1_lattice2(A)))) # label(t18_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2509 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,k5_finsub_1(C)) -> (all E (v1_funct_1(E) & v1_funct_2(E,C,u1_struct_0(A)) & m2_relset_1(E,C,u1_struct_0(A)) -> (r3_lattices(A,B,k3_lattice2(C,A,D,E)) -> (all F (m1_subset_1(F,C) -> (r2_hidden(F,D) -> r3_lattices(A,B,k8_funct_2(C,u1_struct_0(A),E,F)))))))))))))))) # label(t59_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2510 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (v10_lattices(A) & l3_lattices(A) & v11_lattices(A) & -v3_struct_0(A) -> r6_binop_1(u1_struct_0(A),u1_lattices(A),u2_lattices(A))))) # label(t37_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2511 (all A all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) -> (all D (m1_subset_1(D,k5_finsub_1(A)) -> D = k1_relat_1(k2_partfun1(A,B,C,D)))))))) # label(t13_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2512 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(A)) -> (all C (-v3_struct_0(C) & v14_lattices(C) & l3_lattices(C) & v10_lattices(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(C)) & m2_relset_1(D,A,u1_struct_0(C)) -> (all E (m1_subset_1(E,u1_struct_0(C)) -> ((all F (m1_subset_1(F,A) -> (r2_hidden(F,B) -> r3_lattices(C,E,k8_funct_2(A,u1_struct_0(C),D,F))))) -> r3_lattices(C,E,k3_lattice2(A,C,B,D))))))))))))) # label(t76_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2513 (all A (-v3_struct_0(A) & v14_lattices(A) & l3_lattices(A) & v10_lattices(A) -> v1_setwiseo(u1_lattices(A),u1_struct_0(A)))) # label(t73_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2514 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,k5_finsub_1(C)) -> (all E (v1_funct_1(E) & m2_relset_1(E,C,u1_struct_0(A)) & v1_funct_2(E,C,u1_struct_0(A)) -> (r3_lattices(A,k2_lattice2(C,A,D,E),B) -> (all F (m1_subset_1(F,C) -> (r2_hidden(F,D) -> r3_lattices(A,k8_funct_2(C,u1_struct_0(A),E,F),B))))))))))))))) # label(t46_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2515 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (r6_binop_1(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) -> v11_lattices(A)))) # label(t36_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2516 (all A (l3_lattices(A) -> k1_lattice2(A) = g3_lattices(u1_struct_0(A),u1_lattices(A),u2_lattices(A)))) # label(d2_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2517 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v6_group_1(A) & v10_lattices(A) -> v4_lattices(A) & v7_lattices(A) & v10_lattices(A) & v13_lattices(A) & v9_lattices(A) & v8_lattices(A) & v6_lattices(A) & v5_lattices(A) & -v3_struct_0(A)))) # label(cc3_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2518 (all A all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D) -> D = k1_funct_4(D,k2_partfun1(A,B,D,C)))))))) # label(t9_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2519 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v1_lattice2(A) & v10_lattices(A) -> v6_lattices(A) & v3_filter_0(A) & v13_lattices(A) & v10_lattices(A) & v9_lattices(A) & v8_lattices(A) & v7_lattices(A) & v5_lattices(A) & v4_lattices(A) & -v3_struct_0(A)))) # label(cc1_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2520 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u2_lattices(A),B,C) = C)) -> k5_lattices(A) = B))))) # label(t22_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2521 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> k4_lattices(A,B,C) = C)) -> B = k6_lattices(A)))))) # label(t24_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2522 (all A (-v3_struct_0(A) & l3_lattices(A) -> (v1_binop_1(u2_lattices(A),u1_struct_0(A)) & v1_binop_1(u1_lattices(A),u1_struct_0(A)) & r1_lattice2(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) & r1_lattice2(u1_struct_0(A),u1_lattices(A),u2_lattices(A)) & v2_binop_1(u1_lattices(A),u1_struct_0(A)) & v2_binop_1(u2_lattices(A),u1_struct_0(A)) -> v10_lattices(A)))) # label(t17_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2523 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> v3_binop_1(u2_lattices(A),u1_struct_0(A)))) # label(t26_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2524 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(A)) -> (all C (v10_lattices(C) & l3_lattices(C) & v13_lattices(C) & v11_lattices(C) & -v3_struct_0(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(C)) & m2_relset_1(D,A,u1_struct_0(C)) -> (all E (m1_subset_1(E,u1_struct_0(C)) -> k2_binop_1(u1_struct_0(C),u1_struct_0(C),u1_struct_0(C),u1_lattices(C),E,k2_lattice2(A,C,B,D)) = k2_lattice2(A,C,B,k8_funcop_1(u1_struct_0(C),A,u1_lattices(C),E,D)))))))))))) # label(t81_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2525 (all A all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,A,B) & m2_relset_1(C,A,B) -> (all D (m2_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) -> (all E (m1_subset_1(E,k5_finsub_1(A)) -> (k2_partfun1(A,B,C,E) = k2_partfun1(A,B,D,E) -> k2_funct_2(A,B,D,E) = k2_funct_2(A,B,C,E)))))))))) # label(t16_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2526 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> r6_binop_1(u1_struct_0(A),u1_lattices(A),u1_lattices(A)))) # label(t39_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2527 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_lattices(A),B,C) = C)) -> k6_lattices(A) = B))))) # label(t25_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2528 (all A all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) -> (all D (v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D) -> (all E (v1_funct_1(k1_funct_4(C,k2_partfun1(A,B,D,E))) & v1_funct_2(k1_funct_4(C,k2_partfun1(A,B,D,E)),A,B) & m2_relset_1(k1_funct_4(C,k2_partfun1(A,B,D,E)),A,B))))))))) # label(t6_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2529 (all A all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> (all E (v1_funct_2(E,A,B) & m2_relset_1(E,A,B) & v1_funct_1(E) -> (k2_partfun1(A,B,D,C) = k2_partfun1(A,B,E,C) <-> (all F (m1_subset_1(F,A) -> (r2_hidden(F,C) -> k1_funct_1(D,F) = k1_funct_1(E,F))))))))))))) # label(t5_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2530 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(k1_lattice2(A))) -> (all E (m1_subset_1(E,u1_struct_0(k1_lattice2(A))) -> (C = E & D = B & r3_lattices(k1_lattice2(A),D,E) -> r3_lattices(A,C,B)))))))))))) # label(t54_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2531 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v6_group_1(A) & v10_lattices(A) & v11_lattices(A) -> v4_lattices(A) & v5_lattices(A) & v8_lattices(A) & v9_lattices(A) & v13_lattices(A) & v3_filter_0(A) & v1_lattice2(A) & v10_lattices(A) & v7_lattices(A) & v6_lattices(A) & -v3_struct_0(A)))) # label(cc6_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2532 (all A (-v3_struct_0(A) & v3_lattices(A) & l3_lattices(A) -> A = k1_lattice2(k1_lattice2(A)))) # label(t19_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2533 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_tarski(B,A) -> k1_funct_4(A,B) = A))))) # label(t8_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2534 (all A (-v3_struct_0(A) & l1_lattices(A) & v6_lattices(A) -> v1_binop_1(u1_lattices(A),u1_struct_0(A)))) # label(t31_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2535 (all A (-v3_struct_0(A) & v6_lattices(A) & l1_lattices(A) -> v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_binop_1(u1_lattices(A),u1_struct_0(A)) & v1_funct_1(u1_lattices(A)) & v1_relat_1(u1_lattices(A)))) # label(fc4_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2536 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,k5_finsub_1(C)) -> (all E (v1_funct_2(E,C,u1_struct_0(A)) & m2_relset_1(E,C,u1_struct_0(A)) & v1_funct_1(E) -> ((exists F (r3_lattices(A,B,k8_funct_2(C,u1_struct_0(A),E,F)) & r2_hidden(F,D) & m1_subset_1(F,C))) -> r3_lattices(A,B,k2_lattice2(C,A,D,E))))))))))))) # label(t44_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2537 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> v3_binop_1(u1_lattices(A),u1_struct_0(A)))) # label(t30_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2538 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(A)) -> (all C (l3_lattices(C) & v13_lattices(C) & v10_lattices(C) & -v3_struct_0(C) -> (all D (v1_funct_2(D,A,u1_struct_0(C)) & m2_relset_1(D,A,u1_struct_0(C)) & v1_funct_1(D) -> (all E (v1_funct_2(E,A,u1_struct_0(C)) & m2_relset_1(E,A,u1_struct_0(C)) & v1_funct_1(E) -> (k2_partfun1(A,u1_struct_0(C),E,B) = k2_partfun1(A,u1_struct_0(C),D,B) -> k2_lattice2(A,C,B,D) = k2_lattice2(A,C,B,E)))))))))))) # label(t69_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2539 (all A (-v1_xboole_0(A) -> (all B (-v3_struct_0(B) & l3_lattices(B) & v10_lattices(B) -> (all C (m1_subset_1(C,k5_finsub_1(A)) -> (all D (v1_funct_2(D,A,u1_struct_0(B)) & m2_relset_1(D,A,u1_struct_0(B)) & v1_funct_1(D) -> k7_setwiseo(A,u1_struct_0(B),u1_lattices(B),C,D) = k3_lattice2(A,B,C,D))))))))) # label(d4_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2540 (all A (l3_lattices(A) -> v3_lattices(k1_lattice2(A)) & l3_lattices(k1_lattice2(A)))) # label(dt_k1_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2541 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> r1_lattice2(u1_struct_0(A),u1_lattices(A),u2_lattices(A)))) # label(t41_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2542 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v10_lattices(A) & v6_group_1(A) -> -v3_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v14_lattices(A) & v6_lattices(A)))) # label(cc4_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2543 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,k5_finsub_1(C)) -> (all E (m2_relset_1(E,C,u1_struct_0(A)) & v1_funct_2(E,C,u1_struct_0(A)) & v1_funct_1(E) -> ((all F (m1_subset_1(F,C) -> (r2_hidden(F,D) -> r3_lattices(A,B,k8_funct_2(C,u1_struct_0(A),E,F))))) -> k1_xboole_0 = D | r3_lattices(A,B,k3_lattice2(C,A,D,E))))))))))))) # label(t61_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2544 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,k5_finsub_1(C)) -> (all E (v1_funct_1(E) & m2_relset_1(E,C,u1_struct_0(A)) & v1_funct_2(E,C,u1_struct_0(A)) -> ((all F (m1_subset_1(F,C) -> (r2_hidden(F,D) -> B = k8_funct_2(C,u1_struct_0(A),E,F)))) -> k1_xboole_0 = D | k2_lattice2(C,A,D,E) = B))))))))))) # label(t45_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2545 (all A (l3_lattices(A) -> (v10_lattices(A) & v3_filter_0(A) & v13_lattices(A) & -v3_struct_0(A) -> -v3_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v7_lattices(A) & v9_lattices(A) & v10_lattices(A) & v1_lattice2(A) & v8_lattices(A) & v6_lattices(A)))) # label(cc2_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2546 $T # label(t1_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2547 (all A (-v3_struct_0(A) & l3_lattices(A) & v14_lattices(A) & v10_lattices(A) -> k3_binop_1(u1_struct_0(A),u1_lattices(A)) = k6_lattices(A))) # label(t74_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2548 (all A (-v3_struct_0(A) & v4_lattices(A) & l2_lattices(A) -> v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_binop_1(u2_lattices(A),u1_struct_0(A)) & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_funct_1(u2_lattices(A)) & v1_relat_1(u2_lattices(A)))) # label(fc2_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2549 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,B) -> (all D (m1_subset_1(D,k5_finsub_1(B)) -> (all E (v1_funct_1(E) & v1_funct_2(E,B,u1_struct_0(A)) & m2_relset_1(E,B,u1_struct_0(A)) -> (r2_hidden(C,D) -> r3_lattices(A,k3_lattice2(B,A,D,E),k8_funct_2(B,u1_struct_0(A),E,C))))))))))))) # label(t55_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2550 (all A (l2_lattices(A) & v4_lattices(A) & -v3_struct_0(A) -> v1_binop_1(u2_lattices(A),u1_struct_0(A)))) # label(t27_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2551 $T # label(t4_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2552 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(A)) -> (all C (v10_lattices(C) & l3_lattices(C) & v13_lattices(C) & v11_lattices(C) & -v3_struct_0(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,u1_struct_0(C)) & v1_funct_2(D,A,u1_struct_0(C)) -> (all E (m1_subset_1(E,u1_struct_0(C)) -> k4_lattices(C,E,k2_lattice2(A,C,B,D)) = k2_lattice2(A,C,B,k8_funcop_1(u1_struct_0(C),A,u1_lattices(C),E,D)))))))))))) # label(t83_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2553 (all A (v7_lattices(A) & l1_lattices(A) & -v3_struct_0(A) -> v2_binop_1(u1_lattices(A),u1_struct_0(A)) & v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_funct_1(u1_lattices(A)) & v1_relat_1(u1_lattices(A)))) # label(fc5_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2554 (all A (v11_lattices(A) & v13_lattices(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> r6_binop_1(u1_struct_0(A),u1_lattices(A),u2_lattices(A)))) # label(t80_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2555 (all A (-v3_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) -> k5_lattices(A) = k3_binop_1(u1_struct_0(A),u2_lattices(A)))) # label(t68_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2556 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (v1_setwiseo(u2_lattices(A),u1_struct_0(A)) -> k3_binop_1(u1_struct_0(A),u2_lattices(A)) = k5_lattices(A)))) # label(t28_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2557 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> v3_lattices(k1_lattice2(A)) & v8_lattices(k1_lattice2(A)) & v9_lattices(k1_lattice2(A)) & v10_lattices(k1_lattice2(A)) & v7_lattices(k1_lattice2(A)) & v6_lattices(k1_lattice2(A)) & v5_lattices(k1_lattice2(A)) & v4_lattices(k1_lattice2(A)) & -v3_struct_0(k1_lattice2(A)))) # label(fc6_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2558 $T # label(t11_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2559 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (v3_filter_0(A) & v13_lattices(A) <-> v1_lattice2(A)))) # label(d6_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2560 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> r1_lattice2(u1_struct_0(A),u2_lattices(A),u1_lattices(A)))) # label(t40_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2561 (all A all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,A,B) & v1_funct_2(C,A,B) -> (all D (m2_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) -> (all E (m1_subset_1(E,k5_finsub_1(A)) -> k1_funct_4(k2_partfun1(A,B,C,E),D) = D)))))))) # label(t12_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2562 (all A (v13_lattices(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (exists D (m1_subset_1(D,u1_struct_0(A)) & (all E (m1_subset_1(E,u1_struct_0(A)) -> (r3_lattices(A,k4_lattices(A,B,E),C) -> r3_lattices(A,E,D)))) & r3_lattices(A,k4_lattices(A,B,D),C))))))) <-> -v3_struct_0(A) & v10_lattices(A) & v1_lattice2(A) & l3_lattices(A)))) # label(t84_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2563 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,k5_finsub_1(B)) -> (all D (v1_funct_1(D) & m2_relset_1(D,B,u1_struct_0(A)) & v1_funct_2(D,B,u1_struct_0(A)) -> (all E (v1_funct_2(E,B,u1_struct_0(A)) & m2_relset_1(E,B,u1_struct_0(A)) & v1_funct_1(E) -> (k2_partfun1(B,u1_struct_0(A),D,C) = k2_partfun1(B,u1_struct_0(A),E,C) -> C = k1_xboole_0 | k3_lattice2(B,A,C,D) = k3_lattice2(B,A,C,E)))))))))))) # label(t60_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2564 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v14_lattices(A) -> r3_binop_1(u1_struct_0(A),k6_lattices(A),u1_lattices(A)))) # label(t72_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2565 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r3_lattices(A,B,C) -> (all D (m1_subset_1(D,u1_struct_0(k1_lattice2(A))) -> (all E (m1_subset_1(E,u1_struct_0(k1_lattice2(A))) -> (E = C & D = B -> r3_lattices(k1_lattice2(A),E,D))))))))))))) # label(t53_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2566 (exists A (l3_lattices(A) & -v3_struct_0(A) & v5_lattices(A) & v6_lattices(A) & v8_lattices(A) & v9_lattices(A) & v1_lattice2(A) & v10_lattices(A) & v7_lattices(A) & v4_lattices(A))) # label(rc1_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2567 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (v6_group_1(A) <-> v6_group_1(k1_lattice2(A))))) # label(t85_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2568 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(A)) -> (all C (v14_lattices(C) & l3_lattices(C) & v10_lattices(C) & -v3_struct_0(C) -> (all D (v1_funct_2(D,A,u1_struct_0(C)) & m2_relset_1(D,A,u1_struct_0(C)) & v1_funct_1(D) -> (all E (v1_funct_1(E) & v1_funct_2(E,A,u1_struct_0(C)) & m2_relset_1(E,A,u1_struct_0(C)) -> (k2_partfun1(A,u1_struct_0(C),E,B) = k2_partfun1(A,u1_struct_0(C),D,B) -> k3_lattice2(A,C,B,E) = k3_lattice2(A,C,B,D)))))))))))) # label(t75_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2569 $T # label(t20_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2570 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (v11_lattices(k1_lattice2(A)) & l3_lattices(k1_lattice2(A)) & v10_lattices(k1_lattice2(A)) & -v3_struct_0(k1_lattice2(A)) <-> v10_lattices(A) & v11_lattices(A) & l3_lattices(A) & -v3_struct_0(A)))) # label(t65_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2571 (all A (v14_lattices(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> k6_lattices(A) = k5_lattices(k1_lattice2(A)))) # label(t79_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2572 (all A all B all C all D (-v1_xboole_0(A) & v10_lattices(B) & l3_lattices(B) & v1_funct_1(D) & m1_relset_1(D,A,u1_struct_0(B)) & v1_funct_2(D,A,u1_struct_0(B)) & m1_subset_1(C,k5_finsub_1(A)) & -v3_struct_0(B) -> m1_subset_1(k2_lattice2(A,B,C,D),u1_struct_0(B)))) # label(dt_k2_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2573 $T # label(d5_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2574 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(A)) -> (all C (-v3_struct_0(C) & v14_lattices(C) & l3_lattices(C) & v10_lattices(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,u1_struct_0(C)) & v1_funct_2(D,A,u1_struct_0(C)) -> (all E (m2_relset_1(E,A,u1_struct_0(C)) & v1_funct_2(E,A,u1_struct_0(C)) & v1_funct_1(E) -> ((all F (m1_subset_1(F,A) -> (r2_hidden(F,B) -> r3_lattices(C,k8_funct_2(A,u1_struct_0(C),D,F),k8_funct_2(A,u1_struct_0(C),E,F))))) -> r3_lattices(C,k3_lattice2(A,C,B,D),k3_lattice2(A,C,B,E))))))))))))) # label(t77_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2575 (all A all B all C all D (m1_relset_1(D,A,u1_struct_0(B)) & v1_funct_2(D,A,u1_struct_0(B)) & v1_funct_1(D) & m1_subset_1(C,k5_finsub_1(A)) & l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) & -v1_xboole_0(A) -> m1_subset_1(k3_lattice2(A,B,C,D),u1_struct_0(B)))) # label(dt_k3_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2576 (all A (-v3_struct_0(A) & v7_lattices(A) & l1_lattices(A) -> v2_binop_1(u1_lattices(A),u1_struct_0(A)))) # label(t32_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2577 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (v10_lattices(A) & l3_lattices(A) & v11_lattices(A) & -v3_struct_0(A) -> r6_binop_1(u1_struct_0(A),u2_lattices(A),u1_lattices(A))))) # label(t35_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2578 (all A (v13_lattices(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> r3_binop_1(u1_struct_0(A),k5_lattices(A),u2_lattices(A)))) # label(t66_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2579 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,k5_finsub_1(C)) -> (all E (v1_funct_1(E) & m2_relset_1(E,C,u1_struct_0(A)) & v1_funct_2(E,C,u1_struct_0(A)) -> ((all F (m1_subset_1(F,C) -> (r2_hidden(F,D) -> r3_lattices(A,k8_funct_2(C,u1_struct_0(A),E,F),B)))) -> r3_lattices(A,k2_lattice2(C,A,D,E),B) | k1_xboole_0 = D))))))))))) # label(t47_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2580 $T # label(t23_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2581 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(k1_lattice2(A))) -> (all E (m1_subset_1(E,u1_struct_0(k1_lattice2(A))) -> (C = E & D = B -> k3_lattices(A,B,C) = k4_lattices(k1_lattice2(A),D,E) & k3_lattices(k1_lattice2(A),D,E) = k4_lattices(A,B,C)))))))))))) # label(t52_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2582 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (v14_lattices(A) <-> v13_lattices(k1_lattice2(A))))) # label(t64_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2583 (all A (-v3_struct_0(A) & l3_lattices(A) & v13_lattices(A) & v10_lattices(A) -> k5_lattices(A) = k6_lattices(k1_lattice2(A)))) # label(t78_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2584 (all A all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> k1_relat_1(k2_partfun1(A,B,D,C)) = C)))))) # label(t2_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2585 (all A (-v1_xboole_0(A) -> (all B (l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k5_finsub_1(A)) -> (all D (v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(B)) & m2_relset_1(D,A,u1_struct_0(B)) -> k2_lattice2(A,B,C,D) = k7_setwiseo(A,u1_struct_0(B),u2_lattices(B),C,D))))))))) # label(d3_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2586 (all A (-v3_struct_0(A) & l2_lattices(A) & v5_lattices(A) -> v2_binop_1(u2_lattices(A),u1_struct_0(A)))) # label(t29_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2587 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (v14_lattices(k1_lattice2(A)) <-> v13_lattices(A)))) # label(t63_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2588 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,k5_finsub_1(B)) -> (all D (m2_relset_1(D,B,u1_struct_0(A)) & v1_funct_2(D,B,u1_struct_0(A)) & v1_funct_1(D) -> (all E (v1_funct_1(E) & m2_relset_1(E,B,u1_struct_0(A)) & v1_funct_2(E,B,u1_struct_0(A)) -> ((all F (m1_subset_1(F,B) -> (r2_hidden(F,C) -> r3_lattices(A,k8_funct_2(B,u1_struct_0(A),D,F),k8_funct_2(B,u1_struct_0(A),E,F))))) -> r3_lattices(A,k2_lattice2(B,A,C,D),k2_lattice2(B,A,C,E)) | C = k1_xboole_0))))))))))) # label(t48_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2589 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (v1_setwiseo(u1_lattices(A),u1_struct_0(A)) -> k3_binop_1(u1_struct_0(A),u1_lattices(A)) = k6_lattices(A)))) # label(t33_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2590 (all A (-v3_struct_0(A) & l3_lattices(A) -> v3_lattices(k1_lattice2(A)) & -v3_struct_0(k1_lattice2(A)))) # label(fc1_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2591 (all A (l2_lattices(A) & v5_lattices(A) & -v3_struct_0(A) -> v2_binop_1(u2_lattices(A),u1_struct_0(A)) & v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_funct_1(u2_lattices(A)) & v1_relat_1(u2_lattices(A)))) # label(fc3_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2592 (all A (l3_lattices(A) -> (v6_group_1(A) & v10_lattices(A) & -v3_struct_0(A) -> v5_lattices(A) & v10_lattices(A) & v13_lattices(A) & v15_lattices(A) & v14_lattices(A) & v9_lattices(A) & v8_lattices(A) & v7_lattices(A) & v6_lattices(A) & v4_lattices(A) & -v3_struct_0(A)))) # label(cc5_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2593 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(A)) -> (all C (-v3_struct_0(C) & v11_lattices(C) & l3_lattices(C) & v13_lattices(C) & v10_lattices(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,u1_struct_0(C)) & v1_funct_2(D,A,u1_struct_0(C)) -> (all E (v1_funct_2(E,A,u1_struct_0(C)) & m2_relset_1(E,A,u1_struct_0(C)) & v1_funct_1(E) -> (all F (m1_subset_1(F,u1_struct_0(C)) -> ((all G (m1_subset_1(G,A) -> (r2_hidden(G,B) -> k4_lattices(C,F,k8_funct_2(A,u1_struct_0(C),E,G)) = k8_funct_2(A,u1_struct_0(C),D,G)))) -> k2_lattice2(A,C,B,D) = k4_lattices(C,F,k2_lattice2(A,C,B,E))))))))))))))) # label(t82_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.03	2594 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,k5_finsub_1(C)) -> (all E (v1_funct_1(E) & v1_funct_2(E,C,u1_struct_0(A)) & m2_relset_1(E,C,u1_struct_0(A)) -> ((all F (m1_subset_1(F,C) -> (r2_hidden(F,D) -> k8_funct_2(C,u1_struct_0(A),E,F) = B))) -> B = k3_lattice2(C,A,D,E) | D = k1_xboole_0))))))))))) # label(t57_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2595 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,k5_finsub_1(B)) -> (all D (v1_funct_1(D) & m2_relset_1(D,B,u1_struct_0(A)) & v1_funct_2(D,B,u1_struct_0(A)) -> (all E (v1_funct_1(E) & m2_relset_1(E,B,u1_struct_0(A)) & v1_funct_2(E,B,u1_struct_0(A)) -> ((all F (m1_subset_1(F,B) -> (r2_hidden(F,C) -> r3_lattices(A,k8_funct_2(B,u1_struct_0(A),D,F),k8_funct_2(B,u1_struct_0(A),E,F))))) -> C = k1_xboole_0 | r3_lattices(A,k3_lattice2(B,A,C,D),k3_lattice2(B,A,C,E))))))))))))) # label(t62_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2596 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> r6_binop_1(u1_struct_0(A),u2_lattices(A),u2_lattices(A)))) # label(t34_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2597 (all A (l3_lattices(A) & v13_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> v1_setwiseo(u2_lattices(A),u1_struct_0(A)))) # label(t67_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2598 (exists A (v3_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v13_lattices(A) & v3_filter_0(A) & v1_lattice2(A) & v4_lattices(A) & -v3_struct_0(A) & l3_lattices(A))) # label(rc2_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2599 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(A)) -> (all C (v10_lattices(C) & l3_lattices(C) & v13_lattices(C) & -v3_struct_0(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(C)) & m2_relset_1(D,A,u1_struct_0(C)) -> (all E (m1_subset_1(E,u1_struct_0(C)) -> ((all F (m1_subset_1(F,A) -> (r2_hidden(F,B) -> r3_lattices(C,k8_funct_2(A,u1_struct_0(C),D,F),E)))) -> r3_lattices(C,k2_lattice2(A,C,B,D),E)))))))))))) # label(t70_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2600 (all A all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D) -> (all E (v1_funct_2(E,A,B) & m2_relset_1(E,A,B) & v1_funct_1(E) -> ((all F (m1_subset_1(F,A) -> (r2_hidden(F,C) -> k1_funct_1(D,F) = k1_funct_1(E,F)))) -> k1_funct_4(E,k2_partfun1(A,B,D,C)) = E))))))))) # label(t10_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2601 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(A)) -> (all C (v13_lattices(C) & l3_lattices(C) & v10_lattices(C) & -v3_struct_0(C) -> (all D (v1_funct_2(D,A,u1_struct_0(C)) & m2_relset_1(D,A,u1_struct_0(C)) & v1_funct_1(D) -> (all E (v1_funct_1(E) & m2_relset_1(E,A,u1_struct_0(C)) & v1_funct_2(E,A,u1_struct_0(C)) -> ((all F (m1_subset_1(F,A) -> (r2_hidden(F,B) -> r3_lattices(C,k8_funct_2(A,u1_struct_0(C),D,F),k8_funct_2(A,u1_struct_0(C),E,F))))) -> r3_lattices(C,k2_lattice2(A,C,B,D),k2_lattice2(A,C,B,E))))))))))))) # label(t71_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2602 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (r6_binop_1(u1_struct_0(A),u1_lattices(A),u2_lattices(A)) -> v11_lattices(A)))) # label(t38_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2603 $T # label(t3_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2604 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,B) -> (all D (m1_subset_1(D,k5_finsub_1(B)) -> (all E (m2_relset_1(E,B,u1_struct_0(A)) & v1_funct_2(E,B,u1_struct_0(A)) & v1_funct_1(E) -> (r2_hidden(C,D) -> r3_lattices(A,k8_funct_2(B,u1_struct_0(A),E,C),k2_lattice2(B,A,D,E))))))))))))) # label(t43_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2605 $T # label(t42_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2606 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,k5_finsub_1(C)) -> (all E (v1_funct_2(E,C,u1_struct_0(A)) & m2_relset_1(E,C,u1_struct_0(A)) & v1_funct_1(E) -> ((exists F (m1_subset_1(F,C) & r2_hidden(F,D) & r3_lattices(A,k8_funct_2(C,u1_struct_0(A),E,F),B))) -> r3_lattices(A,k3_lattice2(C,A,D,E),B)))))))))))) # label(t56_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2607 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,k5_finsub_1(C)) -> (all E (v1_funct_1(E) & m2_relset_1(E,C,u1_struct_0(A)) & v1_funct_2(E,C,u1_struct_0(A)) -> (k1_xboole_0 != D -> k2_lattice2(C,A,D,k8_funcop_1(u1_struct_0(A),C,u2_lattices(A),B,E)) = k3_lattices(A,B,k2_lattice2(C,A,D,E))))))))))))) # label(t50_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2608 $T # label(t15_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2609 (all A all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> (all E (v1_funct_2(E,A,B) & m2_relset_1(E,A,B) & v1_funct_1(E) -> k1_funct_4(k2_partfun1(A,B,D,C),E) = E)))))))) # label(t7_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2610 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> C = k3_lattices(A,B,C))) -> B = k5_lattices(A)))))) # label(t21_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2611 (all A all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) -> (all D (v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D) -> (all E (m1_subset_1(E,k5_finsub_1(A)) -> ((all F (m1_subset_1(F,A) -> (r2_hidden(F,E) -> k1_funct_1(D,F) = k1_funct_1(C,F)))) -> k1_funct_4(D,k2_partfun1(A,B,C,E)) = D))))))))) # label(t14_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2612 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,k5_finsub_1(B)) -> (all D (m2_relset_1(D,B,u1_struct_0(A)) & v1_funct_2(D,B,u1_struct_0(A)) & v1_funct_1(D) -> (all E (m2_relset_1(E,B,u1_struct_0(A)) & v1_funct_2(E,B,u1_struct_0(A)) & v1_funct_1(E) -> (k2_partfun1(B,u1_struct_0(A),E,C) = k2_partfun1(B,u1_struct_0(A),D,C) -> C = k1_xboole_0 | k2_lattice2(B,A,C,E) = k2_lattice2(B,A,C,D)))))))))))) # label(t49_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2613 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,k5_finsub_1(C)) -> (all E (v1_funct_2(E,C,u1_struct_0(A)) & m2_relset_1(E,C,u1_struct_0(A)) & v1_funct_1(E) -> (k1_xboole_0 != D -> k3_lattice2(C,A,D,k8_funcop_1(u1_struct_0(A),C,u1_lattices(A),B,E)) = k4_lattices(A,B,k3_lattice2(C,A,D,E))))))))))))) # label(t58_lattice2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2614 (all A (m1_subset_1(A,u1_struct_0(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat))) -> k2_lattices(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat),A,k4_nat_lat) = k4_nat_lat & k4_nat_lat = k2_lattices(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat),k4_nat_lat,A))) # label(t56_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2615 $T # label(t71_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2616 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> m2_nat_lat(A,A))) # label(t75_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2617 $T # label(t35_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2618 $T # label(t20_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2619 $T # label(t45_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2620 $T # label(t23_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2621 $T # label(t37_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2622 $T # label(t72_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2623 $T # label(t16_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2624 $T # label(t39_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2625 $T # label(t2_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2626 (all A (m1_subset_1(A,k1_zfmisc_1(k5_numbers)) -> (all B (m1_subset_1(B,A) -> v1_xcmplx_0(B) & v1_xreal_0(B))))) # label(cc2_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2627 $T # label(t74_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2628 $T # label(t13_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2629 $T # label(t31_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2630 $T # label(t59_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2631 $T # label(t26_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2632 $T # label(t40_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2633 $T # label(t50_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2634 $T # label(t47_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2635 (all A (m1_subset_1(A,u1_struct_0(g3_lattices(k7_nat_lat,k11_nat_lat,k10_nat_lat))) -> A = k12_nat_lat(A))) # label(d14_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2636 $T # label(t6_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2637 (all A (m1_subset_1(A,u1_struct_0(g3_lattices(k7_nat_lat,k11_nat_lat,k10_nat_lat))) -> (all B (m1_subset_1(B,u1_struct_0(g3_lattices(k7_nat_lat,k11_nat_lat,k10_nat_lat))) -> k2_lattices(g3_lattices(k7_nat_lat,k11_nat_lat,k10_nat_lat),A,B) = k6_nat_1(k12_nat_lat(A),k12_nat_lat(B)))))) # label(t70_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2638 $T # label(t19_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2639 $T # label(t18_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2640 $T # label(t29_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2641 $T # label(t28_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2642 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (exists B (v4_lattices(B) & v5_lattices(B) & v6_lattices(B) & v7_lattices(B) & v9_lattices(B) & v10_lattices(B) & v8_lattices(B) & v3_lattices(B) & -v3_struct_0(B) & m2_nat_lat(B,A))))) # label(rc1_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2643 $T # label(t4_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2644 (all A (v1_funct_2(A,k2_zfmisc_1(k5_numbers,k5_numbers),k5_numbers) & m2_relset_1(A,k2_zfmisc_1(k5_numbers,k5_numbers),k5_numbers) & v1_funct_1(A) -> ((all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> k2_binop_1(k5_numbers,k5_numbers,k5_numbers,A,B,C) = k5_nat_1(B,C))))) <-> A = k2_nat_lat))) # label(d4_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2645 $T # label(t46_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2646 (all A (m1_subset_1(A,u1_struct_0(k6_nat_lat)) -> (all B (m1_subset_1(B,u1_struct_0(k6_nat_lat)) -> (all C (m1_subset_1(C,u1_struct_0(k6_nat_lat)) -> k1_binop_1(k1_nat_lat,k1_binop_1(k1_nat_lat,C,B),A) = k1_binop_1(k1_nat_lat,A,k1_binop_1(k1_nat_lat,B,C)) & k1_binop_1(k1_nat_lat,A,k1_binop_1(k1_nat_lat,B,C)) = k1_binop_1(k1_nat_lat,k1_binop_1(k1_nat_lat,C,A),B) & k1_binop_1(k1_nat_lat,k1_binop_1(k1_nat_lat,A,C),B) = k1_binop_1(k1_nat_lat,A,k1_binop_1(k1_nat_lat,B,C)) & k1_binop_1(k1_nat_lat,k1_binop_1(k1_nat_lat,B,A),C) = k1_binop_1(k1_nat_lat,A,k1_binop_1(k1_nat_lat,B,C)))))))) # label(t66_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2647 (all A (v1_funct_1(A) & m2_relset_1(A,k2_zfmisc_1(k7_nat_lat,k7_nat_lat),k7_nat_lat) & v1_funct_2(A,k2_zfmisc_1(k7_nat_lat,k7_nat_lat),k7_nat_lat) -> (k11_nat_lat = A <-> (all B (m1_nat_lat(B,k1_numbers,k5_numbers,k7_nat_lat) -> (all C (m1_nat_lat(C,k1_numbers,k5_numbers,k7_nat_lat) -> k2_binop_1(k7_nat_lat,k7_nat_lat,k7_nat_lat,A,B,C) = k5_nat_1(B,C)))))))) # label(d13_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2648 (all A (m1_subset_1(A,u1_struct_0(k6_nat_lat)) -> (all B (m1_subset_1(B,u1_struct_0(k6_nat_lat)) -> k1_binop_1(k1_nat_lat,A,B) = k1_binop_1(k1_nat_lat,B,A))))) # label(t62_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2649 $T # label(t17_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2650 (all A (m1_subset_1(A,u1_struct_0(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat))) -> (all B (m1_subset_1(B,u1_struct_0(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat))) -> k2_lattices(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat),A,B) = k6_nat_1(k3_nat_lat(A),k3_nat_lat(B)))))) # label(t49_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2651 $T # label(t58_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2652 $T # label(t12_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2653 $T # label(t43_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2654 (all A (m1_subset_1(A,u1_struct_0(g3_lattices(k7_nat_lat,k11_nat_lat,k10_nat_lat))) -> m1_nat_lat(k12_nat_lat(A),k1_numbers,k5_numbers,k7_nat_lat))) # label(dt_k12_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2655 $T # label(t8_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2656 $T # label(t34_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2657 (all A (m1_subset_1(A,u1_struct_0(k6_nat_lat)) -> (all B (m1_subset_1(B,u1_struct_0(k6_nat_lat)) -> k1_binop_1(k2_nat_lat,B,A) = k1_binop_1(k2_nat_lat,A,B))))) # label(t61_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2658 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (-r1_xreal_0(A,np__0) -> A = k8_nat_lat(A)))) # label(d10_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2659 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_nat_lat(B,A) -> l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B))))) # label(dt_m2_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2660 (all A all B all C (-v1_xboole_0(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(B)) & -v1_xboole_0(C) -> (exists D m1_nat_lat(D,A,B,C)))) # label(existence_m1_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2661 (all A (m1_subset_1(A,u1_struct_0(k6_nat_lat)) -> (all B (m1_subset_1(B,u1_struct_0(k6_nat_lat)) -> (all C (m1_subset_1(C,u1_struct_0(k6_nat_lat)) -> k1_binop_1(k2_nat_lat,A,k1_binop_1(k2_nat_lat,B,C)) = k1_binop_1(k2_nat_lat,k1_binop_1(k2_nat_lat,A,B),C))))))) # label(t63_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2662 $T # label(t11_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2663 $T # label(t21_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2664 $T # label(t38_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2665 $T # label(t54_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2666 (all A (m1_subset_1(A,k1_zfmisc_1(k1_numbers)) -> (all B (m1_subset_1(B,A) -> v1_xreal_0(B) & v1_xcmplx_0(B))))) # label(cc1_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2667 (all A (m1_subset_1(A,u1_struct_0(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat))) -> m2_subset_1(k3_nat_lat(A),k1_numbers,k5_numbers))) # label(dt_k3_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2668 $T # label(t42_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2669 $T # label(t73_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2670 (all A (m1_subset_1(A,u1_struct_0(k6_nat_lat)) -> (all B (m1_subset_1(B,u1_struct_0(k6_nat_lat)) -> (all C (m1_subset_1(C,u1_struct_0(k6_nat_lat)) -> k1_binop_1(k2_nat_lat,k1_binop_1(k2_nat_lat,C,B),A) = k1_binop_1(k2_nat_lat,A,k1_binop_1(k2_nat_lat,B,C)) & k1_binop_1(k2_nat_lat,k1_binop_1(k2_nat_lat,C,A),B) = k1_binop_1(k2_nat_lat,A,k1_binop_1(k2_nat_lat,B,C)) & k1_binop_1(k2_nat_lat,A,k1_binop_1(k2_nat_lat,B,C)) = k1_binop_1(k2_nat_lat,k1_binop_1(k2_nat_lat,A,C),B) & k1_binop_1(k2_nat_lat,A,k1_binop_1(k2_nat_lat,B,C)) = k1_binop_1(k2_nat_lat,k1_binop_1(k2_nat_lat,B,A),C))))))) # label(t64_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2671 $T # label(t14_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2672 (all A all B all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(B)) & m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(B) & -v1_xboole_0(A) -> (all D (m1_nat_lat(D,A,B,C) -> m2_subset_1(D,A,B))))) # label(dt_m1_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2673 $T # label(t22_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2674 (all A (m1_subset_1(A,u1_struct_0(k6_nat_lat)) -> (all B (m1_subset_1(B,u1_struct_0(k6_nat_lat)) -> (all C (m1_subset_1(C,u1_struct_0(k6_nat_lat)) -> k1_binop_1(k1_nat_lat,A,k1_binop_1(k1_nat_lat,B,C)) = k1_binop_1(k1_nat_lat,k1_binop_1(k1_nat_lat,A,B),C))))))) # label(t65_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2675 $T # label(t32_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2676 $T # label(t53_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2677 $T # label(t51_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2678 $T # label(t3_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2679 $T # label(t9_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2680 (all A (m1_subset_1(A,u1_struct_0(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat))) -> (all B (m1_subset_1(B,u1_struct_0(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat))) -> (r1_lattices(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat),A,B) -> r1_nat_1(k3_nat_lat(A),k3_nat_lat(B))))))) # label(t52_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2681 (all A (v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k7_nat_lat,k7_nat_lat),k7_nat_lat) & m2_relset_1(A,k2_zfmisc_1(k7_nat_lat,k7_nat_lat),k7_nat_lat) -> (A = k10_nat_lat <-> (all B (m1_nat_lat(B,k1_numbers,k5_numbers,k7_nat_lat) -> (all C (m1_nat_lat(C,k1_numbers,k5_numbers,k7_nat_lat) -> k6_nat_1(B,C) = k2_binop_1(k7_nat_lat,k7_nat_lat,k7_nat_lat,A,B,C)))))))) # label(d12_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2682 (all A (m1_subset_1(A,u1_struct_0(k6_nat_lat)) -> (all B (m1_subset_1(B,u1_struct_0(k6_nat_lat)) -> k1_binop_1(k1_nat_lat,A,k1_binop_1(k2_nat_lat,A,B)) = A & A = k1_binop_1(k1_nat_lat,A,k1_binop_1(k2_nat_lat,B,A)) & k1_binop_1(k1_nat_lat,k1_binop_1(k2_nat_lat,A,B),A) = A & k1_binop_1(k1_nat_lat,k1_binop_1(k2_nat_lat,B,A),A) = A)))) # label(t67_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2683 $T # label(t1_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2684 $T # label(t44_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2685 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (k1_realset1(u1_lattices(A),u1_struct_0(B)) = u1_lattices(B) & u2_lattices(B) = k1_realset1(u2_lattices(A),u1_struct_0(B)) & r1_tarski(u1_struct_0(B),u1_struct_0(A)) <-> m2_nat_lat(B,A)))))) # label(d16_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2686 $T # label(t30_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2687 $T # label(t57_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2688 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (exists B m2_nat_lat(B,A)))) # label(existence_m2_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2689 $T # label(t5_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2690 $T # label(t41_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2691 $T # label(t15_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2692 (all A (m1_subset_1(A,u1_struct_0(k6_nat_lat)) -> (all B (m1_subset_1(B,u1_struct_0(k6_nat_lat)) -> k1_binop_1(k2_nat_lat,A,k1_binop_1(k1_nat_lat,A,B)) = A & A = k1_binop_1(k2_nat_lat,k1_binop_1(k1_nat_lat,B,A),A) & k1_binop_1(k2_nat_lat,k1_binop_1(k1_nat_lat,A,B),A) = A & k1_binop_1(k2_nat_lat,A,k1_binop_1(k1_nat_lat,B,A)) = A)))) # label(t68_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2693 (all A (m1_subset_1(A,u1_struct_0(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat))) -> (all B (m1_subset_1(B,u1_struct_0(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat))) -> k1_lattices(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat),A,B) = k5_nat_1(k3_nat_lat(A),k3_nat_lat(B)))))) # label(t48_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2694 (all A (m1_subset_1(A,k1_zfmisc_1(k5_numbers)) -> ((all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r2_hidden(B,A) <-> -r1_xreal_0(B,np__0)))) <-> A = k7_nat_lat))) # label(d9_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2695 $T # label(t25_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2696 $T # label(d2_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2697 $T # label(t7_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2698 $T # label(t24_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2699 $T # label(d1_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2700 (all A (m1_subset_1(A,k7_nat_lat) -> m1_nat_lat(k9_nat_lat(A),k1_numbers,k5_numbers,k7_nat_lat))) # label(dt_k9_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2701 $T # label(t36_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2702 (all A (m1_subset_1(A,u1_struct_0(g3_lattices(k7_nat_lat,k11_nat_lat,k10_nat_lat))) -> (all B (m1_subset_1(B,u1_struct_0(g3_lattices(k7_nat_lat,k11_nat_lat,k10_nat_lat))) -> k1_lattices(g3_lattices(k7_nat_lat,k11_nat_lat,k10_nat_lat),A,B) = k5_nat_1(k12_nat_lat(A),k12_nat_lat(B)))))) # label(t69_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2703 (all A (m2_relset_1(A,k2_zfmisc_1(k5_numbers,k5_numbers),k5_numbers) & v1_funct_2(A,k2_zfmisc_1(k5_numbers,k5_numbers),k5_numbers) & v1_funct_1(A) -> ((all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> k6_nat_1(B,C) = k2_binop_1(k5_numbers,k5_numbers,k5_numbers,A,B,C))))) <-> A = k1_nat_lat))) # label(d3_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2704 $T # label(t10_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2705 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(B)) & -v1_xboole_0(B) -> (all D (m1_nat_lat(D,A,B,C) <-> m1_subset_1(D,C))))) # label(redefinition_m1_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2706 $T # label(t27_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2707 (all A (m1_nat_lat(A,k1_numbers,k5_numbers,k7_nat_lat) -> A = k9_nat_lat(A))) # label(d11_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2708 $T # label(t33_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2709 (all A (m1_subset_1(A,k5_numbers) -> m1_nat_lat(k8_nat_lat(A),k1_numbers,k5_numbers,k7_nat_lat))) # label(dt_k8_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2710 (all A (m1_subset_1(A,u1_struct_0(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat))) -> A = k3_nat_lat(A))) # label(d5_nat_lat) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2711 (all A (-v3_struct_0(A) & v14_lattices(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k5_finsub_1(u1_struct_0(A))) -> k2_lattice4(A,k5_setwiseo(u1_struct_0(A),B,C)) = k4_lattices(A,k2_lattice4(A,B),k2_lattice4(A,C)))))))) # label(t30_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2712 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (all C (v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (k2_relat_1(C) = u1_struct_0(B) <-> v2_lattice4(C,A,B)))))))) # label(d3_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2713 (all A all B (-v3_struct_0(A) & l3_lattices(A) & -v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) & v10_lattices(A) -> (all C (m1_lattice4(C,A,B) -> v1_funct_1(C) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)))))) # label(dt_m1_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2714 (all A (-v3_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (v1_funct_1(D) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(A)) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(A)) -> k3_lattices(A,k2_lattice2(u1_struct_0(A),A,B,D),k8_funct_2(u1_struct_0(A),u1_struct_0(A),D,C)) = k2_lattice2(u1_struct_0(A),A,k5_setwiseo(u1_struct_0(A),B,k2_setwiseo(u1_struct_0(A),C)),D))))))))) # label(t20_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2715 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> k1_lattice4(A,B) = k7_setwiseo(u1_struct_0(A),u1_struct_0(A),u2_lattices(A),B,k7_grcat_1(A)))))) # label(t15_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2716 (all A (v10_lattices(A) & v16_lattices(A) & l3_lattices(A) & v15_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v17_lattices(B) & l3_lattices(B) & v10_lattices(B) -> (all C (m1_lattice4(C,B,A) -> (v2_lattice4(C,B,A) -> v17_lattices(A) & r4_lattice4(B,A,C)))))))) # label(t38_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2717 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (m2_lattice4(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(C,B) & r2_hidden(D,B) -> r2_hidden(k3_lattices(A,C,D),B) & r2_hidden(k4_lattices(A,C,D),B))))))))))) # label(d10_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2718 (all A (-v3_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) & v14_lattices(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k3_lattices(A,k2_lattice4(A,B),C) = k2_lattice4(A,k8_setwiseo(u1_struct_0(A),u1_struct_0(A),k7_funcop_1(u1_struct_0(A),u1_struct_0(A),u2_lattices(A),k7_grcat_1(A),C),B)))))))) # label(t32_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2719 (all A (-v3_struct_0(A) & l3_lattices(A) & v17_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m3_lattice4(D,A) -> (r2_hidden(C,D) & r2_hidden(B,D) -> r2_hidden(k4_filter_0(A,B,C),D)))))))))) # label(t40_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2720 (all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (m3_lattice4(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,B) & r2_hidden(C,B) -> r2_hidden(k4_lattices(A,C,D),B) & r2_hidden(k7_lattices(A,C),B))))))))))) # label(d14_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2721 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (all C (m1_lattice4(C,A,B) -> (r2_lattice4(A,B,C) <-> k6_lattices(B) = k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,k6_lattices(A))))))))) # label(d7_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2722 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (exists B m2_lattice4(B,A)))) # label(existence_m2_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2723 (all A (-v3_struct_0(A) & l3_lattices(A) & v14_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> (all C (v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(A)) & v1_funct_1(C) -> (all D (v1_funct_2(D,u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(A)) & v1_funct_1(D) -> k3_lattice2(u1_struct_0(A),A,B,k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),C,D)) = k3_lattice2(u1_struct_0(A),A,k8_setwiseo(u1_struct_0(A),u1_struct_0(A),C,B),D))))))))) # label(t29_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2724 (all A (l3_lattices(A) & v17_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m3_lattice4(B,A) -> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B))))) # label(dt_m3_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2725 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v17_lattices(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> k7_lattices(A,k1_lattice4(A,B)) = k3_lattice2(u1_struct_0(A),A,B,k5_lattice4(A)))))) # label(t46_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2726 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> k2_lattice4(A,B) = k3_lattice2(u1_struct_0(A),A,B,k7_grcat_1(A)))))) # label(d13_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2727 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> v2_filter_0(k1_filter_0(A),A))) # label(t4_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2728 (all A (v10_lattices(A) & l3_lattices(A) & v17_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (all C (m3_lattice4(C,A) -> (k3_lattice4(A,B) = C <-> r1_tarski(B,C) & (all D (m3_lattice4(D,A) -> (r1_tarski(B,D) -> r1_tarski(C,D))))))))))) # label(d15_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2729 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & v13_lattices(B) & l3_lattices(B) -> (all C (m1_lattice4(C,B,A) -> (v2_lattice4(C,B,A) -> r3_lattice4(B,A,C) & v13_lattices(A)))))))) # label(t19_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2730 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_0(B,A) -> m2_lattice4(B,A))))) # label(t11_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2731 (all A (v10_lattices(A) & l3_lattices(A) & v13_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_lattice4(A,k5_setwiseo(u1_struct_0(A),B,k2_setwiseo(u1_struct_0(A),C))) = k3_lattices(A,k1_lattice4(A,B),C))))))) # label(t21_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2732 (all A (-v3_struct_0(A) & l3_lattices(A) & v16_lattices(A) & v15_lattices(A) & v10_lattices(A) -> (all B (-v3_struct_0(B) & v3_filter_0(B) & l3_lattices(B) & v10_lattices(B) -> (all C (m1_lattice4(C,B,A) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> r3_lattices(A,k4_lattices(A,k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,D),k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,k4_filter_0(B,D,E))),k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,E)))))))))))) # label(t33_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2733 (all A (-v3_struct_0(A) & v10_lattices(A) & v14_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k4_lattices(A,k2_lattice4(A,B),C) = k2_lattice4(A,k5_setwiseo(u1_struct_0(A),B,k2_setwiseo(u1_struct_0(A),C))))))))) # label(t28_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2734 (all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m3_lattice4(D,A) -> (r2_hidden(C,D) & r2_hidden(B,D) -> r2_hidden(k3_lattices(A,B,C),D)))))))))) # label(t39_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2735 $T # label(t12_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2736 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> m2_lattice4(u1_struct_0(A),A))) # label(t10_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2737 (all A (v10_lattices(A) & l3_lattices(A) & v17_lattices(A) & -v3_struct_0(A) -> (all B (m3_lattice4(B,A) -> m2_lattice4(B,A))))) # label(t42_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2738 (all A (l3_lattices(A) & v17_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> v1_funct_1(k5_lattice4(A)) & m2_relset_1(k5_lattice4(A),u1_struct_0(A),u1_struct_0(A)) & v1_funct_2(k5_lattice4(A),u1_struct_0(A),u1_struct_0(A)))) # label(dt_k5_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.04	2739 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (-v3_struct_0(B) & l3_lattices(B) & v10_lattices(B) -> (all C (m1_lattice4(C,A,B) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,k7_lattices(A,D)) = k7_lattices(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D)))) <-> r4_lattice4(A,B,C)))))))) # label(d9_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2740 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (v10_lattices(B) & l3_lattices(B) & -v3_struct_0(B) -> (all C (m1_lattice4(C,A,B) -> (v3_lattice4(C,A,B) <-> v2_lattice4(C,A,B) & v1_lattice4(C,A,B)))))))) # label(d4_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2741 (all A all B (v17_lattices(B) & l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (r2_hidden(A,k4_lattice4(B,C)) <-> (exists D (m1_subset_1(D,u1_struct_0(B)) & (exists E (r2_hidden(E,C) & r2_hidden(D,C) & A = k4_filter_0(B,D,E) & m1_subset_1(E,u1_struct_0(B))))))))))) # label(t43_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2742 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k1_lattice4(A,k2_setwiseo(u1_struct_0(A),B)))))) # label(t16_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2743 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v17_lattices(A) -> k7_lattices(A,k6_lattices(A)) = k5_lattices(A))) # label(t36_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2744 (all A all B (-v3_struct_0(A) & m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) & l3_lattices(A) & v10_lattices(A) -> m1_subset_1(k1_lattice4(A,B),u1_struct_0(A)))) # label(dt_k1_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2745 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (l3_lattices(B) & v14_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (all C (m1_lattice4(C,B,A) -> (v2_lattice4(C,B,A) -> r2_lattice4(B,A,C) & v14_lattices(A)))))))) # label(t25_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2746 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> (v2_lattice4(C,A,B) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (exists E (D = k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,E) & m1_subset_1(E,u1_struct_0(A))))))))))))) # label(t9_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2747 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> k2_lattice2(u1_struct_0(A),A,B,k7_grcat_1(A)) = k1_lattice4(A,B))))) # label(d12_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2748 $T # label(t13_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2749 (all A (v13_lattices(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k5_finsub_1(u1_struct_0(A))) -> k1_lattice4(A,k5_setwiseo(u1_struct_0(A),B,C)) = k3_lattices(A,k1_lattice4(A,B),k1_lattice4(A,C)))))))) # label(t22_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2750 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v13_lattices(A) -> (all B (m2_lattice4(B,A) -> (r2_hidden(k5_lattices(A),B) -> (all C (m1_subset_1(C,k5_finsub_1(u1_struct_0(A))) -> (r1_tarski(C,B) -> r2_hidden(k1_lattice4(A,C),B))))))))) # label(t24_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2751 $T # label(d11_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2752 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k2_lattice4(A,k2_setwiseo(u1_struct_0(A),B)) = B)))) # label(t17_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2753 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (all C (m1_lattice4(C,A,B) -> (r3_lattice4(A,B,C) <-> k5_lattices(B) = k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,k5_lattices(A))))))))) # label(d8_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2754 (all A all B all C (v10_lattices(B) & m2_lattice4(C,B) & -v1_xboole_0(C) & l3_lattices(B) & v17_lattices(B) & -v3_struct_0(B) -> (r2_hidden(A,a_2_1_lattice4(B,C)) <-> (exists D (A = k2_lattice4(B,D) & r1_tarski(D,k4_lattice4(B,C)) & m1_subset_1(D,k5_finsub_1(u1_struct_0(B)))))))) # label(fraenkel_a_2_1_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2755 (all A (-v3_struct_0(A) & l3_lattices(A) & v17_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> ((exists D ((exists E (m1_subset_1(E,u1_struct_0(A)) & r2_hidden(E,B) & r2_hidden(D,B) & C = k3_lattices(A,k7_lattices(A,D),E))) & m1_subset_1(D,u1_struct_0(A)))) <-> r2_hidden(C,k4_lattice4(A,B))))))))) # label(t44_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2756 (all A (v10_lattices(A) & v16_lattices(A) & l3_lattices(A) & v15_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) & v3_filter_0(B) -> (all C (m1_lattice4(C,B,A) -> (v3_lattice4(C,B,A) -> v3_filter_0(A) & r1_lattice4(B,A,C)))))))) # label(t35_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2757 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> m1_subset_1(k2_lattice4(A,B),u1_struct_0(A)))) # label(dt_k2_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2758 (all A (v10_lattices(A) & l3_lattices(A) & v17_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> k7_lattices(A,k2_lattice4(A,B)) = k2_lattice2(u1_struct_0(A),A,B,k5_lattice4(A)))))) # label(t48_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2759 (all A (v13_lattices(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> k5_lattices(A) = k1_lattice4(A,k1_setwiseo(u1_struct_0(A))))) # label(t23_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2760 (all A (v10_lattices(A) & l3_lattices(A) & v17_lattices(A) & -v3_struct_0(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) -> (B = k5_lattice4(A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> k8_funct_2(u1_struct_0(A),u1_struct_0(A),B,C) = k7_lattices(A,C)))))))) # label(d17_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2761 (all A (v17_lattices(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m2_lattice4(B,A) -> (r2_hidden(k6_lattices(A),B) & r2_hidden(k5_lattices(A),B) -> a_2_1_lattice4(A,B) = k3_lattice4(A,B)))))) # label(t50_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2762 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (exists B (-v1_xboole_0(B) & m2_lattice4(B,A))))) # label(rc1_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2763 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v17_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k5_finsub_1(u1_struct_0(A))) -> k3_lattice2(u1_struct_0(A),A,k5_setwiseo(u1_struct_0(A),C,k2_setwiseo(u1_struct_0(A),B)),k5_lattice4(A)) = k4_lattices(A,k3_lattice2(u1_struct_0(A),A,C,k5_lattice4(A)),k7_lattices(A,B)))))))) # label(t47_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2764 (all A all B all C (-v3_struct_0(B) & v10_lattices(B) & v17_lattices(B) & -v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & l3_lattices(B) -> (r2_hidden(A,a_2_0_lattice4(B,C)) <-> (exists D exists E (m1_subset_1(E,u1_struct_0(B)) & A = k4_filter_0(B,D,E) & r2_hidden(E,C) & r2_hidden(D,C) & m1_subset_1(D,u1_struct_0(B))))))) # label(fraenkel_a_2_0_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2765 (all A (l3_lattices(A) & v17_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k5_finsub_1(u1_struct_0(A))) -> k2_lattice2(u1_struct_0(A),A,k5_setwiseo(u1_struct_0(A),C,k2_setwiseo(u1_struct_0(A),B)),k5_lattice4(A)) = k3_lattices(A,k2_lattice2(u1_struct_0(A),A,C,k5_lattice4(A)),k7_lattices(A,B)))))))) # label(t45_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2766 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v17_lattices(A) -> k6_lattices(A) = k7_lattices(A,k5_lattices(A)))) # label(t37_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2767 (all A (l3_lattices(A) & v14_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (v1_funct_1(D) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(A)) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(A)) -> k3_lattice2(u1_struct_0(A),A,k5_setwiseo(u1_struct_0(A),B,k2_setwiseo(u1_struct_0(A),C)),D) = k4_lattices(A,k3_lattice2(u1_struct_0(A),A,B,D),k8_funct_2(u1_struct_0(A),u1_struct_0(A),D,C)))))))))) # label(t27_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2768 (all A (v10_lattices(A) & l3_lattices(A) & v17_lattices(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m2_lattice4(B,A) -> (r2_hidden(k5_lattices(A),B) & r2_hidden(k6_lattices(A),B) -> (all C (m1_subset_1(C,k5_finsub_1(u1_struct_0(A))) -> -(r1_tarski(C,k4_lattice4(A,B)) & (all D (m1_subset_1(D,k5_finsub_1(u1_struct_0(A))) -> -(r1_tarski(D,k4_lattice4(A,B)) & k2_lattice4(A,D) = k2_lattice2(u1_struct_0(A),A,C,k5_lattice4(A))))))))))))) # label(t49_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2769 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) -> (m1_lattice4(C,A,B) <-> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> k4_lattices(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) = k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,k4_lattices(A,D,E)) & k3_lattices(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) = k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,k3_lattices(A,D,E))))))))))))) # label(d1_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2770 (all A all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l3_lattices(A) & v17_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> m3_lattice4(k3_lattice4(A,B),A))) # label(dt_k3_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2771 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_lattice4(E,A,B) -> (r3_lattices(A,C,D) -> r3_lattices(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),E,C),k8_funct_2(u1_struct_0(A),u1_struct_0(B),E,D))))))))))))) # label(t7_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2772 $T # label(t1_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2773 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> (v2_funct_1(C) <-> v1_lattice4(C,A,B)))))))) # label(d2_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2774 (all A all B (-v3_struct_0(A) & v10_lattices(B) & l3_lattices(B) & -v3_struct_0(B) & l3_lattices(A) & v10_lattices(A) -> (exists C m1_lattice4(C,A,B)))) # label(existence_m1_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2775 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_0(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> -(r2_hidden(C,k3_filter_0(A,k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k2_filter_0(A,D),B))) & (all E (m1_subset_1(E,u1_struct_0(A)) -> -(r2_hidden(E,B) & r3_lattices(A,k4_lattices(A,D,E),C))))))))))))) # label(t6_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2776 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (all C (m1_lattice4(C,A,B) -> (r1_lattice4(A,B,C) <-> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> k4_filter_0(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) = k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,k4_filter_0(A,D,E))))))))))))) # label(d6_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2777 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v17_lattices(A) -> m3_lattice4(u1_struct_0(A),A))) # label(t41_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2778 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (v10_lattices(B) & l3_lattices(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_lattice4(E,A,B) -> (v1_lattice4(E,A,B) -> (r3_lattices(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),E,C),k8_funct_2(u1_struct_0(A),u1_struct_0(B),E,D)) <-> r3_lattices(A,C,D))))))))))))) # label(t8_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2779 (all A all B (-v3_struct_0(A) & v17_lattices(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & l3_lattices(A) & v10_lattices(A) -> m1_subset_1(k4_lattice4(A,B),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k4_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2780 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (v10_lattices(B) & v11_lattices(B) & l3_lattices(B) & -v3_struct_0(B) -> (all C (m1_lattice4(C,B,A) -> (v2_lattice4(C,B,A) -> v11_lattices(A)))))))) # label(t18_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2781 (all A (v10_lattices(A) & l3_lattices(A) & v14_lattices(A) & -v3_struct_0(A) -> (all B (m2_lattice4(B,A) -> (r2_hidden(k6_lattices(A),B) -> (all C (m1_subset_1(C,k5_finsub_1(u1_struct_0(A))) -> (r1_tarski(C,B) -> r2_hidden(k2_lattice4(A,C),B))))))))) # label(t31_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2782 (all A all B (l3_lattices(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & v17_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> -v1_xboole_0(k4_lattice4(A,B)))) # label(fc1_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2783 (all A -(A != k1_xboole_0 & (all B -(k1_xboole_0 != B & r1_tarski(B,A) & (all C -(r2_hidden(C,A) & (all D (r2_hidden(D,B) -> r1_tarski(D,C))))) & v6_ordinal1(B))) & (all B -(r2_hidden(B,A) & (all C -(C != B & r1_tarski(B,C) & r2_hidden(C,A))))))) # label(t3_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2784 (all A (v17_lattices(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k4_lattice4(A,B) = a_2_0_lattice4(A,B))))) # label(d16_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2785 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> k7_setwiseo(u1_struct_0(A),u1_struct_0(A),u1_lattices(A),B,k7_grcat_1(A)) = k2_lattice4(A,B))))) # label(t14_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2786 $T # label(t2_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2787 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (r1_filter_1(A,B) <-> (exists C (v3_lattice4(C,A,B) & m1_lattice4(C,A,B)))))))) # label(d5_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2788 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m2_lattice4(B,A) -> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(dt_m2_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2789 (all A (v16_lattices(A) & l3_lattices(A) & v15_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) & v3_filter_0(B) -> (all C (m1_lattice4(C,B,A) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (all F (m1_subset_1(F,u1_struct_0(B)) -> (r3_lattices(A,k4_lattices(A,k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,D),k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,E)),k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,F)) & v1_lattice4(C,B,A) -> r3_lattices(A,k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,E),k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,k4_filter_0(B,D,F)))))))))))))))) # label(t34_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2790 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v14_lattices(A) -> k6_lattices(A) = k2_lattice4(A,k1_setwiseo(u1_struct_0(A))))) # label(t26_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2791 (all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) -> (exists B m3_lattice4(B,A)))) # label(existence_m3_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2792 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_filter_0(B,A) -> (all C (m1_filter_0(C,A) -> r1_tarski(C,k3_filter_0(A,k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)),B,C))) & r1_tarski(B,k3_filter_0(A,k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)),B,C))))))))) # label(t5_lattice4) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2793 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> r2_hidden(B,k18_filter_2(A,B)) & r2_hidden(k4_lattices(A,C,B),k18_filter_2(A,B)) & r2_hidden(k4_lattices(A,B,C),k18_filter_2(A,B)))))))) # label(t31_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2794 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(B,k1_zfmisc_1(A)) -> (r1_filter_2(A,B,C) -> r1_filter_2(A,C,B)))) # label(symmetry_r1_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2795 (all A all B (m2_lattice4(B,A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> k9_filter_2(A,B) = k7_filter_2(A,B))) # label(redefinition_k9_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2796 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> k1_lattice2(k1_lattice2(A)) = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)))) # label(t7_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2797 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(k1_lattice2(A))) -> (all E (m1_subset_1(E,u1_struct_0(k1_lattice2(A))) -> k3_lattices(A,B,C) = k4_lattices(k1_lattice2(A),k5_filter_2(A,B),k5_filter_2(A,C)) & k4_lattices(k1_lattice2(A),D,E) = k3_lattices(A,k6_filter_2(A,D),k6_filter_2(A,E)) & k4_lattices(A,k6_filter_2(A,D),k6_filter_2(A,E)) = k3_lattices(k1_lattice2(A),D,E) & k3_lattices(k1_lattice2(A),k5_filter_2(A,B),k5_filter_2(A,C)) = k4_lattices(A,B,C))))))))))) # label(t19_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2798 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k18_filter_2(k1_lattice2(A),k5_filter_2(A,B)) = k2_filter_2(A,B) & k18_filter_2(A,B) = k2_filter_2(k1_lattice2(A),k5_filter_2(A,B)))))) # label(t30_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2799 (all A all B (-v1_xboole_0(B) & m2_lattice4(B,k1_lattice2(A)) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> k12_filter_2(A,B) = k8_filter_2(A,B))) # label(redefinition_k12_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2800 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (m2_filter_2(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(C,B) & r3_lattices(A,D,C) -> r2_hidden(D,B)))))) & (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(C,B) & r2_hidden(D,B) -> r2_hidden(k3_lattices(A,C,D),B))))))))))) # label(t22_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2801 (all A all B all C (-v3_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) & m2_filter_2(C,A) & m2_filter_2(B,A) -> m2_filter_2(k21_filter_2(A,B,C),A))) # label(dt_k21_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2802 (all A all B all C (m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> m2_lattice4(k22_filter_2(A,B,C),A) & -v1_xboole_0(k22_filter_2(A,B,C)))) # label(dt_k22_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2803 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_filter_0(B,k1_lattice2(A)) -> k8_filter_2(A,B) = k14_filter_2(A,B))) # label(redefinition_k14_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2804 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(k1_lattice2(A))) -> k6_filter_2(A,B) = B)))) # label(d5_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2805 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (-v3_struct_0(A) & v15_lattices(A) & l3_lattices(A) & v16_lattices(A) & v10_lattices(A) <-> v10_lattices(k1_lattice2(A)) & v16_lattices(k1_lattice2(A)) & l3_lattices(k1_lattice2(A)) & v15_lattices(k1_lattice2(A)) & -v3_struct_0(k1_lattice2(A))))) # label(t53_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2806 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m2_lattice4(B,A) & -v1_xboole_0(B) -> (m2_filter_2(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(k3_lattices(A,C,D),B) <-> r2_hidden(D,B) & r2_hidden(C,B))))))))))) # label(d3_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2807 (all A all B (-v3_struct_0(A) & l3_lattices(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) & v10_lattices(A) -> m1_subset_1(k8_filter_2(A,B),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k8_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2808 (all A all B (m1_subset_1(B,u1_struct_0(A)) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> m1_filter_2(k2_filter_2(A,B),A))) # label(dt_k2_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2809 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (m2_filter_2(k6_domain_1(u1_struct_0(A),B),A) -> v13_lattices(A)))))) # label(t27_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2810 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) -> (exists C (r2_hidden(C,B) & m1_subset_1(C,u1_struct_0(A)))))))) # label(t24_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2811 (all A all B (-v1_xboole_0(B) & m2_lattice4(B,A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> m2_lattice4(k10_filter_2(A,B),k1_lattice2(A)) & -v1_xboole_0(k10_filter_2(A,B)))) # label(dt_k10_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2812 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (all C (m2_filter_2(C,A) -> ((all D (m2_filter_2(D,A) -> (r1_tarski(B,D) -> r1_tarski(C,D)))) & r1_tarski(B,C) <-> C = k19_filter_2(A,B)))))))) # label(d11_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2813 (all A all B (m2_filter_2(B,k1_lattice2(A)) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> k16_filter_2(A,B) = k8_filter_2(A,B))) # label(redefinition_k16_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2814 (all A all B all C (-v3_struct_0(A) & -v1_xboole_0(B) & -v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l3_lattices(A) & v10_lattices(A) -> m1_subset_1(k20_filter_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k20_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2815 (all A all B (-v3_struct_0(A) & l3_lattices(A) & m2_nat_lat(B,A) & v10_lattices(A) -> k24_filter_2(A,B) = k1_lattice2(B))) # label(redefinition_k24_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2816 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) -> r1_filter_2(u1_struct_0(A),k19_filter_2(A,k4_subset_1(u1_struct_0(A),B,C)),k19_filter_2(A,k4_subset_1(u1_struct_0(A),k19_filter_2(A,B),C))) & r1_filter_2(u1_struct_0(A),k19_filter_2(A,k4_subset_1(u1_struct_0(A),B,C)),k19_filter_2(A,k4_subset_1(u1_struct_0(A),B,k19_filter_2(A,C)))))))))) # label(t49_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2817 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (r2_hidden(k6_lattices(A),B) & v14_lattices(A) -> u1_struct_0(A) = k19_filter_2(A,B) & r1_filter_2(u1_struct_0(A),k19_filter_2(A,B),k17_filter_2(A))))))) # label(t42_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2818 (all A all B (m2_filter_2(B,A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> m1_filter_2(k15_filter_2(A,B),k1_lattice2(A)))) # label(dt_k15_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2819 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l3_lattices(B) & v10_lattices(B) -> (g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) -> (all C (m2_filter_2(C,A) -> m2_filter_2(C,B)))))))) # label(t17_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2820 (all A all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> m1_filter_2(k3_filter_2(A,B),A))) # label(dt_k3_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2821 (all A (l3_lattices(A) -> (all B (l3_lattices(B) -> (g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) -> k1_lattice2(A) = k1_lattice2(B)))))) # label(t6_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2822 (all A (v13_lattices(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l3_lattices(B) & v13_lattices(B) & v10_lattices(B) -> (g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) -> k5_lattices(A) = k5_lattices(B)))))) # label(t9_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2823 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> r1_filter_2(A,B,B))) # label(reflexivity_r1_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2824 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m2_filter_2(B,A) -> (r2_filter_2(A,B) <-> v1_filter_0(k15_filter_2(A,B),k1_lattice2(A))))))) # label(t33_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2825 (all A all B (v10_lattices(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) & l3_lattices(A) & -v3_struct_0(A) -> -v1_xboole_0(k8_filter_2(A,B)))) # label(fc2_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2826 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m2_filter_2(B,A) -> r1_filter_2(u1_struct_0(A),k19_filter_2(A,B),B))))) # label(t38_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2827 (all A all B (v10_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & l3_lattices(A) & -v3_struct_0(A) -> k2_filter_2(A,B) = k2_filter_0(A,B))) # label(redefinition_k2_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2828 (all A all B (l3_lattices(A) & m1_filter_0(B,k1_lattice2(A)) & v10_lattices(A) & -v3_struct_0(A) -> m2_filter_2(k14_filter_2(A,B),A))) # label(dt_k14_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2829 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_2(B,k1_lattice2(A)) <-> m2_filter_2(B,A))))) # label(t21_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.05	2830 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> m2_filter_2(k17_filter_2(A),A))) # label(dt_k17_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2831 (all A (l3_lattices(A) & v17_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) & v17_lattices(B) -> (g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (C = D -> k7_lattices(B,D) = k7_lattices(A,C))))))))))) # label(t12_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2832 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) -> (v13_lattices(A) -> r2_hidden(k5_lattices(A),B)))))) # label(t25_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2833 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> a_2_0_filter_2(A,B) = k18_filter_2(A,B))))) # label(d9_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2834 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) -> ((all C (m2_filter_2(C,A) -> (r1_tarski(B,C) -> C = u1_struct_0(A) | r1_filter_2(u1_struct_0(A),B,C)))) & B != u1_struct_0(A) <-> r2_filter_2(A,B)))))) # label(d10_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2835 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (-v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) & D = C -> k3_filter_2(B,D) = k3_filter_2(A,C) & k19_filter_2(B,D) = k19_filter_2(A,C)))))))))) # label(l48_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2836 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_filter_0(B,A) <-> m1_filter_2(B,A))))) # label(redefinition_m1_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2837 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (exists B m1_filter_2(B,A)))) # label(existence_m1_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2838 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> m1_filter_2(k1_filter_2(A),A))) # label(dt_k1_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2839 (all A (v17_lattices(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(k1_lattice2(A))) -> k7_lattices(k1_lattice2(A),C) = k7_lattices(A,k6_filter_2(A,C)) & k7_lattices(A,B) = k7_lattices(k1_lattice2(A),k5_filter_2(A,B)))))))) # label(t55_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2840 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) -> (all D (m2_relset_1(D,k2_zfmisc_1(A,A),A) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & v1_funct_1(D) -> (all E (m2_relset_1(E,k2_zfmisc_1(B,B),B) & v1_funct_2(E,k2_zfmisc_1(B,B),B) & v1_funct_1(E) -> (all F (m2_relset_1(F,k2_zfmisc_1(B,B),B) & v1_funct_2(F,k2_zfmisc_1(B,B),B) & v1_funct_1(F) -> (k1_realset1(C,B) = E & r6_binop_1(A,C,D) & k1_realset1(D,B) = F -> r6_binop_1(B,E,F)))))))))))))) # label(t4_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2841 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> -(u1_struct_0(A) = k18_filter_2(A,B) & -(all C (m1_subset_1(C,u1_struct_0(A)) -> B = k3_lattices(A,B,C)))))))) # label(t35_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2842 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) -> B = k8_filter_2(A,B))))) # label(d7_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2843 (all A all B (-v3_struct_0(A) & m1_filter_0(B,A) & l3_lattices(A) & v10_lattices(A) -> m2_filter_2(k13_filter_2(A,B),k1_lattice2(A)))) # label(dt_k13_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2844 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (-v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) -> (all E (-v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) -> k20_filter_2(k1_lattice2(A),k7_filter_2(A,B),k7_filter_2(A,C)) = k5_filter_0(A,B,C) & k20_filter_2(k1_lattice2(A),D,E) = k5_filter_0(A,k8_filter_2(A,D),k8_filter_2(A,E)) & k20_filter_2(A,k8_filter_2(A,D),k8_filter_2(A,E)) = k5_filter_0(k1_lattice2(A),D,E) & k20_filter_2(A,B,C) = k5_filter_0(k1_lattice2(A),k7_filter_2(A,B),k7_filter_2(A,C)))))))))))) # label(t45_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2845 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(B,k18_filter_2(A,C)) <-> r3_lattices(A,B,C)))))))) # label(t29_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2846 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m2_nat_lat(B,A) -> v3_lattices(k24_filter_2(A,B)) & m2_nat_lat(k24_filter_2(A,B),k1_lattice2(A)))) # label(dt_k24_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2847 (all A all B (l3_lattices(A) & m2_filter_2(B,k1_lattice2(A)) & v10_lattices(A) & -v3_struct_0(A) -> m1_filter_2(k16_filter_2(A,B),A))) # label(dt_k16_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2848 (all A all B (v10_lattices(A) & m2_lattice4(B,k1_lattice2(A)) & -v1_xboole_0(B) & l3_lattices(A) & -v3_struct_0(A) -> -v1_xboole_0(k12_filter_2(A,B)) & m2_lattice4(k12_filter_2(A,B),A))) # label(dt_k12_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2849 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(D) -> (all E (-v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(C,E) & r2_hidden(B,D) -> r2_hidden(k3_lattices(A,C,B),k20_filter_2(A,D,E)) & r2_hidden(k3_lattices(A,B,C),k20_filter_2(A,D,E))))))))))))) # label(t46_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2850 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) -> (all D (-v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -((all E (m1_subset_1(E,u1_struct_0(A)) -> (all F (m1_subset_1(F,u1_struct_0(A)) -> -(r2_hidden(F,D) & r2_hidden(E,C) & B = k3_lattices(A,E,F)))))) & r2_hidden(B,k20_filter_2(A,C,D))))))))) # label(t47_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2851 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(C,B) & r2_hidden(D,B) <-> r2_hidden(k4_lattices(A,C,D),B)))))) -> m2_lattice4(B,A)))))) # label(t13_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2852 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_filter_0(B,A) -> k7_filter_2(A,B) = k13_filter_2(A,B))) # label(redefinition_k13_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2853 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (-v3_struct_0(B) & l3_lattices(B) & v10_lattices(B) -> (g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) -> (all C (m1_filter_2(C,A) -> m1_filter_2(C,B)))))))) # label(t16_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2854 (all A all B (-v3_struct_0(A) & v10_lattices(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l3_lattices(A) -> m1_subset_1(k7_filter_2(A,B),k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))))) # label(dt_k7_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2855 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) -> r1_filter_2(u1_struct_0(A),k20_filter_2(A,B,C),k20_filter_2(A,C,B)))))))) # label(t48_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2856 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) -> k3_filter_2(A,k8_filter_2(A,C)) = k19_filter_2(k1_lattice2(A),C) & k3_filter_2(k1_lattice2(A),C) = k19_filter_2(A,k8_filter_2(A,C)) & k19_filter_2(k1_lattice2(A),k7_filter_2(A,B)) = k3_filter_2(A,B) & k3_filter_2(k1_lattice2(A),k7_filter_2(A,B)) = k19_filter_2(A,B))))))) # label(t37_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2857 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) -> (all D (v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & m2_relset_1(D,k2_zfmisc_1(B,B),B) -> (k1_realset1(C,B) = D -> (v1_binop_1(C,A) -> v1_binop_1(D,B)) & (v2_binop_1(C,A) -> v2_binop_1(D,B)) & (v3_binop_1(C,A) -> v3_binop_1(D,B))))))))))) # label(t1_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2858 (all A all B all C (v11_lattices(A) & m1_filter_0(C,A) & m1_filter_0(B,A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> m1_filter_2(k4_filter_2(A,B,C),A))) # label(dt_k4_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2859 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (v14_lattices(A) -> (all B (m2_filter_2(B,A) -> -((all C (m2_filter_2(C,A) -> -(r2_filter_2(A,C) & r1_tarski(B,C)))) & B != u1_struct_0(A))))))) # label(t34_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2860 (all A (-v3_struct_0(A) & l3_lattices(A) & v17_lattices(A) & v10_lattices(A) -> v4_lattices(k1_lattice2(A)) & v5_lattices(k1_lattice2(A)) & v6_lattices(k1_lattice2(A)) & v7_lattices(k1_lattice2(A)) & v9_lattices(k1_lattice2(A)) & v10_lattices(k1_lattice2(A)) & v11_lattices(k1_lattice2(A)) & v17_lattices(k1_lattice2(A)) & v16_lattices(k1_lattice2(A)) & v15_lattices(k1_lattice2(A)) & v14_lattices(k1_lattice2(A)) & v13_lattices(k1_lattice2(A)) & v12_lattices(k1_lattice2(A)) & v8_lattices(k1_lattice2(A)) & v3_lattices(k1_lattice2(A)) & -v3_struct_0(k1_lattice2(A)))) # label(fc4_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2861 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k5_filter_2(A,B) = B)))) # label(d4_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2862 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m2_filter_2(B,A) -> (all C (m2_filter_2(C,A) -> a_3_1_filter_2(A,B,C) = k19_filter_2(A,k4_subset_1(u1_struct_0(A),B,C)))))))) # label(t50_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2863 (all A all B (v10_lattices(A) & l3_lattices(A) & m2_lattice4(B,A) & -v1_xboole_0(B) & -v3_struct_0(A) -> m2_nat_lat(k23_filter_2(A,B),A))) # label(dt_k23_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2864 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(k1_lattice2(A))) -> (all E (m1_subset_1(E,u1_struct_0(k1_lattice2(A))) -> (r3_lattices(k1_lattice2(A),k5_filter_2(A,C),k5_filter_2(A,B)) -> r3_lattices(A,B,C)) & (r3_lattices(A,k6_filter_2(A,E),k6_filter_2(A,D)) -> r3_lattices(k1_lattice2(A),D,E)) & (r3_lattices(k1_lattice2(A),D,E) -> r3_lattices(A,k6_filter_2(A,E),k6_filter_2(A,D))) & (r3_lattices(A,B,C) -> r3_lattices(k1_lattice2(A),k5_filter_2(A,C),k5_filter_2(A,B))))))))))))) # label(t20_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2865 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> -((all C (m2_filter_2(C,A) -> -(r2_filter_2(A,C) & r2_hidden(B,C)))) & k6_lattices(A) != B & v14_lattices(A)))))) # label(t36_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2866 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (v14_lattices(A) -> r1_filter_2(u1_struct_0(A),k17_filter_2(A),k18_filter_2(A,k6_lattices(A)))))) # label(t32_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2867 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v14_lattices(A) -> (all B (l3_lattices(B) & v14_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) -> k6_lattices(A) = k6_lattices(B)))))) # label(t10_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2868 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (v13_lattices(A) -> m2_filter_2(k6_domain_1(u1_struct_0(A),k5_lattices(A)),A)))) # label(t26_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2869 (all A all B (-v3_struct_0(A) & l3_lattices(A) & m2_filter_2(B,A) & v10_lattices(A) -> k7_filter_2(A,B) = k15_filter_2(A,B))) # label(redefinition_k15_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2870 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v17_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k7_lattices(k1_lattice2(A),k5_filter_2(A,B)) = k7_lattices(A,B))))) # label(l70_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2871 (all A all B (-v3_struct_0(A) & l3_lattices(A) & m2_lattice4(B,k1_lattice2(A)) & v10_lattices(A) -> m2_lattice4(k11_filter_2(A,B),A))) # label(dt_k11_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2872 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> m2_filter_2(u1_struct_0(A),A))) # label(t28_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2873 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m2_filter_2(D,A) -> (r2_hidden(B,D) -> r2_hidden(k4_lattices(A,C,B),D) & r2_hidden(k4_lattices(A,B,C),D)))))))))) # label(t23_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2874 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(k3_lattices(A,C,D),B) <-> r2_hidden(D,B) & r2_hidden(C,B)))))) -> m2_lattice4(B,A)))))) # label(t14_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2875 (all A all B (-v3_struct_0(A) & v10_lattices(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l3_lattices(A) -> k3_filter_0(A,B) = k3_filter_2(A,B))) # label(redefinition_k3_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2876 (all A all B (-v3_struct_0(A) & m2_lattice4(B,A) & l3_lattices(A) & v10_lattices(A) -> m2_lattice4(k9_filter_2(A,B),k1_lattice2(A)))) # label(dt_k9_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2877 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(B,k1_zfmisc_1(A)) -> (B = C <-> r1_filter_2(A,B,C)))) # label(redefinition_r1_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2878 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_filter_2(u1_struct_0(A),C,k6_domain_1(u1_struct_0(A),B)) -> r1_filter_2(u1_struct_0(A),k19_filter_2(A,C),k18_filter_2(A,B))))))))) # label(t41_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2879 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m2_filter_2(B,A) -> (all C (m2_filter_2(C,A) -> r1_filter_2(u1_struct_0(A),k19_filter_2(A,k4_subset_1(u1_struct_0(A),B,C)),k19_filter_2(A,k20_filter_2(A,B,C))))))))) # label(t52_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.83/6.06	2880 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) -> (all D (v1_funct_2(D,k2_zfmisc_1(A,A),A) & m2_relset_1(D,k2_zfmisc_1(A,A),A) & v1_funct_1(D) -> (all E (v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,B),B) & m2_relset_1(E,k2_zfmisc_1(B,B),B) -> (all F (v1_funct_2(F,k2_zfmisc_1(B,B),B) & m2_relset_1(F,k2_zfmisc_1(B,B),B) & v1_funct_1(F) -> (E = k1_realset1(C,B) & k1_realset1(D,B) = F & r1_lattice2(A,C,D) -> r1_lattice2(B,E,F)))))))))))))) # label(t5_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.90/6.06	2881 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> k1_filter_0(A) = k1_filter_2(A))) # label(redefinition_k1_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.90/6.06	2882 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m2_filter_2(B,A) -> m2_lattice4(B,A) & -v1_xboole_0(B))))) # label(dt_m2_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.90/6.06	2883 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) -> (all C (m2_filter_2(C,A) -> r1_tarski(C,k20_filter_2(A,B,C)) & r1_tarski(B,k20_filter_2(A,B,C)))))))) # label(t51_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.90/6.06	2884 (all A all B (v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & -v3_struct_0(A) -> -v1_xboole_0(k7_filter_2(A,B)))) # label(fc1_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.90/6.06	2885 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) -> (v1_filter_2(B,A) <-> v2_filter_0(k15_filter_2(A,B),k1_lattice2(A))))))) # label(t44_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.90/6.06	2886 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(D) -> r1_tarski(k19_filter_2(A,k19_filter_2(A,B)),k19_filter_2(A,B)) & (r1_tarski(C,D) -> r1_tarski(k19_filter_2(A,C),k19_filter_2(A,D))))))))))) # label(t39_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.90/6.06	2887 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) -> (r2_hidden(B,C) -> r1_tarski(k18_filter_2(A,B),k19_filter_2(A,C))))))))) # label(t40_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.90/6.06	2888 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) -> k20_filter_2(A,B,C) = a_3_0_filter_2(A,B,C))))))) # label(d13_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.90/6.06	2889 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> ((all D (m1_subset_1(D,A) -> (r2_hidden(D,C) <-> r2_hidden(D,B)))) <-> r1_filter_2(A,B,C)))))))) # label(d1_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.90/6.06	2890 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) -> (v1_filter_2(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,B) | r2_hidden(C,B) <-> r2_hidden(k4_lattices(A,C,D),B))))))))))) # label(d12_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.90/6.06	2891 (all A all B (v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & -v3_struct_0(A) -> m1_subset_1(k5_filter_2(A,B),u1_struct_0(k1_lattice2(A))))) # label(dt_k5_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.90/6.06	2892 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v17_lattices(A) -> (all B (m2_filter_2(B,A) -> (u1_struct_0(A) != B & (all C (m1_subset_1(C,u1_struct_0(A)) -> r2_hidden(C,B) | r2_hidden(k7_lattices(A,C),B))) <-> r2_filter_2(A,B)))))) # label(t57_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.90/6.06	2893 (all A (l3_lattices(A) & -v3_struct_0(A) -> (all B (l3_lattices(B) & -v3_struct_0(B) -> (g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (all F (m1_subset_1(F,u1_struct_0(B)) -> (D = F & E = C -> k1_lattices(A,C,D) = k1_lattices(B,E,F) & k2_lattices(A,C,D) = k2_lattices(B,E,F) & (r1_lattices(B,E,F) -> r1_lattices(A,C,D)) & (r1_lattices(A,C,D) -> r1_lattices(B,E,F)))))))))))))))) # label(t8_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.90/6.06	2894 (all A all B all C (-v3_struct_0(A) & v10_lattices(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) & -v1_xboole_0(B) & l3_lattices(A) -> -v1_xboole_0(k20_filter_2(A,B,C)))) # label(fc3_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.90/6.06	2895 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> k17_filter_2(A) = u1_struct_0(A))) # label(d8_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.90/6.06	2896 $T # label(d2_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.90/6.06	2897 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(k1_lattice2(A))) -> C = k5_filter_2(A,k6_filter_2(A,C)) & B = k6_filter_2(A,k5_filter_2(A,B)))))))) # label(t18_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.90/6.06	2898 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m2_filter_2(B,A) -> (v14_lattices(A) & r2_hidden(k6_lattices(A),B) -> r1_filter_2(u1_struct_0(A),B,k17_filter_2(A)) & u1_struct_0(A) = B))))) # label(t43_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.90/6.06	2899 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) -> (all D (-v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (-v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) -> (all F (-v1_xboole_0(F) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) -> (E = C & F = D & g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) -> k5_filter_0(B,E,F) = k5_filter_0(A,C,D)))))))))))))) # label(l59_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.90/6.06	2900 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (exists B m2_filter_2(B,A)))) # label(existence_m2_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.90/6.06	2901 (all A all B (-v3_struct_0(A) & v10_lattices(A) & m2_lattice4(B,k1_lattice2(A)) & l3_lattices(A) -> k8_filter_2(A,B) = k11_filter_2(A,B))) # label(redefinition_k11_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.90/6.06	2902 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (-v3_struct_0(k1_lattice2(A)) & l3_lattices(k1_lattice2(A)) & v17_lattices(k1_lattice2(A)) & v10_lattices(k1_lattice2(A)) <-> -v3_struct_0(A) & l3_lattices(A) & v17_lattices(A) & v10_lattices(A)))) # label(t54_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.90/6.06	2903 (all A all B (v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(k1_lattice2(A))) & -v3_struct_0(A) -> m1_subset_1(k6_filter_2(A,B),u1_struct_0(A)))) # label(dt_k6_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.90/6.06	2904 (all A all B all C (-v3_struct_0(A) & l3_lattices(A) & m2_filter_2(C,A) & m2_filter_2(B,A) & v11_lattices(A) & v10_lattices(A) -> k20_filter_2(A,B,C) = k21_filter_2(A,B,C))) # label(redefinition_k21_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.90/6.06	2905 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(C,B) & r2_hidden(D,B) <-> r2_hidden(k3_lattices(A,C,D),B)))))) -> m2_filter_2(B,A)))))) # label(t15_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.90/6.06	2906 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> B = k7_filter_2(A,B))))) # label(d6_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.90/6.06	2907 (all A all B (l3_lattices(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v10_lattices(A) & -v3_struct_0(A) -> m2_filter_2(k19_filter_2(A,B),A))) # label(dt_k19_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.90/6.06	2908 (all A (-v3_struct_0(A) & v10_lattices(A) & v15_lattices(A) & v16_lattices(A) & l3_lattices(A) -> (all B (l3_lattices(B) & v16_lattices(B) & v15_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (all F (m1_subset_1(F,u1_struct_0(B)) -> (r2_lattices(A,C,D) & D = F & C = E -> r2_lattices(B,E,F))))))))))))))) # label(t11_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.90/6.06	2909 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v17_lattices(A) -> (all B (m2_filter_2(B,A) -> (all C (m2_filter_2(C,A) -> r1_filter_2(u1_struct_0(A),k19_filter_2(A,k4_subset_1(u1_struct_0(A),B,C)),k21_filter_2(A,B,C)))))))) # label(t56_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.90/6.06	2910 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_2(B,A) -> -v1_xboole_0(B) & m2_lattice4(B,A))))) # label(dt_m1_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.90/6.06	2911 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> (all D (m2_relset_1(D,k2_zfmisc_1(A,A),A) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & v1_funct_1(D) -> (all E (v1_funct_1(E) & m2_relset_1(E,k2_zfmisc_1(B,B),B) & v1_funct_2(E,k2_zfmisc_1(B,B),B) -> (all F (v1_funct_2(F,k2_zfmisc_1(B,B),B) & m2_relset_1(F,k2_zfmisc_1(B,B),B) & v1_funct_1(F) -> (F = k1_realset1(D,B) & E = k1_realset1(C,B) -> (r4_binop_1(A,C,D) -> r4_binop_1(B,E,F)) & (r5_binop_1(A,C,D) -> r5_binop_1(B,E,F))))))))))))))) # label(t3_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.90/6.06	2912 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) -> (all D (v1_funct_2(D,k2_zfmisc_1(B,B),B) & m2_relset_1(D,k2_zfmisc_1(B,B),B) & v1_funct_1(D) -> (all E (m1_subset_1(E,A) -> (all F (m2_subset_1(F,A,B) -> (k1_realset1(C,B) = D & F = E -> (r3_binop_1(A,E,C) -> r3_binop_1(B,F,D)) & (r2_binop_1(A,E,C) -> r2_binop_1(B,F,D)) & (r1_binop_1(A,E,C) -> r1_binop_1(B,F,D))))))))))))))) # label(t2_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.90/6.06	2913 (all A all B (m2_lattice4(B,A) & -v1_xboole_0(B) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> k7_filter_2(A,B) = k10_filter_2(A,B))) # label(redefinition_k10_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.90/6.06	2914 (all A all B all C (-v3_struct_0(A) & v10_lattices(A) & v11_lattices(A) & m1_filter_0(C,A) & m1_filter_0(B,A) & l3_lattices(A) -> k5_filter_0(A,B,C) = k4_filter_2(A,B,C))) # label(redefinition_k4_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.90/6.06	2915 (all A all B (-v3_struct_0(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & v10_lattices(A) -> m2_filter_2(k18_filter_2(A,B),A))) # label(dt_k18_filter_2) # label(axiom) # label(non_clause).  [assumption].
5.90/6.06	2916 -(all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v17_lattices(A) -> (all B (m2_filter_2(B,A) -> (r2_filter_2(A,B) <-> k17_filter_2(A) != B & v1_filter_2(B,A)))))) # label(t58_filter_2) # label(negated_conjecture) # label(non_clause).  [assumption].
5.90/6.06	
5.90/6.06	============================== end of process non-clausal formulas ===
5.90/6.06	
5.90/6.06	============================== PROCESS INITIAL CLAUSES ===============
6.54/6.76	
6.54/6.76	============================== PREDICATE ELIMINATION =================
6.54/6.76	2917 -r2_tarski(A,B) | r2_hidden(k4_tarski(f10(A,B,C),C),f9(A,B)) | -r2_hidden(C,B) # label(d6_tarski) # label(axiom).  [clausify(11)].
6.54/6.76	2918 r2_tarski(A,f7(B)) | r2_hidden(A,f7(B)) | -r1_tarski(A,f7(B)) # label(t9_tarski) # label(axiom).  [clausify(10)].
6.54/6.76	Derived: r2_hidden(k4_tarski(f10(A,f7(B),C),C),f9(A,f7(B))) | -r2_hidden(C,f7(B)) | r2_hidden(A,f7(B)) | -r1_tarski(A,f7(B)).  [resolve(2917,a,2918,a)].
6.54/6.76	2919 -r2_tarski(A,B) | r2_hidden(f10(A,B,C),A) | -r2_hidden(C,B) # label(d6_tarski) # label(axiom).  [clausify(11)].
6.54/6.76	Derived: r2_hidden(f10(A,f7(B),C),A) | -r2_hidden(C,f7(B)) | r2_hidden(A,f7(B)) | -r1_tarski(A,f7(B)).  [resolve(2919,a,2918,a)].
6.54/6.76	2920 -r2_tarski(A,B) | -r2_hidden(k4_tarski(C,D),f9(A,B)) | -r2_hidden(k4_tarski(E,F),f9(A,B)) | C != E | D = F # label(d6_tarski) # label(axiom).  [clausify(11)].
6.54/6.76	Derived: -r2_hidden(k4_tarski(A,B),f9(C,f7(D))) | -r2_hidden(k4_tarski(E,F),f9(C,f7(D))) | A != E | B = F | r2_hidden(C,f7(D)) | -r1_tarski(C,f7(D)).  [resolve(2920,a,2918,a)].
6.54/6.76	2921 -r2_tarski(A,B) | -r2_hidden(k4_tarski(C,D),f9(A,B)) | -r2_hidden(k4_tarski(E,F),f9(A,B)) | C = E | D != F # label(d6_tarski) # label(axiom).  [clausify(11)].
6.54/6.76	Derived: -r2_hidden(k4_tarski(A,B),f9(C,f7(D))) | -r2_hidden(k4_tarski(E,F),f9(C,f7(D))) | A = E | B != F | r2_hidden(C,f7(D)) | -r1_tarski(C,f7(D)).  [resolve(2921,a,2918,a)].
6.54/6.76	2922 -r2_tarski(A,B) | r2_hidden(f11(A,B,C),B) | -r2_hidden(C,A) # label(d6_tarski) # label(axiom).  [clausify(11)].
6.54/6.76	Derived: r2_hidden(f11(A,f7(B),C),f7(B)) | -r2_hidden(C,A) | r2_hidden(A,f7(B)) | -r1_tarski(A,f7(B)).  [resolve(2922,a,2918,a)].
6.54/6.76	2923 -r2_tarski(A,B) | r2_hidden(k4_tarski(C,f11(A,B,C)),f9(A,B)) | -r2_hidden(C,A) # label(d6_tarski) # label(axiom).  [clausify(11)].
6.54/6.76	Derived: r2_hidden(k4_tarski(A,f11(B,f7(C),A)),f9(B,f7(C))) | -r2_hidden(A,B) | r2_hidden(B,f7(C)) | -r1_tarski(B,f7(C)).  [resolve(2923,a,2918,a)].
6.54/6.76	2924 r2_tarski(A,B) | -r2_hidden(k4_tarski(C,f12(A,B,D)),D) | -r2_hidden(C,A) | r2_hidden(k4_tarski(f15(A,B,D),f16(A,B,D)),D) | -r2_hidden(E,B) | -r2_hidden(k4_tarski(f17(A,B,D),E),D) # label(d6_tarski) # label(axiom).  [clausify(11)].
6.54/6.76	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | r2_hidden(k4_tarski(f15(B,C,D),f16(B,C,D)),D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f17(B,C,D),E),D) | r2_hidden(k4_tarski(f10(B,C,F),F),f9(B,C)) | -r2_hidden(F,C).  [resolve(2924,a,2917,a)].
6.54/6.76	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | r2_hidden(k4_tarski(f15(B,C,D),f16(B,C,D)),D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f17(B,C,D),E),D) | r2_hidden(f10(B,C,F),B) | -r2_hidden(F,C).  [resolve(2924,a,2919,a)].
6.54/6.76	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | r2_hidden(k4_tarski(f15(B,C,D),f16(B,C,D)),D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f17(B,C,D),E),D) | -r2_hidden(k4_tarski(F,V6),f9(B,C)) | -r2_hidden(k4_tarski(V7,V8),f9(B,C)) | F != V7 | V6 = V8.  [resolve(2924,a,2920,a)].
6.54/6.76	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | r2_hidden(k4_tarski(f15(B,C,D),f16(B,C,D)),D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f17(B,C,D),E),D) | -r2_hidden(k4_tarski(F,V6),f9(B,C)) | -r2_hidden(k4_tarski(V7,V8),f9(B,C)) | F = V7 | V6 != V8.  [resolve(2924,a,2921,a)].
6.54/6.76	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | r2_hidden(k4_tarski(f15(B,C,D),f16(B,C,D)),D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f17(B,C,D),E),D) | r2_hidden(f11(B,C,F),C) | -r2_hidden(F,B).  [resolve(2924,a,2922,a)].
6.54/6.76	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | r2_hidden(k4_tarski(f15(B,C,D),f16(B,C,D)),D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f17(B,C,D),E),D) | r2_hidden(k4_tarski(F,f11(B,C,F)),f9(B,C)) | -r2_hidden(F,B).  [resolve(2924,a,2923,a)].
6.54/6.76	2925 r2_tarski(A,B) | -r2_hidden(k4_tarski(C,f12(A,B,D)),D) | -r2_hidden(C,A) | r2_hidden(k4_tarski(f15(A,B,D),f16(A,B,D)),D) | r2_hidden(f17(A,B,D),A) # label(d6_tarski) # label(axiom).  [clausify(11)].
6.54/6.76	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | r2_hidden(k4_tarski(f15(B,C,D),f16(B,C,D)),D) | r2_hidden(f17(B,C,D),B) | r2_hidden(k4_tarski(f10(B,C,E),E),f9(B,C)) | -r2_hidden(E,C).  [resolve(2925,a,2917,a)].
6.54/6.79	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | r2_hidden(k4_tarski(f15(B,C,D),f16(B,C,D)),D) | r2_hidden(f17(B,C,D),B) | r2_hidden(f10(B,C,E),B) | -r2_hidden(E,C).  [resolve(2925,a,2919,a)].
6.54/6.79	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | r2_hidden(k4_tarski(f15(B,C,D),f16(B,C,D)),D) | r2_hidden(f17(B,C,D),B) | -r2_hidden(k4_tarski(E,F),f9(B,C)) | -r2_hidden(k4_tarski(V6,V7),f9(B,C)) | E != V6 | F = V7.  [resolve(2925,a,2920,a)].
6.54/6.79	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | r2_hidden(k4_tarski(f15(B,C,D),f16(B,C,D)),D) | r2_hidden(f17(B,C,D),B) | -r2_hidden(k4_tarski(E,F),f9(B,C)) | -r2_hidden(k4_tarski(V6,V7),f9(B,C)) | E = V6 | F != V7.  [resolve(2925,a,2921,a)].
6.54/6.79	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | r2_hidden(k4_tarski(f15(B,C,D),f16(B,C,D)),D) | r2_hidden(f17(B,C,D),B) | r2_hidden(f11(B,C,E),C) | -r2_hidden(E,B).  [resolve(2925,a,2922,a)].
6.54/6.79	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | r2_hidden(k4_tarski(f15(B,C,D),f16(B,C,D)),D) | r2_hidden(f17(B,C,D),B) | r2_hidden(k4_tarski(E,f11(B,C,E)),f9(B,C)) | -r2_hidden(E,B).  [resolve(2925,a,2923,a)].
6.54/6.79	2926 r2_tarski(A,B) | -r2_hidden(k4_tarski(C,f12(A,B,D)),D) | -r2_hidden(C,A) | r2_hidden(k4_tarski(f13(A,B,D),f14(A,B,D)),D) | -r2_hidden(E,B) | -r2_hidden(k4_tarski(f17(A,B,D),E),D) # label(d6_tarski) # label(axiom).  [clausify(11)].
6.54/6.79	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | r2_hidden(k4_tarski(f13(B,C,D),f14(B,C,D)),D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f17(B,C,D),E),D) | r2_hidden(k4_tarski(f10(B,C,F),F),f9(B,C)) | -r2_hidden(F,C).  [resolve(2926,a,2917,a)].
6.54/6.79	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | r2_hidden(k4_tarski(f13(B,C,D),f14(B,C,D)),D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f17(B,C,D),E),D) | r2_hidden(f10(B,C,F),B) | -r2_hidden(F,C).  [resolve(2926,a,2919,a)].
6.54/6.79	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | r2_hidden(k4_tarski(f13(B,C,D),f14(B,C,D)),D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f17(B,C,D),E),D) | -r2_hidden(k4_tarski(F,V6),f9(B,C)) | -r2_hidden(k4_tarski(V7,V8),f9(B,C)) | F != V7 | V6 = V8.  [resolve(2926,a,2920,a)].
6.54/6.79	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | r2_hidden(k4_tarski(f13(B,C,D),f14(B,C,D)),D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f17(B,C,D),E),D) | -r2_hidden(k4_tarski(F,V6),f9(B,C)) | -r2_hidden(k4_tarski(V7,V8),f9(B,C)) | F = V7 | V6 != V8.  [resolve(2926,a,2921,a)].
6.54/6.79	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | r2_hidden(k4_tarski(f13(B,C,D),f14(B,C,D)),D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f17(B,C,D),E),D) | r2_hidden(f11(B,C,F),C) | -r2_hidden(F,B).  [resolve(2926,a,2922,a)].
6.54/6.79	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | r2_hidden(k4_tarski(f13(B,C,D),f14(B,C,D)),D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f17(B,C,D),E),D) | r2_hidden(k4_tarski(F,f11(B,C,F)),f9(B,C)) | -r2_hidden(F,B).  [resolve(2926,a,2923,a)].
6.54/6.79	2927 r2_tarski(A,B) | -r2_hidden(k4_tarski(C,f12(A,B,D)),D) | -r2_hidden(C,A) | r2_hidden(k4_tarski(f13(A,B,D),f14(A,B,D)),D) | r2_hidden(f17(A,B,D),A) # label(d6_tarski) # label(axiom).  [clausify(11)].
6.54/6.79	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | r2_hidden(k4_tarski(f13(B,C,D),f14(B,C,D)),D) | r2_hidden(f17(B,C,D),B) | r2_hidden(k4_tarski(f10(B,C,E),E),f9(B,C)) | -r2_hidden(E,C).  [resolve(2927,a,2917,a)].
6.54/6.79	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | r2_hidden(k4_tarski(f13(B,C,D),f14(B,C,D)),D) | r2_hidden(f17(B,C,D),B) | r2_hidden(f10(B,C,E),B) | -r2_hidden(E,C).  [resolve(2927,a,2919,a)].
6.54/6.79	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | r2_hidden(k4_tarski(f13(B,C,D),f14(B,C,D)),D) | r2_hidden(f17(B,C,D),B) | -r2_hidden(k4_tarski(E,F),f9(B,C)) | -r2_hidden(k4_tarski(V6,V7),f9(B,C)) | E != V6 | F = V7.  [resolve(2927,a,2920,a)].
6.54/6.79	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | r2_hidden(k4_tarski(f13(B,C,D),f14(B,C,D)),D) | r2_hidden(f17(B,C,D),B) | -r2_hidden(k4_tarski(E,F),f9(B,C)) | -r2_hidden(k4_tarski(V6,V7),f9(B,C)) | E = V6 | F != V7.  [resolve(2927,a,2921,a)].
6.64/6.82	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | r2_hidden(k4_tarski(f13(B,C,D),f14(B,C,D)),D) | r2_hidden(f17(B,C,D),B) | r2_hidden(f11(B,C,E),C) | -r2_hidden(E,B).  [resolve(2927,a,2922,a)].
6.64/6.82	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | r2_hidden(k4_tarski(f13(B,C,D),f14(B,C,D)),D) | r2_hidden(f17(B,C,D),B) | r2_hidden(k4_tarski(E,f11(B,C,E)),f9(B,C)) | -r2_hidden(E,B).  [resolve(2927,a,2923,a)].
6.64/6.82	2928 r2_tarski(A,B) | -r2_hidden(k4_tarski(C,f12(A,B,D)),D) | -r2_hidden(C,A) | f15(A,B,D) = f13(A,B,D) | f16(A,B,D) = f14(A,B,D) | -r2_hidden(E,B) | -r2_hidden(k4_tarski(f17(A,B,D),E),D) # label(d6_tarski) # label(axiom).  [clausify(11)].
6.64/6.82	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | f15(B,C,D) = f13(B,C,D) | f16(B,C,D) = f14(B,C,D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f17(B,C,D),E),D) | r2_hidden(k4_tarski(f10(B,C,F),F),f9(B,C)) | -r2_hidden(F,C).  [resolve(2928,a,2917,a)].
6.64/6.82	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | f15(B,C,D) = f13(B,C,D) | f16(B,C,D) = f14(B,C,D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f17(B,C,D),E),D) | r2_hidden(f10(B,C,F),B) | -r2_hidden(F,C).  [resolve(2928,a,2919,a)].
6.64/6.82	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | f15(B,C,D) = f13(B,C,D) | f16(B,C,D) = f14(B,C,D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f17(B,C,D),E),D) | -r2_hidden(k4_tarski(F,V6),f9(B,C)) | -r2_hidden(k4_tarski(V7,V8),f9(B,C)) | F != V7 | V6 = V8.  [resolve(2928,a,2920,a)].
6.64/6.82	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | f15(B,C,D) = f13(B,C,D) | f16(B,C,D) = f14(B,C,D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f17(B,C,D),E),D) | -r2_hidden(k4_tarski(F,V6),f9(B,C)) | -r2_hidden(k4_tarski(V7,V8),f9(B,C)) | F = V7 | V6 != V8.  [resolve(2928,a,2921,a)].
6.64/6.82	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | f15(B,C,D) = f13(B,C,D) | f16(B,C,D) = f14(B,C,D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f17(B,C,D),E),D) | r2_hidden(f11(B,C,F),C) | -r2_hidden(F,B).  [resolve(2928,a,2922,a)].
6.64/6.82	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | f15(B,C,D) = f13(B,C,D) | f16(B,C,D) = f14(B,C,D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f17(B,C,D),E),D) | r2_hidden(k4_tarski(F,f11(B,C,F)),f9(B,C)) | -r2_hidden(F,B).  [resolve(2928,a,2923,a)].
6.64/6.82	2929 r2_tarski(A,B) | -r2_hidden(k4_tarski(C,f12(A,B,D)),D) | -r2_hidden(C,A) | f15(A,B,D) = f13(A,B,D) | f16(A,B,D) = f14(A,B,D) | r2_hidden(f17(A,B,D),A) # label(d6_tarski) # label(axiom).  [clausify(11)].
6.64/6.82	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | f15(B,C,D) = f13(B,C,D) | f16(B,C,D) = f14(B,C,D) | r2_hidden(f17(B,C,D),B) | r2_hidden(k4_tarski(f10(B,C,E),E),f9(B,C)) | -r2_hidden(E,C).  [resolve(2929,a,2917,a)].
6.64/6.82	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | f15(B,C,D) = f13(B,C,D) | f16(B,C,D) = f14(B,C,D) | r2_hidden(f17(B,C,D),B) | r2_hidden(f10(B,C,E),B) | -r2_hidden(E,C).  [resolve(2929,a,2919,a)].
6.64/6.82	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | f15(B,C,D) = f13(B,C,D) | f16(B,C,D) = f14(B,C,D) | r2_hidden(f17(B,C,D),B) | -r2_hidden(k4_tarski(E,F),f9(B,C)) | -r2_hidden(k4_tarski(V6,V7),f9(B,C)) | E != V6 | F = V7.  [resolve(2929,a,2920,a)].
6.64/6.82	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | f15(B,C,D) = f13(B,C,D) | f16(B,C,D) = f14(B,C,D) | r2_hidden(f17(B,C,D),B) | -r2_hidden(k4_tarski(E,F),f9(B,C)) | -r2_hidden(k4_tarski(V6,V7),f9(B,C)) | E = V6 | F != V7.  [resolve(2929,a,2921,a)].
6.64/6.82	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | f15(B,C,D) = f13(B,C,D) | f16(B,C,D) = f14(B,C,D) | r2_hidden(f17(B,C,D),B) | r2_hidden(f11(B,C,E),C) | -r2_hidden(E,B).  [resolve(2929,a,2922,a)].
6.64/6.82	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | f15(B,C,D) = f13(B,C,D) | f16(B,C,D) = f14(B,C,D) | r2_hidden(f17(B,C,D),B) | r2_hidden(k4_tarski(E,f11(B,C,E)),f9(B,C)) | -r2_hidden(E,B).  [resolve(2929,a,2923,a)].
6.66/6.86	2930 r2_tarski(A,B) | -r2_hidden(k4_tarski(C,f12(A,B,D)),D) | -r2_hidden(C,A) | f15(A,B,D) != f13(A,B,D) | f16(A,B,D) != f14(A,B,D) | -r2_hidden(E,B) | -r2_hidden(k4_tarski(f17(A,B,D),E),D) # label(d6_tarski) # label(axiom).  [clausify(11)].
6.66/6.86	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | f15(B,C,D) != f13(B,C,D) | f16(B,C,D) != f14(B,C,D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f17(B,C,D),E),D) | r2_hidden(k4_tarski(f10(B,C,F),F),f9(B,C)) | -r2_hidden(F,C).  [resolve(2930,a,2917,a)].
6.66/6.86	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | f15(B,C,D) != f13(B,C,D) | f16(B,C,D) != f14(B,C,D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f17(B,C,D),E),D) | r2_hidden(f10(B,C,F),B) | -r2_hidden(F,C).  [resolve(2930,a,2919,a)].
6.66/6.86	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | f15(B,C,D) != f13(B,C,D) | f16(B,C,D) != f14(B,C,D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f17(B,C,D),E),D) | -r2_hidden(k4_tarski(F,V6),f9(B,C)) | -r2_hidden(k4_tarski(V7,V8),f9(B,C)) | F != V7 | V6 = V8.  [resolve(2930,a,2920,a)].
6.66/6.86	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | f15(B,C,D) != f13(B,C,D) | f16(B,C,D) != f14(B,C,D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f17(B,C,D),E),D) | -r2_hidden(k4_tarski(F,V6),f9(B,C)) | -r2_hidden(k4_tarski(V7,V8),f9(B,C)) | F = V7 | V6 != V8.  [resolve(2930,a,2921,a)].
6.66/6.86	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | f15(B,C,D) != f13(B,C,D) | f16(B,C,D) != f14(B,C,D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f17(B,C,D),E),D) | r2_hidden(f11(B,C,F),C) | -r2_hidden(F,B).  [resolve(2930,a,2922,a)].
6.66/6.86	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | f15(B,C,D) != f13(B,C,D) | f16(B,C,D) != f14(B,C,D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f17(B,C,D),E),D) | r2_hidden(k4_tarski(F,f11(B,C,F)),f9(B,C)) | -r2_hidden(F,B).  [resolve(2930,a,2923,a)].
6.66/6.86	2931 r2_tarski(A,B) | -r2_hidden(k4_tarski(C,f12(A,B,D)),D) | -r2_hidden(C,A) | f15(A,B,D) != f13(A,B,D) | f16(A,B,D) != f14(A,B,D) | r2_hidden(f17(A,B,D),A) # label(d6_tarski) # label(axiom).  [clausify(11)].
6.66/6.86	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | f15(B,C,D) != f13(B,C,D) | f16(B,C,D) != f14(B,C,D) | r2_hidden(f17(B,C,D),B) | r2_hidden(k4_tarski(f10(B,C,E),E),f9(B,C)) | -r2_hidden(E,C).  [resolve(2931,a,2917,a)].
6.66/6.86	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | f15(B,C,D) != f13(B,C,D) | f16(B,C,D) != f14(B,C,D) | r2_hidden(f17(B,C,D),B) | r2_hidden(f10(B,C,E),B) | -r2_hidden(E,C).  [resolve(2931,a,2919,a)].
6.66/6.86	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | f15(B,C,D) != f13(B,C,D) | f16(B,C,D) != f14(B,C,D) | r2_hidden(f17(B,C,D),B) | -r2_hidden(k4_tarski(E,F),f9(B,C)) | -r2_hidden(k4_tarski(V6,V7),f9(B,C)) | E != V6 | F = V7.  [resolve(2931,a,2920,a)].
6.66/6.86	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | f15(B,C,D) != f13(B,C,D) | f16(B,C,D) != f14(B,C,D) | r2_hidden(f17(B,C,D),B) | -r2_hidden(k4_tarski(E,F),f9(B,C)) | -r2_hidden(k4_tarski(V6,V7),f9(B,C)) | E = V6 | F != V7.  [resolve(2931,a,2921,a)].
6.66/6.86	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | f15(B,C,D) != f13(B,C,D) | f16(B,C,D) != f14(B,C,D) | r2_hidden(f17(B,C,D),B) | r2_hidden(f11(B,C,E),C) | -r2_hidden(E,B).  [resolve(2931,a,2922,a)].
6.66/6.86	Derived: -r2_hidden(k4_tarski(A,f12(B,C,D)),D) | -r2_hidden(A,B) | f15(B,C,D) != f13(B,C,D) | f16(B,C,D) != f14(B,C,D) | r2_hidden(f17(B,C,D),B) | r2_hidden(k4_tarski(E,f11(B,C,E)),f9(B,C)) | -r2_hidden(E,B).  [resolve(2931,a,2923,a)].
6.66/6.86	2932 r2_tarski(A,B) | r2_hidden(f12(A,B,C),B) | r2_hidden(k4_tarski(f15(A,B,C),f16(A,B,C)),C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f17(A,B,C),D),C) # label(d6_tarski) # label(axiom).  [clausify(11)].
6.66/6.86	Derived: r2_hidden(f12(A,B,C),B) | r2_hidden(k4_tarski(f15(A,B,C),f16(A,B,C)),C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f17(A,B,C),D),C) | r2_hidden(k4_tarski(f10(A,B,E),E),f9(A,B)) | -r2_hidden(E,B).  [resolve(2932,a,2917,a)].
6.66/6.86	Derived: r2_hidden(f12(A,B,C),B) | r2_hidden(k4_tarski(f15(A,B,C),f16(A,B,C)),C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f17(A,B,C),D),C) | r2_hidden(f10(A,B,E),A) | -r2_hidden(E,B).  [resolve(2932,a,2919,a)].
6.66/6.89	Derived: r2_hidden(f12(A,B,C),B) | r2_hidden(k4_tarski(f15(A,B,C),f16(A,B,C)),C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f17(A,B,C),D),C) | -r2_hidden(k4_tarski(E,F),f9(A,B)) | -r2_hidden(k4_tarski(V6,V7),f9(A,B)) | E != V6 | F = V7.  [resolve(2932,a,2920,a)].
6.66/6.89	Derived: r2_hidden(f12(A,B,C),B) | r2_hidden(k4_tarski(f15(A,B,C),f16(A,B,C)),C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f17(A,B,C),D),C) | -r2_hidden(k4_tarski(E,F),f9(A,B)) | -r2_hidden(k4_tarski(V6,V7),f9(A,B)) | E = V6 | F != V7.  [resolve(2932,a,2921,a)].
6.66/6.89	Derived: r2_hidden(f12(A,B,C),B) | r2_hidden(k4_tarski(f15(A,B,C),f16(A,B,C)),C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f17(A,B,C),D),C) | r2_hidden(f11(A,B,E),B) | -r2_hidden(E,A).  [resolve(2932,a,2922,a)].
6.66/6.89	Derived: r2_hidden(f12(A,B,C),B) | r2_hidden(k4_tarski(f15(A,B,C),f16(A,B,C)),C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f17(A,B,C),D),C) | r2_hidden(k4_tarski(E,f11(A,B,E)),f9(A,B)) | -r2_hidden(E,A).  [resolve(2932,a,2923,a)].
6.66/6.89	2933 r2_tarski(A,B) | r2_hidden(f12(A,B,C),B) | r2_hidden(k4_tarski(f15(A,B,C),f16(A,B,C)),C) | r2_hidden(f17(A,B,C),A) # label(d6_tarski) # label(axiom).  [clausify(11)].
6.66/6.89	Derived: r2_hidden(f12(A,B,C),B) | r2_hidden(k4_tarski(f15(A,B,C),f16(A,B,C)),C) | r2_hidden(f17(A,B,C),A) | r2_hidden(k4_tarski(f10(A,B,D),D),f9(A,B)) | -r2_hidden(D,B).  [resolve(2933,a,2917,a)].
6.66/6.89	Derived: r2_hidden(f12(A,B,C),B) | r2_hidden(k4_tarski(f15(A,B,C),f16(A,B,C)),C) | r2_hidden(f17(A,B,C),A) | r2_hidden(f10(A,B,D),A) | -r2_hidden(D,B).  [resolve(2933,a,2919,a)].
6.66/6.89	Derived: r2_hidden(f12(A,B,C),B) | r2_hidden(k4_tarski(f15(A,B,C),f16(A,B,C)),C) | r2_hidden(f17(A,B,C),A) | -r2_hidden(k4_tarski(D,E),f9(A,B)) | -r2_hidden(k4_tarski(F,V6),f9(A,B)) | D != F | E = V6.  [resolve(2933,a,2920,a)].
6.66/6.89	Derived: r2_hidden(f12(A,B,C),B) | r2_hidden(k4_tarski(f15(A,B,C),f16(A,B,C)),C) | r2_hidden(f17(A,B,C),A) | -r2_hidden(k4_tarski(D,E),f9(A,B)) | -r2_hidden(k4_tarski(F,V6),f9(A,B)) | D = F | E != V6.  [resolve(2933,a,2921,a)].
6.66/6.89	Derived: r2_hidden(f12(A,B,C),B) | r2_hidden(k4_tarski(f15(A,B,C),f16(A,B,C)),C) | r2_hidden(f17(A,B,C),A) | r2_hidden(f11(A,B,D),B) | -r2_hidden(D,A).  [resolve(2933,a,2922,a)].
6.66/6.89	Derived: r2_hidden(f12(A,B,C),B) | r2_hidden(k4_tarski(f15(A,B,C),f16(A,B,C)),C) | r2_hidden(f17(A,B,C),A) | r2_hidden(k4_tarski(D,f11(A,B,D)),f9(A,B)) | -r2_hidden(D,A).  [resolve(2933,a,2923,a)].
6.66/6.89	2934 r2_tarski(A,B) | r2_hidden(f12(A,B,C),B) | r2_hidden(k4_tarski(f13(A,B,C),f14(A,B,C)),C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f17(A,B,C),D),C) # label(d6_tarski) # label(axiom).  [clausify(11)].
6.66/6.89	Derived: r2_hidden(f12(A,B,C),B) | r2_hidden(k4_tarski(f13(A,B,C),f14(A,B,C)),C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f17(A,B,C),D),C) | r2_hidden(k4_tarski(f10(A,B,E),E),f9(A,B)) | -r2_hidden(E,B).  [resolve(2934,a,2917,a)].
6.66/6.89	Derived: r2_hidden(f12(A,B,C),B) | r2_hidden(k4_tarski(f13(A,B,C),f14(A,B,C)),C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f17(A,B,C),D),C) | r2_hidden(f10(A,B,E),A) | -r2_hidden(E,B).  [resolve(2934,a,2919,a)].
6.66/6.89	Derived: r2_hidden(f12(A,B,C),B) | r2_hidden(k4_tarski(f13(A,B,C),f14(A,B,C)),C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f17(A,B,C),D),C) | -r2_hidden(k4_tarski(E,F),f9(A,B)) | -r2_hidden(k4_tarski(V6,V7),f9(A,B)) | E != V6 | F = V7.  [resolve(2934,a,2920,a)].
6.66/6.89	Derived: r2_hidden(f12(A,B,C),B) | r2_hidden(k4_tarski(f13(A,B,C),f14(A,B,C)),C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f17(A,B,C),D),C) | -r2_hidden(k4_tarski(E,F),f9(A,B)) | -r2_hidden(k4_tarski(V6,V7),f9(A,B)) | E = V6 | F != V7.  [resolve(2934,a,2921,a)].
6.66/6.89	Derived: r2_hidden(f12(A,B,C),B) | r2_hidden(k4_tarski(f13(A,B,C),f14(A,B,C)),C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f17(A,B,C),D),C) | r2_hidden(f11(A,B,E),B) | -r2_hidden(E,A).  [resolve(2934,a,2922,a)].
6.66/6.89	Derived: r2_hidden(f12(A,B,C),B) | r2_hidden(k4_tarski(f13(A,B,C),f14(A,B,C)),C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f17(A,B,C),D),C) | r2_hidden(k4_tarski(E,f11(A,B,E)),f9(A,B)) | -r2_hidden(E,A).  [resolve(2934,a,2923,a)].
6.66/6.93	2935 r2_tarski(A,B) | r2_hidden(f12(A,B,C),B) | r2_hidden(k4_tarski(f13(A,B,C),f14(A,B,C)),C) | r2_hidden(f17(A,B,C),A) # label(d6_tarski) # label(axiom).  [clausify(11)].
6.66/6.93	Derived: r2_hidden(f12(A,B,C),B) | r2_hidden(k4_tarski(f13(A,B,C),f14(A,B,C)),C) | r2_hidden(f17(A,B,C),A) | r2_hidden(k4_tarski(f10(A,B,D),D),f9(A,B)) | -r2_hidden(D,B).  [resolve(2935,a,2917,a)].
6.66/6.93	Derived: r2_hidden(f12(A,B,C),B) | r2_hidden(k4_tarski(f13(A,B,C),f14(A,B,C)),C) | r2_hidden(f17(A,B,C),A) | r2_hidden(f10(A,B,D),A) | -r2_hidden(D,B).  [resolve(2935,a,2919,a)].
6.66/6.93	Derived: r2_hidden(f12(A,B,C),B) | r2_hidden(k4_tarski(f13(A,B,C),f14(A,B,C)),C) | r2_hidden(f17(A,B,C),A) | -r2_hidden(k4_tarski(D,E),f9(A,B)) | -r2_hidden(k4_tarski(F,V6),f9(A,B)) | D != F | E = V6.  [resolve(2935,a,2920,a)].
6.66/6.93	Derived: r2_hidden(f12(A,B,C),B) | r2_hidden(k4_tarski(f13(A,B,C),f14(A,B,C)),C) | r2_hidden(f17(A,B,C),A) | -r2_hidden(k4_tarski(D,E),f9(A,B)) | -r2_hidden(k4_tarski(F,V6),f9(A,B)) | D = F | E != V6.  [resolve(2935,a,2921,a)].
6.66/6.93	Derived: r2_hidden(f12(A,B,C),B) | r2_hidden(k4_tarski(f13(A,B,C),f14(A,B,C)),C) | r2_hidden(f17(A,B,C),A) | r2_hidden(f11(A,B,D),B) | -r2_hidden(D,A).  [resolve(2935,a,2922,a)].
6.66/6.93	Derived: r2_hidden(f12(A,B,C),B) | r2_hidden(k4_tarski(f13(A,B,C),f14(A,B,C)),C) | r2_hidden(f17(A,B,C),A) | r2_hidden(k4_tarski(D,f11(A,B,D)),f9(A,B)) | -r2_hidden(D,A).  [resolve(2935,a,2923,a)].
6.66/6.93	2936 r2_tarski(A,B) | r2_hidden(f12(A,B,C),B) | f15(A,B,C) = f13(A,B,C) | f16(A,B,C) = f14(A,B,C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f17(A,B,C),D),C) # label(d6_tarski) # label(axiom).  [clausify(11)].
6.66/6.93	Derived: r2_hidden(f12(A,B,C),B) | f15(A,B,C) = f13(A,B,C) | f16(A,B,C) = f14(A,B,C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f17(A,B,C),D),C) | r2_hidden(k4_tarski(f10(A,B,E),E),f9(A,B)) | -r2_hidden(E,B).  [resolve(2936,a,2917,a)].
6.66/6.93	Derived: r2_hidden(f12(A,B,C),B) | f15(A,B,C) = f13(A,B,C) | f16(A,B,C) = f14(A,B,C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f17(A,B,C),D),C) | r2_hidden(f10(A,B,E),A) | -r2_hidden(E,B).  [resolve(2936,a,2919,a)].
6.66/6.93	Derived: r2_hidden(f12(A,B,C),B) | f15(A,B,C) = f13(A,B,C) | f16(A,B,C) = f14(A,B,C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f17(A,B,C),D),C) | -r2_hidden(k4_tarski(E,F),f9(A,B)) | -r2_hidden(k4_tarski(V6,V7),f9(A,B)) | E != V6 | F = V7.  [resolve(2936,a,2920,a)].
6.66/6.93	Derived: r2_hidden(f12(A,B,C),B) | f15(A,B,C) = f13(A,B,C) | f16(A,B,C) = f14(A,B,C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f17(A,B,C),D),C) | -r2_hidden(k4_tarski(E,F),f9(A,B)) | -r2_hidden(k4_tarski(V6,V7),f9(A,B)) | E = V6 | F != V7.  [resolve(2936,a,2921,a)].
6.66/6.93	Derived: r2_hidden(f12(A,B,C),B) | f15(A,B,C) = f13(A,B,C) | f16(A,B,C) = f14(A,B,C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f17(A,B,C),D),C) | r2_hidden(f11(A,B,E),B) | -r2_hidden(E,A).  [resolve(2936,a,2922,a)].
6.66/6.93	Derived: r2_hidden(f12(A,B,C),B) | f15(A,B,C) = f13(A,B,C) | f16(A,B,C) = f14(A,B,C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f17(A,B,C),D),C) | r2_hidden(k4_tarski(E,f11(A,B,E)),f9(A,B)) | -r2_hidden(E,A).  [resolve(2936,a,2923,a)].
6.66/6.93	2937 r2_tarski(A,B) | r2_hidden(f12(A,B,C),B) | f15(A,B,C) = f13(A,B,C) | f16(A,B,C) = f14(A,B,C) | r2_hidden(f17(A,B,C),A) # label(d6_tarski) # label(axiom).  [clausify(11)].
6.66/6.93	Derived: r2_hidden(f12(A,B,C),B) | f15(A,B,C) = f13(A,B,C) | f16(A,B,C) = f14(A,B,C) | r2_hidden(f17(A,B,C),A) | r2_hidden(k4_tarski(f10(A,B,D),D),f9(A,B)) | -r2_hidden(D,B).  [resolve(2937,a,2917,a)].
6.66/6.93	Derived: r2_hidden(f12(A,B,C),B) | f15(A,B,C) = f13(A,B,C) | f16(A,B,C) = f14(A,B,C) | r2_hidden(f17(A,B,C),A) | r2_hidden(f10(A,B,D),A) | -r2_hidden(D,B).  [resolve(2937,a,2919,a)].
6.66/6.93	Derived: r2_hidden(f12(A,B,C),B) | f15(A,B,C) = f13(A,B,C) | f16(A,B,C) = f14(A,B,C) | r2_hidden(f17(A,B,C),A) | -r2_hidden(k4_tarski(D,E),f9(A,B)) | -r2_hidden(k4_tarski(F,V6),f9(A,B)) | D != F | E = V6.  [resolve(2937,a,2920,a)].
6.66/6.93	Derived: r2_hidden(f12(A,B,C),B) | f15(A,B,C) = f13(A,B,C) | f16(A,B,C) = f14(A,B,C) | r2_hidden(f17(A,B,C),A) | -r2_hidden(k4_tarski(D,E),f9(A,B)) | -r2_hidden(k4_tarski(F,V6),f9(A,B)) | D = F | E != V6.  [resolve(2937,a,2921,a)].
6.66/6.93	Derived: r2_hidden(f12(A,B,C),B) | f15(A,B,C) = f13(A,B,C) | f16(A,B,C) = f14(A,B,C) | r2_hidden(f17(A,B,C),A) | r2_hidden(f11(A,B,D),B) | -r2_hidden(D,A).  [resolve(2937,a,2922,a)].
6.78/6.98	Derived: r2_hidden(f12(A,B,C),B) | f15(A,B,C) = f13(A,B,C) | f16(A,B,C) = f14(A,B,C) | r2_hidden(f17(A,B,C),A) | r2_hidden(k4_tarski(D,f11(A,B,D)),f9(A,B)) | -r2_hidden(D,A).  [resolve(2937,a,2923,a)].
6.78/6.98	2938 r2_tarski(A,B) | r2_hidden(f12(A,B,C),B) | f15(A,B,C) != f13(A,B,C) | f16(A,B,C) != f14(A,B,C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f17(A,B,C),D),C) # label(d6_tarski) # label(axiom).  [clausify(11)].
6.78/6.98	Derived: r2_hidden(f12(A,B,C),B) | f15(A,B,C) != f13(A,B,C) | f16(A,B,C) != f14(A,B,C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f17(A,B,C),D),C) | r2_hidden(k4_tarski(f10(A,B,E),E),f9(A,B)) | -r2_hidden(E,B).  [resolve(2938,a,2917,a)].
6.78/6.98	Derived: r2_hidden(f12(A,B,C),B) | f15(A,B,C) != f13(A,B,C) | f16(A,B,C) != f14(A,B,C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f17(A,B,C),D),C) | r2_hidden(f10(A,B,E),A) | -r2_hidden(E,B).  [resolve(2938,a,2919,a)].
6.78/6.98	Derived: r2_hidden(f12(A,B,C),B) | f15(A,B,C) != f13(A,B,C) | f16(A,B,C) != f14(A,B,C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f17(A,B,C),D),C) | -r2_hidden(k4_tarski(E,F),f9(A,B)) | -r2_hidden(k4_tarski(V6,V7),f9(A,B)) | E != V6 | F = V7.  [resolve(2938,a,2920,a)].
6.78/6.98	Derived: r2_hidden(f12(A,B,C),B) | f15(A,B,C) != f13(A,B,C) | f16(A,B,C) != f14(A,B,C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f17(A,B,C),D),C) | -r2_hidden(k4_tarski(E,F),f9(A,B)) | -r2_hidden(k4_tarski(V6,V7),f9(A,B)) | E = V6 | F != V7.  [resolve(2938,a,2921,a)].
6.78/6.98	Derived: r2_hidden(f12(A,B,C),B) | f15(A,B,C) != f13(A,B,C) | f16(A,B,C) != f14(A,B,C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f17(A,B,C),D),C) | r2_hidden(f11(A,B,E),B) | -r2_hidden(E,A).  [resolve(2938,a,2922,a)].
6.78/6.98	Derived: r2_hidden(f12(A,B,C),B) | f15(A,B,C) != f13(A,B,C) | f16(A,B,C) != f14(A,B,C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f17(A,B,C),D),C) | r2_hidden(k4_tarski(E,f11(A,B,E)),f9(A,B)) | -r2_hidden(E,A).  [resolve(2938,a,2923,a)].
6.78/6.98	2939 r2_tarski(A,B) | r2_hidden(f12(A,B,C),B) | f15(A,B,C) != f13(A,B,C) | f16(A,B,C) != f14(A,B,C) | r2_hidden(f17(A,B,C),A) # label(d6_tarski) # label(axiom).  [clausify(11)].
6.78/6.98	Derived: r2_hidden(f12(A,B,C),B) | f15(A,B,C) != f13(A,B,C) | f16(A,B,C) != f14(A,B,C) | r2_hidden(f17(A,B,C),A) | r2_hidden(k4_tarski(f10(A,B,D),D),f9(A,B)) | -r2_hidden(D,B).  [resolve(2939,a,2917,a)].
6.78/6.98	Derived: r2_hidden(f12(A,B,C),B) | f15(A,B,C) != f13(A,B,C) | f16(A,B,C) != f14(A,B,C) | r2_hidden(f17(A,B,C),A) | r2_hidden(f10(A,B,D),A) | -r2_hidden(D,B).  [resolve(2939,a,2919,a)].
6.78/6.98	Derived: r2_hidden(f12(A,B,C),B) | f15(A,B,C) != f13(A,B,C) | f16(A,B,C) != f14(A,B,C) | r2_hidden(f17(A,B,C),A) | -r2_hidden(k4_tarski(D,E),f9(A,B)) | -r2_hidden(k4_tarski(F,V6),f9(A,B)) | D != F | E = V6.  [resolve(2939,a,2920,a)].
6.78/6.98	Derived: r2_hidden(f12(A,B,C),B) | f15(A,B,C) != f13(A,B,C) | f16(A,B,C) != f14(A,B,C) | r2_hidden(f17(A,B,C),A) | -r2_hidden(k4_tarski(D,E),f9(A,B)) | -r2_hidden(k4_tarski(F,V6),f9(A,B)) | D = F | E != V6.  [resolve(2939,a,2921,a)].
6.78/6.98	Derived: r2_hidden(f12(A,B,C),B) | f15(A,B,C) != f13(A,B,C) | f16(A,B,C) != f14(A,B,C) | r2_hidden(f17(A,B,C),A) | r2_hidden(f11(A,B,D),B) | -r2_hidden(D,A).  [resolve(2939,a,2922,a)].
6.78/6.98	Derived: r2_hidden(f12(A,B,C),B) | f15(A,B,C) != f13(A,B,C) | f16(A,B,C) != f14(A,B,C) | r2_hidden(f17(A,B,C),A) | r2_hidden(k4_tarski(D,f11(A,B,D)),f9(A,B)) | -r2_hidden(D,A).  [resolve(2939,a,2923,a)].
6.78/6.98	2940 r2_tarski(A,f61(B)) | r2_hidden(A,f61(B)) | -r1_tarski(A,f61(B)) # label(t136_zfmisc_1) # label(axiom).  [clausify(445)].
6.78/6.98	Derived: r2_hidden(A,f61(B)) | -r1_tarski(A,f61(B)) | r2_hidden(k4_tarski(f10(A,f61(B),C),C),f9(A,f61(B))) | -r2_hidden(C,f61(B)).  [resolve(2940,a,2917,a)].
6.78/6.98	Derived: r2_hidden(A,f61(B)) | -r1_tarski(A,f61(B)) | r2_hidden(f10(A,f61(B),C),A) | -r2_hidden(C,f61(B)).  [resolve(2940,a,2919,a)].
6.78/6.98	Derived: r2_hidden(A,f61(B)) | -r1_tarski(A,f61(B)) | -r2_hidden(k4_tarski(C,D),f9(A,f61(B))) | -r2_hidden(k4_tarski(E,F),f9(A,f61(B))) | C != E | D = F.  [resolve(2940,a,2920,a)].
6.78/6.98	Derived: r2_hidden(A,f61(B)) | -r1_tarski(A,f61(B)) | -r2_hidden(k4_tarski(C,D),f9(A,f61(B))) | -r2_hidden(k4_tarski(E,F),f9(A,f61(B))) | C = E | D != F.  [resolve(2940,a,2921,a)].
67.84/68.17	Derived: r2_hidden(A,f61(B)) | -r1_tarski(A,f61(B)) | r2_hidden(f11(A,f61(B),C),f61(B)) | -r2_hidden(C,A).  [resolve(2940,a,2922,a)].
67.84/68.17	Derived: r2_hidden(A,f61(B)) | -r1_tarski(A,f61(B)) | r2_hidden(k4_tarski(C,f11(A,f61(B),C)),f9(A,f61(B))) | -r2_hidden(C,A).  [resolve(2940,a,2923,a)].
67.84/68.17	2941 r2_hidden(A,c8) | -r2_hidden(A,f1_s1_xboole_0) | -p1_s1_xboole_0(A) # label(s1_xboole_0) # label(axiom).  [clausify(39)].
67.84/68.17	2942 -r2_hidden(A,c8) | p1_s1_xboole_0(A) # label(s1_xboole_0) # label(axiom).  [clausify(39)].
67.84/68.17	2943 -m1_subset_1(A,f1_s3_subset_1) | r2_hidden(A,c12) | -p1_s3_subset_1(A) # label(s3_subset_1) # label(axiom).  [clausify(533)].
67.84/68.17	2944 -m1_subset_1(A,f1_s3_subset_1) | -r2_hidden(A,c12) | p1_s3_subset_1(A) # label(s3_subset_1) # label(axiom).  [clausify(533)].
67.84/68.17	2945 r2_hidden(A,c13) | -p1_s1_subset_1(A) | -r2_hidden(A,f1_s1_subset_1) # label(s1_subset_1) # label(axiom).  [clausify(545)].
67.84/68.17	2946 -r2_hidden(A,c13) | p1_s1_subset_1(A) # label(s1_subset_1) # label(axiom).  [clausify(545)].
67.84/68.17	2947 -v1_relat_1(A) | v2_relat_1(A) | r2_hidden(k1_xboole_0,k2_relat_1(A)) # label(d9_relat_1) # label(axiom).  [clausify(638)].
67.84/68.17	2948 -v1_relat_1(A) | -v2_relat_1(A) | -r2_hidden(k1_xboole_0,k2_relat_1(A)) # label(d9_relat_1) # label(axiom).  [clausify(638)].
67.84/68.17	2949 -v1_funct_1(A) | -v2_relat_1(A) | -v1_relat_1(A) | v1_setfam_1(k2_relat_1(A)) # label(fc6_funct_1) # label(axiom).  [clausify(820)].
67.84/68.17	Derived: -v1_funct_1(A) | -v1_relat_1(A) | v1_setfam_1(k2_relat_1(A)) | -v1_relat_1(A) | r2_hidden(k1_xboole_0,k2_relat_1(A)).  [resolve(2949,b,2947,b)].
67.84/68.17	2950 -v1_relat_1(A) | -v1_funct_1(A) | -v2_relat_1(A) | -v1_xboole_0(k1_funct_1(A,B)) | -r2_hidden(B,k1_relat_1(A)) # label(d15_funct_1) # label(axiom).  [clausify(918)].
67.84/68.17	Derived: -v1_relat_1(A) | -v1_funct_1(A) | -v1_xboole_0(k1_funct_1(A,B)) | -r2_hidden(B,k1_relat_1(A)) | -v1_relat_1(A) | r2_hidden(k1_xboole_0,k2_relat_1(A)).  [resolve(2950,c,2947,b)].
67.84/68.17	2951 -v1_relat_1(A) | -v1_funct_1(A) | v2_relat_1(A) | v1_xboole_0(k1_funct_1(A,f159(A))) # label(d15_funct_1) # label(axiom).  [clausify(918)].
67.84/68.17	Derived: -v1_relat_1(A) | -v1_funct_1(A) | v1_xboole_0(k1_funct_1(A,f159(A))) | -v1_relat_1(A) | -r2_hidden(k1_xboole_0,k2_relat_1(A)).  [resolve(2951,c,2948,b)].
67.84/68.17	Derived: -v1_relat_1(A) | -v1_funct_1(A) | v1_xboole_0(k1_funct_1(A,f159(A))) | -v1_funct_1(A) | -v1_relat_1(A) | v1_setfam_1(k2_relat_1(A)).  [resolve(2951,c,2949,b)].
67.84/68.17	Derived: -v1_relat_1(A) | -v1_funct_1(A) | v1_xboole_0(k1_funct_1(A,f159(A))) | -v1_relat_1(A) | -v1_funct_1(A) | -v1_xboole_0(k1_funct_1(A,B)) | -r2_hidden(B,k1_relat_1(A)).  [resolve(2951,c,2950,c)].
67.84/68.17	2952 -v1_relat_1(A) | -v1_funct_1(A) | v2_relat_1(A) | r2_hidden(f159(A),k1_relat_1(A)) # label(d15_funct_1) # label(axiom).  [clausify(918)].
67.84/68.17	Derived: -v1_relat_1(A) | -v1_funct_1(A) | r2_hidden(f159(A),k1_relat_1(A)) | -v1_relat_1(A) | -r2_hidden(k1_xboole_0,k2_relat_1(A)).  [resolve(2952,c,2948,b)].
67.84/68.17	Derived: -v1_relat_1(A) | -v1_funct_1(A) | r2_hidden(f159(A),k1_relat_1(A)) | -v1_funct_1(A) | -v1_relat_1(A) | v1_setfam_1(k2_relat_1(A)).  [resolve(2952,c,2949,b)].
67.84/68.17	Derived: -v1_relat_1(A) | -v1_funct_1(A) | r2_hidden(f159(A),k1_relat_1(A)) | -v1_relat_1(A) | -v1_funct_1(A) | -v1_xboole_0(k1_funct_1(A,B)) | -r2_hidden(B,k1_relat_1(A)).  [resolve(2952,c,2950,c)].
67.84/68.17	2953 v2_relat_1(c33) # label(rc5_funct_1) # label(axiom).  [clausify(1006)].
67.84/68.17	Derived: -v1_relat_1(c33) | -r2_hidden(k1_xboole_0,k2_relat_1(c33)).  [resolve(2953,a,2948,b)].
67.84/68.17	Derived: -v1_funct_1(c33) | -v1_relat_1(c33) | v1_setfam_1(k2_relat_1(c33)).  [resolve(2953,a,2949,b)].
67.84/68.17	Derived: -v1_relat_1(c33) | -v1_funct_1(c33) | -v1_xboole_0(k1_funct_1(c33,A)) | -r2_hidden(A,k1_relat_1(c33)).  [resolve(2953,a,2950,c)].
67.84/68.17	2954 p1_s1_relat_1(A,B) | -r2_hidden(k4_tarski(A,B),c17) # label(s1_relat_1) # label(axiom).  [clausify(745)].
67.84/68.17	2955 -p1_s1_relat_1(A,B) | -r2_hidden(B,f2_s1_relat_1) | -r2_hidden(A,f1_s1_relat_1) | r2_hidden(k4_tarski(A,B),c17) # label(s1_relat_1) # label(axiom).  [clausify(745)].
67.84/68.17	2956 -v1_relat_1(A) | v7_relat_2(A) | -r7_relat_2(A,k3_relat_1(A)) # label(d15_relat_2) # label(axiom).  [clausify(1067)].
90.52/90.93	2957 -v1_relat_1(A) | -v7_relat_2(A) | v6_relat_2(A) # label(t46_relat_2) # label(axiom).  [clausify(1022)].
90.52/90.93	2958 -v1_relat_1(A) | -v7_relat_2(A) | v1_relat_2(A) # label(t46_relat_2) # label(axiom).  [clausify(1022)].
90.52/90.93	2959 -v1_relat_1(A) | -v7_relat_2(A) | r7_relat_2(A,k3_relat_1(A)) # label(d15_relat_2) # label(axiom).  [clausify(1067)].
90.52/90.93	Derived: -v1_relat_1(A) | -r7_relat_2(A,k3_relat_1(A)) | -v1_relat_1(A) | v6_relat_2(A).  [resolve(2956,b,2957,b)].
90.52/90.93	Derived: -v1_relat_1(A) | -r7_relat_2(A,k3_relat_1(A)) | -v1_relat_1(A) | v1_relat_2(A).  [resolve(2956,b,2958,b)].
90.52/90.93	2960 -v1_relat_1(A) | -v7_relat_2(A) | k2_zfmisc_1(k3_relat_1(A),k3_relat_1(A)) = k2_xboole_0(A,k4_relat_1(A)) # label(t47_relat_2) # label(axiom).  [clausify(1068)].
90.52/90.93	Derived: -v1_relat_1(A) | k2_zfmisc_1(k3_relat_1(A),k3_relat_1(A)) = k2_xboole_0(A,k4_relat_1(A)) | -v1_relat_1(A) | -r7_relat_2(A,k3_relat_1(A)).  [resolve(2960,b,2956,b)].
90.52/90.93	2961 -v1_relat_1(A) | v7_relat_2(A) | k2_zfmisc_1(k3_relat_1(A),k3_relat_1(A)) != k2_xboole_0(A,k4_relat_1(A)) # label(t47_relat_2) # label(axiom).  [clausify(1068)].
90.52/90.93	Derived: -v1_relat_1(A) | k2_zfmisc_1(k3_relat_1(A),k3_relat_1(A)) != k2_xboole_0(A,k4_relat_1(A)) | -v1_relat_1(A) | v6_relat_2(A).  [resolve(2961,b,2957,b)].
90.52/90.93	Derived: -v1_relat_1(A) | k2_zfmisc_1(k3_relat_1(A),k3_relat_1(A)) != k2_xboole_0(A,k4_relat_1(A)) | -v1_relat_1(A) | v1_relat_2(A).  [resolve(2961,b,2958,b)].
90.52/90.93	Derived: -v1_relat_1(A) | k2_zfmisc_1(k3_relat_1(A),k3_relat_1(A)) != k2_xboole_0(A,k4_relat_1(A)) | -v1_relat_1(A) | r7_relat_2(A,k3_relat_1(A)).  [resolve(2961,b,2959,b)].
90.52/90.93	2962 -v1_relat_1(A) | v6_relat_2(A) | -r6_relat_2(A,k3_relat_1(A)) # label(d14_relat_2) # label(axiom).  [clausify(1052)].
90.52/90.93	2963 -v1_relat_1(A) | -v6_relat_2(A) | r6_relat_2(A,k3_relat_1(A)) # label(d14_relat_2) # label(axiom).  [clausify(1052)].
90.52/90.93	2964 -v1_relat_1(A) | -v6_relat_2(A) | r1_tarski(k4_xboole_0(k2_zfmisc_1(k3_relat_1(A),k3_relat_1(A)),k6_relat_1(k3_relat_1(A))),k2_xboole_0(A,k4_relat_1(A))) # label(t45_relat_2) # label(axiom).  [clausify(1060)].
90.52/90.93	Derived: -v1_relat_1(A) | r1_tarski(k4_xboole_0(k2_zfmisc_1(k3_relat_1(A),k3_relat_1(A)),k6_relat_1(k3_relat_1(A))),k2_xboole_0(A,k4_relat_1(A))) | -v1_relat_1(A) | -r6_relat_2(A,k3_relat_1(A)).  [resolve(2964,b,2962,b)].
90.52/90.93	2965 -v1_relat_1(A) | v6_relat_2(A) | -r1_tarski(k4_xboole_0(k2_zfmisc_1(k3_relat_1(A),k3_relat_1(A)),k6_relat_1(k3_relat_1(A))),k2_xboole_0(A,k4_relat_1(A))) # label(t45_relat_2) # label(axiom).  [clausify(1060)].
90.52/90.93	Derived: -v1_relat_1(A) | -r1_tarski(k4_xboole_0(k2_zfmisc_1(k3_relat_1(A),k3_relat_1(A)),k6_relat_1(k3_relat_1(A))),k2_xboole_0(A,k4_relat_1(A))) | -v1_relat_1(A) | r6_relat_2(A,k3_relat_1(A)).  [resolve(2965,b,2963,b)].
90.52/90.93	2966 -v1_relat_1(A) | -r7_relat_2(A,k3_relat_1(A)) | -v1_relat_1(A) | v6_relat_2(A).  [resolve(2956,b,2957,b)].
90.52/90.93	Derived: -v1_relat_1(A) | -r7_relat_2(A,k3_relat_1(A)) | -v1_relat_1(A) | -v1_relat_1(A) | r6_relat_2(A,k3_relat_1(A)).  [resolve(2966,d,2963,b)].
90.52/90.93	Derived: -v1_relat_1(A) | -r7_relat_2(A,k3_relat_1(A)) | -v1_relat_1(A) | -v1_relat_1(A) | r1_tarski(k4_xboole_0(k2_zfmisc_1(k3_relat_1(A),k3_relat_1(A)),k6_relat_1(k3_relat_1(A))),k2_xboole_0(A,k4_relat_1(A))).  [resolve(2966,d,2964,b)].
90.52/90.93	2967 -v1_relat_1(A) | k2_zfmisc_1(k3_relat_1(A),k3_relat_1(A)) != k2_xboole_0(A,k4_relat_1(A)) | -v1_relat_1(A) | v6_relat_2(A).  [resolve(2961,b,2957,b)].
90.52/90.93	Derived: -v1_relat_1(A) | k2_zfmisc_1(k3_relat_1(A),k3_relat_1(A)) != k2_xboole_0(A,k4_relat_1(A)) | -v1_relat_1(A) | -v1_relat_1(A) | r6_relat_2(A,k3_relat_1(A)).  [resolve(2967,d,2963,b)].
90.52/90.93	Derived: -v1_relat_1(A) | k2_zfmisc_1(k3_relat_1(A),k3_relat_1(A)) != k2_xboole_0(A,k4_relat_1(A)) | -v1_relat_1(A) | -v1_relat_1(A) | r1_tarski(k4_xboole_0(k2_zfmisc_1(k3_relat_1(A),k3_relat_1(A)),k6_relat_1(k3_relat_1(A))),k2_xboole_0(A,k4_relat_1(A))).  [resolve(2967,d,2964,b)].
90.52/90.93	2968 v3_ordinal1(A) | -v1_ordinal1(A) | -v2_ordinal1(A) # label(d4_ordinal1) # label(axiom).  [clausify(1100)].
90.52/90.93	2969 -v3_ordinal1(A) | v1_ordinal1(k3_tarski(A)) # label(fc4_ordinal1) # label(axiom).  [clausify(1076)].
90.61/91.01	2970 v1_ordinal1(c34) # label(rc3_ordinal1) # label(axiom).  [clausify(1079)].
90.61/91.01	2971 -v3_ordinal1(A) | v1_ordinal1(k1_ordinal1(A)) # label(fc3_ordinal1) # label(axiom).  [clausify(1093)].
90.61/91.01	2972 -v3_ordinal1(A) | v1_ordinal1(A) # label(d4_ordinal1) # label(axiom).  [clausify(1100)].
90.61/91.01	Derived: v3_ordinal1(k3_tarski(A)) | -v2_ordinal1(k3_tarski(A)) | -v3_ordinal1(A).  [resolve(2968,b,2969,b)].
90.61/91.01	Derived: v3_ordinal1(c34) | -v2_ordinal1(c34).  [resolve(2968,b,2970,a)].
90.61/91.01	2973 v1_ordinal1(c36) # label(rc2_ordinal1) # label(axiom).  [clausify(1104)].
90.61/91.01	2974 -v1_ordinal1(A) | -v3_ordinal1(B) | -v3_ordinal1(C) | -r1_tarski(A,B) | -r2_hidden(B,C) | r2_hidden(A,C) # label(t22_ordinal1) # label(axiom).  [clausify(1107)].
90.61/91.01	Derived: -v3_ordinal1(A) | -v3_ordinal1(B) | -r1_tarski(k3_tarski(C),A) | -r2_hidden(A,B) | r2_hidden(k3_tarski(C),B) | -v3_ordinal1(C).  [resolve(2974,a,2969,b)].
90.61/91.01	Derived: -v3_ordinal1(A) | -v3_ordinal1(B) | -r1_tarski(c34,A) | -r2_hidden(A,B) | r2_hidden(c34,B).  [resolve(2974,a,2970,a)].
90.61/91.01	Derived: -v3_ordinal1(A) | -v3_ordinal1(B) | -r1_tarski(k1_ordinal1(C),A) | -r2_hidden(A,B) | r2_hidden(k1_ordinal1(C),B) | -v3_ordinal1(C).  [resolve(2974,a,2971,b)].
90.61/91.01	Derived: -v3_ordinal1(A) | -v3_ordinal1(B) | -r1_tarski(C,A) | -r2_hidden(A,B) | r2_hidden(C,B) | -v3_ordinal1(C).  [resolve(2974,a,2972,b)].
90.61/91.01	Derived: -v3_ordinal1(A) | -v3_ordinal1(B) | -r1_tarski(c36,A) | -r2_hidden(A,B) | r2_hidden(c36,B).  [resolve(2974,a,2973,a)].
90.61/91.01	2975 -v3_ordinal1(A) | -v3_ordinal1(B) | -v1_ordinal1(C) | -r2_hidden(C,A) | -r2_hidden(A,B) | r2_hidden(C,B) # label(t19_ordinal1) # label(axiom).  [clausify(1112)].
90.61/91.01	Derived: -v3_ordinal1(A) | -v3_ordinal1(B) | -r2_hidden(k3_tarski(C),A) | -r2_hidden(A,B) | r2_hidden(k3_tarski(C),B) | -v3_ordinal1(C).  [resolve(2975,c,2969,b)].
90.61/91.01	Derived: -v3_ordinal1(A) | -v3_ordinal1(B) | -r2_hidden(c34,A) | -r2_hidden(A,B) | r2_hidden(c34,B).  [resolve(2975,c,2970,a)].
90.61/91.01	Derived: -v3_ordinal1(A) | -v3_ordinal1(B) | -r2_hidden(k1_ordinal1(C),A) | -r2_hidden(A,B) | r2_hidden(k1_ordinal1(C),B) | -v3_ordinal1(C).  [resolve(2975,c,2971,b)].
90.61/91.01	Derived: -v3_ordinal1(A) | -v3_ordinal1(B) | -r2_hidden(C,A) | -r2_hidden(A,B) | r2_hidden(C,B) | -v3_ordinal1(C).  [resolve(2975,c,2972,b)].
90.61/91.01	Derived: -v3_ordinal1(A) | -v3_ordinal1(B) | -r2_hidden(c36,A) | -r2_hidden(A,B) | r2_hidden(c36,B).  [resolve(2975,c,2973,a)].
90.61/91.01	2976 -v1_ordinal1(A) | -v2_ordinal1(A) | v3_ordinal1(A) # label(cc2_ordinal1) # label(axiom).  [clausify(1114)].
90.61/91.01	Derived: -v2_ordinal1(c36) | v3_ordinal1(c36).  [resolve(2976,a,2973,a)].
90.61/91.01	2977 -v1_ordinal1(A) | -v3_ordinal1(B) | -r2_xboole_0(A,B) | r2_hidden(A,B) # label(t21_ordinal1) # label(axiom).  [clausify(1116)].
90.61/91.01	Derived: -v3_ordinal1(A) | -r2_xboole_0(k3_tarski(B),A) | r2_hidden(k3_tarski(B),A) | -v3_ordinal1(B).  [resolve(2977,a,2969,b)].
90.61/91.01	Derived: -v3_ordinal1(A) | -r2_xboole_0(c34,A) | r2_hidden(c34,A).  [resolve(2977,a,2970,a)].
90.61/91.01	Derived: -v3_ordinal1(A) | -r2_xboole_0(k1_ordinal1(B),A) | r2_hidden(k1_ordinal1(B),A) | -v3_ordinal1(B).  [resolve(2977,a,2971,b)].
90.61/91.01	Derived: -v3_ordinal1(A) | -r2_xboole_0(B,A) | r2_hidden(B,A) | -v3_ordinal1(B).  [resolve(2977,a,2972,b)].
90.61/91.01	Derived: -v3_ordinal1(A) | -r2_xboole_0(c36,A) | r2_hidden(c36,A).  [resolve(2977,a,2973,a)].
90.61/91.01	2978 -v3_ordinal1(A) | v1_ordinal1(A) # label(cc1_ordinal1) # label(axiom).  [clausify(1120)].
90.61/91.01	2979 v1_ordinal1(c38) # label(rc1_ordinal1) # label(axiom).  [clausify(1128)].
90.61/91.01	Derived: v3_ordinal1(c38) | -v2_ordinal1(c38).  [resolve(2979,a,2968,b)].
90.61/91.01	Derived: -v3_ordinal1(A) | -v3_ordinal1(B) | -r1_tarski(c38,A) | -r2_hidden(A,B) | r2_hidden(c38,B).  [resolve(2979,a,2974,a)].
90.61/91.01	Derived: -v3_ordinal1(A) | -v3_ordinal1(B) | -r2_hidden(c38,A) | -r2_hidden(A,B) | r2_hidden(c38,B).  [resolve(2979,a,2975,c)].
90.61/91.01	Derived: -v3_ordinal1(A) | -r2_xboole_0(c38,A) | r2_hidden(c38,A).  [resolve(2979,a,2977,a)].
90.61/91.01	2980 -v1_xboole_0(A) | v1_ordinal1(A) # label(cc3_ordinal1) # label(axiom).  [clausify(1133)].
90.61/91.01	Derived: -v1_xboole_0(A) | v3_ordinal1(A) | -v2_ordinal1(A).  [resolve(2980,b,2968,b)].
90.61/91.01	Derived: -v1_xboole_0(A) | -v3_ordinal1(B) | -v3_ordinal1(C) | -r1_tarski(A,B) | -r2_hidden(B,C) | r2_hidden(A,C).  [resolve(2980,b,2974,a)].
90.69/91.08	Derived: -v1_xboole_0(A) | -v3_ordinal1(B) | -v3_ordinal1(C) | -r2_hidden(A,B) | -r2_hidden(B,C) | r2_hidden(A,C).  [resolve(2980,b,2975,c)].
90.69/91.08	Derived: -v1_xboole_0(A) | -v3_ordinal1(B) | -r2_xboole_0(A,B) | r2_hidden(A,B).  [resolve(2980,b,2977,a)].
90.69/91.08	2981 v1_ordinal1(k1_xboole_0) # label(fc2_ordinal1_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndLHS) # label(axiom).  [assumption].
90.69/91.08	Derived: v3_ordinal1(k1_xboole_0) | -v2_ordinal1(k1_xboole_0).  [resolve(2981,a,2968,b)].
90.69/91.08	Derived: -v3_ordinal1(A) | -v3_ordinal1(B) | -r1_tarski(k1_xboole_0,A) | -r2_hidden(A,B) | r2_hidden(k1_xboole_0,B).  [resolve(2981,a,2974,a)].
90.69/91.08	Derived: -v3_ordinal1(A) | -v3_ordinal1(B) | -r2_hidden(k1_xboole_0,A) | -r2_hidden(A,B) | r2_hidden(k1_xboole_0,B).  [resolve(2981,a,2975,c)].
90.69/91.08	Derived: -v3_ordinal1(A) | -r2_xboole_0(k1_xboole_0,A) | r2_hidden(k1_xboole_0,A).  [resolve(2981,a,2977,a)].
90.69/91.08	2982 -v1_ordinal1(A) | -r2_hidden(B,A) | r1_tarski(B,A) # label(d2_ordinal1) # label(axiom).  [clausify(1145)].
90.69/91.08	Derived: -r2_hidden(A,k3_tarski(B)) | r1_tarski(A,k3_tarski(B)) | -v3_ordinal1(B).  [resolve(2982,a,2969,b)].
90.69/91.08	Derived: -r2_hidden(A,c34) | r1_tarski(A,c34).  [resolve(2982,a,2970,a)].
90.69/91.08	Derived: -r2_hidden(A,k1_ordinal1(B)) | r1_tarski(A,k1_ordinal1(B)) | -v3_ordinal1(B).  [resolve(2982,a,2971,b)].
90.69/91.08	Derived: -r2_hidden(A,B) | r1_tarski(A,B) | -v3_ordinal1(B).  [resolve(2982,a,2972,b)].
90.69/91.08	Derived: -r2_hidden(A,c36) | r1_tarski(A,c36).  [resolve(2982,a,2973,a)].
90.69/91.08	Derived: -r2_hidden(A,c38) | r1_tarski(A,c38).  [resolve(2982,a,2979,a)].
90.69/91.08	Derived: -r2_hidden(A,B) | r1_tarski(A,B) | -v1_xboole_0(B).  [resolve(2982,a,2980,b)].
90.69/91.08	Derived: -r2_hidden(A,k1_xboole_0) | r1_tarski(A,k1_xboole_0).  [resolve(2982,a,2981,a)].
90.69/91.08	2983 v1_ordinal1(A) | r2_hidden(f205(A),A) # label(d2_ordinal1) # label(axiom).  [clausify(1145)].
90.69/91.08	Derived: r2_hidden(f205(A),A) | v3_ordinal1(A) | -v2_ordinal1(A).  [resolve(2983,a,2968,b)].
90.69/91.08	Derived: r2_hidden(f205(A),A) | -v3_ordinal1(B) | -v3_ordinal1(C) | -r1_tarski(A,B) | -r2_hidden(B,C) | r2_hidden(A,C).  [resolve(2983,a,2974,a)].
90.69/91.08	Derived: r2_hidden(f205(A),A) | -v3_ordinal1(B) | -v3_ordinal1(C) | -r2_hidden(A,B) | -r2_hidden(B,C) | r2_hidden(A,C).  [resolve(2983,a,2975,c)].
90.69/91.08	Derived: r2_hidden(f205(A),A) | -v3_ordinal1(B) | -r2_xboole_0(A,B) | r2_hidden(A,B).  [resolve(2983,a,2977,a)].
90.69/91.08	Derived: r2_hidden(f205(A),A) | -r2_hidden(B,A) | r1_tarski(B,A).  [resolve(2983,a,2982,a)].
90.69/91.08	2984 v1_ordinal1(A) | -r1_tarski(f205(A),A) # label(d2_ordinal1) # label(axiom).  [clausify(1145)].
90.69/91.08	Derived: -r1_tarski(f205(A),A) | v3_ordinal1(A) | -v2_ordinal1(A).  [resolve(2984,a,2968,b)].
90.69/91.08	Derived: -r1_tarski(f205(A),A) | -v3_ordinal1(B) | -v3_ordinal1(C) | -r1_tarski(A,B) | -r2_hidden(B,C) | r2_hidden(A,C).  [resolve(2984,a,2974,a)].
90.69/91.08	Derived: -r1_tarski(f205(A),A) | -v3_ordinal1(B) | -v3_ordinal1(C) | -r2_hidden(A,B) | -r2_hidden(B,C) | r2_hidden(A,C).  [resolve(2984,a,2975,c)].
90.69/91.08	Derived: -r1_tarski(f205(A),A) | -v3_ordinal1(B) | -r2_xboole_0(A,B) | r2_hidden(A,B).  [resolve(2984,a,2977,a)].
90.69/91.08	Derived: -r1_tarski(f205(A),A) | -r2_hidden(B,A) | r1_tarski(B,A).  [resolve(2984,a,2982,a)].
90.69/91.08	2985 -v1_relat_1(A) | -v1_funct_1(A) | -v5_ordinal1(A) | v1_ordinal1(k1_relat_1(A)) # label(fc5_ordinal1) # label(axiom).  [clausify(1146)].
90.69/91.08	Derived: -v1_relat_1(A) | -v1_funct_1(A) | -v5_ordinal1(A) | v3_ordinal1(k1_relat_1(A)) | -v2_ordinal1(k1_relat_1(A)).  [resolve(2985,d,2968,b)].
90.69/91.08	Derived: -v1_relat_1(A) | -v1_funct_1(A) | -v5_ordinal1(A) | -v3_ordinal1(B) | -v3_ordinal1(C) | -r1_tarski(k1_relat_1(A),B) | -r2_hidden(B,C) | r2_hidden(k1_relat_1(A),C).  [resolve(2985,d,2974,a)].
90.69/91.08	Derived: -v1_relat_1(A) | -v1_funct_1(A) | -v5_ordinal1(A) | -v3_ordinal1(B) | -v3_ordinal1(C) | -r2_hidden(k1_relat_1(A),B) | -r2_hidden(B,C) | r2_hidden(k1_relat_1(A),C).  [resolve(2985,d,2975,c)].
90.69/91.08	Derived: -v1_relat_1(A) | -v1_funct_1(A) | -v5_ordinal1(A) | -v3_ordinal1(B) | -r2_xboole_0(k1_relat_1(A),B) | r2_hidden(k1_relat_1(A),B).  [resolve(2985,d,2977,a)].
90.69/91.08	Derived: -v1_relat_1(A) | -v1_funct_1(A) | -v5_ordinal1(A) | -r2_hidden(B,k1_relat_1(A)) | r1_tarski(B,k1_relat_1(A)).  [resolve(2985,d,2982,a)].
101.91/102.35	2986 -v5_ordinal1(A) | -v1_ordinal2(A) | -v3_ordinal1(B) | -v1_funct_1(A) | -v1_relat_1(A) | v1_ordinal1(k1_funct_1(A,B)) # label(fc3_ordinal2) # label(axiom).  [clausify(2040)].
101.91/102.35	Derived: -v5_ordinal1(A) | -v1_ordinal2(A) | -v3_ordinal1(B) | -v1_funct_1(A) | -v1_relat_1(A) | -v3_ordinal1(C) | -v3_ordinal1(D) | -r1_tarski(k1_funct_1(A,B),C) | -r2_hidden(C,D) | r2_hidden(k1_funct_1(A,B),D).  [resolve(2986,f,2974,a)].
101.91/102.35	Derived: -v5_ordinal1(A) | -v1_ordinal2(A) | -v3_ordinal1(B) | -v1_funct_1(A) | -v1_relat_1(A) | -v3_ordinal1(C) | -v3_ordinal1(D) | -r2_hidden(k1_funct_1(A,B),C) | -r2_hidden(C,D) | r2_hidden(k1_funct_1(A,B),D).  [resolve(2986,f,2975,c)].
101.91/102.35	Derived: -v5_ordinal1(A) | -v1_ordinal2(A) | -v3_ordinal1(B) | -v1_funct_1(A) | -v1_relat_1(A) | -v3_ordinal1(C) | -r2_xboole_0(k1_funct_1(A,B),C) | r2_hidden(k1_funct_1(A,B),C).  [resolve(2986,f,2977,a)].
101.91/102.35	Derived: -v5_ordinal1(A) | -v1_ordinal2(A) | -v3_ordinal1(B) | -v1_funct_1(A) | -v1_relat_1(A) | -r2_hidden(C,k1_funct_1(A,B)) | r1_tarski(C,k1_funct_1(A,B)).  [resolve(2986,f,2982,a)].
101.91/102.35	2987 v1_ordinal1(c136) # label(rc1_ordinal2) # label(axiom).  [clausify(2074)].
101.91/102.35	Derived: v3_ordinal1(c136) | -v2_ordinal1(c136).  [resolve(2987,a,2968,b)].
101.91/102.35	Derived: -v3_ordinal1(A) | -v3_ordinal1(B) | -r1_tarski(c136,A) | -r2_hidden(A,B) | r2_hidden(c136,B).  [resolve(2987,a,2974,a)].
101.91/102.35	Derived: -v3_ordinal1(A) | -v3_ordinal1(B) | -r2_hidden(c136,A) | -r2_hidden(A,B) | r2_hidden(c136,B).  [resolve(2987,a,2975,c)].
101.91/102.35	Derived: -v3_ordinal1(A) | -r2_xboole_0(c136,A) | r2_hidden(c136,A).  [resolve(2987,a,2977,a)].
101.91/102.35	Derived: -r2_hidden(A,c136) | r1_tarski(A,c136).  [resolve(2987,a,2982,a)].
101.91/102.35	2988 v1_ordinal1(k5_ordinal2) # label(fc1_ordinal2_AndRHS_AndRHS_AndRHS) # label(axiom).  [assumption].
101.91/102.35	Derived: v3_ordinal1(k5_ordinal2) | -v2_ordinal1(k5_ordinal2).  [resolve(2988,a,2968,b)].
101.91/102.35	Derived: -v3_ordinal1(A) | -v3_ordinal1(B) | -r1_tarski(k5_ordinal2,A) | -r2_hidden(A,B) | r2_hidden(k5_ordinal2,B).  [resolve(2988,a,2974,a)].
101.91/102.35	Derived: -v3_ordinal1(A) | -v3_ordinal1(B) | -r2_hidden(k5_ordinal2,A) | -r2_hidden(A,B) | r2_hidden(k5_ordinal2,B).  [resolve(2988,a,2975,c)].
101.91/102.35	Derived: -v3_ordinal1(A) | -r2_xboole_0(k5_ordinal2,A) | r2_hidden(k5_ordinal2,A).  [resolve(2988,a,2977,a)].
101.91/102.35	Derived: -r2_hidden(A,k5_ordinal2) | r1_tarski(A,k5_ordinal2).  [resolve(2988,a,2982,a)].
101.91/102.35	2989 r2_hidden(f196(A),A) | v6_ordinal1(A) # label(d9_ordinal1) # label(axiom).  [clausify(1109)].
101.91/102.35	2990 r2_hidden(f194(A),A) | -v6_ordinal1(A) | v1_relat_1(k3_tarski(A)) # label(t49_ordinal1) # label(axiom).  [clausify(1103)].
101.91/102.35	2991 r2_hidden(f194(A),A) | -v6_ordinal1(A) | v5_ordinal1(k3_tarski(A)) # label(t49_ordinal1) # label(axiom).  [clausify(1103)].
101.91/102.35	2992 r2_hidden(f194(A),A) | -v6_ordinal1(A) | v1_funct_1(k3_tarski(A)) # label(t49_ordinal1) # label(axiom).  [clausify(1103)].
101.91/102.35	2993 -v5_ordinal1(f194(A)) | -v1_funct_1(f194(A)) | -v1_relat_1(f194(A)) | -v6_ordinal1(A) | v1_relat_1(k3_tarski(A)) # label(t49_ordinal1) # label(axiom).  [clausify(1103)].
101.91/102.35	2994 -v5_ordinal1(f194(A)) | -v1_funct_1(f194(A)) | -v1_relat_1(f194(A)) | -v6_ordinal1(A) | v5_ordinal1(k3_tarski(A)) # label(t49_ordinal1) # label(axiom).  [clausify(1103)].
101.91/102.35	2995 -v5_ordinal1(f194(A)) | -v1_funct_1(f194(A)) | -v1_relat_1(f194(A)) | -v6_ordinal1(A) | v1_funct_1(k3_tarski(A)) # label(t49_ordinal1) # label(axiom).  [clausify(1103)].
101.91/102.35	Derived: r2_hidden(f196(A),A) | r2_hidden(f194(A),A) | v1_relat_1(k3_tarski(A)).  [resolve(2989,b,2990,b)].
101.91/102.35	Derived: r2_hidden(f196(A),A) | r2_hidden(f194(A),A) | v5_ordinal1(k3_tarski(A)).  [resolve(2989,b,2991,b)].
101.91/102.35	Derived: r2_hidden(f196(A),A) | r2_hidden(f194(A),A) | v1_funct_1(k3_tarski(A)).  [resolve(2989,b,2992,b)].
101.91/102.35	Derived: r2_hidden(f196(A),A) | -v5_ordinal1(f194(A)) | -v1_funct_1(f194(A)) | -v1_relat_1(f194(A)) | v1_relat_1(k3_tarski(A)).  [resolve(2989,b,2993,d)].
101.91/102.35	Derived: r2_hidden(f196(A),A) | -v5_ordinal1(f194(A)) | -v1_funct_1(f194(A)) | -v1_relat_1(f194(A)) | v5_ordinal1(k3_tarski(A)).  [resolve(2989,b,2994,d)].
101.91/102.35	Derived: r2_hidden(f196(A),A) | -v5_ordinal1(f194(A)) | -v1_funct_1(f194(A)) | -v1_relat_1(f194(A)) | v1_funct_1(k3_tarski(A)).  [resolve(2989,b,2995,d)].
110.62/111.09	2996 r2_hidden(f197(A),A) | v6_ordinal1(A) # label(d9_ordinal1) # label(axiom).  [clausify(1109)].
110.62/111.09	Derived: r2_hidden(f197(A),A) | r2_hidden(f194(A),A) | v1_relat_1(k3_tarski(A)).  [resolve(2996,b,2990,b)].
110.62/111.09	Derived: r2_hidden(f197(A),A) | r2_hidden(f194(A),A) | v5_ordinal1(k3_tarski(A)).  [resolve(2996,b,2991,b)].
110.62/111.09	Derived: r2_hidden(f197(A),A) | r2_hidden(f194(A),A) | v1_funct_1(k3_tarski(A)).  [resolve(2996,b,2992,b)].
110.62/111.09	Derived: r2_hidden(f197(A),A) | -v5_ordinal1(f194(A)) | -v1_funct_1(f194(A)) | -v1_relat_1(f194(A)) | v1_relat_1(k3_tarski(A)).  [resolve(2996,b,2993,d)].
110.62/111.09	Derived: r2_hidden(f197(A),A) | -v5_ordinal1(f194(A)) | -v1_funct_1(f194(A)) | -v1_relat_1(f194(A)) | v5_ordinal1(k3_tarski(A)).  [resolve(2996,b,2994,d)].
110.62/111.09	Derived: r2_hidden(f197(A),A) | -v5_ordinal1(f194(A)) | -v1_funct_1(f194(A)) | -v1_relat_1(f194(A)) | v1_funct_1(k3_tarski(A)).  [resolve(2996,b,2995,d)].
110.62/111.09	2997 -r3_xboole_0(f196(A),f197(A)) | v6_ordinal1(A) # label(d9_ordinal1) # label(axiom).  [clausify(1109)].
110.62/111.09	Derived: -r3_xboole_0(f196(A),f197(A)) | r2_hidden(f194(A),A) | v1_relat_1(k3_tarski(A)).  [resolve(2997,b,2990,b)].
110.62/111.09	Derived: -r3_xboole_0(f196(A),f197(A)) | r2_hidden(f194(A),A) | v5_ordinal1(k3_tarski(A)).  [resolve(2997,b,2991,b)].
110.62/111.09	Derived: -r3_xboole_0(f196(A),f197(A)) | r2_hidden(f194(A),A) | v1_funct_1(k3_tarski(A)).  [resolve(2997,b,2992,b)].
110.62/111.09	Derived: -r3_xboole_0(f196(A),f197(A)) | -v5_ordinal1(f194(A)) | -v1_funct_1(f194(A)) | -v1_relat_1(f194(A)) | v1_relat_1(k3_tarski(A)).  [resolve(2997,b,2993,d)].
110.62/111.09	Derived: -r3_xboole_0(f196(A),f197(A)) | -v5_ordinal1(f194(A)) | -v1_funct_1(f194(A)) | -v1_relat_1(f194(A)) | v5_ordinal1(k3_tarski(A)).  [resolve(2997,b,2994,d)].
110.62/111.09	Derived: -r3_xboole_0(f196(A),f197(A)) | -v5_ordinal1(f194(A)) | -v1_funct_1(f194(A)) | -v1_relat_1(f194(A)) | v1_funct_1(k3_tarski(A)).  [resolve(2997,b,2995,d)].
110.62/111.09	2998 -r2_hidden(A,B) | -r2_hidden(C,B) | r3_xboole_0(A,C) | -v6_ordinal1(B) # label(d9_ordinal1) # label(axiom).  [clausify(1109)].
110.62/111.09	Derived: -r2_hidden(A,B) | -r2_hidden(C,B) | r3_xboole_0(A,C) | r2_hidden(f196(B),B).  [resolve(2998,d,2989,b)].
110.62/111.09	Derived: -r2_hidden(A,B) | -r2_hidden(C,B) | r3_xboole_0(A,C) | r2_hidden(f197(B),B).  [resolve(2998,d,2996,b)].
110.62/111.09	Derived: -r2_hidden(A,B) | -r2_hidden(C,B) | r3_xboole_0(A,C) | -r3_xboole_0(f196(B),f197(B)).  [resolve(2998,d,2997,b)].
110.62/111.09	2999 k1_xboole_0 = A | v6_ordinal1(f754(A)) | r2_hidden(f756(A),A) # label(t3_lattice4) # label(axiom).  [clausify(2783)].
110.62/111.09	Derived: k1_xboole_0 = A | r2_hidden(f756(A),A) | r2_hidden(f194(f754(A)),f754(A)) | v1_relat_1(k3_tarski(f754(A))).  [resolve(2999,b,2990,b)].
110.62/111.09	Derived: k1_xboole_0 = A | r2_hidden(f756(A),A) | r2_hidden(f194(f754(A)),f754(A)) | v5_ordinal1(k3_tarski(f754(A))).  [resolve(2999,b,2991,b)].
110.62/111.09	Derived: k1_xboole_0 = A | r2_hidden(f756(A),A) | r2_hidden(f194(f754(A)),f754(A)) | v1_funct_1(k3_tarski(f754(A))).  [resolve(2999,b,2992,b)].
110.62/111.09	Derived: k1_xboole_0 = A | r2_hidden(f756(A),A) | -v5_ordinal1(f194(f754(A))) | -v1_funct_1(f194(f754(A))) | -v1_relat_1(f194(f754(A))) | v1_relat_1(k3_tarski(f754(A))).  [resolve(2999,b,2993,d)].
110.62/111.09	Derived: k1_xboole_0 = A | r2_hidden(f756(A),A) | -v5_ordinal1(f194(f754(A))) | -v1_funct_1(f194(f754(A))) | -v1_relat_1(f194(f754(A))) | v5_ordinal1(k3_tarski(f754(A))).  [resolve(2999,b,2994,d)].
110.62/111.09	Derived: k1_xboole_0 = A | r2_hidden(f756(A),A) | -v5_ordinal1(f194(f754(A))) | -v1_funct_1(f194(f754(A))) | -v1_relat_1(f194(f754(A))) | v1_funct_1(k3_tarski(f754(A))).  [resolve(2999,b,2995,d)].
110.62/111.09	Derived: k1_xboole_0 = A | r2_hidden(f756(A),A) | -r2_hidden(B,f754(A)) | -r2_hidden(C,f754(A)) | r3_xboole_0(B,C).  [resolve(2999,b,2998,d)].
110.62/111.09	3000 k1_xboole_0 = A | v6_ordinal1(f754(A)) | B = f756(A) | -r1_tarski(f756(A),B) | -r2_hidden(B,A) # label(t3_lattice4) # label(axiom).  [clausify(2783)].
110.62/111.09	Derived: k1_xboole_0 = A | B = f756(A) | -r1_tarski(f756(A),B) | -r2_hidden(B,A) | r2_hidden(f194(f754(A)),f754(A)) | v1_relat_1(k3_tarski(f754(A))).  [resolve(3000,b,2990,b)].
110.62/111.09	Derived: k1_xboole_0 = A | B = f756(A) | -r1_tarski(f756(A),B) | -r2_hidAlarm clock 
119.58/120.05	Prover9 interrupted
119.58/120.05	EOF