0.12/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.12/0.13	% Command    : tptp2X_and_run_prover9 %d %s
0.14/0.35	% Computer   : n007.cluster.edu
0.14/0.35	% Model      : x86_64 x86_64
0.14/0.35	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.35	% Memory     : 8042.1875MB
0.14/0.35	% OS         : Linux 3.10.0-693.el7.x86_64
0.14/0.35	% CPULimit   : 1200
0.14/0.35	% DateTime   : Tue Jul 13 11:17:35 EDT 2021
0.14/0.35	% CPUTime    : 
15.30/14.88	============================== Prover9 ===============================
15.30/14.88	Prover9 (32) version 2009-11A, November 2009.
15.30/14.88	Process 3993 was started by sandbox on n007.cluster.edu,
15.30/14.88	Tue Jul 13 11:17:48 2021
15.30/14.88	The command was "/export/starexec/sandbox/solver/bin/prover9 -t 1200 -f /tmp/Prover9_3840_n007.cluster.edu".
15.30/14.88	============================== end of head ===========================
15.30/14.88	
15.30/14.88	============================== INPUT =================================
15.30/14.88	
15.30/14.88	% Reading from file /tmp/Prover9_3840_n007.cluster.edu
15.30/14.88	
15.30/14.88	set(prolog_style_variables).
15.30/14.88	set(auto2).
15.30/14.88	    % set(auto2) -> set(auto).
15.30/14.88	    % set(auto) -> set(auto_inference).
15.30/14.88	    % set(auto) -> set(auto_setup).
15.30/14.88	    % set(auto_setup) -> set(predicate_elim).
15.30/14.88	    % set(auto_setup) -> assign(eq_defs, unfold).
15.30/14.88	    % set(auto) -> set(auto_limits).
15.30/14.88	    % set(auto_limits) -> assign(max_weight, "100.000").
15.30/14.88	    % set(auto_limits) -> assign(sos_limit, 20000).
15.30/14.88	    % set(auto) -> set(auto_denials).
15.30/14.88	    % set(auto) -> set(auto_process).
15.30/14.88	    % set(auto2) -> assign(new_constants, 1).
15.30/14.88	    % set(auto2) -> assign(fold_denial_max, 3).
15.30/14.88	    % set(auto2) -> assign(max_weight, "200.000").
15.30/14.88	    % set(auto2) -> assign(max_hours, 1).
15.30/14.88	    % assign(max_hours, 1) -> assign(max_seconds, 3600).
15.30/14.88	    % set(auto2) -> assign(max_seconds, 0).
15.30/14.88	    % set(auto2) -> assign(max_minutes, 5).
15.30/14.88	    % assign(max_minutes, 5) -> assign(max_seconds, 300).
15.30/14.88	    % set(auto2) -> set(sort_initial_sos).
15.30/14.88	    % set(auto2) -> assign(sos_limit, -1).
15.30/14.88	    % set(auto2) -> assign(lrs_ticks, 3000).
15.30/14.88	    % set(auto2) -> assign(max_megs, 400).
15.30/14.88	    % set(auto2) -> assign(stats, some).
15.30/14.88	    % set(auto2) -> clear(echo_input).
15.30/14.88	    % set(auto2) -> set(quiet).
15.30/14.88	    % set(auto2) -> clear(print_initial_clauses).
15.30/14.88	    % set(auto2) -> clear(print_given).
15.30/14.88	assign(lrs_ticks,-1).
15.30/14.88	assign(sos_limit,10000).
15.30/14.88	assign(order,kbo).
15.30/14.88	set(lex_order_vars).
15.30/14.88	clear(print_given).
15.30/14.88	
15.30/14.88	% formulas(sos).  % not echoed (12144 formulas)
15.30/14.88	
15.30/14.88	============================== end of input ==========================
15.30/14.88	
15.30/14.88	% From the command line: assign(max_seconds, 1200).
15.30/14.88	
15.30/14.88	============================== PROCESS NON-CLAUSAL FORMULAS ==========
15.30/14.88	
15.30/14.88	% Formulas that are not ordinary clauses:
15.30/14.88	1 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	2 $T # label(t8_tarski) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	3 $T # label(dt_k1_tarski) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	7 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	12 $T # label(t3_tarski) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	13 $T # label(dt_k4_tarski) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	14 $T # label(dt_k3_tarski) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	15 $T # label(t4_tarski) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	18 $T # label(t6_tarski) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	20 $T # label(dt_k2_tarski) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	21 (all A all B k2_tarski(B,A) = k2_tarski(A,B)) # label(commutativity_k2_tarski) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	22 $T # label(t5_tarski) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	23 $T # label(t1_tarski) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	24 $T # label(dt_k3_xboole_0) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	27 (all A all B r3_xboole_0(A,A)) # label(reflexivity_r3_xboole_0) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	28 (all A ((all B -r2_hidden(B,A)) <-> A = k1_xboole_0)) # label(d1_xboole_0) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	32 (all A all B A = k3_xboole_0(A,A)) # label(idempotence_k3_xboole_0) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	35 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	43 (all A (A = k1_xboole_0 <-> v1_xboole_0(A))) # label(d5_xboole_0) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	44 (all A all B k2_xboole_0(A,A) = A) # label(idempotence_k2_xboole_0) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	47 (all A all B -r2_xboole_0(A,A)) # label(irreflexivity_r2_xboole_0) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	49 $T # label(dt_k4_xboole_0) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	54 $T # label(dt_k5_xboole_0) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	55 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	58 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	59 $T # label(dt_k2_xboole_0) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	61 (all A all B -(v1_xboole_0(B) & A != B & v1_xboole_0(A))) # label(t8_boole) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	62 (all A k1_xboole_0 = k3_xboole_0(A,k1_xboole_0)) # label(t2_boole) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	63 (all A A = k4_xboole_0(A,k1_xboole_0)) # label(t3_boole) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	64 (all A k1_xboole_0 = k4_xboole_0(k1_xboole_0,A)) # label(t4_boole) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	65 (all A A = k2_xboole_0(A,k1_xboole_0)) # label(t1_boole) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	66 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	67 (all A A = k5_xboole_0(A,k1_xboole_0)) # label(t5_boole) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	68 (all A all B -(v1_xboole_0(B) & r2_hidden(A,B))) # label(t7_boole) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	72 (all A k1_xboole_0 = k5_xboole_0(A,A)) # label(t92_xboole_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	79 (all A r1_tarski(k1_xboole_0,A)) # label(t2_xboole_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	95 (all A all B r1_tarski(A,k2_xboole_0(A,B))) # label(t7_xboole_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	120 (all A all B -(r2_xboole_0(B,A) & r1_tarski(A,B))) # label(t60_xboole_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	130 (all A (r1_tarski(A,k1_xboole_0) -> A = k1_xboole_0)) # label(t3_xboole_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	131 (all A all B r1_tarski(k3_xboole_0(A,B),A)) # label(t17_xboole_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	152 (all A all B r1_tarski(k4_xboole_0(A,B),A)) # label(t36_xboole_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	161 (all A r1_xboole_0(A,k1_xboole_0)) # label(t65_xboole_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	162 (all A -r2_xboole_0(A,k1_xboole_0)) # label(t62_xboole_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	171 (all A all B r1_xboole_0(k4_xboole_0(A,B),B)) # label(t79_xboole_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	176 (all A (A != k1_xboole_0 -> r2_xboole_0(k1_xboole_0,A))) # label(t61_xboole_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	186 $T # label(dt_k3_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	187 $T # label(t115_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	189 $T # label(t28_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	191 $T # label(t39_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	194 $T # label(t18_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	196 $T # label(t24_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	201 $T # label(dt_k2_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	203 $T # label(t27_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	204 $T # label(t22_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	206 $T # label(t36_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	209 $T # label(t7_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	210 $T # label(t3_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	211 $T # label(t121_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	213 $T # label(t10_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	218 $T # label(t37_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	221 $T # label(t20_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	222 $T # label(t38_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	223 $T # label(t14_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	224 (all A k1_tarski(A) = k3_enumset1(A,A,A,A,A)) # label(t87_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	225 $T # label(t5_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	227 $T # label(t17_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	228 $T # label(t26_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	230 $T # label(t35_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	234 $T # label(t16_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	236 $T # label(t21_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	238 $T # label(dt_k5_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	241 $T # label(dt_k1_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	242 (all A k1_tarski(A) = k2_enumset1(A,A,A,A)) # label(t82_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	243 $T # label(t101_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	245 $T # label(t33_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	248 $T # label(t6_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	251 $T # label(t29_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	253 $T # label(t11_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	254 (all A k1_tarski(A) = k1_enumset1(A,A,A)) # label(t76_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	255 $T # label(t32_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	258 $T # label(t19_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	259 $T # label(t97_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	260 (all A k2_tarski(A,A) = k1_tarski(A)) # label(t69_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	263 (all A k1_tarski(A) = k5_enumset1(A,A,A,A,A,A,A)) # label(t94_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	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].
15.30/14.88	267 $T # label(t120_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.88	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].
15.30/14.89	269 $T # label(t9_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	270 $T # label(t13_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	276 $T # label(t30_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	277 $T # label(t1_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	279 (all A all B k2_enumset1(A,A,A,B) = k2_tarski(A,B)) # label(t77_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	282 $T # label(t124_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	284 (all A all B k2_tarski(A,B) = k1_enumset1(A,A,B)) # label(t70_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	285 $T # label(dt_k4_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	290 $T # label(t2_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	291 $T # label(t15_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	293 $T # label(dt_k6_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	294 $T # label(t34_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	295 $T # label(t8_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	297 $T # label(t25_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	300 $T # label(t23_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	302 (all A k1_tarski(A) = k4_enumset1(A,A,A,A,A,A)) # label(t91_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	304 $T # label(t4_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	307 $T # label(t12_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	308 $T # label(t122_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	309 $T # label(t31_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	316 $T # label(t40_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	317 $T # label(t114_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	318 $T # label(t106_enumset1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	325 $T # label(t4_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	328 $T # label(t71_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	329 $T # label(t85_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	332 $T # label(t76_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	336 (all A r1_tarski(A,k1_zfmisc_1(k3_tarski(A)))) # label(t100_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	337 (all A all B -v1_xboole_0(k4_tarski(A,B))) # label(fc1_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	338 (all A k3_tarski(k1_zfmisc_1(A)) = A) # label(t99_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	340 $T # label(dt_k4_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	341 $T # label(t61_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	345 (all A all B r1_tarski(k1_tarski(A),k2_tarski(A,B))) # label(t12_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	348 $T # label(t89_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	351 $T # label(t3_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	355 $T # label(t5_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	363 $T # label(t77_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	364 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	368 $T # label(t78_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	372 $T # label(t15_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	373 $T # label(t7_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	381 (all A A = k3_tarski(k1_tarski(A))) # label(t31_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	389 $T # label(t90_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	404 $T # label(t133_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	415 $T # label(t91_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	425 (all A r1_tarski(k1_tarski(A),k1_zfmisc_1(A))) # label(t80_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	431 $T # label(t62_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	436 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	438 $T # label(t11_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	440 $T # label(t88_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	461 $T # label(dt_k3_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	463 $T # label(t87_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	468 $T # label(t1_subset_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	471 $T # label(t13_subset_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	478 $T # label(t3_subset_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	481 $T # label(t6_subset_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	482 $T # label(t14_subset_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	487 $T # label(t9_subset_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	488 $T # label(t27_subset_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	491 $T # label(t11_subset_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	493 (all A m1_subset_1(k1_xboole_0,k1_zfmisc_1(A))) # label(t4_subset_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	502 (all A k1_xboole_0 = k1_subset_1(A)) # label(d3_subset_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	514 $T # label(t2_subset_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	517 $T # label(t37_subset_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	519 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	524 $T # label(d1_subset_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	527 (all A m1_subset_1(k8_subset_1(A),A)) # label(dt_k8_subset_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	529 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	531 $T # label(t19_subset_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	535 $T # label(t20_subset_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.89	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].
15.30/14.90	541 $T # label(t45_subset_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	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].
15.30/14.90	543 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	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].
15.30/14.90	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].
15.30/14.90	546 $T # label(t5_subset_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	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].
15.30/14.90	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].
15.30/14.90	549 (all A k2_subset_1(A) = A) # label(d4_subset_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	550 $T # label(t12_subset_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	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].
15.30/14.90	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].
15.30/14.90	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].
15.30/14.90	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].
15.30/14.90	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].
15.30/14.90	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].
15.30/14.90	557 $T # label(t24_subset_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	558 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(B,k1_zfmisc_1(A)) -> m1_subset_1(k7_subset_1(A,B,C),k1_zfmisc_1(A)))) # label(dt_k7_subset_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	559 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> ((all D (m1_subset_1(D,A) -> (r2_hidden(D,C) <-> r2_hidden(D,B)))) -> B = C))))) # label(t8_subset_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	560 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> k3_subset_1(A,k3_subset_1(A,B)) = B)) # label(involutiveness_k3_subset_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	561 (all A (-$T -> (all B (m1_subset_1(B,A) -> k8_subset_1(A) = B)))) # label(d6_subset_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	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].
15.30/14.90	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].
15.30/14.90	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].
15.30/14.90	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].
15.30/14.90	566 (all A -v1_xboole_0(k1_tarski(A))) # label(fc2_subset_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	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].
15.30/14.90	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].
15.30/14.90	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].
15.30/14.90	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].
15.30/14.90	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].
15.30/14.90	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].
15.30/14.90	573 (all A all B -v1_xboole_0(k2_tarski(A,B))) # label(fc3_subset_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	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].
15.30/14.90	575 $T # label(t23_subset_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	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].
15.30/14.90	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].
15.30/14.90	578 (all A all B ((all C (r2_hidden(C,A) -> r1_tarski(B,C))) -> r1_tarski(B,k1_setfam_1(A)) | A = k1_xboole_0)) # label(t6_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	579 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) -> (r2_hidden(B,A) -> (r2_hidden(B,k8_setfam_1(A,C)) <-> (all D (r2_hidden(D,C) -> r2_hidden(B,D))))))) # label(t58_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	580 $T # label(t15_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	581 (all A (-v1_xboole_0(A) & v1_setfam_1(A) -> (all B (m1_subset_1(B,A) -> -v1_xboole_0(B))))) # label(cc1_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	582 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> m1_subset_1(k8_setfam_1(A,B),k1_zfmisc_1(A)))) # label(dt_k8_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	583 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) -> ((all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (r2_hidden(D,B) <-> r2_hidden(D,C)))) -> B = C))))) # label(t44_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	584 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> m1_subset_1(k5_setfam_1(A,B),k1_zfmisc_1(A)))) # label(dt_k5_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	585 (all A all B r1_setfam_1(A,A)) # label(reflexivity_r1_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	586 (all A all B all C (C = k2_setfam_1(A,B) <-> (all D (r2_hidden(D,C) <-> (exists E exists F (r2_hidden(E,A) & r2_hidden(F,B) & D = k2_xboole_0(E,F))))))) # label(d4_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	587 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) -> (r1_tarski(k7_setfam_1(A,B),C) <-> r1_tarski(B,k7_setfam_1(A,C))))))) # label(t52_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	588 $T # label(t26_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	589 $T # label(t13_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	590 $T # label(t14_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	591 (all A all B all C (r1_tarski(A,C) & r2_hidden(A,B) -> r1_tarski(k1_setfam_1(B),C))) # label(t8_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	592 (all A all B all C (r1_setfam_1(C,k2_tarski(A,B)) -> (all D -(r2_hidden(D,C) & -r1_tarski(D,A) & -r1_tarski(D,B))))) # label(t25_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	593 (all A all B all C ((all D (r2_hidden(D,B) -> r1_xboole_0(D,C))) & r1_tarski(C,k3_tarski(k2_xboole_0(A,B))) -> r1_tarski(C,k3_tarski(A)))) # label(t57_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	594 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> -(k1_xboole_0 != B & k7_setfam_1(A,B) = k1_xboole_0))) # label(t46_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	595 (all A all B all C (k3_setfam_1(A,B) = C <-> (all D (r2_hidden(D,C) <-> (exists E exists F (r2_hidden(F,B) & D = k3_xboole_0(E,F) & r2_hidden(E,A))))))) # label(d5_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	596 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (B = k1_xboole_0 -> A = k8_setfam_1(A,B)) & (k1_xboole_0 != B -> k8_setfam_1(A,B) = k6_setfam_1(A,B)))) # label(d10_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	597 (all A all B r1_tarski(k1_setfam_1(k4_setfam_1(A,B)),k4_xboole_0(k1_setfam_1(A),k1_setfam_1(B)))) # label(t41_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	598 (all A (-r2_hidden(k1_xboole_0,A) <-> v1_setfam_1(A))) # label(d9_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	599 $T # label(t32_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	600 (all A all B -(B != k1_xboole_0 & -r1_tarski(k2_xboole_0(k1_setfam_1(A),k1_setfam_1(B)),k1_setfam_1(k2_setfam_1(A,B))) & k1_xboole_0 != A)) # label(t40_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	601 $T # label(t28_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	602 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (r2_hidden(C,B) <-> r2_hidden(k3_subset_1(A,C),k7_setfam_1(A,B))))))) # label(t49_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	603 $T # label(dt_k3_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	604 (all A all B (r2_hidden(A,B) -> r1_tarski(k1_setfam_1(B),A))) # label(t4_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	605 (exists A -v2_setfam_1(A)) # label(rc2_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	606 (all A all B -(k1_setfam_1(k2_xboole_0(A,B)) != k3_xboole_0(k1_setfam_1(A),k1_setfam_1(B)) & k1_xboole_0 != B & k1_xboole_0 != A)) # label(t10_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	607 (all A all B (r2_setfam_1(B,A) -> k1_xboole_0 = A | r1_tarski(k1_setfam_1(B),k1_setfam_1(A)))) # label(t19_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	608 (all A all B ((A = k1_xboole_0 -> (B = k1_xboole_0 <-> k1_setfam_1(A) = B)) & (A != k1_xboole_0 -> ((all C ((all D (r2_hidden(D,A) -> r2_hidden(C,D))) <-> r2_hidden(C,B))) <-> B = k1_setfam_1(A))))) # label(d1_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	609 (all A all B (B != k1_xboole_0 -> k2_xboole_0(A,k1_setfam_1(B)) = k1_setfam_1(k2_setfam_1(k1_tarski(A),B)))) # label(t35_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	610 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) -> (k7_setfam_1(A,B) = C <-> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (r2_hidden(D,C) <-> r2_hidden(k3_subset_1(A,D),B))))))))) # label(d8_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	611 (all A all B (-v1_xboole_0(A) & -v1_xboole_0(B) -> -v1_xboole_0(k2_tarski(A,B)) & v1_setfam_1(k2_tarski(A,B)))) # label(fc3_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	612 $T # label(t22_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	613 $T # label(t43_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	614 (all A (-v2_setfam_1(A) -> -v1_xboole_0(A))) # label(cc2_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	615 (all A all B (B != k1_xboole_0 -> k1_setfam_1(k4_setfam_1(k1_tarski(A),B)) = k4_xboole_0(A,k3_tarski(B)))) # label(t37_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	616 (all A all B (v1_setfam_1(B) & v1_setfam_1(A) -> v1_setfam_1(k2_xboole_0(A,B)))) # label(fc4_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	617 (all A (-v2_setfam_1(A) -> (exists B (-v1_xboole_0(B) & m1_subset_1(B,A))))) # label(rc3_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	618 (all A all B all C ((all D (r2_hidden(D,C) <-> (exists E exists F (r2_hidden(F,B) & D = k4_xboole_0(E,F) & r2_hidden(E,A))))) <-> C = k4_setfam_1(A,B))) # label(d6_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	619 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) -> k7_setfam_1(A,k4_subset_1(k1_zfmisc_1(A),B,C)) = k4_subset_1(k1_zfmisc_1(A),k7_setfam_1(A,B),k7_setfam_1(A,C)))))) # label(t54_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	620 (all A all B (k1_xboole_0 != B -> k4_xboole_0(A,k1_setfam_1(B)) = k3_tarski(k4_setfam_1(k1_tarski(A),B)))) # label(t38_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	621 (all A all B all C (r2_hidden(C,A) & r1_tarski(k3_tarski(A),B) -> r1_tarski(C,B))) # label(t56_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	622 $T # label(t45_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	623 $T # label(t33_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	624 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> k3_tarski(B) = k5_setfam_1(A,B))) # label(redefinition_k5_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	625 $T # label(t27_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	626 $T # label(dt_k4_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	627 $T # label(t16_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	628 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> m1_subset_1(k6_setfam_1(A,B),k1_zfmisc_1(A)))) # label(dt_k6_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	629 (all A all B r2_setfam_1(B,B)) # label(reflexivity_r2_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	630 (all A r1_setfam_1(k3_setfam_1(A,A),A)) # label(t30_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	631 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) -> (k7_setfam_1(A,C) = k7_setfam_1(A,B) -> B = C))))) # label(t53_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	632 $T # label(dt_k1_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	633 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> m1_subset_1(k7_setfam_1(A,B),k1_zfmisc_1(k1_zfmisc_1(A))))) # label(dt_k7_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	634 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (B != k1_xboole_0 -> k6_subset_1(A,k2_subset_1(A),k5_setfam_1(A,B)) = k6_setfam_1(A,k7_setfam_1(A,B))))) # label(t47_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	635 (all A all B k3_setfam_1(A,B) = k3_setfam_1(B,A)) # label(commutativity_k3_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	636 (all A all B ((all C -(r2_hidden(C,A) & (all D -(r2_hidden(D,B) & r1_tarski(C,D))))) <-> r1_setfam_1(A,B))) # label(d2_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	637 (all A ((all B (-v1_xboole_0(B) -> -r2_hidden(B,A))) <-> v2_setfam_1(A))) # label(d11_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	638 $T # label(t1_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	639 (all A r1_setfam_1(A,k2_setfam_1(A,A))) # label(t29_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	640 (all A all B (v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> v1_xboole_0(k7_setfam_1(A,B)))) # label(fc1_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	641 (all A (r2_hidden(k1_xboole_0,A) -> k1_xboole_0 = k1_setfam_1(A))) # label(t5_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	642 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> B = k7_setfam_1(A,k7_setfam_1(A,B)))) # label(involutiveness_k7_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	643 (all A (r1_setfam_1(A,k1_xboole_0) -> k1_xboole_0 = A)) # label(t21_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	644 (all A all B (r1_tarski(A,B) -> r1_setfam_1(A,B))) # label(t17_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	645 (all A all B k3_tarski(k3_setfam_1(k1_tarski(A),B)) = k3_xboole_0(A,k3_tarski(B))) # label(t36_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	646 $T # label(d7_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	647 (all A r1_setfam_1(k4_setfam_1(A,A),A)) # label(t31_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	648 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (k1_xboole_0 != B -> k5_setfam_1(A,k7_setfam_1(A,B)) = k6_subset_1(A,k2_subset_1(A),k6_setfam_1(A,B))))) # label(t48_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	649 $T # label(t50_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	650 (all A all B k3_xboole_0(k3_tarski(A),k3_tarski(B)) = k3_tarski(k3_setfam_1(A,B))) # label(t39_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	651 (all A all B k1_setfam_1(k2_tarski(A,B)) = k3_xboole_0(A,B)) # label(t12_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	652 (all A all B all C (r1_setfam_1(A,B) & r1_setfam_1(B,C) -> r1_setfam_1(A,C))) # label(t23_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	653 (all A all B ((all C -((all D -(r2_hidden(D,A) & r1_tarski(D,C))) & r2_hidden(C,B))) <-> r2_setfam_1(A,B))) # label(d3_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	654 $T # label(t42_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	655 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) -> (r1_tarski(k7_setfam_1(A,B),k7_setfam_1(A,C)) -> r1_tarski(B,C)))))) # label(t51_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	656 (all A r1_setfam_1(k1_xboole_0,A)) # label(t20_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	657 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) -> (r1_tarski(B,C) -> r1_tarski(k8_setfam_1(A,C),k8_setfam_1(A,B))))))) # label(t59_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	658 (all A all B k2_setfam_1(A,B) = k2_setfam_1(B,A)) # label(commutativity_k2_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	659 (all A all B all C (r1_xboole_0(A,C) & r2_hidden(A,B) -> r1_xboole_0(k1_setfam_1(B),C))) # label(t9_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	660 (all A k1_setfam_1(k1_tarski(A)) = A) # label(t11_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	661 $T # label(dt_k2_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	662 (all A r1_tarski(k1_setfam_1(A),k3_tarski(A))) # label(t3_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	663 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> k6_setfam_1(A,B) = k1_setfam_1(B))) # label(redefinition_k6_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	664 (all A all B (-r1_xboole_0(A,B) -> k1_setfam_1(k3_setfam_1(A,B)) = k3_xboole_0(k1_setfam_1(A),k1_setfam_1(B)))) # label(t34_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	665 (exists A (-v1_xboole_0(A) & v1_setfam_1(A))) # label(rc1_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	666 (all A (-v1_xboole_0(A) -> -v1_xboole_0(k1_tarski(A)) & v1_setfam_1(k1_tarski(A)))) # label(fc2_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	667 (all A all B (r1_tarski(A,B) -> r1_tarski(k1_setfam_1(B),k1_setfam_1(A)) | A = k1_xboole_0)) # label(t7_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	668 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (B = k1_tarski(A) -> k1_tarski(k1_xboole_0) = k7_setfam_1(A,B)))) # label(t55_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	669 (all A all B (r1_setfam_1(B,k1_tarski(A)) -> (all C (r2_hidden(C,B) -> r1_tarski(C,A))))) # label(t24_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	670 (all A all B (r1_setfam_1(A,B) -> r1_tarski(k3_tarski(A),k3_tarski(B)))) # label(t18_setfam_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	671 (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].
15.30/14.90	672 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	673 (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].
15.30/14.90	674 (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].
15.30/14.90	675 (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].
15.30/14.90	676 $T # label(t113_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	677 (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].
15.30/14.90	678 (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].
15.30/14.90	679 (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].
15.30/14.90	680 (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].
15.30/14.90	681 (all A k1_xboole_0 = k8_relat_1(A,k1_xboole_0)) # label(t138_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	682 $T # label(t61_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	683 (all A k4_relat_1(k6_relat_1(A)) = k6_relat_1(A)) # label(t72_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	684 (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].
15.30/14.90	685 (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].
15.30/14.90	686 $T # label(t63_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	687 (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].
15.30/14.90	688 $T # label(t43_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	689 (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].
15.30/14.90	690 (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].
15.30/14.90	691 (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].
15.30/14.90	692 (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].
15.30/14.90	693 (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].
15.30/14.90	694 (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].
15.30/14.90	695 (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].
15.30/14.90	696 (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].
15.30/14.90	697 (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].
15.30/14.90	698 (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].
15.30/14.90	699 (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].
15.30/14.90	700 (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].
15.30/14.90	701 $T # label(t2_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	702 (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].
15.30/14.90	703 (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].
15.30/14.90	704 (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].
15.30/14.90	705 $T # label(t42_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	706 (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].
15.30/14.90	707 (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].
15.30/14.90	708 (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].
15.30/14.90	709 (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].
15.30/14.90	710 (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].
15.30/14.90	711 (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].
15.30/14.90	712 (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].
15.30/14.90	713 (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].
15.30/14.90	714 (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].
15.30/14.90	715 (all A (v1_relat_1(A) -> v1_relat_1(k4_relat_1(A)))) # label(dt_k4_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	716 $T # label(t85_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	717 (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].
15.30/14.90	718 (all A k7_relat_1(k1_xboole_0,A) = k1_xboole_0) # label(t111_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	719 (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].
15.30/14.90	720 $T # label(t70_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	721 (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].
15.30/14.90	722 (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].
15.30/14.90	723 (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].
15.30/14.90	724 (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].
15.30/14.90	725 (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].
15.30/14.90	726 (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].
15.30/14.90	727 (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].
15.30/14.90	728 (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].
15.30/14.90	729 (exists A (v1_relat_1(A) & -v1_xboole_0(A))) # label(rc2_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	730 (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].
15.30/14.90	731 (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].
15.30/14.90	732 (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].
15.30/14.90	733 (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].
15.30/14.90	734 (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].
15.30/14.90	735 (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].
15.30/14.90	736 (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].
15.30/14.90	737 (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].
15.30/14.90	738 (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].
15.30/14.90	739 (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].
15.30/14.90	740 $T # label(t165_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	741 (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].
15.30/14.90	742 (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].
15.30/14.90	743 (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].
15.30/14.90	744 $T # label(t83_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	745 (exists A (v1_relat_1(A) & v3_relat_1(A))) # label(rc3_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	746 (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].
15.30/14.90	747 (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].
15.30/14.90	748 $T # label(t58_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	749 (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].
15.30/14.90	750 (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].
15.30/14.90	751 (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].
15.30/14.90	752 $T # label(t114_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	753 (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].
15.30/14.90	754 (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].
15.30/14.90	755 (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].
15.30/14.90	756 (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].
15.30/14.90	757 (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].
15.30/14.90	758 (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].
15.30/14.90	759 $T # label(t141_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	760 $T # label(t12_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	761 (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].
15.30/14.90	762 (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].
15.30/14.90	763 (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].
15.30/14.90	764 $T # label(dt_k3_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	765 $T # label(t142_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	766 (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].
15.30/14.90	767 $T # label(t84_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	768 (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].
15.30/14.90	769 (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].
15.30/14.90	770 (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].
15.30/14.90	771 (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].
15.30/14.90	772 (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].
15.30/14.90	773 (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].
15.30/14.90	774 (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].
15.30/14.90	775 (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].
15.30/14.90	776 (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].
15.30/14.90	777 (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].
15.30/14.90	778 (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].
15.30/14.90	779 (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].
15.30/14.90	780 (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].
15.30/14.90	781 (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].
15.30/14.90	782 (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].
15.30/14.90	783 (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].
15.30/14.90	784 (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].
15.30/14.90	785 (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].
15.30/14.90	786 $T # label(t8_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	787 (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].
15.30/14.90	788 $T # label(t16_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	789 (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].
15.30/14.90	790 (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].
15.30/14.90	791 (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].
15.30/14.90	792 $T # label(t36_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	793 (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].
15.30/14.90	794 (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].
15.30/14.90	795 (exists A (v1_xboole_0(A) & v1_relat_1(A))) # label(rc1_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	796 (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].
15.30/14.90	797 (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].
15.30/14.90	798 (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].
15.30/14.90	799 (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].
15.30/14.90	800 (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].
15.30/14.90	801 (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].
15.30/14.90	802 (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].
15.30/14.90	803 $T # label(t1_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	804 (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].
15.30/14.90	805 (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].
15.30/14.90	806 (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].
15.30/14.90	807 (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].
15.30/14.90	808 (all A v1_relat_1(k6_relat_1(A))) # label(dt_k6_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.90	809 (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].
15.30/14.90	810 (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].
15.30/14.91	811 (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].
15.30/14.91	812 $T # label(t69_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	813 (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].
15.30/14.91	814 (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].
15.30/14.91	815 (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].
15.30/14.91	816 (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].
15.30/14.91	817 (all A k9_relat_1(k1_xboole_0,A) = k1_xboole_0) # label(t150_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	818 (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].
15.30/14.91	819 $T # label(t59_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	820 (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].
15.30/14.91	821 (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].
15.30/14.91	822 $T # label(t164_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	823 (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].
15.30/14.91	824 (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].
15.30/14.91	825 (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].
15.30/14.91	826 (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].
15.30/14.91	827 (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].
15.30/14.91	828 $T # label(dt_k2_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	829 (all A all B v1_relat_1(k1_tarski(k4_tarski(A,B)))) # label(t4_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	830 (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].
15.30/14.91	831 (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].
15.30/14.91	832 (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].
15.30/14.91	833 (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].
15.30/14.91	834 (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].
15.30/14.91	835 (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].
15.30/14.91	836 (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].
15.30/14.91	837 (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].
15.30/14.91	838 (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].
15.30/14.91	839 (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].
15.30/14.91	840 (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].
15.30/14.91	841 (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].
15.30/14.91	842 (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].
15.30/14.91	843 (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].
15.30/14.91	844 (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].
15.30/14.91	845 $T # label(t17_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	846 (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].
15.30/14.91	847 (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].
15.30/14.91	848 (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].
15.30/14.91	849 (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].
15.30/14.91	850 (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].
15.30/14.91	851 (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].
15.30/14.91	852 (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].
15.30/14.91	853 (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].
15.30/14.91	854 $T # label(t68_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	855 $T # label(t7_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	856 (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].
15.30/14.91	857 (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].
15.30/14.91	858 $T # label(dt_k10_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	859 (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].
15.30/14.91	860 (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].
15.30/14.91	861 (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].
15.30/14.91	862 (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].
15.30/14.91	863 $T # label(t162_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	864 (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].
15.30/14.91	865 (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].
15.30/14.91	866 $T # label(t57_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	867 (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].
15.30/14.91	868 (all A all B v1_relat_1(k2_zfmisc_1(A,B))) # label(t6_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	869 $T # label(t35_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	870 (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].
15.30/14.91	871 (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].
15.30/14.91	872 (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].
15.30/14.91	873 (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].
15.30/14.91	874 (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].
15.30/14.91	875 (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].
15.30/14.91	876 (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].
15.30/14.91	877 (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].
15.30/14.91	878 (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].
15.30/14.91	879 (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].
15.30/14.91	880 (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].
15.30/14.91	881 $T # label(dt_k1_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	882 (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].
15.30/14.91	883 (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].
15.30/14.91	884 (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].
15.30/14.91	885 (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].
15.30/14.91	886 $T # label(dt_k9_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	887 (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].
15.30/14.91	888 (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].
15.30/14.91	889 (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].
15.30/14.91	890 (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].
15.30/14.91	891 $T # label(t11_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	892 (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].
15.30/14.91	893 (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].
15.30/14.91	894 (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].
15.30/14.91	895 (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].
15.30/14.91	896 (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].
15.30/14.91	897 (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].
15.30/14.91	898 (all A k10_relat_1(k1_xboole_0,A) = k1_xboole_0) # label(t172_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	899 (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].
15.30/14.91	900 (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].
15.30/14.91	901 (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].
15.30/14.91	902 (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].
15.30/14.91	903 (all A (v1_xboole_0(A) -> v1_relat_1(A))) # label(cc1_relat_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	904 (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].
15.30/14.91	905 (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].
15.30/14.91	906 $T # label(d11_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	907 (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].
15.30/14.91	908 $T # label(t92_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	909 $T # label(t113_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	910 $T # label(t112_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	911 (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].
15.30/14.91	912 (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].
15.30/14.91	913 (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].
15.30/14.91	914 $T # label(t4_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	915 $T # label(t91_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	916 (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].
15.30/14.91	917 (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].
15.30/14.91	918 (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].
15.30/14.91	919 (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].
15.30/14.91	920 (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].
15.30/14.91	921 (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].
15.30/14.91	922 (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].
15.30/14.91	923 (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].
15.30/14.91	924 $T # label(t100_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	925 (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].
15.30/14.91	926 $T # label(t69_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	927 (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].
15.30/14.91	928 (all A k2_funct_1(k6_relat_1(A)) = k6_relat_1(A)) # label(t67_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	929 $T # label(t140_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	930 (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].
15.30/14.91	931 (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].
15.30/14.91	932 (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].
15.30/14.91	933 (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].
15.30/14.91	934 (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].
15.30/14.91	935 (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].
15.30/14.91	936 $T # label(t98_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	937 $T # label(t26_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	938 $T # label(t96_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	939 (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].
15.30/14.91	940 $T # label(t31_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	941 $T # label(t94_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	942 (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].
15.30/14.91	943 $T # label(t115_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	944 (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].
15.30/14.91	945 $T # label(t135_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	946 (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].
15.30/14.91	947 $T # label(t7_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	948 $T # label(t141_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	949 (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].
15.30/14.91	950 $T # label(t119_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	951 (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].
15.30/14.91	952 $T # label(t93_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	953 (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].
15.30/14.91	954 (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].
15.30/14.91	955 (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].
15.30/14.91	956 (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].
15.30/14.91	957 (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].
15.30/14.91	958 (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].
15.30/14.91	959 (exists A (v1_funct_1(A) & v1_relat_1(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	960 $T # label(t104_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	961 $T # label(t136_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	962 (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].
15.30/14.91	963 (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].
15.30/14.91	964 (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].
15.30/14.91	965 $T # label(t105_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	966 (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].
15.30/14.91	967 (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].
15.30/14.91	968 $T # label(t101_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	969 $T # label(t127_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	970 (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].
15.30/14.91	971 (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].
15.30/14.91	972 (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].
15.30/14.91	973 (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].
15.30/14.91	974 (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].
15.30/14.91	975 (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].
15.30/14.91	976 (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].
15.30/14.91	977 $T # label(t24_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	978 $T # label(t11_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	979 $T # label(t74_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	980 (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].
15.30/14.91	981 (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].
15.30/14.91	982 $T # label(t95_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	983 (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].
15.30/14.91	984 (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].
15.30/14.91	985 (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].
15.30/14.91	986 (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].
15.30/14.91	987 (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].
15.30/14.91	988 (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].
15.30/14.91	989 $T # label(t29_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	990 (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].
15.30/14.91	991 $T # label(t6_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	992 $T # label(t81_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	993 (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].
15.30/14.91	994 (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].
15.30/14.91	995 (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].
15.30/14.91	996 (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].
15.30/14.91	997 (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].
15.30/14.91	998 (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].
15.30/14.91	999 (all A (v1_xboole_0(A) -> v1_funct_1(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	1000 $T # label(t108_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	1001 $T # label(t10_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	1002 (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].
15.30/14.91	1003 (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].
15.30/14.91	1004 $T # label(t5_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	1005 (exists A (v1_relat_1(A) & v1_funct_1(A) & v3_relat_1(A))) # label(rc4_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	1006 (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].
15.30/14.91	1007 $T # label(t79_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	1008 $T # label(t41_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	1009 $T # label(t39_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	1010 (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].
15.30/14.91	1011 (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].
15.30/14.91	1012 (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].
15.30/14.91	1013 (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].
15.30/14.91	1014 (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].
15.30/14.91	1015 (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].
15.30/14.91	1016 $T # label(t45_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	1017 $T # label(t30_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	1018 $T # label(t114_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.91	1019 (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].
15.30/14.91	1020 (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].
15.30/14.92	1021 (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].
15.30/14.92	1022 $T # label(t88_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1023 (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].
15.30/14.92	1024 (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].
15.30/14.92	1025 (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].
15.30/14.92	1026 (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].
15.30/14.92	1027 (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].
15.30/14.92	1028 (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].
15.30/14.92	1029 $T # label(d6_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1030 (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].
15.30/14.92	1031 (all A v2_funct_1(k6_relat_1(A))) # label(t52_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1032 $T # label(t128_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1033 (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].
15.30/14.92	1034 $T # label(t129_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1035 (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].
15.30/14.92	1036 (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].
15.30/14.92	1037 $T # label(t78_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1038 $T # label(t28_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1039 $T # label(t134_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1040 $T # label(t32_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1041 (exists A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1042 (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].
15.30/14.92	1043 $T # label(d10_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1044 (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].
15.30/14.92	1045 (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].
15.30/14.92	1046 (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].
15.30/14.92	1047 $T # label(dt_k1_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1048 (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].
15.30/14.92	1049 (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].
15.30/14.92	1050 $T # label(d3_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1051 (exists A (v1_relat_1(A) & v2_funct_1(A) & v1_funct_1(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1052 $T # label(d2_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1053 $T # label(t75_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1054 (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].
15.30/14.92	1055 (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].
15.30/14.92	1056 $T # label(t106_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1057 $T # label(t77_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1058 $T # label(t3_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1059 $T # label(t102_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1060 (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].
15.30/14.92	1061 (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].
15.30/14.92	1062 (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].
15.30/14.92	1063 $T # label(t132_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1064 (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].
15.30/14.92	1065 (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].
15.30/14.92	1066 $T # label(t109_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1067 $T # label(t83_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1068 (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].
15.30/14.92	1069 (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].
15.30/14.92	1070 (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].
15.30/14.92	1071 (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].
15.30/14.92	1072 $T # label(t133_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1073 $T # label(t80_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1074 (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].
15.30/14.92	1075 (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].
15.30/14.92	1076 (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].
15.30/14.92	1077 (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].
15.30/14.92	1078 (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].
15.30/14.92	1079 (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].
15.30/14.92	1080 $T # label(t107_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1081 (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].
15.30/14.92	1082 $T # label(t103_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1083 $T # label(t111_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1084 $T # label(t90_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1085 $T # label(t1_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1086 (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].
15.30/14.92	1087 $T # label(t116_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1088 (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].
15.30/14.92	1089 (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].
15.30/14.92	1090 (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].
15.30/14.92	1091 (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].
15.30/14.92	1092 $T # label(d7_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1093 $T # label(t131_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1094 (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].
15.30/14.92	1095 (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].
15.30/14.92	1096 $T # label(t13_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1097 $T # label(t110_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1098 $T # label(t36_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1099 (exists A (v1_funct_1(A) & v2_relat_1(A) & v1_relat_1(A))) # label(rc5_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1100 $T # label(t130_funct_1) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1101 (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].
15.30/14.92	1102 $T # label(t4_relat_2) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1103 (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].
15.30/14.92	1104 $T # label(t21_relat_2) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1105 (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].
15.30/14.92	1106 (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].
15.30/14.92	1107 $T # label(t9_relat_2) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1108 (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].
15.30/14.92	1109 (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].
15.30/14.92	1110 (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].
15.30/14.92	1111 (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].
15.30/14.92	1112 (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].
15.30/14.92	1113 (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].
15.30/14.92	1114 (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].
15.30/14.92	1115 (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].
15.30/14.92	1116 (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].
15.30/14.92	1117 (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].
15.30/14.92	1118 (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].
15.30/14.92	1119 (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].
15.30/14.92	1120 (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].
15.30/14.92	1121 (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].
15.30/14.92	1122 $T # label(t16_relat_2) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1123 (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].
15.30/14.92	1124 $T # label(t1_relat_2) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1125 (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].
15.30/14.92	1126 $T # label(t11_relat_2) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1127 $T # label(t15_relat_2) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1128 (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].
15.30/14.92	1129 $T # label(t10_relat_2) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1130 $T # label(t8_relat_2) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1131 (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].
15.30/14.92	1132 $T # label(t5_relat_2) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1133 $T # label(t7_relat_2) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1134 (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].
15.30/14.92	1135 (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].
15.30/14.92	1136 (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].
15.30/14.92	1137 $T # label(t6_relat_2) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1138 $T # label(t14_relat_2) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1139 (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].
15.30/14.92	1140 (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].
15.30/14.92	1141 (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].
15.30/14.92	1142 (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].
15.30/14.92	1143 $T # label(t2_relat_2) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1144 $T # label(t13_relat_2) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1145 (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].
15.30/14.92	1146 (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].
15.30/14.92	1147 (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].
15.30/14.92	1148 (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].
15.30/14.92	1149 $T # label(t3_relat_2) # label(axiom) # label(non_clause).  [assumption].
15.30/14.92	1150 (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].
15.30/14.92	1151 (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].
15.30/14.92	1152 (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].
15.30/14.92	1153 (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].
15.36/14.92	1154 (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].
15.36/14.92	1155 $T # label(t12_relat_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1156 (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].
15.36/14.92	1157 (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].
15.36/14.92	1158 (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].
15.36/14.92	1159 (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].
15.36/14.92	1160 (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].
15.36/14.92	1161 (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].
15.36/14.92	1162 (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].
15.36/14.92	1163 (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].
15.36/14.92	1164 (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].
15.36/14.92	1165 $T # label(t16_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1166 (all A exists B m1_ordinal1(B,A)) # label(existence_m1_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1167 $T # label(t17_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1168 $T # label(dt_k1_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1169 (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].
15.36/14.92	1170 (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].
15.36/14.92	1171 $T # label(t15_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1172 (exists A (v2_ordinal1(A) & v3_ordinal1(A) & v1_ordinal1(A) & -v1_xboole_0(A))) # label(rc3_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1173 (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].
15.36/14.92	1174 $T # label(t40_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1175 (all A all B (k1_ordinal1(A) = k1_ordinal1(B) -> B = A)) # label(t12_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1176 (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].
15.36/14.92	1177 (all A -(all B (v3_ordinal1(B) <-> r2_hidden(B,A)))) # label(t37_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1178 (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].
15.36/14.92	1179 (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].
15.36/14.92	1180 (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].
15.36/14.92	1181 (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].
15.36/14.92	1182 (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].
15.36/14.92	1183 (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].
15.36/14.92	1184 (all A all B (v3_ordinal1(B) -> (r2_hidden(A,B) -> v3_ordinal1(A)))) # label(t23_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1185 (all A -v1_xboole_0(k1_ordinal1(A))) # label(fc1_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1186 (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].
15.36/14.92	1187 (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].
15.36/14.92	1188 (all A (v3_ordinal1(A) -> v3_ordinal1(k3_tarski(A)))) # label(t30_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1189 (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].
15.36/14.92	1190 (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].
15.36/14.92	1191 $T # label(t9_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1192 (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].
15.36/14.92	1193 (all A (v3_ordinal1(A) <-> v1_ordinal1(A) & v2_ordinal1(A))) # label(d4_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1194 $T # label(t28_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1195 $T # label(t1_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1196 (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].
15.36/14.92	1197 (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].
15.36/14.92	1198 (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].
15.36/14.92	1199 (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].
15.36/14.92	1200 (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].
15.36/14.92	1201 (exists A (v5_ordinal1(A) & v1_funct_1(A) & v1_relat_1(A))) # label(rc4_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1202 (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].
15.36/14.92	1203 $T # label(t11_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1204 (all A r2_hidden(A,k1_ordinal1(A))) # label(t10_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1205 (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].
15.36/14.92	1206 (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].
15.36/14.92	1207 (all A (v1_ordinal1(A) & v2_ordinal1(A) -> v3_ordinal1(A))) # label(cc2_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1208 (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].
15.36/14.92	1209 (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].
15.36/14.92	1210 $T # label(t18_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1211 (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].
15.36/14.92	1212 $T # label(t8_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1213 (all A (v3_ordinal1(A) -> v2_ordinal1(A) & v1_ordinal1(A))) # label(cc1_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1214 (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].
15.36/14.92	1215 $T # label(t2_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1216 $T # label(t44_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1217 (all A all B (v3_ordinal1(A) & v3_ordinal1(B) -> r1_ordinal1(A,A))) # label(reflexivity_r1_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1218 (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].
15.36/14.92	1219 $T # label(t43_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1220 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> r3_xboole_0(A,B))))) # label(t25_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1221 (exists A (v2_ordinal1(A) & v3_ordinal1(A) & v1_ordinal1(A))) # label(rc1_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1222 (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].
15.36/14.92	1223 (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].
15.36/14.92	1224 $T # label(d5_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1225 (all A k1_ordinal1(A) != A) # label(t14_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1226 (all A (v1_xboole_0(A) -> v2_ordinal1(A) & v3_ordinal1(A) & v1_ordinal1(A))) # label(cc3_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1227 (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].
15.36/14.92	1228 (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].
15.36/14.92	1229 (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].
15.36/14.92	1230 (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].
15.36/14.92	1231 (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].
15.36/14.92	1232 (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].
15.36/14.92	1233 (all A k2_xboole_0(A,k1_tarski(A)) = k1_ordinal1(A)) # label(d1_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1234 (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].
15.36/14.92	1235 (all A m1_ordinal1(k1_xboole_0,A)) # label(t45_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1236 $T # label(t20_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1237 (all A -(all B (v3_ordinal1(B) -> r2_hidden(B,A)))) # label(t38_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1238 (all A (v1_ordinal1(A) <-> (all B (r2_hidden(B,A) -> r1_tarski(B,A))))) # label(d2_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1239 (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].
15.36/14.92	1240 (all A (v3_ordinal1(A) -> v3_ordinal1(k1_ordinal1(A)))) # label(t29_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1241 (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].
15.36/14.92	1242 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].
15.36/14.92	1243 (all A (A = k3_tarski(A) <-> v4_ordinal1(A))) # label(d6_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1244 (all A all B -(r2_hidden(A,B) & r1_tarski(B,A))) # label(t7_ordinal1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1245 (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].
15.36/14.92	1246 (all A (v1_relat_1(A) -> r4_wellord1(A,A))) # label(t48_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1247 $T # label(t6_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1248 $T # label(t14_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1249 (all A all B all C all D (v1_relat_1(D) -> (all E (v1_relat_1(E) -> (v2_wellord1(E) & r2_hidden(A,k3_relat_1(D)) & r2_hidden(C,k3_relat_1(E)) & r4_wellord1(D,k2_wellord1(E,k1_wellord1(E,B))) & r4_wellord1(k2_wellord1(D,k1_wellord1(D,A)),k2_wellord1(E,k1_wellord1(E,C))) & r2_hidden(B,k3_relat_1(E)) & v2_wellord1(D) -> r1_tarski(k1_wellord1(E,C),k1_wellord1(E,B)) & r2_hidden(k4_tarski(C,B),E)))))) # label(t62_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1250 (all A all B (v1_relat_1(B) -> r1_tarski(k1_wellord1(B,A),k3_relat_1(B)))) # label(t13_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1251 (all A all B all C (v1_relat_1(C) -> k2_wellord1(k2_wellord1(C,B),A) = k2_wellord1(k2_wellord1(C,A),B))) # label(t27_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1252 (all A all B all C (v1_relat_1(C) -> -(r4_wellord1(k2_wellord1(C,k1_wellord1(C,A)),k2_wellord1(C,k1_wellord1(C,B))) & A != B & r2_hidden(B,k3_relat_1(C)) & r2_hidden(A,k3_relat_1(C)) & v2_wellord1(C)))) # label(t58_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1253 (all A all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (v2_wellord1(B) & r1_tarski(A,k3_relat_1(B)) & r3_wellord1(B,C,D) -> r3_wellord1(k2_wellord1(B,A),k2_wellord1(C,k9_relat_1(D,A)),k7_relat_1(D,A)) & r4_wellord1(k2_wellord1(B,A),k2_wellord1(C,k9_relat_1(D,A)))))))))) # label(t59_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1254 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> ((exists C (v1_relat_1(C) & v1_funct_1(C) & r3_wellord1(A,B,C))) <-> r4_wellord1(A,B)))))) # label(d8_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1255 (all A all B (v1_relat_1(B) -> (v1_wellord1(B) -> v1_wellord1(k2_wellord1(B,A))))) # label(t31_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1256 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (r4_wellord1(A,B) -> r4_wellord1(B,A)))))) # label(t50_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1257 $T # label(t3_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1258 (all A all B (v1_relat_1(A) -> v1_relat_1(k2_wellord1(A,B)))) # label(dt_k2_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1259 (all A all B all C (v1_relat_1(C) -> (v2_wellord1(C) -> r3_xboole_0(k1_wellord1(C,A),k1_wellord1(C,B))))) # label(t33_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1260 $T # label(t56_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1261 (all A all B (v1_relat_1(B) -> (v8_relat_2(B) -> v8_relat_2(k2_wellord1(B,A))))) # label(t24_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1262 (all A (v1_relat_1(A) -> (v2_wellord1(A) -> (all B -(r4_wellord1(A,k2_wellord1(A,k1_wellord1(A,B))) & r2_hidden(B,k3_relat_1(A))))))) # label(t57_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1263 $T # label(t34_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1264 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r3_wellord1(A,B,C) -> (all D all E (r2_hidden(k4_tarski(D,E),A) -> E = D | r2_hidden(k4_tarski(k1_funct_1(C,D),k1_funct_1(C,E)),B) & k1_funct_1(C,E) != k1_funct_1(C,D)))))))))) # label(t45_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1265 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r3_wellord1(A,B,C) & v2_wellord1(A) -> v2_wellord1(B)))))))) # label(t54_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1266 (all A all B (v1_relat_1(B) -> (v2_wellord1(B) -> k3_relat_1(k2_wellord1(B,k1_wellord1(B,A))) = k1_wellord1(B,A)))) # label(t40_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1267 (all A all B (v1_relat_1(B) & v1_relat_1(A) -> v1_funct_1(k3_wellord1(A,B)) & v1_relat_1(k3_wellord1(A,B)))) # label(dt_k3_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1268 $T # label(t4_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1269 (all A (v1_relat_1(A) -> (all B (r1_wellord1(A,B) <-> (all C -(r1_tarski(C,B) & (all D -(r2_hidden(D,C) & r1_xboole_0(k1_wellord1(A,D),C))) & C != k1_xboole_0)))))) # label(d3_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1270 (all A all B all C (v1_relat_1(C) -> (v2_wellord1(C) & r2_hidden(B,k3_relat_1(C)) & (all D (r2_hidden(D,k1_wellord1(C,A)) -> r2_hidden(k4_tarski(D,B),C) & D != B)) & r2_hidden(A,k3_relat_1(C)) -> r2_hidden(k4_tarski(A,B),C)))) # label(t42_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.92	1271 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> (r4_wellord1(B,C) & r4_wellord1(A,B) -> r4_wellord1(A,C)))))))) # label(t52_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1272 (all A all B (v1_relat_1(B) -> (v1_relat_2(B) -> v1_relat_2(k2_wellord1(B,A))))) # label(t22_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1273 (all A all B (v1_relat_1(B) -> (r2_wellord1(B,A) -> (all C -(r1_tarski(C,A) & k1_xboole_0 != C & (all D -((all E (r2_hidden(E,C) -> r2_hidden(k4_tarski(D,E),B))) & r2_hidden(D,C)))))))) # label(t9_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1274 $T # label(dt_k1_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1275 (all A (v1_relat_1(A) -> (v2_wellord1(A) <-> v1_relat_2(A) & v6_relat_2(A) & v1_wellord1(A) & v4_relat_2(A) & v8_relat_2(A)))) # label(d4_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1276 (all A all B all C (v1_relat_1(C) -> (r1_tarski(A,B) -> k2_wellord1(C,A) = k2_wellord1(k2_wellord1(C,B),A)))) # label(t29_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1277 (all A (v1_relat_1(A) -> r3_wellord1(A,A,k6_relat_1(k3_relat_1(A))))) # label(t47_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1278 (all A all B (v1_relat_1(B) -> (r1_tarski(A,k3_relat_1(B)) & v2_wellord1(B) -> A = k3_relat_1(k2_wellord1(B,A))))) # label(t39_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1279 (all A all B (v1_relat_1(B) -> r2_hidden(A,k3_relat_1(B)) | k1_wellord1(B,A) = k1_xboole_0)) # label(t2_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1280 $T # label(t44_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1281 (all A (v1_relat_1(A) -> (v2_wellord1(A) -> (all B -(r1_tarski(B,k3_relat_1(A)) & (all C -((all D (r2_hidden(D,B) -> r2_hidden(k4_tarski(C,D),A))) & r2_hidden(C,B))) & k1_xboole_0 != B))))) # label(t10_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1282 (all A all B (v1_relat_1(B) -> (v6_relat_2(B) -> v6_relat_2(k2_wellord1(B,A))))) # label(t23_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1283 $T # label(t1_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1284 (all A all B all C (v1_relat_1(C) -> k2_wellord1(k2_wellord1(C,A),B) = k2_wellord1(C,k3_xboole_0(A,B)))) # label(t26_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1285 (all A all B (v1_relat_1(B) -> k7_relat_1(k8_relat_1(A,B),A) = k2_wellord1(B,A))) # label(t17_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1286 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (k3_relat_1(A) = k1_relat_1(C) & (all D all E (r2_hidden(D,k3_relat_1(A)) & r2_hidden(k4_tarski(k1_funct_1(C,D),k1_funct_1(C,E)),B) & r2_hidden(E,k3_relat_1(A)) <-> r2_hidden(k4_tarski(D,E),A))) & v2_funct_1(C) & k3_relat_1(B) = k2_relat_1(C) <-> r3_wellord1(A,B,C)))))))) # label(d7_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1287 (all A all B (v1_relat_1(B) -> r1_tarski(k3_relat_1(k2_wellord1(B,A)),A) & r1_tarski(k3_relat_1(k2_wellord1(B,A)),k3_relat_1(B)))) # label(t20_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1288 $T # label(t46_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1289 (all A all B (v1_relat_1(B) -> (v2_wellord1(B) & r1_tarski(A,k3_relat_1(B)) -> (-(k3_relat_1(B) != A & (all C -(k1_wellord1(B,C) = A & r2_hidden(C,k3_relat_1(B))))) <-> (all C (r2_hidden(C,A) -> (all D (r2_hidden(k4_tarski(D,C),B) -> r2_hidden(D,A))))))))) # label(t36_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1290 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (v2_wellord1(A) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (r3_wellord1(A,B,D) & r3_wellord1(A,B,C) -> D = C)))))))))) # label(t55_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1291 (all A all B all C (v1_relat_1(C) -> (v2_wellord1(C) & r2_hidden(B,k1_wellord1(C,A)) & r2_hidden(A,k3_relat_1(C)) -> k1_wellord1(C,B) = k1_wellord1(k2_wellord1(C,k1_wellord1(C,A)),B)))) # label(t35_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1292 (all A (v1_relat_1(A) -> (v2_wellord1(A) -> (all B -(r2_hidden(B,k3_relat_1(A)) & (exists C (r2_hidden(C,k3_relat_1(A)) & -r2_hidden(k4_tarski(C,B),A))) & (all C -((all D -(r2_hidden(D,k3_relat_1(A)) & r2_hidden(k4_tarski(B,D),A) & B != D & -r2_hidden(k4_tarski(C,D),A))) & r2_hidden(k4_tarski(B,C),A) & r2_hidden(C,k3_relat_1(A)))))) | k3_relat_1(A) = k1_xboole_0))) # label(t12_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1293 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (v2_wellord1(A) & r3_wellord1(A,B,C) -> (all D -((all E -(r2_hidden(E,k3_relat_1(B)) & k9_relat_1(C,k1_wellord1(A,D)) = k1_wellord1(B,E))) & r2_hidden(D,k3_relat_1(A))))))))))) # label(t60_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1294 (all A all B all C (v1_relat_1(C) -> (r2_hidden(A,k2_wellord1(C,B)) <-> r2_hidden(A,C) & r2_hidden(A,k2_zfmisc_1(B,B))))) # label(t16_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1295 (all A (v1_relat_1(A) -> (all B k2_wellord1(A,B) = k3_xboole_0(A,k2_zfmisc_1(B,B))))) # label(d6_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1296 (all A (v1_relat_1(A) -> k2_wellord1(A,k3_relat_1(A)) = A)) # label(t30_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1297 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (v2_wellord1(A) & r1_tarski(k2_relat_1(B),k3_relat_1(A)) & (all C all D (r2_hidden(k4_tarski(C,D),A) -> D = C | k1_funct_1(B,D) != k1_funct_1(B,C) & r2_hidden(k4_tarski(k1_funct_1(B,C),k1_funct_1(B,D)),A))) & k1_relat_1(B) = k3_relat_1(A) -> (all C (r2_hidden(C,k3_relat_1(A)) -> r2_hidden(k4_tarski(C,k1_funct_1(B,C)),A)))))))) # label(t43_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1298 (all A all B (v1_relat_1(B) -> r1_tarski(k2_wellord1(B,A),B) & r1_tarski(k2_wellord1(B,A),k2_zfmisc_1(A,A)))) # label(t15_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1299 (all A (v1_relat_1(A) -> ((all B -(r1_tarski(B,k3_relat_1(A)) & k1_xboole_0 != B & (all C -(r2_hidden(C,B) & r1_xboole_0(k1_wellord1(A,C),B))))) <-> v1_wellord1(A)))) # label(d2_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1300 (all A all B (v1_relat_1(B) -> -(r1_tarski(A,k3_relat_1(B)) & v2_wellord1(B) & (all C -(r4_wellord1(k2_wellord1(B,k1_wellord1(B,C)),k2_wellord1(B,A)) & r2_hidden(C,k3_relat_1(B)))) & -r4_wellord1(B,k2_wellord1(B,A))))) # label(t64_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1301 (all A all B all C (v1_relat_1(C) -> (v2_wellord1(C) & r2_hidden(B,k3_relat_1(C)) & r2_hidden(A,k3_relat_1(C)) -> (r1_tarski(k1_wellord1(C,A),k1_wellord1(C,B)) <-> A = B | r2_hidden(A,k1_wellord1(C,B)))))) # label(t38_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1302 (all A all B (v1_relat_1(B) -> (v2_wellord1(B) -> v2_wellord1(k2_wellord1(B,A))))) # label(t32_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1303 $T # label(t7_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1304 (all A (v1_relat_1(A) -> (v2_wellord1(A) -> (all B ((all C (r2_hidden(C,k3_relat_1(A)) & r1_tarski(k1_wellord1(A,C),B) -> r2_hidden(C,B))) -> r1_tarski(k3_relat_1(A),B)))))) # label(t41_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1305 (all A all B all C (v1_relat_1(C) -> r1_tarski(k1_wellord1(k2_wellord1(C,A),B),k1_wellord1(C,B)))) # label(t21_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1306 (all A (v1_relat_1(A) -> (r2_wellord1(A,k3_relat_1(A)) <-> v2_wellord1(A)))) # label(t8_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1307 (all A (v1_relat_1(A) -> -((all B -((all C (r2_hidden(C,k3_relat_1(A)) -> r2_hidden(k4_tarski(B,C),A))) & r2_hidden(B,k3_relat_1(A)))) & k1_xboole_0 != k3_relat_1(A) & v2_wellord1(A)))) # label(t11_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1308 (all A (v1_relat_1(A) -> (all B all C (k1_wellord1(A,B) = C <-> (all D (r2_hidden(k4_tarski(D,B),A) & B != D <-> r2_hidden(D,C))))))) # label(d1_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1309 (all A all B all C (v1_relat_1(C) -> (r2_hidden(A,k3_relat_1(k2_wellord1(C,B))) -> r2_hidden(A,B) & r2_hidden(A,k3_relat_1(C))))) # label(t19_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1310 (all A all B (v1_relat_1(B) -> k2_wellord1(B,A) = k2_wellord1(k2_wellord1(B,A),A))) # label(t28_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1311 (all A all B all C (v1_relat_1(C) -> (r2_hidden(B,k3_relat_1(C)) & r2_hidden(A,k3_relat_1(C)) & v2_wellord1(C) -> (r2_hidden(k4_tarski(A,B),C) <-> r1_tarski(k1_wellord1(C,A),k1_wellord1(C,B)))))) # label(t37_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1312 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r3_wellord1(A,B,C) -> (v1_wellord1(A) -> v1_wellord1(B)) & (v4_relat_2(A) -> v4_relat_2(B)) & (v6_relat_2(A) -> v6_relat_2(B)) & (v8_relat_2(A) -> v8_relat_2(B)) & (v1_relat_2(A) -> v1_relat_2(B))))))))) # label(t53_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1313 (all A (v1_relat_1(A) -> (all B (r2_wellord1(A,B) <-> r8_relat_2(A,B) & r6_relat_2(A,B) & r1_wellord1(A,B) & r4_relat_2(A,B) & r1_relat_2(A,B))))) # label(d5_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1314 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r3_wellord1(A,B,C) -> r3_wellord1(B,A,k2_funct_1(C))))))))) # label(t49_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1315 (all A all B (v1_relat_1(B) -> k2_wellord1(B,A) = k8_relat_1(A,k7_relat_1(B,A)))) # label(t18_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1316 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (v2_wellord1(A) & r3_wellord1(A,B,C) -> (all D -((all E -(r4_wellord1(k2_wellord1(A,k1_wellord1(A,D)),k2_wellord1(B,k1_wellord1(B,E))) & r2_hidden(E,k3_relat_1(B)))) & r2_hidden(D,k3_relat_1(A))))))))))) # label(t61_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1317 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (r4_wellord1(A,B) & v2_wellord1(A) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (k3_wellord1(A,B) = C <-> r3_wellord1(A,B,C))))))))) # label(d9_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1318 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> -(v2_wellord1(A) & v2_wellord1(B) & -r4_wellord1(A,B) & (all C -(r2_hidden(C,k3_relat_1(B)) & r4_wellord1(A,k2_wellord1(B,k1_wellord1(B,C))))) & (all C -(r2_hidden(C,k3_relat_1(A)) & r4_wellord1(k2_wellord1(A,k1_wellord1(A,C)),B)))))))) # label(t63_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1319 (all A (v1_relat_1(A) -> (v1_wellord1(A) <-> r1_wellord1(A,k3_relat_1(A))))) # label(t5_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1320 (all A all B (v1_relat_1(B) -> (v4_relat_2(B) -> v4_relat_2(k2_wellord1(B,A))))) # label(t25_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1321 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (all E (v1_funct_1(E) & v1_relat_1(E) -> (r3_wellord1(A,B,D) & r3_wellord1(B,C,E) -> r3_wellord1(A,C,k5_relat_1(D,E))))))))))))) # label(t51_wellord1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1322 (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].
15.36/14.93	1323 (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].
15.36/14.93	1324 $T # label(t41_relset_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1325 (all A all B m2_relset_1(k1_xboole_0,A,B)) # label(t25_relset_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1326 (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].
15.36/14.93	1327 (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].
15.36/14.93	1328 (all A (-v1_xboole_0(A) -> k6_relat_1(A) != k1_xboole_0)) # label(t46_relset_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1329 $T # label(t44_relset_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1330 (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].
15.36/14.93	1331 (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].
15.36/14.93	1332 (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].
15.36/14.93	1333 (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].
15.36/14.93	1334 (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].
15.36/14.93	1335 $T # label(t1_relset_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1336 $T # label(t3_relset_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1337 (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].
15.36/14.93	1338 (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].
15.36/14.93	1339 (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].
15.36/14.93	1340 (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].
15.36/14.93	1341 (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].
15.36/14.93	1342 (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].
15.36/14.93	1343 (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].
15.36/14.93	1344 $T # label(t37_relset_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1345 (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].
15.36/14.93	1346 (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].
15.36/14.93	1347 $T # label(t42_relset_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1348 (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].
15.36/14.93	1349 (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].
15.36/14.93	1350 (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].
15.36/14.93	1351 (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].
15.36/14.93	1352 (all A r1_tarski(k6_relat_1(A),k2_zfmisc_1(A,A))) # label(t28_relset_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1353 (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].
15.36/14.93	1354 $T # label(t2_relset_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1355 (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].
15.36/14.93	1356 (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].
15.36/14.93	1357 $T # label(t40_relset_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1358 (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].
15.36/14.93	1359 (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].
15.36/14.93	1360 (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].
15.36/14.93	1361 (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].
15.36/14.93	1362 (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].
15.36/14.93	1363 (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].
15.36/14.93	1364 (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].
15.36/14.93	1365 (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].
15.36/14.93	1366 (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].
15.36/14.93	1367 (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].
15.36/14.93	1368 (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].
15.36/14.93	1369 (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].
15.36/14.93	1370 (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].
15.36/14.93	1371 (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].
15.36/14.93	1372 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1373 (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].
15.36/14.93	1374 (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].
15.36/14.93	1375 (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].
15.36/14.93	1376 (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].
15.36/14.93	1377 (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].
15.36/14.93	1378 $T # label(t5_relset_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1379 $T # label(t18_relset_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1380 (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].
15.36/14.93	1381 (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].
15.36/14.93	1382 (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].
15.36/14.93	1383 $T # label(t7_relset_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1384 (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].
15.36/14.93	1385 (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].
15.36/14.93	1386 (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].
15.36/14.93	1387 (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].
15.36/14.93	1388 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1389 (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].
15.36/14.93	1390 (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].
15.36/14.93	1391 (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].
15.36/14.93	1392 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1393 (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].
15.36/14.93	1394 (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].
15.36/14.93	1395 $T # label(t20_relset_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1396 (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].
15.36/14.93	1397 (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].
15.36/14.93	1398 (all A m2_relset_1(k6_relat_1(A),A,A)) # label(t29_relset_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1399 (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].
15.36/14.93	1400 (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].
15.36/14.93	1401 (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].
15.36/14.93	1402 (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].
15.36/14.93	1403 (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].
15.36/14.93	1404 (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].
15.36/14.93	1405 (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].
15.36/14.93	1406 (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].
15.36/14.93	1407 (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].
15.36/14.93	1408 $T # label(t43_relset_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1409 $T # label(t21_relset_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1410 (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].
15.36/14.93	1411 $T # label(t164_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1412 (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].
15.36/14.93	1413 $T # label(t104_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1414 $T # label(t124_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1415 $T # label(d1_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1416 $T # label(t108_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1417 $T # label(t173_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1418 $T # label(t102_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1419 (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].
15.36/14.93	1420 $T # label(t170_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1421 (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].
15.36/14.93	1422 (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].
15.36/14.93	1423 (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].
15.36/14.93	1424 $T # label(t52_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1425 (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].
15.36/14.93	1426 $T # label(t21_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1427 (all A all B k3_partfun1(k1_xboole_0,A,B) = k1_xboole_0) # label(t91_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1428 (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].
15.36/14.93	1429 (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].
15.36/14.93	1430 $T # label(t157_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1431 (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].
15.36/14.93	1432 (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].
15.36/14.93	1433 (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].
15.36/14.93	1434 (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].
15.36/14.93	1435 (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].
15.36/14.93	1436 (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].
15.36/14.93	1437 (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].
15.36/14.93	1438 (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].
15.36/14.93	1439 (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].
15.36/14.93	1440 (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].
15.36/14.93	1441 (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].
15.36/14.93	1442 (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].
15.36/14.93	1443 (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].
15.36/14.93	1444 $T # label(t12_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1445 $T # label(t160_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1446 (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].
15.36/14.93	1447 (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].
15.36/14.93	1448 (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].
15.36/14.93	1449 $T # label(t106_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1450 (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].
15.36/14.93	1451 $T # label(d2_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1452 (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].
15.36/14.93	1453 (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].
15.36/14.93	1454 (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].
15.36/14.93	1455 (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].
15.36/14.93	1456 (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].
15.36/14.93	1457 (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].
15.36/14.93	1458 $T # label(t182_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1459 (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].
15.36/14.93	1460 $T # label(t118_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1461 $T # label(t101_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1462 (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].
15.36/14.93	1463 $T # label(t88_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1464 $T # label(t177_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1465 $T # label(t17_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1466 (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].
15.36/14.93	1467 $T # label(t161_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1468 (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].
15.36/14.93	1469 (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].
15.36/14.93	1470 (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].
15.36/14.93	1471 (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].
15.36/14.93	1472 (all A k4_partfun1(k1_xboole_0,A) = k1_tarski(k1_xboole_0)) # label(t122_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1473 $T # label(t184_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1474 $T # label(t103_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1475 (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].
15.36/14.93	1476 (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].
15.36/14.93	1477 (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].
15.36/14.93	1478 $T # label(t9_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1479 $T # label(t107_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1480 (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].
15.36/14.93	1481 $T # label(t165_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1482 (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].
15.36/14.93	1483 $T # label(t23_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1484 (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].
15.36/14.93	1485 $T # label(t154_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1486 (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].
15.36/14.93	1487 $T # label(t156_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1488 (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].
15.36/14.93	1489 (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].
15.36/14.93	1490 (all A k6_partfun1(A) = k6_relat_1(A)) # label(redefinition_k6_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1491 (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].
15.36/14.93	1492 $T # label(t150_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1493 (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].
15.36/14.93	1494 $T # label(t109_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1495 (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].
15.36/14.93	1496 (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].
15.36/14.93	1497 $T # label(t166_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1498 $T # label(t20_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1499 (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].
15.36/14.93	1500 (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].
15.36/14.93	1501 (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].
15.36/14.93	1502 (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].
15.36/14.93	1503 (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].
15.36/14.93	1504 $T # label(t183_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1505 (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].
15.36/14.93	1506 (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].
15.36/14.93	1507 (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].
15.36/14.93	1508 (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].
15.36/14.93	1509 $T # label(t89_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1510 (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].
15.36/14.93	1511 (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].
15.36/14.93	1512 $T # label(t6_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.93	1513 (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].
15.36/14.93	1514 (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].
15.36/14.94	1515 $T # label(t149_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1516 $T # label(t13_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1517 (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].
15.36/14.94	1518 $T # label(t134_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1519 $T # label(t98_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1520 (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].
15.36/14.94	1521 (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].
15.36/14.94	1522 $T # label(t41_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1523 (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].
15.36/14.94	1524 $T # label(t14_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1525 (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].
15.36/14.94	1526 $T # label(t159_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1527 $T # label(t15_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1528 (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].
15.36/14.94	1529 (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].
15.36/14.94	1530 (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].
15.36/14.94	1531 (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].
15.36/14.94	1532 (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].
15.36/14.94	1533 (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].
15.36/14.94	1534 (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].
15.36/14.94	1535 (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].
15.36/14.94	1536 (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].
15.36/14.94	1537 (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].
15.36/14.94	1538 (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].
15.36/14.94	1539 (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].
15.36/14.94	1540 $T # label(t179_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1541 (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].
15.36/14.94	1542 $T # label(t133_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1543 $T # label(t90_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1544 (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].
15.36/14.94	1545 (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].
15.36/14.94	1546 $T # label(t153_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1547 $T # label(t40_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1548 (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].
15.36/14.94	1549 (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].
15.36/14.94	1550 (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].
15.36/14.94	1551 (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].
15.36/14.94	1552 (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].
15.36/14.94	1553 (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].
15.36/14.94	1554 $T # label(t137_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1555 $T # label(t19_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1556 $T # label(t4_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1557 (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].
15.36/14.94	1558 (all A k1_tarski(k1_xboole_0) = k4_partfun1(A,k1_xboole_0)) # label(t123_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1559 (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].
15.36/14.94	1560 (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].
15.36/14.94	1561 (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].
15.36/14.94	1562 $T # label(t129_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1563 $T # label(t163_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1564 (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].
15.36/14.94	1565 (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].
15.36/14.94	1566 $T # label(dt_k5_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1567 (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].
15.36/14.94	1568 $T # label(t75_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1569 (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].
15.36/14.94	1570 (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].
15.36/14.94	1571 $T # label(t110_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1572 (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].
15.36/14.94	1573 (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].
15.36/14.94	1574 $T # label(t105_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1575 (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].
15.36/14.94	1576 (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].
15.36/14.94	1577 (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].
15.36/14.94	1578 $T # label(t11_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1579 (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].
15.36/14.94	1580 $T # label(t5_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1581 (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].
15.36/14.94	1582 (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].
15.36/14.94	1583 (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].
15.36/14.94	1584 (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].
15.36/14.94	1585 (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].
15.36/14.94	1586 $T # label(t50_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1587 (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].
15.36/14.94	1588 $T # label(t48_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1589 (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].
15.36/14.94	1590 $T # label(t180_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1591 (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].
15.36/14.94	1592 (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].
15.36/14.94	1593 $T # label(dt_k4_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1594 (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].
15.36/14.94	1595 $T # label(t100_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1596 $T # label(t16_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1597 (all A all B -v1_xboole_0(k4_partfun1(A,B))) # label(fc1_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1598 (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].
15.36/14.94	1599 (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].
15.36/14.94	1600 $T # label(t42_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1601 $T # label(t152_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1602 (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].
15.36/14.94	1603 $T # label(t167_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1604 (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].
15.36/14.94	1605 (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].
15.36/14.94	1606 (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].
15.36/14.94	1607 $T # label(t8_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1608 (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].
15.36/14.94	1609 (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].
15.36/14.94	1610 $T # label(t111_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1611 (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].
15.36/14.94	1612 $T # label(t151_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1613 $T # label(t18_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1614 $T # label(t155_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1615 (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].
15.36/14.94	1616 (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].
15.36/14.94	1617 (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].
15.36/14.94	1618 $T # label(t22_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1619 (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].
15.36/14.94	1620 $T # label(t7_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1621 $T # label(t181_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1622 $T # label(t178_partfun1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1623 (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].
15.36/14.94	1624 (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].
15.36/14.94	1625 (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].
15.36/14.94	1626 (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].
15.36/14.94	1627 (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].
15.36/14.94	1628 (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].
15.36/14.94	1629 (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].
15.36/14.94	1630 (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].
15.36/14.94	1631 (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].
15.36/14.94	1632 (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].
15.36/14.94	1633 (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].
15.36/14.94	1634 (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].
15.36/14.94	1635 (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].
15.36/14.94	1636 (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].
15.36/14.94	1637 $T # label(dt_k3_mcart_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1638 $T # label(dt_k2_mcart_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1639 (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].
15.36/14.94	1640 $T # label(dt_k19_mcart_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1641 (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].
15.36/14.94	1642 (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].
15.36/14.94	1643 (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].
15.36/14.94	1644 (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].
15.36/14.94	1645 (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].
15.36/14.94	1646 (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].
15.36/14.94	1647 (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].
15.36/14.94	1648 (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].
15.36/14.94	1649 $T # label(dt_k4_mcart_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1650 (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].
15.36/14.94	1651 (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].
15.36/14.94	1652 (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].
15.36/14.94	1653 (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].
15.36/14.94	1654 (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].
15.36/14.94	1655 (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].
15.36/14.94	1656 (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].
15.36/14.94	1657 (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].
15.36/14.94	1658 (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].
15.36/14.94	1659 (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].
15.36/14.94	1660 (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].
15.36/14.94	1661 (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].
15.36/14.94	1662 (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].
15.36/14.94	1663 (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].
15.36/14.94	1664 (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].
15.36/14.94	1665 (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].
15.36/14.94	1666 (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].
15.36/14.94	1667 (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].
15.36/14.94	1668 (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].
15.36/14.94	1669 (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].
15.36/14.94	1670 (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].
15.36/14.94	1671 (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].
15.36/14.94	1672 (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].
15.36/14.94	1673 (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].
15.36/14.94	1674 (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].
15.36/14.94	1675 (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].
15.36/14.94	1676 (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].
15.36/14.94	1677 $T # label(dt_k1_mcart_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1678 (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].
15.36/14.94	1679 (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].
15.36/14.94	1680 (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].
15.36/14.94	1681 (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].
15.36/14.94	1682 (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].
15.36/14.94	1683 $T # label(t21_mcart_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1684 (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].
15.36/14.94	1685 (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].
15.36/14.94	1686 (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].
15.36/14.94	1687 (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].
15.36/14.94	1688 (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].
15.36/14.94	1689 (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].
15.36/14.94	1690 (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].
15.36/14.94	1691 (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].
15.36/14.94	1692 (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].
15.36/14.94	1693 (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].
15.36/14.94	1694 (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].
15.36/14.94	1695 $T # label(dt_k17_mcart_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.94	1696 (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].
15.36/14.94	1697 (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].
15.36/14.94	1698 (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].
15.36/14.95	1699 (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].
15.36/14.95	1700 (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].
15.36/14.95	1701 (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].
15.36/14.95	1702 (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].
15.36/14.95	1703 (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].
15.36/14.95	1704 (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].
15.36/14.95	1705 (all A k20_mcart_1(A) = k2_mcart_1(k2_mcart_1(A))) # label(d17_mcart_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1706 (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].
15.36/14.95	1707 $T # label(t30_mcart_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1708 $T # label(dt_k20_mcart_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1709 $T # label(dt_k18_mcart_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1710 (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].
15.36/14.95	1711 (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].
15.36/14.95	1712 (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].
15.36/14.95	1713 $T # label(t22_mcart_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1714 (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].
15.36/14.95	1715 (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].
15.36/14.95	1716 (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].
15.36/14.95	1717 (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].
15.36/14.95	1718 (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].
15.36/14.95	1719 (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].
15.36/14.95	1720 (all A k1_mcart_1(k2_mcart_1(A)) = k19_mcart_1(A)) # label(d16_mcart_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1721 (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].
15.36/14.95	1722 (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].
15.36/14.95	1723 (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].
15.36/14.95	1724 (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].
15.36/14.95	1725 (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].
15.36/14.95	1726 (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].
15.36/14.95	1727 (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].
15.36/14.95	1728 (all A k18_mcart_1(A) = k2_mcart_1(k1_mcart_1(A))) # label(d15_mcart_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1729 (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].
15.36/14.95	1730 (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].
15.36/14.95	1731 (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].
15.36/14.95	1732 (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].
15.36/14.95	1733 (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].
15.36/14.95	1734 (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].
15.36/14.95	1735 (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].
15.36/14.95	1736 (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].
15.36/14.95	1737 (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].
15.36/14.95	1738 (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].
15.36/14.95	1739 (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].
15.36/14.95	1740 (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].
15.36/14.95	1741 (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].
15.36/14.95	1742 (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].
15.36/14.95	1743 (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].
15.36/14.95	1744 (all A k1_mcart_1(k1_mcart_1(A)) = k17_mcart_1(A)) # label(d14_mcart_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1745 (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].
15.36/14.95	1746 (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].
15.36/14.95	1747 $T # label(t27_mcart_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1748 (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].
15.36/14.95	1749 (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].
15.36/14.95	1750 (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].
15.36/14.95	1751 (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].
15.36/14.95	1752 (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].
15.36/14.95	1753 (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].
15.36/14.95	1754 $T # label(t19_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1755 (all A v4_relat_2(k1_wellord2(A))) # label(t5_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1756 (all A (v1_relat_1(A) -> -(v2_wellord1(A) & (all B (v3_ordinal1(B) -> -r4_wellord1(A,k1_wellord2(B)))) & (all B -(r2_hidden(B,k3_relat_1(A)) & (all C (v3_ordinal1(C) -> -r4_wellord1(k2_wellord1(A,k1_wellord1(A,B)),k1_wellord2(C))))))))) # label(t13_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1757 $T # label(t1_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1758 $T # label(t21_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1759 $T # label(t15_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1760 (all A (v3_ordinal1(A) -> (all B (r1_tarski(B,A) -> v2_wellord1(k1_wellord2(B)))))) # label(t9_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1761 $T # label(t24_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1762 (all A (-v1_xboole_0(A) -> -((all B (v1_relat_1(B) & v1_funct_1(B) -> -((all C (r2_hidden(C,A) -> r2_hidden(k1_funct_1(B,C),C))) & k1_relat_1(B) = A))) & (all B -(k1_xboole_0 = B & r2_hidden(B,A)))))) # label(t28_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1763 (all A all B (v1_relat_1(B) -> (B = k1_wellord2(A) <-> A = k3_relat_1(B) & (all C all D (r2_hidden(D,A) & r2_hidden(C,A) -> (r1_tarski(C,D) <-> r2_hidden(k4_tarski(C,D),B))))))) # label(d1_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1764 (all A all B r2_wellord2(A,A)) # label(reflexivity_r2_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1765 (all A -((all B -(p1_s1_wellord2(A,B) & r2_hidden(B,f2_s1_wellord2))) & r2_hidden(A,f1_s1_wellord2))) -> (exists A (v1_funct_1(A) & k1_relat_1(A) = f1_s1_wellord2 & (all B (r2_hidden(B,f1_s1_wellord2) -> p1_s1_wellord2(B,k1_funct_1(A,B)))) & r1_tarski(k2_relat_1(A),f2_s1_wellord2) & v1_relat_1(A))) # label(s1_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1766 (all A all B (r2_wellord2(A,B) -> r2_wellord2(B,A))) # label(symmetry_r2_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1767 (all A all B ((exists C (v1_funct_1(C) & k1_relat_1(C) = A & B = k2_relat_1(C) & v2_funct_1(C) & v1_relat_1(C))) <-> r2_wellord2(A,B))) # label(d4_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1768 (all A (v1_relat_1(A) -> (all B (v3_ordinal1(B) -> (all C (v3_ordinal1(C) -> (r4_wellord1(A,k1_wellord2(C)) & r4_wellord1(A,k1_wellord2(B)) -> C = B))))))) # label(t12_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1769 (all A (v3_ordinal1(A) -> (all B (v1_relat_1(B) -> (r1_wellord2(A,B) <-> A = k2_wellord2(B)))))) # label(d3_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1770 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r4_wellord1(k1_wellord2(A),k1_wellord2(B)) -> A = B))))) # label(t11_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1771 (all A v1_relat_2(k1_wellord2(A))) # label(t2_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1772 (all A all B all C (r2_wellord2(B,C) & r2_wellord2(A,B) -> r2_wellord2(A,C))) # label(t22_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1773 (all A (v1_relat_1(A) -> -((all B (v3_ordinal1(B) -> -r4_wellord1(A,k1_wellord2(B)))) & v2_wellord1(A)))) # label(t14_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1774 (all A (v3_ordinal1(A) -> v1_wellord1(k1_wellord2(A)))) # label(t6_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1775 (all A -((all B all C -(r2_hidden(B,f2_s2_wellord2) & r2_hidden(C,f3_s2_wellord2) & p1_s2_wellord2(A,B,C))) & r2_hidden(A,f1_s2_wellord2))) -> (exists A (v1_relat_1(A) & v1_funct_1(A) & (exists B (k1_relat_1(B) = f1_s2_wellord2 & (all C (r2_hidden(C,f1_s2_wellord2) -> p1_s2_wellord2(C,k1_funct_1(A,C),k1_funct_1(B,C)))) & k1_relat_1(A) = f1_s2_wellord2 & v1_funct_1(B) & v1_relat_1(B))))) # label(s2_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1776 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r2_hidden(A,B) -> k1_wellord1(k1_wellord2(B),A) = A))))) # label(t10_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1777 (all A all B (r2_wellord2(A,B) <-> r2_tarski(A,B))) # label(redefinition_r2_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1778 (all A v8_relat_2(k1_wellord2(A))) # label(t3_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1779 (all A all B (v3_ordinal1(B) -> (r1_tarski(A,B) -> r1_ordinal1(k2_wellord2(k1_wellord2(A)),B)))) # label(t17_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1780 (all A (v1_relat_1(A) -> v3_ordinal1(k2_wellord2(A)))) # label(dt_k2_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1781 (all A exists B (r2_wellord1(B,A) & v1_relat_1(B))) # label(t26_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1782 (all A all B (v1_relat_1(B) -> (r2_wellord1(B,A) -> v2_wellord1(k2_wellord1(B,A)) & A = k3_relat_1(k2_wellord1(B,A))))) # label(t25_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1783 $T # label(t20_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1784 $T # label(t16_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1785 $T # label(t18_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1786 (all A (-v1_xboole_0(A) -> -((all B all C (r2_hidden(B,A) & r2_hidden(C,A) -> r1_xboole_0(B,C) | C = B)) & (all B exists C (r2_hidden(C,A) & (all D k1_tarski(D) != k3_xboole_0(B,C)))) & (all B -(r2_hidden(B,A) & B = k1_xboole_0))))) # label(t27_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1787 (all A (v1_relat_1(A) -> (v2_wellord1(A) -> (all B (v3_ordinal1(B) -> (B = k2_wellord2(A) <-> r4_wellord1(A,k1_wellord2(B)))))))) # label(d2_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1788 (all A v1_relat_1(k1_wellord2(A))) # label(dt_k1_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1789 $T # label(t23_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1790 (all A (v3_ordinal1(A) -> v2_wellord1(k1_wellord2(A)))) # label(t7_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1791 (all A (v3_ordinal1(A) -> v6_relat_2(k1_wellord2(A)))) # label(t4_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1792 (all A all B (r1_tarski(A,B) -> k2_wellord1(k1_wellord2(B),A) = k1_wellord2(A))) # label(t8_wellord2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1793 (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].
15.36/14.95	1794 (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].
15.36/14.95	1795 (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].
15.36/14.95	1796 (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].
15.36/14.95	1797 (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].
15.36/14.95	1798 (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].
15.36/14.95	1799 (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].
15.36/14.95	1800 (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].
15.36/14.95	1801 (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].
15.36/14.95	1802 $T # label(t39_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1803 (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].
15.36/14.95	1804 $T # label(t57_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1805 (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].
15.36/14.95	1806 $T # label(t104_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1807 (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].
15.36/14.95	1808 $T # label(t139_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1809 $T # label(t124_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1810 (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].
15.36/14.95	1811 (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].
15.36/14.95	1812 (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].
15.36/14.95	1813 (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].
15.36/14.95	1814 $T # label(t105_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1815 $T # label(t97_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1816 (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].
15.36/14.95	1817 $T # label(t112_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1818 (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].
15.36/14.95	1819 (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].
15.36/14.95	1820 (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].
15.36/14.95	1821 $T # label(t101_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1822 (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].
15.36/14.95	1823 (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].
15.36/14.95	1824 (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].
15.36/14.95	1825 (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].
15.36/14.95	1826 $T # label(t52_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1827 (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].
15.36/14.95	1828 (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].
15.36/14.95	1829 $T # label(t100_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1830 $T # label(t69_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1831 (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].
15.36/14.95	1832 $T # label(t128_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1833 (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].
15.36/14.95	1834 $T # label(t144_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1835 (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].
15.36/14.95	1836 (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].
15.36/14.95	1837 (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].
15.36/14.95	1838 (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].
15.36/14.95	1839 $T # label(t54_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1840 (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].
15.36/14.95	1841 (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].
15.36/14.95	1842 (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].
15.36/14.95	1843 $T # label(t58_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1844 (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].
15.36/14.95	1845 $T # label(t42_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1846 (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].
15.36/14.95	1847 (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].
15.36/14.95	1848 (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].
15.36/14.95	1849 (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].
15.36/14.95	1850 (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].
15.36/14.95	1851 $T # label(t109_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1852 (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].
15.36/14.95	1853 (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].
15.36/14.95	1854 (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].
15.36/14.95	1855 (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].
15.36/14.95	1856 $T # label(t99_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1857 $T # label(t123_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1858 $T # label(t127_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1859 (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].
15.36/14.95	1860 $T # label(t147_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1861 (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].
15.36/14.95	1862 (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].
15.36/14.95	1863 (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].
15.36/14.95	1864 (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].
15.36/14.95	1865 (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].
15.36/14.95	1866 (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].
15.36/14.95	1867 (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].
15.36/14.95	1868 (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].
15.36/14.95	1869 $T # label(t72_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1870 (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].
15.36/14.95	1871 (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].
15.36/14.95	1872 (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].
15.36/14.95	1873 $T # label(t89_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1874 (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].
15.36/14.95	1875 (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].
15.36/14.95	1876 $T # label(t157_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1877 $T # label(t106_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1878 (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].
15.36/14.95	1879 (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].
15.36/14.95	1880 (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].
15.36/14.95	1881 (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].
15.36/14.95	1882 (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].
15.36/14.95	1883 (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].
15.36/14.95	1884 (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].
15.36/14.95	1885 $T # label(t103_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1886 $T # label(t111_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1887 $T # label(t90_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1888 $T # label(t84_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1889 $T # label(t63_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.95	1890 (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].
15.36/14.95	1891 (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].
15.36/14.96	1892 (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].
15.36/14.96	1893 $T # label(dt_k1_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	1894 (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].
15.36/14.96	1895 (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].
15.36/14.96	1896 (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].
15.36/14.96	1897 (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].
15.36/14.96	1898 (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].
15.36/14.96	1899 (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].
15.36/14.96	1900 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].
15.36/14.96	1901 (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].
15.36/14.96	1902 $T # label(t93_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	1903 $T # label(t126_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	1904 (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].
15.36/14.96	1905 $T # label(t163_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	1906 (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].
15.36/14.96	1907 (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].
15.36/14.96	1908 $T # label(t33_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	1909 $T # label(t122_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	1910 $T # label(t1_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	1911 $T # label(t94_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	1912 (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].
15.36/14.96	1913 (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].
15.36/14.96	1914 (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].
15.36/14.96	1915 $T # label(t125_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	1916 (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].
15.36/14.96	1917 (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].
15.36/14.96	1918 (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].
15.36/14.96	1919 $T # label(t96_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	1920 (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].
15.36/14.96	1921 (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].
15.36/14.96	1922 $T # label(t117_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	1923 (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].
15.36/14.96	1924 $T # label(t15_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	1925 (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].
15.36/14.96	1926 $T # label(t80_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	1927 (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].
15.36/14.96	1928 (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].
15.36/14.96	1929 (all A -v1_xboole_0(k1_funct_2(A,A))) # label(fc2_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	1930 (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].
15.36/14.96	1931 (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].
15.36/14.96	1932 $T # label(t135_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	1933 (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].
15.36/14.96	1934 (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].
15.36/14.96	1935 (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].
15.36/14.96	1936 (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].
15.36/14.96	1937 $T # label(t150_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	1938 (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].
15.36/14.96	1939 $T # label(t13_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	1940 (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].
15.36/14.96	1941 (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].
15.36/14.96	1942 (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].
15.36/14.96	1943 (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].
15.36/14.96	1944 $T # label(t114_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	1945 $T # label(t91_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	1946 (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].
15.36/14.96	1947 $T # label(t153_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	1948 (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].
15.36/14.96	1949 (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].
15.36/14.96	1950 (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].
15.36/14.96	1951 (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].
15.36/14.96	1952 (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].
15.36/14.96	1953 (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].
15.36/14.96	1954 (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].
15.36/14.96	1955 (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].
15.36/14.96	1956 (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].
15.36/14.96	1957 $T # label(t68_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	1958 (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].
15.36/14.96	1959 $T # label(t71_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	1960 (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].
15.36/14.96	1961 (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].
15.36/14.96	1962 (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].
15.36/14.96	1963 $T # label(t110_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	1964 $T # label(t2_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	1965 $T # label(t129_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	1966 (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].
15.36/14.96	1967 (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].
15.36/14.96	1968 (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].
15.36/14.96	1969 (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].
15.36/14.96	1970 $T # label(t56_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	1971 (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].
15.36/14.96	1972 (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].
15.36/14.96	1973 (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].
15.36/14.96	1974 $T # label(t98_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	1975 (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].
15.36/14.96	1976 (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].
15.36/14.96	1977 (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].
15.36/14.96	1978 (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].
15.36/14.96	1979 (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].
15.36/14.96	1980 $T # label(t137_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	1981 (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].
15.36/14.96	1982 (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].
15.36/14.96	1983 (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].
15.36/14.96	1984 (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].
15.36/14.96	1985 (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].
15.36/14.96	1986 $T # label(t140_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	1987 $T # label(t10_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	1988 $T # label(t138_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	1989 (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].
15.36/14.96	1990 (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].
15.36/14.96	1991 (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].
15.36/14.96	1992 (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].
15.36/14.96	1993 $T # label(t78_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	1994 (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].
15.36/14.96	1995 $T # label(t95_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	1996 $T # label(t102_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	1997 (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].
15.36/14.96	1998 (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].
15.36/14.96	1999 (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].
15.36/14.96	2000 $T # label(t108_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2001 (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].
15.36/14.96	2002 (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].
15.36/14.96	2003 $T # label(t107_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2004 (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].
15.36/14.96	2005 (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].
15.36/14.96	2006 $T # label(t81_funct_2) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2007 $T # label(t23_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2008 $T # label(t11_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2009 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (k1_relat_1(C) = A & A = k1_relat_1(B) -> k5_relat_1(k12_funct_3(A),k15_funct_3(B,C)) = k13_funct_3(B,C)))))) # label(t89_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2010 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (k3_xboole_0(k1_relat_1(A),k1_relat_1(B)) = k1_relat_1(C) & (all D (r2_hidden(D,k1_relat_1(C)) -> k4_tarski(k1_funct_1(A,D),k1_funct_1(B,D)) = k1_funct_1(C,D))) <-> k13_funct_3(A,B) = C))))))) # label(d8_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2011 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> r1_tarski(k10_relat_1(k1_funct_3(B),A),k1_zfmisc_1(k1_relat_1(B))))) # label(t13_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2012 (all A all B (v1_funct_1(k7_funct_3(A,B)) & v1_relat_1(k7_funct_3(A,B)))) # label(dt_k7_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2013 (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) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> k15_funct_3(k5_relat_1(B,A),k5_relat_1(D,C)) = k5_relat_1(k15_funct_3(B,D),k15_funct_3(A,C)))))))))) # label(t92_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2014 $T # label(t46_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2015 (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,A,B) & v1_funct_2(D,A,B) -> (all E (v1_funct_1(E) & v1_funct_2(E,A,C) & m2_relset_1(E,A,C) -> (all F (m1_subset_1(F,A) -> k4_tarski(k8_funct_2(A,B,D,F),k8_funct_2(A,C,E,F)) = k8_funct_2(A,k2_zfmisc_1(B,C),k14_funct_3(A,B,C,D,E),F))))))))))))) # label(t79_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2016 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(k9_relat_1(B,A),k1_relat_1(C)) & r1_tarski(A,k1_relat_1(B)) -> r1_tarski(A,k1_relat_1(k5_relat_1(B,C)))))))) # label(t3_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2017 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> k5_relat_1(k1_funct_3(A),k1_funct_3(B)) = k1_funct_3(k5_relat_1(A,B)))))) # label(t20_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2018 $T # label(t54_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2019 (all A all B (m2_relset_1(k9_funct_3(A,B),k2_zfmisc_1(A,B),A) & v1_funct_2(k9_funct_3(A,B),k2_zfmisc_1(A,B),A) & v1_funct_1(k9_funct_3(A,B)))) # label(dt_k9_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2020 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (k1_relat_1(C) = k1_relat_1(D) & k13_funct_3(D,C) = k13_funct_3(A,B) & k1_relat_1(B) = k1_relat_1(A) -> D = A & B = C))))))))) # label(t74_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2021 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> r1_tarski(k9_relat_1(k1_funct_3(B),A),k1_zfmisc_1(k2_relat_1(B))))) # label(t12_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2022 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (B = k1_relat_1(C) & r2_hidden(A,B) & B = k1_relat_1(D) -> k1_funct_1(k13_funct_3(C,D),A) = k4_tarski(k1_funct_1(C,A),k1_funct_1(D,A))))))) # label(t69_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2023 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (v2_funct_1(B) & r1_tarski(A,k1_zfmisc_1(k1_relat_1(B))) -> k9_relat_1(B,k3_tarski(A)) = k3_tarski(k10_relat_1(k3_funct_3(B),A))))) # label(t32_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2024 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (C = k7_funct_3(A,B) <-> k1_relat_1(C) = k2_zfmisc_1(A,B) & (all D all E (r2_hidden(D,A) & r2_hidden(E,B) -> k1_funct_1(C,k4_tarski(D,E)) = D))))) # label(d5_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2025 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_tarski(A,k1_zfmisc_1(k1_relat_1(B))) -> k9_relat_1(B,k3_tarski(A)) = k3_tarski(k9_relat_1(k1_funct_3(B),A))))) # label(t16_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2026 (all A all B (v1_relat_1(A) & v1_funct_1(B) & v1_relat_1(B) & v1_funct_1(A) -> v1_funct_1(k15_funct_3(A,B)) & v1_relat_1(k15_funct_3(A,B)))) # label(dt_k15_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2027 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (r1_tarski(A,k1_zfmisc_1(k2_relat_1(B))) -> k10_relat_1(B,k3_tarski(A)) = k3_tarski(k10_relat_1(k1_funct_3(B),A))))) # label(t19_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2028 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (k1_relat_1(D) = k1_relat_1(C) & r1_tarski(k2_relat_1(D),B) & r1_tarski(k2_relat_1(C),A) -> D = k5_relat_1(k13_funct_3(C,D),k10_funct_3(A,B)) & k5_relat_1(k13_funct_3(C,D),k9_funct_3(A,B)) = C))))) # label(t72_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2029 (all A (v1_relat_1(A) & v1_funct_1(A) -> v1_funct_1(k1_funct_3(A)) & v1_relat_1(k1_funct_3(A)))) # label(dt_k1_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2030 $T # label(t41_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2031 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (A = k1_relat_1(C) & A = k1_relat_1(B) -> A = k1_relat_1(k13_funct_3(B,C))))))) # label(t70_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2032 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (v2_funct_1(B) -> k9_relat_1(k3_funct_3(B),A) = k10_relat_1(k1_funct_3(B),A)))) # label(t34_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2033 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> ((all C (r1_tarski(C,k1_relat_1(A)) -> k1_funct_1(B,C) = k9_relat_1(A,C))) & k1_relat_1(B) = k1_zfmisc_1(k1_relat_1(A)) <-> B = k1_funct_3(A)))))) # label(d1_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2034 (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) -> ((all D all E (r2_hidden(D,k1_relat_1(A)) & r2_hidden(E,k1_relat_1(B)) -> k1_funct_1(C,k4_tarski(D,E)) = k4_tarski(k1_funct_1(A,D),k1_funct_1(B,E)))) & k1_relat_1(C) = k2_zfmisc_1(k1_relat_1(A),k1_relat_1(B)) <-> k15_funct_3(A,B) = C))))))) # label(d9_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2035 $T # label(t55_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2036 (all A all B r1_tarski(k2_relat_1(k7_funct_3(A,B)),A)) # label(t59_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2037 (all A all B all C all D all E all F (v1_funct_1(E) & m1_relset_1(E,A,C) & m1_relset_1(F,B,D) & v1_funct_2(F,B,D) & v1_funct_1(F) & v1_funct_2(E,A,C) -> m2_relset_1(k16_funct_3(A,B,C,D,E,F),k2_zfmisc_1(A,B),k2_zfmisc_1(C,D)) & v1_funct_2(k16_funct_3(A,B,C,D,E,F),k2_zfmisc_1(A,B),k2_zfmisc_1(C,D)) & v1_funct_1(k16_funct_3(A,B,C,D,E,F)))) # label(dt_k16_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2038 (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 (m2_relset_1(E,A,C) & v1_funct_2(E,A,C) & v1_funct_1(E) -> -((B = k1_xboole_0 -> A = k1_xboole_0) & -(k5_relat_1(k13_funct_3(D,E),k9_funct_3(B,C)) = D & k5_relat_1(k13_funct_3(D,E),k10_funct_3(B,C)) = E) & (C = k1_xboole_0 -> A = k1_xboole_0)))))) # label(t81_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2039 (all A all B all C all D all E all F (v1_funct_1(E) & v1_funct_2(E,A,C) & m1_relset_1(E,A,C) & v1_funct_1(F) & m1_relset_1(F,B,D) & v1_funct_2(F,B,D) -> k16_funct_3(A,B,C,D,E,F) = k15_funct_3(E,F))) # label(redefinition_k16_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2040 (all A all B all C (k4_funct_3(C,B) = k4_funct_3(A,B) & r1_tarski(C,B) & r1_tarski(A,B) -> C = A)) # label(t47_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2041 (all A all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(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) & m2_relset_1(E,A,C) & v1_funct_2(E,A,C) -> k7_funct_2(A,k2_zfmisc_1(B,C),C,k14_funct_3(A,B,C,D,E),k10_funct_3(B,C)) = E & k7_funct_2(A,k2_zfmisc_1(B,C),B,k14_funct_3(A,B,C,D,E),k9_funct_3(B,C)) = D)))))))) # label(t82_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2042 $T # label(t57_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2043 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r2_hidden(A,k3_xboole_0(k1_relat_1(B),k1_relat_1(C))) -> k4_tarski(k1_funct_1(B,A),k1_funct_1(C,A)) = k1_funct_1(k13_funct_3(B,C),A)))))) # label(t68_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2044 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(B)) -> (r2_hidden(A,C) -> r2_hidden(k1_funct_1(k6_funct_3(B,C),A),B)))) # label(t56_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2045 $T # label(t65_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2046 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (B = k11_funct_3(A) <-> (all C (r2_hidden(C,A) -> k4_tarski(C,C) = k1_funct_1(B,C))) & A = k1_relat_1(B)))) # label(d7_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2047 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> k2_zfmisc_1(k2_relat_1(A),k2_relat_1(B)) = k2_relat_1(k15_funct_3(A,B)))))) # label(t88_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2048 $T # label(t40_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2049 (all A all B r1_tarski(k2_relat_1(k4_funct_3(A,B)),k2_tarski(np__0,np__1))) # label(t48_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2050 (all A all B (A != k1_xboole_0 -> B = k2_relat_1(k7_funct_3(B,A)))) # label(t60_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2051 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> k2_zfmisc_1(k10_relat_1(C,A),k10_relat_1(D,B)) = k10_relat_1(k15_funct_3(C,D),k2_zfmisc_1(A,B)))))) # label(t94_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2052 $T # label(t58_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2053 $T # label(t26_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2054 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> r1_tarski(k9_relat_1(k3_funct_3(B),A),k10_relat_1(k1_funct_3(B),A)))) # label(t33_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2055 (all A all B k6_relat_1(k2_zfmisc_1(A,B)) = k15_funct_3(k6_relat_1(A),k6_relat_1(B))) # label(t90_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2056 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> k9_relat_1(k15_funct_3(C,D),k2_zfmisc_1(A,B)) = k2_zfmisc_1(k9_relat_1(C,A),k9_relat_1(D,B)))))) # label(t93_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2057 (all A all B (v1_funct_1(k4_funct_3(A,B)) & v1_relat_1(k4_funct_3(A,B)))) # label(dt_k4_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2058 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (r1_tarski(A,k1_zfmisc_1(k2_relat_1(B))) -> k10_relat_1(B,k3_tarski(A)) = k3_tarski(k9_relat_1(k3_funct_3(B),A))))) # label(t30_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2059 (all A (v1_relat_1(A) & v1_funct_1(A) -> v1_relat_1(k3_funct_3(A)) & v1_funct_1(k3_funct_3(A)))) # label(dt_k3_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2060 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (k1_relat_1(C) = k2_zfmisc_1(A,B) & (all D all E (r2_hidden(D,A) & r2_hidden(E,B) -> E = k1_funct_1(C,k4_tarski(D,E)))) <-> C = k8_funct_3(A,B)))) # label(d6_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2061 $T # label(t64_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2062 (all A all B k10_funct_3(A,B) = k8_funct_3(A,B)) # label(redefinition_k10_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2063 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> m2_relset_1(k6_funct_3(A,B),B,A) & v1_funct_2(k6_funct_3(A,B),B,A) & v1_funct_1(k6_funct_3(A,B)))) # label(dt_k6_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2064 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (r1_tarski(B,k1_zfmisc_1(k1_relat_1(A))) & v2_funct_1(A) -> k9_relat_1(k1_funct_3(A),B) = k10_relat_1(k3_funct_3(A),B))))) # label(t37_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2065 (all A (v1_relat_1(A) & v1_funct_1(A) -> m2_relset_1(k3_funct_3(A),k1_zfmisc_1(k2_relat_1(A)),k1_zfmisc_1(k1_relat_1(A))) & v1_funct_2(k3_funct_3(A),k1_zfmisc_1(k2_relat_1(A)),k1_zfmisc_1(k1_relat_1(A))) & v1_funct_1(k3_funct_3(A)))) # label(t39_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2066 (exists A (v1_relat_1(A) & v1_funct_1(A) & (all B all C (r2_hidden(B,f1_s2_funct_3) & r2_hidden(C,f2_s2_funct_3) -> k1_funct_1(A,k4_tarski(B,C)) = f3_s2_funct_3(B,C))) & k1_relat_1(A) = k2_zfmisc_1(f1_s2_funct_3,f2_s2_funct_3))) # label(s2_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2067 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> k13_funct_3(k5_relat_1(k9_funct_3(k1_relat_1(A),k1_relat_1(B)),A),k5_relat_1(k10_funct_3(k1_relat_1(A),k1_relat_1(B)),B)) = k15_funct_3(A,B))))) # label(t87_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2068 (all A r1_tarski(k2_relat_1(k11_funct_3(A)),k2_zfmisc_1(A,A))) # label(t66_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2069 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> k5_relat_1(k13_funct_3(B,D),k15_funct_3(A,C)) = k13_funct_3(k5_relat_1(B,A),k5_relat_1(D,C)))))))))) # label(t91_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2070 (all A all B k4_funct_3(A,B) = k5_funct_3(A,B)) # label(redefinition_k5_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2071 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> r1_tarski(k3_tarski(k9_relat_1(k1_funct_3(B),A)),k9_relat_1(B,k3_tarski(A))))) # label(t15_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2072 (all A all B k13_funct_3(k9_funct_3(A,B),k10_funct_3(A,B)) = k6_relat_1(k2_zfmisc_1(A,B))) # label(t73_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2073 (all A all B (m2_relset_1(k5_funct_3(A,B),B,k2_tarski(np__0,np__1)) & v1_funct_2(k5_funct_3(A,B),B,k2_tarski(np__0,np__1)) & v1_funct_1(k5_funct_3(A,B)))) # label(dt_k5_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2074 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> r1_tarski(k9_relat_1(k13_funct_3(B,C),A),k2_zfmisc_1(k9_relat_1(B,A),k9_relat_1(C,A))))))) # label(t76_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.96	2075 (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) -> k5_relat_1(C,k13_funct_3(A,B)) = k13_funct_3(k5_relat_1(C,A),k5_relat_1(C,B)))))))) # label(t75_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2076 (all A all B all C all D all E (-v1_xboole_0(B) & v1_funct_1(D) & m1_relset_1(E,A,C) & v1_funct_2(E,A,C) & v1_funct_1(E) & m1_relset_1(D,A,B) & v1_funct_2(D,A,B) & -v1_xboole_0(C) -> k14_funct_3(A,B,C,D,E) = k13_funct_3(D,E))) # label(redefinition_k14_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2077 (all A all B all C all D all E (v1_funct_1(E) & v1_funct_2(E,A,B) & m2_relset_1(E,A,B) -> (all F (v1_funct_1(F) & m2_relset_1(F,C,D) & v1_funct_2(F,C,D) -> v1_funct_1(k15_funct_3(E,F)) & v1_funct_2(k15_funct_3(E,F),k2_zfmisc_1(A,C),k2_zfmisc_1(B,D)) & m2_relset_1(k15_funct_3(E,F),k2_zfmisc_1(A,C),k2_zfmisc_1(B,D)))))) # label(t95_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2078 (all A all B k9_funct_3(A,B) = k7_funct_3(A,B)) # label(redefinition_k9_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2079 (all A all B all C all D all E (v1_funct_1(E) & m2_relset_1(E,A,B) & v1_funct_2(E,A,B) -> (all F (v1_funct_1(F) & m2_relset_1(F,C,D) & v1_funct_2(F,C,D) -> -(k13_funct_3(k5_relat_1(k9_funct_3(A,C),E),k5_relat_1(k10_funct_3(A,C),F)) != k16_funct_3(A,C,B,D,E,F) & (k1_xboole_0 = D -> C = k1_xboole_0) & (k1_xboole_0 = B -> A = k1_xboole_0)))))) # label(t97_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2080 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> r1_tarski(k3_tarski(k10_relat_1(k3_funct_3(B),A)),k9_relat_1(B,k3_tarski(A))))) # label(t31_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2081 $T # label(t85_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2082 (all A all B (k1_xboole_0 != A -> k2_relat_1(k8_funct_3(A,B)) = B)) # label(t62_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2083 (all A all B r1_tarski(k2_relat_1(k8_funct_3(A,B)),B)) # label(t61_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2084 (all A all B all C (-v1_xboole_0(B) & v1_funct_1(C) & m1_relset_1(C,A,B) & v1_funct_2(C,A,B) -> k2_funct_3(A,B,C) = k1_funct_3(C))) # label(redefinition_k2_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2085 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (r2_hidden(A,k1_relat_1(k1_funct_3(B))) -> k1_funct_1(k1_funct_3(B),A) = k9_relat_1(B,A)))) # label(t8_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2086 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (r2_hidden(A,k1_relat_1(k3_funct_3(B))) -> k1_funct_1(k3_funct_3(B),A) = k10_relat_1(B,A)))) # label(t24_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2087 (all A (v1_funct_1(k11_funct_3(A)) & v1_relat_1(k11_funct_3(A)))) # label(dt_k11_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2088 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(A,k1_relat_1(k5_relat_1(B,C))) -> r1_tarski(k9_relat_1(B,A),k1_relat_1(C))))))) # label(t2_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2089 (all A all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> (all E (m2_relset_1(E,A,B) & v1_funct_2(E,A,B) & v1_funct_1(E) -> (all F (v1_funct_1(F) & v1_funct_2(F,A,C) & m2_relset_1(F,A,C) -> (all G (v1_funct_2(G,A,C) & m2_relset_1(G,A,C) & v1_funct_1(G) -> (k14_funct_3(A,B,C,D,F) = k14_funct_3(A,B,C,E,G) -> E = D & G = F))))))))))))) # label(t84_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2090 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (k2_zfmisc_1(A,B) = k1_relat_1(D) & (all E all F (r2_hidden(F,B) & r2_hidden(E,A) -> k1_funct_1(D,k4_tarski(E,F)) = k1_funct_1(C,k4_tarski(E,F)))) & k2_zfmisc_1(A,B) = k1_relat_1(C) -> D = C))))) # label(t6_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2091 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (v2_funct_1(B) -> k3_funct_3(k5_relat_1(A,B)) = k5_relat_1(k3_funct_3(B),k3_funct_3(A))))))) # label(t38_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2092 (all A all B (r1_tarski(A,B) -> k7_relat_1(k6_relat_1(B),A) = k6_relat_1(A))) # label(t1_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2093 (all A all B (v1_funct_1(k8_funct_3(A,B)) & v1_relat_1(k8_funct_3(A,B)))) # label(dt_k8_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2094 $T # label(t7_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2095 (all A all B all C all D all E (-v1_xboole_0(C) & v1_funct_2(D,A,B) & m1_relset_1(D,A,B) & v1_funct_1(E) & v1_funct_2(E,A,C) & m1_relset_1(E,A,C) & v1_funct_1(D) & -v1_xboole_0(B) -> m2_relset_1(k14_funct_3(A,B,C,D,E),A,k2_zfmisc_1(B,C)) & v1_funct_2(k14_funct_3(A,B,C,D,E),A,k2_zfmisc_1(B,C)) & v1_funct_1(k14_funct_3(A,B,C,D,E)))) # label(dt_k14_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2096 (all A (v1_funct_1(k12_funct_3(A)) & v1_funct_2(k12_funct_3(A),A,k2_zfmisc_1(A,A)) & m2_relset_1(k12_funct_3(A),A,k2_zfmisc_1(A,A)))) # label(dt_k12_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2097 $T # label(t67_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2098 $T # label(d4_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2099 (all A k11_funct_3(A) = k12_funct_3(A)) # label(redefinition_k12_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2100 $T # label(t44_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2101 $T # label(t52_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2102 (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,A,C) & m2_relset_1(E,A,C) -> r1_tarski(k2_relat_1(k13_funct_3(D,E)),k2_zfmisc_1(B,C)))))) # label(t80_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2103 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (k1_relat_1(B) = k1_zfmisc_1(k2_relat_1(A)) & (all C (r1_tarski(C,k2_relat_1(A)) -> k10_relat_1(A,C) = k1_funct_1(B,C))) <-> B = k3_funct_3(A)))))) # label(d2_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2104 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> r1_tarski(k9_relat_1(k3_funct_3(B),A),k1_zfmisc_1(k1_relat_1(B))))) # label(t27_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2105 (all A all B all C (-v1_xboole_0(C) -> (all D (m2_relset_1(D,A,C) & v1_funct_2(D,A,C) & v1_funct_1(D) -> r1_tarski(k10_relat_1(k1_funct_3(D),B),k1_zfmisc_1(A)))))) # label(t14_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2106 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> r1_tarski(k2_relat_1(k13_funct_3(A,B)),k2_zfmisc_1(k2_relat_1(A),k2_relat_1(B))))))) # label(t71_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2107 $T # label(t45_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2108 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (r1_tarski(B,k1_zfmisc_1(k1_relat_1(A))) -> r1_tarski(k10_relat_1(k3_funct_3(A),B),k9_relat_1(k1_funct_3(A),B)))))) # label(t35_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2109 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> r1_tarski(k3_tarski(k9_relat_1(k3_funct_3(B),A)),k10_relat_1(B,k3_tarski(A))))) # label(t29_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2110 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(A,k2_relat_1(C)) & r1_tarski(k10_relat_1(C,A),k2_relat_1(B)) -> r1_tarski(A,k2_relat_1(k5_relat_1(B,C)))))))) # label(t5_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2111 (all A all B all C (-v1_xboole_0(B) & v1_funct_1(C) & m1_relset_1(C,A,B) & v1_funct_2(C,A,B) -> m2_relset_1(k2_funct_3(A,B,C),k1_zfmisc_1(A),k1_zfmisc_1(B)) & v1_funct_2(k2_funct_3(A,B,C),k1_zfmisc_1(A),k1_zfmisc_1(B)) & v1_funct_1(k2_funct_3(A,B,C)))) # label(dt_k2_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2112 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> r1_tarski(k10_relat_1(k3_funct_3(B),A),k1_zfmisc_1(k2_relat_1(B))))) # label(t28_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2113 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v2_funct_1(A) -> r1_tarski(k9_relat_1(k1_funct_3(A),B),k10_relat_1(k3_funct_3(A),B)))))) # label(t36_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2114 (all A all B all C (k1_funct_1(k4_funct_3(B,C),A) = np__1 -> r2_hidden(A,B))) # label(t42_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2115 (all A all B all C (r2_hidden(A,k4_xboole_0(B,C)) -> np__0 = k1_funct_1(k4_funct_3(C,B),A))) # label(t43_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2116 (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) & v1_funct_2(E,A,B) & m2_relset_1(E,A,B) -> (all F (v1_funct_2(F,A,C) & m2_relset_1(F,A,C) & v1_funct_1(F) -> (all G (v1_funct_2(G,A,C) & m2_relset_1(G,A,C) & v1_funct_1(G) -> (k13_funct_3(D,F) = k13_funct_3(E,G) -> E = D & G = F | k1_xboole_0 = C & A != k1_xboole_0 | B = k1_xboole_0 & A != k1_xboole_0))))))))) # label(t83_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2117 (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 (v1_funct_2(E,A,C) & m2_relset_1(E,A,C) & v1_funct_1(E) -> -((B = k1_xboole_0 -> k1_xboole_0 = A) & -(v1_funct_1(k13_funct_3(D,E)) & m2_relset_1(k13_funct_3(D,E),A,k2_zfmisc_1(B,C)) & v1_funct_2(k13_funct_3(D,E),A,k2_zfmisc_1(B,C))) & (C = k1_xboole_0 -> k1_xboole_0 = A)))))) # label(t78_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2118 (all A (v1_funct_1(A) & v1_relat_1(A) -> k1_relat_1(A) = k2_funct_2(k2_zfmisc_1(k1_relat_1(A),k2_relat_1(A)),k1_relat_1(A),k9_funct_3(k1_relat_1(A),k2_relat_1(A)),A))) # label(t100_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2119 (all A all B all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (m2_relset_1(E,A,C) & v1_funct_2(E,A,C) & v1_funct_1(E) -> (all F (v1_funct_1(F) & m2_relset_1(F,B,D) & v1_funct_2(F,B,D) -> k13_funct_3(k5_relat_1(k9_funct_3(A,B),E),k5_relat_1(k10_funct_3(A,B),F)) = k16_funct_3(A,B,C,D,E,F))))))))) # label(t98_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2120 (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 -> k1_xboole_0 = A) -> v1_funct_1(k1_funct_3(C)) & v1_funct_2(k1_funct_3(C),k1_zfmisc_1(A),k1_zfmisc_1(B)) & m2_relset_1(k1_funct_3(C),k1_zfmisc_1(A),k1_zfmisc_1(B))))) # label(t22_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2121 (all A all B (v1_relat_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_funct_1(A) -> v1_funct_1(k13_funct_3(A,B)) & v1_relat_1(k13_funct_3(A,B)))) # label(dt_k13_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2122 $T # label(t51_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2123 (all A all B (v1_funct_1(B) & m2_relset_1(B,A,k2_tarski(np__0,np__1)) & v1_funct_2(B,A,k2_tarski(np__0,np__1)) -> B = k4_funct_3(k3_funct_2(A,k2_tarski(np__0,np__1),B,k1_tarski(np__1)),A))) # label(t49_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2124 (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 (m2_relset_1(E,A,B) & v1_funct_2(E,A,B) & v1_funct_1(E) -> (all F (v1_funct_1(F) & v1_funct_2(F,C,D) & m2_relset_1(F,C,D) -> (all G (m1_subset_1(G,A) -> (all H (m1_subset_1(H,C) -> k1_funct_1(k16_funct_3(A,C,B,D,E,F),k4_tarski(G,H)) = k4_tarski(k8_funct_2(A,B,E,G),k8_funct_2(C,D,F,H)))))))))))))))))) # label(t96_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2125 (all A all B all C all D (r2_hidden(A,f1_s1_funct_3) & p1_s1_funct_3(A,B,C) & p1_s1_funct_3(A,B,D) & r2_hidden(B,f2_s1_funct_3) -> D = C)) & (all A all B -(r2_hidden(B,f2_s1_funct_3) & (all C -p1_s1_funct_3(A,B,C)) & r2_hidden(A,f1_s1_funct_3))) -> (exists A (k2_zfmisc_1(f1_s1_funct_3,f2_s1_funct_3) = k1_relat_1(A) & (all B all C (r2_hidden(B,f1_s1_funct_3) & r2_hidden(C,f2_s1_funct_3) -> p1_s1_funct_3(B,C,k1_funct_1(A,k4_tarski(B,C))))) & v1_funct_1(A) & v1_relat_1(A))) # label(s1_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2126 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (k4_funct_3(A,B) = C <-> k1_relat_1(C) = B & (all D (r2_hidden(D,B) -> (-r2_hidden(D,A) -> np__0 = k1_funct_1(C,D)) & (r2_hidden(D,A) -> k1_funct_1(C,D) = np__1)))))) # label(d3_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2127 (all A all B all C (-v1_xboole_0(C) -> (all D (v1_funct_2(D,A,C) & m2_relset_1(D,A,C) & v1_funct_1(D) -> (r1_tarski(B,k1_zfmisc_1(A)) -> k2_funct_2(A,C,D,k3_tarski(B)) = k3_tarski(k9_relat_1(k1_funct_3(D),B))))))) # label(t17_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2128 (all A all B (m2_relset_1(k10_funct_3(A,B),k2_zfmisc_1(A,B),B) & v1_funct_2(k10_funct_3(A,B),k2_zfmisc_1(A,B),B) & v1_funct_1(k10_funct_3(A,B)))) # label(dt_k10_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2129 $T # label(t50_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2130 (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,A,C) & m2_relset_1(E,A,C) & v1_funct_1(E) -> k5_relat_1(k12_funct_3(A),k16_funct_3(A,A,B,C,D,E)) = k13_funct_3(D,E))))) # label(t99_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2131 (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(k4_tarski(C,D),k2_zfmisc_1(k1_relat_1(A),k1_relat_1(B))) -> k4_tarski(k1_funct_1(A,C),k1_funct_1(B,D)) = k1_funct_1(k15_funct_3(A,B),k4_tarski(C,D)))))))) # label(t86_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2132 (all A (v1_funct_1(A) & v1_relat_1(A) -> k1_xboole_0 = k1_funct_1(k1_funct_3(A),k1_xboole_0))) # label(t9_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2133 (all A (v1_relat_1(A) & v1_funct_1(A) -> r1_tarski(k2_relat_1(k3_funct_3(A)),k1_zfmisc_1(k1_relat_1(A))))) # label(t25_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2134 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_funct_2(k1_funct_3(A),k1_zfmisc_1(k1_relat_1(A)),k1_zfmisc_1(k2_relat_1(A))) & m2_relset_1(k1_funct_3(A),k1_zfmisc_1(k1_relat_1(A)),k1_zfmisc_1(k2_relat_1(A))) & v1_funct_1(k1_funct_3(A)))) # label(t21_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2135 $T # label(t63_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2136 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> k7_relat_1(k6_relat_1(A),B) = k6_funct_3(A,B))) # label(t53_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2137 (all A all B (-v1_xboole_0(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> k3_xboole_0(k10_relat_1(C,A),k10_relat_1(D,B)) = k10_relat_1(k13_funct_3(C,D),k2_zfmisc_1(A,B)))))))) # label(t77_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2138 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> k6_relat_1(B) = k6_funct_3(A,B))) # label(redefinition_k6_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2139 (all A (v1_relat_1(A) & v1_funct_1(A) -> r1_tarski(k2_relat_1(k1_funct_3(A)),k1_zfmisc_1(k2_relat_1(A))))) # label(t10_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2140 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(A,k2_relat_1(k5_relat_1(B,C))) & v2_funct_1(C) -> r1_tarski(k10_relat_1(C,A),k2_relat_1(B))))))) # label(t4_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2141 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> r1_tarski(k3_tarski(k10_relat_1(k1_funct_3(B),A)),k10_relat_1(B,k3_tarski(A))))) # label(t18_funct_3) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2142 $T # label(t6_domain_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2143 (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].
15.36/14.97	2144 (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].
15.36/14.97	2145 (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].
15.36/14.97	2146 (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].
15.36/14.97	2147 (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].
15.36/14.97	2148 (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].
15.36/14.97	2149 (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].
15.36/14.97	2150 (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].
15.36/14.97	2151 (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].
15.36/14.97	2152 (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].
15.36/14.97	2153 (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].
15.36/14.97	2154 $T # label(t47_domain_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2155 $T # label(t27_domain_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2156 (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].
15.36/14.97	2157 (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].
15.36/14.97	2158 (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].
15.36/14.97	2159 (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].
15.36/14.97	2160 (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].
15.36/14.97	2161 (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].
15.36/14.97	2162 (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].
15.36/14.97	2163 (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].
15.36/14.97	2164 (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].
15.36/14.97	2165 (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].
15.36/14.97	2166 $T # label(t29_domain_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2167 (all A all B all C all D all E all F (-v1_xboole_0(A) & m1_subset_1(C,A) & m1_subset_1(E,A) & m1_subset_1(F,A) & m1_subset_1(D,A) & m1_subset_1(B,A) -> k10_domain_1(A,B,C,D,E,F) = k3_enumset1(B,C,D,E,F))) # label(redefinition_k10_domain_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2168 (all A (-v1_xboole_0(A) -> ((all B (m1_subset_1(B,A) -> (p1_s5_domain_1(B) -> p2_s5_domain_1(B)))) -> r1_tarski(a_1_3_domain_1(A),a_1_4_domain_1(A))))) # label(s5_domain_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2169 (all A all B (-v1_xboole_0(B) -> ((exists C (C = A & -$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].
15.36/14.97	2170 (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].
15.36/14.97	2171 (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].
15.36/14.97	2172 (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].
15.36/14.97	2173 (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].
15.36/14.97	2174 $T # label(t20_domain_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2175 (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].
15.36/14.97	2176 (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].
15.36/14.97	2177 $T # label(t13_domain_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2178 (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].
15.36/14.97	2179 (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].
15.36/14.97	2180 (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].
15.36/14.97	2181 (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].
15.36/14.97	2182 (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].
15.36/14.97	2183 (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].
15.36/14.97	2184 $T # label(t38_domain_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2185 (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].
15.36/14.97	2186 (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].
15.36/14.97	2187 (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].
15.36/14.97	2188 (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].
15.36/14.97	2189 (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].
15.36/14.97	2190 (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].
15.36/14.97	2191 (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].
15.36/14.97	2192 (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].
15.36/14.97	2193 (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].
15.36/14.97	2194 $T # label(t36_domain_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2195 $T # label(t46_domain_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2196 (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].
15.36/14.97	2197 $T # label(t7_domain_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2198 (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].
15.36/14.97	2199 (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].
15.36/14.97	2200 $T # label(t3_domain_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2201 (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].
15.36/14.97	2202 $T # label(t1_domain_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2203 (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].
15.36/14.97	2204 (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].
15.36/14.97	2205 (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].
15.36/14.97	2206 (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].
15.36/14.97	2207 (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].
15.36/14.97	2208 (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].
15.36/14.97	2209 (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].
15.36/14.97	2210 $T # label(t11_domain_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2211 $T # label(t10_domain_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2212 (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].
15.36/14.97	2213 (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].
15.36/14.97	2214 (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].
15.36/14.97	2215 (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].
15.36/14.97	2216 $T # label(t34_domain_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.97	2217 (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].
15.36/14.97	2218 (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].
15.36/14.97	2219 (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].
15.36/14.97	2220 (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].
15.36/14.97	2221 (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].
15.36/14.97	2222 (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].
15.36/14.97	2223 (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].
15.36/14.97	2224 (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].
15.36/14.97	2225 (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].
15.36/14.98	2226 (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].
15.36/14.98	2227 (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].
15.36/14.98	2228 (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].
15.36/14.98	2229 $T # label(t35_domain_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2230 $T # label(t2_domain_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2231 $T # label(t18_domain_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2232 (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].
15.36/14.98	2233 (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].
15.36/14.98	2234 $T # label(t30_domain_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2235 $T # label(t21_domain_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2236 $T # label(t4_domain_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2237 $T # label(t39_domain_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2238 (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].
15.36/14.98	2239 $T # label(t5_domain_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2240 (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].
15.36/14.98	2241 $T # label(t44_domain_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2242 $T # label(t19_domain_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2243 (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].
15.36/14.98	2244 (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].
15.36/14.98	2245 (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].
15.36/14.98	2246 (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].
15.36/14.98	2247 (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].
15.36/14.98	2248 (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].
15.36/14.98	2249 $T # label(t23_domain_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2250 (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].
15.36/14.98	2251 (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].
15.36/14.98	2252 (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].
15.36/14.98	2253 (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].
15.36/14.98	2254 (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].
15.36/14.98	2255 (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].
15.36/14.98	2256 (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].
15.36/14.98	2257 (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].
15.36/14.98	2258 $T # label(t37_domain_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2259 (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].
15.36/14.98	2260 (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].
15.36/14.98	2261 (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].
15.36/14.98	2262 (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].
15.36/14.98	2263 (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].
15.36/14.98	2264 (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].
15.36/14.98	2265 (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].
15.36/14.98	2266 $T # label(t22_domain_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2267 (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].
15.36/14.98	2268 $T # label(t14_domain_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2269 (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].
15.36/14.98	2270 $T # label(t8_domain_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2271 (all A (-v1_xboole_0(A) -> a_1_0_domain_1(A) = A)) # label(t48_domain_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2272 (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].
15.36/14.98	2273 (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].
15.36/14.98	2274 (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].
15.36/14.98	2275 (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].
15.36/14.98	2276 (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].
15.36/14.98	2277 (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].
15.36/14.98	2278 $T # label(t3_binop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2279 (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].
15.36/14.98	2280 (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].
15.36/14.98	2281 (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].
15.36/14.98	2282 $T # label(t9_binop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2283 (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].
15.36/14.98	2284 (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].
15.36/14.98	2285 (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].
15.36/14.98	2286 $T # label(t7_binop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2287 $T # label(t8_binop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2288 (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].
15.36/14.98	2289 (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].
15.36/14.98	2290 (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].
15.36/14.98	2291 $T # label(t10_binop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2292 (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].
15.36/14.98	2293 $T # label(t20_binop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2294 (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].
15.36/14.98	2295 (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].
15.36/14.98	2296 (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].
15.36/14.98	2297 (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].
15.36/14.98	2298 (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].
15.36/14.98	2299 (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].
15.36/14.98	2300 (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].
15.36/14.98	2301 (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].
15.36/14.98	2302 $T # label(t5_binop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2303 $T # label(t6_binop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2304 (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].
15.36/14.98	2305 (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].
15.36/14.98	2306 (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].
15.36/14.98	2307 (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].
15.36/14.98	2308 (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].
15.36/14.98	2309 (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].
15.36/14.98	2310 (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].
15.36/14.98	2311 $T # label(t4_binop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2312 (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].
15.36/14.98	2313 (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].
15.36/14.98	2314 (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].
15.36/14.98	2315 (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].
15.36/14.98	2316 (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].
15.36/14.98	2317 (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].
15.36/14.98	2318 (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].
15.36/14.98	2319 $T # label(t1_binop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2320 (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].
15.36/14.98	2321 (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].
15.36/14.98	2322 (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].
15.36/14.98	2323 $T # label(dt_k1_binop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2324 (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].
15.36/14.98	2325 $T # label(t21_binop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2326 $T # label(t22_binop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2327 (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].
15.36/14.98	2328 (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].
15.36/14.98	2329 (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].
15.36/14.98	2330 (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].
15.36/14.98	2331 (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].
15.36/14.98	2332 $T # label(t19_binop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2333 (all A all B all C all D (-v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,A,k2_zfmisc_1(B,C)) & m1_relset_1(D,A,k2_zfmisc_1(B,C)) & -v1_xboole_0(B) & -v1_xboole_0(A) -> m2_relset_1(k9_funcop_1(A,B,C,D),B,C))) # label(dt_k9_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2334 (all A all B all C (v1_funct_1(A) & v1_relat_1(C) & v1_funct_1(C) & v1_funct_1(B) & v1_relat_1(B) & v1_relat_1(A) -> v1_funct_1(k3_funcop_1(A,B,C)) & v1_relat_1(k3_funcop_1(A,B,C)))) # label(fc4_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2335 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(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 (v1_funct_1(D) & m2_relset_1(D,B,A) & v1_funct_2(D,B,A) -> (all E (v1_funct_2(E,B,A) & m2_relset_1(E,B,A) & v1_funct_1(E) -> (all F (m1_subset_1(F,A) -> ((all G (m1_subset_1(G,B) -> k2_binop_1(A,A,A,C,k8_funct_2(B,A,E,G),F) = k8_funct_2(B,A,D,G))) -> k7_funcop_1(A,B,C,E,F) = D))))))))))))) # label(t61_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2336 (all A (k2_relat_1(k2_funcop_1(k1_xboole_0,A)) = k1_xboole_0 & k1_relat_1(k2_funcop_1(k1_xboole_0,A)) = k1_xboole_0)) # label(t16_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2337 (all A all B all C (v1_relat_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_funct_1(A) -> v1_funct_1(k4_funcop_1(A,B,C)) & v1_relat_1(k4_funcop_1(A,B,C)))) # label(fc5_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2338 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (all D k5_relat_1(B,k4_funcop_1(C,A,D)) = k4_funcop_1(C,k5_relat_1(B,A),D)))))))) # label(t37_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2339 (all A all B all C all D all E (-v1_xboole_0(A) & -v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(D,B,A) & m1_relset_1(E,B,A) & v1_funct_2(E,B,A) & v1_funct_1(E) & m1_relset_1(D,B,A) & v1_funct_1(D) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) -> k3_funcop_1(C,D,E) = k6_funcop_1(A,B,C,D,E))) # label(redefinition_k6_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2340 (all A all B k10_relat_1(k2_funcop_1(A,B),k1_tarski(B)) = A) # label(t21_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2341 (all A (-v1_xboole_0(A) -> (all B (-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,B,A) & m2_relset_1(D,B,A) & v1_funct_1(D) -> (all E (v1_funct_2(E,B,A) & m2_relset_1(E,B,A) & v1_funct_1(E) -> (all F (m1_subset_1(F,A) -> ((all G (m1_subset_1(G,B) -> k2_binop_1(A,A,A,C,F,k8_funct_2(B,A,E,G)) = k8_funct_2(B,A,D,G))) -> D = k8_funcop_1(A,B,C,F,E)))))))))))))) # label(t67_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2342 $T # label(t62_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2343 (all A all B all C all D all E (-v1_xboole_0(B) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_2(E,B,A) & m1_relset_1(E,B,A) & v1_funct_1(E) & m1_subset_1(D,A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & -v1_xboole_0(A) -> v1_funct_2(k8_funcop_1(A,B,C,D,E),B,A) & m2_relset_1(k8_funcop_1(A,B,C,D,E),B,A) & v1_funct_1(k8_funcop_1(A,B,C,D,E)))) # label(dt_k8_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2344 (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,A,k2_zfmisc_1(B,C)) & v1_funct_2(D,A,k2_zfmisc_1(B,C)) -> (all E (m1_subset_1(E,A) -> k1_funct_1(k1_funcop_1(D),E) = k4_tarski(k2_mcart_1(k8_funct_2(A,k2_zfmisc_1(B,C),D,E)),k1_mcart_1(k8_funct_2(A,k2_zfmisc_1(B,C),D,E))))))))))))) # label(t71_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2345 (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) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> ((all E (r2_hidden(E,k1_relat_1(k3_funcop_1(C,A,B))) -> k1_binop_1(C,k1_funct_1(A,E),k1_funct_1(B,E)) = k1_funct_1(D,E))) & k1_relat_1(k3_funcop_1(C,A,B)) = k1_relat_1(D) -> k3_funcop_1(C,A,B) = D))))))))) # label(t27_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2346 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),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,B) -> (all F (m1_subset_1(F,B) -> (v2_binop_1(C,B) -> k8_funcop_1(B,A,C,E,k8_funcop_1(B,A,C,F,D)) = k8_funcop_1(B,A,C,k2_binop_1(B,B,B,C,E,F),D)))))))))))))) # label(t77_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2347 (all A all B all C all D (-v1_xboole_0(B) & -v1_xboole_0(C) & m1_relset_1(D,A,k2_zfmisc_1(B,C)) & v1_funct_2(D,A,k2_zfmisc_1(B,C)) & v1_funct_1(D) & -v1_xboole_0(A) -> D = k10_funcop_1(A,B,C,k10_funcop_1(A,B,C,D)))) # label(involutiveness_k10_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2348 (all A (-v1_xboole_0(A) -> (all B (-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_2(D,B,A) & m2_relset_1(D,B,A) & v1_funct_1(D) -> (all E (v1_funct_1(E) & v1_funct_2(E,B,A) & m2_relset_1(E,B,A) -> (all F (m1_subset_1(F,B) -> k8_funct_2(B,A,k6_funcop_1(A,B,C,D,E),F) = k2_binop_1(A,A,A,C,k8_funct_2(B,A,D,F),k8_funct_2(B,A,E,F)))))))))))))) # label(t48_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2349 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C (v1_relat_1(C) & v1_funct_1(C) -> (all D k5_relat_1(k6_partfun1(B),k4_funcop_1(C,A,D)) = k4_funcop_1(C,k7_relat_1(A,B),D)))))) # label(t39_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2350 (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) & (all C (r2_hidden(C,k1_relat_1(A)) -> -((all D all E k4_tarski(D,E) != k1_funct_1(A,C)) & k1_funct_1(A,C) != k1_funct_1(B,C)) & (all D all E (k4_tarski(D,E) = k1_funct_1(A,C) -> k4_tarski(E,D) = k1_funct_1(B,C))))) <-> k1_funcop_1(A) = B))))) # label(d1_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2351 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(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 (v1_funct_1(D) & m2_relset_1(D,B,A) & v1_funct_2(D,B,A) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,B) -> k2_binop_1(A,A,A,C,k8_funct_2(B,A,D,F),E) = k8_funct_2(B,A,k7_funcop_1(A,B,C,D,E),F))))))))))))) # label(t60_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2352 (all A all B (v1_funct_1(A) & v1_funct_1(B) & v1_relat_1(B) & v1_funcop_1(A) & v1_relat_1(A) -> v1_funct_1(k5_relat_1(B,A)) & v1_funcop_1(k5_relat_1(B,A)) & v1_relat_1(k5_relat_1(B,A)))) # label(fc8_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2353 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C k3_funcop_1(B,k2_funcop_1(k1_relat_1(A),C),A) = k5_funcop_1(B,C,A)))))) # label(t41_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2354 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_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(k3_funcop_1(D,B,C),A) = k3_funcop_1(k5_relat_1(D,A),B,C))))))))) # label(t32_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2355 (all A k13_funct_3(k6_partfun1(A),k6_partfun1(A)) = k12_funct_3(A)) # label(t2_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2356 (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 (m1_subset_1(C,A) -> k2_binop_1(A,A,A,B,C,C) = k8_funct_2(A,A,k8_funcop_1(A,A,B,C,k6_partfun1(A)),C))))))) # label(t70_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2357 (all A all B (v1_xboole_0(B) -> v2_funct_1(k2_funcop_1(B,A)) & v1_funct_1(k2_funcop_1(B,A)) & v1_relat_1(k2_funcop_1(B,A)) & v1_xboole_0(k2_funcop_1(B,A)))) # label(fc3_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2358 $T # label(t68_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2359 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (all D k5_relat_1(k4_funcop_1(C,B,D),A) = k4_funcop_1(k5_relat_1(C,A),B,D)))))))) # label(t38_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2360 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C k5_relat_1(A,k2_funcop_1(B,C)) = k2_funcop_1(k10_relat_1(A,B),C)))) # label(t25_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2361 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_2(C,k2_zfmisc_1(B,B),B) & m2_relset_1(C,k2_zfmisc_1(B,B),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,B) -> k7_funct_2(A,B,B,D,k8_funcop_1(B,B,C,E,k6_partfun1(B))) = k8_funcop_1(B,A,C,E,D))))))))))) # label(t69_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2362 (all A all B all C (-r2_hidden(B,C) -> k10_relat_1(k2_funcop_1(A,B),C) = k1_xboole_0)) # label(t22_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2363 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & v1_funct_1(C) -> (all D (m2_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) -> (all E (m1_subset_1(E,B) -> (v1_binop_1(C,B) -> k7_funcop_1(B,A,C,D,E) = k8_funcop_1(B,A,C,E,D)))))))))))) # label(t79_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2364 $T # label(dt_k5_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2365 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(k2_zfmisc_1(k2_relat_1(B),k2_relat_1(C)),k1_relat_1(A)) -> k3_xboole_0(k1_relat_1(B),k1_relat_1(C)) = k1_relat_1(k3_funcop_1(A,B,C))))))))) # label(t84_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2366 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C k5_relat_1(k13_funct_3(B,k2_funcop_1(k1_relat_1(B),C)),A) = k4_funcop_1(A,B,C)))))) # label(d4_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2367 $T # label(t8_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2368 (all A all B k2_zfmisc_1(A,k1_tarski(B)) = k2_funcop_1(A,B)) # label(d2_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2369 (all A all B all C all D all E (-v1_xboole_0(A) & v1_funct_1(C) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(D,B,A) & m1_subset_1(E,A) & m1_relset_1(D,B,A) & v1_funct_1(D) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & -v1_xboole_0(B) -> m2_relset_1(k7_funcop_1(A,B,C,D,E),B,A) & v1_funct_2(k7_funcop_1(A,B,C,D,E),B,A) & v1_funct_1(k7_funcop_1(A,B,C,D,E)))) # label(dt_k7_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2370 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & v1_funct_1(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> (all E (m1_subset_1(E,B) -> v1_funct_1(k4_funcop_1(C,D,E)) & v1_funct_2(k4_funcop_1(C,D,E),A,B) & m2_relset_1(k4_funcop_1(C,D,E),A,B))))))))))) # label(t59_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2371 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & v1_funct_1(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) & v1_funct_2(E,A,B) & m2_relset_1(E,A,B) -> (all F (m1_subset_1(F,B) -> (v2_binop_1(C,B) -> k6_funcop_1(B,A,C,D,k8_funcop_1(B,A,C,F,E)) = k6_funcop_1(B,A,C,k7_funcop_1(B,A,C,D,F),E)))))))))))))) # label(t75_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2372 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) -> (all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> (all E (v1_funct_1(E) & m2_relset_1(E,A,B) & v1_funct_2(E,A,B) -> (all F (v1_funct_2(F,A,B) & m2_relset_1(F,A,B) & v1_funct_1(F) -> ((all G (m1_subset_1(G,A) -> k8_funct_2(A,B,F,G) = k2_binop_1(B,B,B,C,k8_funct_2(A,B,D,G),k8_funct_2(A,B,E,G)))) -> k6_funcop_1(B,A,C,D,E) = F))))))))))))) # label(t49_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2373 $T # label(t40_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2374 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (k1_tarski(B) = k2_relat_1(A) -> k2_funcop_1(k1_relat_1(A),B) = A)))) # label(t15_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.98	2375 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C (r2_hidden(C,k1_relat_1(A)) -> k2_funcop_1(B,k1_funct_1(A,C)) = k5_relat_1(k2_funcop_1(B,C),A))))) # label(t23_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2376 (all A all B (A != k1_xboole_0 -> k1_tarski(B) = k2_relat_1(k2_funcop_1(A,B)))) # label(t14_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2377 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (all D all E (v1_funct_1(E) & v1_relat_1(E) -> (k7_relat_1(B,D) = k7_relat_1(A,D) -> k7_relat_1(k3_funcop_1(E,A,C),D) = k7_relat_1(k3_funcop_1(E,B,C),D)))))))))) # label(t29_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2378 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (all D all E (v1_relat_1(E) & v1_funct_1(E) -> (k7_relat_1(A,D) = k7_relat_1(B,D) -> k7_relat_1(k3_funcop_1(E,C,A),D) = k7_relat_1(k3_funcop_1(E,C,B),D)))))))))) # label(t30_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2379 (all A all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,B) -> m2_relset_1(k2_funcop_1(A,C),A,B) & v1_funct_2(k2_funcop_1(A,C),A,B) & v1_funct_1(k2_funcop_1(A,C)))))) # label(t58_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2380 (all A all B all C all D (-v1_xboole_0(A) & -v1_xboole_0(B) & -v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,A,k2_zfmisc_1(B,C)) & m1_relset_1(D,A,k2_zfmisc_1(B,C)) -> v1_funct_1(k10_funcop_1(A,B,C,D)) & v1_funct_2(k10_funcop_1(A,B,C,D),A,k2_zfmisc_1(C,B)) & m2_relset_1(k10_funcop_1(A,B,C,D),A,k2_zfmisc_1(C,B)))) # label(dt_k10_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2381 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & v1_funct_1(C) -> (all D (m2_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) -> (all E (m1_subset_1(E,B) -> (all F (m1_subset_1(F,B) -> (v2_binop_1(C,B) -> k7_funcop_1(B,A,C,k8_funcop_1(B,A,C,E,D),F) = k8_funcop_1(B,A,C,E,k7_funcop_1(B,A,C,D,F))))))))))))))) # label(t74_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2382 (all A all B (v1_relat_1(k2_funcop_1(A,B)) & v1_funct_1(k2_funcop_1(A,B)))) # label(fc1_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2383 (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 (v1_funct_1(D) & m2_relset_1(D,A,A) & v1_funct_2(D,A,A) -> k8_funct_2(A,A,k6_funcop_1(A,A,B,k6_partfun1(A),D),C) = k2_binop_1(A,A,A,B,C,k8_funct_2(A,A,D,C)))))))))) # label(t54_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2384 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C all D (r2_hidden(C,k1_relat_1(k4_funcop_1(B,A,D))) -> k1_funct_1(k4_funcop_1(B,A,D),C) = k1_binop_1(B,k1_funct_1(A,C),D))))))) # label(t35_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2385 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C k7_relat_1(k13_funct_3(A,B),C) = k13_funct_3(k7_relat_1(A,C),B)))))) # label(t10_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2386 (all A all B (v1_funcop_1(A) & v1_funct_1(A) & v1_relat_1(A) -> v1_funct_1(k1_funct_1(A,B)) & v1_relat_1(k1_funct_1(A,B)))) # label(fc7_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2387 $T # label(t5_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2388 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C all D (v1_funct_1(D) & v1_relat_1(D) -> (all E (k7_relat_1(B,C) = k7_relat_1(A,C) -> k7_relat_1(k5_funcop_1(D,E,B),C) = k7_relat_1(k5_funcop_1(D,E,A),C))))))))) # label(t43_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2389 (all A (v1_relat_1(A) -> (all B all C (k2_zfmisc_1(B,C) = A -> B = k1_xboole_0 | B = k1_relat_1(A) & k2_relat_1(A) = C | C = k1_xboole_0)))) # label(t1_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2390 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_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(C,k3_funcop_1(D,A,B)) = k3_funcop_1(D,k5_relat_1(C,A),k5_relat_1(C,B)))))))))) # label(t31_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2391 (all A all B all C (r2_hidden(B,A) -> k1_funct_1(k2_funcop_1(A,C),B) = C)) # label(t13_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2392 (all A all B all C all D (-v1_xboole_0(B) & -v1_xboole_0(C) & v1_funct_1(D) & m1_relset_1(D,A,k2_zfmisc_1(B,C)) & v1_funct_2(D,A,k2_zfmisc_1(B,C)) & -v1_xboole_0(A) -> k2_relat_1(D) = k9_funcop_1(A,B,C,D))) # label(redefinition_k9_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2393 (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 (m1_subset_1(C,A) -> k8_funct_2(A,A,k7_funcop_1(A,A,B,k6_partfun1(A),C),C) = k2_binop_1(A,A,A,B,C,C))))))) # label(t64_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2394 (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 (m1_subset_1(C,A) -> (all D (v1_funct_2(D,A,A) & m2_relset_1(D,A,A) & v1_funct_1(D) -> k2_binop_1(A,A,A,B,k8_funct_2(A,A,D,C),C) = k8_funct_2(A,A,k6_funcop_1(A,A,B,D,k6_partfun1(A)),C))))))))) # label(t55_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2395 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_2(C,k2_zfmisc_1(B,B),B) & m2_relset_1(C,k2_zfmisc_1(B,B),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(E) & v1_funct_2(E,B,B) & m2_relset_1(E,B,B) -> k6_funcop_1(B,A,C,k7_funct_2(A,B,B,D,E),D) = k7_funct_2(A,B,B,D,k6_funcop_1(B,B,C,E,k6_partfun1(B))))))))))))) # label(t52_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2396 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_2(C,k2_zfmisc_1(B,B),B) & m2_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_1(C) -> (all D (m2_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) -> (all E (v1_funct_1(E) & v1_funct_2(E,A,B) & m2_relset_1(E,A,B) -> (all F (v1_funct_1(F) & m2_relset_1(F,A,B) & v1_funct_2(F,A,B) -> (v2_binop_1(C,B) -> k6_funcop_1(B,A,C,D,k6_funcop_1(B,A,C,E,F)) = k6_funcop_1(B,A,C,k6_funcop_1(B,A,C,D,E),F)))))))))))))) # label(t76_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2397 (all A all B all C all D all E (m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(E) & v1_funct_2(E,B,A) & m1_relset_1(E,B,A) & m1_subset_1(D,A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & -v1_xboole_0(B) & -v1_xboole_0(A) -> k8_funcop_1(A,B,C,D,E) = k5_funcop_1(C,D,E))) # label(redefinition_k8_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2398 (all A (v1_funct_1(A) & v1_relat_1(A) -> k1_funcop_1(k1_funcop_1(A)) = A)) # label(involutiveness_k1_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2399 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (k1_xboole_0 = k1_relat_1(B) & k1_relat_1(A) = k1_xboole_0 -> B = A))))) # label(t4_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2400 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B ((all C (r2_hidden(C,k1_relat_1(A)) -> k1_funct_1(A,C) = B)) -> A = k2_funcop_1(k1_relat_1(A),B))))) # label(t17_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2401 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (k1_relat_1(B) = k1_relat_1(A) -> k1_relat_1(k5_relat_1(C,A)) = k1_relat_1(k5_relat_1(C,B))))))))) # label(t3_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2402 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (all D k5_relat_1(B,k5_funcop_1(C,D,A)) = k5_funcop_1(C,D,k5_relat_1(B,A))))))))) # label(t44_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2403 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C (v1_funct_1(C) & v1_relat_1(C) -> (all D k5_relat_1(k6_partfun1(B),k5_funcop_1(C,D,A)) = k5_funcop_1(C,D,k7_relat_1(A,B))))))) # label(t46_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2404 (all A all B (-v1_xboole_0(B) -> v1_funct_1(k2_funcop_1(A,B)) & v2_relat_1(k2_funcop_1(A,B)) & v1_relat_1(k2_funcop_1(A,B)))) # label(fc9_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2405 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C (v1_funct_1(C) & v1_relat_1(C) -> k5_funcop_1(A,B,C) = k5_relat_1(k13_funct_3(k2_funcop_1(k1_relat_1(C),B),C),A))))) # label(d5_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2406 (exists A (v1_funcop_1(A) & v1_funct_1(A) & v1_relat_1(A))) # label(rc1_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2407 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(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 (m2_relset_1(D,B,A) & v1_funct_2(D,B,A) & v1_funct_1(D) -> (all E (m1_subset_1(E,B) -> (v3_binop_1(C,A) -> k8_funct_2(B,A,k7_funcop_1(A,B,C,D,k8_funct_2(B,A,D,E)),E) = k8_funct_2(B,A,D,E)))))))))))) # label(t83_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2408 (all A all B all C all D all E (-v1_xboole_0(A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_relset_1(D,B,A) & m1_subset_1(E,A) & v1_funct_1(C) & -v1_xboole_0(B) -> k7_funcop_1(A,B,C,D,E) = k4_funcop_1(C,D,E))) # label(redefinition_k7_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2409 (all A all B (r1_tarski(k2_relat_1(k2_funcop_1(A,B)),k1_tarski(B)) & A = k1_relat_1(k2_funcop_1(A,B)))) # label(t19_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2410 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (all D k5_funcop_1(k5_relat_1(C,A),D,B) = k5_relat_1(k5_funcop_1(C,D,B),A)))))))) # label(t45_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2411 (all A (v1_xboole_0(k2_funcop_1(k1_xboole_0,A)) & v2_funct_1(k2_funcop_1(k1_xboole_0,A)) & v1_funct_1(k2_funcop_1(k1_xboole_0,A)) & v1_relat_1(k2_funcop_1(k1_xboole_0,A)))) # label(fc2_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2412 (all A (-v1_xboole_0(A) -> (all B (-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_1(D) & v1_funct_2(D,B,A) & m2_relset_1(D,B,A) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,B) -> k8_funct_2(B,A,k8_funcop_1(A,B,C,E,D),F) = k2_binop_1(A,A,A,C,E,k8_funct_2(B,A,D,F)))))))))))))) # label(t66_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2413 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m2_relset_1(C,k2_zfmisc_1(B,B),B) -> (all D (v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D) -> (all E (m1_subset_1(E,B) -> k7_funcop_1(B,A,C,D,E) = k7_funct_2(A,B,B,D,k7_funcop_1(B,B,C,k6_partfun1(B),E)))))))))))) # label(t63_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2414 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C k4_funcop_1(B,A,C) = k3_funcop_1(B,A,k2_funcop_1(k1_relat_1(A),C))))))) # label(t34_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2415 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & v1_funct_1(C) -> (all D (v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D) -> (v3_binop_1(C,B) -> k6_funcop_1(B,A,C,D,D) = D))))))))) # label(t81_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2416 $T # label(t12_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2417 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C all D (v1_relat_1(D) & v1_funct_1(D) -> (all E (k7_relat_1(B,C) = k7_relat_1(A,C) -> k7_relat_1(k4_funcop_1(D,B,E),C) = k7_relat_1(k4_funcop_1(D,A,E),C))))))))) # label(t36_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2418 (all A all B all C (r2_hidden(B,C) -> A = k10_relat_1(k2_funcop_1(A,B),C))) # label(t20_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2419 (all A (v1_relat_1(A) & v1_funct_1(A) -> v1_funct_1(k1_funcop_1(A)) & v1_relat_1(k1_funcop_1(A)))) # label(dt_k1_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2420 (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) -> k2_binop_1(A,A,A,B,C,C) = k8_funct_2(A,A,k6_funcop_1(A,A,B,k6_partfun1(A),k6_partfun1(A)),C))))))) # label(t56_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2421 (all A all B all C (r2_hidden(C,B) -> v1_funct_1(k2_funcop_1(A,C)) & v1_funct_2(k2_funcop_1(A,C),A,B) & m2_relset_1(k2_funcop_1(A,C),A,B))) # label(t57_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2422 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C all D (r2_hidden(C,k1_relat_1(k5_funcop_1(B,D,A))) -> k1_binop_1(B,D,k1_funct_1(A,C)) = k1_funct_1(k5_funcop_1(B,D,A),C))))))) # label(t42_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2423 $T # label(dt_k4_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2424 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m2_relset_1(C,k2_zfmisc_1(B,B),B) -> (all D (v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D) -> (all E (m1_subset_1(E,B) -> (all F (m1_subset_1(F,B) -> (v2_binop_1(C,B) -> k7_funcop_1(B,A,C,k7_funcop_1(B,A,C,D,E),F) = k7_funcop_1(B,A,C,D,k2_binop_1(B,B,B,C,E,F))))))))))))))) # label(t78_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2425 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(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 (v1_funct_1(D) & m2_relset_1(D,B,A) & v1_funct_2(D,B,A) -> (all E (m1_subset_1(E,B) -> (v3_binop_1(C,A) -> k8_funct_2(B,A,D,E) = k8_funct_2(B,A,k8_funcop_1(A,B,C,k8_funct_2(B,A,D,E),D),E)))))))))))) # label(t82_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2426 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (v1_funct_2(D,A,k2_zfmisc_1(B,C)) & m2_relset_1(D,A,k2_zfmisc_1(B,C)) & v1_funct_1(D) -> m2_relset_1(k2_relat_1(D),B,C))))))))) # label(t72_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2427 (all A all B all C all D (-v1_xboole_0(A) & -v1_xboole_0(B) & -v1_xboole_0(C) & v1_funct_1(D) & m1_relset_1(D,A,k2_zfmisc_1(B,C)) & v1_funct_2(D,A,k2_zfmisc_1(B,C)) -> k1_funcop_1(D) = k10_funcop_1(A,B,C,D))) # label(redefinition_k10_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2428 (all A k1_funcop_1(k12_funct_3(A)) = k12_funct_3(A)) # label(t9_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2429 (all A (v1_relat_1(A) & v1_funct_1(A) -> ((all B (r2_hidden(B,k1_relat_1(A)) -> v1_funct_1(k1_funct_1(A,B)) & v1_relat_1(k1_funct_1(A,B)))) <-> v1_funcop_1(A)))) # label(d6_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2430 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & v1_funct_1(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> (all E (m1_subset_1(E,B) -> m2_relset_1(k5_funcop_1(C,E,D),A,B) & v1_funct_2(k5_funcop_1(C,E,D),A,B) & v1_funct_1(k5_funcop_1(C,E,D)))))))))))) # label(t65_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2431 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_2(C,k2_zfmisc_1(B,B),B) & m2_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_1(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> (all E (v1_funct_2(E,B,B) & m2_relset_1(E,B,B) & v1_funct_1(E) -> k7_funct_2(A,B,B,D,k6_funcop_1(B,B,C,k6_partfun1(B),E)) = k6_funcop_1(B,A,C,D,k7_funct_2(A,B,B,D,E)))))))))))) # label(t51_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.36/14.99	2432 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & v1_funct_1(C) -> (all D (m2_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) -> (all E (v1_funct_1(E) & v1_funct_2(E,A,B) & m2_relset_1(E,A,B) -> v1_funct_1(k3_funcop_1(C,D,E)) & m2_relset_1(k3_funcop_1(C,D,E),A,B) & v1_funct_2(k3_funcop_1(C,D,E),A,B))))))))))) # label(t47_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2433 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B k7_relat_1(k1_funcop_1(A),B) = k1_funcop_1(k7_relat_1(A,B))))) # label(t7_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2434 $T # label(dt_k3_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2435 $T # label(dt_k2_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2436 (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,A,k2_zfmisc_1(B,C)) & v1_funct_2(D,A,k2_zfmisc_1(B,C)) -> k4_relat_1(k9_funcop_1(A,B,C,D)) = k9_funcop_1(A,C,B,k10_funcop_1(A,B,C,D)))))))))) # label(t73_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2437 $T # label(t33_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2438 (all A all B all C all D all E (v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(D) & v1_funct_2(D,B,A) & v1_funct_2(E,B,A) & m1_relset_1(E,B,A) & v1_funct_1(E) & m1_relset_1(D,B,A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & -v1_xboole_0(B) & -v1_xboole_0(A) -> v1_funct_1(k6_funcop_1(A,B,C,D,E)) & m2_relset_1(k6_funcop_1(A,B,C,D,E),B,A) & v1_funct_2(k6_funcop_1(A,B,C,D,E),B,A))) # label(dt_k6_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2439 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> k13_funct_3(A,B) = k1_funcop_1(k13_funct_3(B,A)))))) # label(t6_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2440 $T # label(t50_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2441 (all A all B all C (v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(C) & v1_funct_1(C) -> v1_relat_1(k5_funcop_1(A,B,C)) & v1_funct_1(k5_funcop_1(A,B,C)))) # label(fc6_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2442 (all A all B all C k7_relat_1(k2_funcop_1(A,B),C) = k2_funcop_1(k3_xboole_0(A,C),B)) # label(t18_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2443 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C -(B != k1_xboole_0 & r2_hidden(C,k1_relat_1(A)) & k1_relat_1(k5_relat_1(k2_funcop_1(B,C),A)) = k1_xboole_0)))) # label(t24_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2444 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) -> (all D (m2_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) -> (all E (m2_relset_1(E,A,B) & v1_funct_2(E,A,B) & v1_funct_1(E) -> (v1_binop_1(C,B) -> k6_funcop_1(B,A,C,D,E) = k6_funcop_1(B,A,C,E,D)))))))))))) # label(t80_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2445 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_2(C,k2_zfmisc_1(B,B),B) & m2_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> k7_funct_2(A,B,B,D,k6_funcop_1(B,B,C,k6_partfun1(B),k6_partfun1(B))) = k6_funcop_1(B,A,C,D,D))))))))) # label(t53_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2446 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> k3_funcop_1(A,B,C) = k5_relat_1(k13_funct_3(B,C),A))))))) # label(d3_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2447 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C k13_funct_3(A,k7_relat_1(B,C)) = k7_relat_1(k13_funct_3(A,B),C)))))) # label(t11_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2448 (all A (v1_relat_1(A) & v1_funct_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(k3_funcop_1(C,A,B))) -> k1_binop_1(C,k1_funct_1(A,D),k1_funct_1(B,D)) = k1_funct_1(k3_funcop_1(C,A,B),D))))))))) # label(t28_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2449 (all A all B all C k1_funcop_1(k2_funcop_1(A,k4_tarski(B,C))) = k2_funcop_1(A,k4_tarski(C,B))) # label(t26_funcop_1) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2450 (all A all B (v1_relat_1(B) & v1_funct_1(B) & v1_funct_1(A) & v1_relat_1(A) -> v1_funct_1(k1_funct_4(A,B)) & v1_relat_1(k1_funct_4(A,B)))) # label(dt_k1_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2451 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_partfun1(A,k1_funct_4(B,C)) -> r1_partfun1(A,C)))))))) # label(t28_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2452 (all A all B all C all D all E (-v1_xboole_0(E) -> (all F (-v1_xboole_0(F) -> (all G (v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(A,B),E) & m2_relset_1(G,k2_zfmisc_1(A,B),E) -> (all H (m2_relset_1(H,k2_zfmisc_1(C,D),F) & v1_funct_2(H,k2_zfmisc_1(C,D),F) & v1_funct_1(H) -> m2_relset_1(k3_funct_4(G,H),k2_zfmisc_1(k2_zfmisc_1(A,C),k2_zfmisc_1(B,D)),k2_zfmisc_1(E,F)) & v1_funct_2(k3_funct_4(G,H),k2_zfmisc_1(k2_zfmisc_1(A,C),k2_zfmisc_1(B,D)),k2_zfmisc_1(E,F)) & v1_funct_1(k3_funct_4(G,H)))))))))) # label(t64_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2453 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (r1_tarski(A,k1_funct_4(A,B)) <-> r1_partfun1(A,B)))))) # label(t29_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2454 (all A all B (v1_funct_1(A) & v1_funct_1(B) & v1_relat_1(B) & v1_relat_1(A) -> A = k1_funct_4(A,A))) # label(idempotence_k1_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2455 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (r1_tarski(A,B) -> B = k1_funct_4(B,A) & k1_funct_4(A,B) = B))))) # label(t79_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2456 (all A all 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) -> m2_relset_1(k2_funct_4(D),k2_zfmisc_1(B,A),C) & v1_funct_2(k2_funct_4(D),k2_zfmisc_1(B,A),C) & v1_funct_1(k2_funct_4(D)))))) # label(t51_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2457 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r2_hidden(A,k1_relat_1(B)) & r1_partfun1(B,C) -> k1_funct_1(k1_funct_4(B,C),A) = k1_funct_1(B,A)))))) # label(t16_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2458 (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) -> (C != k1_xboole_0 -> k2_funct_4(k2_funct_4(D)) = D))) # label(t55_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2459 (all A all B (r1_tarski(A,B) <-> r1_tarski(k6_partfun1(A),k6_partfun1(B)))) # label(t4_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2460 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (r1_xboole_0(C,k1_relat_1(B)) -> k7_relat_1(k1_funct_4(A,B),C) = k7_relat_1(A,C))))))) # label(t76_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2461 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (k2_zfmisc_1(A,B) = k1_relat_1(C) -> k2_zfmisc_1(B,A) = k1_relat_1(k2_funct_4(C))))) # label(t47_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2462 (all A all B all C all D (A != B -> k1_funct_1(k4_funct_4(A,B,C,D),B) = D & k1_funct_1(k4_funct_4(A,B,C,D),A) = C)) # label(t66_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2463 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_partfun1(A,B) <-> k1_funct_4(B,A) = k1_funct_4(A,B)))))) # label(t35_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2464 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (r1_tarski(C,D) -> r1_tarski(k7_relat_1(k8_relat_1(A,C),B),k7_relat_1(k8_relat_1(A,D),B))))))) # label(t10_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2465 (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) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (r1_tarski(k2_relat_1(C),k1_relat_1(A)) & r1_tarski(k2_relat_1(D),k1_relat_1(B)) & r1_partfun1(A,B) -> k5_relat_1(k1_funct_4(C,D),k1_funct_4(A,B)) = k1_funct_4(k5_relat_1(C,A),k5_relat_1(D,B))))))))))) # label(t73_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2466 (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(k1_funct_4(A,B))) & r1_tarski(k1_relat_1(B),k1_relat_1(k1_funct_4(A,B))))))) # label(t11_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2467 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (r2_hidden(A,k1_relat_1(B)) -> r1_tarski(k2_funcop_1(k1_tarski(A),k1_funct_1(B,A)),B)))) # label(t8_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2468 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (-r2_hidden(A,k1_relat_1(B)) -> k1_funct_1(C,A) = k1_funct_1(k1_funct_4(C,B),A)))))) # label(t12_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2469 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(k1_relat_1(C),k2_zfmisc_1(A,B)) -> r1_tarski(k1_relat_1(k2_funct_4(C)),k2_zfmisc_1(B,A))))) # label(t46_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2470 (all A all B all C all D all E all F all G (v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(A,B),C) & m2_relset_1(G,k2_zfmisc_1(A,B),C) -> (all H (v1_funct_2(H,k2_zfmisc_1(D,E),F) & m2_relset_1(H,k2_zfmisc_1(D,E),F) & v1_funct_1(H) -> -(C != k1_xboole_0 & F != k1_xboole_0 & -(v1_funct_1(k3_funct_4(G,H)) & m2_relset_1(k3_funct_4(G,H),k2_zfmisc_1(k2_zfmisc_1(A,D),k2_zfmisc_1(B,E)),k2_zfmisc_1(C,F)) & v1_funct_2(k3_funct_4(G,H),k2_zfmisc_1(k2_zfmisc_1(A,D),k2_zfmisc_1(B,E)),k2_zfmisc_1(C,F)))))))) # label(t63_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2471 (all A all B all C all D all E (-v1_xboole_0(A) & m1_subset_1(D,A) & m1_subset_1(E,A) -> v1_funct_1(k5_funct_4(A,B,C,D,E)) & v1_funct_2(k5_funct_4(A,B,C,D,E),k2_tarski(B,C),A) & m2_relset_1(k5_funct_4(A,B,C,D,E),k2_tarski(B,C),A))) # label(dt_k5_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2472 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> r1_tarski(A,k1_funct_4(B,A)))))) # label(t26_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2473 $T # label(dt_k4_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2474 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B A = k1_funct_4(A,k7_relat_1(A,B))))) # label(t80_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2475 (all A (v1_relat_1(A) & v1_funct_1(A) -> (exists B exists C r1_tarski(k1_relat_1(k2_funct_4(A)),k2_zfmisc_1(B,C))))) # label(t45_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2476 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(k4_tarski(A,B),k1_relat_1(k2_funct_4(C))) -> k1_funct_1(C,k4_tarski(B,A)) = k1_funct_1(k2_funct_4(C),k4_tarski(A,B))))) # label(t44_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2477 (all A all B all C all D k4_funct_4(A,B,C,D) = k1_funct_4(k2_funcop_1(k1_tarski(A),C),k2_funcop_1(k1_tarski(B),D))) # label(d4_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2478 (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) -> k1_funct_4(k1_funct_4(A,B),C) = k1_funct_4(A,k1_funct_4(B,C)))))))) # label(t15_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2479 (all A all B all C all D (v1_funct_1(k4_funct_4(A,B,C,D)) & v1_relat_1(k4_funct_4(A,B,C,D)))) # label(fc1_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2480 (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(k1_funct_4(B,C))) <-> r2_hidden(A,k1_relat_1(B)) | r2_hidden(A,k1_relat_1(C))))))) # label(t13_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2481 (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_partfun1(D,A,B) -> k1_funct_4(C,D) = D))))) # label(t37_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2482 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (k2_xboole_0(A,B) = k1_funct_4(A,B) <-> r1_partfun1(A,B)))))) # label(t31_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2483 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(k1_relat_1(C),k2_zfmisc_1(A,B)) -> k2_relat_1(k2_funct_4(C)) = k2_relat_1(C)))) # label(t48_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2484 (all A all B all C all D (A != C -> k4_funct_4(A,C,B,D) = k2_tarski(k4_tarski(A,B),k4_tarski(C,D)))) # label(t71_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2485 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_xboole_0(k1_relat_1(A),k1_relat_1(B)) -> k7_relat_1(k1_funct_4(A,B),k1_relat_1(A)) = A))))) # label(t34_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2486 (all A (v1_funct_1(A) & v1_relat_1(A) -> r1_tarski(k2_funct_4(k2_funct_4(A)),A))) # label(t52_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2487 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> r1_tarski(k2_relat_1(A),k2_relat_1(k1_funct_4(B,A))))))) # label(t19_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2488 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> ((all D all E all F all G (r2_hidden(k4_tarski(D,E),k1_relat_1(A)) & r2_hidden(k4_tarski(F,G),k1_relat_1(B)) -> k4_tarski(k1_funct_1(A,k4_tarski(D,E)),k1_funct_1(B,k4_tarski(F,G))) = k1_funct_1(C,k4_tarski(k4_tarski(D,F),k4_tarski(E,G))))) & (all D (r2_hidden(D,k1_relat_1(C)) <-> (exists E exists F exists G exists H (k4_tarski(k4_tarski(E,G),k4_tarski(F,H)) = D & r2_hidden(k4_tarski(G,H),k1_relat_1(B)) & r2_hidden(k4_tarski(E,F),k1_relat_1(A)))))) <-> C = k3_funct_4(A,B)))))))) # label(d3_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2489 (all A (v1_funct_1(A) & v1_relat_1(A) -> r1_tarski(k2_relat_1(k2_funct_4(A)),k2_relat_1(A)))) # label(t42_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2490 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r2_hidden(A,k1_relat_1(B)) -> k1_funct_1(k1_funct_4(C,B),A) = k1_funct_1(B,A)))))) # label(t14_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2491 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> r1_tarski(k2_relat_1(k3_funct_4(A,B)),k2_zfmisc_1(k2_relat_1(A),k2_relat_1(B))))))) # label(t59_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2492 (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) -> (C != k1_xboole_0 -> v1_funct_1(k2_funct_4(D)) & v1_funct_2(k2_funct_4(D),k2_zfmisc_1(B,A),C) & m2_relset_1(k2_funct_4(D),k2_zfmisc_1(B,A),C)))) # label(t50_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2493 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> B = k7_relat_1(k1_funct_4(A,B),k1_relat_1(B)))))) # label(t24_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2494 (all A all B all C all D all E (-v1_xboole_0(A) & m1_subset_1(E,A) & m1_subset_1(D,A) -> k4_funct_4(B,C,D,E) = k5_funct_4(A,B,C,D,E))) # label(redefinition_k5_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2495 (all A all B all C all D all E all F (k4_funct_4(A,B,E,F) = k4_funct_4(A,B,C,D) -> E = C & F = D | B = A)) # label(t72_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2496 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (r1_xboole_0(k1_relat_1(A),C) -> k7_relat_1(k1_funct_4(A,B),C) = k7_relat_1(B,C))))))) # label(t77_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2497 (all A (v1_relat_1(A) & v1_funct_1(A) -> v1_relat_1(k2_funct_4(A)) & v1_funct_1(k2_funct_4(A)))) # label(dt_k2_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2498 (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_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> k1_funct_4(C,D) = D)))))) # label(t40_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2499 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (k2_funct_4(A) = B <-> (all C all D (r2_hidden(k4_tarski(C,D),k1_relat_1(A)) -> k1_funct_1(A,k4_tarski(C,D)) = k1_funct_1(B,k4_tarski(D,C)))) & (all C (r2_hidden(C,k1_relat_1(B)) <-> (exists D exists E (r2_hidden(k4_tarski(D,E),k1_relat_1(A)) & k4_tarski(E,D) = C))))))))) # label(d2_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2500 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> k5_relat_1(B,A) = k5_relat_1(B,k7_relat_1(A,k2_relat_1(B))))))) # label(t2_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2501 (all A all B all C all D all E (v1_funct_1(E) & v1_relat_1(E) -> (k1_relat_1(E) = k2_tarski(A,B) & D = k1_funct_1(E,B) & C = k1_funct_1(E,A) -> k4_funct_4(A,B,C,D) = E))) # label(t69_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2502 (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_partfun1(A,k1_funct_4(B,C)) -> r1_partfun1(k7_relat_1(A,k4_xboole_0(k1_relat_1(A),k1_relat_1(C))),B)))))))) # label(t27_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2503 (all A -((all B all C -r1_tarski(A,k2_zfmisc_1(B,C))) & (all B -((all C all D k4_tarski(C,D) != B) & r2_hidden(B,A))))) # label(t1_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2504 (all A all B all C all D all E all F all G (v1_funct_1(G) & m2_relset_1(G,k2_zfmisc_1(A,B),C) -> (all H (m2_relset_1(H,k2_zfmisc_1(D,E),F) & v1_funct_1(H) -> v1_funct_1(k3_funct_4(G,H)) & m2_relset_1(k3_funct_4(G,H),k2_zfmisc_1(k2_zfmisc_1(A,D),k2_zfmisc_1(B,E)),k2_zfmisc_1(C,F)))))) # label(t62_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2505 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(k4_tarski(B,A),k1_relat_1(k2_funct_4(C))) <-> r2_hidden(k4_tarski(A,B),k1_relat_1(C))))) # label(t43_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2506 (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)) -> k1_funct_4(A,B) = k2_xboole_0(A,B)))))) # label(t32_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2507 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (r1_xboole_0(k1_relat_1(A),k1_relat_1(B)) -> r1_tarski(A,k1_funct_4(A,B))))))) # label(t33_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2508 (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) -> (k1_relat_1(C) = k1_relat_1(B) -> k1_funct_4(A,C) = k1_funct_4(k1_funct_4(A,B),C)))))))) # label(t78_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2509 (all A all B all C all D (r1_tarski(k2_funcop_1(A,B),k2_funcop_1(C,D)) -> r1_tarski(A,C))) # label(t6_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2510 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> r1_tarski(k7_relat_1(k1_funct_4(A,B),k4_xboole_0(k1_relat_1(A),k1_relat_1(B))),A))))) # label(t25_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2511 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_tarski(k1_relat_1(A),k1_relat_1(B)) -> B = k1_funct_4(A,B)))))) # label(t20_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2512 (all A all B all C all D (v1_funct_1(D) & m2_relset_1(D,k2_zfmisc_1(A,B),C) -> k2_funct_4(k2_funct_4(D)) = D)) # label(t54_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2513 (all A all B (v1_relat_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_funct_1(A) -> v1_funct_1(k3_funct_4(A,B)) & v1_relat_1(k3_funct_4(A,B)))) # label(dt_k3_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2514 (all A all B all C all D (r1_tarski(k2_funcop_1(A,B),k2_funcop_1(C,D)) -> k1_xboole_0 = A | B = D)) # label(t7_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2515 (all A all B all C (r1_tarski(A,B) -> r1_tarski(k2_funcop_1(A,C),k2_funcop_1(B,C)))) # label(t5_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2516 (all A all B k1_tarski(k4_tarski(A,B)) = k2_funcop_1(k1_tarski(A),B)) # label(t70_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2517 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C all D (r1_tarski(k1_relat_1(A),C) & r1_xboole_0(C,D) & r1_tarski(k1_relat_1(B),D) -> k7_relat_1(k1_funct_4(A,B),D) = B & A = k7_relat_1(k1_funct_4(A,B),C))))))) # label(t81_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2518 (all A all B all C all D (k1_relat_1(k4_funct_4(A,B,C,D)) = k2_tarski(A,B) & r1_tarski(k2_relat_1(k4_funct_4(A,B,C,D)),k2_tarski(C,D)))) # label(t65_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2519 (all A (v1_funct_1(A) & v1_relat_1(A) -> k1_funct_4(A,k1_xboole_0) = A)) # label(t22_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2520 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_xboole_0(k1_relat_1(A),k1_relat_1(B)) -> k1_funct_4(A,B) = k1_funct_4(B,A)))))) # label(t36_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2521 (all A all B all C k4_funct_4(A,B,C,C) = k2_funcop_1(k2_tarski(A,B),C)) # label(t68_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2522 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C k1_funct_4(k7_relat_1(A,B),k7_relat_1(A,C)) = k7_relat_1(A,k2_xboole_0(B,C))))) # label(t83_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2523 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (r1_xboole_0(k1_relat_1(B),C) & r1_tarski(k1_relat_1(A),C) -> A = k7_relat_1(k1_funct_4(A,B),C))))))) # label(t82_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2524 (all A (v1_relat_1(A) & v1_funct_1(A) -> k1_funct_4(k1_xboole_0,A) = A)) # label(t21_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2525 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(k1_relat_1(C),k2_zfmisc_1(A,B)) -> k2_funct_4(k2_funct_4(C)) = C))) # label(t53_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2526 (all A all B k1_funct_4(k6_partfun1(A),k6_partfun1(B)) = k6_partfun1(k2_xboole_0(A,B))) # label(t23_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2527 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> r1_tarski(k7_relat_1(k8_relat_1(A,C),B),C))) # label(t9_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2528 (all A all B all C (-v1_xboole_0(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m2_relset_1(D,k2_zfmisc_1(A,B),C) -> k2_funct_4(k2_funct_4(D)) = D)))) # label(t56_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2529 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C k7_relat_1(k1_funct_4(A,B),C) = k1_funct_4(k7_relat_1(A,C),k7_relat_1(B,C))))))) # label(t75_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2530 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> r1_tarski(k1_funct_4(A,B),k2_xboole_0(A,B)))))) # label(t30_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2531 (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,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) -> ((B = k1_xboole_0 -> A = k1_xboole_0) -> k1_funct_4(C,D) = D))))) # label(t38_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2532 (all A all B (v1_funct_2(B,A,A) & m2_relset_1(B,A,A) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,A,A) & m2_relset_1(C,A,A) -> k1_funct_4(B,C) = C)))) # label(t39_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/14.99	2533 (all A all B all C all D all E (v1_relat_1(E) & v1_funct_1(E) -> (all F (v1_funct_1(F) & v1_relat_1(F) -> (r1_tarski(k1_relat_1(E),k2_zfmisc_1(A,B)) & r1_tarski(k1_relat_1(F),k2_zfmisc_1(C,D)) -> r1_tarski(k1_relat_1(k3_funct_4(E,F)),k2_zfmisc_1(k2_zfmisc_1(A,C),k2_zfmisc_1(B,D)))))))) # label(t60_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/15.00	2534 (all A all B all C all D (m2_relset_1(D,k2_zfmisc_1(A,B),C) & v1_funct_1(D) -> m2_relset_1(k2_funct_4(D),k2_zfmisc_1(B,A),C) & v1_funct_1(k2_funct_4(D)))) # label(t49_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/15.00	2535 (all A all B all C all D all E (v1_funct_1(E) & v1_relat_1(E) -> (all F (v1_funct_1(F) & v1_relat_1(F) -> (r2_hidden(k4_tarski(k4_tarski(A,B),k4_tarski(C,D)),k1_relat_1(k3_funct_4(E,F))) -> k4_tarski(k1_funct_1(E,k4_tarski(A,C)),k1_funct_1(F,k4_tarski(B,D))) = k1_funct_1(k3_funct_4(E,F),k4_tarski(k4_tarski(A,B),k4_tarski(C,D)))))))) # label(t58_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/15.00	2536 (all A all B all C all D all E (v1_relat_1(E) & v1_funct_1(E) -> (all F (v1_relat_1(F) & v1_funct_1(F) -> (k1_relat_1(F) = k2_zfmisc_1(C,D) & k1_relat_1(E) = k2_zfmisc_1(A,B) -> k1_relat_1(k3_funct_4(E,F)) = k2_zfmisc_1(k2_zfmisc_1(A,C),k2_zfmisc_1(B,D))))))) # label(t61_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/15.00	2537 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (C = k1_funct_4(A,B) <-> k2_xboole_0(k1_relat_1(A),k1_relat_1(B)) = k1_relat_1(C) & (all D (r2_hidden(D,k2_xboole_0(k1_relat_1(A),k1_relat_1(B))) -> (r2_hidden(D,k1_relat_1(B)) -> k1_funct_1(B,D) = k1_funct_1(C,D)) & (-r2_hidden(D,k1_relat_1(B)) -> k1_funct_1(A,D) = k1_funct_1(C,D))))))))))) # label(d1_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/15.00	2538 (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(k1_funct_4(A,B)),k2_xboole_0(k2_relat_1(A),k2_relat_1(B))))))) # label(t18_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/15.00	2539 (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) -> m2_relset_1(k1_funct_4(C,D),A,B) & v1_funct_1(k1_funct_4(C,D)))))) # label(t41_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/15.00	2540 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r2_hidden(A,k1_relat_1(B)) & r1_xboole_0(k1_relat_1(B),k1_relat_1(C)) -> k1_funct_1(B,A) = k1_funct_1(k1_funct_4(B,C),A)))))) # label(t17_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/15.00	2541 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C (r1_tarski(k1_relat_1(A),k2_xboole_0(B,C)) -> k1_funct_4(k7_relat_1(A,B),k7_relat_1(A,C)) = A)))) # label(t74_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/15.00	2542 (all A all B all C all D (B != A -> k2_tarski(C,D) = k2_relat_1(k4_funct_4(A,B,C,D)))) # label(t67_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/15.00	2543 (all A all B all C all D all E (v1_funct_1(E) & v1_relat_1(E) -> (all F (v1_funct_1(F) & v1_relat_1(F) -> (r2_hidden(k4_tarski(A,C),k1_relat_1(E)) & r2_hidden(k4_tarski(B,D),k1_relat_1(F)) <-> r2_hidden(k4_tarski(k4_tarski(A,B),k4_tarski(C,D)),k1_relat_1(k3_funct_4(E,F)))))))) # label(t57_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/15.00	2544 $T # label(t3_funct_4) # label(axiom) # label(non_clause).  [assumption].
15.47/15.00	2545 (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].
15.47/15.00	2546 (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].
15.47/15.00	2547 (all A r1_tarski(k3_ordinal2(A),A)) # label(t13_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.50/15.08	2548 $T # label(t38_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.50/15.08	2549 (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].
15.50/15.08	2550 (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].
15.50/15.08	2551 (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].
15.50/15.08	2552 (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].
15.50/15.08	2553 (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].
15.50/15.08	2554 (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].
15.50/15.08	2555 (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].
15.50/15.08	2556 $T # label(t40_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.50/15.08	2557 $T # label(t37_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.50/15.08	2558 (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].
15.50/15.09	2559 (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].
15.50/15.09	2560 (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].
15.50/15.09	2561 (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].
15.50/15.09	2562 (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].
15.50/15.09	2563 (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].
15.50/15.09	2564 (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].
15.50/15.09	2565 (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].
15.50/15.09	2566 (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].
15.50/15.09	2567 $T # label(dt_k2_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.50/15.09	2568 (all A r1_tarski(k3_ordinal2(A),k2_ordinal2(A))) # label(t15_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.50/15.09	2569 (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].
15.50/15.09	2570 $T # label(t39_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.50/15.09	2571 (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].
15.50/15.09	2572 (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].
15.50/15.09	2573 (all A (v3_ordinal1(A) -> r1_ordinal1(k3_tarski(A),A))) # label(t5_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.50/15.09	2574 (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].
15.50/15.09	2575 (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].
15.50/15.09	2576 (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].
15.50/15.09	2577 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].
15.50/15.09	2578 (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].
15.50/15.09	2579 (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].
15.50/15.09	2580 (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].
15.50/15.09	2581 (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].
15.50/15.09	2582 (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].
15.50/15.09	2583 (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].
15.50/15.09	2584 (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].
15.50/15.09	2585 (all A (v3_ordinal1(A) -> k3_tarski(k1_ordinal1(A)) = A)) # label(t2_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.50/15.09	2586 $T # label(t20_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.50/15.09	2587 (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].
15.50/15.09	2588 (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].
15.50/15.09	2589 $T # label(t12_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.50/15.09	2590 (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].
15.50/15.09	2591 (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].
15.50/15.09	2592 $T # label(t33_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.50/15.09	2593 (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].
15.50/15.09	2594 (all A (v3_ordinal1(A) -> k1_ordinal1(A) = k7_ordinal2(k1_tarski(A)))) # label(t31_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.50/15.09	2595 (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].
15.50/15.09	2596 (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].
15.50/15.09	2597 (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].
15.50/15.09	2598 (all A (v3_ordinal1(A) -> k16_ordinal2(A,k1_xboole_0) = k4_ordinal2)) # label(t60_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.50/15.09	2599 (all A (v3_ordinal1(A) -> k2_ordinal2(A) = A)) # label(t10_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.50/15.09	2600 $T # label(t6_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.50/15.09	2601 (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].
15.50/15.09	2602 (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].
15.50/15.09	2603 (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].
15.50/15.09	2604 (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].
15.50/15.09	2605 (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].
15.50/15.09	2606 (all A (v3_ordinal1(A) -> A = k14_ordinal2(A,k1_xboole_0))) # label(t44_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.50/15.09	2607 (all A (v3_ordinal1(A) -> k15_ordinal2(A,k1_xboole_0) = k1_xboole_0)) # label(t55_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.50/15.09	2608 $T # label(t8_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.50/15.09	2609 (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].
15.50/15.09	2610 (all A (v3_ordinal1(A) -> r1_tarski(k1_ordinal1(A),k1_zfmisc_1(A)))) # label(t3_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.50/15.09	2611 (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].
15.66/15.25	2612 (all A (v3_ordinal1(A) -> k1_xboole_0 = k15_ordinal2(k1_xboole_0,A))) # label(t52_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.66/15.25	2613 (all A (v3_ordinal1(A) -> (all B (m1_ordinal1(B,A) -> v1_ordinal2(B))))) # label(cc1_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.66/15.25	2614 (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].
15.66/15.25	2615 (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].
15.66/15.25	2616 (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].
15.66/15.25	2617 (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].
15.66/15.25	2618 (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].
15.66/15.25	2619 (all A (v3_ordinal1(A) -> k14_ordinal2(A,k4_ordinal2) = k1_ordinal1(A))) # label(t48_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.66/15.25	2620 (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].
15.66/15.25	2621 (all A r1_tarski(k2_ordinal2(A),A)) # label(t9_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.66/15.25	2622 (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].
15.66/15.25	2623 (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].
15.66/15.25	2624 (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].
15.66/15.27	2625 (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].
15.66/15.27	2626 (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].
15.66/15.27	2627 (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].
15.66/15.27	2628 (all A r1_ordinal1(k6_ordinal2(A),k7_ordinal2(A))) # label(t32_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.66/15.27	2629 (exists A (v2_ordinal1(A) & v4_ordinal1(A) & v3_ordinal1(A) & v1_ordinal1(A))) # label(rc1_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.66/15.27	2630 (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].
15.66/15.27	2631 $T # label(t43_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.66/15.27	2632 (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].
15.66/15.27	2633 (all A v3_ordinal1(k7_ordinal2(A))) # label(dt_k7_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.66/15.27	2634 (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].
15.66/15.27	2635 (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].
15.66/15.27	2636 (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].
15.80/15.31	2637 (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].
15.80/15.31	2638 $T # label(t41_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.80/15.31	2639 (all A k6_ordinal2(A) = k1_setfam_1(k2_ordinal2(A))) # label(d6_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.80/15.31	2640 $T # label(t42_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.80/15.31	2641 (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].
15.80/15.31	2642 (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].
15.80/15.31	2643 (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].
15.80/15.31	2644 (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].
15.80/15.31	2645 $T # label(t21_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.80/15.31	2646 $T # label(t64_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.80/15.31	2647 (all A v3_ordinal1(k6_ordinal2(A))) # label(dt_k6_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.80/15.31	2648 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].
15.80/15.31	2649 (all A (v3_ordinal1(A) -> k7_ordinal2(A) = A)) # label(t26_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.80/15.31	2650 $T # label(dt_k3_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.80/15.31	2651 (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].
15.80/15.31	2652 (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].
15.80/15.31	2653 (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].
15.80/15.31	2654 (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].
15.80/15.31	2655 (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].
15.80/15.31	2656 $T # label(dt_k5_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.80/15.31	2657 (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].
15.80/15.31	2658 (all A (r2_hidden(A,k5_ordinal2) <-> v4_ordinal2(A))) # label(d21_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.80/15.31	2659 (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].
15.80/15.31	2660 (all A (v3_ordinal1(A) -> A = k14_ordinal2(k1_xboole_0,A))) # label(t47_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.80/15.31	2661 $T # label(dt_k1_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.80/15.31	2662 (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].
15.80/15.31	2663 (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].
15.80/15.32	2664 (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].
15.80/15.32	2665 $T # label(t36_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2666 (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].
15.80/15.32	2667 $T # label(t18_ordinal2) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2668 (all A all B all C (v1_finset_1(A) & v1_finset_1(C) & v1_finset_1(B) -> v1_finset_1(k3_zfmisc_1(A,B,C)))) # label(t20_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2669 $T # label(t1_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2670 $T # label(t2_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2671 (all A all B all C all D v1_finset_1(k2_enumset1(A,B,C,D))) # label(fc4_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2672 $T # label(t4_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2673 (all A -(v1_finset_1(A) & k1_xboole_0 != A & (all B -((all C (r2_hidden(C,A) -> r1_tarski(B,C))) & r2_hidden(B,A))) & v6_ordinal1(A))) # label(t30_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2674 (all A all B all C all D all E all F all G v1_finset_1(k5_enumset1(A,B,C,D,E,F,G))) # label(fc7_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2675 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (v1_finset_1(A) -> v1_finset_1(k9_relat_1(B,A))))) # label(t17_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2676 (all A all B (v1_finset_1(B) & v1_finset_1(A) -> v1_finset_1(k2_xboole_0(A,B)))) # label(fc9_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2677 (all A all B all C (v1_finset_1(A) & v1_finset_1(B) & v1_finset_1(C) -> v1_finset_1(k3_zfmisc_1(A,B,C)))) # label(fc15_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2678 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v1_finset_1(k1_relat_1(A)) <-> v1_finset_1(A)))) # label(t29_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2679 (all A all B (v1_finset_1(A) & v1_finset_1(B) -> v1_finset_1(k5_xboole_0(A,B)))) # label(t28_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2680 (all A -(v1_finset_1(A) & v6_ordinal1(A) & (all B -((all C (r2_hidden(C,A) -> r1_tarski(C,B))) & r2_hidden(B,A))) & k1_xboole_0 != A)) # label(t31_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2681 (all A all B (v1_finset_1(k2_zfmisc_1(A,B)) -> v1_finset_1(B) | A = k1_xboole_0)) # label(t23_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2682 (all A (v1_finset_1(k1_zfmisc_1(A)) <-> v1_finset_1(A))) # label(t24_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2683 $T # label(t9_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2684 (all A all B (v1_finset_1(B) & r1_tarski(A,B) -> v1_finset_1(A))) # label(t13_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2685 (all A all B all C all D (v1_finset_1(A) & v1_finset_1(B) & v1_finset_1(C) & v1_finset_1(D) -> v1_finset_1(k4_zfmisc_1(A,B,C,D)))) # label(fc16_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2686 (all A ((exists B (v1_relat_1(B) & v1_funct_1(B) & k2_relat_1(B) = A & r2_hidden(k1_relat_1(B),k5_ordinal2))) <-> v1_finset_1(A))) # label(d1_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2687 (all A all B all C v1_finset_1(k1_enumset1(A,B,C))) # label(fc3_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2688 (all A all B (v1_finset_1(A) -> v1_finset_1(k3_xboole_0(A,B)))) # label(fc11_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2689 (all A all B (v1_finset_1(A) -> v1_finset_1(k4_xboole_0(A,B)))) # label(t16_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2690 (all A all B all C all D all E all F v1_finset_1(k4_enumset1(A,B,C,D,E,F))) # label(fc6_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2691 (all A all B (v1_finset_1(A) -> v1_finset_1(k3_xboole_0(A,B)))) # label(t15_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2692 $T # label(t12_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2693 $T # label(t10_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2694 (exists A (-v1_xboole_0(A) & v1_finset_1(A))) # label(rc1_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2695 (all A exists B (v1_xboole_0(B) & v1_relat_1(B) & v1_funct_1(B) & v2_funct_1(B) & v2_ordinal1(B) & v4_ordinal2(B) & v1_finset_1(B) & v3_ordinal1(B) & v1_ordinal1(B) & m1_subset_1(B,k1_zfmisc_1(A)))) # label(rc2_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2696 (all A all B (-v1_xboole_0(k2_tarski(A,B)) & v1_finset_1(k2_tarski(A,B)))) # label(fc2_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2697 (all A all B (v1_finset_1(k2_zfmisc_1(B,A)) -> v1_finset_1(B) | A = k1_xboole_0)) # label(t22_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2698 (all A all B all C all D all E v1_finset_1(k3_enumset1(A,B,C,D,E))) # label(fc5_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2699 (all A all B (v1_finset_1(B) & v1_finset_1(A) -> v1_finset_1(k2_xboole_0(A,B)))) # label(t14_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2700 (all A all B all C all D all E all F all G all H v1_finset_1(k6_enumset1(A,B,C,D,E,F,G,H))) # label(fc8_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2701 (all A all B (v1_finset_1(B) & v1_finset_1(A) -> v1_finset_1(k5_xboole_0(A,B)))) # label(fc17_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2702 (all A all B (v1_funct_1(A) & v1_finset_1(B) & v1_relat_1(A) -> v1_finset_1(k9_relat_1(A,B)))) # label(fc13_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2703 (all A all B (v1_finset_1(A) & v1_finset_1(B) -> v1_finset_1(k2_zfmisc_1(A,B)))) # label(t19_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2704 $T # label(t8_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2705 $T # label(t5_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2706 (all A all B (v1_finset_1(B) -> v1_finset_1(k3_xboole_0(A,B)))) # label(fc10_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2707 $T # label(t3_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2708 (all A (v1_finset_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> v1_finset_1(B))))) # label(cc2_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2709 (all A all B all C all D (v1_finset_1(B) & v1_finset_1(C) & v1_finset_1(D) & v1_finset_1(A) -> v1_finset_1(k4_zfmisc_1(A,B,C,D)))) # label(t21_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2710 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_tarski(A,k2_relat_1(B)) & v1_finset_1(k10_relat_1(B,A)) -> v1_finset_1(A)))) # label(t27_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2711 (exists A (v1_funct_1(A) & k1_relat_1(A) = f1_s1_finset_1 & (all B (v3_ordinal1(B) -> (r2_hidden(B,f1_s1_finset_1) -> (p1_s1_finset_1(B) -> k1_funct_1(A,B) = f2_s1_finset_1(B)) & (-p1_s1_finset_1(B) -> k1_funct_1(A,B) = f3_s1_finset_1(B))))) & v1_relat_1(A))) # label(s1_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2712 p1_s2_finset_1(k1_xboole_0) & (all A all B (p1_s2_finset_1(B) & r1_tarski(B,f1_s2_finset_1) & r2_hidden(A,f1_s2_finset_1) -> p1_s2_finset_1(k2_xboole_0(B,k1_tarski(A))))) & v1_finset_1(f1_s2_finset_1) -> p1_s2_finset_1(f1_s2_finset_1) # label(s2_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2713 (all A all B (v1_finset_1(A) & v1_finset_1(B) -> v1_finset_1(k2_zfmisc_1(A,B)))) # label(fc14_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2714 (all A (v1_xboole_0(A) -> v1_finset_1(A))) # label(cc1_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2715 $T # label(t7_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2716 (all A all B (v1_finset_1(A) -> v1_finset_1(k4_xboole_0(A,B)))) # label(fc12_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2717 (all A (v1_finset_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> -(B != k1_xboole_0 & (all C -(r2_hidden(C,B) & (all D (r1_tarski(C,D) & r2_hidden(D,B) -> D = C))))))))) # label(t18_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2718 (all A (-v1_xboole_0(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(A)) & v1_finset_1(B) & -v1_xboole_0(B))))) # label(rc4_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2719 (all A (v1_finset_1(k3_tarski(A)) <-> v1_finset_1(A) & (all B (r2_hidden(B,A) -> v1_finset_1(B))))) # label(t25_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2720 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v1_finset_1(k1_relat_1(A)) -> v1_finset_1(k2_relat_1(A))))) # label(t26_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2721 $T # label(t11_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2722 (all A (-v1_xboole_0(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(A)) & v1_finset_1(B) & -v1_xboole_0(B))))) # label(rc3_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2723 (all A (-v1_xboole_0(k1_tarski(A)) & v1_finset_1(k1_tarski(A)))) # label(fc1_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2724 $T # label(t6_finset_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2725 (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].
15.80/15.32	2726 (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].
15.80/15.32	2727 (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].
15.80/15.32	2728 $T # label(t6_finsub_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2729 (all A (v1_finsub_1(A) & v3_finsub_1(A) <-> v4_finsub_1(A))) # label(d4_finsub_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2730 $T # label(t22_finsub_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2731 $T # label(t31_finsub_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2732 (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].
15.80/15.32	2733 (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].
15.80/15.32	2734 $T # label(t4_finsub_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2735 $T # label(t9_finsub_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2736 (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].
15.80/15.32	2737 $T # label(t12_finsub_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2738 (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].
15.80/15.32	2739 $T # label(t5_finsub_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2740 (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].
15.80/15.32	2741 (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].
15.80/15.32	2742 (all A (v1_finset_1(A) -> k5_finsub_1(A) = k1_zfmisc_1(A))) # label(t27_finsub_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2743 $T # label(t33_finsub_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2744 (all A v4_finsub_1(k1_zfmisc_1(A))) # label(t20_finsub_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2745 $T # label(t2_finsub_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2746 (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].
15.80/15.32	2747 $T # label(t1_finsub_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2748 $T # label(t29_finsub_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2749 (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].
15.80/15.32	2750 (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].
15.80/15.32	2751 (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].
15.80/15.32	2752 $T # label(t8_finsub_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2753 (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].
15.80/15.32	2754 $T # label(t7_finsub_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2755 (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].
15.80/15.32	2756 $T # label(t3_finsub_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2757 (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].
15.80/15.32	2758 $T # label(t11_finsub_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2759 (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].
15.80/15.32	2760 (all A v4_finsub_1(k5_finsub_1(A))) # label(dt_k5_finsub_1) # label(axiom) # label(non_clause).  [assumption].
15.80/15.32	2761 (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].
15.80/15.32	2762 (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].
15.80/15.32	2763 (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].
15.80/15.32	2764 (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].
15.80/15.32	2765 (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].
15.80/15.32	2766 (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].
15.80/15.32	2767 (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].
15.80/15.32	2768 (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].
15.81/15.32	2769 (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].
15.81/15.32	2770 (all A (v4_finsub_1(A) -> v1_finsub_1(A) & v3_finsub_1(A))) # label(cc1_finsub_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2771 (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].
15.81/15.32	2772 (all A r1_tarski(k5_finsub_1(A),k1_zfmisc_1(A))) # label(t26_finsub_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2773 (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].
15.81/15.32	2774 (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].
15.81/15.32	2775 (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].
15.81/15.32	2776 $T # label(t19_finsub_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2777 (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].
15.81/15.32	2778 (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].
15.81/15.32	2779 (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].
15.81/15.32	2780 (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].
15.81/15.32	2781 (all A (v1_finsub_1(A) & v3_finsub_1(A) -> v4_finsub_1(A))) # label(cc2_finsub_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2782 (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].
15.81/15.32	2783 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(A)) -> -(k1_xboole_0 != B & (all C (m1_subset_1(C,A) -> -r2_hidden(C,B)))))))) # label(t18_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2784 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(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) -> (all D (m1_subset_1(D,k5_finsub_1(B)) -> (all E (v1_funct_2(E,B,A) & m2_relset_1(E,B,A) & v1_funct_1(E) -> (v1_binop_1(C,A) & v3_binop_1(C,A) & v2_binop_1(C,A) -> (all F (m1_subset_1(F,B) -> (r2_hidden(F,D) -> k2_binop_1(A,A,A,C,k8_funct_2(B,A,E,F),k7_setwiseo(B,A,C,D,E)) = k7_setwiseo(B,A,C,D,E))))))))))))))) # label(t31_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2785 (all A (-v1_xboole_0(A) -> (all B all C (v1_funct_1(C) & m2_relset_1(C,A,k5_finsub_1(B)) & v1_funct_2(C,A,k5_finsub_1(B)) -> (all D (m1_subset_1(D,k5_finsub_1(A)) -> k3_tarski(k8_setwiseo(A,k5_finsub_1(B),C,D)) = k10_setwiseo(A,B,D,C))))))) # label(t61_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2786 (all A (-v1_xboole_0(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,A,k5_finsub_1(A)) & v1_funct_2(B,A,k5_finsub_1(A)) -> ((all C (m1_subset_1(C,A) -> k8_funct_2(A,k5_finsub_1(A),B,C) = k2_setwiseo(A,C))) <-> B = k11_setwiseo(A)))))) # label(t67_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2787 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(A)) -> B = k10_setwiseo(A,A,B,k11_setwiseo(A)))))) # label(t71_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2788 $T # label(t2_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2789 (all A r3_binop_1(k5_finsub_1(A),k1_setwiseo(A),k9_setwiseo(A))) # label(t52_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2790 (all A k3_binop_1(k5_finsub_1(A),k9_setwiseo(A)) = k1_xboole_0) # label(t55_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2791 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C all D (m2_relset_1(D,k2_zfmisc_1(B,B),B) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & v1_funct_1(D) -> (v1_binop_1(D,B) & v1_setwiseo(D,B) & v3_binop_1(D,B) & v2_binop_1(D,B) -> (all E (v1_funct_1(E) & v1_funct_2(E,A,k5_finsub_1(C)) & m2_relset_1(E,A,k5_finsub_1(C)) -> (all F (v1_funct_1(F) & v1_funct_2(F,k5_finsub_1(C),B) & m2_relset_1(F,k5_finsub_1(C),B) -> ((all G (m1_subset_1(G,k5_finsub_1(C)) -> (all H (m1_subset_1(H,k5_finsub_1(C)) -> k8_funct_2(k5_finsub_1(C),B,F,k5_setwiseo(C,G,H)) = k2_binop_1(B,B,B,D,k8_funct_2(k5_finsub_1(C),B,F,G),k8_funct_2(k5_finsub_1(C),B,F,H)))))) & k3_binop_1(B,D) = k8_funct_2(k5_finsub_1(C),B,F,k1_setwiseo(C)) -> (all G (m1_subset_1(G,k5_finsub_1(A)) -> k8_funct_2(k5_finsub_1(C),B,F,k10_setwiseo(A,C,G,E)) = k7_setwiseo(A,B,D,G,k7_funct_2(A,k5_finsub_1(C),B,E,F)))))))))))))))) # label(t65_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2792 (all A (-v1_xboole_0(A) -> (all B (-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_2(D,B,A) & m2_relset_1(D,B,A) & v1_funct_1(D) -> (v3_binop_1(C,A) & v2_binop_1(C,A) & v1_binop_1(C,A) -> (all E (m1_subset_1(E,k5_finsub_1(B)) -> (all F (m1_subset_1(F,k5_finsub_1(B)) -> -(k2_binop_1(A,A,A,C,k7_setwiseo(B,A,C,E,D),k7_setwiseo(B,A,C,F,D)) != k7_setwiseo(B,A,C,k5_setwiseo(B,E,F),D) & k1_xboole_0 != F & E != k1_xboole_0)))))))))))))) # label(t30_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2793 (all A (-v1_xboole_0(A) -> (all B all C (v1_funct_1(C) & m2_relset_1(C,A,k5_finsub_1(B)) & v1_funct_2(C,A,k5_finsub_1(B)) -> (all D (m1_subset_1(D,k5_finsub_1(A)) -> (all E (r2_hidden(E,k10_setwiseo(A,B,D,C)) <-> (exists F (m1_subset_1(F,A) & r2_hidden(F,D) & r2_hidden(E,k8_funct_2(A,k5_finsub_1(B),C,F)))))))))))) # label(t70_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2794 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(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 (v1_funct_1(D) & v1_funct_2(D,B,A) & m2_relset_1(D,B,A) -> (v1_binop_1(C,A) & v2_binop_1(C,A) -> (all E (m1_subset_1(E,B) -> k7_setwiseo(B,A,C,k2_setwiseo(B,E),D) = k8_funct_2(B,A,D,E)))))))))))) # label(t26_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2795 (all A (m1_subset_1(k1_setwiseo(A),k5_finsub_1(A)) & v1_xboole_0(k1_setwiseo(A)))) # label(dt_k1_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2796 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(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) -> (v2_binop_1(C,A) & v1_setwiseo(C,A) & v1_binop_1(C,A) -> (all D (v1_funct_2(D,B,A) & m2_relset_1(D,B,A) & v1_funct_1(D) -> k7_setwiseo(B,A,C,k1_setwiseo(B),D) = k3_binop_1(A,C)))))))))) # label(t40_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2797 p1_s2_setwiseo(k1_setwiseo(f1_s2_setwiseo)) & (all A (m1_subset_1(A,k5_finsub_1(f1_s2_setwiseo)) -> (all B (m1_subset_1(B,f1_s2_setwiseo) -> (p1_s2_setwiseo(A) -> p1_s2_setwiseo(k5_setwiseo(f1_s2_setwiseo,A,k2_setwiseo(f1_s2_setwiseo,B))) | r2_hidden(B,A)))))) -> (all A (m1_subset_1(A,k5_finsub_1(f1_s2_setwiseo)) -> p1_s2_setwiseo(A))) # label(s2_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2798 (all A (-v1_xboole_0(A) -> (all B (-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) & m2_relset_1(D,B,A) & v1_funct_2(D,B,A) -> (v3_binop_1(C,A) & v1_binop_1(C,A) & v2_binop_1(C,A) -> (all E (m1_subset_1(E,B) -> (all F (m1_subset_1(F,B) -> k2_binop_1(A,A,A,C,k8_funct_2(B,A,D,E),k8_funct_2(B,A,D,F)) = k7_setwiseo(B,A,C,k3_setwiseo(B,E,F),D)))))))))))))) # label(t27_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2799 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_2(C,B,A) & m2_relset_1(C,B,A) & v1_funct_1(C) -> (all D (m1_subset_1(D,B) -> k1_tarski(k8_funct_2(B,A,C,D)) = k2_funct_2(B,A,C,k1_tarski(D)))))))))) # label(t13_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2800 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m2_relset_1(C,k2_zfmisc_1(B,B),B) -> (v1_binop_1(C,B) & v3_binop_1(C,B) & v1_setwiseo(C,B) & v2_binop_1(C,B) -> (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,A,B) & v1_funct_2(E,A,B) -> (all F (m1_subset_1(F,k5_finsub_1(A)) -> (all G (m1_subset_1(G,k5_finsub_1(A)) -> (k8_setwiseo(A,B,E,G) = k8_setwiseo(A,B,D,F) -> k7_setwiseo(A,B,C,G,E) = k7_setwiseo(A,B,C,F,D))))))))))))))))) # label(t43_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2801 (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) -> k1_enumset1(B,C,D) = k4_setwiseo(A,B,C,D))) # label(redefinition_k4_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2802 (all A all B (m1_subset_1(B,k5_finsub_1(A)) -> (all C (r1_tarski(C,B) -> m1_subset_1(C,k5_finsub_1(A)))))) # label(t16_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2803 (all A (-v1_xboole_0(A) -> (all B all C (v1_funct_1(C) & m2_relset_1(C,A,k5_finsub_1(B)) & v1_funct_2(C,A,k5_finsub_1(B)) -> (all D (m1_subset_1(D,A) -> k8_funct_2(A,k5_finsub_1(B),C,D) = k10_setwiseo(A,B,k2_setwiseo(A,D),C))))))) # label(t56_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2804 (exists A ((all B (m1_subset_1(B,f1_s1_setwiseo) -> (all C (m1_subset_1(C,f1_s1_setwiseo) -> (r2_hidden(C,f2_s1_setwiseo) & p1_s1_setwiseo(C,B) <-> r2_hidden(C,k8_funct_2(f1_s1_setwiseo,k5_finsub_1(f1_s1_setwiseo),A,B))))))) & m2_relset_1(A,f1_s1_setwiseo,k5_finsub_1(f1_s1_setwiseo)) & v1_funct_2(A,f1_s1_setwiseo,k5_finsub_1(f1_s1_setwiseo)) & v1_funct_1(A))) # label(s1_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2805 (all A all B all C r1_tarski(k1_tarski(A),k1_enumset1(A,B,C))) # label(t3_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2806 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m2_relset_1(C,k2_zfmisc_1(B,B),B) -> (v2_binop_1(C,B) & v3_binop_1(C,B) & v1_setwiseo(C,B) & v1_binop_1(C,B) -> (all D (-v1_xboole_0(D) -> (all E (m2_relset_1(E,k2_zfmisc_1(D,D),D) & v1_funct_2(E,k2_zfmisc_1(D,D),D) & v1_funct_1(E) -> (v2_binop_1(E,D) & v3_binop_1(E,D) & v1_setwiseo(E,D) & v1_binop_1(E,D) -> (all F (v1_funct_1(F) & v1_funct_2(F,A,B) & m2_relset_1(F,A,B) -> (all G (m2_relset_1(G,B,D) & v1_funct_2(G,B,D) & v1_funct_1(G) -> ((all H (m1_subset_1(H,B) -> (all I (m1_subset_1(I,B) -> k8_funct_2(B,D,G,k2_binop_1(B,B,B,C,H,I)) = k2_binop_1(D,D,D,E,k8_funct_2(B,D,G,H),k8_funct_2(B,D,G,I)))))) & k3_binop_1(D,E) = k8_funct_2(B,D,G,k3_binop_1(B,C)) -> (all H (m1_subset_1(H,k5_finsub_1(A)) -> k8_funct_2(B,D,G,k7_setwiseo(A,B,C,H,F)) = k7_setwiseo(A,D,E,H,k7_funct_2(A,B,D,F,G))))))))))))))))))))) # label(t45_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2807 (all A v3_binop_1(k9_setwiseo(A),k5_finsub_1(A))) # label(t49_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2808 (all A (m1_subset_1(A,f1_s3_setwiseo) -> p1_s3_setwiseo(k2_setwiseo(f1_s3_setwiseo,A)))) & (all A (m1_subset_1(A,k5_finsub_1(f1_s3_setwiseo)) -> (all B (m1_subset_1(B,k5_finsub_1(f1_s3_setwiseo)) -> (p1_s3_setwiseo(B) & p1_s3_setwiseo(A) -> B = k1_xboole_0 | p1_s3_setwiseo(k5_setwiseo(f1_s3_setwiseo,A,B)) | A = k1_xboole_0))))) -> (all A (m1_subset_1(A,k5_finsub_1(f1_s3_setwiseo)) -> (k1_xboole_0 != A -> p1_s3_setwiseo(A)))) # label(s3_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2809 (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) -> ((exists C (m1_subset_1(C,A) & r3_binop_1(A,C,B))) <-> v1_setwiseo(B,A)))))) # label(d2_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2810 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(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) -> (all D (m1_subset_1(D,k5_finsub_1(B)) -> (all E (v1_funct_2(E,B,A) & m2_relset_1(E,B,A) & v1_funct_1(E) -> (v3_binop_1(C,A) & v2_binop_1(C,A) & v1_binop_1(C,A) -> (all F (m1_subset_1(F,A) -> ((all G (m1_subset_1(G,B) -> (r2_hidden(G,D) -> k8_funct_2(B,A,E,G) = F))) -> k7_setwiseo(B,A,C,D,E) = F))) | k1_xboole_0 = D))))))))))) # label(t33_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2811 (all A all B all C (r2_hidden(A,k2_xboole_0(B,k1_tarski(C))) <-> A = C | r2_hidden(A,B))) # label(t6_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2812 (all A all B all C (m1_subset_1(B,k5_finsub_1(A)) & m1_subset_1(C,k5_finsub_1(A)) -> m1_subset_1(k6_setwiseo(A,B,C),k5_finsub_1(A)))) # label(dt_k6_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2813 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,A) & m1_subset_1(B,A) -> k3_setwiseo(A,B,C) = k2_tarski(B,C))) # label(redefinition_k3_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2814 p1_s4_setwiseo(k1_setwiseo(f1_s4_setwiseo)) & (all A (m1_subset_1(A,k5_finsub_1(f1_s4_setwiseo)) -> (all B (m1_subset_1(B,f1_s4_setwiseo) -> (p1_s4_setwiseo(A) -> p1_s4_setwiseo(k5_setwiseo(f1_s4_setwiseo,A,k2_setwiseo(f1_s4_setwiseo,B)))))))) -> (all A (m1_subset_1(A,k5_finsub_1(f1_s4_setwiseo)) -> p1_s4_setwiseo(A))) # label(s4_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2815 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(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) -> (all D (m1_subset_1(D,k5_finsub_1(B)) -> (all E (m2_relset_1(E,B,A) & v1_funct_2(E,B,A) & v1_funct_1(E) -> (v1_binop_1(C,A) & v2_binop_1(C,A) & v3_binop_1(C,A) -> k1_xboole_0 = D | (all F (m1_subset_1(F,B) -> k7_setwiseo(B,A,C,k5_setwiseo(B,D,k2_setwiseo(B,F)),E) = k2_binop_1(A,A,A,C,k7_setwiseo(B,A,C,D,E),k8_funct_2(B,A,E,F))))))))))))))) # label(t29_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2816 (all A all B all C all D all E (-v1_xboole_0(B) & v1_funct_1(C) & m1_relset_1(E,A,B) & v1_funct_2(E,A,B) & v1_funct_1(E) & m1_subset_1(D,k5_finsub_1(A)) & m1_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & -v1_xboole_0(A) -> m1_subset_1(k7_setwiseo(A,B,C,D,E),B))) # label(dt_k7_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2817 (all A all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k5_finsub_1(A)) & m2_relset_1(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k5_finsub_1(A)) -> ((all C (m1_subset_1(C,k5_finsub_1(A)) -> (all D (m1_subset_1(D,k5_finsub_1(A)) -> k2_binop_1(k5_finsub_1(A),k5_finsub_1(A),k5_finsub_1(A),B,C,D) = k5_setwiseo(A,C,D))))) <-> k9_setwiseo(A) = B))) # label(d4_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2818 $T # label(t17_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2819 (all A (-v1_xboole_0(A) -> (all B all C (v1_funct_1(C) & m2_relset_1(C,A,k5_finsub_1(B)) & v1_funct_2(C,A,k5_finsub_1(B)) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> k5_setwiseo(B,k8_funct_2(A,k5_finsub_1(B),C,D),k8_funct_2(A,k5_finsub_1(B),C,E)) = k10_setwiseo(A,B,k3_setwiseo(A,D,E),C))))))))) # label(t57_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2820 $T # label(t10_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2821 (all A all B (v1_funct_2(B,A,k5_finsub_1(A)) & m2_relset_1(B,A,k5_finsub_1(A)) & v1_funct_1(B) -> (k11_setwiseo(A) = B <-> (all C (r2_hidden(C,A) -> k1_tarski(C) = k1_funct_1(B,C)))))) # label(d6_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.32	2822 $T # label(t9_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.33	2823 (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_setwiseo(B,A) -> (all C (m1_subset_1(C,A) -> C = k2_binop_1(A,A,A,B,k3_binop_1(A,B),C) & k2_binop_1(A,A,A,B,C,k3_binop_1(A,B)) = C))))))) # label(t23_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.33	2824 (all A (-v1_xboole_0(A) -> (all B all C (v1_funct_1(C) & v1_funct_2(C,A,k5_finsub_1(B)) & m2_relset_1(C,A,k5_finsub_1(B)) -> k10_setwiseo(A,B,k1_setwiseo(A),C) = k1_xboole_0)))) # label(t59_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.33	2825 (all A (v1_funct_1(k11_setwiseo(A)) & v1_funct_2(k11_setwiseo(A),A,k5_finsub_1(A)) & m2_relset_1(k11_setwiseo(A),A,k5_finsub_1(A)))) # label(dt_k11_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.33	2826 (all A (-v1_xboole_0(A) -> (all B all C (v1_funct_1(C) & m2_relset_1(C,A,k5_finsub_1(B)) & v1_funct_2(C,A,k5_finsub_1(B)) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,k5_finsub_1(A)) -> k5_setwiseo(B,k10_setwiseo(A,B,E,C),k8_funct_2(A,k5_finsub_1(B),C,D)) = k10_setwiseo(A,B,k5_setwiseo(A,E,k2_setwiseo(A,D)),C))))))))) # label(t60_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.33	2827 $T # label(t24_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.33	2828 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & v1_funct_1(C) -> (all D (m1_subset_1(D,k5_finsub_1(A)) -> (all E (v1_funct_1(E) & v1_funct_2(E,A,B) & m2_relset_1(E,A,B) -> (v2_binop_1(C,B) & v1_binop_1(C,B) & v3_binop_1(C,B) -> -v1_setwiseo(C,B) & D = k1_xboole_0 | (all F (m1_subset_1(F,B) -> ((exists G (v1_funct_1(G) & v1_funct_2(G,k5_finsub_1(A),B) & m2_relset_1(G,k5_finsub_1(A),B) & (all H (m1_subset_1(H,A) -> k8_funct_2(A,B,E,H) = k8_funct_2(k5_finsub_1(A),B,G,k2_setwiseo(A,H)))) & (all H (m1_subset_1(H,k5_finsub_1(A)) -> (r1_tarski(H,D) -> H = k1_xboole_0 | (all I (m1_subset_1(I,A) -> (r2_hidden(I,D) -> k8_funct_2(k5_finsub_1(A),B,G,k5_setwiseo(A,H,k2_setwiseo(A,I))) = k2_binop_1(B,B,B,C,k8_funct_2(k5_finsub_1(A),B,G,H),k8_funct_2(A,B,E,I)))))))) & (all H (m1_subset_1(H,B) -> (r3_binop_1(B,H,C) -> H = k1_funct_1(G,k1_xboole_0)))) & F = k8_funct_2(k5_finsub_1(A),B,G,D))) <-> k7_setwiseo(A,B,C,D,E) = F)))))))))))))) # label(t25_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.33	2829 (all A all B all C all D (m1_subset_1(D,A) & m1_subset_1(C,A) & m1_subset_1(B,A) & -v1_xboole_0(A) -> m1_subset_1(k4_setwiseo(A,B,C,D),k5_finsub_1(A)))) # label(dt_k4_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.33	2830 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(A)) -> (all C (r2_hidden(C,B) -> m1_subset_1(C,A))))))) # label(t14_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.33	2831 (all A (v1_funct_1(k9_setwiseo(A)) & m2_relset_1(k9_setwiseo(A),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k5_finsub_1(A)) & v1_funct_2(k9_setwiseo(A),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k5_finsub_1(A)))) # label(dt_k9_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.33	2832 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(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 (v1_funct_2(D,B,A) & m2_relset_1(D,B,A) & v1_funct_1(D) -> (v3_binop_1(C,A) & v1_setwiseo(C,A) & v2_binop_1(C,A) & v1_binop_1(C,A) -> (all E (m1_subset_1(E,k5_finsub_1(B)) -> (all F (m1_subset_1(F,k5_finsub_1(B)) -> k7_setwiseo(B,A,C,k5_setwiseo(B,E,F),D) = k2_binop_1(A,A,A,C,k7_setwiseo(B,A,C,E,D),k7_setwiseo(B,A,C,F,D))))))))))))))) # label(t42_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.33	2833 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) -> k3_setwiseo(A,C,B) = k3_setwiseo(A,B,C))) # label(commutativity_k3_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.33	2834 (all A all B all C (m1_subset_1(C,k5_finsub_1(A)) & m1_subset_1(B,k5_finsub_1(A)) -> m1_subset_1(k5_setwiseo(A,B,C),k5_finsub_1(A)))) # label(dt_k5_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2835 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C all D (v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m2_relset_1(D,k2_zfmisc_1(A,A),A) -> (v3_binop_1(D,A) & v2_binop_1(D,A) & v1_binop_1(D,A) -> (all E (m1_subset_1(E,k5_finsub_1(B)) -> (k1_xboole_0 != E -> (all F (m2_relset_1(F,B,k5_finsub_1(C)) & v1_funct_2(F,B,k5_finsub_1(C)) & v1_funct_1(F) -> (all G (v1_funct_2(G,k5_finsub_1(C),A) & m2_relset_1(G,k5_finsub_1(C),A) & v1_funct_1(G) -> ((all H (m1_subset_1(H,k5_finsub_1(C)) -> (all I (m1_subset_1(I,k5_finsub_1(C)) -> k2_binop_1(A,A,A,D,k8_funct_2(k5_finsub_1(C),A,G,H),k8_funct_2(k5_finsub_1(C),A,G,I)) = k8_funct_2(k5_finsub_1(C),A,G,k5_setwiseo(C,H,I)))))) -> k7_setwiseo(B,A,D,E,k7_funct_2(B,k5_finsub_1(C),A,F,G)) = k8_funct_2(k5_finsub_1(C),A,G,k10_setwiseo(B,C,E,F))))))))))))))))) # label(t64_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2836 (all A all B (m1_subset_1(B,A) & -v1_xboole_0(A) -> m1_subset_1(k2_setwiseo(A,B),k5_finsub_1(A)))) # label(dt_k2_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2837 (all A v1_setwiseo(k9_setwiseo(A),k5_finsub_1(A))) # label(t53_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2838 (all A (-v1_xboole_0(A) -> (exists B (-v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(B,k5_finsub_1(A)))))) # label(rc2_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2839 (all A all B all C all D (m1_subset_1(C,k5_finsub_1(A)) & v1_funct_2(D,A,k5_finsub_1(B)) & m1_relset_1(D,A,k5_finsub_1(B)) & v1_funct_1(D) & -v1_xboole_0(A) -> m1_subset_1(k10_setwiseo(A,B,C,D),k5_finsub_1(B)))) # label(dt_k10_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2840 (all A (-v1_xboole_0(A) -> (all B all C (m1_subset_1(C,A) -> (r2_hidden(B,k8_funct_2(A,k5_finsub_1(A),k11_setwiseo(A),C)) <-> B = C))))) # label(t68_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2841 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) -> m1_subset_1(k3_setwiseo(A,B,C),k5_finsub_1(A)))) # label(dt_k3_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2842 (all A all B all C -(-r1_tarski(A,B) & -r2_hidden(C,A) & r1_tarski(A,k2_xboole_0(B,k1_tarski(C))))) # label(t5_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2843 $T # label(t48_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2844 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_2(C,k2_zfmisc_1(B,B),B) & m2_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_1(C) -> (all D (m1_subset_1(D,k5_finsub_1(A)) -> (all E (m2_relset_1(E,A,B) & v1_funct_2(E,A,B) & v1_funct_1(E) -> (v2_binop_1(C,B) & v1_binop_1(C,B) -> -v1_setwiseo(C,B) & k1_xboole_0 = D | (all F (m1_subset_1(F,B) -> (k7_setwiseo(A,B,C,D,E) = F <-> (exists G (v1_funct_2(G,k5_finsub_1(A),B) & m2_relset_1(G,k5_finsub_1(A),B) & (all H (m1_subset_1(H,A) -> k8_funct_2(k5_finsub_1(A),B,G,k2_setwiseo(A,H)) = k8_funct_2(A,B,E,H))) & (all H (m1_subset_1(H,k5_finsub_1(A)) -> (r1_tarski(H,D) -> k1_xboole_0 = H | (all I (m1_subset_1(I,A) -> (r2_hidden(I,k6_setwiseo(A,D,H)) -> k2_binop_1(B,B,B,C,k8_funct_2(k5_finsub_1(A),B,G,H),k8_funct_2(A,B,E,I)) = k8_funct_2(k5_finsub_1(A),B,G,k5_setwiseo(A,H,k2_setwiseo(A,I))))))))) & (all H (m1_subset_1(H,B) -> (r3_binop_1(B,H,C) -> H = k1_funct_1(G,k1_xboole_0)))) & F = k8_funct_2(k5_finsub_1(A),B,G,D) & v1_funct_1(G))))))))))))))))) # label(d3_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2845 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (r2_hidden(B,k8_funct_2(A,k5_finsub_1(A),k11_setwiseo(A),D)) & r2_hidden(C,k8_funct_2(A,k5_finsub_1(A),k11_setwiseo(A),D)) -> C = B))))))))) # label(t69_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2846 (all A all B all C (m1_subset_1(B,k5_finsub_1(A)) & m1_subset_1(C,k5_finsub_1(A)) -> k2_xboole_0(B,C) = k5_setwiseo(A,B,C))) # label(redefinition_k5_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2847 (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) -> (r3_binop_1(A,k3_binop_1(A,B),B) <-> v1_setwiseo(B,A)))))) # label(t22_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2848 $T # label(t1_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2849 (all A all B all C (r2_hidden(B,C) & r1_tarski(A,C) <-> r1_tarski(k2_xboole_0(A,k1_tarski(B)),C))) # label(t8_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2850 (all A (-v1_xboole_0(A) -> (all B all C (m2_relset_1(C,A,k5_finsub_1(B)) & v1_funct_2(C,A,k5_finsub_1(B)) & v1_funct_1(C) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,A) -> k10_setwiseo(A,B,k4_setwiseo(A,D,E,F),C) = k5_setwiseo(B,k5_setwiseo(B,k8_funct_2(A,k5_finsub_1(B),C,D),k8_funct_2(A,k5_finsub_1(B),C,E)),k8_funct_2(A,k5_finsub_1(B),C,F)))))))))))) # label(t58_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2851 (all A v2_binop_1(k9_setwiseo(A),k5_finsub_1(A))) # label(t51_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2852 (all A (-v1_xboole_0(A) -> (all B all C (m1_subset_1(C,k5_finsub_1(A)) -> (all D (v1_funct_1(D) & v1_funct_2(D,A,k5_finsub_1(B)) & m2_relset_1(D,A,k5_finsub_1(B)) -> k7_setwiseo(A,k5_finsub_1(B),k9_setwiseo(B),C,D) = k10_setwiseo(A,B,C,D))))))) # label(d5_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2853 (all A r3_binop_1(k5_finsub_1(A),k3_binop_1(k5_finsub_1(A),k9_setwiseo(A)),k9_setwiseo(A))) # label(t54_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2854 $T # label(t7_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2855 (all A v1_binop_1(k9_setwiseo(A),k5_finsub_1(A))) # label(t50_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2856 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> k9_relat_1(C,k4_xboole_0(B,k10_relat_1(C,A))) = k4_xboole_0(k9_relat_1(C,B),A))) # label(t11_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2857 (all A (-v1_xboole_0(A) -> (all B (-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_1(D) & m2_relset_1(D,B,A) & v1_funct_2(D,B,A) -> (v3_binop_1(C,A) & v1_binop_1(C,A) & v2_binop_1(C,A) -> (all E (m1_subset_1(E,B) -> (all F (m1_subset_1(F,B) -> (all G (m1_subset_1(G,B) -> k2_binop_1(A,A,A,C,k2_binop_1(A,A,A,C,k8_funct_2(B,A,D,E),k8_funct_2(B,A,D,F)),k8_funct_2(B,A,D,G)) = k7_setwiseo(B,A,C,k4_setwiseo(B,E,F,G),D)))))))))))))))) # label(t28_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2858 (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,A),A) & v1_funct_2(D,k2_zfmisc_1(A,A),A) -> (v1_binop_1(D,A) & v2_binop_1(D,A) & v3_binop_1(D,A) -> (all E (m1_subset_1(E,k5_finsub_1(B)) -> (k1_xboole_0 != E -> (all F (v1_funct_2(F,B,C) & m2_relset_1(F,B,C) & v1_funct_1(F) -> (all G (v1_funct_1(G) & m2_relset_1(G,C,A) & v1_funct_2(G,C,A) -> k7_setwiseo(B,A,D,E,k7_funct_2(B,C,A,F,G)) = k7_setwiseo(C,A,D,k8_setwiseo(B,C,F,E),G))))))))))))))))) # label(t38_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2859 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (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) -> (v2_binop_1(D,A) & v1_setwiseo(D,A) & v1_binop_1(D,A) & v3_binop_1(D,A) -> (all E (m1_subset_1(E,k5_finsub_1(B)) -> (all F (v1_funct_1(F) & m2_relset_1(F,B,C) & v1_funct_2(F,B,C) -> (all G (v1_funct_1(G) & v1_funct_2(G,C,A) & m2_relset_1(G,C,A) -> k7_setwiseo(C,A,D,k8_setwiseo(B,C,F,E),G) = k7_setwiseo(B,A,D,E,k7_funct_2(B,C,A,F,G))))))))))))))))) # label(t44_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2860 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & v1_funct_1(C) -> (all D (m1_subset_1(D,k5_finsub_1(A)) -> (all E (v1_funct_1(E) & v1_funct_2(E,A,B) & m2_relset_1(E,A,B) -> (v1_binop_1(C,B) & v2_binop_1(C,B) & v3_binop_1(C,B) -> (all F (m1_subset_1(F,B) -> (k2_setwiseo(B,F) = k2_funct_2(A,B,E,D) -> F = k7_setwiseo(A,B,C,D,E))))))))))))))) # label(t34_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2861 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) -> (v2_binop_1(C,B) & v3_binop_1(C,B) & v1_binop_1(C,B) -> (all D (-v1_xboole_0(D) -> (all E (v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(D,D),D) & m2_relset_1(E,k2_zfmisc_1(D,D),D) -> (v2_binop_1(E,D) & v3_binop_1(E,D) & v1_binop_1(E,D) -> (all F (v1_funct_1(F) & m2_relset_1(F,A,B) & v1_funct_2(F,A,B) -> (all G (v1_funct_2(G,B,D) & m2_relset_1(G,B,D) & v1_funct_1(G) -> ((all H (m1_subset_1(H,B) -> (all I (m1_subset_1(I,B) -> k2_binop_1(D,D,D,E,k8_funct_2(B,D,G,H),k8_funct_2(B,D,G,I)) = k8_funct_2(B,D,G,k2_binop_1(B,B,B,C,H,I)))))) -> (all H (m1_subset_1(H,k5_finsub_1(A)) -> (H != k1_xboole_0 -> k7_setwiseo(A,D,E,H,k7_funct_2(A,B,D,F,G)) = k8_funct_2(B,D,G,k7_setwiseo(A,B,C,H,F)))))))))))))))))))))) # label(t39_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2862 (all A exists B (m1_subset_1(B,k5_finsub_1(A)) & v1_xboole_0(B) & v1_finset_1(B))) # label(rc1_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2863 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,k5_finsub_1(A)) -> (all 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) -> r2_hidden(k8_funct_2(A,B,E,F),D)))) -> r1_tarski(k2_funct_2(A,B,E,C),D)))))))))) # label(t15_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2864 (all A (-v1_xboole_0(A) -> (all B (-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 (m1_subset_1(D,k5_finsub_1(B)) -> (all E (m2_relset_1(E,B,A) & v1_funct_2(E,B,A) & v1_funct_1(E) -> (v3_binop_1(C,A) & v1_binop_1(C,A) & v2_binop_1(C,A) & v1_setwiseo(C,A) -> (all F (m1_subset_1(F,B) -> k7_setwiseo(B,A,C,k5_setwiseo(B,D,k2_setwiseo(B,F)),E) = k2_binop_1(A,A,A,C,k7_setwiseo(B,A,C,D,E),k8_funct_2(B,A,E,F))))))))))))))) # label(t41_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2865 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m2_relset_1(C,k2_zfmisc_1(B,B),B) -> (v1_binop_1(C,B) & v2_binop_1(C,B) & v3_binop_1(C,B) -> (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,A,B) & v1_funct_2(E,A,B) -> (all F (m1_subset_1(F,k5_finsub_1(A)) -> (all G (m1_subset_1(G,k5_finsub_1(A)) -> (k2_funct_2(A,B,E,G) = k2_funct_2(A,B,D,F) -> k7_setwiseo(A,B,C,F,D) = k7_setwiseo(A,B,C,G,E) | k1_xboole_0 = F)))))))))))))))) # label(t35_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2866 (all A all B all C all D (-v1_xboole_0(A) & v1_funct_1(C) & m1_subset_1(D,k5_finsub_1(A)) & m1_relset_1(C,A,B) & v1_funct_2(C,A,B) & -v1_xboole_0(B) -> k8_setwiseo(A,B,C,D) = k9_relat_1(C,D))) # label(redefinition_k8_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2867 (all A (-v1_xboole_0(A) -> (all B (-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_2(D,B,A) & m2_relset_1(D,B,A) & v1_funct_1(D) -> (v1_binop_1(C,A) & v2_binop_1(C,A) & v3_binop_1(C,A) -> (all E (m1_subset_1(E,k5_finsub_1(B)) -> (all F (m1_subset_1(F,k5_finsub_1(B)) -> (r1_tarski(E,F) -> k1_xboole_0 = E | k2_binop_1(A,A,A,C,k7_setwiseo(B,A,C,E,D),k7_setwiseo(B,A,C,F,D)) = k7_setwiseo(B,A,C,F,D))))))))))))))) # label(t32_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2868 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,A) -> k1_tarski(B) = k2_setwiseo(A,B))) # label(redefinition_k2_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2869 (all A all B all C r1_tarski(k2_tarski(A,B),k1_enumset1(A,B,C))) # label(t4_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2870 (all A (-v1_xboole_0(A) -> (all B all C (v1_funct_1(C) & v1_funct_2(C,A,k5_finsub_1(B)) & m2_relset_1(C,A,k5_finsub_1(B)) -> (all D (m1_subset_1(D,k5_finsub_1(A)) -> (all E (m1_subset_1(E,k5_finsub_1(A)) -> k5_setwiseo(B,k10_setwiseo(A,B,D,C),k10_setwiseo(A,B,E,C)) = k10_setwiseo(A,B,k5_setwiseo(A,D,E),C))))))))) # label(t62_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2871 (all A all B all C (m1_subset_1(B,k5_finsub_1(A)) & m1_subset_1(C,k5_finsub_1(A)) -> B = k5_setwiseo(A,B,B))) # label(idempotence_k5_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2872 $T # label(t47_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2873 (all A all B all C (m1_subset_1(C,k5_finsub_1(A)) & m1_subset_1(B,k5_finsub_1(A)) -> k4_xboole_0(B,C) = k6_setwiseo(A,B,C))) # label(redefinition_k6_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2874 (all A all B all C all D (-v1_xboole_0(A) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(D,k5_finsub_1(A)) & m1_relset_1(C,A,B) & -v1_xboole_0(B) -> m1_subset_1(k8_setwiseo(A,B,C,D),k5_finsub_1(B)))) # label(dt_k8_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2875 $T # label(t20_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2876 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C all D (m1_subset_1(D,k5_finsub_1(A)) -> (all E (v1_funct_1(E) & m2_relset_1(E,A,B) & v1_funct_2(E,A,B) -> (all F (v1_funct_2(F,B,k5_finsub_1(C)) & m2_relset_1(F,B,k5_finsub_1(C)) & v1_funct_1(F) -> k10_setwiseo(B,C,k8_setwiseo(A,B,E,D),F) = k10_setwiseo(A,C,D,k7_funct_2(A,B,k5_finsub_1(C),E,F)))))))))))) # label(t63_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2877 $T # label(t46_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2878 (all A all B all C (m1_subset_1(B,k5_finsub_1(A)) & m1_subset_1(C,k5_finsub_1(A)) -> k5_setwiseo(A,B,C) = k5_setwiseo(A,C,B))) # label(commutativity_k5_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2879 (all A k1_setwiseo(A) = k1_xboole_0) # label(d1_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2880 (all A (-v1_xboole_0(A) -> (all B (-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 (m2_relset_1(D,k2_zfmisc_1(A,A),A) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & v1_funct_1(D) -> (v3_binop_1(C,A) & v2_binop_1(C,A) & r6_binop_1(A,D,C) & v1_binop_1(C,A) -> (all E (m1_subset_1(E,k5_finsub_1(B)) -> (E != k1_xboole_0 -> (all F (v1_funct_2(F,B,A) & m2_relset_1(F,B,A) & v1_funct_1(F) -> (all G (m1_subset_1(G,A) -> k2_binop_1(A,A,A,D,k7_setwiseo(B,A,C,E,F),G) = k7_setwiseo(B,A,C,E,k7_funcop_1(A,B,D,F,G)))))))))))))))))) # label(t37_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2881 $T # label(t21_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2882 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,B,A) & v1_funct_2(C,B,A) & v1_funct_1(C) -> (all D (m1_subset_1(D,B) -> r2_hidden(D,k3_funct_2(B,A,C,k1_tarski(k8_funct_2(B,A,C,D)))))))))))) # label(t12_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2883 $T # label(t66_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2884 (all A (-v1_xboole_0(A) -> (all B (-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_1(D) & m2_relset_1(D,k2_zfmisc_1(A,A),A) & v1_funct_2(D,k2_zfmisc_1(A,A),A) -> (r6_binop_1(A,D,C) & v2_binop_1(C,A) & v1_binop_1(C,A) & v3_binop_1(C,A) -> (all E (m1_subset_1(E,k5_finsub_1(B)) -> (E != k1_xboole_0 -> (all F (v1_funct_2(F,B,A) & m2_relset_1(F,B,A) & v1_funct_1(F) -> (all G (m1_subset_1(G,A) -> k2_binop_1(A,A,A,D,G,k7_setwiseo(B,A,C,E,F)) = k7_setwiseo(B,A,C,E,k8_funcop_1(A,B,D,G,F)))))))))))))))))) # label(t36_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.34	2885 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,B,A) & v1_funct_2(C,B,A) -> (all D (m1_subset_1(D,k5_finsub_1(B)) -> (k2_funct_2(B,A,C,D) = k1_xboole_0 -> D = k1_xboole_0))))))))) # label(t19_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2886 (all A (-v1_xboole_0(A) -> (all B all C all D (v1_funct_1(D) & m2_relset_1(D,A,k5_finsub_1(B)) & v1_funct_2(D,A,k5_finsub_1(B)) -> (all E (m2_relset_1(E,k5_finsub_1(B),k5_finsub_1(C)) & v1_funct_2(E,k5_finsub_1(B),k5_finsub_1(C)) & v1_funct_1(E) -> (k1_setwiseo(C) = k8_funct_2(k5_finsub_1(B),k5_finsub_1(C),E,k1_setwiseo(B)) & (all F (m1_subset_1(F,k5_finsub_1(B)) -> (all G (m1_subset_1(G,k5_finsub_1(B)) -> k5_setwiseo(C,k8_funct_2(k5_finsub_1(B),k5_finsub_1(C),E,F),k8_funct_2(k5_finsub_1(B),k5_finsub_1(C),E,G)) = k8_funct_2(k5_finsub_1(B),k5_finsub_1(C),E,k5_setwiseo(B,F,G)))))) -> (all F (m1_subset_1(F,k5_finsub_1(A)) -> k10_setwiseo(A,C,F,k7_funct_2(A,k5_finsub_1(B),k5_finsub_1(C),D,E)) = k8_funct_2(k5_finsub_1(B),k5_finsub_1(C),E,k10_setwiseo(A,B,F,D))))))))))) # label(t72_setwiseo) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2887 (all A (r2_hidden(A,a_0_19_fraenkel) -> p2_s11_fraenkel(A))) -> (all A (m1_subset_1(A,f1_s11_fraenkel) -> (all B (m1_subset_1(B,f2_s11_fraenkel) -> (p1_s11_fraenkel(A,B) -> p2_s11_fraenkel(f3_s11_fraenkel(A,B))))))) # label(s11_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2888 (all A (m1_subset_1(A,f1_s12_fraenkel) -> (all B (m1_subset_1(B,f2_s12_fraenkel) -> (p1_s12_fraenkel(A,B) -> p2_s12_fraenkel(f3_s12_fraenkel(A,B))))))) -> (all A (r2_hidden(A,a_0_20_fraenkel) -> p2_s12_fraenkel(A))) # label(s12_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2889 (all A (r2_hidden(A,a_0_22_fraenkel) <-> (exists B exists C (m1_subset_1(C,f2_s13_fraenkel) & p1_s13_fraenkel(B,C) & A = f4_s13_fraenkel(B,C) & m1_subset_1(B,f1_s13_fraenkel))))) # label(fraenkel_a_0_22_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2890 (exists A ((all B (m1_subset_1(B,f1_s24_fraenkel) -> ((exists C (m1_subset_1(C,f2_s24_fraenkel) & p1_s24_fraenkel(B,C) & B = f4_s24_fraenkel(C) & r2_hidden(C,f3_s24_fraenkel))) <-> r2_hidden(B,A)))) & m1_subset_1(A,k5_finsub_1(f1_s24_fraenkel)))) # label(s24_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2891 (all A (-v1_xboole_0(A) -> (all B m1_fraenkel(k1_funct_2(B,A),B,A)))) # label(t11_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2892 (all A all B all C (-v1_xboole_0(B) & m1_fraenkel(C,A,B) -> (all D (m2_fraenkel(D,A,B,C) <-> m1_subset_1(D,C))))) # label(redefinition_m2_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2893 (all A ((exists B (m1_subset_1(B,f1_s9_fraenkel) & p2_s9_fraenkel(B) & r2_hidden(B,f3_s9_fraenkel) & A = k8_funct_2(f1_s9_fraenkel,f2_s9_fraenkel,f5_s9_fraenkel,B))) <-> r2_hidden(A,a_0_17_fraenkel))) # label(fraenkel_a_0_17_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2894 (all A all B (v1_finset_1(B) & v1_finset_1(A) -> v1_finset_1(k1_funct_2(A,B)))) # label(t16_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2895 (all A all B all C (v1_funct_1(C) & v1_funct_2(C,A,B) & m2_relset_1(C,A,B) -> m1_fraenkel(k2_setwiseo(k1_zfmisc_1(k2_zfmisc_1(A,B)),C),A,B))) # label(t10_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2896 (all A all B (v1_finset_1(A) & v1_finset_1(B) -> v1_fraenkel(k1_funct_2(A,B)) & v1_finset_1(k1_funct_2(A,B)))) # label(fc2_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2897 (all A ((exists B (A = f2_s14_fraenkel(B) & p1_s14_fraenkel(B) & p2_s14_fraenkel(B) & m1_subset_1(B,f1_s14_fraenkel))) <-> r2_hidden(A,a_0_26_fraenkel))) # label(fraenkel_a_0_26_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2898 (all A (m1_subset_1(A,f1_s5_fraenkel) -> f3_s5_fraenkel(A) = f2_s5_fraenkel(A))) -> a_0_9_fraenkel = a_0_8_fraenkel # label(s5_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2899 (all A (r2_hidden(A,a_0_3_fraenkel) <-> (exists B exists C (m1_subset_1(C,f2_s2_fraenkel) & p2_s2_fraenkel(B,C) & A = f3_s2_fraenkel(B,C) & m1_subset_1(B,f1_s2_fraenkel))))) # label(fraenkel_a_0_3_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2900 $T # label(t12_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2901 (all A (m1_subset_1(A,f1_s1_fraenkel) -> (p1_s1_fraenkel(A) -> p2_s1_fraenkel(A)))) -> r1_tarski(a_0_0_fraenkel,a_0_1_fraenkel) # label(s1_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2902 (all A ((exists B (p2_s3_fraenkel(B) & A = f2_s3_fraenkel(B) & m1_subset_1(B,f1_s3_fraenkel))) <-> r2_hidden(A,a_0_5_fraenkel))) # label(fraenkel_a_0_5_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2903 (all A (-v1_xboole_0(A) -> (all B all C all D (m2_fraenkel(D,B,A,k1_fraenkel(B,A)) -> k7_relat_1(D,C) = k7_relat_1(D,k3_xboole_0(B,C)))))) # label(t15_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2904 (all A ((exists B (p2_s1_fraenkel(B) & A = f2_s1_fraenkel(B) & m1_subset_1(B,f1_s1_fraenkel))) <-> r2_hidden(A,a_0_1_fraenkel))) # label(fraenkel_a_0_1_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2905 (all A (m1_subset_1(A,f1_s16_fraenkel) -> (all B (m1_subset_1(B,f2_s16_fraenkel) -> -((all C (m1_subset_1(C,f1_s16_fraenkel) -> -(p2_s16_fraenkel(C,B) & f3_s16_fraenkel(C,B) = f3_s16_fraenkel(A,B)))) & p1_s16_fraenkel(A,B)))))) -> r1_tarski(a_0_30_fraenkel,a_0_31_fraenkel) # label(s16_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2906 (all A (r2_hidden(A,a_0_2_fraenkel) <-> (exists B exists C (m1_subset_1(C,f2_s2_fraenkel) & A = f3_s2_fraenkel(B,C) & p1_s2_fraenkel(B,C) & m1_subset_1(B,f1_s2_fraenkel))))) # label(fraenkel_a_0_2_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2907 (all A ((exists B exists C (m1_subset_1(C,f2_s4_fraenkel) & A = f3_s4_fraenkel(B,C) & p2_s4_fraenkel(B,C) & m1_subset_1(B,f1_s4_fraenkel))) <-> r2_hidden(A,a_0_7_fraenkel))) # label(fraenkel_a_0_7_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2908 (all A (-v1_xboole_0(A) -> (all B all C all D (r1_tarski(D,A) & r1_tarski(C,B) -> (all E (m1_subset_1(E,k1_funct_2(C,D)) -> m2_relset_1(E,B,A) & v1_funct_1(E))) | k1_funct_2(C,D) = k1_xboole_0)))) # label(t6_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2909 (all A ((all B (r2_hidden(B,A) -> v1_funct_1(B) & v1_relat_1(B))) <-> v1_fraenkel(A))) # label(d1_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2910 (all A ((exists B (p1_s10_fraenkel(B) & A = B & m1_subset_1(B,f1_s10_fraenkel))) <-> r2_hidden(A,a_0_18_fraenkel))) # label(fraenkel_a_0_18_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2911 $T # label(t1_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2912 v1_finset_1(f3_s25_fraenkel) & v1_finset_1(f4_s25_fraenkel) & (all A (m2_fraenkel(A,f1_s25_fraenkel,f2_s25_fraenkel,k1_fraenkel(f1_s25_fraenkel,f2_s25_fraenkel)) -> (all B (m2_fraenkel(B,f1_s25_fraenkel,f2_s25_fraenkel,k1_fraenkel(f1_s25_fraenkel,f2_s25_fraenkel)) -> (k7_relat_1(B,f3_s25_fraenkel) = k7_relat_1(A,f3_s25_fraenkel) -> f5_s25_fraenkel(A) = f5_s25_fraenkel(B)))))) -> v1_finset_1(a_0_40_fraenkel) # label(s25_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2913 (exists A (-v1_xboole_0(A) & v1_fraenkel(A))) # label(rc1_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2914 (all A (m1_subset_1(A,f1_s8_fraenkel) -> (all B (m1_subset_1(B,f2_s8_fraenkel) -> f3_s8_fraenkel(A,B) = f3_s8_fraenkel(B,A))))) & (all A (m1_subset_1(A,f1_s8_fraenkel) -> (all B (m1_subset_1(B,f2_s8_fraenkel) -> (p2_s8_fraenkel(A,B) <-> p1_s8_fraenkel(A,B)))))) -> a_0_15_fraenkel = a_0_14_fraenkel # label(s8_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2915 (all A (m1_subset_1(A,f1_s4_fraenkel) -> (all B (m1_subset_1(B,f2_s4_fraenkel) -> (p1_s4_fraenkel(A,B) <-> p2_s4_fraenkel(A,B)))))) -> a_0_7_fraenkel = a_0_6_fraenkel # label(s4_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2916 (all A ((exists B exists C (m1_subset_1(C,f2_s20_fraenkel) & f4_s20_fraenkel = C & p1_s20_fraenkel(B,C) & f3_s20_fraenkel(B,C) = A & m1_subset_1(B,f1_s20_fraenkel))) <-> r2_hidden(A,a_0_36_fraenkel))) # label(fraenkel_a_0_36_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2917 (all A (v1_fraenkel(A) -> (all B (r1_tarski(B,A) -> v1_fraenkel(B))))) # label(t17_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2918 (all A (r2_hidden(A,a_0_9_fraenkel) <-> (exists B (m1_subset_1(B,f1_s5_fraenkel) & p1_s5_fraenkel(B) & A = f3_s5_fraenkel(B))))) # label(fraenkel_a_0_9_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2919 (all A all B (-v1_xboole_0(B) -> m1_fraenkel(k1_fraenkel(A,B),A,B))) # label(dt_k1_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2920 $T # label(t4_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2921 (all A ((exists B (m1_subset_1(B,f1_s14_fraenkel) & B = A & p2_s14_fraenkel(B))) <-> r2_hidden(A,a_0_25_fraenkel))) # label(fraenkel_a_0_25_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2922 (all A (m1_subset_1(A,f1_s6_fraenkel) -> (p1_s6_fraenkel(A) -> f2_s6_fraenkel(A) = f3_s6_fraenkel(A)))) -> a_0_11_fraenkel = a_0_10_fraenkel # label(s6_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2923 $T # label(t9_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2924 (all A (r2_hidden(A,a_0_24_fraenkel) <-> (exists B (m1_subset_1(B,f1_s14_fraenkel) & r2_hidden(B,a_0_25_fraenkel) & p1_s14_fraenkel(B) & A = f2_s14_fraenkel(B))))) # label(fraenkel_a_0_24_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2925 (all A ((exists B exists C (A = f3_s16_fraenkel(B,C) & p2_s16_fraenkel(B,C) & m1_subset_1(C,f2_s16_fraenkel) & m1_subset_1(B,f1_s16_fraenkel))) <-> r2_hidden(A,a_0_31_fraenkel))) # label(fraenkel_a_0_31_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2926 (all A (r2_hidden(A,a_0_32_fraenkel) <-> (exists B (A = f3_s17_fraenkel(B) & p1_s17_fraenkel(B) & r2_hidden(f3_s17_fraenkel(B),f2_s17_fraenkel) & m1_subset_1(B,f1_s17_fraenkel))))) # label(fraenkel_a_0_32_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2927 (all A ((exists B (f2_s3_fraenkel(B) = A & p1_s3_fraenkel(B) & m1_subset_1(B,f1_s3_fraenkel))) <-> r2_hidden(A,a_0_4_fraenkel))) # label(fraenkel_a_0_4_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2928 (all A all B exists C m1_fraenkel(C,A,B)) # label(existence_m1_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2929 (all A (m1_subset_1(A,f1_s26_fraenkel) -> -(r2_hidden(A,f3_s26_fraenkel) & (all B (m1_subset_1(B,f2_s26_fraenkel) -> -p1_s26_fraenkel(A,B)))))) -> (exists A (v1_funct_2(A,f1_s26_fraenkel,f2_s26_fraenkel) & m2_relset_1(A,f1_s26_fraenkel,f2_s26_fraenkel) & (all B (m1_subset_1(B,f1_s26_fraenkel) -> (r2_hidden(B,f3_s26_fraenkel) -> p1_s26_fraenkel(B,k8_funct_2(f1_s26_fraenkel,f2_s26_fraenkel,A,B))))) & v1_funct_1(A))) # label(s26_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2930 (all A (m1_subset_1(A,f1_s2_fraenkel) -> (all B (m1_subset_1(B,f2_s2_fraenkel) -> (p1_s2_fraenkel(A,B) -> p2_s2_fraenkel(A,B)))))) -> r1_tarski(a_0_2_fraenkel,a_0_3_fraenkel) # label(s2_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2931 (all A (m1_subset_1(A,f1_s27_fraenkel) -> -((all B (m1_subset_1(B,f2_s27_fraenkel) -> -p1_s27_fraenkel(A,B))) & r2_hidden(A,f3_s27_fraenkel)))) -> (exists A (m2_fraenkel(A,f1_s27_fraenkel,f2_s27_fraenkel,k1_fraenkel(f1_s27_fraenkel,f2_s27_fraenkel)) & (all B (m1_subset_1(B,f1_s27_fraenkel) -> (r2_hidden(B,f3_s27_fraenkel) -> p1_s27_fraenkel(B,k8_funct_2(f1_s27_fraenkel,f2_s27_fraenkel,A,B))))))) # label(s27_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2932 (all A ((exists B (f2_s6_fraenkel(B) = A & p1_s6_fraenkel(B) & m1_subset_1(B,f1_s6_fraenkel))) <-> r2_hidden(A,a_0_10_fraenkel))) # label(fraenkel_a_0_10_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2933 (all A ((exists B (m1_subset_1(B,f1_s21_fraenkel) & r2_hidden(B,f2_s21_fraenkel) & A = f3_s21_fraenkel(B))) <-> r2_hidden(A,a_0_38_fraenkel))) # label(fraenkel_a_0_38_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2934 (all A all B all C (m1_fraenkel(C,A,B) -> v1_fraenkel(C) & -v1_xboole_0(C))) # label(dt_m1_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2935 (all A (r2_hidden(A,a_0_30_fraenkel) <-> (exists B exists C (m1_subset_1(C,f2_s16_fraenkel) & p1_s16_fraenkel(B,C) & A = f3_s16_fraenkel(B,C) & m1_subset_1(B,f1_s16_fraenkel))))) # label(fraenkel_a_0_30_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2936 (all A all B v1_fraenkel(k1_funct_2(A,B))) # label(fc1_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2937 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_fraenkel(k1_tarski(A)))) # label(t8_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2938 (all A ((exists B (m1_subset_1(B,f1_s18_fraenkel) & A = f3_s18_fraenkel(B) & p1_s18_fraenkel(B) & -r2_hidden(f3_s18_fraenkel(B),f2_s18_fraenkel))) <-> r2_hidden(A,a_0_33_fraenkel))) # label(fraenkel_a_0_33_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2939 (all A (m1_subset_1(A,f1_s19_fraenkel) -> (all B (m1_subset_1(B,f2_s19_fraenkel) -> (p2_s19_fraenkel(A,B) <-> p1_s19_fraenkel(A,B) & f4_s19_fraenkel = B))))) -> a_0_35_fraenkel = a_0_34_fraenkel # label(s19_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2940 $T # label(t2_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2941 (all A ((exists B (p1_s5_fraenkel(B) & A = f2_s5_fraenkel(B) & m1_subset_1(B,f1_s5_fraenkel))) <-> r2_hidden(A,a_0_8_fraenkel))) # label(fraenkel_a_0_8_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2942 (all A (r2_hidden(A,a_0_11_fraenkel) <-> (exists B (f3_s6_fraenkel(B) = A & p1_s6_fraenkel(B) & m1_subset_1(B,f1_s6_fraenkel))))) # label(fraenkel_a_0_11_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2943 (all A (r2_hidden(A,a_0_16_fraenkel) <-> (exists B (m1_subset_1(B,f1_s9_fraenkel) & k8_funct_2(f1_s9_fraenkel,f2_s9_fraenkel,f4_s9_fraenkel,B) = A & p1_s9_fraenkel(B) & r2_hidden(B,f3_s9_fraenkel))))) # label(fraenkel_a_0_16_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2944 (all A ((exists B exists C (m1_subset_1(C,f2_s19_fraenkel) & f3_s19_fraenkel(B,C) = A & p2_s19_fraenkel(B,C) & m1_subset_1(B,f1_s19_fraenkel))) <-> r2_hidden(A,a_0_34_fraenkel))) # label(fraenkel_a_0_34_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2945 (all A (r2_hidden(A,a_0_6_fraenkel) <-> (exists B exists C (m1_subset_1(B,f1_s4_fraenkel) & f3_s4_fraenkel(B,C) = A & p1_s4_fraenkel(B,C) & m1_subset_1(C,f2_s4_fraenkel))))) # label(fraenkel_a_0_6_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2946 (all A ((exists B (p1_s20_fraenkel(B,f4_s20_fraenkel) & f3_s20_fraenkel(B,f4_s20_fraenkel) = A & m1_subset_1(B,f1_s20_fraenkel))) <-> r2_hidden(A,a_0_37_fraenkel))) # label(fraenkel_a_0_37_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2947 v1_finset_1(f2_s21_fraenkel) -> v1_finset_1(a_0_38_fraenkel) # label(s21_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2948 (all A all B all C (m1_fraenkel(C,A,B) & -v1_xboole_0(B) -> (exists D m2_fraenkel(D,A,B,C)))) # label(existence_m2_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2949 (all A (v1_fraenkel(A) -> (all B (m1_subset_1(B,A) -> v1_funct_1(B) & v1_relat_1(B))))) # label(cc1_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2950 $T # label(t7_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2951 (all A (r2_hidden(A,a_0_21_fraenkel) <-> (exists B (A = B & p2_s13_fraenkel(B) & r2_hidden(B,a_0_22_fraenkel) & m1_subset_1(B,f3_s13_fraenkel))))) # label(fraenkel_a_0_21_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2952 (all A ((exists B (m1_subset_1(B,f1_s19_fraenkel) & f3_s19_fraenkel(B,f4_s19_fraenkel) = A & p1_s19_fraenkel(B,f4_s19_fraenkel))) <-> r2_hidden(A,a_0_35_fraenkel))) # label(fraenkel_a_0_35_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2953 $T # label(t13_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2954 (all A all B (-v1_xboole_0(B) -> k1_fraenkel(A,B) = k1_funct_2(A,B))) # label(redefinition_k1_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2955 (all A (m1_subset_1(A,f1_s23_fraenkel) -> p1_s23_fraenkel(A,A))) & (all A (m1_subset_1(A,f1_s23_fraenkel) -> (all B (m1_subset_1(B,f1_s23_fraenkel) -> (all C (m1_subset_1(C,f1_s23_fraenkel) -> (p1_s23_fraenkel(B,C) & p1_s23_fraenkel(A,B) -> p1_s23_fraenkel(A,C)))))))) -> (all A (m1_subset_1(A,f1_s23_fraenkel) -> -(r2_hidden(A,f2_s23_fraenkel) & (all B (m1_subset_1(B,f1_s23_fraenkel) -> -((all C (m1_subset_1(C,f1_s23_fraenkel) -> (r2_hidden(C,f2_s23_fraenkel) & p1_s23_fraenkel(C,B) -> p1_s23_fraenkel(B,C)))) & p1_s23_fraenkel(B,A) & r2_hidden(B,f2_s23_fraenkel))))))) # label(s23_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2956 (all A ((exists B (p1_s1_fraenkel(B) & A = f2_s1_fraenkel(B) & m1_subset_1(B,f1_s1_fraenkel))) <-> r2_hidden(A,a_0_0_fraenkel))) # label(fraenkel_a_0_0_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2957 (all A (r2_hidden(A,a_0_14_fraenkel) <-> (exists B exists C (m1_subset_1(B,f1_s8_fraenkel) & m1_subset_1(C,f2_s8_fraenkel) & f3_s8_fraenkel(B,C) = A & p1_s8_fraenkel(B,C))))) # label(fraenkel_a_0_14_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2958 (all A all B all C (m1_fraenkel(C,A,B) & -v1_xboole_0(B) -> (all D (m2_fraenkel(D,A,B,C) -> v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B))))) # label(dt_m2_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2959 (all A ((exists B (m2_fraenkel(B,f1_s25_fraenkel,f2_s25_fraenkel,k1_fraenkel(f1_s25_fraenkel,f2_s25_fraenkel)) & f5_s25_fraenkel(B) = A & r1_tarski(k2_funct_2(f1_s25_fraenkel,f2_s25_fraenkel,B,f3_s25_fraenkel),f4_s25_fraenkel))) <-> r2_hidden(A,a_0_40_fraenkel))) # label(fraenkel_a_0_40_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2960 (all A all B all C (-v1_xboole_0(C) & v1_fraenkel(C) -> (m1_fraenkel(C,A,B) <-> (all D (m1_subset_1(D,C) -> v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D)))))) # label(d2_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2961 (all A ((exists B exists C (p1_s15_fraenkel(B,C) & r2_hidden(B,a_0_28_fraenkel) & f3_s15_fraenkel(B,C) = A & m1_subset_1(C,f2_s15_fraenkel) & m1_subset_1(B,f1_s15_fraenkel))) <-> r2_hidden(A,a_0_27_fraenkel))) # label(fraenkel_a_0_27_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2962 (all A all B r1_tarski(k1_funct_2(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B)))) # label(t5_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2963 (all A (m1_subset_1(A,f1_s9_fraenkel) -> (r2_hidden(A,f3_s9_fraenkel) -> (p2_s9_fraenkel(A) <-> p1_s9_fraenkel(A))))) & k7_relat_1(f4_s9_fraenkel,f3_s9_fraenkel) = k7_relat_1(f5_s9_fraenkel,f3_s9_fraenkel) -> a_0_17_fraenkel = a_0_16_fraenkel # label(s9_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2964 (all A (r2_hidden(A,a_0_13_fraenkel) <-> (exists B exists C (m1_subset_1(B,f1_s7_fraenkel) & f4_s7_fraenkel(B,C) = A & p1_s7_fraenkel(B,C) & m1_subset_1(C,f2_s7_fraenkel))))) # label(fraenkel_a_0_13_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2965 (all A (m1_subset_1(A,f1_s3_fraenkel) -> (p2_s3_fraenkel(A) <-> p1_s3_fraenkel(A)))) -> a_0_5_fraenkel = a_0_4_fraenkel # label(s3_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2966 (all A ((exists B exists C (m1_subset_1(B,f1_s13_fraenkel) & A = f4_s13_fraenkel(B,C) & p2_s13_fraenkel(f4_s13_fraenkel(B,C)) & p1_s13_fraenkel(B,C) & m1_subset_1(C,f2_s13_fraenkel))) <-> r2_hidden(A,a_0_23_fraenkel))) # label(fraenkel_a_0_23_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2967 v1_finset_1(f4_s22_fraenkel) & v1_finset_1(f3_s22_fraenkel) -> v1_finset_1(a_0_39_fraenkel) # label(s22_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2968 (all A (r2_hidden(A,a_0_28_fraenkel) <-> (exists B (m1_subset_1(B,f1_s15_fraenkel) & B = A & p2_s15_fraenkel(B))))) # label(fraenkel_a_0_28_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2969 (all A ((exists B exists C (m1_subset_1(C,f2_s15_fraenkel) & p1_s15_fraenkel(B,C) & p2_s15_fraenkel(B) & f3_s15_fraenkel(B,C) = A & m1_subset_1(B,f1_s15_fraenkel))) <-> r2_hidden(A,a_0_29_fraenkel))) # label(fraenkel_a_0_29_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2970 (all A (-v1_xboole_0(A) -> (all B all C all D (r1_tarski(C,B) & r1_tarski(D,A) -> (all E (m1_subset_1(E,k1_funct_2(C,D)) -> (exists F (k7_relat_1(F,C) = E & m2_fraenkel(F,B,A,k1_fraenkel(B,A)))))) | k1_funct_2(C,D) = k1_xboole_0)))) # label(t14_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2971 (all A ((exists B exists C (m1_subset_1(C,f2_s11_fraenkel) & p1_s11_fraenkel(B,C) & f3_s11_fraenkel(B,C) = A & m1_subset_1(B,f1_s11_fraenkel))) <-> r2_hidden(A,a_0_19_fraenkel))) # label(fraenkel_a_0_19_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2972 (all A (r2_hidden(A,a_0_39_fraenkel) <-> (exists B exists C (m1_subset_1(C,f2_s22_fraenkel) & A = f5_s22_fraenkel(B,C) & r2_hidden(C,f4_s22_fraenkel) & r2_hidden(B,f3_s22_fraenkel) & m1_subset_1(B,f1_s22_fraenkel))))) # label(fraenkel_a_0_39_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2973 (all A (r2_hidden(A,a_0_12_fraenkel) <-> (exists B exists C (m1_subset_1(B,f1_s7_fraenkel) & m1_subset_1(C,f2_s7_fraenkel) & A = f3_s7_fraenkel(B,C) & p1_s7_fraenkel(B,C))))) # label(fraenkel_a_0_12_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2974 (all A ((exists B exists C (m1_subset_1(B,f1_s8_fraenkel) & A = f3_s8_fraenkel(C,B) & p2_s8_fraenkel(B,C) & m1_subset_1(C,f2_s8_fraenkel))) <-> r2_hidden(A,a_0_15_fraenkel))) # label(fraenkel_a_0_15_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2975 (all A (-v1_xboole_0(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 (v1_funct_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> (all E (k7_relat_1(C,E) = k7_relat_1(D,E) -> (all F (m1_subset_1(F,A) -> (r2_hidden(F,E) -> k8_funct_2(A,B,C,F) = k8_funct_2(A,B,D,F)))))))))))))) # label(t3_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2976 (all A (r2_hidden(A,a_0_20_fraenkel) <-> (exists B exists C (m1_subset_1(B,f1_s12_fraenkel) & m1_subset_1(C,f2_s12_fraenkel) & p1_s12_fraenkel(B,C) & A = f3_s12_fraenkel(B,C))))) # label(fraenkel_a_0_20_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2977 (all A (m1_subset_1(A,f1_s7_fraenkel) -> (all B (m1_subset_1(B,f2_s7_fraenkel) -> f3_s7_fraenkel(A,B) = f4_s7_fraenkel(A,B))))) -> a_0_13_fraenkel = a_0_12_fraenkel # label(s7_fraenkel) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2978 (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].
15.81/15.35	2979 $T # label(dt_k1_numbers) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2980 $T # label(dt_k3_numbers) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2981 $T # label(dt_k4_numbers) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2982 $T # label(dt_k2_numbers) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2983 (all A (-v1_xboole_0(A) & v1_xreal_0(A) & -v2_xreal_0(A) -> v1_xcmplx_0(A) & v1_xreal_0(A) & v3_xreal_0(A))) # label(cc6_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2984 (all A all B (v1_xreal_0(B) & v1_xreal_0(A) -> v1_xcmplx_0(k6_xcmplx_0(A,B)) & v1_xreal_0(k6_xcmplx_0(A,B)))) # label(fc5_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2985 (all A all B (-v2_xreal_0(B) & v1_xreal_0(B) & v2_xreal_0(A) & v1_xreal_0(A) -> v1_xcmplx_0(k6_xcmplx_0(A,B)) & v1_xreal_0(k6_xcmplx_0(A,B)) & v2_xreal_0(k6_xcmplx_0(A,B)) & -v3_xreal_0(k6_xcmplx_0(A,B)) & -v1_xboole_0(k6_xcmplx_0(A,B)))) # label(fc17_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2986 (exists A (v1_xboole_0(A) & -v2_xreal_0(A) & -v3_xreal_0(A) & v1_xreal_0(A) & v1_xcmplx_0(A))) # label(rc4_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2987 (all A all B (-v3_xreal_0(B) & v1_xreal_0(B) & -v2_xreal_0(A) & v1_xreal_0(A) -> v1_xreal_0(k3_xcmplx_0(B,A)) & -v2_xreal_0(k3_xcmplx_0(B,A)) & v1_xcmplx_0(k3_xcmplx_0(B,A)))) # label(fc22_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2988 (all A (v1_xreal_0(A) -> (v3_xreal_0(A) <-> -r1_xreal_0(np__0,A)))) # label(d4_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2989 (all A all B (v1_xreal_0(A) & v1_xreal_0(B) & -v2_xreal_0(B) & v2_xreal_0(A) -> v1_xcmplx_0(k6_xcmplx_0(B,A)) & v1_xreal_0(k6_xcmplx_0(B,A)) & -v2_xreal_0(k6_xcmplx_0(B,A)) & v3_xreal_0(k6_xcmplx_0(B,A)) & -v1_xboole_0(k6_xcmplx_0(B,A)))) # label(fc18_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2990 (all A (v1_xreal_0(A) & v3_xreal_0(A) -> -v2_xreal_0(A) & v1_xreal_0(A) & v1_xcmplx_0(A) & -v1_xboole_0(A))) # label(cc5_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2991 (all A all B (v1_xreal_0(B) & -v3_xreal_0(B) & v2_xreal_0(A) & v1_xreal_0(A) -> -v1_xboole_0(k2_xcmplx_0(B,A)) & v1_xcmplx_0(k2_xcmplx_0(B,A)) & v2_xreal_0(k2_xcmplx_0(B,A)) & -v3_xreal_0(k2_xcmplx_0(B,A)) & v1_xreal_0(k2_xcmplx_0(B,A)))) # label(fc10_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2992 (all A (v1_xreal_0(A) & v2_xreal_0(A) -> -v3_xreal_0(A) & v1_xreal_0(A) & v1_xcmplx_0(A) & -v1_xboole_0(A))) # label(cc3_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2993 (exists A (v1_xcmplx_0(A) & -v3_xreal_0(A) & v2_xreal_0(A) & v1_xreal_0(A) & -v1_xboole_0(A))) # label(rc2_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2994 (exists A (v1_xcmplx_0(A) & v1_xreal_0(A))) # label(rc1_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2995 (all A all B (v1_xreal_0(A) & v1_xreal_0(B) & -v2_xreal_0(B) & -v2_xreal_0(A) -> -v3_xreal_0(k3_xcmplx_0(A,B)) & v1_xreal_0(k3_xcmplx_0(A,B)) & v1_xcmplx_0(k3_xcmplx_0(A,B)))) # label(fc23_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2996 (all A (v1_xboole_0(A) & v1_xreal_0(A) -> -v2_xreal_0(A) & -v3_xreal_0(A) & v1_xreal_0(A) & v1_xcmplx_0(A))) # label(cc7_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2997 (all A (v1_xreal_0(A) & -v3_xreal_0(A) -> v1_xreal_0(k4_xcmplx_0(A)) & -v2_xreal_0(k4_xcmplx_0(A)) & v1_xcmplx_0(k4_xcmplx_0(A)))) # label(fc14_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2998 (all A all B (-v3_xreal_0(B) & v1_xreal_0(B) & -v3_xreal_0(A) & v1_xreal_0(A) -> v1_xcmplx_0(k2_xcmplx_0(A,B)) & v1_xreal_0(k2_xcmplx_0(A,B)) & -v3_xreal_0(k2_xcmplx_0(A,B)))) # label(fc7_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	2999 (all A all B (v1_xreal_0(A) & v1_xreal_0(B) & -v3_xreal_0(B) & -v3_xreal_0(A) -> -v3_xreal_0(k3_xcmplx_0(A,B)) & v1_xreal_0(k3_xcmplx_0(A,B)) & v1_xcmplx_0(k3_xcmplx_0(A,B)))) # label(fc24_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3000 (all A (v1_xreal_0(A) & -v3_xreal_0(A) & -v1_xboole_0(A) -> v1_xcmplx_0(A) & v1_xreal_0(A) & v2_xreal_0(A))) # label(cc4_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3001 (all A all B (v1_xreal_0(A) & -v3_xreal_0(B) & v1_xreal_0(B) & -v2_xreal_0(A) -> v1_xcmplx_0(k3_xcmplx_0(A,B)) & v1_xreal_0(k3_xcmplx_0(A,B)) & -v2_xreal_0(k3_xcmplx_0(A,B)))) # label(fc21_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3002 (all A (v1_xreal_0(A) & -v2_xreal_0(A) -> v1_xcmplx_0(k4_xcmplx_0(A)) & -v3_xreal_0(k4_xcmplx_0(A)) & v1_xreal_0(k4_xcmplx_0(A)))) # label(fc13_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3003 (all A all B (v1_xreal_0(A) & -v3_xreal_0(A) & -v3_xreal_0(B) & v1_xreal_0(B) -> v1_xcmplx_0(k7_xcmplx_0(A,B)) & -v3_xreal_0(k7_xcmplx_0(A,B)) & v1_xreal_0(k7_xcmplx_0(A,B)))) # label(fc29_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3004 (all A all B (v1_xreal_0(A) & v2_xreal_0(A) & v1_xreal_0(B) & -v3_xreal_0(B) -> v1_xreal_0(k2_xcmplx_0(A,B)) & -v3_xreal_0(k2_xcmplx_0(A,B)) & v2_xreal_0(k2_xcmplx_0(A,B)) & v1_xcmplx_0(k2_xcmplx_0(A,B)) & -v1_xboole_0(k2_xcmplx_0(A,B)))) # label(fc9_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3005 (all A all B (v1_xreal_0(A) & -v3_xreal_0(A) & v1_xreal_0(B) & -v2_xreal_0(B) -> -v2_xreal_0(k7_xcmplx_0(B,A)) & v1_xreal_0(k7_xcmplx_0(B,A)) & v1_xcmplx_0(k7_xcmplx_0(B,A)))) # label(fc28_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3006 (all A (v1_xreal_0(A) -> (v2_xreal_0(A) <-> -r1_xreal_0(A,np__0)))) # label(d3_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3007 (all A (r2_hidden(A,k1_numbers) <-> v1_xreal_0(A))) # label(d1_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3008 (all A (-v2_xreal_0(A) & v1_xreal_0(A) -> -v2_xreal_0(k5_xcmplx_0(A)) & v1_xreal_0(k5_xcmplx_0(A)) & v1_xcmplx_0(k5_xcmplx_0(A)))) # label(fc25_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3009 (all A all B (v3_xreal_0(A) & -v2_xreal_0(B) & v1_xreal_0(B) & v1_xreal_0(A) -> v1_xcmplx_0(k2_xcmplx_0(A,B)) & v1_xreal_0(k2_xcmplx_0(A,B)) & v3_xreal_0(k2_xcmplx_0(A,B)) & -v2_xreal_0(k2_xcmplx_0(A,B)) & -v1_xboole_0(k2_xcmplx_0(A,B)))) # label(fc11_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3010 (all A all B (v1_xreal_0(A) & v1_xreal_0(B) -> v1_xreal_0(k2_xcmplx_0(A,B)) & v1_xcmplx_0(k2_xcmplx_0(A,B)))) # label(fc3_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3011 (all A all B (v1_xreal_0(B) & -v2_xreal_0(B) & v3_xreal_0(A) & v1_xreal_0(A) -> v1_xreal_0(k2_xcmplx_0(B,A)) & -v2_xreal_0(k2_xcmplx_0(B,A)) & v3_xreal_0(k2_xcmplx_0(B,A)) & v1_xcmplx_0(k2_xcmplx_0(B,A)) & -v1_xboole_0(k2_xcmplx_0(B,A)))) # label(fc12_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3012 (all A all B (-v3_xreal_0(B) & v1_xreal_0(B) & v3_xreal_0(A) & v1_xreal_0(A) -> v1_xcmplx_0(k6_xcmplx_0(B,A)) & v1_xreal_0(k6_xcmplx_0(B,A)) & v2_xreal_0(k6_xcmplx_0(B,A)) & -v3_xreal_0(k6_xcmplx_0(B,A)) & -v1_xboole_0(k6_xcmplx_0(B,A)))) # label(fc20_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3013 (all A (v1_xreal_0(A) & -v3_xreal_0(A) & -v2_xreal_0(A) -> v1_xboole_0(A) & v1_xreal_0(A) & v1_xcmplx_0(A))) # label(cc8_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3014 (all A all B (v1_xreal_0(B) & v1_xreal_0(A) -> v1_xcmplx_0(k7_xcmplx_0(A,B)) & v1_xreal_0(k7_xcmplx_0(A,B)))) # label(fc6_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3015 (all A (v1_xreal_0(A) -> v1_xreal_0(k4_xcmplx_0(A)) & v1_xcmplx_0(k4_xcmplx_0(A)))) # label(fc1_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3016 (all A all B (v1_xreal_0(A) & v1_xreal_0(B) & -v2_xreal_0(B) & -v3_xreal_0(A) -> -v2_xreal_0(k6_xcmplx_0(B,A)) & v1_xreal_0(k6_xcmplx_0(B,A)) & v1_xcmplx_0(k6_xcmplx_0(B,A)))) # label(fc16_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3017 (exists A (v1_xcmplx_0(A) & v1_xreal_0(A) & v3_xreal_0(A) & -v2_xreal_0(A) & -v1_xboole_0(A))) # label(rc3_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3018 (all A all B (v1_xreal_0(A) & -v2_xreal_0(B) & v1_xreal_0(B) & -v2_xreal_0(A) -> -v2_xreal_0(k2_xcmplx_0(A,B)) & v1_xreal_0(k2_xcmplx_0(A,B)) & v1_xcmplx_0(k2_xcmplx_0(A,B)))) # label(fc8_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3019 (all A all B (v1_xreal_0(B) & v1_xreal_0(A) -> r1_xreal_0(A,A))) # label(reflexivity_r1_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3020 (all A (v1_xreal_0(A) -> v1_xreal_0(k5_xcmplx_0(A)) & v1_xcmplx_0(k5_xcmplx_0(A)))) # label(fc2_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3021 (all A all B (v1_xreal_0(A) & v1_xreal_0(B) -> v1_xcmplx_0(k3_xcmplx_0(A,B)) & v1_xreal_0(k3_xcmplx_0(A,B)))) # label(fc4_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3022 (all A all B (v1_xreal_0(A) & -v2_xreal_0(B) & v1_xreal_0(B) & -v3_xreal_0(A) -> -v3_xreal_0(k6_xcmplx_0(A,B)) & v1_xreal_0(k6_xcmplx_0(A,B)) & v1_xcmplx_0(k6_xcmplx_0(A,B)))) # label(fc15_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3023 (all A all B (v1_xreal_0(A) & v1_xreal_0(B) & -v2_xreal_0(B) & -v2_xreal_0(A) -> -v3_xreal_0(k7_xcmplx_0(A,B)) & v1_xreal_0(k7_xcmplx_0(A,B)) & v1_xcmplx_0(k7_xcmplx_0(A,B)))) # label(fc30_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3024 (all A (v1_xreal_0(A) -> v1_xcmplx_0(A))) # label(cc2_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3025 (all A (v1_xreal_0(A) -> (all B (v1_xreal_0(B) -> (r2_hidden(B,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2)) & r2_hidden(A,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2)) -> (r1_xreal_0(A,B) <-> (exists C ((exists D (k4_tarski(np__0,D) = B & r1_arytm_2(D,C) & A = k4_tarski(np__0,C) & m1_subset_1(D,k2_arytm_2))) & m1_subset_1(C,k2_arytm_2))))) & -(-(r2_hidden(A,k2_arytm_2) & r2_hidden(B,k2_arytm_2)) & -(r2_hidden(B,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2)) & r2_hidden(A,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))) & -(r2_hidden(B,k2_arytm_2) & r2_hidden(A,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2)) <-> r1_xreal_0(A,B))) & (r2_hidden(B,k2_arytm_2) & r2_hidden(A,k2_arytm_2) -> (r1_xreal_0(A,B) <-> (exists C (m1_subset_1(C,k2_arytm_2) & (exists D (m1_subset_1(D,k2_arytm_2) & C = A & r1_arytm_2(C,D) & D = B)))))))))) # label(d2_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3026 (all A all B (v1_xreal_0(A) & v1_xreal_0(B) & -v3_xreal_0(B) & v3_xreal_0(A) -> -v1_xboole_0(k6_xcmplx_0(A,B)) & v1_xreal_0(k6_xcmplx_0(A,B)) & v3_xreal_0(k6_xcmplx_0(A,B)) & -v2_xreal_0(k6_xcmplx_0(A,B)) & v1_xcmplx_0(k6_xcmplx_0(A,B)))) # label(fc19_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3027 (all A all B (-v3_xreal_0(A) & -v2_xreal_0(B) & v1_xreal_0(B) & v1_xreal_0(A) -> v1_xcmplx_0(k7_xcmplx_0(A,B)) & -v2_xreal_0(k7_xcmplx_0(A,B)) & v1_xreal_0(k7_xcmplx_0(A,B)))) # label(fc27_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3028 (all A (v1_xreal_0(A) & -v3_xreal_0(A) -> v1_xcmplx_0(k5_xcmplx_0(A)) & v1_xreal_0(k5_xcmplx_0(A)) & -v3_xreal_0(k5_xcmplx_0(A)))) # label(fc26_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3029 (all A all B (v1_xreal_0(B) & v1_xreal_0(A) -> r1_xreal_0(A,B) | r1_xreal_0(B,A))) # label(connectedness_r1_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3030 (all A (v4_ordinal2(A) -> v1_xreal_0(A))) # label(cc1_xreal_0) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3031 (all A (v1_int_1(A) -> (all B (v1_xreal_0(B) -> (r1_xreal_0(A,B) -> r1_xreal_0(A,k1_int_1(B))))))) # label(t81_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3032 $T # label(t10_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3033 (all A (v1_xreal_0(A) -> -(-r1_xreal_0(A,k1_int_1(A)) & v1_int_1(A)) & -(-v1_int_1(A) & r1_xreal_0(A,k1_int_1(A))))) # label(t48_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3034 (all A (v1_xreal_0(A) -> v1_int_1(k2_int_1(A)))) # label(dt_k2_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3035 (all A (v1_xreal_0(A) -> -(-r1_xreal_0(k4_int_1(A),np__0) & v1_int_1(A)) & -(r1_xreal_0(k4_int_1(A),np__0) & -v1_int_1(A)))) # label(t72_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3036 (all A (v1_xreal_0(A) -> (v1_int_1(A) <-> np__0 = k4_int_1(A)))) # label(t71_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3037 $T # label(t31_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3038 (all A (v1_xreal_0(A) -> k4_int_1(A) = k3_int_1(A))) # label(redefinition_k4_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3039 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (all C (v1_int_1(C) -> (all D (v1_int_1(D) -> (all E (v1_int_1(E) -> (r1_int_1(D,E,C) & r1_int_1(A,B,C) -> r1_int_1(k2_xcmplx_0(A,D),k2_xcmplx_0(B,E),C)))))))))))) # label(t37_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3040 (all A (v1_xreal_0(A) -> (v1_int_1(A) <-> A = k2_int_1(A)))) # label(t54_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3041 (all A (v1_xreal_0(A) -> k3_int_1(A) = k6_xcmplx_0(A,k1_int_1(A)))) # label(d6_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3042 (all A (v1_xreal_0(A) -> (all B (v1_int_1(B) -> (k1_int_1(A) = B <-> -r1_xreal_0(B,k6_xcmplx_0(A,np__1)) & r1_xreal_0(B,A)))))) # label(d4_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3043 (all A (v1_xreal_0(A) -> v1_xcmplx_0(k3_int_1(A)) & v1_xreal_0(k3_int_1(A)))) # label(fc10_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3044 (all A (v1_xreal_0(A) -> m1_subset_1(k4_int_1(A),k1_numbers))) # label(dt_k4_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3045 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (B = np__1 & np__1 = A | k1_real_1(np__1) = A & B = k1_real_1(np__1) <-> np__1 = k3_xcmplx_0(A,B)))))) # label(t22_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3046 $T # label(t30_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3047 $T # label(t27_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3048 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> r1_xreal_0(np__0,k5_int_1(A,B)))))) # label(t82_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3049 (all A all B (v1_int_1(A) & v1_int_1(B) -> v1_int_1(k2_xcmplx_0(A,B)) & v1_xreal_0(k2_xcmplx_0(A,B)) & v1_xcmplx_0(k2_xcmplx_0(A,B)))) # label(fc1_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3050 (all A (v1_xreal_0(A) -> (v1_int_1(A) <-> k1_int_1(A) = k2_int_1(A)))) # label(t59_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3051 (all A (v1_xreal_0(A) -> k1_int_1(k1_int_1(A)) = k1_int_1(A))) # label(t63_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3052 (all A (v1_int_1(A) -> k5_int_1(A,np__0) = np__0)) # label(t75_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3053 (all A (v1_xreal_0(A) -> -((all B (m2_subset_1(B,k1_numbers,k5_numbers) -> A != B & A != k1_real_1(B))) & v1_int_1(A)))) # label(t8_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3054 p1_s2_int_1(f1_s2_int_1) & (all A (v1_int_1(A) -> (r1_xreal_0(f1_s2_int_1,A) & p1_s2_int_1(A) -> p1_s2_int_1(k2_xcmplx_0(A,np__1))))) -> (all A (v1_int_1(A) -> (r1_xreal_0(f1_s2_int_1,A) -> p1_s2_int_1(A)))) # label(s2_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3055 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> ((exists C (v1_int_1(C) & B = k3_xcmplx_0(A,C))) <-> r2_int_1(A,B)))))) # label(d9_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3056 (all A (v1_xreal_0(A) -> k2_int_1(A) = k2_int_1(k2_int_1(A)))) # label(t64_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3057 (all A (r2_hidden(A,k4_numbers) <-> v1_int_1(A))) # label(d2_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3058 (all A (v1_xreal_0(A) -> -(r1_xreal_0(k2_int_1(A),k1_int_1(A)) & -v1_int_1(A)) & -(-r1_xreal_0(k2_int_1(A),k1_int_1(A)) & v1_int_1(A)))) # label(t60_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3059 (all A (v1_int_1(A) -> r1_int_1(A,np__0,A) & r1_int_1(np__0,A,A))) # label(t33_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3060 (all A (v1_int_1(A) -> (-r1_xreal_0(np__0,A) -> r1_xreal_0(A,k1_real_1(np__1))))) # label(t21_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3061 (all A (v1_int_1(A) -> (p1_s4_int_1(A) -> p1_s4_int_1(k2_xcmplx_0(A,np__1)) & p1_s4_int_1(k6_xcmplx_0(A,np__1))))) & p1_s4_int_1(f1_s4_int_1) -> (all A (v1_int_1(A) -> p1_s4_int_1(A))) # label(s4_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3062 (all A (v1_xreal_0(A) -> (all B (v1_int_1(B) -> (all C (v1_int_1(C) -> (r1_xreal_0(B,A) & r1_xreal_0(C,A) -> C = B | r1_xreal_0(C,k6_xcmplx_0(A,np__1)) | r1_xreal_0(B,k6_xcmplx_0(A,np__1))))))))) # label(t44_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3063 $T # label(t73_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3064 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (all C (v1_int_1(C) -> (all D (v1_int_1(D) -> (all E (v1_int_1(E) -> (r1_int_1(D,E,C) & r1_int_1(A,B,C) -> r1_int_1(k3_xcmplx_0(A,D),k3_xcmplx_0(B,E),C)))))))))))) # label(t39_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3065 (all A (v1_xreal_0(A) -> k2_int_1(A) = k1_int_1(k2_int_1(A)))) # label(t62_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3066 (all A (v1_xreal_0(A) -> (all B (v4_ordinal2(B) -> (A = B | A = k4_xcmplx_0(B) -> v1_int_1(A)))))) # label(t7_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3067 (exists A (m1_subset_1(A,k1_zfmisc_1(k4_numbers)) & (all B (v1_int_1(B) -> (p1_s1_int_1(B) <-> r2_hidden(B,A)))))) # label(s1_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3068 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (all C (v1_int_1(C) -> (r1_int_1(A,B,C) <-> r1_int_1(k6_xcmplx_0(A,C),B,C)))))))) # label(t43_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3069 (all A all B (m1_subset_1(A,k5_numbers) & m1_subset_1(B,k5_numbers) -> v1_xcmplx_0(k6_xcmplx_0(A,B)) & v1_xreal_0(k6_xcmplx_0(A,B)) & v1_int_1(k6_xcmplx_0(A,B)))) # label(fc9_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.35	3070 (all A all B (v1_int_1(B) & v1_int_1(A) -> v1_int_1(k6_int_1(A,B)))) # label(dt_k6_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3071 (all A (v1_xreal_0(A) -> (k2_int_1(A) = k1_int_1(A) <-> k2_int_1(A) != k2_xcmplx_0(k1_int_1(A),np__1)))) # label(t66_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3072 (all A all B (v1_int_1(A) & v1_int_1(B) -> v1_xreal_0(k3_xcmplx_0(A,B)) & v1_int_1(k3_xcmplx_0(A,B)) & v1_xcmplx_0(k3_xcmplx_0(A,B)))) # label(fc2_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3073 (exists A v1_int_1(A)) # label(rc2_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3074 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> k5_int_1(A,B) = k1_int_1(k7_xcmplx_0(A,B)))))) # label(d7_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3075 $T # label(t6_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3076 $T # label(t15_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3077 (all A all B (v1_int_1(B) & v1_int_1(A) -> v1_int_1(k5_int_1(A,B)))) # label(dt_k5_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3078 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (all C (v1_int_1(C) -> (all D (v1_int_1(D) -> (r1_int_1(A,B,C) & r1_int_1(B,D,C) -> r1_int_1(A,D,C)))))))))) # label(t36_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3079 (all A (v1_int_1(A) -> v1_xcmplx_0(k4_xcmplx_0(A)) & v1_int_1(k4_xcmplx_0(A)) & v1_xreal_0(k4_xcmplx_0(A)))) # label(fc3_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3080 (all A (v1_xreal_0(A) -> -(-v1_int_1(A) & r1_xreal_0(k2_int_1(A),A)) & -(-r1_xreal_0(k2_int_1(A),A) & v1_int_1(A)))) # label(t55_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3081 (all A (v1_xreal_0(A) -> (all B (v1_int_1(B) -> k2_xcmplx_0(k1_int_1(A),B) = k1_int_1(k2_xcmplx_0(A,B)))))) # label(t51_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3082 (all A (v1_xreal_0(A) -> -r1_xreal_0(k2_xcmplx_0(k2_int_1(A),np__1),A) & -r1_xreal_0(k2_int_1(A),k6_xcmplx_0(A,np__1)))) # label(t57_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3083 $T # label(t2_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3084 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (np__1 = B & A = k1_real_1(np__1) | A = np__1 & k1_real_1(np__1) = B <-> k3_xcmplx_0(A,B) = k1_real_1(np__1)))))) # label(t23_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3085 $T # label(t24_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3086 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (all C (v1_int_1(C) -> (all D (v1_int_1(D) -> (all E (v1_int_1(E) -> (r1_int_1(D,E,C) & k3_xcmplx_0(A,B) = C -> r1_int_1(D,E,A)))))))))))) # label(t41_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3087 (all A (v1_xreal_0(A) -> k2_xcmplx_0(k1_int_1(A),k4_int_1(A)) = A)) # label(t68_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3088 $T # label(t9_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3089 (all A (v1_xreal_0(A) -> k1_int_1(A) = k2_int_1(k1_int_1(A)))) # label(t65_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3090 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (all C (v1_int_1(C) -> (all D (v1_int_1(D) -> (r1_int_1(A,k6_xcmplx_0(C,B),D) <-> r1_int_1(k2_xcmplx_0(A,B),C,D)))))))))) # label(t40_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3091 (all A (m1_subset_1(A,k5_numbers) -> v1_xcmplx_0(k4_xcmplx_0(A)) & v1_xreal_0(k4_xcmplx_0(A)) & -v2_xreal_0(k4_xcmplx_0(A)) & v1_int_1(k4_xcmplx_0(A)))) # label(fc5_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3092 $T # label(t3_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3093 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_int_1(B) -> -((all C (m2_subset_1(C,k1_numbers,k5_numbers) -> -(r1_xreal_0(np__1,C) & C = k6_xcmplx_0(B,A)))) & -r1_xreal_0(B,A)))))) # label(t78_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3094 $T # label(t46_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3095 $T # label(t67_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3096 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (-r1_xreal_0(B,A) -> r1_xreal_0(k2_xcmplx_0(A,np__1),B)))))) # label(t20_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3097 (all A (v1_xreal_0(A) -> (all B (v1_int_1(B) -> k2_int_1(k2_xcmplx_0(A,B)) = k2_xcmplx_0(k2_int_1(A),B))))) # label(t58_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3098 (all A (v1_xreal_0(A) -> v1_int_1(k1_int_1(A)))) # label(dt_k1_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3099 (all A (v1_xreal_0(A) -> -r1_xreal_0(np__1,k4_int_1(A)) & r1_xreal_0(np__0,k4_int_1(A)))) # label(t69_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3100 (all A (v1_xreal_0(A) -> (all B (v1_int_1(B) -> (all C (v1_int_1(C) -> (r1_xreal_0(A,B) & r1_xreal_0(A,C) -> r1_xreal_0(k2_xcmplx_0(A,np__1),C) | C = B | r1_xreal_0(k2_xcmplx_0(A,np__1),B)))))))) # label(t45_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3101 (all A (v4_ordinal2(A) -> v1_int_1(A))) # label(cc3_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3102 $T # label(t26_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3103 (all A (v1_xreal_0(A) -> (np__0 != A -> k1_int_1(k7_xcmplx_0(A,A)) = np__1))) # label(t74_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3104 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (r1_xreal_0(A,B) -> r2_hidden(k6_xcmplx_0(B,A),k5_numbers)))))) # label(t18_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3105 $T # label(t1_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3106 $T # label(dt_k3_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3107 $T # label(t53_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3108 (all A (v1_int_1(A) -> (r1_xreal_0(np__0,A) -> r2_hidden(A,k5_numbers)))) # label(t16_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3109 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> r1_int_1(A,A,B))))) # label(t32_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3110 (all A (v1_int_1(A) -> (p1_s3_int_1(A) & r1_xreal_0(A,f1_s3_int_1) -> p1_s3_int_1(k6_xcmplx_0(A,np__1))))) & p1_s3_int_1(f1_s3_int_1) -> (all A (v1_int_1(A) -> (r1_xreal_0(A,f1_s3_int_1) -> p1_s3_int_1(A)))) # label(s3_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3111 (all A (v1_xreal_0(A) -> (v1_int_1(A) -> v1_int_1(k2_xcmplx_0(A,np__1)) & v1_int_1(k6_xcmplx_0(A,np__1))))) # label(t17_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3112 (all A (v1_xreal_0(A) -> (k1_int_1(A) = A <-> v1_int_1(A)))) # label(t47_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3113 (all A (v1_xreal_0(A) -> k1_int_1(k4_int_1(A)) = np__0)) # label(t70_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3114 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (all C (v1_int_1(C) -> (r1_int_1(A,B,C) -> r1_int_1(B,A,C)))))))) # label(t35_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3115 (all A (v1_int_1(A) -> (p1_s6_int_1(A) -> r1_xreal_0(A,f1_s6_int_1)))) & (exists A (v1_int_1(A) & p1_s6_int_1(A))) -> (exists A (v1_int_1(A) & p1_s6_int_1(A) & (all B (v1_int_1(B) -> (p1_s6_int_1(B) -> r1_xreal_0(B,A)))))) # label(s6_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3116 (all A (v1_xreal_0(A) -> -r1_xreal_0(k2_xcmplx_0(A,np__1),k1_int_1(A)) & -r1_xreal_0(A,k6_xcmplx_0(k1_int_1(A),np__1)))) # label(t50_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3117 $T # label(t5_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3118 $T # label(t29_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3119 $T # label(t14_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3120 (all A (v1_xreal_0(A) -> -r1_xreal_0(k2_xcmplx_0(k1_int_1(A),np__1),A))) # label(t52_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3121 (exists A (v1_xreal_0(A) & v1_int_1(A) & v1_xcmplx_0(A) & m1_subset_1(A,k1_numbers))) # label(rc1_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3122 $T # label(t56_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3123 $T # label(t49_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3124 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (all C (v1_int_1(C) -> ((exists D (v1_int_1(D) & k3_xcmplx_0(C,D) = k6_xcmplx_0(A,B))) <-> r1_int_1(A,B,C)))))))) # label(d3_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3125 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (B = np__0 -> np__0 = k6_int_1(A,B)) & (B != np__0 -> k6_xcmplx_0(A,k3_xcmplx_0(k5_int_1(A,B),B)) = k6_int_1(A,B)))))) # label(d8_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3126 $T # label(t4_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3127 $T # label(t13_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3128 (all A (v1_int_1(A) -> (A != np__0 -> k5_int_1(A,A) = np__1))) # label(t76_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3129 $T # label(t12_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3130 (all A all B (m1_subset_1(A,k5_numbers) & v1_int_1(B) -> v1_int_1(k2_xcmplx_0(B,A)) & v1_xreal_0(k2_xcmplx_0(B,A)) & v1_xcmplx_0(k2_xcmplx_0(B,A)))) # label(fc6_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3131 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_int_1(B) -> (all C (v1_int_1(C) -> (k2_xcmplx_0(B,A) = C -> r1_xreal_0(B,C)))))))) # label(t19_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3132 (all A (v1_int_1(A) -> v1_xreal_0(A) & v1_xcmplx_0(A))) # label(cc4_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3133 (all A (v1_xreal_0(A) -> (all B (v1_int_1(B) -> (-r1_xreal_0(k2_xcmplx_0(A,np__1),B) & r1_xreal_0(A,B) <-> k2_int_1(A) = B))))) # label(d5_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3134 (exists A (v1_int_1(A) & p1_s5_int_1(A))) & (all A (v1_int_1(A) -> (p1_s5_int_1(A) -> r1_xreal_0(f1_s5_int_1,A)))) -> (exists A (p1_s5_int_1(A) & (all B (v1_int_1(B) -> (p1_s5_int_1(B) -> r1_xreal_0(A,B)))) & v1_int_1(A))) # label(s5_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3135 $T # label(t28_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3136 (all A all B (v1_int_1(A) & v1_int_1(B) -> r2_int_1(A,A))) # label(reflexivity_r2_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3137 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (-r1_xreal_0(B,A) -> r1_xreal_0(A,k6_xcmplx_0(B,np__1))))))) # label(t79_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3138 $T # label(t25_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3139 (all A all B (m1_subset_1(A,k5_numbers) & v1_int_1(B) -> v1_xreal_0(k3_xcmplx_0(B,A)) & v1_int_1(k3_xcmplx_0(B,A)) & v1_xcmplx_0(k3_xcmplx_0(B,A)))) # label(fc7_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3140 (all A (m1_subset_1(A,k4_numbers) -> v1_int_1(A))) # label(cc1_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3141 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> r1_int_1(A,B,np__1))))) # label(t34_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3142 (all A (k4_numbers = A <-> (all B (-(all C (m2_subset_1(C,k1_numbers,k5_numbers) -> B != C & k1_real_1(C) != B)) <-> r2_hidden(B,A))))) # label(d1_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3143 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (all C (v1_int_1(C) -> (all D (v1_int_1(D) -> (all E (v1_int_1(E) -> (r1_int_1(A,B,C) & r1_int_1(D,E,C) -> r1_int_1(k6_xcmplx_0(A,D),k6_xcmplx_0(B,E),C)))))))))))) # label(t38_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3144 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (all C (v1_int_1(C) -> (r1_int_1(k2_xcmplx_0(A,C),B,C) <-> r1_int_1(A,B,C)))))))) # label(t42_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3145 $T # label(t11_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3146 (all A (v1_int_1(A) -> np__0 = k6_int_1(A,A))) # label(t77_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3147 (all A all B (v1_int_1(B) & v1_int_1(A) -> v1_xreal_0(k6_xcmplx_0(A,B)) & v1_int_1(k6_xcmplx_0(A,B)) & v1_xcmplx_0(k6_xcmplx_0(A,B)))) # label(fc4_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3148 (all A (m1_subset_1(A,k5_numbers) -> v1_ordinal1(A) & v2_ordinal1(A) & -v3_xreal_0(A) & v1_int_1(A) & v1_xreal_0(A) & v1_xcmplx_0(A) & v4_ordinal2(A) & v3_ordinal1(A))) # label(cc2_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3149 (all A all B (v1_int_1(B) & m1_subset_1(A,k5_numbers) -> v1_xcmplx_0(k6_xcmplx_0(B,A)) & v1_xreal_0(k6_xcmplx_0(B,A)) & v1_int_1(k6_xcmplx_0(B,A)))) # label(fc8_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3150 (all A (v1_xreal_0(A) -> r1_xreal_0(k1_int_1(A),k2_int_1(A)))) # label(t61_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3151 (all A (v1_xreal_0(A) -> (r1_xreal_0(np__0,A) -> r1_xreal_0(np__0,k2_int_1(A)) & r1_xreal_0(np__0,k1_int_1(A)) & m2_subset_1(k2_int_1(A),k1_numbers,k5_numbers) & m2_subset_1(k1_int_1(A),k1_numbers,k5_numbers)))) # label(t80_int_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3152 (all A all B (m1_subset_1(B,k3_numbers) & m1_subset_1(A,k3_numbers) -> k15_binop_2(A,B) = k2_xcmplx_0(A,B))) # label(redefinition_k15_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3153 (all A all B (m1_subset_1(B,k2_numbers) & m1_subset_1(A,k2_numbers) -> m1_subset_1(k6_binop_2(A,B),k2_numbers))) # label(dt_k6_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3154 (all A (v1_funct_2(A,k1_numbers,k1_numbers) & m2_relset_1(A,k1_numbers,k1_numbers) & v1_funct_1(A) -> ((all B (m1_subset_1(B,k1_numbers) -> k8_funct_2(k1_numbers,k1_numbers,A,B) = k7_binop_2(B))) <-> A = k31_binop_2))) # label(d7_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3155 (all A (v1_funct_1(A) & m2_relset_1(A,k2_zfmisc_1(k2_numbers,k2_numbers),k2_numbers) & v1_funct_2(A,k2_zfmisc_1(k2_numbers,k2_numbers),k2_numbers) -> (A = k28_binop_2 <-> (all B (m1_subset_1(B,k2_numbers) -> (all C (m1_subset_1(C,k2_numbers) -> k4_binop_2(B,C) = k2_binop_1(k2_numbers,k2_numbers,k2_numbers,A,B,C)))))))) # label(d4_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3156 (all A all B (m1_subset_1(B,k3_numbers) & m1_subset_1(A,k3_numbers) -> m1_subset_1(k18_binop_2(A,B),k3_numbers))) # label(dt_k18_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3157 (all A all B (m1_subset_1(B,k4_numbers) & m1_subset_1(A,k4_numbers) -> m1_subset_1(k21_binop_2(A,B),k4_numbers))) # label(dt_k21_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3158 (all A all B (m1_subset_1(B,k2_numbers) & m1_subset_1(A,k2_numbers) -> k3_binop_2(A,B) = k2_xcmplx_0(A,B))) # label(redefinition_k3_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3159 (all A (m1_subset_1(A,k2_numbers) -> k1_binop_2(k1_binop_2(A)) = A)) # label(involutiveness_k1_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3160 (all A (v1_funct_2(A,k2_zfmisc_1(k2_numbers,k2_numbers),k2_numbers) & m2_relset_1(A,k2_zfmisc_1(k2_numbers,k2_numbers),k2_numbers) & v1_funct_1(A) -> (A = k30_binop_2 <-> (all B (m1_subset_1(B,k2_numbers) -> (all C (m1_subset_1(C,k2_numbers) -> k6_binop_2(B,C) = k2_binop_1(k2_numbers,k2_numbers,k2_numbers,A,B,C)))))))) # label(d6_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3161 (all A all B (m1_subset_1(A,k1_numbers) & m1_subset_1(B,k1_numbers) -> k7_xcmplx_0(A,B) = k12_binop_2(A,B))) # label(redefinition_k12_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3162 (all A (v1_funct_1(A) & m2_relset_1(A,k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers) & v1_funct_2(A,k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers) -> (k45_binop_2 = A <-> (all B (m1_subset_1(B,k4_numbers) -> (all C (m1_subset_1(C,k4_numbers) -> k2_binop_1(k4_numbers,k4_numbers,k4_numbers,A,B,C) = k21_binop_2(B,C)))))))) # label(d21_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3163 (all A all B (m1_subset_1(A,k2_numbers) & m1_subset_1(B,k2_numbers) -> k3_binop_2(B,A) = k3_binop_2(A,B))) # label(commutativity_k3_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3164 (all A (m1_subset_1(A,k3_numbers) -> v1_rat_1(A) & v1_xreal_0(A) & v1_xcmplx_0(A))) # label(cc1_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3165 (all A all B (m1_subset_1(B,k2_numbers) & m1_subset_1(A,k2_numbers) -> k3_xcmplx_0(A,B) = k5_binop_2(A,B))) # label(redefinition_k5_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3166 (all A (m1_subset_1(A,k3_numbers) -> A = k13_binop_2(k13_binop_2(A)))) # label(involutiveness_k13_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3167 (all A (v1_funct_2(A,k2_zfmisc_1(k2_numbers,k2_numbers),k2_numbers) & m2_relset_1(A,k2_zfmisc_1(k2_numbers,k2_numbers),k2_numbers) & v1_funct_1(A) -> ((all B (m1_subset_1(B,k2_numbers) -> (all C (m1_subset_1(C,k2_numbers) -> k2_binop_1(k2_numbers,k2_numbers,k2_numbers,A,B,C) = k5_binop_2(B,C))))) <-> k29_binop_2 = A))) # label(d5_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3168 (all A all B (m1_subset_1(A,k4_numbers) & m1_subset_1(B,k4_numbers) -> k3_xcmplx_0(A,B) = k22_binop_2(A,B))) # label(redefinition_k22_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3169 (all A (m2_relset_1(A,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) & v1_funct_2(A,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) & v1_funct_1(A) -> ((all B (m1_subset_1(B,k1_numbers) -> (all C (m1_subset_1(C,k1_numbers) -> k2_binop_1(k1_numbers,k1_numbers,k1_numbers,A,B,C) = k9_binop_2(B,C))))) <-> A = k33_binop_2))) # label(d9_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3170 (all A (m1_subset_1(A,k2_numbers) -> m1_subset_1(k1_binop_2(A),k2_numbers))) # label(dt_k1_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3171 (all A all B (m1_subset_1(B,k5_numbers) & m1_subset_1(A,k5_numbers) -> m2_subset_1(k23_binop_2(A,B),k1_numbers,k5_numbers))) # label(dt_k23_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3172 (all A all B (m1_subset_1(A,k4_numbers) & m1_subset_1(B,k4_numbers) -> k21_binop_2(A,B) = k6_xcmplx_0(A,B))) # label(redefinition_k21_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3173 (all A all B (m1_subset_1(B,k3_numbers) & m1_subset_1(A,k3_numbers) -> k7_xcmplx_0(A,B) = k18_binop_2(A,B))) # label(redefinition_k18_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3174 (all A all B (m1_subset_1(A,k2_numbers) & m1_subset_1(B,k2_numbers) -> k5_binop_2(B,A) = k5_binop_2(A,B))) # label(commutativity_k5_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3175 (all A (m2_relset_1(A,k2_numbers,k2_numbers) & v1_funct_2(A,k2_numbers,k2_numbers) & v1_funct_1(A) -> ((all B (m1_subset_1(B,k2_numbers) -> k1_binop_2(B) = k8_funct_2(k2_numbers,k2_numbers,A,B))) <-> k25_binop_2 = A))) # label(d1_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3176 (all A all B (m1_subset_1(B,k4_numbers) & m1_subset_1(A,k4_numbers) -> m1_subset_1(k22_binop_2(A,B),k4_numbers))) # label(dt_k22_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3177 (all A (v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers) & m2_relset_1(A,k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers) -> (k44_binop_2 = A <-> (all B (m1_subset_1(B,k4_numbers) -> (all C (m1_subset_1(C,k4_numbers) -> k20_binop_2(B,C) = k2_binop_1(k4_numbers,k4_numbers,k4_numbers,A,B,C)))))))) # label(d20_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3178 (all A (m1_subset_1(A,k1_numbers) -> A = k8_binop_2(k8_binop_2(A)))) # label(involutiveness_k8_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3179 (all A (m1_subset_1(A,k1_numbers) -> k4_xcmplx_0(A) = k7_binop_2(A))) # label(redefinition_k7_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3180 (all A all B (m1_subset_1(A,k2_numbers) & m1_subset_1(B,k2_numbers) -> m1_subset_1(k5_binop_2(A,B),k2_numbers))) # label(dt_k5_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3181 (all A (m1_subset_1(A,k3_numbers) -> k5_xcmplx_0(A) = k14_binop_2(A))) # label(redefinition_k14_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3182 (all A (v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) & m2_relset_1(A,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) -> (A = k34_binop_2 <-> (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_subset_1(C,k1_numbers) -> k10_binop_2(B,C) = k2_binop_1(k1_numbers,k1_numbers,k1_numbers,A,B,C)))))))) # label(d10_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3183 (all A all B (m1_subset_1(B,k3_numbers) & m1_subset_1(A,k3_numbers) -> k17_binop_2(A,B) = k3_xcmplx_0(A,B))) # label(redefinition_k17_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3184 (all A (m1_subset_1(A,k3_numbers) -> m1_subset_1(k13_binop_2(A),k3_numbers))) # label(dt_k13_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3185 (all A all B (m1_subset_1(A,k2_numbers) & m1_subset_1(B,k2_numbers) -> m1_subset_1(k3_binop_2(A,B),k2_numbers))) # label(dt_k3_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3186 (all A all B (m1_subset_1(B,k4_numbers) & m1_subset_1(A,k4_numbers) -> k20_binop_2(A,B) = k20_binop_2(B,A))) # label(commutativity_k20_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3187 (all A all B (m1_subset_1(A,k5_numbers) & m1_subset_1(B,k5_numbers) -> k3_xcmplx_0(A,B) = k24_binop_2(A,B))) # label(redefinition_k24_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3188 (all A (v1_funct_2(A,k2_zfmisc_1(k3_numbers,k3_numbers),k3_numbers) & m2_relset_1(A,k2_zfmisc_1(k3_numbers,k3_numbers),k3_numbers) & v1_funct_1(A) -> (A = k39_binop_2 <-> (all B (m1_subset_1(B,k3_numbers) -> (all C (m1_subset_1(C,k3_numbers) -> k2_binop_1(k3_numbers,k3_numbers,k3_numbers,A,B,C) = k15_binop_2(B,C)))))))) # label(d15_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3189 (all A (v1_funct_2(A,f1_s1_binop_2,f2_s1_binop_2) & m2_relset_1(A,f1_s1_binop_2,f2_s1_binop_2) & v1_funct_1(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,f1_s1_binop_2,f2_s1_binop_2) & v1_funct_2(B,f1_s1_binop_2,f2_s1_binop_2) -> ((all C (m1_subset_1(C,f1_s1_binop_2) -> k8_funct_2(f1_s1_binop_2,f2_s1_binop_2,A,C) = f3_s1_binop_2(C))) & (all C (m1_subset_1(C,f1_s1_binop_2) -> k8_funct_2(f1_s1_binop_2,f2_s1_binop_2,B,C) = f3_s1_binop_2(C))) -> B = A))))) # label(s1_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3190 (all A all B (m1_subset_1(B,k1_numbers) & m1_subset_1(A,k1_numbers) -> k11_binop_2(B,A) = k11_binop_2(A,B))) # label(commutativity_k11_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3191 (all A (v1_funct_1(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) -> (A = k47_binop_2 <-> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> k23_binop_2(B,C) = k2_binop_1(k5_numbers,k5_numbers,k5_numbers,A,B,C)))))))) # label(d23_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3192 (all A (m1_subset_1(A,k3_numbers) -> k14_binop_2(k14_binop_2(A)) = A)) # label(involutiveness_k14_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3193 (all A (m1_subset_1(A,k2_numbers) -> k4_xcmplx_0(A) = k1_binop_2(A))) # label(redefinition_k1_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3194 (all A all B (m1_subset_1(B,k1_numbers) & m1_subset_1(A,k1_numbers) -> m1_subset_1(k12_binop_2(A,B),k1_numbers))) # label(dt_k12_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3195 (all A all B (m1_subset_1(B,k5_numbers) & m1_subset_1(A,k5_numbers) -> k23_binop_2(A,B) = k23_binop_2(B,A))) # label(commutativity_k23_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3196 (all A all B (m1_subset_1(B,k4_numbers) & m1_subset_1(A,k4_numbers) -> k22_binop_2(A,B) = k22_binop_2(B,A))) # label(commutativity_k22_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3197 (all A (v1_funct_1(A) & m2_relset_1(A,k1_numbers,k1_numbers) & v1_funct_2(A,k1_numbers,k1_numbers) -> ((all B (m1_subset_1(B,k1_numbers) -> k8_binop_2(B) = k8_funct_2(k1_numbers,k1_numbers,A,B))) <-> k32_binop_2 = A))) # label(d8_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3198 (all A all B (m1_subset_1(A,k2_numbers) & m1_subset_1(B,k2_numbers) -> m1_subset_1(k4_binop_2(A,B),k2_numbers))) # label(dt_k4_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3199 (all A all B (m1_subset_1(A,k1_numbers) & m1_subset_1(B,k1_numbers) -> m1_subset_1(k11_binop_2(A,B),k1_numbers))) # label(dt_k11_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3200 (all A all B (m1_subset_1(A,k3_numbers) & m1_subset_1(B,k3_numbers) -> m1_subset_1(k15_binop_2(A,B),k3_numbers))) # label(dt_k15_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3201 (all A all B (m1_subset_1(B,k1_numbers) & m1_subset_1(A,k1_numbers) -> m1_subset_1(k10_binop_2(A,B),k1_numbers))) # label(dt_k10_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3202 (all A all B (m1_subset_1(B,k2_numbers) & m1_subset_1(A,k2_numbers) -> k4_binop_2(A,B) = k6_xcmplx_0(A,B))) # label(redefinition_k4_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3203 (all A (m2_relset_1(A,k3_numbers,k3_numbers) & v1_funct_2(A,k3_numbers,k3_numbers) & v1_funct_1(A) -> (A = k38_binop_2 <-> (all B (m1_subset_1(B,k3_numbers) -> k14_binop_2(B) = k8_funct_2(k3_numbers,k3_numbers,A,B)))))) # label(d14_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3204 (all A (m1_subset_1(A,k2_numbers) -> A = k2_binop_2(k2_binop_2(A)))) # label(involutiveness_k2_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3205 (all A all B (m1_subset_1(B,k5_numbers) & m1_subset_1(A,k5_numbers) -> m2_subset_1(k24_binop_2(A,B),k1_numbers,k5_numbers))) # label(dt_k24_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3206 (all A (v1_funct_1(A) & v1_funct_2(A,k2_numbers,k2_numbers) & m2_relset_1(A,k2_numbers,k2_numbers) -> ((all B (m1_subset_1(B,k2_numbers) -> k2_binop_2(B) = k8_funct_2(k2_numbers,k2_numbers,A,B))) <-> A = k26_binop_2))) # label(d2_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3207 (all A all B (m1_subset_1(A,k3_numbers) & m1_subset_1(B,k3_numbers) -> k17_binop_2(B,A) = k17_binop_2(A,B))) # label(commutativity_k17_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3208 (all A all B (m1_subset_1(B,k5_numbers) & m1_subset_1(A,k5_numbers) -> k23_binop_2(A,B) = k2_xcmplx_0(A,B))) # label(redefinition_k23_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3209 (all A all B (m1_subset_1(B,k3_numbers) & m1_subset_1(A,k3_numbers) -> k15_binop_2(B,A) = k15_binop_2(A,B))) # label(commutativity_k15_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3210 (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) -> k24_binop_2(B,C) = k2_binop_1(k5_numbers,k5_numbers,k5_numbers,A,B,C))))) <-> A = k48_binop_2))) # label(d24_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3211 (all A all B (m1_subset_1(B,k4_numbers) & m1_subset_1(A,k4_numbers) -> k2_xcmplx_0(A,B) = k20_binop_2(A,B))) # label(redefinition_k20_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3212 (all A all B (m1_subset_1(A,k1_numbers) & m1_subset_1(B,k1_numbers) -> k9_binop_2(A,B) = k9_binop_2(B,A))) # label(commutativity_k9_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3213 (all A (m2_relset_1(A,k2_zfmisc_1(k3_numbers,k3_numbers),k3_numbers) & v1_funct_2(A,k2_zfmisc_1(k3_numbers,k3_numbers),k3_numbers) & v1_funct_1(A) -> (A = k42_binop_2 <-> (all B (m1_subset_1(B,k3_numbers) -> (all C (m1_subset_1(C,k3_numbers) -> k2_binop_1(k3_numbers,k3_numbers,k3_numbers,A,B,C) = k18_binop_2(B,C)))))))) # label(d18_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3214 (all A all B (m1_subset_1(B,k2_numbers) & m1_subset_1(A,k2_numbers) -> k7_xcmplx_0(A,B) = k6_binop_2(A,B))) # label(redefinition_k6_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3215 (all A all B (m1_subset_1(A,k1_numbers) & m1_subset_1(B,k1_numbers) -> k10_binop_2(A,B) = k6_xcmplx_0(A,B))) # label(redefinition_k10_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3216 (all A (m1_subset_1(A,k1_numbers) -> k7_binop_2(k7_binop_2(A)) = A)) # label(involutiveness_k7_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3217 (all A (v1_funct_1(A) & m2_relset_1(A,k2_zfmisc_1(k2_numbers,k2_numbers),k2_numbers) & v1_funct_2(A,k2_zfmisc_1(k2_numbers,k2_numbers),k2_numbers) -> ((all B (m1_subset_1(B,k2_numbers) -> (all C (m1_subset_1(C,k2_numbers) -> k2_binop_1(k2_numbers,k2_numbers,k2_numbers,A,B,C) = k3_binop_2(B,C))))) <-> A = k27_binop_2))) # label(d3_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3218 (all A (m1_subset_1(A,k4_numbers) -> m1_subset_1(k19_binop_2(A),k4_numbers))) # label(dt_k19_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3219 (all A (m1_subset_1(A,k4_numbers) -> k4_xcmplx_0(A) = k19_binop_2(A))) # label(redefinition_k19_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3220 (all A all B (m1_subset_1(B,k3_numbers) & m1_subset_1(A,k3_numbers) -> m1_subset_1(k17_binop_2(A,B),k3_numbers))) # label(dt_k17_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3221 (all A (v1_funct_2(A,k2_zfmisc_1(f1_s2_binop_2,f1_s2_binop_2),f1_s2_binop_2) & m2_relset_1(A,k2_zfmisc_1(f1_s2_binop_2,f1_s2_binop_2),f1_s2_binop_2) & v1_funct_1(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,k2_zfmisc_1(f1_s2_binop_2,f1_s2_binop_2),f1_s2_binop_2) & v1_funct_2(B,k2_zfmisc_1(f1_s2_binop_2,f1_s2_binop_2),f1_s2_binop_2) -> ((all C (m1_subset_1(C,f1_s2_binop_2) -> (all D (m1_subset_1(D,f1_s2_binop_2) -> f2_s2_binop_2(C,D) = k2_binop_1(f1_s2_binop_2,f1_s2_binop_2,f1_s2_binop_2,A,C,D))))) & (all C (m1_subset_1(C,f1_s2_binop_2) -> (all D (m1_subset_1(D,f1_s2_binop_2) -> f2_s2_binop_2(C,D) = k2_binop_1(f1_s2_binop_2,f1_s2_binop_2,f1_s2_binop_2,B,C,D))))) -> B = A))))) # label(s2_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3222 (all A (v1_funct_1(A) & m2_relset_1(A,k4_numbers,k4_numbers) & v1_funct_2(A,k4_numbers,k4_numbers) -> ((all B (m1_subset_1(B,k4_numbers) -> k8_funct_2(k4_numbers,k4_numbers,A,B) = k19_binop_2(B))) <-> A = k43_binop_2))) # label(d19_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3223 (all A all B (m1_subset_1(A,k1_numbers) & m1_subset_1(B,k1_numbers) -> m1_subset_1(k9_binop_2(A,B),k1_numbers))) # label(dt_k9_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3224 (all A (m1_subset_1(A,k3_numbers) -> m1_subset_1(k14_binop_2(A),k3_numbers))) # label(dt_k14_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3225 (all A (m1_subset_1(A,k1_numbers) -> k8_binop_2(A) = k5_xcmplx_0(A))) # label(redefinition_k8_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3226 (all A all B (m1_subset_1(B,k4_numbers) & m1_subset_1(A,k4_numbers) -> m1_subset_1(k20_binop_2(A,B),k4_numbers))) # label(dt_k20_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3227 (all A all B (m1_subset_1(B,k1_numbers) & m1_subset_1(A,k1_numbers) -> k9_binop_2(A,B) = k2_xcmplx_0(A,B))) # label(redefinition_k9_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3228 (all A all B (m1_subset_1(B,k3_numbers) & m1_subset_1(A,k3_numbers) -> k6_xcmplx_0(A,B) = k16_binop_2(A,B))) # label(redefinition_k16_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3229 (all A (m1_subset_1(A,k4_numbers) -> A = k19_binop_2(k19_binop_2(A)))) # label(involutiveness_k19_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3230 (all A (m2_relset_1(A,k2_zfmisc_1(k3_numbers,k3_numbers),k3_numbers) & v1_funct_2(A,k2_zfmisc_1(k3_numbers,k3_numbers),k3_numbers) & v1_funct_1(A) -> ((all B (m1_subset_1(B,k3_numbers) -> (all C (m1_subset_1(C,k3_numbers) -> k2_binop_1(k3_numbers,k3_numbers,k3_numbers,A,B,C) = k16_binop_2(B,C))))) <-> A = k40_binop_2))) # label(d16_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3231 (all A all B (m1_subset_1(A,k3_numbers) & m1_subset_1(B,k3_numbers) -> m1_subset_1(k16_binop_2(A,B),k3_numbers))) # label(dt_k16_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3232 (all A (m1_subset_1(A,k2_numbers) -> m1_subset_1(k2_binop_2(A),k2_numbers))) # label(dt_k2_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3233 (all A (v1_funct_1(A) & m2_relset_1(A,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) & v1_funct_2(A,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) -> (k35_binop_2 = A <-> (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_subset_1(C,k1_numbers) -> k11_binop_2(B,C) = k2_binop_1(k1_numbers,k1_numbers,k1_numbers,A,B,C)))))))) # label(d11_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3234 (all A all B (m1_subset_1(B,k5_numbers) & m1_subset_1(A,k5_numbers) -> k24_binop_2(A,B) = k24_binop_2(B,A))) # label(commutativity_k24_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3235 (all A (m1_subset_1(A,k2_numbers) -> k2_binop_2(A) = k5_xcmplx_0(A))) # label(redefinition_k2_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3236 (all A (v1_funct_2(A,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) & m2_relset_1(A,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) & v1_funct_1(A) -> ((all B (m1_subset_1(B,k1_numbers) -> (all C (m1_subset_1(C,k1_numbers) -> k12_binop_2(B,C) = k2_binop_1(k1_numbers,k1_numbers,k1_numbers,A,B,C))))) <-> A = k36_binop_2))) # label(d12_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3237 (all A (v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers) & m2_relset_1(A,k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers) -> (A = k46_binop_2 <-> (all B (m1_subset_1(B,k4_numbers) -> (all C (m1_subset_1(C,k4_numbers) -> k2_binop_1(k4_numbers,k4_numbers,k4_numbers,A,B,C) = k22_binop_2(B,C)))))))) # label(d22_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3238 (all A (m1_subset_1(A,k1_numbers) -> m1_subset_1(k8_binop_2(A),k1_numbers))) # label(dt_k8_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3239 (all A all B (m1_subset_1(A,k1_numbers) & m1_subset_1(B,k1_numbers) -> k3_xcmplx_0(A,B) = k11_binop_2(A,B))) # label(redefinition_k11_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3240 (all A (v1_funct_2(A,k2_zfmisc_1(k3_numbers,k3_numbers),k3_numbers) & m2_relset_1(A,k2_zfmisc_1(k3_numbers,k3_numbers),k3_numbers) & v1_funct_1(A) -> ((all B (m1_subset_1(B,k3_numbers) -> (all C (m1_subset_1(C,k3_numbers) -> k17_binop_2(B,C) = k2_binop_1(k3_numbers,k3_numbers,k3_numbers,A,B,C))))) <-> A = k41_binop_2))) # label(d17_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3241 (all A (m1_subset_1(A,k3_numbers) -> k13_binop_2(A) = k4_xcmplx_0(A))) # label(redefinition_k13_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3242 (all A (v1_funct_1(A) & m2_relset_1(A,k3_numbers,k3_numbers) & v1_funct_2(A,k3_numbers,k3_numbers) -> ((all B (m1_subset_1(B,k3_numbers) -> k8_funct_2(k3_numbers,k3_numbers,A,B) = k13_binop_2(B))) <-> k37_binop_2 = A))) # label(d13_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3243 (all A (m1_subset_1(A,k1_numbers) -> m1_subset_1(k7_binop_2(A),k1_numbers))) # label(dt_k7_binop_2) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3244 (all A (v1_membered(A) -> ((all B (v1_xcmplx_0(B) -> r2_hidden(B,A))) -> A = k2_numbers))) # label(t11_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3245 (all A (v4_membered(A) -> (all B (v4_membered(B) -> (r1_xboole_0(A,B) <-> (all C (v1_int_1(C) -> -(r2_hidden(C,A) & r2_hidden(C,B))))))))) # label(d19_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3246 (all A all B (v1_xreal_0(B) & v1_xreal_0(A) -> v2_membered(k2_tarski(A,B)) & v1_membered(k2_tarski(A,B)))) # label(fc13_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3247 (all A all B (v1_membered(B) & v1_membered(A) -> v1_membered(k2_xboole_0(A,B)))) # label(fc22_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3248 (all A (-v1_xboole_0(A) & v3_membered(A) -> (exists B (r2_hidden(B,A) & v1_rat_1(B))))) # label(t8_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3249 (all A (v2_membered(A) -> r1_tarski(A,k1_numbers))) # label(t2_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3250 (all A all B (v1_xcmplx_0(A) & v1_xcmplx_0(B) -> v1_membered(k2_tarski(A,B)))) # label(fc12_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3251 (all A all B (v5_membered(A) & v5_membered(B) -> v2_membered(k5_xboole_0(A,B)) & v3_membered(k5_xboole_0(A,B)) & v4_membered(k5_xboole_0(A,B)) & v5_membered(k5_xboole_0(A,B)) & v1_membered(k5_xboole_0(A,B)))) # label(fc46_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3252 (all A all B (v5_membered(A) -> v5_membered(k3_xboole_0(B,A)) & v4_membered(k3_xboole_0(B,A)) & v3_membered(k3_xboole_0(B,A)) & v2_membered(k3_xboole_0(B,A)) & v1_membered(k3_xboole_0(B,A)))) # label(fc36_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3253 (all A (v5_membered(A) -> (all B (v5_membered(B) -> (r1_tarski(A,B) <-> (all C (v4_ordinal2(C) -> (r2_hidden(C,A) -> r2_hidden(C,B))))))))) # label(d10_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3254 (all A all B (v3_membered(A) & v3_membered(B) -> v1_membered(k5_xboole_0(A,B)) & v3_membered(k5_xboole_0(A,B)) & v2_membered(k5_xboole_0(A,B)))) # label(fc44_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3255 (all A (v4_membered(A) -> (all B (m1_subset_1(B,A) -> v1_xcmplx_0(B) & v1_xreal_0(B) & v1_int_1(B) & v1_rat_1(B))))) # label(cc13_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3256 (all A (m1_subset_1(A,k1_zfmisc_1(k2_numbers)) -> v1_membered(A))) # label(cc5_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3257 (all A all B (v4_membered(A) & v4_membered(B) -> v2_membered(k5_xboole_0(A,B)) & v3_membered(k5_xboole_0(A,B)) & v4_membered(k5_xboole_0(A,B)) & v1_membered(k5_xboole_0(A,B)))) # label(fc45_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3258 (all A all B (v2_membered(A) -> v1_membered(k4_xboole_0(A,B)) & v2_membered(k4_xboole_0(A,B)))) # label(fc38_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3259 (all A ((all B (r2_hidden(B,A) -> v4_membered(B))) -> v4_membered(k3_tarski(A)))) # label(t24_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3260 (all A (v3_membered(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> v2_membered(B) & v3_membered(B) & v1_membered(B))))) # label(cc18_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3261 (all A all B (v3_membered(B) & r2_hidden(B,A) -> v3_membered(k1_setfam_1(A)))) # label(t28_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3262 (all A all B (v3_membered(B) -> (r1_tarski(A,B) -> v3_membered(A)))) # label(t18_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3263 (all A (v1_xreal_0(A) -> v1_membered(k1_tarski(A)) & v2_membered(k1_tarski(A)))) # label(fc8_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3264 (all A all B (v4_membered(A) -> v1_membered(k3_xboole_0(B,A)) & v3_membered(k3_xboole_0(B,A)) & v4_membered(k3_xboole_0(B,A)) & v2_membered(k3_xboole_0(B,A)))) # label(fc34_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3265 (all A all B (r2_hidden(B,A) & v5_membered(B) -> v5_membered(k1_setfam_1(A)))) # label(t30_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3266 (all A all B (v3_membered(A) -> v3_membered(k3_xboole_0(A,B)) & v2_membered(k3_xboole_0(A,B)) & v1_membered(k3_xboole_0(A,B)))) # label(fc31_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3267 (all A (v1_membered(A) & -v1_xboole_0(A) -> (exists B (v1_xcmplx_0(B) & r2_hidden(B,A))))) # label(t6_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3268 (all A (v2_membered(A) -> v1_membered(A))) # label(cc4_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3269 (all A (v4_membered(A) & -v1_xboole_0(A) -> (exists B (v1_int_1(B) & r2_hidden(B,A))))) # label(t9_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3270 (all A (v2_membered(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> v2_membered(B) & v1_membered(B))))) # label(cc17_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3271 (all A all B (v5_membered(A) -> v1_membered(k3_xboole_0(A,B)) & v3_membered(k3_xboole_0(A,B)) & v4_membered(k3_xboole_0(A,B)) & v5_membered(k3_xboole_0(A,B)) & v2_membered(k3_xboole_0(A,B)))) # label(fc35_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3272 (all A all B (v1_membered(B) -> (r1_tarski(A,B) -> v1_membered(A)))) # label(t16_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3273 (all A (m1_subset_1(A,k1_zfmisc_1(k5_numbers)) -> v4_membered(A) & v5_membered(A) & v3_membered(A) & v2_membered(A) & v1_membered(A))) # label(cc9_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3274 (all A all B (v4_membered(A) -> v1_membered(k3_xboole_0(A,B)) & v2_membered(k3_xboole_0(A,B)) & v4_membered(k3_xboole_0(A,B)) & v3_membered(k3_xboole_0(A,B)))) # label(fc33_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3275 (all A all B (v1_membered(A) & v1_membered(B) -> v1_membered(k5_xboole_0(A,B)))) # label(fc42_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3276 (all A (v3_membered(A) -> ((all B (v1_rat_1(B) -> r2_hidden(B,A))) -> k3_numbers = A))) # label(t13_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3277 (all A all B all C (v1_int_1(C) & v1_int_1(B) & v1_int_1(A) -> v2_membered(k1_enumset1(A,B,C)) & v3_membered(k1_enumset1(A,B,C)) & v4_membered(k1_enumset1(A,B,C)) & v1_membered(k1_enumset1(A,B,C)))) # label(fc20_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3278 (all A all B all C (v1_xreal_0(C) & v1_xreal_0(B) & v1_xreal_0(A) -> v2_membered(k1_enumset1(A,B,C)) & v1_membered(k1_enumset1(A,B,C)))) # label(fc18_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3279 (all A (v2_membered(A) -> (all B (m1_subset_1(B,A) -> v1_xreal_0(B) & v1_xcmplx_0(B))))) # label(cc11_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3280 (all A (v1_membered(A) -> (all B (v1_membered(B) -> ((all C (v1_xcmplx_0(C) -> (r2_hidden(C,A) <-> r2_hidden(C,B)))) <-> A = B))))) # label(d11_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3281 (all A all B (v1_membered(A) -> v1_membered(k3_xboole_0(A,B)))) # label(fc27_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3282 (all A all B (v4_membered(B) & r2_hidden(B,A) -> v4_membered(k1_setfam_1(A)))) # label(t29_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3283 (all A all B (r2_hidden(B,A) & v1_membered(B) -> v1_membered(k1_setfam_1(A)))) # label(t26_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3284 (exists A ((all B (v1_rat_1(B) -> (p1_s3_membered(B) <-> r2_hidden(B,A)))) & v3_membered(A))) # label(s3_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3285 (all A all B (v4_membered(A) & v4_membered(B) -> v1_membered(k2_xboole_0(A,B)) & v3_membered(k2_xboole_0(A,B)) & v4_membered(k2_xboole_0(A,B)) & v2_membered(k2_xboole_0(A,B)))) # label(fc25_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3286 (all A (v3_membered(A) -> (all B (v3_membered(B) -> (r1_tarski(A,B) <-> (all C (v1_rat_1(C) -> (r2_hidden(C,A) -> r2_hidden(C,B))))))))) # label(d8_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3287 (all A ((all B (r2_hidden(B,A) -> v1_membered(B))) -> v1_membered(k3_tarski(A)))) # label(t21_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3288 (all A (v5_membered(A) -> r1_tarski(A,k5_numbers))) # label(t5_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3289 (all A (v1_membered(A) -> r1_tarski(A,k2_numbers))) # label(t1_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3290 (all A (v5_membered(A) -> v4_membered(A))) # label(cc1_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3291 (all A (v3_membered(A) <-> (all B (r2_hidden(B,A) -> v1_rat_1(B))))) # label(d3_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3292 (all A all B (v1_membered(A) -> v1_membered(k4_xboole_0(A,B)))) # label(fc37_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3293 (all A (v4_membered(A) -> (all B (v4_membered(B) -> ((all C (v1_int_1(C) -> (r2_hidden(C,A) -> r2_hidden(C,B)))) <-> r1_tarski(A,B)))))) # label(d9_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3294 (all A all B (v2_membered(A) & v2_membered(B) -> v1_membered(k2_xboole_0(A,B)) & v2_membered(k2_xboole_0(A,B)))) # label(fc23_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3295 (all A (m1_subset_1(A,k1_zfmisc_1(k4_numbers)) -> v1_membered(A) & v2_membered(A) & v4_membered(A) & v3_membered(A))) # label(cc8_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3296 (all A (v1_xcmplx_0(A) -> v1_membered(k1_tarski(A)))) # label(fc7_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3297 (all A all B (v3_membered(A) -> v2_membered(k3_xboole_0(B,A)) & v3_membered(k3_xboole_0(B,A)) & v1_membered(k3_xboole_0(B,A)))) # label(fc32_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3298 (all A (v1_membered(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> v1_membered(B))))) # label(cc16_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3299 (all A (v4_membered(A) -> r1_tarski(A,k4_numbers))) # label(t4_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3300 (all A (v4_membered(A) -> (all B (v4_membered(B) -> ((all C (v1_int_1(C) -> (r2_hidden(C,A) <-> r2_hidden(C,B)))) <-> B = A))))) # label(d14_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3301 (all A ((all B (r2_hidden(B,A) -> v1_int_1(B))) <-> v4_membered(A))) # label(d4_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3302 (all A (m1_subset_1(A,k1_zfmisc_1(k1_numbers)) -> v1_membered(A) & v2_membered(A))) # label(cc6_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3303 (exists A ((all B (v1_xcmplx_0(B) -> (r2_hidden(B,A) <-> p1_s1_membered(B)))) & v1_membered(A))) # label(s1_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3304 (all A all B (v4_ordinal2(A) & v4_ordinal2(B) -> v2_membered(k2_tarski(A,B)) & v4_membered(k2_tarski(A,B)) & v5_membered(k2_tarski(A,B)) & v3_membered(k2_tarski(A,B)) & v1_membered(k2_tarski(A,B)))) # label(fc16_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3305 (all A ((all B (r2_hidden(B,A) -> v1_xcmplx_0(B))) <-> v1_membered(A))) # label(d1_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3306 (all A all B (v1_int_1(B) & v1_int_1(A) -> v3_membered(k2_tarski(A,B)) & v4_membered(k2_tarski(A,B)) & v2_membered(k2_tarski(A,B)) & v1_membered(k2_tarski(A,B)))) # label(fc15_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3307 (all A all B (v3_membered(A) -> v2_membered(k4_xboole_0(A,B)) & v3_membered(k4_xboole_0(A,B)) & v1_membered(k4_xboole_0(A,B)))) # label(fc39_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3308 (all A (v3_membered(A) -> (all B (v3_membered(B) -> (B = A <-> (all C (v1_rat_1(C) -> (r2_hidden(C,A) <-> r2_hidden(C,B))))))))) # label(d13_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3309 (all A (v2_membered(A) <-> (all B (r2_hidden(B,A) -> v1_xreal_0(B))))) # label(d2_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3310 (all A (v5_membered(A) & -v1_xboole_0(A) -> (exists B (v4_ordinal2(B) & r2_hidden(B,A))))) # label(t10_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3311 (all A all B all C (v4_ordinal2(B) & v4_ordinal2(C) & v4_ordinal2(A) -> v2_membered(k1_enumset1(A,B,C)) & v3_membered(k1_enumset1(A,B,C)) & v5_membered(k1_enumset1(A,B,C)) & v4_membered(k1_enumset1(A,B,C)) & v1_membered(k1_enumset1(A,B,C)))) # label(fc21_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3312 (all A (v4_membered(A) -> v3_membered(A))) # label(cc2_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3313 (all A all B (v5_membered(B) & v5_membered(A) -> v2_membered(k2_xboole_0(A,B)) & v3_membered(k2_xboole_0(A,B)) & v5_membered(k2_xboole_0(A,B)) & v4_membered(k2_xboole_0(A,B)) & v1_membered(k2_xboole_0(A,B)))) # label(fc26_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3314 (all A (v1_rat_1(A) -> v1_membered(k1_tarski(A)) & v3_membered(k1_tarski(A)) & v2_membered(k1_tarski(A)))) # label(fc9_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3315 (all A (v5_membered(A) -> (all B (m1_subset_1(B,A) -> v1_xcmplx_0(B) & v4_ordinal2(B) & v1_int_1(B) & v1_rat_1(B) & v1_xreal_0(B))))) # label(cc14_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3316 (all A (v2_membered(A) -> (all B (v2_membered(B) -> ((all C (v1_xreal_0(C) -> (r2_hidden(C,B) <-> r2_hidden(C,A)))) <-> B = A))))) # label(d12_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.36	3317 (all A (v5_membered(A) -> (all B (v5_membered(B) -> ((all C (v4_ordinal2(C) -> -(r2_hidden(C,A) & r2_hidden(C,B)))) <-> r1_xboole_0(A,B)))))) # label(d20_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3318 (all A (v1_membered(A) -> (all B (v1_membered(B) -> (r1_xboole_0(A,B) <-> (all C (v1_xcmplx_0(C) -> -(r2_hidden(C,B) & r2_hidden(C,A))))))))) # label(d16_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3319 (exists A (v5_membered(A) & (all B (v4_ordinal2(B) -> (p1_s5_membered(B) <-> r2_hidden(B,A)))))) # label(s5_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3320 (all A all B (v5_membered(B) -> (r1_tarski(A,B) -> v5_membered(A)))) # label(t20_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3321 (all A all B (v2_membered(A) & v2_membered(B) -> v2_membered(k5_xboole_0(A,B)) & v1_membered(k5_xboole_0(A,B)))) # label(fc43_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3322 (all A ((all B (r2_hidden(B,A) -> v4_ordinal2(B))) <-> v5_membered(A))) # label(d5_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3323 (all A all B all C (v1_rat_1(A) & v1_rat_1(B) & v1_rat_1(C) -> v1_membered(k1_enumset1(A,B,C)) & v3_membered(k1_enumset1(A,B,C)) & v2_membered(k1_enumset1(A,B,C)))) # label(fc19_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3324 (all A (v3_membered(A) -> (all B (v3_membered(B) -> (r1_xboole_0(A,B) <-> (all C (v1_rat_1(C) -> -(r2_hidden(C,A) & r2_hidden(C,B))))))))) # label(d18_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3325 (all A (v2_membered(A) -> ((all B (v1_xreal_0(B) -> r2_hidden(B,A))) -> A = k1_numbers))) # label(t12_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3326 (all A all B (v2_membered(A) -> v2_membered(k3_xboole_0(A,B)) & v1_membered(k3_xboole_0(A,B)))) # label(fc29_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3327 (all A (m1_subset_1(A,k1_zfmisc_1(k3_numbers)) -> v1_membered(A) & v3_membered(A) & v2_membered(A))) # label(cc7_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3328 (all A all B (v3_membered(B) & v3_membered(A) -> v2_membered(k2_xboole_0(A,B)) & v3_membered(k2_xboole_0(A,B)) & v1_membered(k2_xboole_0(A,B)))) # label(fc24_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3329 (all A ((all B (r2_hidden(B,A) -> v2_membered(B))) -> v2_membered(k3_tarski(A)))) # label(t22_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3330 (all A (v5_membered(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> v1_membered(B) & v2_membered(B) & v3_membered(B) & v5_membered(B) & v4_membered(B))))) # label(cc20_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3331 (all A (v2_membered(A) & -v1_xboole_0(A) -> (exists B (r2_hidden(B,A) & v1_xreal_0(B))))) # label(t7_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3332 (exists A ((all B (v1_int_1(B) -> (p1_s4_membered(B) <-> r2_hidden(B,A)))) & v4_membered(A))) # label(s4_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3333 (all A all B (v1_membered(A) -> v1_membered(k3_xboole_0(B,A)))) # label(fc28_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3334 (all A all B all C (v1_xcmplx_0(C) & v1_xcmplx_0(B) & v1_xcmplx_0(A) -> v1_membered(k1_enumset1(A,B,C)))) # label(fc17_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3335 (all A (v1_membered(A) -> (all B (m1_subset_1(B,A) -> v1_xcmplx_0(B))))) # label(cc10_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3336 (all A (v3_membered(A) -> v2_membered(A))) # label(cc3_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3337 (exists A (-v1_xboole_0(A) & v1_membered(A) & v2_membered(A) & v3_membered(A) & v5_membered(A) & v4_membered(A))) # label(rc1_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3338 (all A (v5_membered(A) -> (all B (v5_membered(B) -> (A = B <-> (all C (v4_ordinal2(C) -> (r2_hidden(C,A) <-> r2_hidden(C,B))))))))) # label(d15_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3339 (all A all B (v5_membered(A) -> v2_membered(k4_xboole_0(A,B)) & v3_membered(k4_xboole_0(A,B)) & v5_membered(k4_xboole_0(A,B)) & v4_membered(k4_xboole_0(A,B)) & v1_membered(k4_xboole_0(A,B)))) # label(fc41_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3340 (all A all B (v4_membered(A) -> v1_membered(k4_xboole_0(A,B)) & v2_membered(k4_xboole_0(A,B)) & v4_membered(k4_xboole_0(A,B)) & v3_membered(k4_xboole_0(A,B)))) # label(fc40_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3341 (all A (v2_membered(A) -> (all B (v2_membered(B) -> (r1_xboole_0(A,B) <-> (all C (v1_xreal_0(C) -> -(r2_hidden(C,A) & r2_hidden(C,B))))))))) # label(d17_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3342 (all A all B (v2_membered(A) -> v1_membered(k3_xboole_0(B,A)) & v2_membered(k3_xboole_0(B,A)))) # label(fc30_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3343 (all A (v4_membered(A) -> ((all B (v1_int_1(B) -> r2_hidden(B,A))) -> A = k4_numbers))) # label(t14_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3344 (all A (v3_membered(A) -> (all B (m1_subset_1(B,A) -> v1_rat_1(B) & v1_xreal_0(B) & v1_xcmplx_0(B))))) # label(cc12_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3345 (all A all B (v4_membered(B) -> (r1_tarski(A,B) -> v4_membered(A)))) # label(t19_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3346 (all A (v4_ordinal2(A) -> v4_membered(k1_tarski(A)) & v5_membered(k1_tarski(A)) & v3_membered(k1_tarski(A)) & v2_membered(k1_tarski(A)) & v1_membered(k1_tarski(A)))) # label(fc11_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3347 (all A ((all B (r2_hidden(B,A) -> v3_membered(B))) -> v3_membered(k3_tarski(A)))) # label(t23_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3348 (all A (v4_membered(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> v1_membered(B) & v3_membered(B) & v4_membered(B) & v2_membered(B))))) # label(cc19_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3349 (exists A (v2_membered(A) & (all B (v1_xreal_0(B) -> (r2_hidden(B,A) <-> p1_s2_membered(B)))))) # label(s2_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3350 (all A (v2_membered(A) -> (all B (v2_membered(B) -> ((all C (v1_xreal_0(C) -> (r2_hidden(C,A) -> r2_hidden(C,B)))) <-> r1_tarski(A,B)))))) # label(d7_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3351 (all A (v1_membered(A) -> (all B (v1_membered(B) -> ((all C (v1_xcmplx_0(C) -> (r2_hidden(C,A) -> r2_hidden(C,B)))) <-> r1_tarski(A,B)))))) # label(d6_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3352 (all A (v5_membered(A) -> ((all B (v4_ordinal2(B) -> r2_hidden(B,A))) -> k5_numbers = A))) # label(t15_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3353 (all A all B (v2_membered(B) -> (r1_tarski(A,B) -> v2_membered(A)))) # label(t17_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3354 (all A all B (r2_hidden(B,A) & v2_membered(B) -> v2_membered(k1_setfam_1(A)))) # label(t27_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3355 (all A (v3_membered(A) -> r1_tarski(A,k3_numbers))) # label(t3_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3356 (all A (v1_xboole_0(A) -> v5_membered(A) & v4_membered(A) & v3_membered(A) & v2_membered(A) & v1_membered(A))) # label(cc15_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3357 (all A all B (v1_rat_1(B) & v1_rat_1(A) -> v3_membered(k2_tarski(A,B)) & v2_membered(k2_tarski(A,B)) & v1_membered(k2_tarski(A,B)))) # label(fc14_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3358 (all A ((all B (r2_hidden(B,A) -> v5_membered(B))) -> v5_membered(k3_tarski(A)))) # label(t25_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3359 (all A (v1_int_1(A) -> v1_membered(k1_tarski(A)) & v2_membered(k1_tarski(A)) & v3_membered(k1_tarski(A)) & v4_membered(k1_tarski(A)))) # label(fc10_membered) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3360 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (v2_funct_1(B) & r1_tarski(A,k1_relat_1(B)) -> r2_wellord2(A,k9_relat_1(B,A))))) # label(t60_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3361 $T # label(t9_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3362 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (r2_hidden(A,B) <-> -r1_tarski(B,A)))))) # label(t14_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3363 (all A all B all C (r1_tarski(A,B) & r2_wellord2(A,C) & r1_tarski(B,C) -> r2_wellord2(B,C) & r2_wellord2(A,B))) # label(t44_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3364 (all A np__1 = k4_card_1(k1_tarski(A))) # label(t79_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3365 (all A (v1_finset_1(A) -> v2_ordinal1(k1_card_1(A)) & v3_ordinal1(k1_card_1(A)) & v1_card_1(k1_card_1(A)) & v1_finset_1(k1_card_1(A)) & v1_ordinal1(k1_card_1(A)))) # label(fc2_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3366 (all A (k1_xboole_0 = A <-> r2_wellord2(A,k1_xboole_0))) # label(t46_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3367 $T # label(t31_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3368 (all A all B (v1_finset_1(A) & r2_wellord2(A,B) -> v1_finset_1(B))) # label(t68_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3369 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r1_tarski(k1_card_1(A),k1_card_1(B)) <-> r1_xreal_0(A,B)))))) # label(t72_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3370 $T # label(t37_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3371 (all A (v1_finset_1(A) -> m2_subset_1(k4_card_1(A),k1_numbers,k5_numbers))) # label(dt_k4_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3372 $T # label(d4_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3373 (all A all B all C (r2_hidden(C,B) & r2_hidden(A,B) -> r2_wellord2(k4_xboole_0(B,k1_tarski(A)),k4_xboole_0(B,k1_tarski(C))))) # label(t59_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3374 $T # label(t17_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3375 (all A exists B (r2_wellord2(A,B) & v3_ordinal1(B))) # label(t4_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3376 (all A all B (v1_card_1(B) -> (r2_hidden(A,B) -> r2_hidden(k1_card_1(A),B)))) # label(t25_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3377 $T # label(t53_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3378 (all A v1_card_1(k2_card_1(A))) # label(dt_k2_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3379 $T # label(t11_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3380 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r2_wellord2(A,B) -> A = B))))) # label(t64_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3381 (all A all B all C all D (r2_wellord2(A,B) & r2_hidden(C,A) & r2_hidden(D,B) -> r2_wellord2(k4_xboole_0(A,k1_tarski(C)),k4_xboole_0(B,k1_tarski(D))))) # label(t61_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3382 $T # label(d2_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3383 (all A (v3_ordinal1(A) -> r1_ordinal1(k1_card_1(A),A))) # label(t24_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3384 (all A r2_hidden(k1_card_1(A),k1_card_1(k1_zfmisc_1(A)))) # label(t30_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3385 $T # label(t10_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3386 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (B = A <-> r2_wellord2(A,B)))))) # label(t8_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3387 $T # label(t3_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3388 $T # label(t6_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3389 (exists A v1_card_1(A)) # label(rc1_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3390 $T # label(t75_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3391 $T # label(d3_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3392 (all A (m1_subset_1(A,k5_numbers) -> v3_ordinal1(A) & v1_xreal_0(A) & v1_card_1(A) & -v3_xreal_0(A) & v1_finset_1(A) & v1_xcmplx_0(A) & v4_ordinal2(A) & v2_ordinal1(A) & v1_ordinal1(A))) # label(cc3_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3393 (all A ((exists B (v3_ordinal1(B) & (all C (v3_ordinal1(C) -> (r2_wellord2(C,B) -> r1_ordinal1(B,C)))) & A = B)) <-> v1_card_1(A))) # label(d1_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3394 (all A all B (v1_card_1(B) -> ((all C (v1_card_1(C) -> (r2_hidden(k1_card_1(A),C) -> r1_tarski(B,C)))) & r2_hidden(k1_card_1(A),B) <-> k2_card_1(A) = B))) # label(d6_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3395 (all A all B ((exists C (v1_funct_1(C) & r1_tarski(k2_relat_1(C),B) & A = k1_relat_1(C) & v2_funct_1(C) & v1_relat_1(C))) <-> r1_tarski(k1_card_1(A),k1_card_1(B)))) # label(t26_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3396 $T # label(t18_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3397 (all A v1_card_1(k1_card_1(A))) # label(dt_k1_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3398 $T # label(d9_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3399 (all A all B (r2_wellord2(A,B) <-> k1_card_1(B) = k1_card_1(A))) # label(t21_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3400 (all A all B (v1_card_1(B) -> (r1_tarski(A,B) -> r1_tarski(k1_card_1(A),B)))) # label(t23_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3401 $T # label(dt_k3_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3402 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> k1_card_1(k1_nat_1(A,np__1)) = k2_card_1(k1_card_1(A)))) # label(t76_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3403 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r2_hidden(k3_card_1(A),k3_card_1(B)) <-> r2_hidden(A,B)))))) # label(t41_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3404 (all A (v1_finset_1(A) -> (all B (v1_finset_1(B) -> (r1_tarski(A,B) -> r1_xreal_0(k4_card_1(A),k4_card_1(B))))))) # label(t80_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3405 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r2_hidden(k1_card_1(A),k1_card_1(B)) <-> -r1_xreal_0(B,A)))))) # label(t73_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3406 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r1_xreal_0(A,B) <-> r1_ordinal1(A,B)))))) # label(t56_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3407 $T # label(t70_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3408 (all A (v1_finset_1(A) -> k1_card_1(A) = k4_card_1(A))) # label(redefinition_k4_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3409 (all A (v3_ordinal1(A) -> (all B ((exists C (v1_relat_1(C) & v5_ordinal1(C) & k1_relat_1(C) = k1_ordinal1(A) & (all D (v3_ordinal1(D) -> (v4_ordinal1(D) & r2_hidden(D,k1_ordinal1(A)) -> k1_xboole_0 = D | k1_funct_1(C,D) = k1_card_1(k8_ordinal2(k2_ordinal1(C,D)))))) & (all D (v3_ordinal1(D) -> (r2_hidden(k1_ordinal1(D),k1_ordinal1(A)) -> k2_card_1(k3_tarski(k1_tarski(k1_funct_1(C,D)))) = k1_funct_1(C,k1_ordinal1(D))))) & k1_funct_1(C,k1_xboole_0) = k1_card_1(k5_numbers) & B = k1_ordinal2(C) & v1_funct_1(C))) <-> B = k3_card_1(A))))) # label(d8_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3410 (all A -r2_wellord2(A,k1_zfmisc_1(A))) # label(t29_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3411 (all A k1_card_1(k1_tarski(A)) = k4_ordinal2) # label(t50_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3412 (all A (v3_ordinal1(A) -> r2_hidden(A,k2_card_1(A)))) # label(t36_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3413 (exists A (v1_ordinal1(A) & v1_card_1(A) & v1_finset_1(A) & v3_ordinal1(A) & v2_ordinal1(A))) # label(rc2_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3414 (all A all B (v1_card_1(B) -> (k1_card_1(A) = B <-> r2_wellord2(A,B)))) # label(d5_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3415 $T # label(t15_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3416 $T # label(t5_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3417 $T # label(t2_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3418 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (r2_hidden(A,B) <-> r1_tarski(A,B) & B != A))))) # label(t13_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3419 (all A (v1_card_1(A) -> v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A))) # label(cc1_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3420 (all A (v3_ordinal1(A) -> v1_card_1(k3_card_1(A)) & v3_ordinal1(k3_card_1(A)) & v2_ordinal1(k3_card_1(A)) & v1_ordinal1(k3_card_1(A)))) # label(fc1_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3421 (all A all B (r1_tarski(k1_zfmisc_1(A),B) -> -r2_wellord2(A,B) & r2_hidden(k1_card_1(A),k1_card_1(B)))) # label(t45_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3422 $T # label(t77_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3423 $T # label(t57_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3424 (all A (v3_ordinal1(A) -> k2_card_1(k3_card_1(A)) = k3_card_1(k1_ordinal1(A)))) # label(t39_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3425 $T # label(t1_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3426 $T # label(t55_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3427 (all A (v1_card_1(A) -> r2_hidden(A,k2_card_1(A)))) # label(t32_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3428 $T # label(t16_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3429 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (k1_card_1(A) = k1_card_1(B) -> A = B))))) # label(t71_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3430 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> k1_ordinal1(A) = k1_nat_1(A,np__1))) # label(t52_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3431 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> v1_finset_1(k1_card_1(A)) & v1_finset_1(A))) # label(t69_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3432 $T # label(t62_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3433 (all A (v1_finset_1(A) -> (all B (v1_finset_1(B) -> (r2_wellord2(A,B) -> k4_card_1(A) = k4_card_1(B)))))) # label(t81_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3434 $T # label(t63_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3435 (all A (v1_finset_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (k1_card_1(B) = k1_card_1(A) <-> B = k4_card_1(A)))))) # label(d11_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3436 (all A all B (r2_wellord2(A,k1_tarski(B)) <-> (exists C k1_tarski(C) = A))) # label(t48_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3437 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r1_tarski(k3_card_1(A),k3_card_1(B)) <-> r1_ordinal1(A,B)))))) # label(t43_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3438 $T # label(t67_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3439 $T # label(t20_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3440 (all A (v1_card_1(A) -> (p1_s1_card_1(A) -> p1_s1_card_1(k2_card_1(A))))) & (all A (v1_card_1(A) -> ((all B (v1_card_1(B) -> (r2_hidden(B,A) -> p1_s1_card_1(B)))) & v2_card_1(A) -> A = k1_xboole_0 | p1_s1_card_1(A)))) & p1_s1_card_1(k1_xboole_0) -> (all A (v1_card_1(A) -> p1_s1_card_1(A))) # label(s1_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3441 (all A r2_hidden(k1_card_1(k1_xboole_0),k2_card_1(A))) # label(t33_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3442 (all A all B (r1_tarski(k1_card_1(A),k1_card_1(B)) <-> (exists C (v1_funct_1(C) & r1_tarski(A,k2_relat_1(C)) & k1_relat_1(C) = B & v1_relat_1(C))))) # label(t28_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3443 $T # label(d10_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3444 $T # label(t12_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3445 (all A (v3_ordinal1(A) -> (v4_ordinal1(A) -> A = k1_xboole_0 | (all B (v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) -> ((all C (v3_ordinal1(C) -> (r2_hidden(C,A) -> k3_card_1(C) = k1_funct_1(B,C)))) & A = k1_relat_1(B) -> k1_card_1(k8_ordinal2(B)) = k3_card_1(A))))))) # label(t40_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3446 (all A all B (k1_card_1(B) = k1_card_1(A) -> k2_card_1(A) = k2_card_1(B))) # label(t34_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3447 (all A all B all C all D (r1_xboole_0(C,D) & r2_wellord2(B,D) & r2_wellord2(A,C) & r1_xboole_0(A,B) -> r2_wellord2(k2_xboole_0(A,B),k2_xboole_0(C,D)))) # label(t58_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3448 (all A (r2_hidden(A,k5_ordinal2) -> v1_card_1(A))) # label(t65_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3449 (all A (v1_card_1(A) -> (v2_card_1(A) <-> (all B (v1_card_1(B) -> A != k2_card_1(B)))))) # label(d7_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3450 (all A (v1_finset_1(A) & v1_card_1(A) -> (exists B (k1_card_1(B) = A & m2_subset_1(B,k1_numbers,k5_numbers))))) # label(t86_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3451 (all A all B (r2_wellord2(A,B) -> k2_card_1(B) = k2_card_1(A))) # label(t35_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3452 (all A all B (r1_tarski(A,B) -> r1_tarski(k1_card_1(A),k1_card_1(B)))) # label(t27_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3453 (all A -((all B (m2_subset_1(B,k1_numbers,k5_numbers) -> -r2_wellord2(A,B))) & v1_finset_1(A))) # label(t74_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3454 (all A (m1_subset_1(A,k5_numbers) -> v3_ordinal1(A) & v1_xcmplx_0(A) & -v3_xreal_0(A) & v1_card_1(A) & v1_xreal_0(A) & v4_ordinal2(A) & v2_ordinal1(A) & v1_ordinal1(A))) # label(cc2_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3455 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> k1_card_1(A) = A)) # label(t66_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3456 (all A (v1_finset_1(A) -> v1_finset_1(k2_card_1(A)))) # label(t82_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3457 (all A all B ((exists C k1_tarski(C) = A) <-> k1_card_1(k1_tarski(B)) = k1_card_1(A))) # label(t49_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3458 (all A (v1_card_1(A) -> ((all B (v1_card_1(B) -> (r2_hidden(B,A) -> p1_s2_card_1(B)))) -> p1_s2_card_1(A)))) -> (all A (v1_card_1(A) -> p1_s2_card_1(A))) # label(s2_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3459 (all A (v1_relat_1(A) -> (v2_wellord1(A) -> r2_wellord2(k3_relat_1(A),k2_wellord2(A))))) # label(t22_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3460 $T # label(t19_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3461 $T # label(t7_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3462 $T # label(t54_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3463 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (k3_card_1(B) = k3_card_1(A) -> B = A))))) # label(t42_card_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3464 (exists A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r2_hidden(B,k2_finseq_1(f1_s2_finseq_1)) -> k1_funct_1(A,B) = f2_s2_finseq_1(B)))) & k3_finseq_1(A) = f1_s2_finseq_1)) # label(s2_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3465 $T # label(t70_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3466 $T # label(t22_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3467 (exists A (v2_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A))) # label(rc5_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3468 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> (k3_finseq_1(B) = k3_finseq_1(A) & (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (r1_xreal_0(np__1,C) & r1_xreal_0(C,k3_finseq_1(A)) -> k1_funct_1(A,C) = k1_funct_1(B,C)))) -> B = A))))) # label(t18_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3469 (all A all B (m1_finseq_1(B,A) -> v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B))) # label(dt_m1_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3470 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (r1_xreal_0(A,B) -> k5_subset_1(k5_numbers,k2_finseq_1(B),k2_finseq_1(A)) = k2_finseq_1(A)))))) # label(t9_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3471 (all A k5_finseq_1(A) = k1_tarski(k4_tarski(np__1,A))) # label(d5_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3472 (all A (v1_finset_1(A) <-> (exists B (v1_relat_1(B) & A = k2_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B))))) # label(t73_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3473 (all A all B all C (v1_relat_1(C) & v1_finseq_1(C) & v1_funct_1(C) -> (np__2 = k3_finseq_1(C) & k1_funct_1(C,np__2) = B & k1_funct_1(C,np__1) = A <-> k10_finseq_1(A,B) = C))) # label(t61_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3474 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (k2_finseq_1(A) = k2_finseq_1(B) -> A = B))))) # label(t8_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3475 (all A (v1_relat_1(A) -> ((exists B (m2_subset_1(B,k1_numbers,k5_numbers) & k2_finseq_1(B) = k1_relat_1(A))) <-> v1_finseq_1(A)))) # label(d2_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3476 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (r1_tarski(A,B) -> r1_xreal_0(k3_finseq_1(A),k3_finseq_1(B))))))) # label(t84_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3477 $T # label(dt_k1_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3478 $T # label(dt_k5_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3479 (all A (v1_relat_1(A) -> v1_relat_1(k17_finseq_1(A)))) # label(dt_k17_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3480 $T # label(t1_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3481 $T # label(t30_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3482 $T # label(t2_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3483 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (k3_finseq_1(A) = np__0 <-> A = k1_xboole_0))) # label(t25_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3484 (all A all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> A = k1_funct_1(k7_finseq_1(B,k9_finseq_1(A)),k1_nat_1(k3_finseq_1(B),np__1)))) # label(t59_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3485 (all A all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) -> -((all D (m2_subset_1(D,k1_numbers,k5_numbers) -> -(A = D & r2_hidden(k1_nat_1(k3_finseq_1(C),D),k4_finseq_1(k7_finseq_1(C,B)))))) & r2_hidden(A,k4_finseq_1(B))))))) # label(t40_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3486 (all A all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> A = k1_funct_1(k7_finseq_1(k9_finseq_1(A),B),np__1))) # label(t58_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3487 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> -(r2_hidden(C,k4_finseq_1(k7_finseq_1(A,B))) & -r2_hidden(C,k4_finseq_1(A)) & (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> -(C = k1_nat_1(k3_finseq_1(A),D) & r2_hidden(D,k4_finseq_1(B)))))))))))) # label(t38_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3488 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> A = k4_card_1(k1_card_1(A)) & k4_card_1(A) = A)) # label(t78_finseq_1_AndLHS) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3489 (all A (v4_ordinal2(A) -> A = k4_card_1(k2_finseq_1(A)))) # label(t78_finseq_1_AndRHS) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3490 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> (k2_relat_1(B) = k2_relat_1(A) & v2_funct_1(A) & v2_funct_1(B) -> k3_finseq_1(B) = k3_finseq_1(A)))))) # label(t65_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3491 (all A exists B (m1_finseq_1(B,A) & v1_xboole_0(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_finset_1(B) & v2_funct_1(B) & v1_relat_1(B))) # label(rc4_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3492 (all A -(v1_finset_1(A) & (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> -r2_wellord2(A,k2_finseq_1(B)))))) # label(t77_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3493 (all A (v4_ordinal2(A) -> k2_finseq_1(A) = k1_finseq_1(A))) # label(redefinition_k2_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3494 (all A k9_finseq_1(A) = k5_finseq_1(A)) # label(redefinition_k9_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3495 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (k3_finseq_1(A) = np__0 <-> A = k6_finseq_1(B))))) # label(t32_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3496 (all A all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> -((all C (m2_subset_1(C,k1_numbers,k5_numbers) -> -(A = k4_tarski(C,k1_funct_1(B,C)) & r2_hidden(C,k4_finseq_1(B))))) & r2_hidden(A,B)))) # label(t16_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3497 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(A) -> v1_finset_1(k1_relat_1(A)))) # label(fc17_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3498 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) -> -(r1_xreal_0(k3_finseq_1(A),k3_finseq_1(C)) & (all E (v1_funct_1(E) & v1_finseq_1(E) & v1_relat_1(E) -> C != k7_finseq_1(A,E))) & k7_finseq_1(A,B) = k7_finseq_1(C,D)))))))))) # label(t64_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3499 (all A exists B m1_finseq_1(B,A)) # label(existence_m1_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3500 (all A (v4_ordinal2(A) -> r2_hidden(k2_xcmplx_0(A,np__1),k2_finseq_1(k2_xcmplx_0(A,np__1))))) # label(t6_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3501 (all A (v4_ordinal2(A) -> (all B all C (m2_finseq_1(C,B) -> m2_finseq_1(k7_relat_1(C,k2_finseq_1(A)),B))))) # label(t23_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3502 (all A (v1_relat_1(k9_finseq_1(A)) & v1_funct_1(k9_finseq_1(A)))) # label(dt_k9_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3503 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> k4_finseq_1(A) = k1_relat_1(A))) # label(redefinition_k4_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3504 $T # label(t13_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3505 p1_s3_finseq_1(k1_xboole_0) & (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (p1_s3_finseq_1(A) -> p1_s3_finseq_1(k7_finseq_1(A,k9_finseq_1(B))))))) -> (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> p1_s3_finseq_1(A))) # label(s3_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3506 (all A all B (m2_finseq_1(B,A) -> (all C (v4_ordinal2(C) -> (r1_xreal_0(k3_finseq_1(B),C) -> k16_finseq_1(A,B,C) = B))))) # label(t79_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3507 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B all C (p1_s1_finseq_1(A,B) & p1_s1_finseq_1(A,C) & r2_hidden(A,k2_finseq_1(f1_s1_finseq_1)) -> C = B)))) & (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> -((all B -p1_s1_finseq_1(A,B)) & r2_hidden(A,k2_finseq_1(f1_s1_finseq_1))))) -> (exists A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r2_hidden(B,k2_finseq_1(f1_s1_finseq_1)) -> p1_s1_finseq_1(B,k1_funct_1(A,B))))) & k4_finseq_1(A) = k2_finseq_1(f1_s1_finseq_1))) # label(s1_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3508 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (B = k9_finseq_1(A) <-> k1_funct_1(B,np__1) = A & k1_relat_1(B) = k2_finseq_1(np__1)))) # label(d8_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3509 $T # label(t67_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3510 (all A (v1_relat_1(A) & v1_funct_1(A) & v2_finseq_1(A) -> v1_relat_1(k15_finseq_1(A)) & v1_funct_1(k15_finseq_1(A)) & v1_finset_1(k15_finseq_1(A)) & v1_finseq_1(k15_finseq_1(A)))) # label(fc10_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3511 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (k1_xboole_0 = A <-> k1_xboole_0 = k2_relat_1(A)))) # label(t27_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3512 (all A all B (v1_relat_1(A) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) & -v1_xboole_0(B) & v1_finseq_1(A) & v1_funct_1(A) -> -v1_xboole_0(k7_finseq_1(A,B)) & v1_funct_1(k7_finseq_1(A,B)) & v1_finset_1(k7_finseq_1(A,B)) & v1_finseq_1(k7_finseq_1(A,B)) & v1_relat_1(k7_finseq_1(A,B)))) # label(fc13_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3513 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> A = k7_finseq_1(k1_xboole_0,A) & A = k7_finseq_1(A,k1_xboole_0))) # label(t47_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3514 (exists A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A))) # label(rc1_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3515 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> r1_tarski(k2_relat_1(A),k2_relat_1(k7_finseq_1(B,A))))))) # label(t43_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3516 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (k1_relat_1(A) = k2_finseq_1(B) <-> B = k3_finseq_1(A)))))) # label(d3_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3517 $T # label(dt_k11_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3518 (all A all B all C (m1_finseq_1(C,A) & m1_finseq_1(B,A) -> m2_finseq_1(k8_finseq_1(A,B,C),A))) # label(dt_k8_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3519 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (r2_hidden(A,k2_finseq_1(B)) <-> r1_xreal_0(np__1,A) & r1_xreal_0(A,B)))))) # label(t3_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3520 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) -> (r2_hidden(A,k4_finseq_1(B)) -> r2_hidden(k1_nat_1(k3_finseq_1(C),A),k4_finseq_1(k7_finseq_1(C,B)))))))))) # label(t41_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3521 (all A (v4_ordinal2(A) -> v1_finset_1(k1_finseq_1(A)))) # label(fc1_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3522 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v4_ordinal2(B) -> (all C (v4_ordinal2(C) -> (r2_hidden(k2_xcmplx_0(B,C),k2_finseq_1(k2_xcmplx_0(A,C))) -> r2_hidden(B,k2_finseq_1(k2_xcmplx_0(A,C))) & r2_hidden(B,k2_finseq_1(A)) | r1_xreal_0(B,np__0)))))))) # label(t82_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3523 (all A all B (m1_finseq_1(B,A) -> v1_xboole_0(k16_finseq_1(A,B,np__0)) & v1_funct_1(k16_finseq_1(A,B,np__0)) & v1_finset_1(k16_finseq_1(A,B,np__0)) & v1_finseq_1(k16_finseq_1(A,B,np__0)) & v2_funct_1(k16_finseq_1(A,B,np__0)) & v1_relat_1(k16_finseq_1(A,B,np__0)))) # label(fc15_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3524 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (r1_xreal_0(np__1,C) & r1_xreal_0(C,k3_finseq_1(B)) -> k1_funct_1(B,C) = k1_funct_1(k7_finseq_1(A,B),k1_nat_1(k3_finseq_1(A),C))))))))) # label(t86_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3525 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> -((all B (m1_subset_1(B,f1_s5_finseq_1) -> -p1_s5_finseq_1(A,B))) & r2_hidden(A,k2_finseq_1(f2_s5_finseq_1))))) -> (exists A (k4_finseq_1(A) = k2_finseq_1(f2_s5_finseq_1) & (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r2_hidden(B,k2_finseq_1(f2_s5_finseq_1)) -> p1_s5_finseq_1(B,k1_funct_1(A,B))))) & m2_finseq_1(A,f1_s5_finseq_1))) # label(s5_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3526 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> (r1_tarski(k2_relat_1(B),k1_relat_1(A)) -> v1_relat_1(k5_relat_1(B,A)) & v1_funct_1(k5_relat_1(B,A)) & v1_finseq_1(k5_relat_1(B,A))))))) # label(t20_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3527 (all A (v4_ordinal2(A) -> A = np__0 | r2_hidden(A,k2_finseq_1(A)))) # label(t5_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3528 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> A = k7_relat_1(k7_finseq_1(A,B),k4_finseq_1(A)))))) # label(t33_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3529 (all A m2_finseq_1(k14_finseq_1(A),k5_numbers)) # label(dt_k14_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3530 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r2_wellord2(k2_finseq_1(A),k2_finseq_1(B)) -> A = B))))) # label(t74_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3531 (all A (v4_ordinal2(A) -> (all B (-v1_xboole_0(B) -> (exists C (A = k3_finseq_1(C) & m2_finseq_1(C,B))))))) # label(t24_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3532 (all A k1_tarski(k4_tarski(np__1,A)) = k9_finseq_1(A)) # label(t52_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3533 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_finseq_1(C) & v1_relat_1(C) -> (C = k7_finseq_1(A,B) <-> k2_finseq_1(k1_nat_1(k3_finseq_1(A),k3_finseq_1(B))) = k4_finseq_1(C) & (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r2_hidden(D,k4_finseq_1(B)) -> k1_funct_1(B,D) = k1_funct_1(C,k1_nat_1(k3_finseq_1(A),D))))) & (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r2_hidden(D,k4_finseq_1(A)) -> k1_funct_1(A,D) = k1_funct_1(C,D))))))))))) # label(d7_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3534 (all A ((exists B (v4_ordinal2(B) & r1_tarski(A,k2_finseq_1(B)))) -> (all B (m2_finseq_1(B,k5_numbers) -> (k2_relat_1(B) = A & (all C (v4_ordinal2(C) -> (all D (v4_ordinal2(D) -> (all E (v4_ordinal2(E) -> (all F (v4_ordinal2(F) -> -(-r1_xreal_0(D,C) & r1_xreal_0(F,E) & F = k1_funct_1(B,D) & E = k1_funct_1(B,C) & r1_xreal_0(D,k3_finseq_1(B)) & r1_xreal_0(np__1,C)))))))))) <-> B = k14_finseq_1(A)))))) # label(d13_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3535 (all A all B all C (m1_finseq_1(B,A) & m1_finseq_1(C,A) -> k7_finseq_1(B,C) = k8_finseq_1(A,B,C))) # label(redefinition_k8_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3536 $T # label(t34_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3537 (all A (v1_xboole_0(k6_finseq_1(A)) & m2_finseq_1(k6_finseq_1(A),A))) # label(dt_k6_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3538 (all A (v1_relat_1(k5_finseq_1(A)) & v1_funct_1(k5_finseq_1(A)) & v1_finset_1(k5_finseq_1(A)) & v1_finseq_1(k5_finseq_1(A)))) # label(fc4_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3539 (all A exists B (m1_relset_1(B,k5_numbers,A) & v1_relat_1(B) & v1_funct_1(B) & v1_finset_1(B) & v1_finseq_1(B))) # label(rc2_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3540 $T # label(dt_k10_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3541 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (r1_tarski(k2_finseq_1(A),k2_finseq_1(B)) <-> r1_xreal_0(A,B)))))) # label(t7_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3542 (all A all B all C (v1_relat_1(k11_finseq_1(A,B,C)) & v1_funct_1(k11_finseq_1(A,B,C)) & v1_finseq_1(k11_finseq_1(A,B,C)) & v1_finset_1(k11_finseq_1(A,B,C)))) # label(fc8_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3543 (all A all B all C (k7_finseq_1(k9_finseq_1(A),k10_finseq_1(B,C)) = k11_finseq_1(A,B,C) & k7_finseq_1(k10_finseq_1(A,B),k9_finseq_1(C)) = k11_finseq_1(A,B,C))) # label(t60_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.37	3544 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v4_ordinal2(B) -> (all C (v4_ordinal2(C) -> (r2_hidden(B,k2_finseq_1(A)) -> r2_hidden(k2_xcmplx_0(B,C),k2_finseq_1(k2_xcmplx_0(A,C)))))))))) # label(t81_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3545 (exists A (v1_funct_1(A) & v1_finset_1(A) & v1_relat_1(A) & -v1_xboole_0(A))) # label(rc7_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3546 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (r1_xreal_0(np__1,C) & r1_xreal_0(C,k3_finseq_1(A)) -> k1_funct_1(A,C) = k1_funct_1(k7_finseq_1(A,B),C)))))))) # label(t85_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3547 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> k3_finseq_1(k7_finseq_1(A,B)) = k1_nat_1(k3_finseq_1(A),k3_finseq_1(B)))))) # label(t35_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3548 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C (m2_finseq_1(k7_finseq_1(A,B),C) -> m2_finseq_1(B,C) & m2_finseq_1(A,C))))))) # label(t50_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3549 (all A (v4_ordinal2(A) -> k2_finseq_1(A) = k4_xboole_0(k2_finseq_1(k2_xcmplx_0(A,np__1)),k1_tarski(k2_xcmplx_0(A,np__1))))) # label(t12_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3550 (all A r2_hidden(k1_xboole_0,k13_finseq_1(A))) # label(t66_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3551 (all A (v1_relat_1(A) & v1_funct_1(A) & v2_finseq_1(A) -> k15_finseq_1(A) = k5_relat_1(k14_finseq_1(k1_relat_1(A)),A))) # label(d14_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3552 (all A all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> (A = k1_funct_1(B,np__1) & np__1 = k3_finseq_1(B) <-> k9_finseq_1(A) = B))) # label(t57_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3553 (all A ((exists B (r1_tarski(A,k2_finseq_1(B)) & m2_subset_1(B,k1_numbers,k5_numbers))) -> (A = k1_xboole_0 <-> k1_xboole_0 = k14_finseq_1(A)))) # label(t72_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3554 (all A all B (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) & v1_funct_1(A) -> v1_relat_1(k7_finseq_1(A,B)) & v1_funct_1(k7_finseq_1(A,B)) & v1_finseq_1(k7_finseq_1(A,B)))) # label(dt_k7_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3555 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> (all C (v4_ordinal2(C) -> (r1_xreal_0(C,k3_finseq_1(k7_finseq_1(A,B))) -> r1_xreal_0(C,k3_finseq_1(A)) | k1_funct_1(k7_finseq_1(A,B),C) = k1_funct_1(B,k6_xcmplx_0(C,k3_finseq_1(A)))))))))) # label(t37_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3556 (exists A (v1_funct_1(A) & v2_funct_1(A) & v1_finset_1(A) & v1_relat_1(A) & v1_xboole_0(A))) # label(rc6_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3557 (all A all B (v1_funct_1(k10_finseq_1(A,B)) & v1_relat_1(k10_finseq_1(A,B)))) # label(fc5_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3558 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> v2_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A))) # label(t68_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3559 (exists A all B (r2_hidden(B,A) <-> (exists C (r2_hidden(C,k13_finseq_1(f1_s4_finseq_1)) & p1_s4_finseq_1(C) & C = B & v1_finseq_1(C) & v1_funct_1(C) & v1_relat_1(C))))) # label(s4_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3560 $T # label(t51_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3561 $T # label(t28_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3562 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (B = k17_finseq_1(A) <-> (all C all D (r2_hidden(C,k3_relat_1(A)) & (exists E (v1_relat_1(E) & C = k1_funct_1(E,np__1) & (all F (m2_subset_1(F,k1_numbers,k5_numbers) -> (r1_xreal_0(np__1,F) -> r1_xreal_0(k3_finseq_1(E),F) | r2_hidden(k4_tarski(k1_funct_1(E,F),k1_funct_1(E,k1_nat_1(F,np__1))),A)))) & k1_funct_1(E,k3_finseq_1(E)) = D & r1_xreal_0(np__1,k3_finseq_1(E)) & v1_finseq_1(E) & v1_funct_1(E))) & r2_hidden(D,k3_relat_1(A)) <-> r2_hidden(k4_tarski(C,D),B)))))))) # label(d16_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3563 (all A all B all C k7_finseq_1(k7_finseq_1(k9_finseq_1(A),k9_finseq_1(B)),k9_finseq_1(C)) = k11_finseq_1(A,B,C)) # label(d10_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3564 (all A exists B m2_finseq_1(B,A)) # label(existence_m2_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3565 (all A -v1_xboole_0(k13_finseq_1(A))) # label(fc9_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3566 (all A (v4_ordinal2(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> v1_relat_1(k7_relat_1(B,k2_finseq_1(A))) & v1_funct_1(k7_relat_1(B,k2_finseq_1(A))) & v1_finseq_1(k7_relat_1(B,k2_finseq_1(A))))))) # label(t19_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3567 $T # label(dt_k13_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3568 (all A (v1_funct_1(A) & v2_finseq_1(A) & v1_relat_1(A) -> k1_relat_1(A) = k2_relat_1(k14_finseq_1(k1_relat_1(A))))) # label(t71_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3569 (all A all B all C (v1_relat_1(k11_finseq_1(A,B,C)) & v1_funct_1(k11_finseq_1(A,B,C)))) # label(fc6_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3570 (all A k1_xboole_0 = k6_finseq_1(A)) # label(d6_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3571 (all A (v4_ordinal2(A) -> m1_subset_1(k2_finseq_1(A),k1_zfmisc_1(k5_numbers)))) # label(dt_k2_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3572 (all A all B all C all D (v1_relat_1(D) & v1_finseq_1(D) & v1_funct_1(D) -> (B = k1_funct_1(D,np__2) & k1_funct_1(D,np__3) = C & A = k1_funct_1(D,np__1) & np__3 = k3_finseq_1(D) <-> D = k11_finseq_1(A,B,C)))) # label(t62_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3573 (all A all B (r1_tarski(A,B) -> r1_tarski(k13_finseq_1(A),k13_finseq_1(B)))) # label(t83_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3574 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> r2_wellord2(k2_finseq_1(A),A))) # label(t75_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3575 $T # label(t49_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3576 (all A all B (v1_relat_1(k10_finseq_1(A,B)) & v1_finset_1(k10_finseq_1(A,B)) & v1_finseq_1(k10_finseq_1(A,B)) & v1_funct_1(k10_finseq_1(A,B)))) # label(fc7_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3577 (all A (v1_relat_1(A) & v1_funct_1(A) -> ((exists B (m2_subset_1(B,k1_numbers,k5_numbers) & r1_tarski(k1_relat_1(A),k2_finseq_1(B)))) <-> v2_finseq_1(A)))) # label(d12_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3578 (all A all B (m2_finseq_1(B,A) -> (all C (v4_ordinal2(C) -> k7_relat_1(B,k2_finseq_1(C)) = k16_finseq_1(A,B,C))))) # label(d15_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3579 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> r1_tarski(k2_relat_1(A),k2_relat_1(k7_finseq_1(A,B))))))) # label(t42_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3580 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> v1_funct_1(A) & v1_finset_1(A) & v1_relat_1(A))) # label(cc1_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3581 (exists A (-v1_xboole_0(A) & v1_finseq_1(A) & v1_finset_1(A) & v1_funct_1(A) & v1_relat_1(A))) # label(rc8_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3582 (all A (v1_relat_1(k5_finseq_1(A)) & v1_funct_1(k5_finseq_1(A)))) # label(fc3_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3583 $T # label(t54_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3584 (all A (v4_ordinal2(A) -> k2_xboole_0(k2_finseq_1(A),k1_tarski(k2_xcmplx_0(A,np__1))) = k2_finseq_1(k2_xcmplx_0(A,np__1)))) # label(t11_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3585 (all A all B (v4_ordinal2(B) -> ((exists C (r1_xreal_0(np__1,C) & r1_xreal_0(C,B) & A = C & m2_subset_1(C,k1_numbers,k5_numbers))) <-> r2_hidden(A,a_1_0_finseq_1(B))))) # label(fraenkel_a_1_0_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3586 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> m1_subset_1(k4_finseq_1(A),k1_zfmisc_1(k5_numbers)))) # label(dt_k4_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3587 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_finseq_1(C) & v1_relat_1(C) -> k7_finseq_1(k7_finseq_1(A,B),C) = k7_finseq_1(A,k7_finseq_1(B,C)))))))) # label(t45_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3588 (all A (-v1_xboole_0(k5_finseq_1(A)) & v1_funct_1(k5_finseq_1(A)) & v1_finseq_1(k5_finseq_1(A)) & v1_finset_1(k5_finseq_1(A)) & v1_relat_1(k5_finseq_1(A)))) # label(fc12_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3589 (exists A (v1_finseq_1(A) & v1_finset_1(A) & v2_funct_1(A) & v1_funct_1(A) & v1_relat_1(A) & v1_xboole_0(A))) # label(rc3_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3590 $T # label(t31_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3591 (all A all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (k1_tarski(A) = k2_relat_1(B) & k4_finseq_1(B) = k2_finseq_1(np__1) <-> B = k9_finseq_1(A)))) # label(t55_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3592 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_finseq_1(C) & v1_funct_1(C) -> (k7_finseq_1(C,B) = k7_finseq_1(A,B) | k7_finseq_1(B,C) = k7_finseq_1(B,A) -> A = C))))))) # label(t46_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3593 (all A all B (v1_funct_1(A) & -v1_xboole_0(B) & v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) & v1_finseq_1(A) & v1_relat_1(A) -> -v1_xboole_0(k7_finseq_1(B,A)) & v1_relat_1(k7_finseq_1(B,A)) & v1_finseq_1(k7_finseq_1(B,A)) & v1_finset_1(k7_finseq_1(B,A)) & v1_funct_1(k7_finseq_1(B,A)))) # label(fc14_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3594 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> r1_tarski(k4_finseq_1(A),k4_finseq_1(k7_finseq_1(A,B))))))) # label(t39_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3595 (all A all B (m2_finseq_1(B,A) -> (all C (v4_ordinal2(C) -> (r1_xreal_0(C,k3_finseq_1(B)) -> C = k3_finseq_1(k16_finseq_1(A,B,C))))))) # label(t80_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3596 (all A all B k7_finseq_1(k9_finseq_1(A),k9_finseq_1(B)) = k10_finseq_1(A,B)) # label(d9_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3597 (all A all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> (m1_finseq_1(B,A) <-> r1_tarski(k2_relat_1(B),A)))) # label(d4_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3598 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C (v4_ordinal2(C) -> (r1_xreal_0(k1_nat_1(k3_finseq_1(A),np__1),C) & r1_xreal_0(C,k1_nat_1(k3_finseq_1(A),k3_finseq_1(B))) -> k1_funct_1(k7_finseq_1(A,B),C) = k1_funct_1(B,k6_xcmplx_0(C,k3_finseq_1(A)))))))))) # label(t36_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3599 (all A (v1_finset_1(A) & v1_relat_1(A) -> v1_finset_1(k2_relat_1(A)))) # label(fc11_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3600 (all A (v4_ordinal2(A) -> k1_finseq_1(A) = a_1_0_finseq_1(A))) # label(d1_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3601 (all A (v2_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> v1_funct_1(k15_finseq_1(A)) & v1_relat_1(k15_finseq_1(A)))) # label(dt_k15_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3602 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> -(k1_xboole_0 != A & (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C k7_finseq_1(B,k9_finseq_1(C)) != A)))))) # label(t63_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3603 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> m2_subset_1(k3_finseq_1(A),k1_numbers,k5_numbers))) # label(dt_k3_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3604 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (k2_finseq_1(A) = k5_subset_1(k5_numbers,k2_finseq_1(A),k2_finseq_1(B)) -> r1_xreal_0(A,B)))))) # label(t10_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3605 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,A) -> m2_finseq_1(k12_finseq_1(A,B),A))) # label(dt_k12_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3606 (all A all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> v1_funct_1(k7_relat_1(B,A)) & v1_relat_1(k8_relat_1(A,B)) & v2_finseq_1(k8_relat_1(A,B)) & v1_funct_1(k8_relat_1(A,B)) & v2_finseq_1(k7_relat_1(B,A)) & v1_relat_1(k7_relat_1(B,A)))) # label(t69_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3607 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> k2_xboole_0(k2_relat_1(A),k2_relat_1(B)) = k2_relat_1(k7_finseq_1(A,B)))))) # label(t44_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3608 (all A all B (B = k13_finseq_1(A) <-> (all C (m2_finseq_1(C,A) <-> r2_hidden(C,B))))) # label(d11_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3609 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> k3_finseq_1(A) = k1_card_1(A))) # label(redefinition_k3_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3610 $T # label(t53_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3611 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> k1_card_1(k2_finseq_1(A)) = k1_card_1(A))) # label(t76_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3612 (all A (v4_ordinal2(A) -> (all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_finseq_1(C) & v1_relat_1(C) -> (r1_xreal_0(A,k3_finseq_1(B)) & C = k7_relat_1(B,k2_finseq_1(A)) -> k2_finseq_1(A) = k4_finseq_1(C) & k3_finseq_1(C) = A))))))) # label(t21_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3613 (all A (v1_fraenkel(k13_finseq_1(A)) & -v1_xboole_0(k13_finseq_1(A)))) # label(fc16_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3614 (all A m2_finseq_1(k1_xboole_0,A)) # label(t29_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3615 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,A) -> k12_finseq_1(A,B) = k5_finseq_1(B))) # label(redefinition_k12_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3616 (all A (v1_relat_1(A) & v1_funct_1(A) -> -((all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> -r1_tarski(A,B))) & (exists B (m2_subset_1(B,k1_numbers,k5_numbers) & r1_tarski(k1_relat_1(A),k2_finseq_1(B))))))) # label(t15_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3617 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> (k7_finseq_1(A,B) = k1_xboole_0 -> A = k1_xboole_0 & B = k1_xboole_0))))) # label(t48_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3618 (all A all B (v1_relat_1(A) & v1_finset_1(A) & v1_funct_1(A) -> v1_finset_1(k10_relat_1(A,B)))) # label(fc18_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3619 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (k1_xboole_0 = A <-> k1_xboole_0 = k4_finseq_1(A)))) # label(t26_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3620 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> ((all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (r2_hidden(C,k4_finseq_1(A)) -> k1_funct_1(A,C) = k1_funct_1(B,C)))) & k4_finseq_1(B) = k4_finseq_1(A) -> B = A))))) # label(t17_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3621 (all A all B (m2_finseq_1(B,A) <-> m1_finseq_1(B,A))) # label(redefinition_m2_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3622 (all A all B (m2_finseq_1(B,A) -> v1_funct_1(B) & v1_finseq_1(B) & m2_relset_1(B,k5_numbers,A))) # label(dt_m2_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3623 (all A all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> (k1_tarski(A) = k2_relat_1(B) & np__1 = k3_finseq_1(B) <-> B = k9_finseq_1(A)))) # label(t56_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3624 (all A all B all C (v4_ordinal2(C) & m1_finseq_1(B,A) -> m2_finseq_1(k16_finseq_1(A,B,C),A))) # label(dt_k16_finseq_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3625 (all A (v1_relat_1(A) -> (all B (r8_orders_1(A,B) <-> r9_orders_1(k4_relat_1(A),B))))) # label(t166_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3626 $T # label(t60_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3627 (all A (v1_relat_1(A) -> (all B all C (r1_orders_1(A,B) & r1_tarski(C,B) -> r1_orders_1(A,C))))) # label(t128_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3628 (all A (v1_relat_1(A) -> (all B (r4_relat_2(A,B) -> v4_relat_2(k2_wellord1(A,B)))))) # label(t184_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3629 (all A (v1_relat_1(A) -> (all B (r1_relat_2(A,B) -> r1_relat_2(k4_relat_1(A),B))))) # label(t189_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3630 $T # label(t58_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3631 (all A all B (v1_relat_1(B) -> (r7_relat_2(B,A) <-> r6_relat_2(B,A) & r1_relat_2(B,A)))) # label(t92_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3632 (all A (v1_relat_1(A) -> (all B (v6_relat_2(A) & r7_orders_1(A,B) -> r9_orders_1(A,B))))) # label(t159_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3633 $T # label(t144_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3634 (all A (v1_relat_1(A) -> (all B (r2_wellord1(A,B) -> r3_orders_1(A,B) & r2_orders_1(A,B) & r1_orders_1(A,B))))) # label(t124_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3635 $T # label(t39_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3636 (all A (v1_relat_1(A) -> (v1_relat_2(A) & v8_relat_2(A) & v4_relat_2(A) <-> v2_orders_1(A)))) # label(d4_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3637 (all A (v1_relat_1(A) -> (v1_orders_1(A) -> v1_orders_1(k4_relat_1(A))))) # label(t104_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3638 (all A (v1_relat_1(A) -> (all B (r1_orders_1(A,B) -> r1_orders_1(k4_relat_1(A),B))))) # label(t136_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3639 $T # label(t43_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3640 $T # label(t15_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3641 (all A (v1_relat_1(A) -> (v3_orders_1(A) <-> v1_relat_2(A) & v8_relat_2(A) & v6_relat_2(A) & v4_relat_2(A)))) # label(d5_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3642 $T # label(t170_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3643 (all A (-v1_xboole_0(A) -> -r2_hidden(k1_xboole_0,k1_orders_1(A)))) # label(t4_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3644 $T # label(t68_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3645 (all A (v1_relat_1(A) -> (all B (r8_orders_1(A,B) & v4_relat_2(A) -> r6_orders_1(A,B))))) # label(t158_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3646 (all A (v1_relat_1(A) -> (v2_wellord1(A) -> v1_orders_1(A) & v3_orders_1(A) & v2_orders_1(A)))) # label(t107_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3647 $T # label(t69_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3648 $T # label(t10_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3649 (all A (v1_relat_1(A) -> (all B (r2_hidden(B,k3_relat_1(A)) & (all C (r2_hidden(C,k3_relat_1(A)) -> r2_hidden(k4_tarski(B,C),A) | B = C)) <-> r9_orders_1(A,B))))) # label(d14_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3650 $T # label(t32_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3651 (all A (v1_relat_1(A) -> (v1_orders_1(A) -> r1_orders_1(A,k3_relat_1(A))))) # label(t127_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3652 (all A (v1_relat_1(A) -> (all B (r6_orders_1(A,B) <-> r7_orders_1(k4_relat_1(A),B))))) # label(t164_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3653 (all A (v1_relat_1(A) -> (all B (r2_orders_1(A,B) -> v1_relat_2(k2_wellord1(A,B)) & v4_relat_2(k2_wellord1(A,B)) & v1_partfun1(k2_wellord1(A,B),B,B) & m2_relset_1(k2_wellord1(A,B),B,B) & v8_relat_2(k2_wellord1(A,B)))))) # label(t141_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3654 $T # label(t147_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3655 $T # label(t171_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3656 $T # label(t80_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3657 (all A (v1_relat_1(A) -> (all B (r2_orders_1(A,B) -> r1_orders_1(A,B))))) # label(t126_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3658 $T # label(t49_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3659 (all A (v1_relat_1(A) -> (all B all C (r2_orders_1(A,B) & r1_tarski(C,B) -> r2_orders_1(A,C))))) # label(t131_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3660 $T # label(t90_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3661 $T # label(t53_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3662 $T # label(t45_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3663 $T # label(t57_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3664 $T # label(t87_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3665 (all A (v1_relat_1(A) -> (all B (r2_orders_1(A,B) -> r2_orders_1(k4_relat_1(A),B))))) # label(t137_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3666 (all A (v1_relat_1(A) -> (all B (r6_relat_2(A,B) -> r6_relat_2(k4_relat_1(A),B))))) # label(t192_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3667 (all A (v1_relat_1(A) -> (all B (r4_orders_1(A,B) <-> r5_orders_1(k4_relat_1(A),B))))) # label(t151_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3668 (all A (v1_relat_1(A) -> (all B (r9_orders_1(A,B) <-> r8_orders_1(k4_relat_1(A),B))))) # label(t165_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3669 $T # label(t36_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3670 (all A all B all C (v1_relat_1(C) -> (r4_relat_2(C,A) & r1_tarski(B,A) -> r4_relat_2(C,B)))) # label(t94_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3671 $T # label(t102_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3672 $T # label(t9_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3673 (all A (v1_relat_1(A) -> (all B (r3_orders_1(A,B) <-> r1_relat_2(A,B) & r6_relat_2(A,B) & r4_relat_2(A,B) & r8_relat_2(A,B))))) # label(d8_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3674 $T # label(t145_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3675 (all A (-v1_xboole_0(A) -> (-r2_hidden(k1_xboole_0,A) -> (all B (v1_funct_1(B) & v1_funct_2(B,A,k3_tarski(A)) & m2_relset_1(B,A,k3_tarski(A)) -> (m1_orders_1(B,A) <-> (all C (r2_hidden(C,A) -> r2_hidden(k1_funct_1(B,C),C))))))))) # label(d1_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3676 $T # label(t25_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3677 (all A all B all C (v1_relat_1(C) -> (r1_tarski(B,A) & r7_relat_2(C,A) -> r7_relat_2(C,B)))) # label(t96_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3678 (all A (v1_relat_1(A) -> (all B all C (r2_hidden(B,C) & r9_orders_1(A,B) & v1_relat_2(A) & r1_tarski(C,k3_relat_1(A)) -> r5_orders_1(A,C))))) # label(t162_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3679 $T # label(t83_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3680 (all A (v1_relat_1(A) -> (all B (v2_orders_1(A) -> v2_orders_1(k2_wellord1(A,B)))))) # label(t114_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3681 (all A (v1_relat_1(A) -> r1_tarski(A,k2_zfmisc_1(k3_relat_1(A),k3_relat_1(A))))) # label(t180_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3682 $T # label(t101_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3683 $T # label(t37_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3684 $T # label(t155_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3685 (all A (v1_relat_1(A) -> (all B (v3_orders_1(A) -> v3_orders_1(k2_wellord1(A,B)))))) # label(t115_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3686 $T # label(t40_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3687 (all A (v1_relat_1(A) -> (all B (v6_relat_2(A) & r6_orders_1(A,B) -> r8_orders_1(A,B))))) # label(t160_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3688 $T # label(t62_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3689 $T # label(t29_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3690 $T # label(t21_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3691 (all A (v1_relat_1(A) -> (all B (r3_orders_1(A,B) -> v3_orders_1(k2_wellord1(A,B)))))) # label(t135_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3692 (all A -(k1_xboole_0 != A & (all B -((all C -(r2_hidden(C,A) & (all D (r2_hidden(D,B) -> r1_tarski(D,C))))) & v6_ordinal1(B) & r1_tarski(B,A))) & (all B -((all C -(r1_tarski(B,C) & B != C & r2_hidden(C,A))) & r2_hidden(B,A))))) # label(t175_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3693 $T # label(t61_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3694 (all A (v1_relat_1(A) -> (all B (r8_orders_1(A,B) <-> r2_hidden(B,k3_relat_1(A)) & (all C (r2_hidden(C,k3_relat_1(A)) -> B = C | r2_hidden(k4_tarski(C,B),A))))))) # label(d13_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3695 $T # label(t1_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3696 $T # label(t117_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3697 $T # label(t72_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3698 $T # label(t35_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3699 (all A all B (v4_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v1_relat_2(B) -> A = k3_relat_1(B))) # label(t100_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3700 $T # label(t48_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3701 (all A -((all B (v6_ordinal1(B) & r1_tarski(B,A) -> B = k1_xboole_0 | r2_hidden(k3_tarski(B),A))) & (all B -(r2_hidden(B,A) & (all C -(r1_tarski(B,C) & B != C & r2_hidden(C,A))))) & k1_xboole_0 != A)) # label(t177_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3702 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B -(v1_finset_1(B) & r1_tarski(B,k2_relat_1(A)) & (all C -(v1_finset_1(C) & B = k9_relat_1(A,C) & r1_tarski(C,k1_relat_1(A)))))))) # label(t195_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3703 (all A (v1_relat_1(A) -> (all B (r2_hidden(B,k3_relat_1(A)) & (all C -(r2_hidden(C,k3_relat_1(A)) & r2_hidden(k4_tarski(B,C),A) & B != C)) <-> r6_orders_1(A,B))))) # label(d11_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3704 $T # label(t42_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3705 $T # label(t148_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3706 (all A (v1_relat_1(A) -> (all B ((all C -(r2_hidden(C,k3_relat_1(A)) & B != C & r2_hidden(k4_tarski(C,B),A))) & r2_hidden(B,k3_relat_1(A)) <-> r7_orders_1(A,B))))) # label(d12_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3707 (all A all B (v4_relat_2(B) & v8_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v1_relat_2(B) -> A = k5_relset_1(A,A,B) & A = k4_relset_1(A,A,B))) # label(t99_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3708 (all A (v1_relat_1(A) -> k2_wellord1(A,k1_xboole_0) = k1_xboole_0)) # label(t194_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3709 $T # label(t81_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.81/15.38	3710 (all A all B (v8_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v4_relat_2(B) & v1_relat_2(B) -> (v6_relat_2(B) -> v3_orders_1(B)))) # label(t112_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.41	3711 (all A (v1_relat_1(A) -> (v2_orders_1(A) -> v2_orders_1(k4_relat_1(A))))) # label(t105_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.41	3712 (all A all B all C (v1_relat_1(C) -> (r8_relat_2(C,A) & r1_tarski(B,A) -> r8_relat_2(C,B)))) # label(t95_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.41	3713 $T # label(t153_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.41	3714 $T # label(t63_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.41	3715 $T # label(t123_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.41	3716 (all A (v1_relat_1(A) -> (all B (r2_orders_1(A,B) -> v2_orders_1(k2_wellord1(A,B)))))) # label(t132_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.41	3717 $T # label(t59_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.41	3718 (all A (v1_relat_1(A) -> (v3_orders_1(A) -> v2_orders_1(A) & v1_orders_1(A)))) # label(t108_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.41	3719 $T # label(t26_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.41	3720 $T # label(t65_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.41	3721 $T # label(t84_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.41	3722 $T # label(t74_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.41	3723 (all A all B (m2_relset_1(B,A,A) -> (r1_relat_2(B,A) -> k3_relat_1(B) = A & A = k4_relset_1(A,A,B)))) # label(t98_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.41	3724 (all A (v1_relat_1(A) -> (v1_relat_2(A) & v8_relat_2(A) <-> v1_orders_1(A)))) # label(d3_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.41	3725 (all A all B (v8_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v4_relat_2(B) & v1_relat_2(B) -> v1_orders_1(B))) # label(t111_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.41	3726 (all A all B (v8_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v4_relat_2(B) & v1_relat_2(B) -> v2_orders_1(B))) # label(t110_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.41	3727 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (m1_subset_1(A,k1_zfmisc_1(B)) <-> r2_hidden(A,k1_orders_1(B))))))) # label(t6_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.41	3728 $T # label(t169_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.41	3729 (all A k1_orders_1(A) = k4_xboole_0(k1_zfmisc_1(A),k1_tarski(k1_xboole_0))) # label(d2_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.41	3730 $T # label(t16_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.41	3731 (all A all B all C all D all E (v1_relat_2(E) & v1_partfun1(E,A,A) & m2_relset_1(E,A,A) & v8_relat_2(E) & v4_relat_2(E) -> (r2_hidden(B,A) & r2_hidden(C,A) & r2_hidden(k4_tarski(B,C),E) & r2_hidden(k4_tarski(C,D),E) & r2_hidden(D,A) -> r2_hidden(k4_tarski(B,D),E)))) # label(t14_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.41	3732 (all A -((all B (m1_subset_1(B,f1_s2_orders_1) -> (all C (m1_subset_1(C,f1_s2_orders_1) -> -(-p1_s2_orders_1(C,B) & -p1_s2_orders_1(B,C) & r2_hidden(C,A) & r2_hidden(B,A)))))) & (all B (m1_subset_1(B,f1_s2_orders_1) -> (exists C (-p1_s2_orders_1(B,C) & r2_hidden(C,A) & m1_subset_1(C,f1_s2_orders_1))))) & r1_tarski(A,f1_s2_orders_1))) & (all A (m1_subset_1(A,f1_s2_orders_1) -> (all B (m1_subset_1(B,f1_s2_orders_1) -> (all C (m1_subset_1(C,f1_s2_orders_1) -> (p1_s2_orders_1(A,B) & p1_s2_orders_1(B,C) -> p1_s2_orders_1(A,C)))))))) & (all A (m1_subset_1(A,f1_s2_orders_1) -> (all B (m1_subset_1(B,f1_s2_orders_1) -> (p1_s2_orders_1(B,A) & p1_s2_orders_1(A,B) -> A = B))))) & (all A (m1_subset_1(A,f1_s2_orders_1) -> p1_s2_orders_1(A,A))) -> (exists A ((all B (m1_subset_1(B,f1_s2_orders_1) -> -(p1_s2_orders_1(B,A) & B != A))) & m1_subset_1(A,f1_s2_orders_1))) # label(s2_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.41	3733 (all A (v1_relat_1(A) -> (all B all C (v1_relat_2(A) & r1_tarski(C,k3_relat_1(A)) & r8_orders_1(A,B) & r2_hidden(B,C) -> r4_orders_1(A,C))))) # label(t161_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3734 $T # label(t73_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3735 $T # label(t64_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3736 (all A (v1_relat_1(A) -> (all B all C (r1_tarski(C,B) & r6_relat_2(A,B) -> r6_relat_2(A,C))))) # label(t186_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3737 $T # label(t89_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3738 (all A (-v1_xboole_0(A) -> r2_hidden(A,k1_orders_1(A)))) # label(t7_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3739 (all A (-v1_xboole_0(A) -> (all B (m1_orders_1(B,A) -> m2_relset_1(B,A,k3_tarski(A)) & v1_funct_2(B,A,k3_tarski(A)) & v1_funct_1(B))))) # label(dt_m1_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3740 $T # label(t156_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3741 $T # label(t70_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3742 (all A (m1_subset_1(A,f1_s1_orders_1) -> (all B (m1_subset_1(B,f1_s1_orders_1) -> (all C (m1_subset_1(C,f1_s1_orders_1) -> (p1_s1_orders_1(A,B) & p1_s1_orders_1(B,C) -> p1_s1_orders_1(A,C)))))))) & (all A -(r1_tarski(A,f1_s1_orders_1) & (all B (m1_subset_1(B,f1_s1_orders_1) -> (all C (m1_subset_1(C,f1_s1_orders_1) -> -(r2_hidden(B,A) & r2_hidden(C,A) & -p1_s1_orders_1(C,B) & -p1_s1_orders_1(B,C)))))) & (all B (m1_subset_1(B,f1_s1_orders_1) -> (exists C (-p1_s1_orders_1(C,B) & r2_hidden(C,A) & m1_subset_1(C,f1_s1_orders_1))))))) & (all A (m1_subset_1(A,f1_s1_orders_1) -> (all B (m1_subset_1(B,f1_s1_orders_1) -> (p1_s1_orders_1(A,B) & p1_s1_orders_1(B,A) -> B = A))))) & (all A (m1_subset_1(A,f1_s1_orders_1) -> p1_s1_orders_1(A,A))) -> (exists A (m1_subset_1(A,f1_s1_orders_1) & (all B (m1_subset_1(B,f1_s1_orders_1) -> -(p1_s1_orders_1(A,B) & A != B))))) # label(s1_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3743 $T # label(t71_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3744 (all A (v1_relat_1(A) -> (all B (r3_orders_1(A,B) -> r3_orders_1(k4_relat_1(A),B))))) # label(t138_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3745 $T # label(t23_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3746 $T # label(t55_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3747 $T # label(t3_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3748 $T # label(t28_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3749 (all A (v1_relat_1(A) -> (all B all C (r1_tarski(C,B) & r3_orders_1(A,B) -> r3_orders_1(A,C))))) # label(t134_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3750 (all A (v1_relat_1(A) -> (all B (r3_orders_1(A,B) -> r1_orders_1(A,B) & r2_orders_1(A,B))))) # label(t125_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3751 (all A (v1_orders_1(k6_partfun1(A)) & v2_orders_1(k6_partfun1(A)))) # label(t120_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3752 (all A (-v1_xboole_0(A) -> (exists B m1_orders_1(B,A)))) # label(existence_m1_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3753 $T # label(t31_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3754 (all A (v1_relat_1(A) -> (all B (r4_orders_1(A,B) <-> (all C -(r1_tarski(C,B) & v3_orders_1(k2_wellord1(A,C)) & (all D -((all E (r2_hidden(E,C) -> r2_hidden(k4_tarski(E,D),A))) & r2_hidden(D,B))))))))) # label(d9_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3755 $T # label(t41_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3756 (all A (v1_relat_1(A) -> (all B (r1_orders_1(A,B) -> v1_orders_1(k2_wellord1(A,B)))))) # label(t129_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3757 $T # label(t11_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3758 (all A (r1_orders_1(k6_partfun1(A),A) & r2_orders_1(k6_partfun1(A),A))) # label(t146_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3759 (all A (v1_relat_1(A) -> (all B ((all C -(r1_tarski(C,B) & v3_orders_1(k2_wellord1(A,C)) & (all D -(r2_hidden(D,B) & (all E (r2_hidden(E,C) -> r2_hidden(k4_tarski(D,E),A))))))) <-> r5_orders_1(A,B))))) # label(d10_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3760 (all A (v1_relat_1(A) -> (v2_orders_1(A) -> v1_orders_1(A)))) # label(t109_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3761 $T # label(t85_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3762 $T # label(t8_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3763 $T # label(t46_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3764 (all A (-((exists B (r2_hidden(B,A) & k1_xboole_0 != B)) & k1_xboole_0 = k3_tarski(A)) & -(k3_tarski(A) != k1_xboole_0 & (all B -(r2_hidden(B,A) & k1_xboole_0 != B))))) # label(t91_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3765 (all A (v1_relat_1(A) -> (v6_relat_2(A) -> v6_relat_2(k4_relat_1(A))))) # label(t188_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3766 (all A (-v1_xboole_0(A) -> -v1_xboole_0(k1_orders_1(A)))) # label(fc1_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3767 (all A (v1_relat_1(A) -> (all B all C (r1_tarski(C,B) & r2_wellord1(A,B) -> r2_wellord1(A,C))))) # label(t187_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3768 (all A (v1_relat_1(A) -> (all B k4_relat_1(k2_wellord1(A,B)) = k2_wellord1(k4_relat_1(A),B)))) # label(t193_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3769 (all A (v1_relat_1(A) -> (all B (r3_orders_1(A,B) -> v1_relat_2(k2_wellord1(A,B)) & v8_relat_2(k2_wellord1(A,B)) & m2_relset_1(k2_wellord1(A,B),B,B) & v1_partfun1(k2_wellord1(A,B),B,B) & v4_relat_2(k2_wellord1(A,B)))))) # label(t142_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3770 (all A (v1_relat_1(A) -> (all B -(B = k3_relat_1(A) & (all C -r6_orders_1(A,C)) & r4_orders_1(A,B) & r2_orders_1(A,B))))) # label(t173_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3771 $T # label(t52_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3772 $T # label(t67_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3773 $T # label(t50_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3774 (all A (v1_relat_1(A) -> (all B (r1_relat_2(A,B) -> v1_relat_2(k2_wellord1(A,B)))))) # label(t182_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3775 $T # label(t86_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3776 $T # label(t167_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3777 (all A (v1_relat_1(A) -> (all B (r6_relat_2(A,B) -> v6_relat_2(k2_wellord1(A,B)))))) # label(t185_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3778 (all A (v1_relat_1(A) -> (v2_orders_1(A) -> r2_orders_1(A,k3_relat_1(A))))) # label(t130_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3779 (all A (v1_relat_1(A) -> (all B -(r2_orders_1(A,B) & (all C -r7_orders_1(A,C)) & r5_orders_1(A,B) & B = k3_relat_1(A))))) # label(t174_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3780 $T # label(t38_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3781 (all A all B all C (v1_relat_1(C) -> (r1_tarski(B,A) & r1_relat_2(C,A) -> r1_relat_2(C,B)))) # label(t93_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3782 (all A all B (v4_relat_2(B) & v8_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v1_relat_2(B) -> r1_orders_1(B,A))) # label(t139_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3783 (all A -((all B -((all C -((all D (r2_hidden(D,B) -> r1_tarski(C,D))) & r2_hidden(C,A))) & v6_ordinal1(B) & r1_tarski(B,A))) & (all B -(r2_hidden(B,A) & (all C -(r2_hidden(C,A) & C != B & r1_tarski(C,B))))) & k1_xboole_0 != A)) # label(t176_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3784 (all A (v1_relat_1(A) -> (all B (r7_orders_1(A,B) <-> r6_orders_1(k4_relat_1(A),B))))) # label(t163_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3785 (all A (v1_relat_1(A) -> (all B -(r4_orders_1(A,B) & k1_xboole_0 = B)))) # label(t149_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3786 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (r1_tarski(A,B) <-> r2_hidden(A,k1_orders_1(B))))))) # label(t5_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3787 $T # label(t30_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3788 $T # label(dt_k1_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3789 $T # label(t17_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3790 (all A (v1_relat_1(A) -> (all B (r5_orders_1(A,B) <-> r4_orders_1(k4_relat_1(A),B))))) # label(t152_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3791 (all A all B all C (v4_relat_2(C) & v1_partfun1(C,A,A) & m2_relset_1(C,A,A) & v8_relat_2(C) & v1_relat_2(C) -> (r2_hidden(B,A) -> r2_hidden(k4_tarski(B,B),C)))) # label(t12_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3792 $T # label(t18_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3793 (all A (v1_relat_1(A) -> (all B (v1_orders_1(A) -> v1_orders_1(k2_wellord1(A,B)))))) # label(t113_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3794 (all A (v1_relat_1(A) -> (all B (r1_tarski(B,k3_relat_1(A)) & v1_relat_2(A) -> B = k3_relat_1(k2_wellord1(A,B)))))) # label(t181_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3795 (all A -((all B -(r2_hidden(B,A) & (all C -(r1_tarski(C,B) & C != B & r2_hidden(C,A))))) & (all B (r1_tarski(B,A) & v6_ordinal1(B) -> r2_hidden(k1_setfam_1(B),A) | B = k1_xboole_0)) & A != k1_xboole_0)) # label(t178_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3796 (all A (v1_relat_1(A) -> (v3_orders_1(A) -> v3_orders_1(k4_relat_1(A))))) # label(t106_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3797 (all A all B (v4_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) & v1_relat_2(B) -> r2_orders_1(B,A))) # label(t140_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3798 $T # label(t168_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3799 (all A all B all C all D (m2_relset_1(D,A,A) & v1_partfun1(D,A,A) & v8_relat_2(D) & v4_relat_2(D) & v1_relat_2(D) -> (r2_hidden(C,A) & r2_hidden(k4_tarski(B,C),D) & r2_hidden(k4_tarski(C,B),D) & r2_hidden(B,A) -> B = C))) # label(t13_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3800 $T # label(t27_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3801 (all A (v1_relat_1(A) -> (all B (r8_relat_2(A,B) -> v8_relat_2(k2_wellord1(A,B)))))) # label(t183_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3802 $T # label(t56_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3803 $T # label(t51_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3804 $T # label(t34_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3805 $T # label(t118_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3806 $T # label(t33_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3807 $T # label(t44_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3808 $T # label(t19_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3809 $T # label(t154_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3810 $T # label(t78_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3811 $T # label(t103_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3812 $T # label(t76_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3813 $T # label(t47_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3814 $T # label(t66_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3815 (all A all B (v1_partfun1(B,A,A) & m2_relset_1(B,A,A) -> A = k3_relat_1(B))) # label(t97_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3816 (all A (v1_relat_1(A) -> (all B -(k3_relat_1(A) = B & (all C (v1_relat_1(C) -> -(r1_tarski(A,C) & r3_orders_1(C,B) & k3_relat_1(C) = B))) & r2_orders_1(A,B))))) # label(t179_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3817 $T # label(t122_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3818 (all A (v1_relat_1(A) -> (all B (r1_relat_2(A,B) & r4_relat_2(A,B) & r8_relat_2(A,B) <-> r2_orders_1(A,B))))) # label(d7_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3819 $T # label(t79_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3820 $T # label(t22_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3821 $T # label(t54_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3822 $T # label(t2_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3823 $T # label(t75_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3824 $T # label(t20_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3825 $T # label(t82_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3826 (all A (v1_relat_1(A) -> (all B (r1_orders_1(A,B) <-> r8_relat_2(A,B) & r1_relat_2(A,B))))) # label(d6_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3827 $T # label(t121_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3828 $T # label(t88_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3829 (all A (v1_relat_1(A) -> (v3_orders_1(A) -> r3_orders_1(A,k3_relat_1(A))))) # label(t133_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3830 $T # label(t77_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3831 (all A (v1_relat_1(A) -> (all B (r9_orders_1(A,B) & v4_relat_2(A) -> r7_orders_1(A,B))))) # label(t157_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3832 (all A (v1_relat_1(A) -> (all B (r8_relat_2(A,B) -> r8_relat_2(k4_relat_1(A),B))))) # label(t190_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3833 $T # label(t24_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3834 (all A (v1_relat_1(A) -> (all B (r2_wellord1(A,B) -> v1_relat_2(k2_wellord1(A,B)) & v4_relat_2(k2_wellord1(A,B)) & v8_relat_2(k2_wellord1(A,B)) & m2_relset_1(k2_wellord1(A,B),B,B) & v1_partfun1(k2_wellord1(A,B),B,B))))) # label(t143_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3835 (all A (v1_relat_1(A) -> (all B -(B = k1_xboole_0 & r5_orders_1(A,B))))) # label(t150_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3836 (all A (v1_relat_1(A) -> (all B (r4_relat_2(A,B) -> r4_relat_2(k4_relat_1(A),B))))) # label(t191_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3837 $T # label(t172_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3838 $T # label(t116_orders_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3839 $T # label(t10_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3840 (all A all B (v8_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) -> k6_partfun1(A) = k4_eqrel_1(A,k6_partfun1(A),B))) # label(t17_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3841 (all A all B all C (m1_relset_1(C,A,A) & m1_relset_1(B,A,A) -> m2_relset_1(k3_eqrel_1(A,B,C),A,A))) # label(dt_k3_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3842 (all A all B (v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) -> ((exists C k6_eqrel_1(A,B,C) = A) -> k1_eqrel_1(A) = B))) # label(t35_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3843 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (k1_xboole_0 = A -> (B = k1_xboole_0 <-> m1_eqrel_1(B,A))) & (k1_xboole_0 != A -> (m1_eqrel_1(B,A) <-> k5_setfam_1(A,B) = A & (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (r2_hidden(C,B) -> C != k1_xboole_0 & (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> -(r2_hidden(D,B) & -r1_xboole_0(C,D) & D != C)))))))))) # label(d6_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3844 (all A (v3_relat_2(k1_eqrel_1(A)) & v8_relat_2(k1_eqrel_1(A)) & v1_partfun1(k1_eqrel_1(A),A,A) & v1_relat_2(k1_eqrel_1(A)) & v1_relat_1(k1_eqrel_1(A)))) # label(fc2_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3845 (all A all B (v1_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) -> -(B = k1_xboole_0 & (exists C r2_hidden(C,A))))) # label(t14_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3846 (all A all B (v3_relat_2(B) & v8_relat_2(B) & m1_relset_1(B,A,A) & v1_partfun1(B,A,A) -> m1_subset_1(k7_eqrel_1(A,B),k1_zfmisc_1(k1_zfmisc_1(A))))) # label(dt_k7_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3847 (all A all B (v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A,A) & m1_relset_1(B,A,A) & -v1_xboole_0(A) -> v1_setfam_1(k7_eqrel_1(A,B)) & -v1_xboole_0(k7_eqrel_1(A,B)))) # label(fc4_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3848 (all A k2_zfmisc_1(A,A) = k1_eqrel_1(A)) # label(d1_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3849 (all A all B all C (v3_relat_2(C) & v1_partfun1(C,A,A) & m1_relset_1(C,A,A) & v8_relat_2(C) & m1_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) & v3_relat_2(B) -> k3_xboole_0(B,C) = k4_eqrel_1(A,B,C))) # label(redefinition_k4_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3850 (all A all B all C (v1_partfun1(B,A,A) & m1_relset_1(B,A,A) & v3_relat_2(C) & v8_relat_2(C) & v1_partfun1(C,A,A) & m1_relset_1(C,A,A) & v8_relat_2(B) & v3_relat_2(B) -> k4_eqrel_1(A,B,B) = B)) # label(idempotence_k4_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3851 (all A all B all C all D all E (v1_relat_2(E) & v8_relat_2(E) & v1_partfun1(E,A,A) & m2_relset_1(E,A,A) & v3_relat_2(E) -> (r2_hidden(B,k6_eqrel_1(A,E,C)) & r2_hidden(D,k6_eqrel_1(A,E,C)) -> r2_hidden(k4_tarski(B,D),E)))) # label(t30_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3852 (all A m2_relset_1(k1_eqrel_1(A),A,A)) # label(dt_k1_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3853 (all A all B all C (m2_relset_1(C,A,A) & v1_partfun1(C,A,A) & v8_relat_2(C) & v3_relat_2(C) -> (all D (r2_hidden(D,A) -> (r2_hidden(B,k6_eqrel_1(A,C,D)) <-> k6_eqrel_1(A,C,D) = k6_eqrel_1(A,C,B)))))) # label(t31_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3854 (all A (v1_relat_2(k1_eqrel_1(A)) & v1_partfun1(k1_eqrel_1(A),A,A) & v1_relat_1(k1_eqrel_1(A)))) # label(fc1_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3855 (all A all B all C all D (m2_relset_1(D,A,A) & v1_partfun1(D,A,A) & v3_relat_2(D) -> (r2_hidden(k4_tarski(B,C),D) -> r2_hidden(k4_tarski(C,B),D)))) # label(t12_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3856 (all A (v3_relat_2(k6_partfun1(A)) & v8_relat_2(k6_partfun1(A)) & v1_partfun1(k6_partfun1(A),A,A) & m2_relset_1(k6_partfun1(A),A,A))) # label(t6_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3857 $T # label(t21_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3858 $T # label(t9_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3859 (all A all B all C (v8_relat_2(B) & v1_partfun1(B,A,A) & v8_relat_2(C) & m1_relset_1(C,A,A) & v1_partfun1(C,A,A) & v3_relat_2(C) & m1_relset_1(B,A,A) & v3_relat_2(B) -> k5_eqrel_1(A,C,B) = k5_eqrel_1(A,B,C))) # label(commutativity_k5_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3860 (all A all B all C (m1_relset_1(C,A,A) & m1_relset_1(B,A,A) -> k2_eqrel_1(A,B,C) = k2_eqrel_1(A,C,B))) # label(commutativity_k2_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3861 (all A all B (m1_eqrel_1(B,A) -> m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))))) # label(dt_m1_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3862 (all A all B (m1_eqrel_1(B,A) -> (exists C (v1_partfun1(C,A,A) & m2_relset_1(C,A,A) & B = k7_eqrel_1(A,C) & v8_relat_2(C) & v3_relat_2(C))))) # label(t43_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3863 (all A all B all C (m1_relset_1(B,A,A) & m1_relset_1(C,A,A) -> k2_eqrel_1(A,B,B) = B)) # label(idempotence_k2_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3864 $T # label(t15_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3865 (all A all B (v3_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v8_relat_2(B) -> (all C (v8_relat_2(C) & m2_relset_1(C,A,A) & v1_partfun1(C,A,A) & v3_relat_2(C) -> (all D (v8_relat_2(D) & v1_partfun1(D,A,A) & m2_relset_1(D,A,A) & v3_relat_2(D) -> (k3_eqrel_1(A,B,C) = D -> (all E -(k6_eqrel_1(A,B,E) != k6_eqrel_1(A,D,E) & k6_eqrel_1(A,D,E) != k6_eqrel_1(A,C,E) & r2_hidden(E,A)))))))))) # label(t37_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3866 (all A all B (m2_relset_1(B,A,A) -> k2_eqrel_1(A,k1_eqrel_1(A),B) = B)) # label(t18_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3867 (all A (-v1_xboole_0(A) -> (all B (m1_eqrel_1(B,A) -> -v1_xboole_0(B))))) # label(cc1_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3868 (all A all B all C (m1_relset_1(C,A,A) & m1_relset_1(B,A,A) -> k3_eqrel_1(A,B,C) = k2_xboole_0(B,C))) # label(redefinition_k3_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3869 $T # label(d2_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3870 $T # label(t8_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3871 (all A all B all C (v3_relat_2(B) & v1_partfun1(B,A,A) & m1_relset_1(B,A,A) & v3_relat_2(C) & v8_relat_2(C) & v1_partfun1(C,A,A) & m1_relset_1(C,A,A) & v8_relat_2(B) -> v3_relat_2(k4_eqrel_1(A,B,C)) & v8_relat_2(k4_eqrel_1(A,B,C)) & v1_partfun1(k4_eqrel_1(A,B,C),A,A) & m2_relset_1(k4_eqrel_1(A,B,C),A,A))) # label(dt_k4_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3872 (all A all B all C (m1_relset_1(B,A,A) & v3_relat_2(C) & v8_relat_2(C) & m1_relset_1(C,A,A) & v1_partfun1(C,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) & v3_relat_2(B) -> B = k5_eqrel_1(A,B,B))) # label(idempotence_k5_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3873 (all A (v8_relat_2(k1_eqrel_1(A)) & m2_relset_1(k1_eqrel_1(A),A,A) & v1_partfun1(k1_eqrel_1(A),A,A) & v3_relat_2(k1_eqrel_1(A)))) # label(t7_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3874 (all A all B (v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) -> m1_eqrel_1(k7_eqrel_1(A,B),A))) # label(t42_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3875 (all A all B (m2_relset_1(B,A,A) -> (m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) & v3_relat_2(B) <-> v1_relat_2(B) & A = k3_relat_1(B) & v8_relat_2(B) & v3_relat_2(B)))) # label(t16_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3876 $T # label(t39_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3877 (all A all B all C all D (v3_relat_2(D) & m2_relset_1(D,A,A) & v1_partfun1(D,A,A) & v1_relat_2(D) -> (r2_hidden(k4_tarski(B,C),D) <-> r2_hidden(B,k6_eqrel_1(A,D,C))))) # label(t27_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3878 $T # label(t2_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3879 $T # label(t26_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3880 (all A all B (v3_relat_2(B) & v8_relat_2(B) & m1_relset_1(B,A,A) & v1_partfun1(B,A,A) -> k8_eqrel_1(A,B) = k7_eqrel_1(A,B))) # label(redefinition_k8_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3881 (all A all B (v3_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) -> (all C (v8_relat_2(C) & v1_partfun1(C,A,A) & m2_relset_1(C,A,A) & v3_relat_2(C) -> k4_eqrel_1(A,B,k5_eqrel_1(A,B,C)) = B)))) # label(t24_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3882 (all A all B (v3_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v8_relat_2(B) -> (all C (v8_relat_2(C) & v1_partfun1(C,A,A) & m2_relset_1(C,A,A) & v3_relat_2(C) -> -(C != k1_eqrel_1(A) & k1_eqrel_1(A) != B & k1_eqrel_1(A) = k3_eqrel_1(A,B,C)))))) # label(t38_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3883 (all A all B (v1_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v3_relat_2(B) -> (all C (r2_hidden(C,A) -> r2_hidden(C,k6_eqrel_1(A,B,C)))))) # label(t28_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3884 (all A exists B m1_eqrel_1(B,A)) # label(existence_m1_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3885 $T # label(t41_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3886 (all A all B all C (m1_relset_1(C,A,A) & m1_relset_1(B,A,A) -> k3_eqrel_1(A,C,B) = k3_eqrel_1(A,B,C))) # label(commutativity_k3_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3887 (all A all B all C (v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,A,A) & m1_relset_1(B,A,A) -> m1_subset_1(k6_eqrel_1(A,B,C),k1_zfmisc_1(A)))) # label(dt_k6_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3888 (all A (r1_relat_2(k6_partfun1(A),A) & r8_relat_2(k6_partfun1(A),A) & r3_relat_2(k6_partfun1(A),A))) # label(t4_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3889 (all A all B all C (m1_relset_1(C,A,A) & m1_relset_1(B,A,A) -> k3_xboole_0(B,C) = k2_eqrel_1(A,B,C))) # label(redefinition_k2_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3890 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,A)))) -> ((all C (r2_hidden(C,B) -> v3_relat_2(C) & v8_relat_2(C) & m2_relset_1(C,A,A) & v1_partfun1(C,A,A))) -> v8_relat_2(k6_setfam_1(k2_zfmisc_1(A,A),B)) & v1_partfun1(k6_setfam_1(k2_zfmisc_1(A,A),B),A,A) & m2_relset_1(k6_setfam_1(k2_zfmisc_1(A,A),B),A,A) & v3_relat_2(k6_setfam_1(k2_zfmisc_1(A,A),B)) | B = k1_xboole_0))) # label(t19_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3891 $T # label(t3_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3892 (all A all B all C (v3_relat_2(C) & m2_relset_1(C,A,A) & v1_partfun1(C,A,A) & v8_relat_2(C) -> (all D (r2_hidden(D,A) -> (r2_hidden(k4_tarski(D,B),C) <-> k6_eqrel_1(A,C,B) = k6_eqrel_1(A,C,D)))))) # label(t44_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3893 (all A all B (v3_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) -> B = k5_eqrel_1(A,B,B))) # label(t22_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3894 (all A all B (m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) & v1_relat_2(B) -> (all C -(r2_hidden(C,A) & (all D -r2_hidden(C,k6_eqrel_1(A,B,D))))))) # label(t29_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3895 (all A all B (v3_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) -> (all C (v3_relat_2(C) & v1_partfun1(C,A,A) & m2_relset_1(C,A,A) & v8_relat_2(C) -> (all D (v3_relat_2(D) & m2_relset_1(D,A,A) & v1_partfun1(D,A,A) & v8_relat_2(D) -> (k5_eqrel_1(A,B,C) = D <-> r1_tarski(k3_eqrel_1(A,B,C),D) & (all E (v8_relat_2(E) & m2_relset_1(E,A,A) & v1_partfun1(E,A,A) & v3_relat_2(E) -> (r1_tarski(k3_eqrel_1(A,B,C),E) -> r1_tarski(D,E))))))))))) # label(d3_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3896 (all A all B (-v1_xboole_0(A) & v3_relat_2(B) & v8_relat_2(B) & m1_relset_1(B,A,A) & v1_partfun1(B,A,A) -> -v1_xboole_0(k7_eqrel_1(A,B)))) # label(fc3_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3897 $T # label(t1_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3898 (all A all B all C (v3_relat_2(B) & v8_relat_2(B) & m1_relset_1(C,A,A) & v1_partfun1(C,A,A) & v8_relat_2(C) & v3_relat_2(C) & m1_relset_1(B,A,A) & v1_partfun1(B,A,A) -> v3_relat_2(k5_eqrel_1(A,B,C)) & v1_partfun1(k5_eqrel_1(A,B,C),A,A) & m2_relset_1(k5_eqrel_1(A,B,C),A,A) & v8_relat_2(k5_eqrel_1(A,B,C)))) # label(dt_k5_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3899 (all A all B all C (v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A,A) & m1_relset_1(B,A,A) & m1_relset_1(C,A,A) & v1_partfun1(C,A,A) & v8_relat_2(C) & v3_relat_2(C) -> k4_eqrel_1(A,C,B) = k4_eqrel_1(A,B,C))) # label(commutativity_k4_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3900 (all A all B (r2_hidden(B,A) -> k1_tarski(B) = k6_eqrel_1(A,k6_partfun1(A),B))) # label(t33_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3901 (all A all B all C (v3_relat_2(C) & v1_partfun1(C,B,B) & m2_relset_1(C,B,B) & v8_relat_2(C) -> -(r2_hidden(A,k7_eqrel_1(B,C)) & (all D (m1_subset_1(D,B) -> k6_eqrel_1(B,C,D) != A))))) # label(t45_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3902 (all A all B (v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) -> (all C all D -(r2_hidden(C,A) & -r1_xboole_0(k6_eqrel_1(A,B,C),k6_eqrel_1(A,B,D)) & k6_eqrel_1(A,B,D) != k6_eqrel_1(A,B,C) & r2_hidden(D,A))))) # label(t32_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3903 (all A all B (v3_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) -> (k7_eqrel_1(A,B) = C <-> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (r2_hidden(D,C) <-> (exists E (r2_hidden(E,A) & k6_eqrel_1(A,B,E) = D)))))))))) # label(d5_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3904 (all A all B (v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v8_relat_2(B) & v3_relat_2(B) -> (all C (v3_relat_2(C) & m2_relset_1(C,A,A) & v1_partfun1(C,A,A) & v8_relat_2(C) -> k5_eqrel_1(A,B,k4_eqrel_1(A,B,C)) = B)))) # label(t25_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3905 (all A all B all C (v1_relat_2(C) & v1_partfun1(C,A,A) & m2_relset_1(C,A,A) -> (r2_hidden(B,A) -> r2_hidden(k4_tarski(B,B),C)))) # label(t11_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3906 (all A all B (m1_eqrel_1(B,A) -> v1_setfam_1(B))) # label(cc2_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3907 (all A (r2_hidden(A,f1_s1_eqrel_1) -> p1_s1_eqrel_1(A,A))) & (all A all B all C (p1_s1_eqrel_1(B,C) & p1_s1_eqrel_1(A,B) -> p1_s1_eqrel_1(A,C))) & (all A all B (p1_s1_eqrel_1(A,B) -> p1_s1_eqrel_1(B,A))) -> (exists A ((all B all C (r2_hidden(B,f1_s1_eqrel_1) & p1_s1_eqrel_1(B,C) & r2_hidden(C,f1_s1_eqrel_1) <-> r2_hidden(k4_tarski(B,C),A))) & m2_relset_1(A,f1_s1_eqrel_1,f1_s1_eqrel_1) & v1_partfun1(A,f1_s1_eqrel_1,f1_s1_eqrel_1) & v8_relat_2(A) & v3_relat_2(A))) # label(s1_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3908 (all A all B (v1_relat_2(B) & v3_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) -> (all C k10_relset_1(A,A,B,k1_tarski(C)) = k6_eqrel_1(A,B,C)))) # label(d4_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3909 (all A all B (v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) -> (A = k1_xboole_0 -> k7_eqrel_1(A,B) = k1_xboole_0))) # label(t40_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3910 (all A all B (r2_hidden(B,A) -> k6_eqrel_1(A,k1_eqrel_1(A),B) = A)) # label(t34_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3911 (all A all B (m2_relset_1(B,A,A) -> (exists C ((all D (v3_relat_2(D) & m2_relset_1(D,A,A) & v1_partfun1(D,A,A) & v8_relat_2(D) -> (r1_tarski(B,D) -> r1_tarski(C,D)))) & r1_tarski(B,C) & m2_relset_1(C,A,A) & v1_partfun1(C,A,A) & v8_relat_2(C) & v3_relat_2(C))))) # label(t20_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3912 (all A all B all C (m1_relset_1(B,A,A) & m1_relset_1(C,A,A) -> k3_eqrel_1(A,B,B) = B)) # label(idempotence_k3_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3913 (all A all B (m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) & v3_relat_2(B) -> (all C (v3_relat_2(C) & v1_partfun1(C,A,A) & m2_relset_1(C,A,A) & v8_relat_2(C) -> k5_eqrel_1(A,C,B) = k5_eqrel_1(A,B,C))))) # label(t23_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3914 (all A all B (v3_relat_2(B) & m1_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) -> m1_eqrel_1(k8_eqrel_1(A,B),A))) # label(dt_k8_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3915 $T # label(t5_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3916 (all A all B all C all D (v3_relat_2(D) & m2_relset_1(D,B,B) & v1_partfun1(D,B,B) & v8_relat_2(D) -> (all E (v8_relat_2(E) & m2_relset_1(E,B,B) & v1_partfun1(E,B,B) & v3_relat_2(E) -> (r2_hidden(A,B) -> ((exists F (v1_relat_1(F) & v1_funct_1(F) & r1_xreal_0(np__1,k3_finseq_1(F)) & k1_funct_1(F,np__1) = A & k1_funct_1(F,k3_finseq_1(F)) = C & (all G (m2_subset_1(G,k1_numbers,k5_numbers) -> (r1_xreal_0(np__1,G) -> r2_hidden(k4_tarski(k1_funct_1(F,G),k1_funct_1(F,k1_nat_1(G,np__1))),k3_eqrel_1(B,D,E)) | r1_xreal_0(k3_finseq_1(F),G)))) & v1_finseq_1(F))) <-> r2_hidden(k4_tarski(A,C),k5_eqrel_1(B,D,E)))))))) # label(t36_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3917 (all A all B all C (m1_relset_1(B,A,A) & m1_relset_1(C,A,A) -> m2_relset_1(k2_eqrel_1(A,B,C),A,A))) # label(dt_k2_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3918 (all A all B all C all D all E (v8_relat_2(E) & m2_relset_1(E,A,A) & v1_partfun1(E,A,A) -> (r2_hidden(k4_tarski(B,C),E) & r2_hidden(k4_tarski(C,D),E) -> r2_hidden(k4_tarski(B,D),E)))) # label(t13_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3919 (all A (v1_relat_1(A) & v1_funct_1(A) -> ((all B all C -r2_hidden(k4_tarski(B,C),k1_relat_1(A))) -> k3_funct_5(A) = k1_xboole_0 & k1_xboole_0 = k5_funct_5(A)))) # label(t34_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3920 (all A all B all C (r1_xboole_0(A,B) -> r2_wellord2(k1_funct_2(k2_xboole_0(A,B),C),k2_zfmisc_1(k1_funct_2(A,C),k1_funct_2(B,C))) & k1_card_1(k2_zfmisc_1(k1_funct_2(A,C),k1_funct_2(B,C))) = k1_card_1(k1_funct_2(k2_xboole_0(A,B),C)))) # label(t69_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3921 $T # label(dt_k2_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3922 (all A all B all C (r2_hidden(k4_tarski(A,B),C) -> r2_hidden(B,k2_funct_5(C)) & r2_hidden(A,k1_funct_5(C)))) # label(t4_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3923 (all A all B (r1_tarski(k2_funct_5(k3_xboole_0(A,B)),k3_xboole_0(k2_funct_5(A),k2_funct_5(B))) & r1_tarski(k1_funct_5(k3_xboole_0(A,B)),k3_xboole_0(k1_funct_5(A),k1_funct_5(B))))) # label(t7_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3924 (all A all B all C all D (v1_funct_1(D) & v1_relat_1(D) -> -(k2_zfmisc_1(A,B) != k1_xboole_0 & (all E (v1_funct_1(E) & v1_relat_1(E) -> -(E = k1_funct_1(k3_funct_5(D),C) & k1_relat_1(E) = B & r1_tarski(k2_relat_1(E),k2_relat_1(D)) & (all F (r2_hidden(F,B) -> k1_funct_1(E,F) = k1_funct_1(D,k4_tarski(C,F))))))) & r2_hidden(C,A) & k2_zfmisc_1(A,B) = k1_relat_1(D)))) # label(t36_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3925 (all A (v1_funct_1(A) & v1_relat_1(A) -> k2_funct_5(k1_relat_1(A)) = k1_relat_1(k5_funct_5(A)))) # label(t30_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3926 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (C = k1_funct_1(k3_funct_5(B),A) & r2_hidden(A,k1_relat_1(k3_funct_5(B))) -> k2_funct_5(k3_xboole_0(k1_relat_1(B),k2_zfmisc_1(k1_tarski(A),k2_funct_5(k1_relat_1(B))))) = k1_relat_1(C) & r1_tarski(k1_relat_1(C),k2_funct_5(k1_relat_1(B))) & r1_tarski(k2_relat_1(C),k2_relat_1(B)) & (all D (r2_hidden(D,k1_relat_1(C)) -> r2_hidden(k4_tarski(A,D),k1_relat_1(B)) & k1_funct_1(B,k4_tarski(A,D)) = k1_funct_1(C,D)))))))) # label(t38_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3927 (all A all B (r1_tarski(k2_funct_5(k2_zfmisc_1(A,B)),B) & r1_tarski(k1_funct_5(k2_zfmisc_1(A,B)),A))) # label(t12_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3928 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (k2_zfmisc_1(A,B) = k1_relat_1(C) & k3_funct_5(D) = k3_funct_5(C) & k1_relat_1(D) = k2_zfmisc_1(A,B) -> D = C))))) # label(t51_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3929 (all A all B all C (r2_wellord2(k1_funct_2(k2_zfmisc_1(A,B),C),k1_funct_2(A,k1_funct_2(B,C))) & k1_card_1(k1_funct_2(A,k1_funct_2(B,C))) = k1_card_1(k1_funct_2(k2_zfmisc_1(A,B),C)))) # label(t70_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3930 (all A (v1_relat_1(A) & v1_funct_1(A) -> v1_relat_1(k4_funct_5(A)) & v1_funct_1(k4_funct_5(A)))) # label(dt_k4_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3931 (all A all B all C (B != A -> r2_wellord2(k1_funct_2(k2_tarski(A,B),C),k2_zfmisc_1(C,C)) & k1_card_1(k2_zfmisc_1(C,C)) = k1_card_1(k1_funct_2(k2_tarski(A,B),C)))) # label(t73_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3932 $T # label(dt_k1_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3933 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (k3_funct_5(D) = k3_funct_5(C) & r1_tarski(k1_relat_1(D),k2_zfmisc_1(A,B)) & r1_tarski(k1_relat_1(C),k2_zfmisc_1(A,B)) -> C = D))))) # label(t59_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.44	3934 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (k4_funct_5(A) = B <-> (all C ((exists D exists E (v1_relat_1(E) & v1_funct_1(E) & (exists F (C = k4_tarski(D,F) & r2_hidden(F,k1_relat_1(E)) & k1_funct_1(A,D) = E & r2_hidden(D,k1_relat_1(A)))))) <-> r2_hidden(C,k1_relat_1(B)))) & (all C all D (v1_relat_1(D) & v1_funct_1(D) -> (r2_hidden(C,k1_relat_1(B)) & D = k1_funct_1(A,k1_mcart_1(C)) -> k1_funct_1(B,C) = k1_funct_1(D,k2_mcart_1(C)))))))))) # label(d4_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3935 $T # label(t14_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3936 (all A (v1_funct_1(A) & v1_relat_1(A) -> ((all B -(v1_relat_1(k1_funct_1(A,B)) & v1_funct_1(k1_funct_1(A,B)) & r2_hidden(B,k1_relat_1(A)))) -> k1_xboole_0 = k4_funct_5(A) & k1_xboole_0 = k6_funct_5(A)))) # label(t35_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3937 (all A (v1_relat_1(A) & v1_funct_1(A) -> v1_relat_1(k3_funct_5(A)) & v1_funct_1(k3_funct_5(A)))) # label(dt_k3_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3938 (all A all B k1_tarski(k2_funcop_1(A,B)) = k1_funct_2(A,k1_tarski(B))) # label(t66_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3939 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_funct_1(k6_funct_5(A)) & v1_relat_1(k6_funct_5(A)))) # label(dt_k6_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3940 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(k2_relat_1(C),k1_funct_2(A,B)) -> k1_relat_1(k4_funct_5(C)) = k2_zfmisc_1(k1_relat_1(C),A) & k1_relat_1(k6_funct_5(C)) = k2_zfmisc_1(A,k1_relat_1(C))))) # label(t33_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3941 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_relat_1(k5_funct_5(A)) & v1_funct_1(k5_funct_5(A)))) # label(dt_k5_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3942 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (D = k1_funct_1(k3_funct_5(C),A) & r2_hidden(k4_tarski(A,B),k1_relat_1(C)) -> k1_funct_1(D,B) = k1_funct_1(C,k4_tarski(A,B)) & r2_hidden(B,k1_relat_1(D))))))) # label(t27_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3943 (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(k2_relat_1(C),k1_funct_2(A,B)) & k4_funct_5(D) = k4_funct_5(C) & r1_tarski(k2_relat_1(D),k1_funct_2(A,B)) -> A = k1_xboole_0 | C = D))))) # label(t53_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3944 (all A all B all C (k1_card_1(k1_funct_2(A,k2_zfmisc_1(B,C))) = k1_card_1(k2_zfmisc_1(k1_funct_2(A,B),k1_funct_2(A,C))) & r2_wellord2(k1_funct_2(A,k2_zfmisc_1(B,C)),k2_zfmisc_1(k1_funct_2(A,B),k1_funct_2(A,C))))) # label(t71_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3945 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (k1_relat_1(C) = k2_zfmisc_1(A,B) -> k1_relat_1(k5_funct_5(C)) = B & k1_relat_1(k3_funct_5(C)) = A | k1_xboole_0 = k2_zfmisc_1(A,B)))) # label(t31_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3946 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(k2_relat_1(C),k4_partfun1(A,B)) -> r1_tarski(k1_relat_1(k6_funct_5(C)),k2_zfmisc_1(A,k1_relat_1(C))) & r1_tarski(k1_relat_1(k4_funct_5(C)),k2_zfmisc_1(k1_relat_1(C),A))))) # label(t44_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3947 (all A (v1_relat_1(A) -> k1_relat_1(A) = k1_funct_5(A) & k2_funct_5(A) = k2_relat_1(A))) # label(t21_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3948 (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_funct_5(k1_relat_1(A))) & (all D (v1_funct_1(D) & v1_relat_1(D) -> -(D = k1_funct_1(B,C) & k2_funct_5(k3_xboole_0(k1_relat_1(A),k2_zfmisc_1(k1_tarski(C),k2_funct_5(k1_relat_1(A))))) = k1_relat_1(D) & (all E (r2_hidden(E,k1_relat_1(D)) -> k1_funct_1(A,k4_tarski(C,E)) = k1_funct_1(D,E)))))))) & k1_relat_1(B) = k1_funct_5(k1_relat_1(A)) <-> k3_funct_5(A) = B))))) # label(d3_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3949 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (k1_funct_1(k5_funct_5(B),A) = C & r2_hidden(A,k1_relat_1(k5_funct_5(B))) -> r1_tarski(k1_relat_1(C),k1_funct_5(k1_relat_1(B))) & (all D (r2_hidden(D,k1_relat_1(C)) -> k1_funct_1(C,D) = k1_funct_1(B,k4_tarski(D,A)) & r2_hidden(k4_tarski(D,A),k1_relat_1(B)))) & r1_tarski(k2_relat_1(C),k2_relat_1(B)) & k1_relat_1(C) = k1_funct_5(k3_xboole_0(k1_relat_1(B),k2_zfmisc_1(k1_funct_5(k1_relat_1(B)),k1_tarski(A))))))))) # label(t41_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3950 (all A all B all C all D (k1_card_1(C) = k1_card_1(D) & k1_card_1(B) = k1_card_1(A) -> k1_card_1(k1_funct_2(B,D)) = k1_card_1(k1_funct_2(A,C)))) # label(t68_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3951 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (r2_hidden(A,k1_relat_1(C)) & D = k1_funct_1(C,A) & r2_hidden(B,k1_relat_1(D)) -> r2_hidden(k4_tarski(A,B),k1_relat_1(k4_funct_5(C))) & r2_hidden(k1_funct_1(D,B),k2_relat_1(k4_funct_5(C))) & k1_funct_1(k4_funct_5(C),k4_tarski(A,B)) = k1_funct_1(D,B)))))) # label(t45_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3952 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (k5_funct_5(C) = k5_funct_5(D) & r1_tarski(k1_relat_1(D),k2_zfmisc_1(A,B)) & r1_tarski(k1_relat_1(C),k2_zfmisc_1(A,B)) -> C = D))))) # label(t60_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3953 (all A ((all B all C -r2_hidden(k4_tarski(B,C),A)) -> k2_funct_5(A) = k1_xboole_0 & k1_xboole_0 = k1_funct_5(A))) # label(t17_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3954 (all A all B (k2_funct_5(k2_xboole_0(A,B)) = k2_xboole_0(k2_funct_5(A),k2_funct_5(B)) & k2_xboole_0(k1_funct_5(A),k1_funct_5(B)) = k1_funct_5(k2_xboole_0(A,B)))) # label(t6_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3955 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (r1_tarski(k2_relat_1(C),k4_partfun1(A,B)) & k6_funct_5(C) = k6_funct_5(D) & r1_tarski(k2_relat_1(D),k4_partfun1(A,B)) -> C = D | r2_hidden(k1_xboole_0,k2_relat_1(D)) | r2_hidden(k1_xboole_0,k2_relat_1(C))))))) # label(t62_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3956 (all A k1_tarski(k1_xboole_0) = k1_funct_2(k1_xboole_0,A)) # label(t64_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3957 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(k2_relat_1(C),k1_funct_2(A,B)) -> A = k1_xboole_0 | k5_funct_5(k6_funct_5(C)) = C & k3_funct_5(k4_funct_5(C)) = C))) # label(t55_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3958 (all A all B (r1_tarski(k5_xboole_0(k1_funct_5(A),k1_funct_5(B)),k1_funct_5(k5_xboole_0(A,B))) & r1_tarski(k5_xboole_0(k2_funct_5(A),k2_funct_5(B)),k2_funct_5(k5_xboole_0(A,B))))) # label(t9_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3959 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (k1_funct_1(k5_funct_5(C),B) = D & r2_hidden(k4_tarski(A,B),k1_relat_1(C)) -> r2_hidden(A,k1_relat_1(D)) & k1_funct_1(D,A) = k1_funct_1(C,k4_tarski(A,B))))))) # label(t29_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3960 (exists A (v1_relat_1(A) & k1_relat_1(A) = f1_s1_funct_5 & (all B (v1_funct_1(B) & v1_relat_1(B) -> (r2_hidden(B,f1_s1_funct_5) -> k1_funct_1(A,B) = f2_s1_funct_5(B)))) & v1_funct_1(A))) # label(s1_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3961 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (r2_hidden(A,k1_relat_1(k3_funct_5(B))) -> v1_relat_1(k1_funct_1(k3_funct_5(B),A)) & v1_funct_1(k1_funct_1(k3_funct_5(B),A))))) # label(t37_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3962 (all A all B all C all D (v1_funct_1(D) & v1_relat_1(D) -> -(k2_zfmisc_1(A,B) != k1_xboole_0 & k1_relat_1(D) = k2_zfmisc_1(A,B) & r2_hidden(C,B) & (all E (v1_funct_1(E) & v1_relat_1(E) -> -(A = k1_relat_1(E) & (all F (r2_hidden(F,A) -> k1_funct_1(E,F) = k1_funct_1(D,k4_tarski(F,C)))) & r1_tarski(k2_relat_1(E),k2_relat_1(D)) & k1_funct_1(k5_funct_5(D),C) = E)))))) # label(t39_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3963 (all A (k1_xboole_0 = k2_funct_5(A) | k1_xboole_0 = k1_funct_5(A) -> (all B all C -r2_hidden(k4_tarski(B,C),A)))) # label(t18_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3964 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (r2_hidden(A,k1_relat_1(C)) & r2_hidden(B,k1_relat_1(D)) & D = k1_funct_1(C,A) -> r2_hidden(k4_tarski(B,A),k1_relat_1(k6_funct_5(C))) & r2_hidden(k1_funct_1(D,B),k2_relat_1(k6_funct_5(C))) & k1_funct_1(D,B) = k1_funct_1(k6_funct_5(C),k4_tarski(B,A))))))) # label(t46_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3965 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(k4_tarski(A,B),k1_relat_1(C)) -> r2_hidden(A,k1_relat_1(k3_funct_5(C))) & v1_relat_1(k1_funct_1(k3_funct_5(C),A)) & v1_funct_1(k1_funct_1(k3_funct_5(C),A))))) # label(t26_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3966 (all A all B (-(k1_xboole_0 = A & k2_zfmisc_1(B,A) = k1_xboole_0 & k2_zfmisc_1(A,B) = k1_xboole_0) -> B = k1_funct_5(k2_zfmisc_1(B,A)) & B = k2_funct_5(k2_zfmisc_1(A,B)))) # label(t11_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3967 (all A (k1_xboole_0 = k1_funct_5(A) <-> k1_xboole_0 = k2_funct_5(A))) # label(t19_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3968 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (k5_funct_5(C) = k5_funct_5(D) & k1_relat_1(D) = k2_zfmisc_1(A,B) & k2_zfmisc_1(A,B) = k1_relat_1(C) -> D = C))))) # label(t52_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3969 (all A all B (k1_card_1(k1_funct_2(k1_tarski(B),A)) = k1_card_1(A) & r2_wellord2(A,k1_funct_2(k1_tarski(B),A)))) # label(t65_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3970 (all A all B all C (A != B -> r2_wellord2(k1_funct_2(C,k2_tarski(A,B)),k1_zfmisc_1(C)) & k1_card_1(k1_funct_2(C,k2_tarski(A,B))) = k1_card_1(k1_zfmisc_1(C)))) # label(t72_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3971 (all A all B (k1_funct_5(k1_tarski(k4_tarski(A,B))) = k1_tarski(A) & k1_tarski(B) = k2_funct_5(k1_tarski(k4_tarski(A,B))))) # label(t15_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3972 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (r1_tarski(k2_relat_1(C),k1_funct_2(A,B)) & r1_tarski(k2_relat_1(D),k1_funct_2(A,B)) & k6_funct_5(C) = k6_funct_5(D) -> D = C | k1_xboole_0 = A))))) # label(t54_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3973 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (k1_relat_1(C) = k2_zfmisc_1(A,B) -> k6_funct_5(k5_funct_5(C)) = C & k4_funct_5(k3_funct_5(C)) = C))) # label(t56_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3974 (all A all B (r1_tarski(k4_xboole_0(k2_funct_5(A),k2_funct_5(B)),k2_funct_5(k4_xboole_0(A,B))) & r1_tarski(k4_xboole_0(k1_funct_5(A),k1_funct_5(B)),k1_funct_5(k4_xboole_0(A,B))))) # label(t8_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3975 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(k1_relat_1(C),k2_zfmisc_1(A,B)) -> r1_tarski(k1_relat_1(k3_funct_5(C)),A) & r1_tarski(k1_relat_1(k5_funct_5(C)),B)))) # label(t32_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3976 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(k2_relat_1(C),k4_partfun1(A,B)) -> r1_tarski(k2_relat_1(k4_funct_5(C)),B) & r1_tarski(k2_relat_1(k6_funct_5(C)),B)))) # label(t47_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3977 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(k1_relat_1(C),k2_zfmisc_1(A,B)) -> k4_funct_5(k3_funct_5(C)) = C & k6_funct_5(k5_funct_5(C)) = C))) # label(t57_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3978 (all A all B all C (r1_tarski(A,B) -> r1_tarski(k1_funct_2(C,A),k1_funct_2(C,B)))) # label(t63_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3979 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(k2_relat_1(C),k4_partfun1(A,B)) -> r2_hidden(k1_xboole_0,k2_relat_1(C)) | C = k5_funct_5(k6_funct_5(C)) & C = k3_funct_5(k4_funct_5(C))))) # label(t58_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3980 (all A (v1_relat_1(A) & v1_funct_1(A) -> k2_funct_4(k4_funct_5(A)) = k6_funct_5(A))) # label(d6_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3981 (all A all B all C (r1_tarski(A,k2_zfmisc_1(B,C)) -> r1_tarski(k1_funct_5(A),B) & r1_tarski(k2_funct_5(A),C))) # label(t13_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3982 (all A all B ((all C ((exists D r2_hidden(k4_tarski(C,D),A)) <-> r2_hidden(C,B))) <-> k1_funct_5(A) = B)) # label(d1_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3983 (all A all B all C all D (r2_wellord2(A,B) & r2_wellord2(C,D) -> k1_card_1(k1_funct_2(B,D)) = k1_card_1(k1_funct_2(A,C)) & r2_wellord2(k1_funct_2(A,C),k1_funct_2(B,D)))) # label(t67_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3984 (all A all B (k2_funct_5(A) = B <-> (all C ((exists D r2_hidden(k4_tarski(D,C),A)) <-> r2_hidden(C,B))))) # label(d2_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3985 $T # label(t25_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3986 (all A (v1_funct_1(A) & v1_relat_1(A) -> k5_funct_5(A) = k3_funct_5(k2_funct_4(A)))) # label(d5_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3987 $T # label(t2_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3988 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (k1_relat_1(C) = k2_zfmisc_1(A,B) -> r1_tarski(k2_relat_1(k3_funct_5(C)),k1_funct_2(B,k2_relat_1(C))) & r1_tarski(k2_relat_1(k5_funct_5(C)),k1_funct_2(A,k2_relat_1(C)))))) # label(t42_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3989 (all A all B (r1_tarski(A,B) -> r1_tarski(k1_funct_5(A),k1_funct_5(B)) & r1_tarski(k2_funct_5(A),k2_funct_5(B)))) # label(t5_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3990 (all A (v1_funct_1(A) & v1_relat_1(A) -> r1_tarski(k2_relat_1(k5_funct_5(A)),k4_partfun1(k1_funct_5(k1_relat_1(A)),k2_relat_1(A))) & r1_tarski(k2_relat_1(k3_funct_5(A)),k4_partfun1(k2_funct_5(k1_relat_1(A)),k2_relat_1(A))))) # label(t43_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3991 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (r2_hidden(A,k1_relat_1(k5_funct_5(B))) -> v1_relat_1(k1_funct_1(k5_funct_5(B),A)) & v1_funct_1(k1_funct_1(k5_funct_5(B),A))))) # label(t40_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3992 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(k2_relat_1(C),k1_funct_2(A,B)) -> r1_tarski(k2_relat_1(k6_funct_5(C)),B) & r1_tarski(k2_relat_1(k4_funct_5(C)),B)))) # label(t48_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3993 (all A all B all C all D (k2_tarski(B,D) = k2_funct_5(k2_tarski(k4_tarski(A,B),k4_tarski(C,D))) & k1_funct_5(k2_tarski(k4_tarski(A,B),k4_tarski(C,D))) = k2_tarski(A,C))) # label(t16_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3994 $T # label(t24_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3995 $T # label(t3_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3996 $T # label(t23_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3997 (all A (v1_funct_1(A) & v1_relat_1(A) -> k2_funct_5(k1_relat_1(A)) = k1_funct_5(k1_relat_1(k2_funct_4(A))) & k1_funct_5(k1_relat_1(A)) = k2_funct_5(k1_relat_1(k2_funct_4(A))))) # label(t20_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3998 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r2_hidden(k4_tarski(A,B),k1_relat_1(C)) -> r2_hidden(B,k1_relat_1(k5_funct_5(C))) & v1_funct_1(k1_funct_1(k5_funct_5(C),B)) & v1_relat_1(k1_funct_1(k5_funct_5(C),B))))) # label(t28_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	3999 $T # label(t22_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4000 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (r1_tarski(k2_relat_1(D),k4_partfun1(A,B)) & k4_funct_5(D) = k4_funct_5(C) & r1_tarski(k2_relat_1(C),k4_partfun1(A,B)) -> r2_hidden(k1_xboole_0,k2_relat_1(C)) | C = D | r2_hidden(k1_xboole_0,k2_relat_1(D))))))) # label(t61_funct_5) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4001 (all A all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> k3_finseq_1(k7_finseq_1(B,k9_finseq_1(A))) = k1_nat_1(k3_finseq_1(B),np__1))) # label(t19_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4002 (all A k1_xboole_0 = k2_finseq_2(np__0,A)) # label(t72_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4003 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> m2_finseq_2(k10_finseq_1(B,C),A,k4_finseq_2(np__2,A)))))))) # label(t121_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4004 (all A (v4_ordinal2(A) -> v1_relat_1(k1_finseq_2(A)) & v1_finseq_1(k1_finseq_2(A)) & v1_funct_1(k1_finseq_2(A)))) # label(dt_k1_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4005 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (m2_finseq_2(C,B,k4_finseq_2(A,B)) -> k3_finseq_1(C) = A)))))) # label(t109_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4006 (all A all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (k4_funcop_1(D,B,A) = C & r1_tarski(k2_zfmisc_1(k2_relat_1(B),k1_tarski(A)),k1_relat_1(D)) -> k3_finseq_1(C) = k3_finseq_1(B)))))))) # label(t83_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4007 (all A all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(k2_zfmisc_1(k1_tarski(A),k2_relat_1(B)),k1_relat_1(C)) -> v1_funct_1(k5_funcop_1(C,A,B)) & v1_finseq_1(k5_funcop_1(C,A,B)) & v1_relat_1(k5_funcop_1(C,A,B))))))) # label(t80_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4008 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r2_hidden(A,k2_finseq_1(B)) -> A = k1_funct_1(k1_finseq_2(B),A)))))) # label(t56_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4009 (all A all B (m2_finseq_1(B,A) -> m1_subset_1(B,k4_finseq_2(k3_finseq_1(B),A)))) # label(t110_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4010 (all A (v4_ordinal2(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,B) -> m2_finseq_1(k2_finseq_2(A,C),B))))))) # label(t77_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4011 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(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 (m2_finseq_1(E,A) -> (all F (m2_finseq_1(F,B) -> k3_funcop_1(D,E,k6_finseq_1(B)) = k6_finseq_1(C) & k6_finseq_1(C) = k3_funcop_1(D,k6_finseq_1(A),F))))))))))))) # label(t87_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4012 (all A all B (-v1_xboole_0(B) -> (r2_hidden(A,a_1_1_finseq_2(B)) <-> (exists C exists D (m1_subset_1(C,B) & m1_subset_1(D,B) & A = k10_finseq_1(C,D)))))) # label(fraenkel_a_1_1_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4013 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r1_xreal_0(A,B) -> k2_square_1(np__0,k6_xcmplx_0(A,B)) = np__0))))) # label(t3_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4014 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_finseq_1(C) & v1_funct_1(C) -> (k3_finseq_1(B) = k3_finseq_1(A) & r1_tarski(B,C) & r1_tarski(A,C) -> B = A))))))) # label(t149_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4015 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (v1_relat_1(D) & v1_finseq_1(D) & v1_funct_1(D) -> (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 (m2_finseq_1(F,A) -> (all G (m2_finseq_1(G,B) -> (k3_funcop_1(E,F,G) = D -> k3_finseq_1(D) = k3_square_1(k3_finseq_1(F),k3_finseq_1(G))))))))))))))))) # label(t85_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4016 (all A (v4_ordinal2(A) -> (all B k2_funcop_1(k2_finseq_1(A),B) = k2_finseq_2(A,B)))) # label(d2_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4017 (all A (v4_ordinal2(A) -> k4_finseq_1(k1_finseq_2(A)) = k2_finseq_1(A))) # label(t54_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4018 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,A) -> (all E (m2_relset_1(E,k2_zfmisc_1(A,B),C) & v1_funct_2(E,k2_zfmisc_1(A,B),C) & v1_funct_1(E) -> (all F (m2_finseq_1(F,B) -> m2_finseq_1(k5_funcop_1(E,D,F),C))))))))))))) # label(t91_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4019 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (m2_finseq_2(C,B,k4_finseq_2(A,B)) -> (all D (m1_subset_1(D,B) -> D = k1_funct_1(k8_finseq_1(B,C,k12_finseq_1(B,D)),k1_nat_1(A,np__1)))))))))) # label(t136_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4020 (all A all B (-v1_xboole_0(B) -> (r2_hidden(A,a_1_2_finseq_2(B)) <-> (exists C exists D exists E (m1_subset_1(D,B) & A = k11_finseq_1(C,D,E) & m1_subset_1(E,B) & m1_subset_1(C,B)))))) # label(fraenkel_a_1_2_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4021 (all A all B k2_tarski(A,B) = k2_relat_1(k10_finseq_1(A,B))) # label(t147_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4022 (all A (v4_ordinal2(A) -> (all B k2_finseq_1(A) = k4_finseq_1(k2_finseq_2(A,B))))) # label(t68_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4023 (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) -> k1_partfun1(k5_numbers,A,A,B,k6_finseq_1(A),C) = k6_finseq_1(B))))) # label(t38_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4024 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,B) -> (all G (v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(A,B),C) & m2_relset_1(G,k2_zfmisc_1(A,B),C) -> (all H (m2_finseq_1(H,A) -> (H = k10_finseq_1(D,E) -> k10_finseq_1(k2_binop_1(A,B,C,G,D,F),k2_binop_1(A,B,C,G,E,F)) = k4_funcop_1(G,H,F)))))))))))))))))) # label(t101_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4025 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,B) -> (all G (m1_subset_1(G,B) -> (all H (v1_funct_1(H) & v1_funct_2(H,k2_zfmisc_1(A,B),C) & m2_relset_1(H,k2_zfmisc_1(A,B),C) -> (all I (m2_finseq_1(I,A) -> (all J (m2_finseq_1(J,B) -> (J = k10_finseq_1(F,G) & I = k10_finseq_1(D,E) -> k10_finseq_1(k2_binop_1(A,B,C,H,D,F),k2_binop_1(A,B,C,H,E,G)) = k3_funcop_1(H,I,J)))))))))))))))))))))) # label(t89_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4026 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (-v1_xboole_0(C) -> (all D (m2_finseq_1(D,C) -> (all E (v1_funct_2(E,k2_finseq_1(A),k2_finseq_1(B)) & m2_relset_1(E,k2_finseq_1(A),k2_finseq_1(B)) & v1_funct_1(E) -> (r1_xreal_0(B,k3_finseq_1(D)) -> m2_finseq_1(k1_partfun1(k2_finseq_1(A),k2_finseq_1(B),k5_numbers,C,E,D),C) | np__0 = B & A != np__0))))))))))) # label(t49_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4027 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (m1_subset_1(E,C) -> (all F (m2_relset_1(F,k2_zfmisc_1(B,C),D) & v1_funct_2(F,k2_zfmisc_1(B,C),D) & v1_funct_1(F) -> (all G (m2_finseq_2(G,B,k4_finseq_2(A,B)) -> m2_finseq_2(k4_funcop_1(F,G,E),D,k4_finseq_2(A,D)))))))))))))))) # label(t142_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4028 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (k3_square_1(B,C) = A -> k2_finseq_1(A) = k5_subset_1(k5_numbers,k2_finseq_1(B),k2_finseq_1(C))))))))) # label(t2_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4029 (all A all B (v4_ordinal2(A) -> v1_relat_1(k2_finseq_2(A,B)) & v1_funct_1(k2_finseq_2(A,B)) & v1_finseq_1(k2_finseq_2(A,B)))) # label(dt_k2_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4030 (all A (v4_ordinal2(A) -> (all B k3_finseq_1(k2_finseq_2(A,B)) = A))) # label(t69_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4031 (all A all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> -((all C (m2_subset_1(C,k1_numbers,k5_numbers) -> -(r2_hidden(C,k4_finseq_1(B)) & k1_funct_1(B,C) = A))) & r2_hidden(A,k2_relat_1(B))))) # label(t11_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4032 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,B) -> (all F (m1_subset_1(F,B) -> (all G (m1_subset_1(G,B) -> (all H (v1_funct_2(H,k2_zfmisc_1(A,B),C) & m2_relset_1(H,k2_zfmisc_1(A,B),C) & v1_funct_1(H) -> (all I (m2_finseq_1(I,B) -> (k11_finseq_1(E,F,G) = I -> k5_funcop_1(H,D,I) = k11_finseq_1(k2_binop_1(A,B,C,H,D,E),k2_binop_1(A,B,C,H,D,F),k2_binop_1(A,B,C,H,D,G))))))))))))))))))))) # label(t96_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4033 $T # label(t53_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4034 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_finseq_1(C) & v1_funct_1(C) -> (r2_hidden(A,k4_finseq_1(B)) -> r2_hidden(A,k4_finseq_1(k7_finseq_1(B,C)))))))))) # label(t18_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4035 $T # label(t29_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4036 (all A (-v1_xboole_0(A) -> (all B (m2_finseq_2(B,A,k4_finseq_2(np__3,A)) -> (exists C ((exists D (m1_subset_1(D,A) & (exists E (m1_subset_1(E,A) & B = k11_finseq_1(C,D,E))))) & m1_subset_1(C,A))))))) # label(t123_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4037 (all A all B all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (m2_finseq_1(E,C) -> (all F (v1_funct_2(F,C,D) & m2_relset_1(F,C,D) & v1_funct_1(F) -> (E = k10_finseq_1(A,B) -> k1_partfun1(k5_numbers,C,C,D,E,F) = k10_finseq_1(k1_funct_1(F,A),k1_funct_1(F,B))))))))))) # label(t40_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4038 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,k2_finseq_1(A),k2_finseq_1(A)) & v1_funct_2(D,k2_finseq_1(A),k2_finseq_1(A)) -> (k2_relat_1(D) = k2_finseq_1(A) & C = k5_relat_1(D,B) & r1_xreal_0(A,k3_finseq_1(B)) -> A = k3_finseq_1(C)))))))))) # label(t45_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4039 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (m2_finseq_2(C,B,k4_finseq_2(k1_nat_1(A,np__1),B)) -> (exists D ((exists E (k8_finseq_1(B,D,k12_finseq_1(B,E)) = C & m1_subset_1(E,B))) & m2_finseq_2(D,B,k4_finseq_2(A,B)))))))))) # label(t137_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4040 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (-v1_xboole_0(C) -> a_3_0_finseq_2(A,B,C) = k4_finseq_2(k1_nat_1(A,B),C))))))) # label(t125_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4041 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,B) -> (all E (v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) -> (all F (v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(A,B),C) & m2_relset_1(F,k2_zfmisc_1(A,B),C) -> (all G (m2_finseq_1(G,A) -> (E = k4_funcop_1(F,G,D) -> k3_finseq_1(E) = k3_finseq_1(G)))))))))))))))) # label(t98_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4042 (all A (v4_ordinal2(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,B) -> (A != np__0 -> (all D (m1_subset_1(D,k2_finseq_1(A)) -> C = k1_funct_1(k2_finseq_2(A,C),D)))))))))) # label(t71_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4043 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m2_relset_1(D,k2_zfmisc_1(A,B),C) -> (all E (m2_finseq_1(E,A) -> (all F (m2_finseq_1(F,B) -> m2_finseq_1(k3_funcop_1(D,E,F),C))))))))))))) # label(t84_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4044 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (m2_finseq_2(C,B,k4_finseq_2(np__0,B)) -> (all D (m2_finseq_2(D,B,k4_finseq_2(A,B)) -> k8_finseq_1(B,D,C) = D & D = k8_finseq_1(B,C,D))))))))) # label(t115_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4045 (all A (v4_ordinal2(A) -> v1_funct_2(k1_finseq_2(A),k2_finseq_1(A),k2_finseq_1(A)) & v3_funct_2(k1_finseq_2(A),k2_finseq_1(A),k2_finseq_1(A)) & m2_relset_1(k1_finseq_2(A),k2_finseq_1(A),k2_finseq_1(A)) & v1_funct_1(k1_finseq_2(A)))) # label(t65_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4046 (all A (-v1_xboole_0(A) -> (all B (m2_finseq_1(B,A) -> v1_funct_1(B) & v1_funct_2(B,k4_finseq_1(B),A) & m2_relset_1(B,k4_finseq_1(B),A))))) # label(t30_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4047 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (m2_relset_1(E,k2_zfmisc_1(B,C),D) & v1_funct_2(E,k2_zfmisc_1(B,C),D) & v1_funct_1(E) -> (all F (m2_finseq_2(F,B,k4_finseq_2(A,B)) -> (all G (m2_finseq_2(G,C,k4_finseq_2(A,C)) -> m2_finseq_2(k3_funcop_1(E,F,G),D,k4_finseq_2(A,D)))))))))))))))) # label(t140_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4048 (all A all B all C (v4_ordinal2(B) -> ((exists D (m2_finseq_2(D,C,k3_finseq_2(C)) & A = D & B = k3_finseq_1(D))) <-> r2_hidden(A,a_2_0_finseq_2(B,C))))) # label(fraenkel_a_2_0_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4049 $T # label(t12_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4050 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C k7_finseq_1(k2_finseq_2(A,C),k2_finseq_2(B,C)) = k2_finseq_2(k1_nat_1(A,B),C)))))) # label(t143_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4051 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(B)) -> (all D (m2_finseq_2(D,C,k4_finseq_2(A,C)) -> m2_finseq_2(D,B,k4_finseq_2(A,B)))))))))) # label(t129_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4052 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C all D (r2_hidden(D,k1_relat_1(A)) & r2_hidden(C,k1_relat_1(A)) & r2_hidden(B,k1_relat_1(A)) -> k11_finseq_1(k1_funct_1(A,B),k1_funct_1(A,C),k1_funct_1(A,D)) = k5_relat_1(k11_finseq_1(B,C,D),A))))) # label(t146_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4053 (all A (-v1_xboole_0(A) -> (all B (m2_finseq_2(B,A,k4_finseq_2(np__2,A)) -> (exists C ((exists D (B = k10_finseq_1(C,D) & m1_subset_1(D,A))) & m1_subset_1(C,A))))))) # label(t120_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4054 $T # label(t7_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4055 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (r2_hidden(A,k2_finseq_1(B)) -> r2_hidden(A,k2_finseq_1(k1_nat_1(B,C)))))))))) # label(t9_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4056 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B all C (m2_finseq_1(C,B) -> (r2_hidden(A,k4_finseq_1(C)) -> r2_hidden(k1_funct_1(C,A),B)))))) # label(t13_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4057 (all A all B all C all D (m2_subset_1(C,k1_numbers,k5_numbers) & -v1_xboole_0(D) & m2_subset_1(B,k1_numbers,k5_numbers) -> (r2_hidden(A,a_3_0_finseq_2(B,C,D)) <-> (exists E exists F (m2_finseq_2(E,D,k4_finseq_2(B,D)) & m2_finseq_2(F,D,k4_finseq_2(C,D)) & A = k8_finseq_1(D,E,F)))))) # label(fraenkel_a_3_0_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4058 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (v1_relat_1(C) & v1_finseq_1(C) & v1_funct_1(C) -> -(k3_finseq_1(C) = k1_nat_1(A,B) & (all D (v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) -> (all E (v1_funct_1(E) & v1_finseq_1(E) & v1_relat_1(E) -> -(C = k7_finseq_1(D,E) & B = k3_finseq_1(E) & A = k3_finseq_1(D))))))))))))) # label(t25_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4059 (all A k2_finseq_2(np__1,A) = k9_finseq_1(A)) # label(t73_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4060 (all A (v4_ordinal2(A) -> (all B all C (r2_hidden(B,k2_finseq_1(A)) -> C = k1_funct_1(k2_finseq_2(A,C),B))))) # label(t70_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4061 (all A (v4_ordinal2(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> k5_relat_1(k1_finseq_2(A),B) = k7_relat_1(B,k2_finseq_1(A)))))) # label(t63_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4062 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> m2_subset_1(k2_square_1(np__0,k6_xcmplx_0(A,B)),k1_numbers,k5_numbers))))) # label(t5_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4063 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (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,B) -> (all H (v1_funct_1(H) & m2_relset_1(H,k2_zfmisc_1(A,B),C) & v1_funct_2(H,k2_zfmisc_1(A,B),C) -> (all I (m2_finseq_1(I,A) -> (k11_finseq_1(D,E,F) = I -> k4_funcop_1(H,I,G) = k11_finseq_1(k2_binop_1(A,B,C,H,D,G),k2_binop_1(A,B,C,H,E,G),k2_binop_1(A,B,C,H,F,G))))))))))))))))))))) # label(t102_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4064 $T # label(t67_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4065 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v1_funct_2(B,k4_finseq_1(A),k4_finseq_1(A)) & m2_relset_1(B,k4_finseq_1(A),k4_finseq_1(A)) & v1_funct_1(B) -> v1_funct_1(k5_relat_1(B,A)) & v1_finseq_1(k5_relat_1(B,A)) & v1_relat_1(k5_relat_1(B,A)))))) # label(t44_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4066 (all A (-v1_xboole_0(A) -> (all B (m2_finseq_2(B,A,k4_finseq_2(np__1,A)) -> (exists C (B = k12_finseq_1(A,C) & m1_subset_1(C,A))))))) # label(t117_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4067 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> k7_finseq_1(k1_finseq_2(A),k12_finseq_1(k5_numbers,k1_nat_1(A,np__1))) = k1_finseq_2(k1_nat_1(A,np__1)))) # label(t60_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4068 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> m2_finseq_2(k1_finseq_2(A),k5_numbers,k4_finseq_2(A,k5_numbers)))) # label(t131_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4069 (all A (v4_ordinal2(A) -> (all B a_2_0_finseq_2(A,B) = k4_finseq_2(A,B)))) # label(d4_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4070 $T # label(t106_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4071 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (A != np__0 -> (all B (m1_subset_1(B,k2_finseq_1(A)) -> B = k1_funct_1(k1_finseq_2(A),B)))))) # label(t57_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4072 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (-v1_xboole_0(C) -> (all D (m2_finseq_1(D,C) -> -((all E (m2_finseq_1(E,C) -> (all F (m2_finseq_1(F,C) -> -(D = k8_finseq_1(C,E,F) & k3_finseq_1(F) = B & k3_finseq_1(E) = A))))) & k3_finseq_1(D) = k1_nat_1(A,B)))))))))) # label(t26_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4073 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (r1_tarski(k2_zfmisc_1(k2_relat_1(A),k2_relat_1(B)),k1_relat_1(D)) & C = k3_funcop_1(D,A,B) -> k3_finseq_1(C) = k3_square_1(k3_finseq_1(A),k3_finseq_1(B))))))))))) # label(t79_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4074 (all A all B (m1_finseq_2(B,A) <-> (all C (r2_hidden(C,B) -> m2_finseq_1(C,A))))) # label(d3_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4075 $T # label(dt_m1_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4076 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_2(C,k2_finseq_1(A),k2_finseq_1(A)) & m2_relset_1(C,k2_finseq_1(A),k2_finseq_1(A)) & v1_funct_1(C) -> (r1_xreal_0(A,k3_finseq_1(B)) -> v1_relat_1(k5_relat_1(C,B)) & v1_funct_1(k5_relat_1(C,B)) & v1_finseq_1(k5_relat_1(C,B))))))))) # label(t43_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4077 (all A all B (-v1_xboole_0(B) -> ((exists C (m1_subset_1(C,B) & k12_finseq_1(B,C) = A)) <-> r2_hidden(A,a_1_0_finseq_2(B))))) # label(fraenkel_a_1_0_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4078 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,A) -> (all E (v1_finseq_1(E) & v1_funct_1(E) & v1_relat_1(E) -> (all F (v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(A,B),C) & m2_relset_1(F,k2_zfmisc_1(A,B),C) -> (all G (m2_finseq_1(G,B) -> (k5_funcop_1(F,D,G) = E -> k3_finseq_1(G) = k3_finseq_1(E)))))))))))))))) # label(t92_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4079 (all A (-v1_xboole_0(A) -> (all B (m2_finseq_1(B,A) -> (all C (v1_funct_2(C,k4_finseq_1(B),k4_finseq_1(B)) & m2_relset_1(C,k4_finseq_1(B),k4_finseq_1(B)) & v1_funct_1(C) -> m2_finseq_1(k1_partfun1(k4_finseq_1(B),k4_finseq_1(B),k5_numbers,A,C,B),A))))))) # label(t51_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4080 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B ((all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (r2_hidden(C,k4_finseq_1(A)) -> r2_hidden(k1_funct_1(A,C),B)))) -> m2_finseq_1(A,B))))) # label(t14_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4081 (all A exists B m1_finseq_2(B,A)) # label(existence_m1_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4082 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> k1_funct_2(k2_finseq_1(A),B) = k4_finseq_2(A,B))))) # label(t111_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4083 (all A (v4_ordinal2(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> (r1_xreal_0(k3_finseq_1(B),A) -> B = k5_relat_1(k1_finseq_2(A),B)))))) # label(t64_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4084 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,k5_numbers,B) & v1_funct_2(C,k5_numbers,B) & v1_funct_1(C) -> m2_finseq_1(k2_partfun1(k5_numbers,B,C,k2_finseq_1(A)),B))))))) # label(t31_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4085 $T # label(t17_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4086 (all A (-v1_xboole_0(A) -> a_1_2_finseq_2(A) = k4_finseq_2(np__3,A))) # label(t122_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4087 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (m2_finseq_2(C,B,k4_finseq_2(A,B)) -> (all D (m2_finseq_2(D,B,k4_finseq_2(A,B)) -> ((all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (r2_hidden(E,k2_finseq_1(A)) -> k1_funct_1(C,E) = k1_funct_1(D,E)))) -> D = C))))))))) # label(t139_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.45	4088 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k4_finseq_1(A),k4_finseq_1(A)) & v3_funct_2(C,k4_finseq_1(A),k4_finseq_1(A)) & m2_relset_1(C,k4_finseq_1(A),k4_finseq_1(A)) -> (k5_relat_1(C,A) = B -> k3_finseq_1(B) = k3_finseq_1(A)))))))) # label(t48_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4089 (all A (m1_finseq_2(k3_finseq_2(A),A) & -v1_xboole_0(k3_finseq_2(A)))) # label(dt_k3_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4090 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (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,B) -> (all H (m1_subset_1(H,B) -> (all I (m1_subset_1(I,B) -> (all J (v1_funct_2(J,k2_zfmisc_1(A,B),C) & m2_relset_1(J,k2_zfmisc_1(A,B),C) & v1_funct_1(J) -> (all K (m2_finseq_1(K,A) -> (all L (m2_finseq_1(L,B) -> (K = k11_finseq_1(D,E,F) & L = k11_finseq_1(G,H,I) -> k3_funcop_1(J,K,L) = k11_finseq_1(k2_binop_1(A,B,C,J,D,G),k2_binop_1(A,B,C,J,E,H),k2_binop_1(A,B,C,J,F,I))))))))))))))))))))))))))) # label(t90_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4091 $T # label(t103_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4092 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> k3_square_1(np__0,A) = np__0 & k4_square_1(A,np__0) = A & k4_square_1(np__0,A) = A & np__0 = k3_square_1(A,np__0))) # label(t6_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4093 (all A (v4_ordinal2(A) -> k6_partfun1(k2_finseq_1(A)) = k1_finseq_2(A))) # label(d1_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4094 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m2_finseq_2(D,B,k4_finseq_2(A,B)) -> (all E (v1_funct_1(E) & v1_funct_2(E,B,C) & m2_relset_1(E,B,C) -> m2_finseq_2(k1_partfun1(k5_numbers,B,B,C,D,E),C,k4_finseq_2(A,C)))))))))))) # label(t133_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4095 (all A all B (v4_ordinal2(A) & -v1_xboole_0(B) -> -v1_xboole_0(k4_finseq_2(A,B)))) # label(fc1_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4096 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> m2_finseq_1(k11_finseq_1(B,C,D),A))))))))) # label(t16_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4097 (all A all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(k2_zfmisc_1(k2_relat_1(B),k1_tarski(A)),k1_relat_1(C)) -> v1_funct_1(k4_funcop_1(C,B,A)) & v1_finseq_1(k4_funcop_1(C,B,A)) & v1_relat_1(k4_funcop_1(C,B,A))))))) # label(t82_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4098 (exists A (m2_finseq_1(A,f2_s1_finseq_2) & (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r2_hidden(B,k2_finseq_1(f1_s1_finseq_2)) -> k1_funct_1(A,B) = f3_s1_finseq_2(B)))) & f1_s1_finseq_2 = k3_finseq_1(A))) # label(s1_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4099 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> -(-r2_hidden(A,k2_finseq_1(B)) & k1_nat_1(B,np__1) != A & r2_hidden(A,k2_finseq_1(k1_nat_1(B,np__1)))))))) # label(t8_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4100 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(B) -> (all C (-v1_xboole_0(C) & m1_finseq_2(C,B) -> -v1_xboole_0(C) & m1_finseq_2(C,A))))))) # label(t107_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4101 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (-v1_xboole_0(C) -> (all D (m2_finseq_2(D,C,k4_finseq_2(k1_nat_1(A,B),C)) -> (exists E ((exists F (k8_finseq_1(C,E,F) = D & m2_finseq_2(F,C,k4_finseq_2(B,C)))) & m2_finseq_2(E,C,k4_finseq_2(A,C)))))))))))) # label(t126_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4102 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> (all C (v1_finseq_1(C) & v1_funct_1(C) & v1_relat_1(C) -> (k7_relat_1(C,k2_finseq_1(A)) = B & r1_xreal_0(k3_finseq_1(C),A) -> B = C))))))) # label(t23_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4103 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (k2_finseq_1(A) = B -> (all D (m2_finseq_1(D,C) -> (all E (m2_finseq_1(E,B) -> (r1_xreal_0(A,k3_finseq_1(D)) -> m2_finseq_1(k1_partfun1(k5_numbers,B,k5_numbers,C,E,D),C))))))))))))) # label(t35_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4104 (all A (v4_ordinal2(A) -> (all B (v1_relat_1(k2_funcop_1(k2_finseq_1(A),B)) & v1_funct_1(k2_funcop_1(k2_finseq_1(A),B)) & v1_finseq_1(k2_funcop_1(k2_finseq_1(A),B)))))) # label(t66_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4105 (all A all B (-v1_xboole_0(B) & m1_finseq_2(B,A) -> (all C (m2_finseq_2(C,A,B) <-> m1_subset_1(C,B))))) # label(redefinition_m2_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4106 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B k7_finseq_1(k2_finseq_2(A,B),k9_finseq_1(B)) = k2_finseq_2(k1_nat_1(A,np__1),B)))) # label(t74_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4107 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (-v1_xboole_0(C) -> (k4_finseq_2(B,C) = k4_finseq_2(A,C) -> A = B))))))) # label(t130_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4108 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(k2_zfmisc_1(k2_relat_1(A),k2_relat_1(B)),k1_relat_1(C)) -> v1_relat_1(k3_funcop_1(C,A,B)) & v1_funct_1(k3_funcop_1(C,A,B)) & v1_finseq_1(k3_funcop_1(C,A,B))))))))) # label(t78_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4109 (all A (-v1_xboole_0(A) -> a_1_1_finseq_2(A) = k4_finseq_2(np__2,A))) # label(t119_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4110 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (m2_finseq_1(C,B) -> (all D (m2_relset_1(D,k2_finseq_1(A),k2_finseq_1(A)) & v1_funct_2(D,k2_finseq_1(A),k2_finseq_1(A)) & v1_funct_1(D) -> (r1_xreal_0(A,k3_finseq_1(C)) -> m2_finseq_1(k1_partfun1(k2_finseq_1(A),k2_finseq_1(A),k5_numbers,B,D,C),B)))))))))) # label(t50_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4111 (all A (-v1_xboole_0(A) -> a_1_0_finseq_2(A) = k4_finseq_2(np__1,A))) # label(t116_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4112 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,B) -> (all F (m1_subset_1(F,B) -> (all G (v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(A,B),C) & m2_relset_1(G,k2_zfmisc_1(A,B),C) -> (all H (m2_finseq_1(H,B) -> (H = k10_finseq_1(E,F) -> k10_finseq_1(k2_binop_1(A,B,C,G,D,E),k2_binop_1(A,B,C,G,D,F)) = k5_funcop_1(G,D,H)))))))))))))))))) # label(t95_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4113 (all A exists B (-v1_xboole_0(B) & m1_finseq_2(B,A))) # label(rc1_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4114 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,B) -> (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) -> k6_finseq_1(C) = k4_funcop_1(E,k6_finseq_1(A),D))))))))))) # label(t99_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4115 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> (all C (v1_relat_1(C) & v1_finseq_1(C) & v1_funct_1(C) -> (A = k3_finseq_1(B) & A = k3_finseq_1(C) & (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r2_hidden(D,k2_finseq_1(A)) -> k1_funct_1(C,D) = k1_funct_1(B,D)))) -> C = B))))))) # label(t10_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4116 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,B) -> m2_finseq_2(k2_finseq_2(A,C),B,k4_finseq_2(A,B)))))))) # label(t132_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4117 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_finseq_1(C) & v1_funct_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,k2_finseq_1(A),k2_finseq_1(A)) & v3_funct_2(D,k2_finseq_1(A),k2_finseq_1(A)) & v1_funct_2(D,k2_finseq_1(A),k2_finseq_1(A)) -> (r1_xreal_0(A,k3_finseq_1(B)) & k5_relat_1(D,B) = C -> k3_finseq_1(C) = A))))))))) # label(t47_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4118 (all A m1_subset_1(k6_finseq_1(A),k4_finseq_2(np__0,A))) # label(t114_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4119 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> m2_subset_1(k3_square_1(A,B),k1_numbers,k5_numbers) & m2_subset_1(k4_square_1(A,B),k1_numbers,k5_numbers))))) # label(t1_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4120 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (-v1_xboole_0(C) -> (all D (m2_finseq_2(D,C,k4_finseq_2(A,C)) -> (all E (m2_finseq_2(E,C,k4_finseq_2(B,C)) -> m2_finseq_2(k8_finseq_1(C,D,E),C,k4_finseq_2(k1_nat_1(A,B),C)))))))))))) # label(t127_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4121 (all A all B (v4_ordinal2(A) -> m1_finseq_2(k4_finseq_2(A,B),B))) # label(dt_k4_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4122 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,k2_finseq_1(A),B) & v1_funct_2(C,k2_finseq_1(A),B) & v1_funct_1(C) -> m2_finseq_1(C,B))))))) # label(t28_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4123 (all A k4_finseq_2(np__0,A) = k6_domain_1(k1_zfmisc_1(k2_zfmisc_1(k5_numbers,A)),k6_finseq_1(A))) # label(t112_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4124 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C (r2_hidden(B,k1_relat_1(A)) & r2_hidden(C,k1_relat_1(A)) -> k10_finseq_1(k1_funct_1(A,B),k1_funct_1(A,C)) = k5_relat_1(k10_finseq_1(B,C),A))))) # label(t145_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4125 (all A all B (m1_finseq_2(B,A) & -v1_xboole_0(B) -> (all C (m2_finseq_2(C,A,B) -> m2_finseq_1(C,A))))) # label(dt_m2_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4126 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> -((all C (v1_relat_1(C) & v1_finseq_1(C) & v1_funct_1(C) -> (all D k7_finseq_1(C,k9_finseq_1(D)) != B))) & k1_nat_1(A,np__1) = k3_finseq_1(B)))))) # label(t21_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4127 (all A (-v1_xboole_0(A) -> (all B (m2_finseq_1(B,A) -> -(np__0 != k3_finseq_1(B) & (all C (m2_finseq_1(C,A) -> (all D (m1_subset_1(D,A) -> B != k8_finseq_1(A,C,k12_finseq_1(A,D))))))))))) # label(t22_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4128 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (m2_finseq_2(C,B,k4_finseq_2(A,B)) -> (all D (m2_relset_1(D,k2_finseq_1(A),k2_finseq_1(A)) & v1_funct_2(D,k2_finseq_1(A),k2_finseq_1(A)) & v1_funct_1(D) -> (k2_finseq_1(A) = k2_relat_1(D) -> m2_finseq_2(k1_partfun1(k2_finseq_1(A),k2_finseq_1(A),k5_numbers,B,D,C),B,k4_finseq_2(A,B))))))))))) # label(t134_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4129 $T # label(t108_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4130 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,B) -> (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) -> (all G (m2_finseq_1(G,B) -> (k12_finseq_1(B,E) = G -> k5_funcop_1(F,D,G) = k12_finseq_1(C,k2_binop_1(A,B,C,F,D,E))))))))))))))))) # label(t94_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4131 (all A all B all C k1_enumset1(A,B,C) = k2_relat_1(k11_finseq_1(A,B,C))) # label(t148_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4132 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> (all C (v1_funct_1(C) & v1_finseq_1(C) & v1_relat_1(C) -> (B = k7_relat_1(C,k2_finseq_1(A)) -> k3_finseq_1(B) = k3_square_1(A,k3_finseq_1(C))))))))) # label(t24_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4133 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (m2_finseq_2(C,B,k4_finseq_2(A,B)) -> (all D (v1_funct_1(D) & v1_funct_2(D,k2_finseq_1(A),k2_finseq_1(A)) & m2_relset_1(D,k2_finseq_1(A),k2_finseq_1(A)) & v3_funct_2(D,k2_finseq_1(A),k2_finseq_1(A)) -> m2_finseq_2(k1_partfun1(k2_finseq_1(A),k2_finseq_1(A),k5_numbers,B,D,C),B,k4_finseq_2(A,B)))))))))) # label(t135_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4134 (all A all B all C (v1_relat_1(C) & v1_finseq_1(C) & v1_funct_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) -> (k7_finseq_1(C,k9_finseq_1(A)) = k7_finseq_1(D,k9_finseq_1(B)) -> A = B & D = C))))) # label(t20_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4135 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (m2_finseq_2(C,B,k4_finseq_2(A,B)) -> k4_finseq_1(C) = k2_finseq_1(A))))))) # label(t144_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4136 (all A all B (m1_subset_1(B,k4_finseq_2(np__0,A)) -> B = k6_finseq_1(A))) # label(t113_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4137 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r1_xreal_0(A,B) -> k6_xcmplx_0(B,A) = k2_square_1(np__0,k6_xcmplx_0(B,A))))))) # label(t4_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4138 (all A all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_finseq_1(C) & v1_relat_1(C) -> (all D (m2_finseq_1(D,A) -> (all E (v1_funct_1(E) & v1_funct_2(E,A,B) & m2_relset_1(E,A,B) -> (k1_partfun1(k5_numbers,A,A,B,D,E) = C -> k3_finseq_1(C) = k3_finseq_1(D)))))))))) # label(t37_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4139 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m2_finseq_1(C,B) -> m2_finseq_1(C,A))))))) # label(t27_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4140 (all A all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> (all C (v1_funct_1(C) & v1_finseq_1(C) & v1_relat_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (C = k5_funcop_1(D,A,B) & r1_tarski(k2_zfmisc_1(k1_tarski(A),k2_relat_1(B)),k1_relat_1(D)) -> k3_finseq_1(B) = k3_finseq_1(C)))))))) # label(t81_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4141 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (m1_subset_1(E,B) -> (all F (v1_funct_1(F) & m2_relset_1(F,k2_zfmisc_1(B,C),D) & v1_funct_2(F,k2_zfmisc_1(B,C),D) -> (all G (m2_finseq_2(G,C,k4_finseq_2(A,C)) -> m2_finseq_2(k5_funcop_1(F,E,G),D,k4_finseq_2(A,D)))))))))))))))) # label(t141_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4142 (all A all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m2_finseq_1(D,B) -> (all E (m2_relset_1(E,B,C) & v1_funct_2(E,B,C) & v1_funct_1(E) -> (D = k9_finseq_1(A) -> k9_finseq_1(k1_funct_1(E,A)) = k1_partfun1(k5_numbers,B,B,C,D,E)))))))))) # label(t39_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4143 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (k2_finseq_1(A) = B -> (all C (v1_funct_1(C) & v1_finseq_1(C) & v1_relat_1(C) -> (all D (m2_finseq_1(D,B) -> (r1_xreal_0(A,k3_finseq_1(C)) -> v1_finseq_1(k5_relat_1(D,C)) & v1_funct_1(k5_relat_1(D,C)) & v1_relat_1(k5_relat_1(D,C)))))))))))) # label(t34_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4144 (all A k3_finseq_2(A) = k13_finseq_1(A)) # label(redefinition_k3_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4145 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,B) -> (all E (m2_relset_1(E,k2_zfmisc_1(A,B),C) & v1_funct_2(E,k2_zfmisc_1(A,B),C) & v1_funct_1(E) -> (all F (m2_finseq_1(F,A) -> m2_finseq_1(k4_funcop_1(E,F,D),C))))))))))))) # label(t97_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4146 (all A (v4_ordinal2(A) -> k3_finseq_1(k1_finseq_2(A)) = A)) # label(t55_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4147 (all A all B (-v1_xboole_0(B) -> ((exists C (A = k4_finseq_2(C,B) & m2_subset_1(C,k1_numbers,k5_numbers))) <-> r2_hidden(A,a_1_3_finseq_2(B))))) # label(fraenkel_a_1_3_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4148 (all A all B (m1_finseq_2(B,A) & -v1_xboole_0(B) -> r1_tarski(B,k3_finseq_2(A)))) # label(t105_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4149 (all A k2_finseq_2(np__3,A) = k11_finseq_1(A,A,A)) # label(t76_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4150 (all A (-v1_xboole_0(A) -> k3_tarski(a_1_3_finseq_2(A)) = k3_finseq_2(A))) # label(t128_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4151 (all A (m1_finseq_2(k13_finseq_1(A),A) & -v1_xboole_0(k13_finseq_1(A)))) # label(t104_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4152 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> (all C (m2_relset_1(C,k4_finseq_1(A),k4_finseq_1(A)) & v1_funct_2(C,k4_finseq_1(A),k4_finseq_1(A)) & v1_funct_1(C) -> (k5_relat_1(C,A) = B & k4_finseq_1(A) = k2_relat_1(C) -> k3_finseq_1(B) = k3_finseq_1(A)))))))) # label(t46_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4153 (all A all B all C all D (-v1_xboole_0(D) -> (all E (-v1_xboole_0(E) -> (all F (m2_finseq_1(F,D) -> (all G (v1_funct_2(G,D,E) & m2_relset_1(G,D,E) & v1_funct_1(G) -> (k11_finseq_1(A,B,C) = F -> k11_finseq_1(k1_funct_1(G,A),k1_funct_1(G,B),k1_funct_1(G,C)) = k1_partfun1(k5_numbers,D,D,E,F,G)))))))))) # label(t41_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4154 (all A all B all C (m2_finseq_1(C,A) -> (all D (v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D) -> m2_finseq_1(k1_partfun1(k5_numbers,A,A,B,C,D),B))))) # label(t36_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4155 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (v1_finseq_1(D) & v1_funct_1(D) & v1_relat_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 (m2_finseq_1(F,A) -> (all G (m2_finseq_1(G,B) -> (k3_finseq_1(F) = k3_finseq_1(G) & k3_funcop_1(E,F,G) = D -> k3_finseq_1(D) = k3_finseq_1(G) & k3_finseq_1(D) = k3_finseq_1(F)))))))))))))))) # label(t86_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4156 p1_s2_finseq_2(k6_finseq_1(f1_s2_finseq_2)) & (all A (m2_finseq_1(A,f1_s2_finseq_2) -> (all B (m1_subset_1(B,f1_s2_finseq_2) -> (p1_s2_finseq_2(A) -> p1_s2_finseq_2(k8_finseq_1(f1_s2_finseq_2,A,k12_finseq_1(f1_s2_finseq_2,B)))))))) -> (all A (m2_finseq_1(A,f1_s2_finseq_2) -> p1_s2_finseq_2(A))) # label(s2_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4157 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,B) -> (all F (v1_funct_1(F) & m2_relset_1(F,k2_zfmisc_1(A,B),C) & v1_funct_2(F,k2_zfmisc_1(A,B),C) -> (all G (m2_finseq_1(G,A) -> (all H (m2_finseq_1(H,B) -> (k12_finseq_1(B,E) = H & k12_finseq_1(A,D) = G -> k12_finseq_1(C,k2_binop_1(A,B,C,F,D,E)) = k3_funcop_1(F,G,H)))))))))))))))))) # label(t88_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4158 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> m2_finseq_2(k12_finseq_1(A,B),A,k4_finseq_2(np__1,A)))))) # label(t118_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4159 (all A all B (m1_finseq_2(B,A) & -v1_xboole_0(B) -> (exists C m2_finseq_2(C,A,B)))) # label(existence_m2_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4160 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (m2_finseq_2(C,B,k4_finseq_2(A,B)) -> k5_relat_1(k1_finseq_2(A),C) = C)))))) # label(t138_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4161 (all A k2_finseq_2(np__2,A) = k10_finseq_1(A,A)) # label(t75_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4162 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) -> (all D (m2_relset_1(D,k2_finseq_1(A),k2_finseq_1(B)) & v1_funct_2(D,k2_finseq_1(A),k2_finseq_1(B)) & v1_funct_1(D) -> (r1_xreal_0(B,k3_finseq_1(C)) -> v1_finseq_1(k5_relat_1(D,C)) & v1_funct_1(k5_relat_1(D,C)) & v1_relat_1(k5_relat_1(D,C)) | np__0 != A & B = np__0))))))))) # label(t42_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4163 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> m2_finseq_1(k10_finseq_1(B,C),A))))))) # label(t15_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4164 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,A) -> (all E (m2_relset_1(E,k2_zfmisc_1(A,B),C) & v1_funct_2(E,k2_zfmisc_1(A,B),C) & v1_funct_1(E) -> k5_funcop_1(E,D,k6_finseq_1(B)) = k6_finseq_1(C))))))))))) # label(t93_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4165 (all A (v4_ordinal2(A) -> m2_finseq_1(k6_partfun1(k2_finseq_1(A)),k5_numbers))) # label(t52_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4166 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) -> (all D (v1_funct_2(D,k5_numbers,B) & m2_relset_1(D,k5_numbers,B) & v1_funct_1(D) -> (C = k2_partfun1(k5_numbers,B,D,k2_finseq_1(A)) -> k3_finseq_1(C) = A))))))))) # label(t32_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4167 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,B) -> (all F (v1_funct_2(F,k2_zfmisc_1(A,B),C) & m2_relset_1(F,k2_zfmisc_1(A,B),C) & v1_funct_1(F) -> (all G (m2_finseq_1(G,A) -> (G = k12_finseq_1(A,D) -> k4_funcop_1(F,G,E) = k12_finseq_1(C,k2_binop_1(A,B,C,F,D,E))))))))))))))))) # label(t100_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4168 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(k2_relat_1(A),k1_relat_1(C)) & k5_relat_1(A,C) = B -> k3_finseq_1(A) = k3_finseq_1(B)))))))) # label(t33_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4169 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> m2_finseq_2(k11_finseq_1(B,C,D),A,k4_finseq_2(np__3,A)))))))))) # label(t124_finseq_2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4170 (all A all B -((all C (v3_ordinal1(C) -> -(-r2_hidden(A,k3_classes1(B,C)) & r2_hidden(A,k3_classes1(B,k1_ordinal1(C)))))) & r2_hidden(A,k1_classes1(B)) & B != A)) # label(t24_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4171 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r2_hidden(k4_classes1(A),k4_classes1(B)) <-> r2_hidden(A,B)))))) # label(t42_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4172 (all A all B (r1_tarski(A,B) & v1_ordinal1(B) & (all C (v1_ordinal1(C) & r1_tarski(A,C) -> r1_tarski(B,C))) -> k5_classes1(A) = B)) # label(t61_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4173 (all A -(v1_ordinal1(A) & (all B (v3_ordinal1(B) -> -r1_tarski(k1_classes1(A),k4_classes1(B)))))) # label(t53_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4174 (all A all B (r1_tarski(A,k1_classes1(B)) & r2_hidden(k1_card_1(A),k1_card_1(k1_classes1(B))) -> r2_hidden(A,k1_classes1(B)))) # label(t9_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4175 (all A k5_classes1(k5_classes1(A)) = k5_classes1(A)) # label(t66_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4176 (all A exists B (v3_ordinal1(B) & k1_classes1(A) = k3_classes1(A,B) & (all C (v3_ordinal1(C) -> -(k3_classes1(A,C) = k1_classes1(A) & r2_hidden(C,B)))))) # label(t23_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4177 (all A all B (v3_ordinal1(B) -> (v4_ordinal1(B) -> k3_classes1(A,B) = a_2_2_classes1(A,B) | B = k1_xboole_0))) # label(t12_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4178 (all A (k1_xboole_0 = A <-> k6_classes1(A) = k1_xboole_0)) # label(t79_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4179 (all A all B (v3_ordinal1(B) -> (r2_hidden(A,k4_classes1(B)) <-> r2_hidden(k1_tarski(A),k4_classes1(k1_ordinal1(B)))))) # label(t49_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4180 (all A all B (v1_ordinal1(A) & v1_ordinal1(B) -> v1_ordinal1(k3_xboole_0(A,B)))) # label(t56_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4181 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r1_tarski(k4_classes1(A),k4_classes1(B)) <-> r1_ordinal1(A,B)))))) # label(t43_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4182 (all A all B (v2_classes1(B) & r2_hidden(A,B) <-> r1_classes1(A,B))) # label(d3_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4183 (all A all B all C (r1_tarski(C,k1_classes1(B)) & r1_tarski(A,k1_classes1(B)) -> r1_tarski(k2_zfmisc_1(A,C),k1_classes1(B)))) # label(t32_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4184 (all A all B all C (v3_ordinal1(C) -> (-(-(r1_tarski(A,k3_classes1(B,C)) & r2_hidden(A,k1_classes1(B))) & (all D -(r2_hidden(D,k3_classes1(B,C)) & (k1_zfmisc_1(D) = A | r1_tarski(A,D))))) <-> r2_hidden(A,k3_classes1(B,k1_ordinal1(C)))))) # label(t13_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4185 (all A all B ((all C (r2_hidden(C,B) <-> (exists D (v1_relat_1(D) & v1_funct_1(D) & (exists E (r2_hidden(C,k1_funct_1(D,E)) & k1_funct_1(D,np__0) = A & (all F (m2_subset_1(F,k1_numbers,k5_numbers) -> k3_tarski(k1_funct_1(D,F)) = k1_funct_1(D,k1_nat_1(F,np__1)))) & k5_numbers = k1_relat_1(D) & m2_subset_1(E,k1_numbers,k5_numbers))))))) <-> k5_classes1(A) = B)) # label(d7_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4186 $T # label(dt_k1_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4187 (all A all B (v3_ordinal1(B) -> -((all C -(B = k6_classes1(C) & r2_hidden(C,A))) & k1_ordinal1(B) = k6_classes1(A)))) # label(t80_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4188 (all A all B (r2_hidden(A,k1_classes1(B)) -> r2_hidden(k1_card_1(A),k1_card_1(k1_classes1(B))))) # label(t28_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4189 (all A all B all C (r2_hidden(B,k1_classes1(A)) & r2_hidden(C,k1_classes1(A)) -> r2_hidden(k4_tarski(B,C),k1_classes1(A)))) # label(t31_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4190 (all A exists B (v3_ordinal1(B) & r1_tarski(A,k4_classes1(B)))) # label(t69_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4191 (all A all B (v3_ordinal1(B) -> (r1_ordinal1(k6_classes1(A),B) <-> (all C (r2_hidden(C,A) -> r2_hidden(k6_classes1(C),B)))))) # label(t77_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4192 $T # label(t4_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4193 (all A all B (v3_ordinal1(B) -> (r2_hidden(A,k4_classes1(B)) -> r2_hidden(k3_tarski(A),k4_classes1(B))))) # label(t41_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4194 (all A (v2_classes1(A) <-> v1_classes1(A) & (all B (r2_hidden(k1_card_1(B),k1_card_1(A)) & r1_tarski(B,A) -> r2_hidden(B,A))) & (all B (r2_hidden(B,A) -> r2_hidden(k1_zfmisc_1(B),A))))) # label(t2_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4195 (all A all B all C (v3_ordinal1(C) -> (r2_hidden(k2_tarski(A,B),k4_classes1(k1_ordinal1(C))) <-> r2_hidden(B,k4_classes1(C)) & r2_hidden(A,k4_classes1(C))))) # label(t50_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4196 (all A all B all C all D (v1_relat_1(C) & v5_ordinal1(C) & v3_ordinal1(D) & v1_funct_1(C) -> ((exists E (r2_hidden(E,k1_funct_1(C,D)) & k1_zfmisc_1(E) = A & m1_subset_1(E,k1_classes1(B)))) <-> r2_hidden(A,a_3_1_classes1(B,C,D))))) # label(fraenkel_a_3_1_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4197 (all A all B all C all D (v1_funct_1(C) & v5_ordinal1(C) & v3_ordinal1(D) & v1_relat_1(C) -> ((exists E ((exists F (m1_subset_1(F,k1_classes1(B)) & r2_hidden(F,k1_funct_1(C,D)) & r1_tarski(E,F))) & E = A & m1_subset_1(E,k1_classes1(B)))) <-> r2_hidden(A,a_3_0_classes1(B,C,D))))) # label(fraenkel_a_3_0_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4198 (all A all B (r2_hidden(A,k1_classes1(B)) -> r2_hidden(k1_zfmisc_1(A),k1_classes1(B)))) # label(t7_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4199 (all A (v1_ordinal1(A) -> v1_ordinal1(k1_classes1(A)))) # label(t27_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4200 $T # label(t1_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4201 (all A all B -(r1_tarski(A,k1_classes1(B)) & -r2_tarski(A,k1_classes1(B)) & -r2_hidden(A,k1_classes1(B)))) # label(t8_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4202 (all A (v1_ordinal1(A) -> r1_tarski(k3_tarski(A),A))) # label(t54_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4203 (all A all B (v3_ordinal1(B) -> (k3_classes1(A,k1_ordinal1(B)) = k3_classes1(A,B) -> k1_classes1(A) = k3_classes1(A,B)))) # label(t21_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4204 (all A all B (v3_ordinal1(B) -> (B = k6_classes1(A) <-> r1_tarski(A,k4_classes1(B)) & (all C (v3_ordinal1(C) -> (r1_tarski(A,k4_classes1(C)) -> r1_ordinal1(B,C))))))) # label(d8_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4205 (all A r2_hidden(A,k1_classes1(A))) # label(t5_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4206 (all A (v1_ordinal1(A) -> k5_classes1(A) = A)) # label(t62_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4207 (all A k1_tarski(A) = k3_classes1(A,k1_xboole_0)) # label(t10_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4208 (all A (v1_ordinal1(A) -> (all B (v3_ordinal1(B) -> (k1_xboole_0 != B -> v1_ordinal1(k3_classes1(A,B))))))) # label(t25_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4209 (all A all B (v3_ordinal1(B) -> (all C (v3_ordinal1(C) -> (r1_ordinal1(B,C) -> r1_tarski(k3_classes1(A,B),k3_classes1(A,C))))))) # label(t19_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4210 (all A all B (v3_ordinal1(B) -> (k3_xboole_0(k4_classes1(B),k1_classes1(A)) = k3_xboole_0(k4_classes1(k1_ordinal1(B)),k1_classes1(A)) & v1_ordinal1(A) -> r1_tarski(k1_classes1(A),k4_classes1(B))))) # label(t52_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4211 (all A all B all C (v3_ordinal1(C) -> (r1_tarski(A,B) & r2_hidden(B,k4_classes1(C)) -> r2_hidden(A,k4_classes1(C))))) # label(t47_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4212 (all A (v3_ordinal1(A) -> (v4_ordinal1(A) -> A = k1_xboole_0 | (all B (r2_hidden(B,k4_classes1(A)) <-> (exists C (r2_hidden(B,k4_classes1(C)) & r2_hidden(C,A) & v3_ordinal1(C)))))))) # label(t35_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4213 (all A exists B (k3_classes1(A,B) = k1_classes1(A) & v3_ordinal1(B))) # label(t22_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4214 (all A ((all B all C (r1_tarski(C,B) & r2_hidden(B,A) -> r2_hidden(C,A))) <-> v1_classes1(A))) # label(d1_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4215 (all A (v3_ordinal1(A) -> k6_classes1(A) = A)) # label(t81_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4216 (all A -v1_xboole_0(k1_classes1(A))) # label(fc1_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4217 (all A all B all C (v3_ordinal1(C) -> (v4_ordinal1(C) -> k1_xboole_0 = C | ((exists D (v3_ordinal1(D) & r2_hidden(B,k3_classes1(A,D)) & r2_hidden(D,C))) <-> r2_hidden(B,k3_classes1(A,C)))))) # label(t16_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4218 (all A all B r1_tarski(k5_classes1(k3_xboole_0(A,B)),k3_xboole_0(k5_classes1(A),k5_classes1(B)))) # label(t68_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4219 $T # label(dt_k4_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4220 (all A all B (v3_ordinal1(B) -> k3_classes1(A,k1_ordinal1(B)) = k2_xboole_0(k2_xboole_0(a_2_0_classes1(A,B),a_2_1_classes1(A,B)),k3_xboole_0(k1_zfmisc_1(k3_classes1(A,B)),k1_classes1(A))))) # label(t11_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4221 (all A r1_tarski(A,k5_classes1(A))) # label(t59_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4222 (all A all B all C (r2_hidden(C,k1_classes1(A)) & r2_hidden(B,k1_classes1(A)) -> r2_hidden(k1_tarski(B),k1_classes1(A)) & r2_hidden(k2_tarski(B,C),k1_classes1(A)))) # label(t30_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4223 (all A (v3_ordinal1(A) -> v1_ordinal1(k4_classes1(A)))) # label(t37_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4224 (all A (v3_ordinal1(A) -> k1_zfmisc_1(k4_classes1(A)) = k4_classes1(k1_ordinal1(A)))) # label(t34_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4225 (all A (v4_ordinal1(k6_classes1(k1_classes1(A))) & k1_xboole_0 != k6_classes1(k1_classes1(A)))) # label(t82_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4226 (all A all B all C (v3_ordinal1(C) -> (r2_hidden(A,a_2_2_classes1(B,C)) <-> (exists D ((exists E (r2_hidden(E,C) & r2_hidden(D,k3_classes1(B,E)) & v3_ordinal1(E))) & D = A & m1_subset_1(D,k1_classes1(B))))))) # label(fraenkel_a_2_2_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4227 (all A all B all C (r2_hidden(A,k1_classes1(B)) & r1_tarski(C,A) -> r2_hidden(C,k1_classes1(B)))) # label(t6_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4228 (all A all B all C (v3_ordinal1(C) -> ((exists D (A = D & (exists E (r1_tarski(D,E) & r2_hidden(E,k3_classes1(B,C)) & m1_subset_1(E,k1_classes1(B)))) & m1_subset_1(D,k1_classes1(B)))) <-> r2_hidden(A,a_2_0_classes1(B,C))))) # label(fraenkel_a_2_0_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4229 (all A (k3_classes1(A,k1_xboole_0) != k3_classes1(A,k4_ordinal2) & r2_hidden(k3_classes1(A,k1_xboole_0),k3_classes1(A,k4_ordinal2)))) # label(t26_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4230 (all A all B (v3_ordinal1(B) -> (r1_tarski(A,k4_classes1(B)) <-> r2_hidden(A,k4_classes1(k1_ordinal1(B)))))) # label(t36_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4231 (all A k1_ordinal1(k6_classes1(A)) = k6_classes1(k1_zfmisc_1(A))) # label(t71_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4232 $T # label(t3_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4233 (all A all B all C (v3_ordinal1(C) -> (r2_hidden(A,a_2_1_classes1(B,C)) <-> (exists D (r2_hidden(D,k3_classes1(B,C)) & A = k1_zfmisc_1(D) & m1_subset_1(D,k1_classes1(B))))))) # label(fraenkel_a_2_1_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4234 $T # label(t57_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4235 (all A all B (v3_ordinal1(B) -> (r1_ordinal1(k6_classes1(A),B) <-> r1_tarski(A,k4_classes1(B))))) # label(t73_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4236 (all A (v3_ordinal1(A) -> k6_classes1(k4_classes1(A)) = A)) # label(t72_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4237 (all A all B -(r2_hidden(A,k1_classes1(B)) & r2_tarski(A,k1_classes1(B)))) # label(t29_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4238 (all A (v3_ordinal1(A) -> A = k5_classes1(A))) # label(t64_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4239 (all A all B (v3_ordinal1(B) -> k2_classes1(A,B) = k3_classes1(A,B))) # label(redefinition_k3_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4240 $T # label(dt_k2_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4241 $T # label(dt_k5_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4242 (all A all B (B = k1_classes1(A) <-> (all C (r1_classes1(A,C) -> r1_tarski(B,C))) & r1_classes1(A,B))) # label(d4_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4243 (all A all B (v3_ordinal1(B) -> r1_tarski(k3_classes1(A,B),k3_classes1(A,k1_ordinal1(B))))) # label(t18_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4244 (all A (v3_ordinal1(A) -> (all B (r2_hidden(B,k4_classes1(A)) -> r2_hidden(k1_card_1(B),k1_card_1(k4_classes1(A))) & -r2_tarski(B,k4_classes1(A)))))) # label(t45_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4245 (all A all B (v3_ordinal1(B) -> (r2_hidden(k6_classes1(A),B) <-> r2_hidden(A,k4_classes1(B))))) # label(t74_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4246 (all A exists B (k3_classes1(A,B) = k3_classes1(A,k1_ordinal1(B)) & v3_ordinal1(B))) # label(t20_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4247 (all A all B all C all D (v3_ordinal1(D) -> (r1_tarski(A,B) & r2_hidden(B,k3_classes1(C,D)) -> r2_hidden(A,k3_classes1(C,k1_ordinal1(D)))))) # label(t14_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4248 (all A all B (v3_ordinal1(B) -> m1_subset_1(k3_classes1(A,B),k1_zfmisc_1(k1_classes1(A))))) # label(dt_k3_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4249 (all A all B (r1_tarski(A,B) & v1_ordinal1(B) -> r1_tarski(k5_classes1(A),B))) # label(t60_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4250 (all A all B (v3_ordinal1(B) -> (r2_hidden(k1_zfmisc_1(A),k4_classes1(k1_ordinal1(B))) <-> r2_hidden(A,k4_classes1(B))))) # label(t48_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4251 (all A all B all C all D (v3_ordinal1(D) -> (r2_hidden(A,k3_classes1(B,D)) & v4_ordinal1(D) -> D = k1_xboole_0 | -r1_tarski(C,A) & C != k1_zfmisc_1(A) | r2_hidden(C,k3_classes1(B,D))))) # label(t17_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4252 (all A all B (v3_ordinal1(B) -> (r1_tarski(k1_zfmisc_1(A),k4_classes1(k1_ordinal1(B))) <-> r1_tarski(A,k4_classes1(B))))) # label(t46_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4253 (all A all B all C (v3_ordinal1(C) -> (r2_hidden(A,k3_classes1(B,C)) -> r2_hidden(k1_zfmisc_1(A),k3_classes1(B,k1_ordinal1(C)))))) # label(t15_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4254 (all A (v3_ordinal1(A) -> (all B (k4_classes1(A) = B <-> (exists C (k1_ordinal2(C) = B & k1_relat_1(C) = k1_ordinal1(A) & k1_funct_1(C,k1_xboole_0) = k1_xboole_0 & (all D (v3_ordinal1(D) -> (r2_hidden(D,k1_ordinal1(A)) & v4_ordinal1(D) -> k1_funct_1(C,D) = k3_tarski(k2_relat_1(k2_ordinal1(C,D))) | k1_xboole_0 = D))) & (all D (v3_ordinal1(D) -> (r2_hidden(k1_ordinal1(D),k1_ordinal1(A)) -> k1_zfmisc_1(k1_funct_1(C,D)) = k1_funct_1(C,k1_ordinal1(D))))) & v5_ordinal1(C) & v1_funct_1(C) & v1_relat_1(C))))))) # label(d6_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4255 (all A (v3_ordinal1(A) -> r1_tarski(k4_classes1(A),k4_classes1(k1_ordinal1(A))))) # label(t39_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4256 (all A all B k5_classes1(k2_xboole_0(A,B)) = k2_xboole_0(k5_classes1(A),k5_classes1(B))) # label(t67_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4257 (all A all B (v3_ordinal1(B) -> (r2_hidden(A,k4_classes1(B)) -> r1_tarski(A,k4_classes1(B))))) # label(t38_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4258 (all A (v3_ordinal1(A) -> r1_tarski(k3_tarski(k4_classes1(A)),k4_classes1(A)))) # label(t40_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4259 (all A all B (r1_tarski(A,B) -> r1_tarski(k5_classes1(A),k5_classes1(B)))) # label(t65_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4260 (all A (v1_classes1(A) & (all B -(r1_tarski(B,A) & -r2_tarski(B,A) & -r2_hidden(B,A))) & (all B (r2_hidden(B,A) -> r2_hidden(k1_zfmisc_1(B),A))) <-> v2_classes1(A))) # label(d2_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4261 (all A all B all C (v3_ordinal1(C) -> (r2_hidden(k4_tarski(A,B),k4_classes1(k1_ordinal1(k1_ordinal1(C)))) <-> r2_hidden(B,k4_classes1(C)) & r2_hidden(A,k4_classes1(C))))) # label(t51_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4262 (all A v1_ordinal1(k5_classes1(A))) # label(t58_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4263 (all A v3_ordinal1(k6_classes1(A))) # label(dt_k6_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4264 (all A all B (v3_ordinal1(B) -> ((all C (v3_ordinal1(C) -> -(r2_hidden(C,B) & (all D -(r1_ordinal1(C,k6_classes1(D)) & r2_hidden(D,A)))))) <-> r1_ordinal1(B,k6_classes1(A))))) # label(t78_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4265 (all A all B (r2_hidden(A,B) -> r2_hidden(k6_classes1(A),k6_classes1(B)))) # label(t76_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4266 (all A all B (v1_ordinal1(B) & v1_ordinal1(A) -> v1_ordinal1(k2_xboole_0(A,B)))) # label(t55_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4267 (all A (v3_ordinal1(A) -> r1_tarski(A,k4_classes1(A)))) # label(t44_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4268 $T # label(t70_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4269 (all A all B (r1_tarski(A,B) -> r1_ordinal1(k6_classes1(A),k6_classes1(B)))) # label(t75_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4270 (all A all B (v3_ordinal1(B) -> (all C (C = k2_classes1(A,B) <-> (exists D (v1_relat_1(D) & v1_funct_1(D) & v5_ordinal1(D) & (all E (v3_ordinal1(E) -> (v4_ordinal1(E) & r2_hidden(E,k1_ordinal1(B)) -> E = k1_xboole_0 | k1_funct_1(D,E) = k3_xboole_0(k3_tarski(k2_relat_1(k2_ordinal1(D,E))),k1_classes1(A))))) & (all E (v3_ordinal1(E) -> (r2_hidden(k1_ordinal1(E),k1_ordinal1(B)) -> k1_funct_1(D,k1_ordinal1(E)) = k2_xboole_0(k2_xboole_0(a_3_0_classes1(A,D,E),a_3_1_classes1(A,D,E)),k3_xboole_0(k1_zfmisc_1(k1_funct_1(D,E)),k1_classes1(A)))))) & k1_funct_1(D,k1_xboole_0) = k1_tarski(A) & k1_ordinal1(B) = k1_relat_1(D) & C = k1_ordinal2(D))))))) # label(d5_classes1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4271 (all A (v1_relat_1(A) & v1_funct_1(A) -> r1_tarski(k1_card_1(k3_card_3(A)),k6_card_3(k1_card_3(A))))) # label(t54_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4272 (all A (v1_card_1(A) -> (all B ((all C (r2_hidden(C,B) -> r2_hidden(k1_card_1(C),A))) & v6_ordinal1(B) -> r1_tarski(k1_card_1(k3_tarski(B)),A))))) # label(t62_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4273 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> k7_card_3(k2_funcop_1(A,B)) = k3_card_2(B,A))))) # label(t53_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4274 (all A all B all C k2_xboole_0(k5_card_3(C,A),k5_card_3(C,B)) = k5_card_3(C,k2_xboole_0(A,B))) # label(t27_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4275 (all A (v1_funct_1(A) & v1_card_3(A) & v1_relat_1(A) -> (all B (v1_card_3(B) & v1_funct_1(B) & v1_relat_1(B) -> (k1_relat_1(B) = k1_relat_1(A) & (all C (r2_hidden(C,k1_relat_1(A)) -> r1_tarski(k1_funct_1(A,C),k1_funct_1(B,C)))) -> r1_tarski(k6_card_3(A),k6_card_3(B))))))) # label(t43_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4276 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> k5_card_3(A,k1_tarski(B)) = k1_tarski(k1_funct_1(B,A)))) # label(t25_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4277 (exists A (v1_card_3(A) & v1_funct_1(A) & v1_relat_1(A))) # label(rc1_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4278 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r2_hidden(B,k1_relat_1(C)) & r2_hidden(A,k1_relat_1(C)) -> B = A | r1_xboole_0(k1_funct_1(k2_card_3(C),A),k1_funct_1(k2_card_3(C),B))))) # label(t13_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4279 $T # label(t2_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4280 f1_s3_card_3 != k1_xboole_0 & (all A all B (p1_s3_card_3(A,B) | p1_s3_card_3(B,A))) & (all A all B all C (p1_s3_card_3(A,B) & p1_s3_card_3(B,C) -> p1_s3_card_3(A,C))) -> (exists A (r2_hidden(A,f1_s3_card_3) & (all B (r2_hidden(B,f1_s3_card_3) -> p1_s3_card_3(A,B))))) # label(s3_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4281 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (r2_hidden(A,k1_relat_1(B)) -> k1_xboole_0 = k4_card_3(B) | k5_card_3(A,k4_card_3(B)) = k1_funct_1(B,A)))) # label(t22_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4282 (all A all B k3_card_3(k2_funcop_1(k1_tarski(A),B)) = B) # label(t17_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.46	4283 (all A all B k2_funcop_1(A,k1_card_1(B)) = k1_card_3(k2_funcop_1(A,B))) # label(t10_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4284 (all A (v1_card_1(A) -> np__1 = k7_card_3(k2_funcop_1(k1_xboole_0,A)))) # label(t49_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4285 $T # label(t5_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4286 (all A (v3_ordinal1(A) -> (all B (v1_card_1(B) -> (r2_hidden(k1_card_1(A),B) -> r2_hidden(A,B)))))) # label(t60_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4287 $T # label(t41_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4288 (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(B)) -> r2_hidden(k1_funct_1(A,C),k1_funct_1(B,C)))) & k1_relat_1(A) = k1_relat_1(B) <-> r2_hidden(A,k4_card_3(B))))))) # label(t18_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4289 (all A (v1_relat_1(A) & v1_funct_1(A) -> k3_card_3(A) = k3_tarski(k2_relat_1(A)))) # label(d4_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4290 $T # label(t21_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4291 (all A (v1_funct_1(A) & v2_relat_1(A) & v1_relat_1(A) -> -v1_xboole_0(k4_card_3(A)) & v1_fraenkel(k4_card_3(A)))) # label(fc5_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4292 (all A (v1_relat_1(A) & v1_card_3(A) & v1_funct_1(A) -> k7_card_3(A) = k1_card_1(k4_card_3(A)))) # label(d8_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4293 (all A all B r1_tarski(k1_card_1(k5_card_3(B,A)),k1_card_1(A))) # label(t31_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4294 (all A (v1_card_1(A) -> (all B A = k7_card_3(k2_funcop_1(k1_tarski(B),A))))) # label(t51_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4295 $T # label(t7_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4296 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_card_3(A) -> v1_card_1(k7_card_3(A)))) # label(dt_k7_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4297 (all A (v1_funct_1(A) & v1_card_3(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_card_3(B) -> (r1_tarski(A,B) -> r1_tarski(k7_card_3(A),k7_card_3(B)) | r2_hidden(np__0,k2_relat_1(B))))))) # label(t47_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4298 (all A all B (v1_card_1(B) -> v1_funct_1(k2_funcop_1(A,B)) & v1_card_3(k2_funcop_1(A,B)) & v1_ordinal2(k2_funcop_1(A,B)) & v1_relat_1(k2_funcop_1(A,B)))) # label(fc2_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4299 (all A all B all C (v1_funct_1(C) & v1_funct_2(C,A,B) & m1_relset_1(C,A,B) & v1_setfam_1(B) -> -v1_xboole_0(k4_card_3(C)) & v1_fraenkel(k4_card_3(C)))) # label(fc4_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4300 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> k2_card_2(A,B) = k6_card_3(k2_funcop_1(A,B)))))) # label(t52_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4301 (all A all B k4_card_3(k2_funcop_1(A,B)) = k1_funct_2(A,B)) # label(t20_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4302 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (r1_tarski(A,B) -> r1_tarski(k3_card_3(A),k3_card_3(B))))))) # label(t35_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4303 $T # label(t6_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4304 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_card_3(A) -> (all B (r2_hidden(B,k1_relat_1(A)) -> k1_funct_1(A,B) = k1_card_1(k1_funct_1(k2_card_3(A),B)))))) # label(t40_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4305 (all A (v1_relat_1(A) & v1_funct_1(A) -> v1_relat_1(k2_card_3(A)) & v1_funct_1(k2_card_3(A)))) # label(dt_k2_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4306 (all A (v1_funct_1(A) & v1_card_3(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_card_3(B) -> ((all C (r2_hidden(C,k1_relat_1(A)) -> r1_tarski(k1_funct_1(A,C),k1_funct_1(B,C)))) & k1_relat_1(A) = k1_relat_1(B) -> r1_tarski(k7_card_3(A),k7_card_3(B))))))) # label(t45_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4307 (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,k1_relat_1(A)) -> r1_tarski(k1_funct_1(A,C),k1_funct_1(B,C)))) & k1_relat_1(B) = k1_relat_1(A) -> r1_tarski(k4_card_3(A),k4_card_3(B))))))) # label(t38_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4308 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r2_hidden(k1_card_1(A),k1_card_1(B)) -> r2_hidden(A,B)))))) # label(t59_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4309 (all A all B all C (k5_card_3(A,B) = C <-> (all D (r2_hidden(D,C) <-> (exists E (v1_relat_1(E) & v1_funct_1(E) & D = k1_funct_1(E,A) & r2_hidden(E,B))))))) # label(d6_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4310 (all A all B k2_card_3(k2_funcop_1(k1_tarski(A),B)) = k2_funcop_1(k1_tarski(A),k2_zfmisc_1(B,k1_tarski(A)))) # label(t12_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4311 $T # label(dt_k5_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4312 $T # label(t23_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4313 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (r2_hidden(k1_mcart_1(A),k1_funct_1(B,k2_mcart_1(A))) & A = k4_tarski(k1_mcart_1(A),k2_mcart_1(A)) & r2_hidden(k2_mcart_1(A),k1_relat_1(B)) <-> r2_hidden(A,k3_card_3(k2_card_3(B)))))) # label(t33_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4314 (all A all B all C r1_tarski(k4_xboole_0(k5_card_3(B,A),k5_card_3(B,C)),k5_card_3(B,k4_xboole_0(A,C)))) # label(t29_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4315 (all A all B k2_zfmisc_1(B,A) = k3_card_3(k2_card_3(k2_funcop_1(A,B)))) # label(t36_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4316 (exists A (f1_s4_card_3 = k1_relat_1(A) & (all B (r2_hidden(B,f1_s4_card_3) -> (all C (p1_s4_card_3(B,C) & r2_hidden(C,f2_s4_card_3(B)) <-> r2_hidden(C,k1_funct_1(A,B)))))) & v1_funct_1(A) & v1_relat_1(A))) # label(s4_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4317 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (k4_card_3(A) = B <-> (all C (r2_hidden(C,B) <-> (exists D (k1_relat_1(A) = k1_relat_1(D) & (all E (r2_hidden(E,k1_relat_1(A)) -> r2_hidden(k1_funct_1(D,E),k1_funct_1(A,E)))) & C = D & v1_funct_1(D) & v1_relat_1(D))))))))) # label(d5_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4318 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_card_3(A) -> v1_card_1(k6_card_3(A)))) # label(dt_k6_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4319 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_card_3(A) -> (all B (v1_card_3(B) & v1_funct_1(B) & v1_relat_1(B) -> (k1_relat_1(A) = k1_relat_1(B) & (all C (r2_hidden(C,k1_relat_1(A)) -> r2_hidden(k1_funct_1(A,C),k1_funct_1(B,C)))) -> r2_hidden(k6_card_3(A),k7_card_3(B))))))) # label(t56_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4320 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_card_3(A) -> (r2_hidden(k1_xboole_0,k2_relat_1(A)) <-> k7_card_3(A) = np__0))) # label(t44_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4321 (all A -(v6_ordinal1(A) & (all B -(r1_tarski(B,A) & (all C -((all D -(r2_hidden(D,C) & (all E (r2_hidden(E,C) -> r1_tarski(D,E))))) & C != k1_xboole_0 & r1_tarski(C,B))) & k3_tarski(B) = k3_tarski(A))))) # label(t61_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4322 (all A all B (A != k1_xboole_0 -> B = k3_card_3(k2_funcop_1(A,B)))) # label(t16_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4323 (all A all B (v1_card_3(A) & v1_funct_1(A) & v1_relat_1(A) -> v1_relat_1(k7_relat_1(A,B)) & v1_funct_1(k7_relat_1(A,B)) & v1_card_3(k7_relat_1(A,B)))) # label(fc1_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4324 (all A (v1_relat_1(A) & v1_funct_1(A) -> v1_fraenkel(k4_card_3(A)))) # label(fc3_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4325 (all A (v1_funct_1(A) & v1_relat_1(A) -> (r2_hidden(k1_xboole_0,k2_relat_1(A)) <-> k4_card_3(A) = k1_xboole_0))) # label(t37_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4326 $T # label(t1_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4327 (all A (v1_finset_1(A) -> r2_hidden(k1_card_1(A),k1_card_1(k5_ordinal2)))) # label(t58_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4328 (all A (v1_relat_1(A) & v1_funct_1(A) -> v1_card_3(k1_card_3(A)) & v1_funct_1(k1_card_3(A)) & v1_relat_1(k1_card_3(A)))) # label(dt_k1_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4329 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> -(r2_hidden(A,k3_card_3(k2_card_3(B))) & (all C all D k4_tarski(C,D) != A)))) # label(t32_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4330 f1_s2_card_3 != k1_xboole_0 & (all A all B all C (p1_s2_card_3(A,B) & p1_s2_card_3(B,C) -> p1_s2_card_3(A,C))) & (all A all B (p1_s2_card_3(B,A) & p1_s2_card_3(A,B) -> B = A)) -> (exists A (r2_hidden(A,f1_s2_card_3) & (all B -(r2_hidden(B,f1_s2_card_3) & A != B & p1_s2_card_3(B,A))))) # label(s2_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4331 (all A all B all C r1_tarski(k5_xboole_0(k5_card_3(B,A),k5_card_3(B,C)),k5_card_3(B,k5_xboole_0(A,C)))) # label(t30_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4332 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v1_card_3(A) <-> (all B (r2_hidden(B,k1_relat_1(A)) -> v1_card_1(k1_funct_1(A,B))))))) # label(d1_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4333 $T # label(t4_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4334 (all A (v1_card_3(A) & v1_funct_1(A) & v1_relat_1(A) -> k6_card_3(A) = k1_card_1(k3_card_3(k2_card_3(A))))) # label(d7_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4335 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_card_3(A) -> A = k1_card_3(A))) # label(t8_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4336 (exists A (v1_relat_1(A) & (all B (r2_hidden(B,f1_s1_card_3) -> f2_s1_card_3(B) = k1_funct_1(A,B))) & f1_s1_card_3 = k1_relat_1(A) & v1_card_3(A) & v1_funct_1(A))) # label(s1_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4337 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_card_3(A) -> (all B (r2_hidden(B,k1_relat_1(A)) -> k1_card_1(k1_funct_1(A,B)) = k1_funct_1(A,B))))) # label(t39_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4338 $T # label(t42_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4339 $T # label(dt_k4_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4340 (all A (v1_card_1(A) -> np__0 = k6_card_3(k2_funcop_1(k1_xboole_0,A)))) # label(t48_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4341 (all A (v1_card_1(A) -> (all B A = k6_card_3(k2_funcop_1(k1_tarski(B),A))))) # label(t50_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4342 (all A k5_card_3(A,k1_xboole_0) = k1_xboole_0) # label(t24_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4343 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (r1_tarski(A,B) -> r1_tarski(k2_card_3(A),k2_card_3(B))))))) # label(t34_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4344 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (k2_card_3(A) = B <-> (all C (r2_hidden(C,k1_relat_1(A)) -> k2_zfmisc_1(k1_funct_1(A,C),k1_tarski(C)) = k1_funct_1(B,C))) & k1_relat_1(B) = k1_relat_1(A)))))) # label(d3_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4345 (all A all B all C r1_tarski(k5_card_3(C,k3_xboole_0(A,B)),k3_xboole_0(k5_card_3(C,A),k5_card_3(C,B)))) # label(t28_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4346 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> v1_finset_1(k4_classes1(A)))) # label(t57_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4347 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> k5_card_3(A,k2_tarski(B,C)) = k2_tarski(k1_funct_1(B,A),k1_funct_1(C,A)))))) # label(t26_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4348 (all A (v1_funct_1(A) & v1_card_3(A) & v1_relat_1(A) -> (all B (v1_card_3(B) & v1_funct_1(B) & v1_relat_1(B) -> (r1_tarski(A,B) -> r1_tarski(k6_card_3(A),k6_card_3(B))))))) # label(t46_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4349 (all A (v1_relat_1(A) & v1_card_3(A) & v1_funct_1(A) -> r1_tarski(k1_card_1(k3_card_3(A)),k6_card_3(A)))) # label(t55_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4350 (all A all B r1_tarski(k3_card_3(k2_funcop_1(A,B)),B)) # label(t15_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4351 $T # label(dt_k3_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4352 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_card_3(B) & v1_funct_1(B) & v1_relat_1(B) -> (k1_card_3(A) = B <-> (all C (r2_hidden(C,k1_relat_1(A)) -> k1_funct_1(B,C) = k1_card_1(k1_funct_1(A,C)))) & k1_relat_1(B) = k1_relat_1(A)))))) # label(d2_card_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4353 (all A v1_ordinal1(k5_classes1(A))) # label(fc5_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4354 (all A (v1_classes2(A) & -v1_xboole_0(A) -> k4_classes1(k2_ordinal2(A)) = A)) # label(t54_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4355 (all A all B (v1_classes1(A) & r2_hidden(B,A) -> -r2_wellord2(B,A) & r2_hidden(k1_card_1(B),k1_card_1(A)))) # label(t1_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4356 (all A all B (m1_subset_1(B,A) & v1_classes2(A) & -v1_xboole_0(A) -> m1_subset_1(k4_classes2(A,B),A))) # label(dt_k4_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4357 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,A) & m1_subset_1(B,A) & v1_classes2(A) -> k10_classes2(A,C,B) = k10_classes2(A,B,C))) # label(commutativity_k10_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4358 (all A all B all C (m1_subset_1(B,A) & m1_subset_1(C,A) & v1_classes2(A) & -v1_xboole_0(A) -> k2_tarski(B,C) = k5_classes2(A,B,C))) # label(redefinition_k5_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4359 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,A) & v1_classes2(A) -> m1_subset_1(k1_classes2(A,B),A))) # label(dt_k1_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4360 (all A all B all C (r2_hidden(B,A) & r2_hidden(C,A) & v2_classes1(A) -> r2_hidden(k4_tarski(B,C),A))) # label(t4_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4361 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (v1_classes2(B) & -v1_xboole_0(B) -> -(-r2_hidden(A,B) & -r2_hidden(B,A) & A != B))))) # label(t56_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4362 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & v1_classes2(A) -> B = k8_classes2(A,B,B))) # label(idempotence_k8_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4363 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (-v1_xboole_0(B) & v1_classes2(B) -> v1_classes2(k3_xboole_0(A,B)) & -v1_xboole_0(k3_xboole_0(A,B)) & v1_classes2(k2_xboole_0(A,B)) & -v1_xboole_0(k2_xboole_0(A,B)))))) # label(t61_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4364 (all A (v2_classes1(A) -> v2_classes1(k4_classes1(k1_card_1(A))))) # label(t39_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4365 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,A) & m1_subset_1(B,A) & v1_classes2(A) -> k5_classes2(A,C,B) = k5_classes2(A,B,C))) # label(commutativity_k5_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4366 (all A (k1_card_1(k1_classes1(A)) != np__0 & v4_ordinal1(k1_card_1(k1_classes1(A))) & k1_card_1(k1_classes1(A)) != k1_xboole_0)) # label(t22_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4367 (all A (v1_classes2(A) & -v1_xboole_0(A) -> v2_ordinal1(k2_ordinal2(A)) & v3_ordinal1(k2_ordinal2(A)) & v1_ordinal1(k2_ordinal2(A)))) # label(fc2_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4368 (all A (v3_ordinal1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) -> (k1_relat_1(B) = A & (all C (v3_ordinal1(C) -> (r2_hidden(C,A) -> k16_classes2(C) = k1_funct_1(B,C)))) & v4_ordinal1(A) -> k16_classes2(A) = k15_classes2(k3_card_3(B)) | A = k1_xboole_0))))) # label(t78_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4369 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r2_hidden(A,B) <-> r2_hidden(k16_classes2(A),k16_classes2(B))))))) # label(t80_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4370 (all A all B all C (m1_subset_1(C,A) & m1_subset_1(B,A) & v1_classes2(A) & -v1_xboole_0(A) -> k7_classes2(A,C,B) = k7_classes2(A,B,C))) # label(commutativity_k7_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4371 (all A all B all C (v1_classes2(C) & -v1_xboole_0(C) -> (r2_hidden(B,C) & r2_hidden(A,C) -> r2_hidden(k2_xboole_0(A,B),C) & r2_hidden(k5_xboole_0(A,B),C) & r2_hidden(k4_xboole_0(A,B),C) & r2_hidden(k3_xboole_0(A,B),C)))) # label(t66_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4372 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & v1_classes2(B) -> (all C (-v1_xboole_0(C) & v1_classes2(C) -> (r2_hidden(A,B) & r2_hidden(B,C) -> r2_hidden(A,C)))))))) # label(t59_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4373 (exists A (v1_ordinal1(A) & -v1_xboole_0(A) & v2_classes1(A) & v1_classes2(A) & v1_classes1(A))) # label(rc1_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4374 $T # label(t73_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4375 (all A all B (v2_classes1(A) & r2_hidden(B,A) -> r1_tarski(k1_classes1(B),A))) # label(t5_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4376 (all A r1_tarski(k4_classes1(k1_card_1(k1_classes1(A))),k1_classes1(A))) # label(t29_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4377 (all A all B -(r1_tarski(B,k4_classes1(k1_card_1(A))) & -r2_wellord2(B,k4_classes1(k1_card_1(A))) & -r2_hidden(B,k4_classes1(k1_card_1(A))) & v2_classes1(A))) # label(t37_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4378 $T # label(t72_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4379 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (-v1_xboole_0(B) & v1_classes2(B) -> r3_xboole_0(A,B))))) # label(t58_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4380 $T # label(t74_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4381 (all A (v1_ordinal1(A) -> v1_classes2(k1_classes1(A)))) # label(t51_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4382 (all A (v1_ordinal1(A) -> v1_classes1(k1_classes1(A)) & v1_classes2(k1_classes1(A)) & v2_classes1(k1_classes1(A)) & -v1_xboole_0(k1_classes1(A)) & v1_ordinal1(k1_classes1(A)))) # label(fc6_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4383 (all A all B (v1_ordinal1(A) & r2_hidden(B,A) & v2_classes1(A) -> r2_hidden(k6_classes1(B),A))) # label(t30_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4384 (all A all B all C (-v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(C,A) & m1_subset_1(B,A) -> m1_subset_1(k12_classes2(A,B,C),A))) # label(dt_k12_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4385 (all A (v3_ordinal1(A) -> (all B ((exists C (v1_relat_1(C) & k1_ordinal1(A) = k1_relat_1(C) & (all D (v3_ordinal1(D) -> (r2_hidden(k1_ordinal1(D),k1_ordinal1(A)) -> k1_classes1(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)) -> k15_classes2(k3_card_3(k2_ordinal1(C,D))) = k1_funct_1(C,D) | k1_xboole_0 = D))) & k13_classes2 = k1_funct_1(C,k1_xboole_0) & k1_ordinal2(C) = B & v5_ordinal1(C) & v1_funct_1(C))) <-> B = k16_classes2(A))))) # label(d5_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4386 $T # label(dt_k16_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4387 (all A (v1_classes2(A) & -v1_xboole_0(A) -> v1_classes2(k1_classes1(A)) & -v1_xboole_0(k1_classes1(A)))) # label(t52_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4388 (all A all B all C (-v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(B,A) & m1_subset_1(C,A) -> m1_subset_1(k7_classes2(A,B,C),A))) # label(dt_k7_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4389 (all A all B (v2_classes1(A) & r2_hidden(B,k1_card_1(A)) -> r2_hidden(B,A))) # label(t14_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4390 $T # label(t68_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4391 (all A (v1_classes2(A) & -v1_xboole_0(A) -> k1_xboole_0 != k2_ordinal2(A) & v4_ordinal1(k2_ordinal2(A)))) # label(t55_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4392 (all A all B (v2_classes1(A) & r2_hidden(B,A) -> r2_hidden(k1_card_1(B),A))) # label(t12_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4393 (all A (v3_ordinal1(A) -> (all B (r2_hidden(A,k1_classes1(B)) -> r1_tarski(A,k1_classes1(B)) & r2_hidden(k1_ordinal1(A),k1_classes1(B)))))) # label(t7_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4394 (all A all B (v1_ordinal1(A) & r2_hidden(A,k1_classes1(B)) -> r2_hidden(A,k4_classes1(k1_card_1(k1_classes1(B)))))) # label(t44_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4395 (all A (v1_ordinal1(A) & v2_classes1(A) -> v1_classes2(A))) # label(cc3_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4396 (all A all B all C (v1_classes2(A) & m1_subset_1(C,A) & m1_subset_1(B,A) & -v1_xboole_0(A) -> k9_classes2(A,B,C) = k4_xboole_0(B,C))) # label(redefinition_k9_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4397 (all A (v3_ordinal1(A) -> (all B (r2_hidden(A,k2_ordinal2(B)) & v2_classes1(B) -> r1_tarski(k1_card_1(k4_classes1(A)),k1_card_1(B)))))) # label(t33_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4398 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r1_tarski(k16_classes2(A),k16_classes2(B)) <-> r1_ordinal1(A,B)))))) # label(t82_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4399 (all A all B all C (-v1_xboole_0(C) & v1_classes2(C) -> (r2_hidden(B,C) & r2_hidden(A,C) -> r2_hidden(k2_zfmisc_1(A,B),C) & r2_hidden(k1_funct_2(A,B),C)))) # label(t67_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4400 $T # label(t49_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4401 (all A all B (v1_classes2(A) & m1_subset_1(B,A) & -v1_xboole_0(A) -> m1_subset_1(k2_classes2(A,B),A) & -v1_xboole_0(k2_classes2(A,B)))) # label(dt_k2_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4402 (all A all B (v1_classes1(A) & v1_ordinal1(B) & r2_hidden(B,A) -> r1_tarski(B,A))) # label(t8_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4403 (all A (v2_classes1(A) -> k1_card_1(A) = k2_ordinal2(A))) # label(t10_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4404 (all A (-v1_xboole_0(k15_classes2(A)) & v1_classes2(k15_classes2(A)))) # label(dt_k15_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4405 (all A (v3_ordinal1(A) -> (all B -(v1_ordinal1(B) & (all C -(A = k6_classes1(C) & r2_hidden(C,B))) & r2_hidden(A,k6_classes1(B)))))) # label(t41_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4406 (all A (-v1_xboole_0(k1_classes1(A)) & v2_classes1(k1_classes1(A)) & v1_classes1(k1_classes1(A)))) # label(fc1_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4407 (all A (v2_classes1(A) -> v1_classes1(A))) # label(cc1_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4408 (all A all B all C (-v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(C,A) & m1_subset_1(B,A) -> m1_subset_1(k11_classes2(A,B,C),A))) # label(dt_k11_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4409 (all A all B (v1_classes2(B) & -v1_xboole_0(B) -> (B = k15_classes2(A) <-> r1_tarski(A,B) & (all C (-v1_xboole_0(C) & v1_classes2(C) -> (r1_tarski(A,C) -> r1_tarski(B,C))))))) # label(d4_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4410 (all A (v3_ordinal1(A) -> k16_classes2(k1_ordinal1(A)) = k1_classes1(k16_classes2(A)))) # label(t76_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4411 (all A (v1_ordinal1(A) -> k4_classes1(k1_card_1(k1_classes1(A))) = k1_classes1(A))) # label(t46_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4412 (all A (v1_card_1(A) -> (all B (r2_hidden(A,k1_classes1(B)) -> r1_tarski(A,k1_classes1(B)))))) # label(t19_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4413 (all A (v2_classes1(A) & v1_ordinal1(A) -> A = k4_classes1(k1_card_1(A)))) # label(t32_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4414 (all A all B (r2_hidden(A,k1_card_1(k1_classes1(B))) -> r2_hidden(A,k1_classes1(B)))) # label(t15_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4415 $T # label(t60_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4416 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,A) & m1_subset_1(B,A) & v1_classes2(A) -> m1_subset_1(k8_classes2(A,B,C),A))) # label(dt_k8_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4417 (all A all B (v1_ordinal1(A) & r2_hidden(A,k1_classes1(B)) -> r1_tarski(A,k1_classes1(B)))) # label(t9_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4418 (all A all B all C (v1_classes2(A) & m1_subset_1(C,A) & m1_subset_1(B,A) & -v1_xboole_0(A) -> m1_subset_1(k5_classes2(A,B,C),A))) # label(dt_k5_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4419 (all A all B all C (m1_subset_1(B,A) & m1_subset_1(C,A) & v1_classes2(A) & -v1_xboole_0(A) -> k8_classes2(A,B,C) = k8_classes2(A,C,B))) # label(commutativity_k8_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4420 (all A all B all C (v2_classes1(A) & r2_hidden(C,A) & r2_hidden(B,A) -> r2_hidden(k1_tarski(B),A) & r2_hidden(k2_tarski(B,C),A))) # label(t3_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4421 (all A (v3_ordinal1(A) -> (all B (r2_hidden(A,B) & v2_classes1(B) -> r2_hidden(k1_ordinal1(A),B) & r1_tarski(A,B))))) # label(t6_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4422 (all A k2_ordinal2(k1_classes1(A)) = k1_card_1(k1_classes1(A))) # label(t11_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4423 (all A all B all C (-v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(B,A) & m1_subset_1(C,A) -> k7_classes2(A,B,C) = k2_xboole_0(B,C))) # label(redefinition_k7_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4424 (all A (v1_ordinal1(A) -> r1_classes1(A,k4_classes1(k1_card_1(k1_classes1(A)))))) # label(t45_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4425 (all A (v1_ordinal1(A) -> r1_tarski(k1_card_1(k6_classes1(A)),k1_card_1(A)))) # label(t42_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4426 (all A all B all C (v1_classes2(C) & -v1_xboole_0(C) -> (r2_hidden(B,C) & r2_hidden(A,C) -> r2_hidden(k2_tarski(A,B),C) & r2_hidden(k4_tarski(A,B),C)))) # label(t64_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4427 (all A all B (-v1_xboole_0(B) & v1_classes2(B) -> (r2_hidden(A,B) -> r2_hidden(k3_tarski(A),B) & r2_hidden(k1_setfam_1(A),B) & r2_hidden(k1_zfmisc_1(A),B)))) # label(t65_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4428 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (k16_classes2(B) = k16_classes2(A) -> A = B))))) # label(t81_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4429 (all A (-v1_xboole_0(A) & v1_classes2(A) -> r2_hidden(k1_xboole_0,A))) # label(t62_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4430 (all A (v1_card_1(A) -> (all B (r2_hidden(A,B) & v2_classes1(B) -> r1_tarski(A,B))))) # label(t18_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4431 (all A (v1_classes2(A) & -v1_xboole_0(A) -> v3_ordinal1(k2_ordinal2(A)))) # label(t50_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4432 (all A (v3_ordinal1(A) -> (all B (r2_hidden(A,k2_ordinal2(k1_classes1(B))) -> r1_tarski(k1_card_1(k4_classes1(A)),k1_card_1(k1_classes1(B))))))) # label(t34_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4433 (all A all B (v1_classes2(A) & m1_subset_1(B,A) & -v1_xboole_0(A) -> k1_classes2(A,B) = k1_tarski(B))) # label(redefinition_k1_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4434 (all A all B (v1_classes2(B) & -v1_xboole_0(B) -> (r2_hidden(A,B) -> r2_hidden(k1_tarski(A),B)))) # label(t63_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4435 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & v1_classes2(A) -> m1_subset_1(k9_classes2(A,B,C),A))) # label(dt_k9_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4436 (all A (-v1_xboole_0(A) & v1_classes2(A) -> r1_tarski(k13_classes2,A) & r1_tarski(k1_classes1(k1_xboole_0),A) & r1_tarski(k16_classes2(k1_xboole_0),A))) # label(t79_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4437 (all A (v3_ordinal1(A) -> (all B (r2_hidden(A,k2_ordinal2(B)) & v2_classes1(B) -> r2_hidden(k1_card_1(k4_classes1(A)),k1_card_1(B)) & r2_hidden(k4_classes1(A),B))))) # label(t26_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4438 (all A (v2_classes1(A) -> v4_ordinal1(k1_card_1(A)))) # label(t20_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4439 (all A (v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) -> (v4_ordinal1(k1_relat_1(A)) & (all B (v3_ordinal1(B) -> (r2_hidden(B,k1_relat_1(A)) -> k4_classes1(B) = k1_funct_1(A,B)))) -> k3_card_3(A) = k4_classes1(k1_relat_1(A))))) # label(t25_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4440 (all A all B all C (v1_classes2(A) & m1_subset_1(C,A) & m1_subset_1(B,A) & -v1_xboole_0(A) -> B = k7_classes2(A,B,B))) # label(idempotence_k7_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4441 (all A all B all C (m1_subset_1(B,A) & m1_subset_1(C,A) & v1_classes2(A) & -v1_xboole_0(A) -> m1_subset_1(k10_classes2(A,B,C),A))) # label(dt_k10_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4442 (all A (v1_ordinal1(A) & v2_classes1(A) <-> v1_classes2(A))) # label(d1_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4443 (all A (v3_ordinal1(A) -> -v1_xboole_0(k16_classes2(A)) & v1_classes1(k16_classes2(A)) & v2_classes1(k16_classes2(A)) & v1_classes2(k16_classes2(A)) & v1_ordinal1(k16_classes2(A)))) # label(fc8_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4444 $T # label(t2_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4445 (all A all B (-(-(v1_ordinal1(B) & r2_hidden(A,k1_classes1(B))) & -(r1_tarski(A,k1_classes1(B)) & r2_hidden(k1_card_1(A),k1_card_1(k1_classes1(B)))) & -(r1_tarski(A,k1_classes1(B)) & r2_hidden(A,k1_classes1(B)))) -> r1_tarski(k1_funct_2(A,k1_classes1(B)),k1_classes1(B)))) # label(t24_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4446 (all A all B all C (m1_subset_1(C,A) & m1_subset_1(B,A) & v1_classes2(A) & -v1_xboole_0(A) -> k2_zfmisc_1(B,C) = k11_classes2(A,B,C))) # label(redefinition_k11_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4447 (all A (v3_ordinal1(A) -> (all B (r2_hidden(A,k2_ordinal2(k1_classes1(B))) -> r2_hidden(k4_classes1(A),k1_classes1(B)) & r2_hidden(k1_card_1(k4_classes1(A)),k1_card_1(k1_classes1(B))))))) # label(t27_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4448 (all A all B (r2_hidden(A,k1_classes1(B)) -> r2_hidden(k1_card_1(A),k1_classes1(B)))) # label(t13_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4449 (all A (-v1_xboole_0(A) & v1_classes2(A) -> -v1_xboole_0(k1_classes1(A)) & v1_classes1(k1_classes1(A)) & v2_classes1(k1_classes1(A)) & v1_classes2(k1_classes1(A)) & v1_ordinal1(k1_classes1(A)))) # label(fc3_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4450 (all A all B (m1_subset_1(B,A) & v1_classes2(A) & -v1_xboole_0(A) -> k3_classes2(A,B) = k3_tarski(B))) # label(redefinition_k3_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4451 (all A (v1_card_1(A) -> (all B (r2_hidden(A,k1_card_1(B)) & v2_classes1(B) -> r2_hidden(A,B))))) # label(t16_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4452 (all A (v2_classes1(A) & v1_ordinal1(A) -> r1_tarski(A,k4_classes1(k1_card_1(A))))) # label(t31_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4453 (all A (v1_card_1(A) -> (all B (r2_hidden(A,k1_card_1(k1_classes1(B))) -> r2_hidden(A,k1_classes1(B)))))) # label(t17_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4454 (all A (v3_ordinal1(A) -> v1_classes2(k1_classes1(A)))) # label(t53_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4455 (all A (v1_classes2(A) -> v1_ordinal1(A) & v1_classes1(A) & v2_classes1(A))) # label(cc2_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4456 (all A all B all C (m1_subset_1(B,A) & m1_subset_1(C,A) & v1_classes2(A) & -v1_xboole_0(A) -> k1_funct_2(B,C) = k12_classes2(A,B,C))) # label(redefinition_k12_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4457 (all A all B (m1_subset_1(B,A) & v1_classes2(A) & -v1_xboole_0(A) -> k1_zfmisc_1(B) = k2_classes2(A,B))) # label(redefinition_k2_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4458 (all A all B (v2_classes1(A) -> r1_tarski(k1_funct_2(B,A),A) | -(r2_hidden(B,A) & v1_ordinal1(A)) & -(r1_tarski(B,A) & r2_hidden(B,A)) & -(r1_tarski(B,A) & r2_hidden(k1_card_1(B),k1_card_1(A))))) # label(t23_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4459 (all A v2_classes1(k4_classes1(k1_card_1(k1_classes1(A))))) # label(t40_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4460 $T # label(t48_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4461 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (exists B (m1_subset_1(B,A) & -v1_xboole_0(B))))) # label(rc2_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4462 (all A (v3_ordinal1(A) -> v1_ordinal1(k4_classes1(A)))) # label(fc7_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4463 (all A all B all C (-v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(B,A) & m1_subset_1(C,A) -> k6_classes2(A,B,C) = k4_tarski(B,C))) # label(redefinition_k6_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4464 (all A all B (v2_classes1(A) & v1_ordinal1(B) & r2_hidden(B,A) -> r2_hidden(B,k4_classes1(k1_card_1(A))))) # label(t43_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4465 (all A all B -(-r2_wellord2(A,k4_classes1(k1_card_1(k1_classes1(B)))) & -r2_hidden(A,k4_classes1(k1_card_1(k1_classes1(B)))) & r1_tarski(A,k4_classes1(k1_card_1(k1_classes1(B)))))) # label(t38_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4466 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & v1_classes2(A) -> k3_xboole_0(B,C) = k8_classes2(A,B,C))) # label(redefinition_k8_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4467 (all A (v2_classes1(A) -> k1_card_1(A) = k1_card_1(k4_classes1(k1_card_1(A))))) # label(t35_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4468 (all A all B all C (m1_subset_1(C,A) & m1_subset_1(B,A) & v1_classes2(A) & -v1_xboole_0(A) -> m1_subset_1(k6_classes2(A,B,C),A))) # label(dt_k6_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4469 (all A (v2_classes1(A) -> A = k1_xboole_0 | v4_ordinal1(k1_card_1(A)) & k1_xboole_0 != k1_card_1(A) & np__0 != k1_card_1(A))) # label(t21_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4470 (all A (v3_ordinal1(A) -> -v1_xboole_0(k1_classes1(A)) & v1_classes1(k1_classes1(A)) & v1_classes2(k1_classes1(A)) & v2_classes1(k1_classes1(A)) & v1_ordinal1(k1_classes1(A)))) # label(fc4_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4471 (all A all B (-v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(B,A) -> k1_setfam_1(B) = k4_classes2(A,B))) # label(redefinition_k4_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4472 (all A k1_card_1(k1_classes1(A)) = k1_card_1(k4_classes1(k1_card_1(k1_classes1(A))))) # label(t36_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4473 (all A all B all C (m1_subset_1(C,A) & m1_subset_1(B,A) & v1_classes2(A) & -v1_xboole_0(A) -> k5_xboole_0(B,C) = k10_classes2(A,B,C))) # label(redefinition_k10_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4474 (all A (v2_classes1(A) -> r1_tarski(k4_classes1(k1_card_1(A)),A))) # label(t28_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4475 $T # label(t47_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4476 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (v1_classes2(B) & -v1_xboole_0(B) -> r1_tarski(A,B) | r2_hidden(B,A))))) # label(t57_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4477 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,A) & v1_classes2(A) -> m1_subset_1(k3_classes2(A,B),A))) # label(dt_k3_classes2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4478 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (all C (v4_ordinal2(C) -> (r2_hidden(A,k2_finseq_1(B)) -> r2_hidden(k6_xcmplx_0(A,C),k2_finseq_1(B)) | r1_xreal_0(A,C)))))))) # label(t13_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4479 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B k6_xcmplx_0(k3_finseq_1(A),k4_card_1(k10_relat_1(A,B))) = k3_finseq_1(k1_finseq_3(A,B))))) # label(t66_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4480 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> (all C r1_tarski(k10_relat_1(A,C),k10_relat_1(k7_finseq_1(A,B),C))))))) # label(t64_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4481 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B all C all D (v2_funct_1(k11_finseq_1(B,C,D)) & k2_relat_1(A) = k1_enumset1(B,C,D) & v2_funct_1(A) -> k3_finseq_1(A) = np__3)))) # label(t109_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4482 (all A (v4_ordinal2(A) -> (all B all C (m2_finseq_1(C,B) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r1_xreal_0(D,A) -> k1_funct_1(k16_finseq_1(B,C,A),D) = k1_funct_1(C,D)))))))) # label(t121_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4483 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_finseq_1(C) & v1_relat_1(C) -> ((all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r2_hidden(D,k4_finseq_1(C)) -> k1_funct_1(A,k1_nat_1(k3_finseq_1(B),D)) = k1_funct_1(C,D)))) & (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r2_hidden(D,k4_finseq_1(B)) -> k1_funct_1(A,D) = k1_funct_1(B,D)))) & k1_nat_1(k3_finseq_1(B),k3_finseq_1(C)) = k3_finseq_1(A) -> A = k7_finseq_1(B,C)))))))) # label(t43_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4484 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> r3_xboole_0(k2_finseq_1(A),k2_finseq_1(B)))))) # label(t20_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4485 (all A all B all C k10_finseq_1(B,C) != k9_finseq_1(A)) # label(t40_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4486 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (np__0 != A -> r2_hidden(A,k2_finseq_1(k2_xcmplx_0(A,B)))))))) # label(t10_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4487 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> (r1_xreal_0(k3_finseq_1(A),k3_finseq_1(B)) <-> r1_tarski(k4_finseq_1(A),k4_finseq_1(B))))))) # label(t32_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4488 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v1_finset_1(B) -> (v2_funct_1(A) & r1_tarski(B,k2_relat_1(A)) -> k6_xcmplx_0(k3_finseq_1(A),k4_card_1(B)) = k3_finseq_1(k1_finseq_3(A,B))))))) # label(t96_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4489 (all A (v4_ordinal2(A) -> k1_finseq_2(A) = k14_finseq_1(k2_finseq_1(A)))) # label(t54_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4490 (all A (v4_ordinal2(A) -> -r2_hidden(k2_xcmplx_0(A,np__1),k2_finseq_1(A)))) # label(t9_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4491 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> -(-r1_xreal_0(A,np__0) & -r1_xreal_0(B,A) & k10_finseq_1(A,B) != k14_finseq_1(k2_tarski(A,B))))))) # label(t51_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4492 (all A all B all C all D (v1_relat_1(B) & v4_ordinal2(D) & v1_finseq_1(B) & v1_funct_1(B) -> ((exists E (E = A & r1_xreal_0(E,D) & r2_hidden(k1_funct_1(B,E),C) & r2_hidden(E,k4_finseq_1(B)) & m2_subset_1(E,k1_numbers,k5_numbers))) <-> r2_hidden(A,a_3_0_finseq_3(B,C,D))))) # label(fraenkel_a_3_0_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.47	4493 (all A all B (-r2_hidden(A,B) <-> k1_finseq_3(k9_finseq_1(A),B) = k9_finseq_1(A))) # label(t82_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4494 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (k3_finseq_1(A) = k3_finseq_1(k1_finseq_3(A,B)) -> r1_xboole_0(B,k2_relat_1(A)))))) # label(t68_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4495 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (k4_finseq_1(A) = k4_finseq_1(k1_finseq_3(A,B)) -> r1_xboole_0(B,k2_relat_1(A)))))) # label(t71_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4496 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (r1_xreal_0(B,A) <-> k7_relat_1(k1_finseq_2(A),k2_finseq_1(B)) = k1_finseq_2(B)))))) # label(t57_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4497 $T # label(t36_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4498 (all A (v4_ordinal2(A) -> k6_subset_1(k5_numbers,k2_finseq_1(k2_xcmplx_0(A,np__1)),k2_finseq_1(A)) = k1_tarski(k2_xcmplx_0(A,np__1)))) # label(t16_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4499 (all A (v4_ordinal2(A) -> v2_funct_1(k1_finseq_2(A)))) # label(t100_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4500 (all A all B all C all D k9_finseq_1(A) != k11_finseq_1(B,C,D)) # label(t41_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4501 (all A all B all C (v4_ordinal2(C) -> (all D (v4_ordinal2(D) -> (r1_tarski(A,k2_finseq_1(C)) & r1_tarski(B,k2_finseq_1(D)) -> ((all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (all F (m2_subset_1(F,k1_numbers,k5_numbers) -> -(r1_xreal_0(F,E) & r2_hidden(F,B) & r2_hidden(E,A)))))) <-> k8_finseq_1(k5_numbers,k14_finseq_1(A),k14_finseq_1(B)) = k14_finseq_1(k2_xboole_0(A,B)))))))) # label(t48_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4502 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (v4_ordinal2(B) -> (r1_xreal_0(k3_finseq_1(A),B) <-> k7_relat_1(A,k2_finseq_1(B)) = A))))) # label(t55_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4503 (all A all B all C (k1_finseq_3(k10_finseq_1(A,B),C) = k9_finseq_1(A) -> -r2_hidden(A,C) & r2_hidden(B,C) | B = A)) # label(t88_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4504 (all A all B (r2_hidden(A,B) <-> k1_finseq_3(k9_finseq_1(A),B) = k1_xboole_0)) # label(t83_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4505 (all A (v4_ordinal2(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> r1_tarski(k2_relat_1(k2_finseq_3(A,B)),k2_relat_1(B)))))) # label(t115_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4506 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (r2_hidden(B,k2_relat_1(A)) -> r2_hidden(np__1,k4_finseq_1(A)))))) # label(t33_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4507 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> (k3_finseq_1(B) = k3_finseq_1(A) <-> k4_finseq_1(B) = k4_finseq_1(A)))))) # label(t31_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4508 (all A all B (v4_ordinal2(B) -> (r1_tarski(A,k2_finseq_1(B)) -> v2_funct_1(k14_finseq_1(A))))) # label(t99_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4509 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B -(r2_hidden(B,k4_finseq_1(A)) & B = np__0)))) # label(t26_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4510 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B r1_tarski(k2_relat_1(k1_finseq_3(A,B)),k2_relat_1(A))))) # label(t73_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4511 (all A (-v1_xboole_0(A) -> (all B (m2_finseq_1(B,A) -> -((all C (m1_subset_1(C,A) -> (all D (m2_finseq_1(D,A) -> -(k1_funct_1(B,np__1) = C & B = k8_finseq_1(A,k12_finseq_1(A,C),D)))))) & -v1_xboole_0(B)))))) # label(t111_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4512 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (k2_finseq_1(A) = k2_finseq_1(k2_xcmplx_0(A,B)) -> B = np__0))))) # label(t18_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4513 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (r2_hidden(B,k4_finseq_1(A)) -> m2_subset_1(B,k1_numbers,k5_numbers))))) # label(t25_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4514 (all A all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) & v4_ordinal2(A) -> v1_relat_1(k2_finseq_3(A,B)) & v1_finseq_1(k2_finseq_3(A,B)) & v1_funct_1(k2_finseq_3(A,B)))) # label(dt_k2_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4515 (all A (v4_ordinal2(A) -> k2_finseq_1(k2_xcmplx_0(A,np__1)) != k2_finseq_1(A))) # label(t17_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4516 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> k1_xboole_0 = k1_finseq_3(A,k2_relat_1(A)))) # label(t79_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4517 (all A all B k2_finseq_1(np__2) = k4_finseq_1(k10_finseq_1(A,B))) # label(t29_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4518 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C (v4_ordinal2(C) -> (k2_xcmplx_0(C,np__1) = k3_finseq_1(A) & B = k7_relat_1(A,k2_finseq_1(C)) -> A = k7_finseq_1(B,k9_finseq_1(k1_funct_1(A,k2_xcmplx_0(C,np__1))))))))))) # label(t61_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4519 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (-r1_xreal_0(A,B) <-> r2_hidden(k6_xcmplx_0(A,B),k2_finseq_1(A))))))) # label(t14_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4520 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (k1_xboole_0 != k2_relat_1(A) -> r2_hidden(np__1,k4_finseq_1(A))))) # label(t34_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4521 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B all C (k2_tarski(B,C) = k2_relat_1(A) & v2_funct_1(A) -> np__2 = k3_finseq_1(A) | C = B)))) # label(t107_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4522 $T # label(t65_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4523 (all A all B all C (r2_hidden(C,B) -> k1_finseq_3(k10_finseq_1(A,C),B) = k9_finseq_1(A) | r2_hidden(A,B))) # label(t87_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4524 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B (k1_tarski(B) = k2_relat_1(A) & v2_funct_1(A) -> k9_finseq_1(B) = A)))) # label(t106_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4525 (all A (v4_ordinal2(A) -> k3_finseq_1(k14_finseq_1(k2_finseq_1(A))) = A)) # label(t52_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4526 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (k1_finseq_2(A) = k7_relat_1(k1_finseq_2(A),k2_finseq_1(B)) <-> r1_xreal_0(A,B)))))) # label(t58_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4527 (all A all B all C (r2_hidden(A,C) & r2_hidden(B,C) <-> k1_xboole_0 = k1_finseq_3(k10_finseq_1(A,B),C))) # label(t84_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4528 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v4_ordinal2(B) -> (r1_xreal_0(np__1,B) & r1_xreal_0(B,k3_finseq_1(A)) <-> r2_hidden(B,k4_finseq_1(A))))))) # label(t27_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4529 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B all C (v4_ordinal2(C) -> (C = k6_xcmplx_0(k3_finseq_1(A),k4_card_1(k10_relat_1(A,B))) -> k2_finseq_1(C) = k4_finseq_1(k1_finseq_3(A,B))))))) # label(t69_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4530 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> r1_tarski(k2_finseq_1(A),k2_finseq_1(k2_xcmplx_0(A,B))))))) # label(t19_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4531 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (k1_finseq_3(A,B) = A <-> r1_xboole_0(B,k2_relat_1(A)))))) # label(t76_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4532 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (r2_hidden(B,k2_relat_1(A)) & v2_funct_1(A) -> k3_finseq_1(k1_finseq_3(A,k1_tarski(B))) = k6_xcmplx_0(k3_finseq_1(A),np__1))))) # label(t97_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4533 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v4_ordinal2(B) -> (m2_subset_1(k6_xcmplx_0(k3_finseq_1(A),B),k1_numbers,k5_numbers) & m2_subset_1(k6_xcmplx_0(B,np__1),k1_numbers,k5_numbers) <-> r2_hidden(B,k4_finseq_1(A))))))) # label(t28_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4534 (all A (v4_ordinal2(A) -> r1_xboole_0(k2_finseq_1(A),k1_tarski(k2_xcmplx_0(A,np__1))))) # label(t15_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4535 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C all D (v4_ordinal2(D) -> (k7_relat_1(A,k2_finseq_1(D)) = B & k3_finseq_1(A) = k2_xcmplx_0(D,np__1) -> (k1_finseq_3(A,C) = k7_finseq_1(k1_finseq_3(B,C),k9_finseq_1(k1_funct_1(A,k2_xcmplx_0(D,np__1)))) <-> -r2_hidden(k1_funct_1(A,k2_xcmplx_0(D,np__1)),C))))))))) # label(t91_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4536 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (v2_funct_1(A) -> k3_finseq_1(k1_finseq_3(A,B)) = k6_xcmplx_0(k3_finseq_1(A),k4_card_1(k3_xboole_0(B,k2_relat_1(A)))))))) # label(t95_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4537 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v4_ordinal2(B) -> (all C (v4_ordinal2(C) -> (r2_hidden(B,k4_finseq_1(A)) & k2_xcmplx_0(C,np__1) = k3_finseq_1(A) -> C = k3_finseq_1(k2_finseq_3(B,A))))))))) # label(t118_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4538 (all A all B (v4_ordinal2(B) -> (all C (v4_ordinal2(C) -> (all D (v4_ordinal2(D) -> (all E (v4_ordinal2(E) -> (all F (v4_ordinal2(F) -> -(r1_xreal_0(np__1,E) & k1_funct_1(k14_finseq_1(A),F) = C & r1_xreal_0(E,F) & D = k1_funct_1(k14_finseq_1(A),E) & r1_xreal_0(F,k3_finseq_1(k14_finseq_1(A))) & -r1_xreal_0(D,C) & r1_tarski(A,k2_finseq_1(B))))))))))))) # label(t46_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4539 (all A (v4_ordinal2(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_finseq_1(C,B) -> m2_finseq_1(k2_finseq_3(A,C),B))))))) # label(t114_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4540 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (r2_hidden(k2_xcmplx_0(A,B),k2_finseq_1(A)) -> np__0 = B))))) # label(t11_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4541 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B all C -(k2_relat_1(A) = k2_tarski(B,C) & C != B & k10_finseq_1(C,B) != A & k10_finseq_1(B,C) != A & v2_funct_1(A))))) # label(t108_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4542 (all A all B all C all D all E k10_finseq_1(A,B) != k11_finseq_1(C,D,E)) # label(t42_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4543 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> (v2_funct_1(B) & v2_funct_1(A) & r1_xboole_0(k2_relat_1(A),k2_relat_1(B)) <-> v2_funct_1(k7_finseq_1(A,B))))))) # label(t98_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4544 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B (k2_relat_1(k1_finseq_3(A,B)) = k2_relat_1(A) -> r1_xboole_0(B,k2_relat_1(A)))))) # label(t74_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4545 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B k1_finseq_3(A,B) = k5_relat_1(k14_finseq_1(k4_xboole_0(k4_finseq_1(A),k10_relat_1(A,B))),A)))) # label(d1_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4546 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (all C (v4_ordinal2(C) -> (A = k2_xcmplx_0(B,np__1) & r2_hidden(C,k2_finseq_1(A)) -> k3_finseq_1(k14_finseq_1(k4_xboole_0(k2_finseq_1(A),k1_tarski(C)))) = B))))))) # label(t116_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4547 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> (all C all D (v4_ordinal2(D) -> (k2_xcmplx_0(D,np__1) = k3_finseq_1(A) & B = k7_relat_1(A,k2_finseq_1(D)) -> (r2_hidden(k1_funct_1(A,k2_xcmplx_0(D,np__1)),C) <-> k1_finseq_3(A,C) = k1_finseq_3(B,C))))))))) # label(t90_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4548 $T # label(t35_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4549 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> k1_finseq_2(A) = k7_relat_1(k1_finseq_2(k2_xcmplx_0(A,B)),k2_finseq_1(A)))))) # label(t56_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4550 $T # label(t37_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4551 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (k1_xboole_0 = k1_finseq_3(A,B) <-> r1_tarski(k2_relat_1(A),B))))) # label(t75_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4552 (all A (v4_ordinal2(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> k2_finseq_3(A,B) = k5_relat_1(k14_finseq_1(k4_xboole_0(k4_finseq_1(B),k1_tarski(A))),B))))) # label(d2_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4553 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (k3_finseq_1(A) = k1_nat_1(C,np__1) & r2_hidden(B,k4_finseq_1(A)) & r1_xreal_0(B,D) & r1_xreal_0(D,C) -> k1_funct_1(k2_finseq_3(B,A),D) = k1_funct_1(A,k1_nat_1(D,np__1))))))))))) # label(t120_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4554 $T # label(t21_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4555 $T # label(t47_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4556 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C k7_finseq_1(k1_finseq_3(A,C),k1_finseq_3(B,C)) = k1_finseq_3(k7_finseq_1(A,B),C)))))) # label(t80_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4557 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (A = k1_finseq_3(A,k1_tarski(B)) <-> -r2_hidden(B,k2_relat_1(A)))))) # label(t77_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4558 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(k7_relat_1(A,B)) & v1_finseq_1(k7_relat_1(A,B)) & v1_funct_1(k7_relat_1(A,B)) <-> (exists C (m2_subset_1(C,k1_numbers,k5_numbers) & k3_xboole_0(B,k4_finseq_1(A)) = k2_finseq_1(C))))))) # label(t62_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4559 (all A v2_funct_1(k9_finseq_1(A))) # label(t102_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4560 (all A all B (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> v1_relat_1(k1_finseq_3(A,B)) & v1_finseq_1(k1_finseq_3(A,B)) & v1_funct_1(k1_finseq_3(A,B)))) # label(dt_k1_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4561 (all A all B all C (k1_finseq_3(k10_finseq_1(A,B),C) = k9_finseq_1(B) -> -r2_hidden(B,C) & r2_hidden(A,C) | A = B)) # label(t86_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4562 (all A all B all C (v4_ordinal2(C) -> (k2_finseq_1(C) = k2_tarski(A,B) -> np__2 = C & k2_tarski(np__1,np__2) = k2_tarski(A,B) | A = B))) # label(t23_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4563 (all A k1_finseq_3(k1_xboole_0,A) = k1_xboole_0) # label(t81_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4564 (all A all B all C k2_finseq_1(np__3) = k4_finseq_1(k11_finseq_1(A,B,C))) # label(t30_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4565 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v2_funct_1(A) -> v2_funct_1(k1_finseq_3(A,B)))))) # label(t94_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4566 (all A all B (v4_ordinal2(B) -> (k1_tarski(A) = k2_finseq_1(B) -> A = np__1 & B = np__1))) # label(t22_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4567 $T # label(t101_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4568 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> k7_relat_1(k14_finseq_1(k2_finseq_1(k2_xcmplx_0(A,B))),k2_finseq_1(A)) = k14_finseq_1(k2_finseq_1(A)))))) # label(t53_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4569 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (k3_finseq_1(A) = k1_nat_1(C,np__1) -> k1_funct_1(A,D) = k1_funct_1(k2_finseq_3(B,A),D) | r1_xreal_0(B,D)))))))))) # label(t119_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4570 (all A (v4_ordinal2(A) -> (all B (v1_finset_1(B) -> (r1_tarski(B,k2_finseq_1(A)) -> k2_finseq_1(k4_card_1(B)) = k4_finseq_1(k14_finseq_1(B))))))) # label(t45_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4571 (all A (v4_ordinal2(A) -> (all B (v1_finset_1(B) -> (r1_tarski(B,k2_finseq_1(A)) -> k4_card_1(B) = k3_finseq_1(k14_finseq_1(B))))))) # label(t44_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4572 (all A (v4_ordinal2(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> (-r2_hidden(A,k4_finseq_1(B)) -> B = k2_finseq_3(A,B)) & -((all C (m2_subset_1(C,k1_numbers,k5_numbers) -> -(k1_nat_1(C,np__1) = k3_finseq_1(B) & k3_finseq_1(k2_finseq_3(A,B)) = C))) & r2_hidden(A,k4_finseq_1(B))))))) # label(t113_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4573 (all A all B k1_xboole_0 != k10_finseq_1(A,B)) # label(t38_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4574 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B k4_xboole_0(k2_relat_1(A),B) = k2_relat_1(k1_finseq_3(A,B))))) # label(t72_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4575 (all A all B all C (C != A & B != C & B != A <-> v2_funct_1(k11_finseq_1(A,B,C)))) # label(t104_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4576 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B r1_tarski(k4_finseq_1(k1_finseq_3(A,B)),k4_finseq_1(A))))) # label(t70_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4577 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B all C all D (v2_funct_1(A) & k2_relat_1(A) = k1_enumset1(B,C,D) -> C = B | D = C | k3_finseq_1(A) = np__3 | B = D)))) # label(t110_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4578 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B all C (m2_finseq_1(A,B) -> m2_finseq_1(k1_finseq_3(A,C),B))))) # label(t93_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4579 (all A all B all C (-r2_hidden(A,C) & -r2_hidden(B,C) <-> k1_finseq_3(k10_finseq_1(A,B),C) = k10_finseq_1(A,B))) # label(t89_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4580 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B r1_xreal_0(k3_finseq_1(k1_finseq_3(A,B)),k3_finseq_1(A))))) # label(t67_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4581 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C (r2_hidden(C,k4_finseq_1(A)) -> r2_hidden(C,k4_finseq_1(k7_finseq_1(A,B))))))))) # label(t24_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4582 $T # label(t8_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4583 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> (all C (v4_ordinal2(C) -> (all D (v4_ordinal2(D) -> (B = k7_relat_1(A,k2_finseq_1(C)) & k2_xcmplx_0(C,D) = k3_finseq_1(A) -> k2_finseq_1(C) = k4_finseq_1(B)))))))))) # label(t60_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4584 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v2_funct_1(A) & k1_tarski(B) = k2_relat_1(A) -> np__1 = k3_finseq_1(A))))) # label(t105_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4585 (all A all B all C (r2_hidden(A,B) -> k1_finseq_3(k10_finseq_1(A,C),B) = k9_finseq_1(C) | r2_hidden(C,B))) # label(t85_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4586 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B all C (v4_ordinal2(C) -> (r2_hidden(C,k4_finseq_1(A)) -> (all D (v1_finset_1(D) -> -(D = a_3_0_finseq_3(A,B,C) & -r2_hidden(k1_funct_1(A,C),B) & k1_funct_1(k1_finseq_3(A,B),k6_xcmplx_0(C,k4_card_1(D))) != k1_funct_1(A,C))))))))) # label(t92_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4587 (all A all B all C k11_finseq_1(A,B,C) != k1_xboole_0) # label(t39_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4588 (all A (v4_ordinal2(A) -> (all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> (all C (r2_hidden(A,k4_finseq_1(B)) -> k1_funct_1(B,A) = k1_funct_1(k7_finseq_1(k9_finseq_1(C),B),k2_xcmplx_0(A,np__1)))))))) # label(t112_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4589 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> k1_finseq_3(A,k1_xboole_0) = A)) # label(t78_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4590 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (-r1_xreal_0(B,A) -> r2_hidden(k2_xcmplx_0(A,np__1),k2_finseq_1(B))))))) # label(t12_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4591 (all A (v4_ordinal2(A) -> (A != np__0 -> k9_finseq_1(A) = k14_finseq_1(k1_tarski(A))))) # label(t50_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4592 (all A all B (B != A <-> v2_funct_1(k10_finseq_1(A,B)))) # label(t103_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4593 (all A (v4_ordinal2(A) -> (k1_xboole_0 = k2_finseq_1(A) <-> -r2_hidden(A,k2_finseq_1(A))))) # label(t7_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4594 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> (all C (v4_ordinal2(C) -> (all D (v4_ordinal2(D) -> (k2_xcmplx_0(C,D) = k3_finseq_1(A) & B = k7_relat_1(A,k2_finseq_1(C)) -> k3_finseq_1(B) = C))))))))) # label(t59_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4595 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C k4_card_1(k10_relat_1(k7_finseq_1(A,B),C)) = k1_nat_1(k4_card_1(k10_relat_1(A,C)),k4_card_1(k10_relat_1(B,C)))))))) # label(t63_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4596 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (k1_nat_1(C,np__1) = D & r2_hidden(B,k2_finseq_1(D)) & r2_hidden(A,k2_finseq_1(C)) -> (r1_xreal_0(np__1,A) -> r1_xreal_0(B,A) | k1_funct_1(k14_finseq_1(k4_xboole_0(k2_finseq_1(D),k1_tarski(B))),A) = A) & (r1_xreal_0(B,A) & r1_xreal_0(A,C) -> k1_funct_1(k14_finseq_1(k4_xboole_0(k2_finseq_1(D),k1_tarski(B))),A) = k1_nat_1(A,np__1))))))))))) # label(t117_finseq_3) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4597 (all A (v1_classes2(A) & -v1_xboole_0(A) -> -((all B (m2_ordinal4(B,A) -> -(v3_ordinal2(B) & (all C (m1_ordinal4(C,A) -> (all D (-v1_xboole_0(D) -> (k4_classes1(C) = D & C = k4_ordinal4(A,B,C) -> C = k1_xboole_0 | r2_zfrefle1(D,A)))))) & v2_ordinal2(B)))) & r2_hidden(k5_ordinal2,A)))) # label(t39_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4598 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (r3_zfrefle1(A,B) -> r2_zfrefle1(A,B)))))) # label(t9_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4599 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (all C (v3_ordinal1(C) -> (r4_zfrefle1(B,C) & r4_zfrefle1(A,B) -> r4_zfrefle1(A,C)))))))) # label(t21_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4600 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (-v1_xboole_0(B) & v1_classes2(B) -> (r1_tarski(k2_relat_1(A),B) & r2_hidden(k1_relat_1(A),B) -> r2_hidden(k2_relat_1(A),B)))))) # label(t12_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4601 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k9_zf_lang)) -> (all C (m1_subset_1(C,k1_zfmisc_1(k9_zf_lang)) -> (r1_tarski(B,C) & r1_zfrefle1(A,C) -> r1_zfrefle1(A,B)))))))) # label(t2_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4602 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (m1_ordinal4(B,A) -> -r4_zfrefle1(k2_ordinal2(A),B))))) # label(t29_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4603 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (r2_zfrefle1(A,B) <-> (all C (m2_finseq_1(C,k5_numbers) & v1_zf_lang(C) -> (r2_zf_model(B,C) <-> r2_zf_model(A,C))))))))) # label(t7_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4604 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (m1_ordinal1(B,A) & v1_zf_refle(B,A) & v2_relat_1(B) -> -(r2_hidden(k5_ordinal2,A) & (all C (m1_ordinal4(C,A) -> (v4_ordinal1(C) -> k1_xboole_0 = C | k3_card_3(k2_ordinal1(B,C)) = k5_zf_refle(A,B,C)))) & (all C (m2_ordinal4(C,A) -> -(v2_ordinal2(C) & v3_ordinal2(C) & (all D (m1_ordinal4(D,A) -> (D = k4_ordinal4(A,C,D) -> k1_xboole_0 = D | r3_zfrefle1(k5_zf_refle(A,B,D),k4_zf_refle(A,B)))))))) & (all C (m1_ordinal4(C,A) -> (all D (m1_ordinal4(D,A) -> (r2_hidden(C,D) -> r1_tarski(k5_zf_refle(A,B,C),k5_zf_refle(A,B,D)))))))))))) # label(t32_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4605 (all A (v3_ordinal1(A) -> (all B (v1_funct_1(B) & v1_ordinal2(B) & v5_ordinal1(B) & v1_relat_1(B) -> (v4_ordinal1(k1_relat_1(B)) & r1_ordinal2(A,B) & v2_ordinal2(B) -> k1_xboole_0 = k1_relat_1(B) | r4_zfrefle1(A,k1_relat_1(B))))))) # label(t24_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4606 (all A (v3_ordinal1(A) -> (r4_zfrefle1(A,k1_xboole_0) -> A = k1_xboole_0))) # label(t28_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4607 (all A (v3_ordinal1(A) -> (all B (v1_relat_1(B) & v5_ordinal1(B) & v1_ordinal2(B) & v1_funct_1(B) -> (v2_ordinal2(B) -> v2_ordinal2(k1_ordinal3(A,B))))))) # label(t15_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4608 $T # label(dt_k1_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4609 (all A -(r2_hidden(A,f1_s1_zfrefle1) & (all B -p1_s1_zfrefle1(A,B)))) -> (exists A (v1_relat_1(A) & v1_funct_1(A) & f1_s1_zfrefle1 = k1_relat_1(A) & (all B (r2_hidden(B,f1_s1_zfrefle1) -> p1_s1_zfrefle1(B,k1_funct_1(A,B)))))) # label(s1_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4610 $T # label(t11_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4611 (all A (v3_ordinal1(A) -> r4_zfrefle1(k1_ordinal1(A),k4_ordinal2))) # label(t25_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4612 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (v1_zf_model(A) & v1_ordinal1(B) & r2_zfrefle1(A,B) -> v1_zf_model(B)))))) # label(t10_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4613 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r4_zfrefle1(A,B) -> (v4_ordinal1(B) <-> v4_ordinal1(A))))))) # label(t27_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4614 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r4_zfrefle1(A,B) & r4_zfrefle1(B,A) -> A = B))))) # label(t23_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4615 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_2(C,B,k1_funct_2(k2_ordinal2(A),k2_ordinal2(A))) & m2_relset_1(C,B,k1_funct_2(k2_ordinal2(A),k2_ordinal2(A))) & v1_funct_1(C) -> -(r2_hidden(k1_card_1(B),k1_card_1(A)) & (all D (m2_ordinal4(D,A) -> -(v2_ordinal2(D) & v3_ordinal2(D) & k2_ordinal4(A) = k4_ordinal4(A,D,k2_ordinal4(A)) & (all E (m1_ordinal4(E,A) -> k7_ordinal2(k2_xboole_0(k1_tarski(k4_ordinal4(A,D,E)),k9_relat_1(k4_funct_5(C),k2_zfmisc_1(B,k1_tarski(k6_ordinal4(A,E)))))) = k4_ordinal4(A,D,k6_ordinal4(A,E)))) & (all E (m1_ordinal4(E,A) -> (v4_ordinal1(E) -> k2_ordinal4(A) = E | k4_ordinal4(A,D,E) = k8_ordinal2(k2_ordinal1(D,E))))))))))))))) # label(t14_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4616 (all A (-v1_xboole_0(A) -> (v1_ordinal1(A) & r1_zfrefle1(A,k2_zfrefle1) -> v1_zf_model(A)))) # label(t5_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4617 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (m1_ordinal4(B,A) -> (all C (m2_ordinal4(C,A) -> -(r2_hidden(k5_ordinal2,A) & v2_ordinal2(C) & (all D (m1_ordinal4(D,A) -> -(k4_ordinal4(A,C,D) = D & r2_hidden(B,D)))) & v3_ordinal2(C)))))))) # label(t30_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4618 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r4_zfrefle1(A,B) <-> (exists C (v1_funct_1(C) & v5_ordinal1(C) & k1_relat_1(C) = B & r1_tarski(k2_relat_1(C),A) & k8_ordinal2(C) = A & v2_ordinal2(C) & v1_ordinal2(C) & v1_relat_1(C)))))))) # label(d5_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4619 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k9_zf_lang)) -> ((all C (v1_zf_lang(C) & m2_finseq_1(C,k5_numbers) -> (r2_hidden(C,B) -> r2_zf_model(A,C)))) <-> r1_zfrefle1(A,B)))))) # label(d1_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4620 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (m1_ordinal4(B,A) -> -((all C (m1_ordinal4(C,A) -> (all D (-v1_xboole_0(D) -> -(r2_hidden(B,C) & D = k4_classes1(C) & r3_zfrefle1(D,A)))))) & r2_hidden(k5_ordinal2,A)))))) # label(t36_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4621 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k9_zf_lang)) -> (all C (m1_subset_1(C,k1_zfmisc_1(k9_zf_lang)) -> (r1_zfrefle1(A,C) & r1_zfrefle1(A,B) -> r1_zfrefle1(A,k4_subset_1(k9_zf_lang,B,C))))))))) # label(t3_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4622 (all A all B (-v1_xboole_0(A) & -v1_xboole_0(B) -> (r2_zfrefle1(A,B) -> r2_zfrefle1(B,A)))) # label(symmetry_r2_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4623 $T # label(t18_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4624 (all A (-v1_xboole_0(A) & v1_classes2(A) -> -(r2_hidden(k5_ordinal2,A) & (all B (m1_ordinal4(B,A) -> (all C (-v1_xboole_0(C) -> -(C = k4_classes1(B) & v1_zf_model(C) & r4_zfrefle1(B,k5_ordinal2))))))))) # label(t42_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4625 (all A (-v1_xboole_0(A) -> (v1_zf_model(A) -> r1_zfrefle1(A,k2_zfrefle1)))) # label(t4_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4626 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (r3_zfrefle1(A,B) <-> (all C (v1_zf_lang(C) & m2_finseq_1(C,k5_numbers) -> (all D (m2_relset_1(D,k1_zf_lang,A) & v1_funct_2(D,k1_zf_lang,A) & v1_funct_1(D) -> (r1_zf_model(B,k2_zf_lang1(k1_zf_lang,A,B,D),C) <-> r1_zf_model(A,D,C)))))) & r1_tarski(A,B)))))) # label(d3_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4627 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (all C (v1_relat_1(C) & v5_ordinal1(C) & v1_ordinal2(C) & v1_funct_1(C) -> k1_ordinal3(A,k2_ordinal1(C,B)) = k2_ordinal1(k1_ordinal3(A,C),B))))))) # label(t16_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4628 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (m1_ordinal4(B,A) -> r2_hidden(k4_classes1(B),A))))) # label(t33_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4629 (all A ((all B (-(k7_zf_model != B & k9_zf_model != B & k10_zf_model != B & (all C (m2_finseq_1(C,k5_numbers) & v1_zf_lang(C) -> -(r1_xboole_0(k1_enumset1(k2_zf_lang(np__0),k2_zf_lang(np__1),k2_zf_lang(np__2)),k2_zf_model(C)) & k11_zf_model(C) = B))) & k8_zf_model != B & B != k6_zf_model) & r2_hidden(B,k9_zf_lang) <-> r2_hidden(B,A))) <-> k1_zfrefle1 = A)) # label(d4_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4630 (all A (-v1_xboole_0(A) & v1_classes2(A) -> -(r2_hidden(k5_ordinal2,A) & (all B (m2_ordinal4(B,A) -> -(v2_ordinal2(B) & v3_ordinal2(B) & (all C (m1_ordinal4(C,A) -> (all D (-v1_xboole_0(D) -> (C = k4_ordinal4(A,B,C) & D = k4_classes1(C) -> C = k1_xboole_0 | r3_zfrefle1(D,A)))))))))))) # label(t35_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4631 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (m1_ordinal4(B,A) -> (k1_xboole_0 != B -> m1_subset_1(k4_classes1(B),A) & -v1_xboole_0(k4_classes1(B))))))) # label(t34_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4632 (all A all B (-v1_xboole_0(B) & -v1_xboole_0(A) -> r2_zfrefle1(A,A))) # label(reflexivity_r2_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.48	4633 (all A (v1_funct_1(A) & v5_ordinal1(A) & v1_ordinal2(A) & v1_relat_1(A) -> r1_tarski(k2_relat_1(A),k8_ordinal2(A)))) # label(t20_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4634 (all A all B (v3_ordinal1(A) & v3_ordinal1(B) -> r4_zfrefle1(A,A))) # label(reflexivity_r4_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4635 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r4_zfrefle1(A,B) -> r1_tarski(B,A)))))) # label(t22_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4636 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (m1_ordinal4(B,A) -> (all C (m2_ordinal4(C,A) -> -(r2_hidden(k5_ordinal2,A) & v2_ordinal2(C) & v3_ordinal2(C) & (all D (m1_ordinal4(D,A) -> -(r2_hidden(B,D) & D = k4_ordinal4(A,C,D) & r4_zfrefle1(D,k5_ordinal2))))))))))) # label(t31_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4637 (all A (-v1_xboole_0(A) & v1_classes2(A) -> -(r2_hidden(k5_ordinal2,A) & (all B (m1_ordinal4(B,A) -> (all C (-v1_xboole_0(C) -> -(r4_zfrefle1(B,k5_ordinal2) & r3_zfrefle1(C,A) & C = k4_classes1(B))))))))) # label(t37_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4638 (all A (m2_finseq_1(A,k5_numbers) & v1_zf_lang(A) -> (exists B (m2_finseq_1(B,k5_numbers) & k1_xboole_0 = k2_zf_model(B) & (all C (-v1_xboole_0(C) -> (r2_zf_model(C,A) <-> r2_zf_model(C,B)))) & v1_zf_lang(B))))) # label(t6_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4639 (all A (-v1_xboole_0(A) -> r1_zfrefle1(A,k1_subset_1(k9_zf_lang)))) # label(t1_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4640 (all A all B (r2_wellord2(A,B) | k1_card_1(A) = k1_card_1(B) -> k1_card_1(k1_zfmisc_1(B)) = k1_card_1(k1_zfmisc_1(A)) & r2_wellord2(k1_zfmisc_1(A),k1_zfmisc_1(B)))) # label(t13_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4641 (all A all B (-v1_xboole_0(A) & -v1_xboole_0(B) -> r3_zfrefle1(A,A))) # label(reflexivity_r3_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4642 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (r2_zfrefle1(A,B) <-> (all C (m2_finseq_1(C,k5_numbers) & v1_zf_lang(C) -> (k2_zf_model(C) = k1_xboole_0 -> (r2_zf_model(A,C) <-> r2_zf_model(B,C)))))))))) # label(d2_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4643 (all A (-v1_xboole_0(A) & v1_classes2(A) -> -((all B (m1_ordinal4(B,A) -> (all C (-v1_xboole_0(C) -> -(r2_zfrefle1(C,A) & C = k4_classes1(B) & r4_zfrefle1(B,k5_ordinal2)))))) & r2_hidden(k5_ordinal2,A)))) # label(t41_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4644 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (v1_zf_refle(B,A) & m1_ordinal1(B,A) & v2_relat_1(B) -> -(r2_hidden(k5_ordinal2,A) & (all C (m1_ordinal4(C,A) -> (all D (m1_ordinal4(D,A) -> (r2_hidden(C,D) -> r1_tarski(k5_zf_refle(A,B,C),k5_zf_refle(A,B,D))))))) & (all C (m1_ordinal4(C,A) -> (v4_ordinal1(C) -> k5_zf_refle(A,B,C) = k3_card_3(k2_ordinal1(B,C)) | k1_xboole_0 = C))) & (all C (m2_ordinal4(C,A) -> -(v2_ordinal2(C) & (all D (m1_ordinal4(D,A) -> (k4_ordinal4(A,C,D) = D -> r2_zfrefle1(k5_zf_refle(A,B,D),k4_zf_refle(A,B)) | k1_xboole_0 = D))) & v3_ordinal2(C))))))))) # label(t38_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4645 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> -(r4_zfrefle1(A,k1_ordinal1(B)) & (all C (v3_ordinal1(C) -> A != k1_ordinal1(C)))))))) # label(t26_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4646 (all A all B (v1_classes2(B) & -v1_xboole_0(B) -> -(r2_hidden(k5_ordinal2,B) & r2_hidden(A,B) & (all C (-v1_xboole_0(C) -> -(r2_hidden(A,C) & r2_hidden(C,B) & v1_zf_model(C))))))) # label(t43_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4647 (all A (v3_ordinal1(A) -> (all B (v5_ordinal1(B) & v1_ordinal2(B) & v1_funct_1(B) & v1_relat_1(B) -> (v3_ordinal2(B) & v2_ordinal2(B) -> v3_ordinal2(k1_ordinal3(A,B))))))) # label(t17_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4648 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (r2_zfrefle1(A,B) <-> (all C (m1_subset_1(C,k1_zfmisc_1(k9_zf_lang)) -> (r1_zfrefle1(B,C) <-> r1_zfrefle1(A,C))))))))) # label(t8_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4649 (all A all B (v1_funct_1(B) & v5_ordinal1(B) & v1_ordinal2(B) & v1_relat_1(B) -> (r2_hidden(A,k2_relat_1(B)) -> v3_ordinal1(A)))) # label(t19_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4650 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (m1_ordinal4(B,A) -> -(r2_hidden(k5_ordinal2,A) & (all C (m1_ordinal4(C,A) -> (all D (-v1_xboole_0(D) -> -(r2_hidden(B,C) & r2_zfrefle1(D,A) & k4_classes1(C) = D)))))))))) # label(t40_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4651 $T # label(t18_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4652 (all A (m1_subset_1(A,k8_qc_lang1) -> (v4_qc_lang1(A) -> -r1_xreal_0(k3_finseq_1(k10_qc_lang1(A)),k3_finseq_1(k10_qc_lang1(k19_qc_lang1(A)))) & -r1_xreal_0(k3_finseq_1(k10_qc_lang1(A)),k3_finseq_1(k10_qc_lang1(k18_qc_lang1(A))))))) # label(t46_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4653 $T # label(t6_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4654 (all A (m1_subset_1(A,k8_qc_lang1) -> (v3_qc_lang1(A) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (k17_qc_lang1(A) = B <-> A = k12_qc_lang1(B))))))) # label(d23_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4655 (all A (m1_subset_1(A,k8_qc_lang1) -> m1_subset_1(k24_qc_lang1(A),k1_zfmisc_1(k2_qc_lang1)))) # label(dt_k24_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4656 (all A (m1_subset_1(A,k5_numbers) -> (exists B m1_qc_lang1(B,A)))) # label(existence_m1_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4657 (all A (m1_subset_1(A,k8_qc_lang1) -> r1_xreal_0(np__1,k3_finseq_1(k10_qc_lang1(A))))) # label(t34_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4658 (all A (m1_subset_1(A,k8_qc_lang1) -> ((exists B ((exists C ((exists D (k9_qc_lang1(C,D) = A & m1_qc_lang1(D,B))) & m2_subset_1(C,k5_qc_lang1,k7_qc_lang1(B)))) & m2_subset_1(B,k1_numbers,k5_numbers))) <-> v2_qc_lang1(A)))) # label(d17_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4659 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k5_qc_lang1,k7_qc_lang1(A)) -> np__1 != k1_mcart_1(B) & np__2 != k1_mcart_1(B) & np__3 != k1_mcart_1(B) & k1_mcart_1(B) != np__0)))) # label(t48_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4660 $T # label(t41_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4661 $T # label(t28_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4662 $T # label(t8_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4663 $T # label(t17_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4664 (all A (m1_finseq_1(A,k1_qc_lang1) -> m1_subset_1(k22_qc_lang1(A),k1_zfmisc_1(k2_qc_lang1)))) # label(dt_k22_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4665 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k1_zfmisc_1(k2_qc_lang1)) -> ((exists C (v1_funct_1(C) & k8_funct_2(k8_qc_lang1,k1_zfmisc_1(k2_qc_lang1),C,A) = B & (all D (m1_subset_1(D,k8_qc_lang1) -> (v3_qc_lang1(D) -> k8_funct_2(k8_qc_lang1,k1_zfmisc_1(k2_qc_lang1),C,k17_qc_lang1(D)) = k8_funct_2(k8_qc_lang1,k1_zfmisc_1(k2_qc_lang1),C,D)) & (v4_qc_lang1(D) -> k4_subset_1(k2_qc_lang1,k8_funct_2(k8_qc_lang1,k1_zfmisc_1(k2_qc_lang1),C,k18_qc_lang1(D)),k8_funct_2(k8_qc_lang1,k1_zfmisc_1(k2_qc_lang1),C,k19_qc_lang1(D))) = k8_funct_2(k8_qc_lang1,k1_zfmisc_1(k2_qc_lang1),C,D)) & (v5_qc_lang1(D) -> k6_subset_1(k2_qc_lang1,k8_funct_2(k8_qc_lang1,k1_zfmisc_1(k2_qc_lang1),C,k21_qc_lang1(D)),k23_qc_lang1(k20_qc_lang1(D))) = k8_funct_2(k8_qc_lang1,k1_zfmisc_1(k2_qc_lang1),C,D)) & (v2_qc_lang1(D) -> a_1_2_qc_lang1(D) = k8_funct_2(k8_qc_lang1,k1_zfmisc_1(k2_qc_lang1),C,D)) & k8_funct_2(k8_qc_lang1,k1_zfmisc_1(k2_qc_lang1),C,k11_qc_lang1) = k1_xboole_0)) & m2_relset_1(C,k8_qc_lang1,k1_zfmisc_1(k2_qc_lang1)) & v1_funct_2(C,k8_qc_lang1,k1_zfmisc_1(k2_qc_lang1)))) <-> k24_qc_lang1(A) = B))))) # label(d29_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4666 (all A (m1_subset_1(A,k8_qc_lang1) -> k10_qc_lang1(A) = A)) # label(d12_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4667 $T # label(t40_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4668 (all A all B (m1_subset_1(B,k8_qc_lang1) & m1_subset_1(A,k2_qc_lang1) -> m1_subset_1(k14_qc_lang1(A,B),k8_qc_lang1))) # label(dt_k14_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4669 $T # label(t31_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4670 (all A (m1_subset_1(A,k5_qc_lang1) -> (all B (m2_finseq_1(B,k1_qc_lang1) -> (k6_qc_lang1(A) = k3_finseq_1(B) -> k7_finseq_1(k12_finseq_1(k5_qc_lang1,A),B) = k9_qc_lang1(A,B)))))) # label(d11_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4671 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k13_qc_lang1(A,B) = k7_finseq_1(k7_finseq_1(k9_finseq_1(k4_tarski(np__2,np__0)),k10_qc_lang1(A)),k10_qc_lang1(B)))))) # label(d15_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4672 (all A (m1_subset_1(A,k8_qc_lang1) -> m1_subset_1(k17_qc_lang1(A),k8_qc_lang1))) # label(dt_k17_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4673 (all A (m1_subset_1(A,k8_qc_lang1) -> (v5_qc_lang1(A) <-> (exists B ((exists C (A = k14_qc_lang1(B,C) & m1_subset_1(C,k8_qc_lang1))) & m2_subset_1(B,k1_qc_lang1,k2_qc_lang1)))))) # label(d20_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4674 $T # label(t22_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4675 (all A all B (m2_finseq_1(B,k1_qc_lang1) -> (r2_hidden(A,a_1_1_qc_lang1(B)) <-> (exists C (m2_subset_1(C,k1_numbers,k5_numbers) & r1_xreal_0(C,k3_finseq_1(B)) & r2_hidden(k1_funct_1(B,C),k2_qc_lang1) & r1_xreal_0(np__1,C) & k1_funct_1(B,C) = A))))) # label(fraenkel_a_1_1_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4676 (all A (-v1_xboole_0(A) -> (all B all C (m1_subset_1(C,A) -> r1_tarski(k2_zfmisc_1(k1_tarski(C),B),k2_zfmisc_1(A,B)))))) # label(t1_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4677 (all A (m1_subset_1(A,k5_numbers) -> m1_subset_1(k7_qc_lang1(A),k1_zfmisc_1(k5_qc_lang1)))) # label(dt_k7_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4678 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k5_qc_lang1,k7_qc_lang1(A)) -> k6_qc_lang1(B) = A)))) # label(t35_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4679 (all A (m1_subset_1(A,k8_qc_lang1) -> k12_qc_lang1(A) = k7_finseq_1(k9_finseq_1(k4_tarski(np__1,np__0)),k10_qc_lang1(A)))) # label(d14_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4680 $T # label(dt_k5_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4681 (all A (m1_subset_1(A,k8_qc_lang1) -> (v4_qc_lang1(A) <-> (exists B (m1_subset_1(B,k8_qc_lang1) & (exists C (k13_qc_lang1(B,C) = A & m1_subset_1(C,k8_qc_lang1)))))))) # label(d19_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4682 (all A (m1_subset_1(A,k5_numbers) -> (all B (m1_qc_lang1(B,A) -> m2_finseq_1(B,k1_qc_lang1))))) # label(dt_m1_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4683 (all A (m1_subset_1(A,k8_qc_lang1) -> m2_finseq_1(k16_qc_lang1(A),k1_qc_lang1))) # label(dt_k16_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4684 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> a_1_0_qc_lang1(A) = k7_qc_lang1(A))) # label(d7_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4685 (all A all B (m1_subset_1(B,k8_qc_lang1) & m1_subset_1(A,k8_qc_lang1) -> m1_subset_1(k13_qc_lang1(A,B),k8_qc_lang1))) # label(dt_k13_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4686 $T # label(t24_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4687 (all A (r2_hidden(A,a_0_0_qc_lang1) <-> (exists B exists C (A = k4_tarski(B,C) & r1_xreal_0(np__7,B) & m2_subset_1(C,k1_numbers,k5_numbers) & m2_subset_1(B,k1_numbers,k5_numbers))))) # label(fraenkel_a_0_0_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4688 (all A all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r2_hidden(A,a_1_0_qc_lang1(B)) <-> (exists C (m1_subset_1(C,k5_qc_lang1) & k6_qc_lang1(C) = B & A = C))))) # label(fraenkel_a_1_0_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4689 $T # label(t15_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4690 (all A (m2_finseq_1(A,k1_qc_lang1) -> a_1_1_qc_lang1(A) = k22_qc_lang1(A))) # label(d28_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4691 $T # label(t43_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4692 $T # label(t19_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4693 (all A all B (m1_subset_1(B,k8_qc_lang1) -> ((exists C (A = k1_funct_1(k16_qc_lang1(B),C) & r2_hidden(k1_funct_1(k16_qc_lang1(B),C),k2_qc_lang1) & r1_xreal_0(C,k3_finseq_1(k16_qc_lang1(B))) & r1_xreal_0(np__1,C) & m2_subset_1(C,k1_numbers,k5_numbers))) <-> r2_hidden(A,a_1_2_qc_lang1(B))))) # label(fraenkel_a_1_2_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4694 (all A (m1_subset_1(A,k8_qc_lang1) -> -(v5_qc_lang1(A) & v2_qc_lang1(A)) & -(v3_qc_lang1(A) & v5_qc_lang1(A)) & -(v5_qc_lang1(A) & v4_qc_lang1(A)) & -(v4_qc_lang1(A) & v3_qc_lang1(A)) & -(v4_qc_lang1(A) & v2_qc_lang1(A)) & -(v3_qc_lang1(A) & v2_qc_lang1(A)))) # label(t51_qc_lang1_AndRHS_AndRHS_AndRHS_AndRHS) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4695 (all A (m1_subset_1(A,k8_qc_lang1) -> -(A != k11_qc_lang1 & -v2_qc_lang1(A) & -v4_qc_lang1(A) & -v5_qc_lang1(A) & -v3_qc_lang1(A)))) # label(t33_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4696 (all A (m1_subset_1(A,k8_qc_lang1) -> m1_subset_1(k15_qc_lang1(A),k5_qc_lang1))) # label(dt_k15_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4697 (all A (m1_subset_1(A,k8_qc_lang1) -> (v5_qc_lang1(A) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> ((exists C (m1_subset_1(C,k8_qc_lang1) & A = k14_qc_lang1(B,C))) <-> B = k20_qc_lang1(A))))))) # label(d26_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4698 (all A (m1_subset_1(A,k8_qc_lang1) -> (v4_qc_lang1(A) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (k19_qc_lang1(A) = B <-> (exists C (k13_qc_lang1(C,B) = A & m1_subset_1(C,k8_qc_lang1))))))))) # label(d25_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4699 (all A (m1_subset_1(A,k8_qc_lang1) -> (k1_xboole_0 = k24_qc_lang1(A) <-> v6_qc_lang1(A)))) # label(d30_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4700 (all A (m1_subset_1(A,k8_qc_lang1) -> m2_finseq_1(k10_qc_lang1(A),k12_mcart_1(k1_numbers,k1_numbers,k5_numbers,k5_numbers)))) # label(dt_k10_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4701 $T # label(t27_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4702 $T # label(t42_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4703 (all A (m1_subset_1(A,k2_qc_lang1) -> m1_subset_1(k23_qc_lang1(A),k1_zfmisc_1(k2_qc_lang1)))) # label(dt_k23_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4704 $T # label(t29_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4705 (all A (m1_subset_1(A,k8_qc_lang1) -> (v4_qc_lang1(A) -> (all B (m1_subset_1(B,k8_qc_lang1) -> ((exists C (A = k13_qc_lang1(B,C) & m1_subset_1(C,k8_qc_lang1))) <-> k18_qc_lang1(A) = B)))))) # label(d24_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4706 $T # label(t25_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.49	4707 (exists A (v1_funct_2(A,k8_qc_lang1,f1_s3_qc_lang1) & (all B (m1_subset_1(B,k8_qc_lang1) -> (v2_qc_lang1(B) -> k8_funct_2(k8_qc_lang1,f1_s3_qc_lang1,A,B) = f3_s3_qc_lang1(B)) & (v3_qc_lang1(B) -> f4_s3_qc_lang1(k8_funct_2(k8_qc_lang1,f1_s3_qc_lang1,A,k17_qc_lang1(B))) = k8_funct_2(k8_qc_lang1,f1_s3_qc_lang1,A,B)) & (v5_qc_lang1(B) -> k8_funct_2(k8_qc_lang1,f1_s3_qc_lang1,A,B) = f6_s3_qc_lang1(B,k8_funct_2(k8_qc_lang1,f1_s3_qc_lang1,A,k21_qc_lang1(B)))) & (v4_qc_lang1(B) -> k8_funct_2(k8_qc_lang1,f1_s3_qc_lang1,A,B) = f5_s3_qc_lang1(k8_funct_2(k8_qc_lang1,f1_s3_qc_lang1,A,k18_qc_lang1(B)),k8_funct_2(k8_qc_lang1,f1_s3_qc_lang1,A,k19_qc_lang1(B)))))) & f2_s3_qc_lang1 = k8_funct_2(k8_qc_lang1,f1_s3_qc_lang1,A,k11_qc_lang1) & m2_relset_1(A,k8_qc_lang1,f1_s3_qc_lang1) & v1_funct_1(A))) # label(s3_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.50	4708 $T # label(t38_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.50	4709 (all A (m1_subset_1(A,k8_qc_lang1) -> (v2_qc_lang1(A) -> (all B (m2_finseq_1(B,k1_qc_lang1) -> ((exists C ((exists D ((exists E (m1_qc_lang1(E,C) & A = k9_qc_lang1(D,E) & B = E)) & m2_subset_1(D,k5_qc_lang1,k7_qc_lang1(C)))) & m2_subset_1(C,k1_numbers,k5_numbers))) <-> k16_qc_lang1(A) = B)))))) # label(d22_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.50	4710 (all A (m1_subset_1(A,k8_qc_lang1) -> (v2_qc_lang1(A) -> (all B (m1_subset_1(B,k5_qc_lang1) -> ((exists C (m2_subset_1(C,k1_numbers,k5_numbers) & (exists D (m1_qc_lang1(D,C) & (exists E (m2_subset_1(E,k5_qc_lang1,k7_qc_lang1(C)) & k9_qc_lang1(E,D) = A & B = E)))))) <-> B = k15_qc_lang1(A))))))) # label(d21_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.50	4711 (all A (m1_subset_1(A,k8_qc_lang1) -> m1_subset_1(k12_qc_lang1(A),k8_qc_lang1))) # label(dt_k12_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.50	4712 (all A (m1_subset_1(A,k8_qc_lang1) -> m1_subset_1(k19_qc_lang1(A),k8_qc_lang1))) # label(dt_k19_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.50	4713 (all A (m1_subset_1(A,k8_qc_lang1) -> -(r1_xreal_0(k3_finseq_1(k10_qc_lang1(A)),k3_finseq_1(k10_qc_lang1(k21_qc_lang1(A)))) & v5_qc_lang1(A)))) # label(t47_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.50	4714 $T # label(t11_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.50	4715 $T # label(t20_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.50	4716 $T # label(t3_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.50	4717 $T # label(t26_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.50	4718 $T # label(t12_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.50	4719 (all A (v1_qc_lang1(A) <-> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k5_qc_lang1,k7_qc_lang1(B)) -> (all D (m1_qc_lang1(D,B) -> r2_hidden(k7_finseq_1(k12_finseq_1(k7_qc_lang1(B),C),D),A))))))) & r2_hidden(k9_finseq_1(k4_tarski(np__0,np__0)),A) & (all B (m2_finseq_1(B,k12_mcart_1(k1_numbers,k1_numbers,k5_numbers,k5_numbers)) -> (all C (m2_finseq_1(C,k12_mcart_1(k1_numbers,k1_numbers,k5_numbers,k5_numbers)) -> (r2_hidden(C,A) & r2_hidden(B,A) -> r2_hidden(k7_finseq_1(k7_finseq_1(k9_finseq_1(k4_tarski(np__2,np__0)),B),C),A)))))) & (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m2_finseq_1(C,k12_mcart_1(k1_numbers,k1_numbers,k5_numbers,k5_numbers)) -> (r2_hidden(C,A) -> r2_hidden(k7_finseq_1(k7_finseq_1(k9_finseq_1(k4_tarski(np__3,np__0)),k12_finseq_1(k2_qc_lang1,B)),C),A)))))) & (all B (m2_finseq_1(B,k12_mcart_1(k1_numbers,k1_numbers,k5_numbers,k5_numbers)) -> (r2_hidden(B,A) -> r2_hidden(k7_finseq_1(k9_finseq_1(k4_tarski(np__1,np__0)),B),A)))) & m1_subset_1(A,k1_zfmisc_1(k13_finseq_1(k12_mcart_1(k1_numbers,k1_numbers,k5_numbers,k5_numbers)))))) # label(d9_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.50	4720 $T # label(t5_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.50	4721 (all A (m1_subset_1(A,k8_qc_lang1) -> m1_subset_1(k18_qc_lang1(A),k8_qc_lang1))) # label(dt_k18_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.50	4722 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_finseq_1(B,k1_qc_lang1) -> (k3_finseq_1(B) = A <-> m1_qc_lang1(B,A)))))) # label(d8_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.50	4723 (all A (m1_subset_1(A,k8_qc_lang1) -> m1_subset_1(k21_qc_lang1(A),k8_qc_lang1))) # label(dt_k21_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.50	4724 (all A (m1_subset_1(A,k8_qc_lang1) -> (v5_qc_lang1(A) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (k21_qc_lang1(A) = B <-> (exists C (A = k14_qc_lang1(C,B) & m2_subset_1(C,k1_qc_lang1,k2_qc_lang1))))))))) # label(d27_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.50	4725 (all A (m1_subset_1(A,k8_qc_lang1) -> np__0 = k1_mcart_1(k1_funct_1(k10_qc_lang1(k11_qc_lang1),np__1)) & -((all B (m2_subset_1(B,k1_numbers,k5_numbers) -> -m2_subset_1(k1_funct_1(k10_qc_lang1(A),np__1),k5_qc_lang1,k7_qc_lang1(B)))) & v2_qc_lang1(A)) & (v3_qc_lang1(A) -> k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1)) = np__1) & (v4_qc_lang1(A) -> np__2 = k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1))) & (v5_qc_lang1(A) -> k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1)) = np__3))) # label(t49_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.50	4726 (all A (m1_subset_1(A,k5_numbers) -> -v1_xboole_0(k7_qc_lang1(A)))) # label(fc6_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.50	4727 (all A (m1_subset_1(A,k5_qc_lang1) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (k1_nat_1(np__7,B) = k1_mcart_1(A) <-> B = k6_qc_lang1(A)))))) # label(d6_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.50	4728 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (p1_s1_qc_lang1(B) & p1_s1_qc_lang1(A) -> p1_s1_qc_lang1(k13_qc_lang1(A,B))))))) & (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (p1_s1_qc_lang1(B) -> p1_s1_qc_lang1(k14_qc_lang1(A,B))))))) & (all A (m1_subset_1(A,k8_qc_lang1) -> (p1_s1_qc_lang1(A) -> p1_s1_qc_lang1(k12_qc_lang1(A))))) & p1_s1_qc_lang1(k11_qc_lang1) & (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k5_qc_lang1,k7_qc_lang1(A)) -> (all C (m1_qc_lang1(C,A) -> p1_s1_qc_lang1(k9_qc_lang1(B,C)))))))) -> (all A (m1_subset_1(A,k8_qc_lang1) -> p1_s1_qc_lang1(A))) # label(s1_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.50	4729 (all A (-v1_xboole_0(A) -> (all B all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> r1_tarski(k2_zfmisc_1(k1_enumset1(C,D,E),B),k2_zfmisc_1(A,B)))))))))) # label(t2_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.50	4730 (all A (m1_subset_1(A,k5_qc_lang1) -> m2_subset_1(k6_qc_lang1(A),k1_numbers,k5_numbers))) # label(dt_k6_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.50	4731 $T # label(t30_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.50	4732 $T # label(t32_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.50	4733 $T # label(t7_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.50	4734 (all A all B (m1_finseq_1(B,k1_qc_lang1) & m1_subset_1(A,k5_qc_lang1) -> m1_subset_1(k9_qc_lang1(A,B),k8_qc_lang1))) # label(dt_k9_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.50	4735 $T # label(t16_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.50	4736 (all A (m1_subset_1(A,k8_qc_lang1) -> m2_subset_1(k20_qc_lang1(A),k1_qc_lang1,k2_qc_lang1))) # label(dt_k20_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.50	4737 $T # label(t9_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.50	4738 (all A (-v1_xboole_0(A) -> ((all B (-v1_xboole_0(B) -> (v1_qc_lang1(B) -> r1_tarski(A,B)))) & v1_qc_lang1(A) <-> k8_qc_lang1 = A))) # label(d10_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.50	4739 (all A (m1_subset_1(A,k2_qc_lang1) -> k1_tarski(A) = k23_qc_lang1(A))) # label(redefinition_k23_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.50	4740 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k7_finseq_1(k7_finseq_1(k9_finseq_1(k4_tarski(np__3,np__0)),k12_finseq_1(k2_qc_lang1,A)),k10_qc_lang1(B)) = k14_qc_lang1(A,B))))) # label(d16_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.50	4741 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (v1_relat_1(C) & v1_finseq_1(C) & v1_funct_1(C) -> (k10_qc_lang1(A) = k7_finseq_1(k10_qc_lang1(B),C) -> k10_qc_lang1(B) = k10_qc_lang1(A)))))))) # label(t37_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.50	4742 $T # label(t13_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.50	4743 $T # label(dt_k1_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.50	4744 (all A (m1_subset_1(A,k8_qc_lang1) -> p1_s2_qc_lang1(k11_qc_lang1) & (v3_qc_lang1(A) & p1_s2_qc_lang1(k17_qc_lang1(A)) -> p1_s2_qc_lang1(A)) & (p1_s2_qc_lang1(k21_qc_lang1(A)) & v5_qc_lang1(A) -> p1_s2_qc_lang1(A)) & (v4_qc_lang1(A) & p1_s2_qc_lang1(k19_qc_lang1(A)) & p1_s2_qc_lang1(k18_qc_lang1(A)) -> p1_s2_qc_lang1(A)) & (v2_qc_lang1(A) -> p1_s2_qc_lang1(A)))) -> (all A (m1_subset_1(A,k8_qc_lang1) -> p1_s2_qc_lang1(A))) # label(s2_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4745 (all A (m1_subset_1(A,k8_qc_lang1) -> -(r1_xreal_0(k3_finseq_1(k10_qc_lang1(A)),k3_finseq_1(k10_qc_lang1(k17_qc_lang1(A)))) & v3_qc_lang1(A)))) # label(t45_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4746 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k5_qc_lang1,k7_qc_lang1(A)) -> (all C (m1_qc_lang1(C,A) -> k9_qc_lang1(B,C) = k7_finseq_1(k12_finseq_1(k7_qc_lang1(A),B),C))))))) # label(t23_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4747 (all A (m1_subset_1(A,k8_qc_lang1) -> (v2_qc_lang1(A) -> k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1)) != np__1 & np__2 != k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1)) & k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1)) != np__3 & k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1)) != np__0))) # label(t50_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4748 $T # label(t39_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4749 $T # label(t14_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4750 (all A (m1_subset_1(A,k8_qc_lang1) -> ((exists B (A = k12_qc_lang1(B) & m1_subset_1(B,k8_qc_lang1))) <-> v3_qc_lang1(A)))) # label(d18_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4751 $T # label(t44_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4752 (all A (m1_subset_1(A,k8_qc_lang1) -> (np__0 = k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1)) -> A = k11_qc_lang1) & (np__2 = k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1)) -> v4_qc_lang1(A)) & (np__3 = k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1)) -> v5_qc_lang1(A)) & ((exists B (m2_subset_1(B,k1_numbers,k5_numbers) & m2_subset_1(k1_funct_1(k10_qc_lang1(A),np__1),k5_qc_lang1,k7_qc_lang1(B)))) -> v2_qc_lang1(A)) & (k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1)) = np__1 -> v3_qc_lang1(A)))) # label(t36_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4753 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k12_qc_lang1(k13_qc_lang1(A,k12_qc_lang1(B))) = k2_qc_lang2(A,B))))) # label(d2_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4754 $T # label(t10_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4755 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (r2_qc_lang2(k12_qc_lang1(A),B) -> r3_qc_lang2(A,B)))))) # label(t87_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4756 $T # label(t12_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4757 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k14_qc_lang1(A,k12_qc_lang1(B)) = k17_qc_lang1(k5_qc_lang2(A,B)))))) # label(t48_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4758 $T # label(t35_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4759 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (all D (m1_subset_1(D,k8_qc_lang1) -> (all E (m1_subset_1(E,k8_qc_lang1) -> (all F (m2_subset_1(F,k1_qc_lang1,k2_qc_lang1) -> (k14_qc_lang1(F,E) = k8_qc_lang2(A,B,C,D) -> A = F & E = k6_qc_lang2(B,C,D)))))))))))))) # label(t28_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4760 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (all D (m2_subset_1(D,k1_qc_lang1,k2_qc_lang1) -> (all E (m2_subset_1(E,k1_qc_lang1,k2_qc_lang1) -> (all F (m2_subset_1(F,k1_qc_lang1,k2_qc_lang1) -> (k6_qc_lang2(D,F,B) = k6_qc_lang2(C,E,A) -> E = F & A = B & C = D))))))))))))) # label(t21_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4761 (all A (m1_subset_1(A,k8_qc_lang1) -> (r3_qc_lang2(A,k1_qc_lang2) <-> r2_qc_lang2(A,k11_qc_lang1)))) # label(t88_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4762 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k19_qc_lang1(k13_qc_lang1(A,B)) = B & k18_qc_lang1(k13_qc_lang1(A,B)) = A)))) # label(t5_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4763 $T # label(t44_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4764 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> ((exists C (m2_subset_1(C,k1_numbers,k5_numbers) & (exists D (v1_relat_1(D) & v1_funct_1(D) & r1_xreal_0(np__1,C) & (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> -((all F (m1_subset_1(F,k8_qc_lang1) -> (all G (m1_subset_1(G,k8_qc_lang1) -> -(r1_qc_lang2(F,G) & k1_funct_1(D,k1_nat_1(E,np__1)) = G & k1_funct_1(D,E) = F))))) & -r1_xreal_0(C,E) & r1_xreal_0(np__1,E)))) & k1_funct_1(D,C) = B & A = k1_funct_1(D,np__1) & k3_finseq_1(D) = C & v1_finseq_1(D))))) <-> r2_qc_lang2(A,B)))))) # label(d21_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4765 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (all D (m1_subset_1(D,k8_qc_lang1) -> k9_qc_lang2(A,B,C,D) = k5_qc_lang2(A,k7_qc_lang2(B,C,D)) & k8_qc_lang2(A,B,C,D) = k14_qc_lang1(A,k6_qc_lang2(B,C,D)))))))))) # label(t26_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4766 $T # label(t70_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4767 (all A all B all C all D (m1_subset_1(A,k2_qc_lang1) & m1_subset_1(B,k2_qc_lang1) & m1_subset_1(D,k8_qc_lang1) & m1_subset_1(C,k2_qc_lang1) -> m1_subset_1(k8_qc_lang2(A,B,C,D),k8_qc_lang1))) # label(dt_k8_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4768 (all A (m1_subset_1(A,k8_qc_lang1) -> (r2_qc_lang2(A,k11_qc_lang1) <-> A = k11_qc_lang1))) # label(t99_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4769 (all A (m1_subset_1(A,k8_qc_lang1) -> -r3_qc_lang2(A,k11_qc_lang1))) # label(t84_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4770 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (r3_qc_lang2(A,k12_qc_lang1(B)) <-> r2_qc_lang2(A,B)))))) # label(t86_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4771 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k15_qc_lang2(k3_qc_lang2(A,B)) = k2_xboole_0(k2_xboole_0(k15_qc_lang2(A),k15_qc_lang2(B)),k2_enumset1(k12_qc_lang1(B),k12_qc_lang1(A),k13_qc_lang1(k12_qc_lang1(A),k12_qc_lang1(B)),k3_qc_lang2(A,B))))))) # label(t114_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4772 (all A (m1_subset_1(A,k8_qc_lang1) -> (v4_qc_lang1(A) -> r3_qc_lang2(k19_qc_lang1(A),A) & r3_qc_lang2(k18_qc_lang1(A),A)))) # label(t97_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4773 (all A (m1_subset_1(A,k8_qc_lang1) -> (v1_qc_lang2(A) -> v3_qc_lang1(A) & v4_qc_lang1(k17_qc_lang1(A)) & v3_qc_lang1(k18_qc_lang1(k17_qc_lang1(A))) & v3_qc_lang1(k19_qc_lang1(k17_qc_lang1(A))) & v2_qc_lang2(A)))) # label(t49_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4774 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> -(r2_qc_lang2(A,B) & r1_qc_lang2(B,A)))))) # label(t81_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4775 (all A (m1_subset_1(A,k8_qc_lang1) -> (v2_qc_lang2(A) -> A = k2_qc_lang2(k12_qc_lang2(A),k11_qc_lang2(A))))) # label(t54_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4776 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> (r2_qc_lang2(A,B) & r2_qc_lang2(B,C) -> r2_qc_lang2(A,C)))))))) # label(t77_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4777 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> (all D (m1_subset_1(D,k8_qc_lang1) -> (k3_qc_lang2(C,D) = k3_qc_lang2(A,B) -> B = D & C = A))))))))) # label(t16_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4778 (all A all B (m1_subset_1(A,k8_qc_lang1) & m1_subset_1(B,k8_qc_lang1) -> m1_subset_1(k3_qc_lang2(A,B),k8_qc_lang1))) # label(dt_k3_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4779 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> (-(-(r2_qc_lang2(B,C) & r3_qc_lang2(A,B)) & -(r1_qc_lang2(B,C) & r2_qc_lang2(A,B)) & -(r1_qc_lang2(B,C) & r3_qc_lang2(A,B)) & -(r3_qc_lang2(B,C) & r1_qc_lang2(A,B)) & -(r2_qc_lang2(B,C) & r1_qc_lang2(A,B)) & -(r3_qc_lang2(B,C) & r2_qc_lang2(A,B))) -> r3_qc_lang2(A,C)))))))) # label(t83_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4780 (all A all B (m1_subset_1(B,k8_qc_lang1) & m1_subset_1(A,k8_qc_lang1) -> m1_subset_1(k4_qc_lang2(A,B),k8_qc_lang1))) # label(dt_k4_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4781 (all A (m1_subset_1(A,k8_qc_lang1) -> (v4_qc_lang2(A) -> v3_qc_lang1(A) & v3_qc_lang1(k21_qc_lang1(k17_qc_lang1(A))) & v5_qc_lang1(k17_qc_lang1(A))))) # label(t52_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4782 (all A (m1_subset_1(A,k8_qc_lang1) -> (k15_qc_lang2(A) = k1_tarski(A) <-> A = k11_qc_lang1 | v2_qc_lang1(A)))) # label(t116_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4783 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (B = k15_qc_lang2(A) <-> (all C (r2_hidden(C,B) <-> (exists D (m1_subset_1(D,k8_qc_lang1) & r2_qc_lang2(D,A) & D = C)))))))) # label(d23_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4784 $T # label(t43_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4785 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> (r2_hidden(B,k15_qc_lang2(C)) -> r2_hidden(A,k15_qc_lang2(C)) | -r1_qc_lang2(A,B) & -r2_qc_lang2(A,B) & -r3_qc_lang2(A,B)))))))) # label(t120_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4786 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> -(r1_xreal_0(k3_finseq_1(k10_qc_lang1(B)),k3_finseq_1(k10_qc_lang1(A))) & r3_qc_lang2(A,B)))))) # label(t74_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4787 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> (r3_qc_lang2(A,B) & r3_qc_lang2(B,C) -> r3_qc_lang2(A,C)))))))) # label(t76_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4788 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> -(r1_xreal_0(k3_finseq_1(k10_qc_lang1(B)),k3_finseq_1(k10_qc_lang1(A))) & r1_qc_lang2(A,B)))))) # label(t71_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4789 (all A (m1_subset_1(A,k8_qc_lang1) -> (v5_qc_lang1(A) -> r3_qc_lang2(k21_qc_lang1(A),A)))) # label(t98_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4790 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k5_qc_lang1,k7_qc_lang1(A)) -> (all C (m1_qc_lang1(C,A) -> k1_tarski(k9_qc_lang1(B,C)) = k15_qc_lang2(k9_qc_lang1(B,C)))))))) # label(t108_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4791 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> v5_qc_lang1(k6_qc_lang2(A,B,C)) & k21_qc_lang1(k6_qc_lang2(A,B,C)) = k14_qc_lang1(B,C) & k20_qc_lang1(k6_qc_lang2(A,B,C)) = A)))))) # label(t25_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4792 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k12_qc_lang1(k13_qc_lang1(k12_qc_lang1(A),k12_qc_lang1(B))) = k3_qc_lang2(A,B))))) # label(d3_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4793 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (v4_qc_lang1(A) -> (B = k18_qc_lang1(A) | B = k19_qc_lang1(A) <-> r1_qc_lang2(B,A))))))) # label(t66_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4794 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> -(r3_qc_lang2(A,B) & (all C (m1_subset_1(C,k8_qc_lang1) -> -r1_qc_lang2(C,B)))))))) # label(t75_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4795 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (r3_qc_lang2(A,k14_qc_lang1(C,B)) <-> r2_qc_lang2(A,B)))))))) # label(t91_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4796 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (B = A <-> r1_qc_lang2(A,k14_qc_lang1(C,B))))))))) # label(t63_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4797 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (B = A <-> r1_qc_lang2(A,k12_qc_lang1(B))))))) # label(t60_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4798 (all A (m1_subset_1(A,k8_qc_lang1) -> m1_subset_1(k13_qc_lang2(A),k8_qc_lang1))) # label(dt_k13_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4799 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k5_qc_lang1,k7_qc_lang1(B)) -> (all D (m1_qc_lang1(D,B) -> -r3_qc_lang2(A,k9_qc_lang1(C,D)))))))))) # label(t85_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4800 (all A (m1_subset_1(A,k8_qc_lang1) -> k2_xboole_0(k15_qc_lang2(A),k1_tarski(k12_qc_lang1(A))) = k15_qc_lang2(k12_qc_lang1(A)))) # label(t110_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4801 $T # label(t102_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4802 $T # label(t106_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4803 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k10_qc_lang2(k3_qc_lang2(A,B)) = A & B = k11_qc_lang2(k3_qc_lang2(A,B)) & k17_qc_lang1(k3_qc_lang2(A,B)) = k13_qc_lang1(k12_qc_lang1(A),k12_qc_lang1(B)))))) # label(t45_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4804 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (r2_qc_lang2(k14_qc_lang1(C,A),B) -> r3_qc_lang2(A,B)))))))) # label(t92_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4805 (all A (m1_subset_1(A,k8_qc_lang1) -> (v3_qc_lang1(A) -> k15_qc_lang2(A) = k2_xboole_0(k15_qc_lang2(k17_qc_lang1(A)),k1_tarski(A))))) # label(t117_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4806 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (all D (m1_subset_1(D,k8_qc_lang1) -> (all E (m1_subset_1(E,k8_qc_lang1) -> (all F (m2_subset_1(F,k1_qc_lang1,k2_qc_lang1) -> (k9_qc_lang2(A,B,C,D) = k5_qc_lang2(F,E) -> k7_qc_lang2(B,C,D) = E & A = F))))))))))))) # label(t31_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4807 (all A (m1_subset_1(A,k8_qc_lang1) -> k18_qc_lang1(k17_qc_lang1(A)) = k12_qc_lang2(A))) # label(d16_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4808 $T # label(t9_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4809 (all A (m1_subset_1(A,k8_qc_lang1) -> ((exists B ((exists C (A = k4_qc_lang2(B,C) & m1_subset_1(C,k8_qc_lang1))) & m1_subset_1(B,k8_qc_lang1))) <-> v3_qc_lang2(A)))) # label(d12_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4810 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> (all D (m1_subset_1(D,k8_qc_lang1) -> (k14_qc_lang1(A,C) = k14_qc_lang1(B,D) -> B = A & C = D))))))))) # label(t6_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4811 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> k2_xboole_0(k15_qc_lang2(A),k1_tarski(k14_qc_lang1(B,A))) = k15_qc_lang2(k14_qc_lang1(B,A)))))) # label(t112_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4812 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> (r2_qc_lang2(k13_qc_lang1(A,B),C) -> r3_qc_lang2(A,C) & r3_qc_lang2(B,C)))))))) # label(t90_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4813 (all A (m1_subset_1(A,k8_qc_lang1) -> (v3_qc_lang1(A) -> r3_qc_lang2(k17_qc_lang1(A),A)))) # label(t96_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4814 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (all D (m1_subset_1(D,k8_qc_lang1) -> (all E (m1_subset_1(E,k8_qc_lang1) -> (k5_qc_lang2(C,E) = k7_qc_lang2(A,B,D) -> A = C & k5_qc_lang2(B,D) = E))))))))))) # label(t24_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4815 $T # label(t37_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4816 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (v5_qc_lang1(A) -> (B = k21_qc_lang1(A) <-> r1_qc_lang2(B,A))))))) # label(t67_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4817 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (all D (m1_subset_1(D,k8_qc_lang1) -> v4_qc_lang2(k9_qc_lang2(A,B,C,D)) & v4_qc_lang2(k7_qc_lang2(A,B,D)))))))))) # label(t38_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4818 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (r1_qc_lang2(A,B) <-> -(k12_qc_lang1(A) != B & (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> k14_qc_lang1(C,A) != B)) & (all C (m1_subset_1(C,k8_qc_lang1) -> k13_qc_lang1(C,A) != B & B != k13_qc_lang1(A,C))))))))) # label(d20_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4819 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k3_qc_lang2(A,B) = k2_qc_lang2(k12_qc_lang1(A),B))))) # label(t14_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4820 (all A all B (m1_subset_1(B,k8_qc_lang1) & m1_subset_1(A,k8_qc_lang1) -> m1_subset_1(k2_qc_lang2(A,B),k8_qc_lang1))) # label(dt_k2_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4821 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k12_qc_lang1(k14_qc_lang1(A,k12_qc_lang1(B))) = k5_qc_lang2(A,B))))) # label(d5_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4822 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (all D (m1_subset_1(D,k8_qc_lang1) -> (all E (m1_subset_1(E,k8_qc_lang1) -> (all F (m2_subset_1(F,k1_qc_lang1,k2_qc_lang1) -> (all G (m2_subset_1(G,k1_qc_lang1,k2_qc_lang1) -> (k9_qc_lang2(A,B,C,D) = k7_qc_lang2(F,G,E) -> F = A & E = k5_qc_lang2(C,D) & G = B))))))))))))))) # label(t32_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4823 (all A (m1_subset_1(A,k8_qc_lang1) -> (v3_qc_lang2(A) -> v4_qc_lang1(A) & v2_qc_lang2(k18_qc_lang1(A)) & v2_qc_lang2(k19_qc_lang1(A))))) # label(t51_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4824 $T # label(t68_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4825 $T # label(t69_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4826 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> (B = A | A = C <-> r1_qc_lang2(A,k13_qc_lang1(B,C))))))))) # label(t62_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4827 (all A (m1_subset_1(A,k8_qc_lang1) -> k17_qc_lang1(k18_qc_lang1(k17_qc_lang1(A))) = k10_qc_lang2(A))) # label(d14_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4828 (all A all B (m1_subset_1(A,k8_qc_lang1) & m1_subset_1(B,k8_qc_lang1) -> r2_qc_lang2(A,A))) # label(reflexivity_r2_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4829 (all A (m1_subset_1(A,k8_qc_lang1) -> (v2_qc_lang2(A) <-> (exists B ((exists C (k2_qc_lang2(B,C) = A & m1_subset_1(C,k8_qc_lang1))) & m1_subset_1(B,k8_qc_lang1)))))) # label(d11_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4830 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (all D (m2_subset_1(D,k1_qc_lang1,k2_qc_lang1) -> (all E (m2_subset_1(E,k1_qc_lang1,k2_qc_lang1) -> (all F (m2_subset_1(F,k1_qc_lang1,k2_qc_lang1) -> (all G (m2_subset_1(G,k1_qc_lang1,k2_qc_lang1) -> (all H (m2_subset_1(H,k1_qc_lang1,k2_qc_lang1) -> (k8_qc_lang2(C,E,G,A) = k8_qc_lang2(D,F,H,B) -> D = C & H = G & A = B & F = E))))))))))))))))) # label(t27_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4831 (all A (m1_subset_1(A,k8_qc_lang1) -> (v4_qc_lang2(A) -> k5_qc_lang2(k20_qc_lang1(k17_qc_lang1(A)),k17_qc_lang1(k21_qc_lang1(k17_qc_lang1(A)))) = A))) # label(t56_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4832 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (r2_qc_lang2(A,B) -> r1_tarski(k15_qc_lang2(A),k15_qc_lang2(B))))))) # label(t104_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4833 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> -(r3_qc_lang2(A,B) & r1_qc_lang2(B,A)))))) # label(t82_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4834 $T # label(t11_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4835 (all A (m1_subset_1(A,k8_qc_lang1) -> (v4_qc_lang1(A) -> k13_qc_lang1(k18_qc_lang1(A),k19_qc_lang1(A)) = A))) # label(t4_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4836 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> (all D (m1_subset_1(D,k8_qc_lang1) -> (k13_qc_lang1(C,D) = k13_qc_lang1(A,B) -> C = A & B = D))))))))) # label(t3_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4837 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> A = k13_qc_lang2(k4_qc_lang2(A,B)) & k2_qc_lang2(B,A) = k19_qc_lang1(k4_qc_lang2(A,B)) & k18_qc_lang1(k4_qc_lang2(A,B)) = k2_qc_lang2(A,B) & k14_qc_lang2(k4_qc_lang2(A,B)) = B)))) # label(t47_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4838 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (all D (m2_subset_1(D,k1_qc_lang1,k2_qc_lang1) -> (all E (m2_subset_1(E,k1_qc_lang1,k2_qc_lang1) -> (all F (m2_subset_1(F,k1_qc_lang1,k2_qc_lang1) -> (k7_qc_lang2(D,F,B) = k7_qc_lang2(C,E,A) -> D = C & E = F & B = A))))))))))))) # label(t23_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4839 (all A (m1_subset_1(A,k8_qc_lang1) -> k17_qc_lang1(k19_qc_lang1(k17_qc_lang1(A))) = k11_qc_lang2(A))) # label(d15_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4840 $T # label(d17_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4841 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> -(r3_qc_lang2(B,A) & v2_qc_lang1(A)))))) # label(t95_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4842 $T # label(t42_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4843 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k12_qc_lang2(k2_qc_lang2(A,B)) = A & k13_qc_lang1(A,k12_qc_lang1(B)) = k17_qc_lang1(k2_qc_lang2(A,B)) & B = k11_qc_lang2(k2_qc_lang2(A,B)))))) # label(t46_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4844 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> -(r1_qc_lang2(B,A) & v2_qc_lang1(A)))))) # label(t64_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4845 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k5_qc_lang1,k7_qc_lang1(B)) -> (all D (m1_qc_lang1(D,B) -> (r2_qc_lang2(A,k9_qc_lang1(C,D)) <-> k9_qc_lang1(C,D) = A))))))))) # label(t100_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4846 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> r3_qc_lang2(k13_qc_lang1(A,k12_qc_lang1(B)),k2_qc_lang2(A,B)) & r3_qc_lang2(A,k2_qc_lang2(A,B)) & r3_qc_lang2(B,k2_qc_lang2(A,B)) & r3_qc_lang2(k12_qc_lang1(B),k2_qc_lang2(A,B)))))) # label(t93_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4847 $T # label(t41_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4848 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (r2_hidden(A,k15_qc_lang2(B)) -> r1_tarski(k15_qc_lang2(A),k15_qc_lang2(B))))))) # label(t105_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4849 (all A all B (m1_subset_1(B,k8_qc_lang1) & m1_subset_1(A,k8_qc_lang1) -> -r3_qc_lang2(A,A))) # label(irreflexivity_r3_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4850 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (k12_qc_lang1(A) = k12_qc_lang1(B) -> A = B))))) # label(t1_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4851 (all A all B all C (m1_subset_1(C,k8_qc_lang1) & m1_subset_1(B,k2_qc_lang1) & m1_subset_1(A,k2_qc_lang1) -> m1_subset_1(k7_qc_lang2(A,B,C),k8_qc_lang1))) # label(dt_k7_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4852 (all A (m1_subset_1(A,k8_qc_lang1) -> k13_qc_lang2(A) = k12_qc_lang2(k18_qc_lang1(A)))) # label(d18_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4853 (all A (m1_subset_1(A,k8_qc_lang1) -> (v2_qc_lang2(A) -> v4_qc_lang1(k17_qc_lang1(A)) & v3_qc_lang1(k19_qc_lang1(k17_qc_lang1(A))) & v3_qc_lang1(A)))) # label(t50_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4854 (all A (m1_subset_1(A,k8_qc_lang1) -> m1_subset_1(k12_qc_lang2(A),k8_qc_lang1))) # label(dt_k12_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4855 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k2_xboole_0(k2_xboole_0(k15_qc_lang2(A),k15_qc_lang2(B)),k5_enumset1(k12_qc_lang1(B),k13_qc_lang1(A,k12_qc_lang1(B)),k2_qc_lang2(A,B),k12_qc_lang1(A),k13_qc_lang1(B,k12_qc_lang1(A)),k2_qc_lang2(B,A),k4_qc_lang2(A,B))) = k15_qc_lang2(k4_qc_lang2(A,B)))))) # label(t115_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4856 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (all D (m1_subset_1(D,k8_qc_lang1) -> k6_qc_lang2(B,C,D) = k21_qc_lang1(k8_qc_lang2(A,B,C,D)) & k20_qc_lang1(k8_qc_lang2(A,B,C,D)) = A & v5_qc_lang1(k8_qc_lang2(A,B,C,D)))))))))) # label(t33_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4857 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (all D (m1_subset_1(D,k8_qc_lang1) -> k9_qc_lang2(A,B,C,D) = k5_qc_lang2(A,k7_qc_lang2(B,C,D)))))))))) # label(d9_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4858 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (all D (m2_subset_1(D,k1_qc_lang1,k2_qc_lang1) -> (all E (m2_subset_1(E,k1_qc_lang1,k2_qc_lang1) -> (all F (m2_subset_1(F,k1_qc_lang1,k2_qc_lang1) -> (all G (m2_subset_1(G,k1_qc_lang1,k2_qc_lang1) -> (all H (m2_subset_1(H,k1_qc_lang1,k2_qc_lang1) -> (k9_qc_lang2(D,F,H,B) = k9_qc_lang2(C,E,G,A) -> C = D & F = E & H = G & B = A))))))))))))))))) # label(t30_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4859 (all A all B (m1_subset_1(A,k2_qc_lang1) & m1_subset_1(B,k8_qc_lang1) -> m1_subset_1(k5_qc_lang2(A,B),k8_qc_lang1))) # label(dt_k5_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4860 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k2_xboole_0(k2_xboole_0(k15_qc_lang2(A),k15_qc_lang2(B)),k1_tarski(k13_qc_lang1(A,B))) = k15_qc_lang2(k13_qc_lang1(A,B)))))) # label(t111_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4861 $T # label(t34_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4862 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k15_qc_lang2(k2_qc_lang2(A,B)) = k2_xboole_0(k2_xboole_0(k15_qc_lang2(A),k15_qc_lang2(B)),k1_enumset1(k12_qc_lang1(B),k13_qc_lang1(A,k12_qc_lang1(B)),k2_qc_lang2(A,B))))))) # label(t113_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4863 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (v3_qc_lang1(A) -> (r1_qc_lang2(B,A) <-> B = k17_qc_lang1(A))))))) # label(t65_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4864 $T # label(dt_k15_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4865 (all A (m1_subset_1(A,k8_qc_lang1) -> (k11_qc_lang1 = A <-> r1_qc_lang2(A,k1_qc_lang2)))) # label(t61_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4866 $T # label(t39_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4867 (all A (m1_subset_1(A,k8_qc_lang1) -> (v3_qc_lang2(A) -> A = k4_qc_lang2(k13_qc_lang2(A),k14_qc_lang2(A))))) # label(t55_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4868 (all A (m1_subset_1(A,k8_qc_lang1) -> k17_qc_lang1(k12_qc_lang1(A)) = A)) # label(t2_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4869 (all A (m1_subset_1(A,k8_qc_lang1) -> ((exists B ((exists C (A = k5_qc_lang2(B,C) & m1_subset_1(C,k8_qc_lang1))) & m2_subset_1(B,k1_qc_lang1,k2_qc_lang1))) <-> v4_qc_lang2(A)))) # label(d13_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4870 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> (r2_qc_lang2(A,B) | r2_qc_lang2(A,C) <-> r3_qc_lang2(A,k13_qc_lang1(B,C))))))))) # label(t89_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4871 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> r3_qc_lang2(B,k3_qc_lang2(A,B)) & r3_qc_lang2(A,k3_qc_lang2(A,B)) & r3_qc_lang2(k12_qc_lang1(B),k3_qc_lang2(A,B)) & r3_qc_lang2(k12_qc_lang1(A),k3_qc_lang2(A,B)) & r3_qc_lang2(k13_qc_lang1(k12_qc_lang1(A),k12_qc_lang1(B)),k3_qc_lang2(A,B)))))) # label(t94_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4872 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k13_qc_lang1(k2_qc_lang2(A,B),k2_qc_lang2(B,A)) = k4_qc_lang2(A,B))))) # label(d4_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4873 $T # label(t40_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4874 (all A (m1_subset_1(A,k8_qc_lang1) -> (v4_qc_lang1(A) -> k2_xboole_0(k2_xboole_0(k15_qc_lang2(k18_qc_lang1(A)),k15_qc_lang2(k19_qc_lang1(A))),k1_tarski(A)) = k15_qc_lang2(A)))) # label(t118_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4875 (all A all B all C (m1_subset_1(C,k8_qc_lang1) & m1_subset_1(B,k2_qc_lang1) & m1_subset_1(A,k2_qc_lang1) -> m1_subset_1(k6_qc_lang2(A,B,C),k8_qc_lang1))) # label(dt_k6_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4876 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (all D (m1_subset_1(D,k8_qc_lang1) -> (all E (m1_subset_1(E,k8_qc_lang1) -> (all F (m2_subset_1(F,k1_qc_lang1,k2_qc_lang1) -> (all G (m2_subset_1(G,k1_qc_lang1,k2_qc_lang1) -> (k6_qc_lang2(F,G,E) = k8_qc_lang2(A,B,C,D) -> B = G & E = k14_qc_lang1(C,D) & F = A))))))))))))))) # label(t29_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4877 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (all D (m1_subset_1(D,k8_qc_lang1) -> k8_qc_lang2(A,B,C,D) = k14_qc_lang1(A,k6_qc_lang2(B,C,D)))))))))) # label(d8_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4878 (all A all B all C all D (m1_subset_1(A,k2_qc_lang1) & m1_subset_1(B,k2_qc_lang1) & m1_subset_1(D,k8_qc_lang1) & m1_subset_1(C,k2_qc_lang1) -> m1_subset_1(k9_qc_lang2(A,B,C,D),k8_qc_lang1))) # label(dt_k9_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4879 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (r1_qc_lang2(A,B) -> r3_qc_lang2(A,B)))))) # label(t73_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4880 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> (all D (m1_subset_1(D,k8_qc_lang1) -> (k5_qc_lang2(A,C) = k5_qc_lang2(B,D) -> C = D & B = A))))))))) # label(t19_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4881 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k5_qc_lang1,k7_qc_lang1(B)) -> (all D (m1_qc_lang1(D,B) -> -r1_qc_lang2(A,k9_qc_lang1(C,D)))))))))) # label(t59_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4882 (all A (m1_subset_1(A,k8_qc_lang1) -> (v1_qc_lang2(A) -> k3_qc_lang2(k10_qc_lang2(A),k11_qc_lang2(A)) = A))) # label(t53_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4883 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (r2_qc_lang2(A,B) & B != A <-> r3_qc_lang2(A,B)))))) # label(d22_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4884 (all A (m1_subset_1(A,k8_qc_lang1) -> (v5_qc_lang1(A) -> k14_qc_lang1(k20_qc_lang1(A),k21_qc_lang1(A)) = A))) # label(t7_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4885 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> (all D (m1_subset_1(D,k8_qc_lang1) -> (k4_qc_lang2(A,B) = k4_qc_lang2(C,D) -> B = D & A = C))))))))) # label(t18_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4886 (all A (m1_subset_1(A,k8_qc_lang1) -> m1_subset_1(k14_qc_lang2(A),k8_qc_lang1))) # label(dt_k14_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4887 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k20_qc_lang1(k14_qc_lang1(A,B)) = A & k21_qc_lang1(k14_qc_lang1(A,B)) = B)))) # label(t8_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4888 $T # label(t57_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4889 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (r2_hidden(A,k15_qc_lang2(B)) -> r2_qc_lang2(A,B)))))) # label(t103_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4890 (all A (m1_subset_1(A,k8_qc_lang1) -> m1_subset_1(k10_qc_lang2(A),k8_qc_lang1))) # label(dt_k10_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4891 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> -(r3_qc_lang2(A,B) & r2_qc_lang2(B,A)))))) # label(t79_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4892 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> k6_qc_lang2(A,B,C) = k14_qc_lang1(A,k14_qc_lang1(B,C)))))))) # label(d6_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4893 (all A (m1_subset_1(A,k8_qc_lang1) -> (v1_qc_lang2(A) <-> (exists B (m1_subset_1(B,k8_qc_lang1) & (exists C (A = k3_qc_lang2(B,C) & m1_subset_1(C,k8_qc_lang1)))))))) # label(d10_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4894 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> k7_qc_lang2(A,B,C) = k5_qc_lang2(A,k5_qc_lang2(B,C)))))))) # label(d7_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4895 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> k14_qc_lang1(A,k14_qc_lang1(B,C)) = k6_qc_lang2(A,B,C) & k7_qc_lang2(A,B,C) = k5_qc_lang2(A,k5_qc_lang2(B,C)))))))) # label(t20_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4896 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (r1_qc_lang2(A,B) -> r2_qc_lang2(A,B)))))) # label(t72_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4897 (all A (m1_subset_1(A,k8_qc_lang1) -> m1_subset_1(k11_qc_lang2(A),k8_qc_lang1))) # label(dt_k11_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4898 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> -(r3_qc_lang2(B,A) & r3_qc_lang2(A,B)))))) # label(t80_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4899 (all A (m1_subset_1(A,k8_qc_lang1) -> (r2_qc_lang2(A,k1_qc_lang2) <-> A = k11_qc_lang1 | k1_qc_lang2 = A))) # label(t101_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4900 (all A (m1_subset_1(A,k8_qc_lang1) -> (v5_qc_lang1(A) -> k15_qc_lang2(A) = k2_xboole_0(k15_qc_lang2(k21_qc_lang1(A)),k1_tarski(A))))) # label(t119_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4901 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> (all D (m1_subset_1(D,k8_qc_lang1) -> (k2_qc_lang2(A,B) = k2_qc_lang2(C,D) -> C = A & D = B))))))))) # label(t17_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4902 (all A (m1_subset_1(A,k8_qc_lang1) -> -r1_qc_lang2(A,k11_qc_lang1))) # label(t58_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4903 $T # label(t36_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4904 $T # label(t15_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4905 (all A (m1_subset_1(A,k8_qc_lang1) -> k11_qc_lang2(k18_qc_lang1(A)) = k14_qc_lang2(A))) # label(d19_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4906 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (r2_qc_lang2(B,A) & r2_qc_lang2(A,B) -> B = A))))) # label(t78_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4907 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (all D (m1_subset_1(D,k8_qc_lang1) -> (all E (m1_subset_1(E,k8_qc_lang1) -> (k14_qc_lang1(C,E) = k6_qc_lang2(A,B,D) -> C = A & k14_qc_lang1(B,D) = E))))))))))) # label(t22_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4908 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> k9_cqc_lang = k17_cqc_lang(k9_cqc_lang,A))) # label(t28_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4909 (all A all B all C (m1_subset_1(A,k5_numbers) & m1_subset_1(B,k7_qc_lang1(A)) & m1_qc_lang1(C,A) & v1_cqc_lang(C,A) -> m2_subset_1(k8_cqc_lang(A,B,C),k8_qc_lang1,k7_cqc_lang))) # label(dt_k8_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4910 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (v5_qc_lang1(B) -> k20_qc_lang1(B) = A | k17_cqc_lang(B,A) = k14_qc_lang1(k20_qc_lang1(B),k17_cqc_lang(k21_qc_lang1(B),A))))))) # label(t36_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4911 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (v2_qc_lang1(B) -> k9_qc_lang1(k15_qc_lang1(B),k4_cqc_lang(k16_qc_lang1(B),k6_cqc_lang(k3_qc_lang3(np__0),A))) = k17_cqc_lang(B,A)))))) # label(t29_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4912 $T # label(t9_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4913 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m1_qc_lang1(B,A) -> (v1_cqc_lang(B,A) & m1_qc_lang1(B,A) <-> a_2_1_cqc_lang(A,B) = k1_xboole_0 & a_2_0_cqc_lang(A,B) = k1_xboole_0))))) # label(t15_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4914 (all A all B k3_cqc_lang(A,B) = k2_funcop_1(k1_tarski(A),B)) # label(d2_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4915 $T # label(t1_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4916 $T # label(t14_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4917 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> k17_cqc_lang(k13_qc_lang1(B,C),A) = k13_qc_lang1(k17_cqc_lang(B,A),k17_cqc_lang(C,A)))))))) # label(t34_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4918 (all A all B (m1_subset_1(B,k7_cqc_lang) & m1_subset_1(A,k2_qc_lang1) -> k15_cqc_lang(A,B) = k14_qc_lang1(A,B))) # label(redefinition_k15_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4919 (all A all B (v1_relat_1(k3_cqc_lang(A,B)) & v1_funct_1(k3_cqc_lang(A,B)))) # label(fc1_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4920 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k14_qc_lang1(A,B) = k17_cqc_lang(k14_qc_lang1(A,B),A))))) # label(t37_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4921 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (m2_subset_1(k13_qc_lang1(A,B),k8_qc_lang1,k7_cqc_lang) <-> m2_subset_1(B,k8_qc_lang1,k7_cqc_lang) & m2_subset_1(A,k8_qc_lang1,k7_cqc_lang)))))) # label(t19_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4922 (all A (m1_subset_1(A,k8_qc_lang1) -> (m2_subset_1(k12_qc_lang1(A),k8_qc_lang1,k7_cqc_lang) <-> m2_subset_1(A,k8_qc_lang1,k7_cqc_lang)))) # label(t18_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4923 (all A (m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) -> (all B (m1_subset_1(B,f1_s7_cqc_lang) -> (B = f2_s7_cqc_lang(A) <-> (exists C (v1_funct_1(C) & v1_funct_2(C,k7_cqc_lang,f1_s7_cqc_lang) & f3_s7_cqc_lang = k8_funct_2(k7_cqc_lang,f1_s7_cqc_lang,C,k9_cqc_lang) & (all D (m2_subset_1(D,k8_qc_lang1,k7_cqc_lang) -> (all E (m2_subset_1(E,k8_qc_lang1,k7_cqc_lang) -> (all F (m2_subset_1(F,k1_qc_lang1,k2_qc_lang1) -> (all G (m2_subset_1(G,k1_numbers,k5_numbers) -> (all H (m1_qc_lang1(H,G) & v1_cqc_lang(H,G) -> (all I (m2_subset_1(I,k5_qc_lang1,k7_qc_lang1(G)) -> f4_s7_cqc_lang(G,I,H) = k8_funct_2(k7_cqc_lang,f1_s7_cqc_lang,C,k8_cqc_lang(G,I,H)) & f8_s7_cqc_lang(F,k8_funct_2(k7_cqc_lang,f1_s7_cqc_lang,C,D)) = k8_funct_2(k7_cqc_lang,f1_s7_cqc_lang,C,k15_cqc_lang(F,D)) & k8_funct_2(k7_cqc_lang,f1_s7_cqc_lang,C,k11_cqc_lang(D,E)) = f7_s7_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s7_cqc_lang,C,D),k8_funct_2(k7_cqc_lang,f1_s7_cqc_lang,C,E)) & f5_s7_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s7_cqc_lang,C,D)) = k8_funct_2(k7_cqc_lang,f1_s7_cqc_lang,C,k10_cqc_lang(D)))))))))))))) & k8_funct_2(k7_cqc_lang,f1_s7_cqc_lang,C,A) = B & m2_relset_1(C,k7_cqc_lang,f1_s7_cqc_lang)))))))) -> f5_s7_cqc_lang(f2_s7_cqc_lang(f6_s7_cqc_lang)) = f2_s7_cqc_lang(k10_cqc_lang(f6_s7_cqc_lang)) # label(s7_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4924 (all A (m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) -> (all B (m2_subset_1(B,k8_qc_lang1,k7_cqc_lang) -> m2_subset_1(k3_qc_lang2(A,B),k8_qc_lang1,k7_cqc_lang))))) # label(t21_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4925 (all A all B all C all D all E (m1_subset_1(E,A) & m1_subset_1(D,A) & -v1_xboole_0(A) -> k2_cqc_lang(A,B,C,D,E) = k1_cqc_lang(B,C,D,E))) # label(redefinition_k2_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4926 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k17_cqc_lang(k12_qc_lang1(B),A) = k12_qc_lang1(k17_cqc_lang(B,A)))))) # label(t32_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4927 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k8_qc_lang1,k7_cqc_lang) -> m2_subset_1(k5_qc_lang2(A,B),k8_qc_lang1,k7_cqc_lang))))) # label(t24_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4928 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (m2_subset_1(B,k8_qc_lang1,k7_cqc_lang) <-> m2_subset_1(k14_qc_lang1(A,B),k8_qc_lang1,k7_cqc_lang)))))) # label(t23_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4929 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m2_subset_1(C,k5_qc_lang1,k7_qc_lang1(A)) -> (all D (m1_qc_lang1(D,A) -> k9_qc_lang1(C,k5_cqc_lang(A,D,k6_cqc_lang(k3_qc_lang3(np__0),B))) = k17_cqc_lang(k9_qc_lang1(C,D),B))))))))) # label(t30_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4930 (all A all B (m1_subset_1(B,k7_cqc_lang) & m1_subset_1(A,k7_cqc_lang) -> k12_cqc_lang(A,B) = k2_qc_lang2(A,B))) # label(redefinition_k12_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4931 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (v3_qc_lang1(B) -> k12_qc_lang1(k17_cqc_lang(k17_qc_lang1(B),A)) = k17_cqc_lang(B,A)))))) # label(t31_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.51	4932 (all A (m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) -> (all B (m1_subset_1(B,f1_s8_cqc_lang) -> ((exists C (v1_funct_1(C) & (all D (m2_subset_1(D,k8_qc_lang1,k7_cqc_lang) -> (all E (m2_subset_1(E,k8_qc_lang1,k7_cqc_lang) -> (all F (m2_subset_1(F,k1_qc_lang1,k2_qc_lang1) -> (all G (m2_subset_1(G,k1_numbers,k5_numbers) -> (all H (v1_cqc_lang(H,G) & m1_qc_lang1(H,G) -> (all I (m2_subset_1(I,k5_qc_lang1,k7_qc_lang1(G)) -> k8_funct_2(k7_cqc_lang,f1_s8_cqc_lang,C,k8_cqc_lang(G,I,H)) = f4_s8_cqc_lang(G,I,H) & f6_s8_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s8_cqc_lang,C,D),k8_funct_2(k7_cqc_lang,f1_s8_cqc_lang,C,E)) = k8_funct_2(k7_cqc_lang,f1_s8_cqc_lang,C,k11_cqc_lang(D,E)) & f9_s8_cqc_lang(F,k8_funct_2(k7_cqc_lang,f1_s8_cqc_lang,C,D)) = k8_funct_2(k7_cqc_lang,f1_s8_cqc_lang,C,k15_cqc_lang(F,D)) & f5_s8_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s8_cqc_lang,C,D)) = k8_funct_2(k7_cqc_lang,f1_s8_cqc_lang,C,k10_cqc_lang(D)))))))))))))) & f3_s8_cqc_lang = k8_funct_2(k7_cqc_lang,f1_s8_cqc_lang,C,k9_cqc_lang) & B = k8_funct_2(k7_cqc_lang,f1_s8_cqc_lang,C,A) & m2_relset_1(C,k7_cqc_lang,f1_s8_cqc_lang) & v1_funct_2(C,k7_cqc_lang,f1_s8_cqc_lang))) <-> f2_s8_cqc_lang(A) = B))))) -> f6_s8_cqc_lang(f2_s8_cqc_lang(f7_s8_cqc_lang),f2_s8_cqc_lang(f8_s8_cqc_lang)) = f2_s8_cqc_lang(k11_cqc_lang(f7_s8_cqc_lang,f8_s8_cqc_lang)) # label(s8_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4933 (all A all B all C C = k1_binop_1(k9_funct_2(A,B,C),A,B)) # label(t43_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4934 (all A all B (m1_subset_1(B,k7_cqc_lang) & m1_subset_1(A,k7_cqc_lang) -> k14_cqc_lang(A,B) = k4_qc_lang2(A,B))) # label(redefinition_k14_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4935 (all A all B (m1_subset_1(A,k2_qc_lang1) & m1_subset_1(B,k7_cqc_lang) -> k16_cqc_lang(A,B) = k5_qc_lang2(A,B))) # label(redefinition_k16_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4936 (all A (m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) -> (all B (m1_subset_1(B,f1_s5_cqc_lang) -> (f2_s5_cqc_lang(A) = B <-> (exists C (v1_funct_1(C) & v1_funct_2(C,k7_cqc_lang,f1_s5_cqc_lang) & m2_relset_1(C,k7_cqc_lang,f1_s5_cqc_lang) & B = k8_funct_2(k7_cqc_lang,f1_s5_cqc_lang,C,A) & k8_funct_2(k7_cqc_lang,f1_s5_cqc_lang,C,k9_cqc_lang) = f3_s5_cqc_lang & (all D (m2_subset_1(D,k8_qc_lang1,k7_cqc_lang) -> (all E (m2_subset_1(E,k8_qc_lang1,k7_cqc_lang) -> (all F (m2_subset_1(F,k1_qc_lang1,k2_qc_lang1) -> (all G (m2_subset_1(G,k1_numbers,k5_numbers) -> (all H (v1_cqc_lang(H,G) & m1_qc_lang1(H,G) -> (all I (m2_subset_1(I,k5_qc_lang1,k7_qc_lang1(G)) -> f6_s5_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s5_cqc_lang,C,D),k8_funct_2(k7_cqc_lang,f1_s5_cqc_lang,C,E)) = k8_funct_2(k7_cqc_lang,f1_s5_cqc_lang,C,k11_cqc_lang(D,E)) & k8_funct_2(k7_cqc_lang,f1_s5_cqc_lang,C,k15_cqc_lang(F,D)) = f7_s5_cqc_lang(F,k8_funct_2(k7_cqc_lang,f1_s5_cqc_lang,C,D)) & k8_funct_2(k7_cqc_lang,f1_s5_cqc_lang,C,k10_cqc_lang(D)) = f5_s5_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s5_cqc_lang,C,D)) & k8_funct_2(k7_cqc_lang,f1_s5_cqc_lang,C,k8_cqc_lang(G,I,H)) = f4_s5_cqc_lang(G,I,H)))))))))))))))))))) -> f3_s5_cqc_lang = f2_s5_cqc_lang(k9_cqc_lang) # label(s5_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4937 (all A (m2_finseq_1(A,k1_qc_lang1) -> (all B (m2_relset_1(B,k4_qc_lang1,k1_qc_lang1) & v1_funct_1(B) -> (all C (m2_finseq_1(C,k1_qc_lang1) -> (k4_cqc_lang(A,B) = C <-> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r1_xreal_0(np__1,D) & r1_xreal_0(D,k3_finseq_1(A)) -> (-r2_hidden(k1_funct_1(A,D),k1_relat_1(B)) -> k1_funct_1(A,D) = k1_funct_1(C,D)) & (r2_hidden(k1_funct_1(A,D),k1_relat_1(B)) -> k1_funct_1(C,D) = k1_funct_1(B,k1_funct_1(A,D)))))) & k3_finseq_1(C) = k3_finseq_1(A)))))))) # label(d3_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4938 $T # label(t25_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4939 (all A (m1_subset_1(A,k8_qc_lang1) -> (k1_xboole_0 = k6_qc_lang3(A) & k5_qc_lang3(A) = k1_xboole_0 <-> m2_subset_1(A,k8_qc_lang1,k7_cqc_lang)))) # label(t13_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4940 (all A all B (m1_subset_1(A,k8_qc_lang1) & m1_subset_1(B,k2_qc_lang1) -> m1_subset_1(k17_cqc_lang(A,B),k8_qc_lang1))) # label(dt_k17_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4941 (all A all B (m1_subset_1(A,k7_cqc_lang) & m1_subset_1(B,k7_cqc_lang) -> m2_subset_1(k14_cqc_lang(A,B),k8_qc_lang1,k7_cqc_lang))) # label(dt_k14_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4942 (all A all B (m1_subset_1(B,k2_qc_lang1) & m1_subset_1(A,k4_qc_lang1) -> v1_funct_1(k6_cqc_lang(A,B)) & m2_relset_1(k6_cqc_lang(A,B),k4_qc_lang1,k1_qc_lang1))) # label(dt_k6_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4943 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m1_qc_lang1(B,A) -> (v1_cqc_lang(B,A) <-> r1_tarski(k2_relat_1(B),k2_qc_lang1)))))) # label(d5_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4944 $T # label(t12_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4945 $T # label(t27_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4946 (all A all B (m1_subset_1(B,k7_cqc_lang) & m1_subset_1(A,k7_cqc_lang) -> m2_subset_1(k13_cqc_lang(A,B),k8_qc_lang1,k7_cqc_lang))) # label(dt_k13_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4947 (all A (-(-r2_hidden(A,k4_qc_lang1) & -r2_hidden(A,k2_qc_lang1) & -r2_hidden(A,k3_qc_lang1)) <-> r2_hidden(A,k1_qc_lang1))) # label(t7_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4948 (all A all B B = k1_funct_1(k3_cqc_lang(A,B),A)) # label(t6_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4949 (exists A ((exists B (m2_relset_1(B,k7_cqc_lang,f1_s4_cqc_lang) & A = k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,B,f2_s4_cqc_lang) & k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,B,k9_cqc_lang) = f3_s4_cqc_lang & (all C (m2_subset_1(C,k8_qc_lang1,k7_cqc_lang) -> (all D (m2_subset_1(D,k8_qc_lang1,k7_cqc_lang) -> (all E (m2_subset_1(E,k1_qc_lang1,k2_qc_lang1) -> (all F (m2_subset_1(F,k1_numbers,k5_numbers) -> (all G (v1_cqc_lang(G,F) & m1_qc_lang1(G,F) -> (all H (m2_subset_1(H,k5_qc_lang1,k7_qc_lang1(F)) -> k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,B,k15_cqc_lang(E,C)) = f7_s4_cqc_lang(E,k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,B,C)) & f6_s4_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,B,C),k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,B,D)) = k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,B,k11_cqc_lang(C,D)) & k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,B,k10_cqc_lang(C)) = f5_s4_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,B,C)) & k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,B,k8_cqc_lang(F,H,G)) = f4_s4_cqc_lang(F,H,G))))))))))))) & v1_funct_2(B,k7_cqc_lang,f1_s4_cqc_lang) & v1_funct_1(B))) & m1_subset_1(A,f1_s4_cqc_lang))) # label(s4_cqc_lang_AndLHS) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4950 (all A (m1_subset_1(A,f1_s4_cqc_lang) -> (all B (m1_subset_1(B,f1_s4_cqc_lang) -> -((exists C (v1_funct_1(C) & v1_funct_2(C,k7_cqc_lang,f1_s4_cqc_lang) & m2_relset_1(C,k7_cqc_lang,f1_s4_cqc_lang) & k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,f2_s4_cqc_lang) = A & k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,k9_cqc_lang) = f3_s4_cqc_lang & (all D (m2_subset_1(D,k8_qc_lang1,k7_cqc_lang) -> (all E (m2_subset_1(E,k8_qc_lang1,k7_cqc_lang) -> (all F (m2_subset_1(F,k1_qc_lang1,k2_qc_lang1) -> (all G (m2_subset_1(G,k1_numbers,k5_numbers) -> (all H (v1_cqc_lang(H,G) & m1_qc_lang1(H,G) -> (all I (m2_subset_1(I,k5_qc_lang1,k7_qc_lang1(G)) -> k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,k8_cqc_lang(G,I,H)) = f4_s4_cqc_lang(G,I,H) & k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,k15_cqc_lang(F,D)) = f7_s4_cqc_lang(F,k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,D)) & k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,k11_cqc_lang(D,E)) = f6_s4_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,D),k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,E)) & f5_s4_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,D)) = k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,k10_cqc_lang(D)))))))))))))))) & A != B & (exists C (v1_funct_2(C,k7_cqc_lang,f1_s4_cqc_lang) & m2_relset_1(C,k7_cqc_lang,f1_s4_cqc_lang) & k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,f2_s4_cqc_lang) = B & k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,k9_cqc_lang) = f3_s4_cqc_lang & (all D (m2_subset_1(D,k8_qc_lang1,k7_cqc_lang) -> (all E (m2_subset_1(E,k8_qc_lang1,k7_cqc_lang) -> (all F (m2_subset_1(F,k1_qc_lang1,k2_qc_lang1) -> (all G (m2_subset_1(G,k1_numbers,k5_numbers) -> (all H (v1_cqc_lang(H,G) & m1_qc_lang1(H,G) -> (all I (m2_subset_1(I,k5_qc_lang1,k7_qc_lang1(G)) -> f4_s4_cqc_lang(G,I,H) = k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,k8_cqc_lang(G,I,H)) & k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,k11_cqc_lang(D,E)) = f6_s4_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,D),k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,E)) & f7_s4_cqc_lang(F,k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,D)) = k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,k15_cqc_lang(F,D)) & k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,k10_cqc_lang(D)) = f5_s4_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,D)))))))))))))) & v1_funct_1(C)))))))) # label(s4_cqc_lang_AndRHS) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4951 $T # label(t8_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4952 $T # label(dt_k3_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4953 (all A all B (v1_funct_1(B) & m1_relset_1(B,k4_qc_lang1,k1_qc_lang1) & m1_finseq_1(A,k1_qc_lang1) -> m2_finseq_1(k4_cqc_lang(A,B),k1_qc_lang1))) # label(dt_k4_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4954 (all A all B (m1_subset_1(A,k2_qc_lang1) & m1_subset_1(B,k7_cqc_lang) -> m2_subset_1(k16_cqc_lang(A,B),k8_qc_lang1,k7_cqc_lang))) # label(dt_k16_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4955 (all A all B (m1_subset_1(B,k2_qc_lang1) & m1_subset_1(A,k4_qc_lang1) -> k6_cqc_lang(A,B) = k3_cqc_lang(A,B))) # label(redefinition_k6_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4956 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (v4_qc_lang1(B) -> k13_qc_lang1(k17_cqc_lang(k18_qc_lang1(B),A),k17_cqc_lang(k19_qc_lang1(B),A)) = k17_cqc_lang(B,A)))))) # label(t33_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4957 (all A all B all C (m2_subset_1(B,k1_numbers,k5_numbers) & m1_qc_lang1(C,B) -> (r2_hidden(A,a_2_0_cqc_lang(B,C)) <-> (exists D (r1_xreal_0(np__1,D) & r2_hidden(k1_funct_1(C,D),k4_qc_lang1) & r1_xreal_0(D,k3_finseq_1(C)) & k1_funct_1(C,D) = A & m2_subset_1(D,k1_numbers,k5_numbers)))))) # label(fraenkel_a_2_0_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4958 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (k1_xboole_0 = k5_qc_lang3(B) -> k17_cqc_lang(B,A) = B))))) # label(t39_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4959 $T # label(t26_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4960 (all A all B (m1_subset_1(B,k7_cqc_lang) & m1_subset_1(A,k2_qc_lang1) -> m2_subset_1(k15_cqc_lang(A,B),k8_qc_lang1,k7_cqc_lang))) # label(dt_k15_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4961 (all A (m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) -> (all B (m2_subset_1(B,k8_qc_lang1,k7_cqc_lang) -> m2_subset_1(k4_qc_lang2(A,B),k8_qc_lang1,k7_cqc_lang))))) # label(t22_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4962 $T # label(t2_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4963 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k4_qc_lang1) -> v1_funct_1(k3_cqc_lang(B,A)) & m2_relset_1(k3_cqc_lang(B,A),k4_qc_lang1,k1_qc_lang1))))) # label(t10_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4964 (all A (m1_subset_1(A,k7_cqc_lang) -> m2_subset_1(k10_cqc_lang(A),k8_qc_lang1,k7_cqc_lang))) # label(dt_k10_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4965 (all A all B (m1_subset_1(A,k7_cqc_lang) & m1_subset_1(B,k7_cqc_lang) -> k11_cqc_lang(A,B) = k13_qc_lang1(A,B))) # label(redefinition_k11_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4966 (all A all B all C k3_cqc_lang(k4_tarski(A,B),C) = k9_funct_2(A,B,C)) # label(t42_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4967 (all A all B all C (m1_qc_lang1(C,B) & m2_subset_1(B,k1_numbers,k5_numbers) -> (r2_hidden(A,a_2_1_cqc_lang(B,C)) <-> (exists D (m2_subset_1(D,k1_numbers,k5_numbers) & r1_xreal_0(np__1,D) & r1_xreal_0(D,k3_finseq_1(C)) & r2_hidden(k1_funct_1(C,D),k3_qc_lang1) & A = k1_funct_1(C,D)))))) # label(fraenkel_a_2_1_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4968 (all A all B (k1_tarski(A) = k1_relat_1(k3_cqc_lang(A,B)) & k1_tarski(B) = k2_relat_1(k3_cqc_lang(A,B)))) # label(t5_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4969 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k5_qc_lang1,k7_qc_lang1(A)) -> (all C (m1_qc_lang1(C,A) -> (a_2_0_cqc_lang(A,C) = k1_xboole_0 & k1_xboole_0 = a_2_1_cqc_lang(A,C) <-> m2_subset_1(k9_qc_lang1(B,C),k8_qc_lang1,k7_cqc_lang)))))))) # label(t17_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4970 (all A all B all C all D all E (-v1_xboole_0(A) & m1_subset_1(E,A) & m1_subset_1(D,A) -> m1_subset_1(k2_cqc_lang(A,B,C,D,E),A))) # label(dt_k2_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4971 k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f2_s3_cqc_lang,k9_cqc_lang) = f4_s3_cqc_lang & k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f3_s3_cqc_lang,k9_cqc_lang) = f4_s3_cqc_lang & (all A (m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) -> (all B (m2_subset_1(B,k8_qc_lang1,k7_cqc_lang) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (all E (v1_cqc_lang(E,D) & m1_qc_lang1(E,D) -> (all F (m2_subset_1(F,k5_qc_lang1,k7_qc_lang1(D)) -> f5_s3_cqc_lang(D,F,E) = k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f3_s3_cqc_lang,k8_cqc_lang(D,F,E)) & f6_s3_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f3_s3_cqc_lang,A)) = k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f3_s3_cqc_lang,k10_cqc_lang(A)) & f8_s3_cqc_lang(C,k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f3_s3_cqc_lang,A)) = k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f3_s3_cqc_lang,k15_cqc_lang(C,A)) & f7_s3_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f3_s3_cqc_lang,A),k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f3_s3_cqc_lang,B)) = k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f3_s3_cqc_lang,k11_cqc_lang(A,B)))))))))))))) & (all A (m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) -> (all B (m2_subset_1(B,k8_qc_lang1,k7_cqc_lang) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (all E (v1_cqc_lang(E,D) & m1_qc_lang1(E,D) -> (all F (m2_subset_1(F,k5_qc_lang1,k7_qc_lang1(D)) -> f6_s3_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f2_s3_cqc_lang,A)) = k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f2_s3_cqc_lang,k10_cqc_lang(A)) & k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f2_s3_cqc_lang,k15_cqc_lang(C,A)) = f8_s3_cqc_lang(C,k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f2_s3_cqc_lang,A)) & k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f2_s3_cqc_lang,k11_cqc_lang(A,B)) = f7_s3_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f2_s3_cqc_lang,A),k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f2_s3_cqc_lang,B)) & f5_s3_cqc_lang(D,F,E) = k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f2_s3_cqc_lang,k8_cqc_lang(D,F,E)))))))))))))) -> f3_s3_cqc_lang = f2_s3_cqc_lang # label(s3_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4972 $T # label(t4_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4973 (all A (m1_subset_1(A,k7_cqc_lang) -> k10_cqc_lang(A) = k12_qc_lang1(A))) # label(redefinition_k10_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4974 $T # label(dt_k1_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4975 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> (C = k17_cqc_lang(A,B) <-> (exists D (v1_funct_2(D,k8_qc_lang1,k8_qc_lang1) & C = k8_funct_2(k8_qc_lang1,k8_qc_lang1,D,A) & (all E (m1_subset_1(E,k8_qc_lang1) -> (v2_qc_lang1(E) -> k8_funct_2(k8_qc_lang1,k8_qc_lang1,D,E) = k9_qc_lang1(k15_qc_lang1(E),k4_cqc_lang(k16_qc_lang1(E),k6_cqc_lang(k3_qc_lang3(np__0),B)))) & (v3_qc_lang1(E) -> k12_qc_lang1(k8_funct_2(k8_qc_lang1,k8_qc_lang1,D,k17_qc_lang1(E))) = k8_funct_2(k8_qc_lang1,k8_qc_lang1,D,E)) & (v5_qc_lang1(E) -> k2_cqc_lang(k8_qc_lang1,k20_qc_lang1(E),B,E,k14_qc_lang1(k20_qc_lang1(E),k8_funct_2(k8_qc_lang1,k8_qc_lang1,D,k21_qc_lang1(E)))) = k8_funct_2(k8_qc_lang1,k8_qc_lang1,D,E)) & (v4_qc_lang1(E) -> k13_qc_lang1(k8_funct_2(k8_qc_lang1,k8_qc_lang1,D,k18_qc_lang1(E)),k8_funct_2(k8_qc_lang1,k8_qc_lang1,D,k19_qc_lang1(E))) = k8_funct_2(k8_qc_lang1,k8_qc_lang1,D,E)) & k9_cqc_lang = k8_funct_2(k8_qc_lang1,k8_qc_lang1,D,k9_cqc_lang))) & m2_relset_1(D,k8_qc_lang1,k8_qc_lang1) & v1_funct_1(D)))))))))) # label(d6_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4976 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (k20_qc_lang1(B) = A & v5_qc_lang1(B) -> B = k17_cqc_lang(B,A)))))) # label(t35_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4977 (all A all B (m1_subset_1(B,k7_cqc_lang) & m1_subset_1(A,k7_cqc_lang) -> m2_subset_1(k11_cqc_lang(A,B),k8_qc_lang1,k7_cqc_lang))) # label(dt_k11_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4978 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k4_qc_lang1) -> (all D (m2_finseq_1(D,k1_qc_lang1) -> (all E (m2_finseq_1(E,k1_qc_lang1) -> (all F (m2_relset_1(F,k4_qc_lang1,k1_qc_lang1) & v1_funct_1(F) -> (r1_xreal_0(A,k3_finseq_1(E)) & r1_xreal_0(np__1,A) & D = k4_cqc_lang(E,F) & F = k6_cqc_lang(C,B) -> (C != k1_funct_1(E,A) -> k1_funct_1(E,A) = k1_funct_1(D,A)) & (k1_funct_1(E,A) = C -> B = k1_funct_1(D,A))))))))))))))) # label(t11_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4979 (all A all B all C (m1_subset_1(A,k5_numbers) & m1_qc_lang1(B,A) & m1_relset_1(C,k4_qc_lang1,k1_qc_lang1) & v1_funct_1(C) -> k4_cqc_lang(B,C) = k5_cqc_lang(A,B,C))) # label(redefinition_k5_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4980 (all A all B all C all D ((A = B -> C = k1_cqc_lang(A,B,C,D)) & (B != A -> k1_cqc_lang(A,B,C,D) = D))) # label(d1_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4981 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k8_qc_lang1,k7_cqc_lang) -> k17_cqc_lang(B,A) = B)))) # label(t40_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4982 (all A all B all C (m1_subset_1(B,k7_qc_lang1(A)) & v1_cqc_lang(C,A) & m1_qc_lang1(C,A) & m1_subset_1(A,k5_numbers) -> k9_qc_lang1(B,C) = k8_cqc_lang(A,B,C))) # label(redefinition_k8_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4983 $T # label(t3_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4984 (all A (m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) -> (all B (m2_subset_1(B,k8_qc_lang1,k7_cqc_lang) -> m2_subset_1(k2_qc_lang2(A,B),k8_qc_lang1,k7_cqc_lang))))) # label(t20_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4985 (all A (r2_hidden(A,a_0_0_cqc_lang) <-> (exists B (k1_xboole_0 = k5_qc_lang3(B) & k6_qc_lang3(B) = k1_xboole_0 & A = B & m1_subset_1(B,k8_qc_lang1))))) # label(fraenkel_a_0_0_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4986 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> (B != A -> k17_cqc_lang(k14_qc_lang1(A,C),B) = k14_qc_lang1(A,k17_cqc_lang(C,B))))))))) # label(t38_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4987 (all A all B (m1_subset_1(A,k7_cqc_lang) & m1_subset_1(B,k7_cqc_lang) -> k13_cqc_lang(A,B) = k3_qc_lang2(A,B))) # label(redefinition_k13_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4988 (all A (m1_subset_1(A,k5_numbers) -> (exists B (v1_funct_1(B) & v1_cqc_lang(B,A) & v1_finseq_1(B) & v1_relat_1(B) & m1_qc_lang1(B,A))))) # label(rc1_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4989 (all A (m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) -> (all B (m1_subset_1(B,f1_s6_cqc_lang) -> ((exists C (v1_funct_1(C) & (all D (m2_subset_1(D,k8_qc_lang1,k7_cqc_lang) -> (all E (m2_subset_1(E,k8_qc_lang1,k7_cqc_lang) -> (all F (m2_subset_1(F,k1_qc_lang1,k2_qc_lang1) -> (all G (m2_subset_1(G,k1_numbers,k5_numbers) -> (all H (m1_qc_lang1(H,G) & v1_cqc_lang(H,G) -> (all I (m2_subset_1(I,k5_qc_lang1,k7_qc_lang1(G)) -> k8_funct_2(k7_cqc_lang,f1_s6_cqc_lang,C,k8_cqc_lang(G,I,H)) = f4_s6_cqc_lang(G,I,H) & k8_funct_2(k7_cqc_lang,f1_s6_cqc_lang,C,k11_cqc_lang(D,E)) = f9_s6_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s6_cqc_lang,C,D),k8_funct_2(k7_cqc_lang,f1_s6_cqc_lang,C,E)) & f10_s6_cqc_lang(F,k8_funct_2(k7_cqc_lang,f1_s6_cqc_lang,C,D)) = k8_funct_2(k7_cqc_lang,f1_s6_cqc_lang,C,k15_cqc_lang(F,D)) & k8_funct_2(k7_cqc_lang,f1_s6_cqc_lang,C,k10_cqc_lang(D)) = f8_s6_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s6_cqc_lang,C,D)))))))))))))) & f2_s6_cqc_lang = k8_funct_2(k7_cqc_lang,f1_s6_cqc_lang,C,k9_cqc_lang) & k8_funct_2(k7_cqc_lang,f1_s6_cqc_lang,C,A) = B & m2_relset_1(C,k7_cqc_lang,f1_s6_cqc_lang) & v1_funct_2(C,k7_cqc_lang,f1_s6_cqc_lang))) <-> B = f3_s6_cqc_lang(A)))))) -> f4_s6_cqc_lang(f5_s6_cqc_lang,f6_s6_cqc_lang,f7_s6_cqc_lang) = f3_s6_cqc_lang(k8_cqc_lang(f5_s6_cqc_lang,f6_s6_cqc_lang,f7_s6_cqc_lang)) # label(s6_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4990 (all A all B all C (m1_subset_1(A,k5_numbers) & v1_funct_1(C) & m1_relset_1(C,k4_qc_lang1,k1_qc_lang1) & m1_qc_lang1(B,A) -> m1_qc_lang1(k5_cqc_lang(A,B,C),A))) # label(dt_k5_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4991 (all A (m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) -> (all B (m1_subset_1(B,f1_s9_cqc_lang) -> (f2_s9_cqc_lang(A) = B <-> (exists C (v1_funct_1(C) & v1_funct_2(C,k7_cqc_lang,f1_s9_cqc_lang) & k8_funct_2(k7_cqc_lang,f1_s9_cqc_lang,C,A) = B & (all D (m2_subset_1(D,k8_qc_lang1,k7_cqc_lang) -> (all E (m2_subset_1(E,k8_qc_lang1,k7_cqc_lang) -> (all F (m2_subset_1(F,k1_qc_lang1,k2_qc_lang1) -> (all G (m2_subset_1(G,k1_numbers,k5_numbers) -> (all H (v1_cqc_lang(H,G) & m1_qc_lang1(H,G) -> (all I (m2_subset_1(I,k5_qc_lang1,k7_qc_lang1(G)) -> k8_funct_2(k7_cqc_lang,f1_s9_cqc_lang,C,k10_cqc_lang(D)) = f5_s9_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s9_cqc_lang,C,D)) & f7_s9_cqc_lang(F,k8_funct_2(k7_cqc_lang,f1_s9_cqc_lang,C,D)) = k8_funct_2(k7_cqc_lang,f1_s9_cqc_lang,C,k15_cqc_lang(F,D)) & f6_s9_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s9_cqc_lang,C,D),k8_funct_2(k7_cqc_lang,f1_s9_cqc_lang,C,E)) = k8_funct_2(k7_cqc_lang,f1_s9_cqc_lang,C,k11_cqc_lang(D,E)) & f4_s9_cqc_lang(G,I,H) = k8_funct_2(k7_cqc_lang,f1_s9_cqc_lang,C,k8_cqc_lang(G,I,H)))))))))))))) & k8_funct_2(k7_cqc_lang,f1_s9_cqc_lang,C,k9_cqc_lang) = f3_s9_cqc_lang & m2_relset_1(C,k7_cqc_lang,f1_s9_cqc_lang)))))))) -> f2_s9_cqc_lang(k15_cqc_lang(f8_s9_cqc_lang,f9_s9_cqc_lang)) = f7_s9_cqc_lang(f8_s9_cqc_lang,f2_s9_cqc_lang(f9_s9_cqc_lang)) # label(s9_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4992 (all A (m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) -> (all B (m2_subset_1(B,k8_qc_lang1,k7_cqc_lang) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (all E (m1_qc_lang1(E,D) & v1_cqc_lang(E,D) -> (all F (m2_subset_1(F,k5_qc_lang1,k7_qc_lang1(D)) -> (p1_s1_cqc_lang(A) -> p1_s1_cqc_lang(k10_cqc_lang(A))) & (p1_s1_cqc_lang(A) & p1_s1_cqc_lang(B) -> p1_s1_cqc_lang(k11_cqc_lang(A,B))) & (p1_s1_cqc_lang(A) -> p1_s1_cqc_lang(k15_cqc_lang(C,A))) & p1_s1_cqc_lang(k8_cqc_lang(D,F,E)) & p1_s1_cqc_lang(k9_cqc_lang))))))))))))) -> (all A (m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) -> p1_s1_cqc_lang(A))) # label(s1_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4993 (exists A ((all B (m2_subset_1(B,k8_qc_lang1,k7_cqc_lang) -> (all C (m2_subset_1(C,k8_qc_lang1,k7_cqc_lang) -> (all D (m2_subset_1(D,k1_qc_lang1,k2_qc_lang1) -> (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (all F (v1_cqc_lang(F,E) & m1_qc_lang1(F,E) -> (all G (m2_subset_1(G,k5_qc_lang1,k7_qc_lang1(E)) -> k8_funct_2(k7_cqc_lang,f1_s2_cqc_lang,A,k8_cqc_lang(E,G,F)) = f3_s2_cqc_lang(E,G,F) & k8_funct_2(k7_cqc_lang,f1_s2_cqc_lang,A,k10_cqc_lang(B)) = f4_s2_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s2_cqc_lang,A,B)) & k8_funct_2(k7_cqc_lang,f1_s2_cqc_lang,A,k15_cqc_lang(D,B)) = f6_s2_cqc_lang(D,k8_funct_2(k7_cqc_lang,f1_s2_cqc_lang,A,B)) & f5_s2_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s2_cqc_lang,A,B),k8_funct_2(k7_cqc_lang,f1_s2_cqc_lang,A,C)) = k8_funct_2(k7_cqc_lang,f1_s2_cqc_lang,A,k11_cqc_lang(B,C)))))))))))))) & k8_funct_2(k7_cqc_lang,f1_s2_cqc_lang,A,k9_cqc_lang) = f2_s2_cqc_lang & m2_relset_1(A,k7_cqc_lang,f1_s2_cqc_lang) & v1_funct_2(A,k7_cqc_lang,f1_s2_cqc_lang) & v1_funct_1(A))) # label(s2_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4994 (all A all B (m1_subset_1(B,k7_cqc_lang) & m1_subset_1(A,k7_cqc_lang) -> m2_subset_1(k12_cqc_lang(A,B),k8_qc_lang1,k7_cqc_lang))) # label(dt_k12_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4995 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k6_qc_lang3(k17_cqc_lang(B,A)) = k6_qc_lang3(B))))) # label(t41_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4996 (all A all B (m1_pboole(B,A) -> m1_pboole(k6_pboole(A,B),k3_finseq_2(A)))) # label(dt_k6_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4997 (all A all B all C all D (v1_funct_1(C) & m1_pboole(D,B) & v2_relat_1(D) & m1_relset_1(C,A,B) & v1_funct_2(C,A,B) & -v1_xboole_0(B) -> k5_relat_1(C,D) = k8_pboole(A,B,C,D))) # label(redefinition_k8_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4998 (all A all B all C (m1_pboole(C,A) & m1_pboole(B,A) -> m1_pboole(k12_pboole(A,B,C),A))) # label(dt_k12_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	4999 (all A all B all C (m1_pboole(C,A) & m1_pboole(B,A) -> m1_pboole(k11_pboole(A,B,C),A))) # label(dt_k11_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5000 (all A (v1_funct_1(k1_pboole(A)) & v3_relat_1(k1_pboole(A)) & v1_relat_1(k1_pboole(A)))) # label(fc3_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5001 (all A all B (m1_pboole(B,A) -> r6_pboole(A,k4_pboole(A,B,k1_pboole(A)),B))) # label(t65_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5002 $T # label(t90_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5003 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r7_pboole(A,B,C) & v2_relat_1(B) -> r2_pboole(A,B,C)))))) # label(t144_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5004 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r7_pboole(A,B,C) & r7_pboole(A,C,D) -> r7_pboole(A,B,D)))))))) # label(t132_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5005 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r1_pboole(A,B,C) & r1_pboole(A,B,D) -> r4_pboole(A,C,D)))))))) # label(t10_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5006 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r4_pboole(A,B,k3_pboole(A,C,D)) -> r4_pboole(A,B,D) & r4_pboole(A,B,C)))))))) # label(t111_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5007 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k4_pboole(A,B,k2_pboole(A,C,B)),k1_pboole(A)) & r6_pboole(A,k4_pboole(A,B,k2_pboole(A,B,C)),k1_pboole(A)))))) # label(t67_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5008 (all A all B (m1_pboole(B,A) -> ((all C (r2_hidden(C,A) -> v1_xboole_0(k1_funct_1(B,C)))) <-> v3_relat_1(B)))) # label(d15_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5009 (all A all B (m1_pboole(B,A) -> (r6_pboole(A,B,k1_pboole(A)) <-> v3_relat_1(B)))) # label(t141_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5010 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r4_pboole(A,B,k4_pboole(A,C,D)) -> r4_pboole(A,B,C)))))))) # label(t113_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5011 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k3_pboole(A,B,C),k5_pboole(A,B,k4_pboole(A,B,C))))))) # label(t101_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5012 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r2_pboole(A,k4_pboole(A,B,C),k5_pboole(A,B,C)))))) # label(t89_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5013 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> (all D (m3_pboole(D,A,B,C) -> v1_funcop_1(D))))) # label(cc3_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5014 $T # label(t117_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5015 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r2_pboole(A,B,C) <-> (all D (r2_hidden(D,A) -> r1_tarski(k1_funct_1(B,D),k1_funct_1(C,D))))))))) # label(d5_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5016 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> k2_pboole(A,k4_pboole(A,B,C),k4_pboole(A,C,B)) = k5_pboole(A,B,C))))) # label(d12_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5017 (exists A (v3_relat_1(A) & v1_funct_1(A) & v1_relat_1(A))) # label(rc1_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5018 (all A all B all C (m1_pboole(C,A) & m1_pboole(B,A) -> (C = B <-> r6_pboole(A,B,C)))) # label(redefinition_r6_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5019 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r6_pboole(A,k4_pboole(A,B,C),B) -> r5_pboole(A,B,C)))))) # label(t128_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5020 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r2_pboole(A,k4_pboole(A,B,C),B))))) # label(t62_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5021 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k3_pboole(A,k2_pboole(A,B,C),B),B) & r6_pboole(A,k3_pboole(A,k2_pboole(A,C,B),B),B) & r6_pboole(A,k3_pboole(A,B,k2_pboole(A,C,B)),B) & r6_pboole(A,k3_pboole(A,B,k2_pboole(A,B,C)),B))))) # label(t36_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5022 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r4_pboole(A,B,C) & r2_pboole(A,B,D) -> r4_pboole(A,B,k3_pboole(A,C,D))))))))) # label(t112_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5023 (all A all B (m1_pboole(B,A) -> (r2_pboole(A,B,k1_pboole(A)) -> r6_pboole(A,B,k1_pboole(A))))) # label(t50_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5024 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r1_pboole(A,B,C) & r2_pboole(A,C,D) -> r1_pboole(A,B,D)))))))) # label(t9_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5025 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k4_pboole(A,B,k3_pboole(A,B,C)),k4_pboole(A,B,C)) & r6_pboole(A,k4_pboole(A,B,k3_pboole(A,C,B)),k4_pboole(A,B,C)))))) # label(t76_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5026 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r6_pboole(A,k2_pboole(A,B,k2_pboole(A,C,D)),k2_pboole(A,k2_pboole(A,B,C),k2_pboole(A,B,D))) & r6_pboole(A,k2_pboole(A,k2_pboole(A,B,C),D),k2_pboole(A,k2_pboole(A,B,D),k2_pboole(A,C,D))))))))) # label(t45_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5027 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r2_pboole(A,B,C) & r6_pboole(A,k3_pboole(A,C,B),k1_pboole(A)) -> r6_pboole(A,B,k1_pboole(A))))))) # label(t57_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5028 $T # label(t93_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5029 (all A all B (m1_pboole(B,A) -> r2_pboole(A,k1_pboole(A),B))) # label(t49_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5030 (all A all B (m1_pboole(B,A) -> ((all C (r2_hidden(C,A) -> k1_funct_1(B,C) = k1_xboole_0)) -> B = k1_pboole(A)))) # label(t6_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5031 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,B,k3_pboole(A,C,D)) -> r2_pboole(A,B,C) & r2_pboole(A,B,D)))))))) # label(t44_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5032 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (all E (m1_pboole(E,A) -> (r2_pboole(A,D,E) & r4_pboole(A,B,D) & r2_pboole(A,B,C) -> r4_pboole(A,C,E)))))))))) # label(t110_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5033 (all A all B all C (m1_pboole(B,A) & m1_subset_1(C,A) & v2_relat_1(B) & -v1_xboole_0(A) -> -v1_xboole_0(k1_funct_1(B,C)))) # label(fc2_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5034 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,B,C) -> r6_pboole(A,k2_pboole(A,B,k3_pboole(A,D,C)),k3_pboole(A,k2_pboole(A,B,D),C))))))))) # label(t27_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5035 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r5_pboole(A,B,C) -> r6_pboole(A,k3_pboole(A,B,C),k1_pboole(A))))))) # label(t121_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5036 $T # label(t30_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5037 (all A all B (m2_relset_1(B,k5_numbers,k3_finseq_2(k1_tarski(A))) & v1_funct_2(B,k5_numbers,k3_finseq_2(k1_tarski(A))) & v1_funct_1(B) -> ((all C (m2_subset_1(C,k1_numbers,k5_numbers) -> k8_funct_2(k5_numbers,k3_finseq_2(k1_tarski(A)),B,C) = k2_finseq_2(C,A))) <-> B = k9_pboole(A)))) # label(d20_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5038 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r4_pboole(A,B,C) | r4_pboole(A,B,D) -> r4_pboole(A,B,k2_pboole(A,C,D))))))))) # label(t106_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5039 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r2_pboole(A,B,C) -> r6_pboole(A,C,k2_pboole(A,k4_pboole(A,C,B),B)) & r6_pboole(A,C,k2_pboole(A,B,k4_pboole(A,C,B)))))))) # label(t72_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5040 (all A m1_pboole(k1_pboole(A),A)) # label(dt_k1_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5041 $T # label(t131_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5042 (all A all B (m1_pboole(B,A) -> r6_pboole(A,k5_pboole(A,B,B),k1_pboole(A)))) # label(t92_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5043 $T # label(d2_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5044 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> k2_pboole(A,B,B) = B)) # label(idempotence_k2_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5045 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (A = k1_relat_1(B) <-> m1_pboole(B,A)))) # label(d3_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5046 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> r7_pboole(A,B,B))) # label(reflexivity_r7_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5047 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,B,C) -> r2_pboole(A,k4_pboole(A,D,C),k4_pboole(A,D,B))))))))) # label(t60_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5048 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r1_pboole(A,B,k4_pboole(A,C,D)) -> r1_pboole(A,B,C)))))))) # label(t12_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5049 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,k3_finseq_2(A)) -> ((all D (m2_finseq_2(D,A,k3_finseq_2(A)) -> k1_funct_1(C,D) = k4_card_3(k5_relat_1(D,B)))) <-> C = k6_pboole(A,B)))))) # label(d19_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5050 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r2_pboole(A,B,C) & r2_pboole(A,C,B) <-> r6_pboole(A,B,C)))))) # label(d13_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5051 $T # label(t33_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5052 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,D,C) & r2_pboole(A,B,C) -> r2_pboole(A,k2_pboole(A,B,D),C)))))))) # label(t18_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5053 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k2_pboole(A,B,C),k2_pboole(A,k5_pboole(A,B,C),k3_pboole(A,B,C))))))) # label(t94_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5054 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) -> -r3_pboole(A,B,k1_pboole(A)))))) # label(t136_pboole) # label(axiom) # label(non_clause).  [assumption].
15.91/15.52	5055 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r2_pboole(A,k3_pboole(A,B,C),k2_pboole(A,B,D)))))))) # label(t26_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5056 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r6_pboole(A,k2_pboole(A,k2_pboole(A,B,C),D),k2_pboole(A,B,k2_pboole(A,C,D))))))))) # label(t34_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5057 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> (r4_pboole(A,B,C) -> r4_pboole(A,C,B)))) # label(symmetry_r4_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5058 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,k4_pboole(A,B,C),D) & r2_pboole(A,k4_pboole(A,C,B),D) -> r2_pboole(A,k5_pboole(A,B,C),D)))))))) # label(t99_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5059 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) -> (v3_relat_1(B) -> -v2_relat_1(B)))))) # label(cc2_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5060 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r6_pboole(A,k5_pboole(A,k5_pboole(A,B,C),D),k5_pboole(A,B,k5_pboole(A,C,D))))))))) # label(t98_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5061 (all A -(k1_xboole_0 = f2_s1_pboole(A) & r2_hidden(A,f1_s1_pboole))) -> (exists A (m1_pboole(A,f1_s1_pboole) & (all B (r2_hidden(B,f1_s1_pboole) -> r2_hidden(k1_funct_1(A,B),f2_s1_pboole(B)))))) # label(s1_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5062 (all A all B (m1_pboole(B,A) -> (all C (m2_pboole(C,A,B) -> m1_pboole(C,A))))) # label(dt_m2_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5063 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,k2_pboole(A,B,C),D) -> r2_pboole(A,C,D) & r2_pboole(A,B,D)))))))) # label(t43_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5064 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r6_pboole(A,k3_pboole(A,B,k2_pboole(A,C,D)),k2_pboole(A,k3_pboole(A,B,C),k3_pboole(A,B,D))))))))) # label(t38_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5065 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r2_pboole(A,B,k4_pboole(A,C,B)) -> r6_pboole(A,B,k1_pboole(A))))))) # label(t63_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5066 (all A all B all C all D (v1_funct_1(C) & m1_relset_1(C,A,B) & m1_pboole(D,B) & v1_funct_2(C,A,B) & -v1_xboole_0(B) -> m1_pboole(k7_pboole(A,B,C,D),A))) # label(dt_k7_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5067 (all A all B (m1_pboole(B,A) & v2_relat_1(B) -> v1_funct_1(k6_pboole(A,B)) & -v3_relat_1(k6_pboole(A,B)) & v2_relat_1(k6_pboole(A,B)) & v1_relat_1(k6_pboole(A,B)))) # label(fc1_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5068 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k2_pboole(A,k4_pboole(A,B,C),k3_pboole(A,B,C)),B) & r6_pboole(A,k2_pboole(A,k3_pboole(A,B,C),k4_pboole(A,B,C)),B))))) # label(t71_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5069 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> -(r4_pboole(A,B,C) & r5_pboole(A,B,C)))))))) # label(t135_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5070 (all A all B (m1_pboole(B,A) -> (all C (r2_hidden(C,A) -> m1_subset_1(k1_funct_1(B,C),k2_relat_1(B)))))) # label(t151_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5071 (all A all B (v2_relat_1(B) & m1_pboole(B,A) -> -r2_hidden(k1_xboole_0,k2_relat_1(B)))) # label(t149_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5072 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k5_pboole(A,B,C),k4_pboole(A,k2_pboole(A,B,C),k3_pboole(A,B,C))))))) # label(t95_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5073 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r4_pboole(A,B,k4_pboole(A,C,D)) -> r4_pboole(A,C,k4_pboole(A,B,D))))))))) # label(t115_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5074 (exists A (m1_pboole(A,f1_s4_pboole) & (all B (r2_hidden(B,f1_s4_pboole) -> k1_funct_1(A,B) = f2_s4_pboole(B))))) # label(s4_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5075 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> k3_pboole(A,C,B) = k3_pboole(A,B,C))) # label(commutativity_k3_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5076 $T # label(t14_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5077 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r6_pboole(A,k4_pboole(A,k4_pboole(A,B,C),D),k4_pboole(A,B,k2_pboole(A,C,D))))))))) # label(t79_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5078 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,B,C) & r2_pboole(A,B,D) & (all E (m1_pboole(E,A) -> (r2_pboole(A,E,C) & r2_pboole(A,E,D) -> r2_pboole(A,E,B)))) <-> r6_pboole(A,B,k3_pboole(A,C,D))))))))) # label(t29_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5079 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> ((all D (m1_pboole(D,A) -> (r1_pboole(A,D,B) -> r1_pboole(A,D,C)))) <-> r7_pboole(A,B,C)))))) # label(d14_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5080 (all A all B (m2_relset_1(k10_pboole(A,B),A,k1_tarski(B)) & v1_funct_2(k10_pboole(A,B),A,k1_tarski(B)) & v1_funct_1(k10_pboole(A,B)))) # label(dt_k10_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5081 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r5_pboole(A,B,C) -> r6_pboole(A,k4_pboole(A,k2_pboole(A,B,C),C),B)))))) # label(t127_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5082 (all A (m2_relset_1(k9_pboole(A),k5_numbers,k3_finseq_2(k1_tarski(A))) & v1_funct_2(k9_pboole(A),k5_numbers,k3_finseq_2(k1_tarski(A))) & v1_funct_1(k9_pboole(A)))) # label(dt_k9_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5083 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> m1_pboole(k3_pboole(A,B,C),A))) # label(dt_k3_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5084 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v2_relat_1(A) -> v1_setfam_1(k2_relat_1(A))))) # label(t1_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5085 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,B,C) & r2_pboole(A,B,D) & r6_pboole(A,k3_pboole(A,C,D),k1_pboole(A)) -> r6_pboole(A,B,k1_pboole(A))))))))) # label(t51_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5086 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> ((all D (r2_hidden(D,A) -> k1_funct_1(C,D) = k1_funct_1(B,D))) -> C = B))))) # label(t3_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5087 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> r6_pboole(A,B,B))) # label(reflexivity_r6_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5088 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) -> -(r4_pboole(A,B,B) & k1_pboole(A) = B))))) # label(t140_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5089 (all A all B all C (m1_pboole(C,A) & m1_pboole(B,A) -> m1_pboole(k4_pboole(A,B,C),A))) # label(dt_k4_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5090 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r2_pboole(A,C,B) <-> m4_pboole(C,A,B)))))) # label(d23_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5091 (all A exists B m1_pboole(B,A)) # label(existence_m1_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5092 (all A all B (m1_pboole(B,A) -> r6_pboole(A,k2_pboole(A,B,k1_pboole(A)),B) & r6_pboole(A,k2_pboole(A,k1_pboole(A),B),B))) # label(t53_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5093 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k3_pboole(A,B,k3_pboole(A,B,C)),k3_pboole(A,B,C)) & r6_pboole(A,k3_pboole(A,k3_pboole(A,B,C),C),k3_pboole(A,B,C)))))) # label(t48_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5094 (all A (m1_pboole(A,k1_xboole_0) -> A = k1_xboole_0)) # label(t134_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5095 (all A all B all C (-v1_xboole_0(A) & m1_pboole(B,A) & m1_pboole(C,A) -> (r3_pboole(A,B,C) -> -r3_pboole(A,C,B)))) # label(antisymmetry_r3_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5096 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r6_pboole(A,k3_pboole(A,k2_pboole(A,B,C),k2_pboole(A,B,D)),B) -> r2_pboole(A,k3_pboole(A,C,D),B)))))))) # label(t41_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5097 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r5_pboole(A,k4_pboole(A,B,C),k4_pboole(A,C,B)))))) # label(t129_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5098 (all A all B all C (m1_pboole(C,A) & m1_pboole(B,A) -> m1_pboole(k5_pboole(A,B,C),A))) # label(dt_k5_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5099 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r6_pboole(A,k2_pboole(A,B,C),k1_pboole(A)) -> r6_pboole(A,C,k1_pboole(A)) & r6_pboole(A,B,k1_pboole(A))))))) # label(t54_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5100 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r6_pboole(A,k4_pboole(A,B,k3_pboole(A,C,D)),k2_pboole(A,k4_pboole(A,B,C),k4_pboole(A,B,D))))))))) # label(t75_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5101 $T # label(t125_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5102 $T # label(t13_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5103 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r2_pboole(A,k3_pboole(A,B,C),C) & r2_pboole(A,k3_pboole(A,B,C),B))))) # label(t17_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5104 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r6_pboole(A,k4_pboole(A,k2_pboole(A,B,C),D),k2_pboole(A,k4_pboole(A,B,D),k4_pboole(A,C,D))))))))) # label(t78_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5105 $T # label(t31_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5106 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (v2_relat_1(B) & r2_pboole(A,B,C) -> v2_relat_1(C)))))) # label(t143_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5107 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k3_pboole(A,B,C),k5_pboole(A,k5_pboole(A,B,C),k2_pboole(A,B,C))))))) # label(t105_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5108 (all A all B (m1_pboole(B,A) -> r6_pboole(A,k3_pboole(A,k1_pboole(A),B),k1_pboole(A)) & r6_pboole(A,k3_pboole(A,B,k1_pboole(A)),k1_pboole(A)))) # label(t55_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5109 (all A all B (m1_pboole(B,A) -> r6_pboole(A,k5_pboole(A,k1_pboole(A),B),B) & r6_pboole(A,k5_pboole(A,B,k1_pboole(A)),B))) # label(t91_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5110 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k4_pboole(A,k2_pboole(A,B,C),k3_pboole(A,B,C)),k2_pboole(A,k4_pboole(A,B,C),k4_pboole(A,C,B))))))) # label(t83_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5111 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (all E (m1_pboole(E,A) -> (r2_pboole(A,D,E) & r2_pboole(A,B,C) -> r2_pboole(A,k3_pboole(A,B,D),k3_pboole(A,C,E))))))))))) # label(t23_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5112 (all A all B (m1_pboole(B,A) -> (exists C m2_pboole(C,A,B)))) # label(existence_m2_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5113 (all A all B (v2_relat_1(B) & m1_pboole(B,A) -> (exists C (m1_pboole(C,A) & r1_pboole(A,C,B))))) # label(t146_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5114 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r5_pboole(A,k3_pboole(A,B,C),k5_pboole(A,B,C)))))) # label(t120_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5115 (all A all B all C (m1_pboole(C,A) & m1_pboole(B,A) -> m1_pboole(k2_pboole(A,B,C),A))) # label(dt_k2_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5116 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r4_pboole(A,B,C) & r2_pboole(A,B,D) -> r4_pboole(A,D,C)))))))) # label(t109_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5117 (all A all B (m1_pboole(B,A) & v2_relat_1(B) -> (exists C (m4_pboole(C,A,B) & v1_funct_1(C) & v2_relat_1(C) & v1_relat_1(C))))) # label(rc5_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5118 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B all C k5_relat_1(k2_finseq_2(A,B),k2_funcop_1(k1_tarski(B),C)) = k2_finseq_2(A,C)))) # label(t152_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5119 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> -(-r4_pboole(A,B,C) & r4_pboole(A,k3_pboole(A,D,B),k3_pboole(A,D,C))))))))) # label(t114_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5120 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,C,D) & r2_pboole(A,B,C) -> r2_pboole(A,B,D)))))))) # label(t15_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5121 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r5_pboole(A,B,k4_pboole(A,C,B)))))) # label(t118_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5122 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r6_pboole(A,k4_pboole(A,B,k5_pboole(A,C,D)),k2_pboole(A,k4_pboole(A,B,k2_pboole(A,C,D)),k3_pboole(A,k3_pboole(A,B,C),D))))))))) # label(t97_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5123 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) & v2_relat_1(D) -> ((all E (m1_pboole(E,A) -> (r1_pboole(A,E,C) & r1_pboole(A,E,B) <-> r1_pboole(A,E,D)))) -> r6_pboole(A,D,k3_pboole(A,B,C))))))))) # label(t148_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5124 (all A all B all C (m1_pboole(C,A) & m1_pboole(B,A) -> k2_pboole(A,C,B) = k2_pboole(A,B,C))) # label(commutativity_k2_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5125 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k3_pboole(A,k4_pboole(A,B,C),C),k1_pboole(A)) & r6_pboole(A,k3_pboole(A,C,k4_pboole(A,B,C)),k1_pboole(A)))))) # label(t69_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5126 (all A all B all C (m1_pboole(C,A) & m1_pboole(B,A) & -v1_xboole_0(A) -> (r3_pboole(A,B,C) <-> r1_pboole(A,B,C)))) # label(redefinition_r3_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5127 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> r2_pboole(A,B,B))) # label(reflexivity_r2_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5128 $T # label(t107_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5129 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) -> (all C (m1_subset_1(C,k2_relat_1(B)) -> (exists D (C = k1_funct_1(B,D) & r2_hidden(D,A))))))))) # label(t150_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5130 (all A all B (m1_pboole(B,A) -> ((all C -(v1_xboole_0(k1_funct_1(B,C)) & r2_hidden(C,A))) <-> v2_relat_1(B)))) # label(d16_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5131 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r6_pboole(A,k4_pboole(A,B,k2_pboole(A,C,D)),k3_pboole(A,k4_pboole(A,B,C),k4_pboole(A,B,D))))))))) # label(t85_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5132 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> -(r4_pboole(A,B,C) & r6_pboole(A,k3_pboole(A,B,C),k1_pboole(A))))))))) # label(t139_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5133 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (D = k3_pboole(A,B,C) <-> (all E (r2_hidden(E,A) -> k1_funct_1(D,E) = k3_xboole_0(k1_funct_1(B,E),k1_funct_1(C,E))))))))))) # label(d8_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5134 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,B,C) & r2_pboole(A,B,D) -> r2_pboole(A,B,k3_pboole(A,C,D))))))))) # label(t19_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5135 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r6_pboole(A,k3_pboole(A,k3_pboole(A,B,C),D),k3_pboole(A,k3_pboole(A,B,D),k3_pboole(A,C,D))) & r6_pboole(A,k3_pboole(A,B,k3_pboole(A,C,D)),k3_pboole(A,k3_pboole(A,B,C),k3_pboole(A,B,D))))))))) # label(t46_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5136 (all A all B (m1_pboole(B,A) -> (v2_pboole(B,A) <-> v2_relat_1(B)))) # label(redefinition_v2_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5137 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> B = k3_pboole(A,B,B))) # label(idempotence_k3_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5138 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r4_pboole(A,B,C) <-> (all D -(r1_xboole_0(k1_funct_1(B,D),k1_funct_1(C,D)) & r2_hidden(D,A)))))))) # label(d10_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5139 (all A (v1_relat_1(A) & v1_funcop_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_funcop_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funcop_1(C) & v1_funct_1(C) -> ((all D (r2_hidden(D,k1_relat_1(C)) -> k1_funct_1(C,D) = k5_relat_1(k1_funct_1(A,D),k1_funct_1(B,D)))) & k3_xboole_0(k1_relat_1(A),k1_relat_1(B)) = k1_relat_1(C) <-> C = k13_pboole(A,B)))))))) # label(d24_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5140 (all A all B (v1_relat_1(A) & v1_funcop_1(A) & v1_relat_1(B) & v1_funcop_1(B) & v1_funct_1(B) & v1_funct_1(A) -> v1_relat_1(k13_pboole(A,B)) & v1_funct_1(k13_pboole(A,B)) & v1_funcop_1(k13_pboole(A,B)))) # label(dt_k13_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5141 (all A all B all C (m1_pboole(C,A) & m1_pboole(B,A) -> k5_pboole(A,B,C) = k5_pboole(A,C,B))) # label(commutativity_k5_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5142 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,B,C) & r6_pboole(A,k3_pboole(A,C,D),k1_pboole(A)) -> r6_pboole(A,k3_pboole(A,B,D),k1_pboole(A))))))))) # label(t52_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5143 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r6_pboole(A,k3_pboole(A,k3_pboole(A,B,C),D),k3_pboole(A,B,k3_pboole(A,C,D))))))))) # label(t35_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5144 (all A all B all C (m1_pboole(C,A) & m1_pboole(B,A) -> (all D (m3_pboole(D,A,B,C) -> m1_pboole(D,A))))) # label(dt_m3_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5145 $T # label(t32_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5146 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k2_pboole(A,B,C),k5_pboole(A,k5_pboole(A,B,C),k3_pboole(A,B,C))))))) # label(t104_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5147 (all A exists B (v1_funct_1(B) & v1_funcop_1(B) & v1_relat_1(B) & m1_pboole(B,A))) # label(rc4_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5148 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r6_pboole(A,B,k2_pboole(A,C,D)) <-> (all E (m1_pboole(E,A) -> (r2_pboole(A,D,E) & r2_pboole(A,C,E) -> r2_pboole(A,B,E)))) & r2_pboole(A,D,B) & r2_pboole(A,C,B)))))))) # label(t28_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5149 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (all E (m1_pboole(E,A) -> (r5_pboole(A,E,C) & r5_pboole(A,D,B) & r6_pboole(A,k2_pboole(A,B,C),k2_pboole(A,D,E)) -> r6_pboole(A,D,C) & r6_pboole(A,E,B)))))))))) # label(t124_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5150 (all A all B (m1_pboole(B,A) -> (v1_pboole(B,A) <-> v3_relat_1(B)))) # label(redefinition_v1_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5151 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r2_pboole(A,B,C) <-> r6_pboole(A,k4_pboole(A,B,C),k1_pboole(A))))))) # label(t58_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5152 (all A all B all C (m1_pboole(C,A) & m1_pboole(B,A) -> (r5_pboole(A,B,C) -> r5_pboole(A,C,B)))) # label(symmetry_r5_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5153 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) -> -r4_pboole(A,k1_pboole(A),B) & -r4_pboole(A,B,k1_pboole(A)))))) # label(t138_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5154 (all A (-v1_xboole_0(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C all D (m1_pboole(D,k1_tarski(C)) -> (k2_funcop_1(k1_tarski(C),A) = D -> k1_funct_2(k2_finseq_1(B),A) = k1_funct_1(k7_pboole(k5_numbers,k3_finseq_2(k1_tarski(C)),k9_pboole(C),k6_pboole(k1_tarski(C),D)),B)))))))) # label(t153_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5155 (all A all B (m1_pboole(B,A) -> r6_pboole(A,k4_pboole(A,k1_pboole(A),B),k1_pboole(A)))) # label(t66_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5156 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r2_pboole(A,B,C) -> r7_pboole(A,B,C)))))) # label(t130_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5157 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,B) -> m1_pboole(C,A))))) # label(dt_m4_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5158 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> (r6_pboole(A,B,C) -> r6_pboole(A,C,B)))) # label(symmetry_r6_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5159 (all A all B k1_xboole_0 = k1_funct_1(k1_pboole(B),A)) # label(t5_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5160 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,k4_pboole(A,B,C),D) -> r2_pboole(A,B,k2_pboole(A,C,D))))))))) # label(t88_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5161 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k2_pboole(A,k2_pboole(A,B,C),C),k2_pboole(A,B,C)) & r6_pboole(A,k2_pboole(A,B,k2_pboole(A,B,C)),k2_pboole(A,B,C)))))) # label(t47_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5162 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r5_pboole(A,C,D) & r2_pboole(A,B,D) & r2_pboole(A,B,C) -> r6_pboole(A,B,k1_pboole(A))))))))) # label(t123_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5163 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r6_pboole(A,k2_pboole(A,k3_pboole(A,B,C),k3_pboole(A,B,D)),B) -> r2_pboole(A,B,k2_pboole(A,C,D))))))))) # label(t40_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5164 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k2_pboole(A,k3_pboole(A,B,C),B),B) & r6_pboole(A,k2_pboole(A,k3_pboole(A,C,B),B),B) & r6_pboole(A,k2_pboole(A,B,k3_pboole(A,C,B)),B) & r6_pboole(A,k2_pboole(A,B,k3_pboole(A,B,C)),B))))) # label(t37_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5165 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r5_pboole(A,k3_pboole(A,B,C),k4_pboole(A,B,C)))))) # label(t119_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5166 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r6_pboole(A,k4_pboole(A,k3_pboole(A,B,C),D),k3_pboole(A,k4_pboole(A,B,D),k4_pboole(A,C,D))))))))) # label(t80_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5167 (all A k2_funcop_1(A,k1_xboole_0) = k1_pboole(A)) # label(d6_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5168 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,B,C) -> r2_pboole(A,k4_pboole(A,B,D),k4_pboole(A,C,D))))))))) # label(t59_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5169 (all A all B (m1_pboole(B,A) -> (exists C m4_pboole(C,A,B)))) # label(existence_m4_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5170 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (r2_hidden(D,A) -> k5_xboole_0(k1_funct_1(B,D),k1_funct_1(C,D)) = k1_funct_1(k5_pboole(A,B,C),D))))))) # label(t4_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5171 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v3_relat_1(A) <-> k1_xboole_0 = A | k2_relat_1(A) = k1_tarski(k1_xboole_0)))) # label(t2_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5172 (all A all B (m1_pboole(B,A) -> (all C (v1_funcop_1(C) & m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> ((all E (r2_hidden(E,A) -> k9_relat_1(k1_funct_1(C,E),k1_funct_1(B,E)) = k1_funct_1(D,E))) <-> k14_pboole(A,B,C) = D))))))) # label(d25_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5173 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k4_pboole(A,B,C),k5_pboole(A,C,k2_pboole(A,C,B))))))) # label(t103_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5174 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> -(r4_pboole(A,B,C) & (all D (m1_pboole(D,A) -> -(r1_pboole(A,D,C) & r1_pboole(A,D,B))))))))) # label(t11_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5175 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r2_pboole(A,B,C) -> r6_pboole(A,k2_pboole(A,C,B),C) & r6_pboole(A,k2_pboole(A,B,C),C)))))) # label(t24_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5176 (all A exists B (m1_pboole(B,A) & v1_relat_1(B) & v2_relat_1(B) & v1_funct_1(B))) # label(rc3_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5177 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k4_pboole(A,B,k4_pboole(A,B,C)),k3_pboole(A,B,C)))))) # label(t74_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5178 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r2_pboole(A,C,k2_pboole(A,B,C)) & r2_pboole(A,B,k2_pboole(A,B,C)))))) # label(t16_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5179 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (all E (m1_pboole(E,A) -> (r2_pboole(A,B,C) & r2_pboole(A,D,E) -> r2_pboole(A,k2_pboole(A,B,D),k2_pboole(A,C,E))))))))))) # label(t22_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5180 (all A all B (m1_pboole(B,A) -> v1_relat_1(B) & v1_funct_1(B))) # label(dt_m1_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5181 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r6_pboole(A,k4_pboole(A,B,C),k4_pboole(A,C,B)) -> r6_pboole(A,B,C)))))) # label(t86_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5182 (all A exists B (v1_relat_1(B) & v1_funct_1(B) & v3_relat_1(B) & m1_pboole(B,A))) # label(rc2_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5183 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k2_pboole(A,B,C),k5_pboole(A,B,k4_pboole(A,C,B))))))) # label(t100_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5184 (all A all B (m1_pboole(B,A) -> r6_pboole(A,k4_pboole(A,B,B),k1_pboole(A)))) # label(t64_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5185 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k4_pboole(A,k2_pboole(A,B,C),C),k4_pboole(A,B,C)))))) # label(t81_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5186 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r1_pboole(A,B,k3_pboole(A,C,D)) <-> r1_pboole(A,B,C) & r1_pboole(A,B,D)))))))) # label(t8_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5187 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (v3_relat_1(B) & r2_pboole(A,C,B) -> v3_relat_1(C)))))) # label(t142_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5188 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (m2_pboole(C,A,B) <-> (all D (r2_hidden(D,A) -> m1_subset_1(k1_funct_1(C,D),k1_funct_1(B,D))))))))) # label(d17_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5189 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> ((all E (r2_hidden(E,A) -> v1_funct_1(k1_funct_1(D,E)) & m2_relset_1(k1_funct_1(D,E),k1_funct_1(B,E),k1_funct_1(C,E)) & v1_funct_2(k1_funct_1(D,E),k1_funct_1(B,E),k1_funct_1(C,E)))) <-> m3_pboole(D,A,B,C)))))))) # label(d18_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5190 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r1_pboole(A,B,C) | r1_pboole(A,B,D) -> r1_pboole(A,B,k2_pboole(A,C,D))))))))) # label(t7_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5191 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (k2_pboole(A,B,C) = D <-> (all E (r2_hidden(E,A) -> k1_funct_1(D,E) = k2_xboole_0(k1_funct_1(B,E),k1_funct_1(C,E))))))))))) # label(d7_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5192 (all A all B all C (m1_pboole(C,A) & v1_funcop_1(C) & m1_pboole(B,A) -> m1_pboole(k14_pboole(A,B,C),A))) # label(dt_k14_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5193 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (v2_relat_1(B) & r7_pboole(A,B,C) -> v2_relat_1(C)))))) # label(t145_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5194 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (k12_pboole(A,B,C) = D <-> (all E (r2_hidden(E,A) -> k1_funct_2(k1_funct_1(B,E),k1_funct_1(C,E)) = k1_funct_1(D,E)))))))))) # label(d22_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5195 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (D = k11_pboole(A,B,C) <-> (all E (r2_hidden(E,A) -> k2_zfmisc_1(k1_funct_1(B,E),k1_funct_1(C,E)) = k1_funct_1(D,E)))))))))) # label(d21_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5196 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) -> (v2_relat_1(B) -> -v3_relat_1(B)))))) # label(cc1_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5197 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k4_pboole(A,k4_pboole(A,B,C),C),k4_pboole(A,B,C)))))) # label(t84_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5198 (all A -((all B -p1_s3_pboole(A,B)) & r2_hidden(A,f1_s3_pboole))) -> (exists A ((all B (r2_hidden(B,f1_s3_pboole) -> p1_s3_pboole(B,k1_funct_1(A,B)))) & m1_pboole(A,f1_s3_pboole))) # label(s3_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5199 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> (exists D m3_pboole(D,A,B,C)))) # label(existence_m3_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5200 (exists A (m1_pboole(A,f1_s2_pboole) & (all B (r2_hidden(B,f1_s2_pboole) -> (all C (p1_s2_pboole(B,C) & r2_hidden(C,k1_funct_1(f2_s2_pboole,B)) <-> r2_hidden(C,k1_funct_1(A,B)))))))) # label(s2_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5201 (exists A ((all B (m1_subset_1(B,f1_s5_pboole) -> k1_funct_1(A,B) = f2_s5_pboole(B))) & m1_pboole(A,f1_s5_pboole))) # label(s5_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5202 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r5_pboole(A,B,C) -> r6_pboole(A,k4_pboole(A,B,C),B)))))) # label(t126_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5203 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,B,k2_pboole(A,C,D)) & r6_pboole(A,k3_pboole(A,B,D),k1_pboole(A)) -> r2_pboole(A,B,C)))))))) # label(t56_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5204 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k2_pboole(A,B,k4_pboole(A,C,B)),k2_pboole(A,B,C)) & r6_pboole(A,k2_pboole(A,k4_pboole(A,C,B),B),k2_pboole(A,C,B)))))) # label(t73_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5205 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r6_pboole(A,k3_pboole(A,B,C),k1_pboole(A)) <-> r6_pboole(A,k4_pboole(A,B,C),B)))))) # label(t77_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5206 (all A all B all C all D (v1_funct_2(C,A,B) & m1_relset_1(C,A,B) & m1_pboole(D,B) & v2_relat_1(D) & v1_funct_1(C) & -v1_xboole_0(B) -> v2_relat_1(k8_pboole(A,B,C,D)) & m1_pboole(k8_pboole(A,B,C,D),A))) # label(dt_k8_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5207 (all A all B (m1_pboole(B,A) -> (all C (v2_relat_1(C) & m1_pboole(C,A) -> ((all D (m1_pboole(D,A) -> (r1_pboole(A,D,B) <-> r1_pboole(A,D,C)))) -> r6_pboole(A,C,B)))))) # label(t147_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5208 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k4_pboole(A,B,C),k5_pboole(A,B,k3_pboole(A,B,C))))))) # label(t102_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5209 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> ((all D (r2_hidden(D,A) -> r1_xboole_0(k1_funct_1(B,D),k1_funct_1(C,D)))) <-> r5_pboole(A,B,C)))))) # label(d11_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5210 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r6_pboole(A,k2_pboole(A,k2_pboole(A,k3_pboole(A,B,C),k3_pboole(A,C,D)),k3_pboole(A,D,B)),k3_pboole(A,k3_pboole(A,k2_pboole(A,B,C),k2_pboole(A,C,D)),k2_pboole(A,D,B))))))))) # label(t42_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5211 (all A all B k2_funcop_1(A,B) = k10_pboole(A,B)) # label(redefinition_k10_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5212 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> -(-r5_pboole(A,B,C) & r2_pboole(A,C,D) & r5_pboole(A,B,D)))))))) # label(t116_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5213 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r6_pboole(A,k3_pboole(A,B,k4_pboole(A,C,D)),k4_pboole(A,k3_pboole(A,B,C),D)))))))) # label(t68_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5214 (all A all B all C all D (-v1_xboole_0(B) & v1_funct_1(C) & m1_relset_1(C,A,B) & m1_pboole(D,B) & v1_funct_2(C,A,B) -> k5_relat_1(C,D) = k7_pboole(A,B,C,D))) # label(redefinition_k7_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5215 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r6_pboole(A,k4_pboole(A,k5_pboole(A,B,C),D),k2_pboole(A,k4_pboole(A,B,k2_pboole(A,C,D)),k4_pboole(A,C,k2_pboole(A,B,D)))))))))) # label(t96_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5216 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,B,C) -> r2_pboole(A,k2_pboole(A,D,B),k2_pboole(A,D,C)) & r2_pboole(A,k2_pboole(A,B,D),k2_pboole(A,C,D))))))))) # label(t20_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5217 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (all E (m1_pboole(E,A) -> (r2_pboole(A,B,C) & r2_pboole(A,D,E) -> r2_pboole(A,k4_pboole(A,B,E),k4_pboole(A,C,D))))))))))) # label(t61_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5218 (all A all B (m1_pboole(B,A) -> -(r5_pboole(A,B,B) & B != k1_pboole(A)))) # label(t122_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5219 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r2_pboole(A,B,C) -> r6_pboole(A,k3_pboole(A,C,B),B) & r6_pboole(A,k3_pboole(A,B,C),B)))))) # label(t25_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5220 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,B,k2_pboole(A,C,D)) -> r2_pboole(A,k4_pboole(A,B,C),D) & r2_pboole(A,k4_pboole(A,B,D),C)))))))) # label(t82_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5221 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r6_pboole(A,k3_pboole(A,B,k4_pboole(A,C,D)),k4_pboole(A,k3_pboole(A,B,C),k3_pboole(A,B,D))))))))) # label(t87_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5222 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> -(r3_pboole(A,B,D) & k3_pboole(A,C,D) = k1_pboole(A) & r3_pboole(A,B,C)))))))))) # label(t137_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5223 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (D = k4_pboole(A,B,C) <-> (all E (r2_hidden(E,A) -> k1_funct_1(D,E) = k4_xboole_0(k1_funct_1(B,E),k1_funct_1(C,E))))))))))) # label(d9_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5224 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,B,C) -> r2_pboole(A,k3_pboole(A,D,B),k3_pboole(A,D,C)) & r2_pboole(A,k3_pboole(A,B,D),k3_pboole(A,C,D))))))))) # label(t21_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5225 $T # label(d1_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5226 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r6_pboole(A,k2_pboole(A,B,k3_pboole(A,C,D)),k3_pboole(A,k2_pboole(A,B,C),k2_pboole(A,B,D))) & r6_pboole(A,k2_pboole(A,k3_pboole(A,C,D),B),k3_pboole(A,k2_pboole(A,C,B),k2_pboole(A,D,B))))))))) # label(t39_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5227 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r4_pboole(A,B,C) & r2_pboole(A,C,D) -> r4_pboole(A,B,D)))))))) # label(t108_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5228 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r1_pboole(A,B,C) <-> (all D (r2_hidden(D,A) -> r2_hidden(k1_funct_1(B,D),k1_funct_1(C,D))))))))) # label(d4_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5229 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r6_pboole(A,k4_pboole(A,B,k4_pboole(A,C,D)),k2_pboole(A,k4_pboole(A,B,C),k3_pboole(A,B,D))))))))) # label(t70_pboole) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5230 (all A (v1_funct_1(A) & v1_funct_2(A,k5_numbers,k1_numbers) & m2_relset_1(A,k5_numbers,k1_numbers) -> ((all B (m2_subset_1(B,k1_numbers,k5_numbers) -> k6_real_1(np__1,k1_nat_1(B,np__1)) = k8_funct_2(k5_numbers,k1_numbers,A,B))) -> v4_seq_2(A) & k2_seq_2(A) = np__0))) # label(t45_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5231 $T # label(t5_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5232 (all A (v1_funct_2(A,k5_numbers,k1_numbers) & m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_1(A) -> (v4_seq_2(A) -> k2_seq_2(A) = np__0 | (all B (v1_funct_1(B) & m2_relset_1(B,k5_numbers,k1_numbers) & v1_funct_2(B,k5_numbers,k1_numbers) -> (v2_relat_1(B) & m1_seqm_3(B,A) -> k2_real_1(k2_seq_2(A)) = k2_seq_2(k18_seq_1(B)))))))) # label(t42_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5233 (all A (m1_subset_1(A,k1_zfmisc_1(k1_numbers)) -> (v3_seq_4(A) -> r1_xreal_0(k5_seq_4(A),k4_seq_4(A)) | v1_xboole_0(A)))) # label(t24_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5234 (all A (v1_xreal_0(A) -> k5_seq_4(k1_seq_4(A)) = A & A = k4_seq_4(k1_seq_4(A)))) # label(t22_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5235 (all A (v1_funct_1(A) & m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_2(A,k5_numbers,k1_numbers) -> ((all B (v1_xreal_0(B) -> -(-r1_xreal_0(B,np__0) & (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (exists D (m2_subset_1(D,k1_numbers,k5_numbers) & r1_xreal_0(C,D) & r1_xreal_0(B,k18_complex1(k5_real_1(k8_funct_2(k5_numbers,k1_numbers,A,D),k8_funct_2(k5_numbers,k1_numbers,A,C))))))))))) <-> v4_seq_2(A)))) # label(t58_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5236 (all A (v1_xreal_0(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,k5_numbers,k1_numbers) & v1_funct_2(B,k5_numbers,k1_numbers) -> ((all C (m2_subset_1(C,k1_numbers,k5_numbers) -> k8_funct_2(k5_numbers,k1_numbers,B,C) = k7_xcmplx_0(np__1,k2_xcmplx_0(C,A)))) -> r1_xreal_0(A,np__0) | k2_seq_2(B) = np__0))))) # label(t44_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5237 (all A (v1_funct_1(A) & m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_2(A,k5_numbers,k1_numbers) -> (exists B (v1_funct_2(B,k5_numbers,k1_numbers) & v1_seqm_3(B) & v7_seqm_3(B) & m2_relset_1(B,k5_numbers,k1_numbers) & v6_seqm_3(k3_seqm_3(B,A)) & v1_funct_1(B))))) # label(t56_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5238 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_relset_1(B,k5_numbers,k1_numbers) & v1_funct_2(B,k5_numbers,k1_numbers) & v1_funct_1(B) -> (v4_seq_2(B) -> k2_seq_2(B) = k2_seq_2(k1_seqm_3(B,A)) & v4_seq_2(k1_seqm_3(B,A))))))) # label(t33_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5239 (all A (-v1_xboole_0(A) & v2_membered(A) -> (all B (v2_membered(B) -> (r1_tarski(A,B) & v2_seq_4(B) -> r1_xreal_0(k3_seq_4(B),k3_seq_4(A))))))) # label(t64_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5240 (all A (v1_xreal_0(A) -> k4_seq_4(k1_seq_4(A)) = k5_seq_4(k1_seq_4(A)))) # label(t23_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5241 (all A (m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_2(A,k5_numbers,k1_numbers) & v1_funct_1(A) -> -(v4_seq_2(A) & np__0 != k2_seq_2(A) & (all B (v1_funct_2(B,k5_numbers,k1_numbers) & m2_relset_1(B,k5_numbers,k1_numbers) & v1_funct_1(B) -> -(v2_relat_1(B) & m1_seqm_3(B,A))))))) # label(t38_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5242 $T # label(t21_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5243 (all A (m1_subset_1(A,k1_zfmisc_1(k1_numbers)) -> (v3_seq_4(A) <-> v2_seq_4(A) & v1_seq_4(A)))) # label(d3_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5244 (all A (v1_funct_1(A) & v1_funct_2(A,k5_numbers,k1_numbers) & m2_relset_1(A,k5_numbers,k1_numbers) -> -((all B (v1_funct_1(B) & m2_relset_1(B,k5_numbers,k1_numbers) & v1_funct_2(B,k5_numbers,k1_numbers) -> -(m1_seqm_3(B,A) & v4_seq_2(B)))) & v3_seq_2(A)))) # label(t57_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5245 (all A (v2_membered(A) -> v1_xreal_0(k2_seq_4(A)))) # label(dt_k2_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5246 (all A (m1_subset_1(A,k1_zfmisc_1(k1_numbers)) -> m1_subset_1(k4_seq_4(A),k1_numbers))) # label(dt_k4_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5247 (all A (v1_funct_1(A) & m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_2(A,k5_numbers,k1_numbers) -> (all B (v1_funct_1(B) & m2_relset_1(B,k5_numbers,k1_numbers) & v1_funct_2(B,k5_numbers,k1_numbers) -> (v4_seq_2(A) -> k2_seq_2(B) = k2_seq_2(A) | (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (exists D (r1_xreal_0(C,D) & k8_funct_2(k5_numbers,k1_numbers,A,D) != k8_funct_2(k5_numbers,k1_numbers,B,D) & m2_subset_1(D,k1_numbers,k5_numbers)))))))))) # label(t32_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5248 (all A (v2_membered(A) -> -((all B (v1_xreal_0(B) -> -((all C (v1_xreal_0(C) -> (r2_hidden(C,A) -> r1_xreal_0(C,B)))) & (all C (v1_xreal_0(C) -> -((all D (v1_xreal_0(D) -> -(r2_hidden(D,A) & -r1_xreal_0(D,k6_xcmplx_0(B,C))))) & -r1_xreal_0(C,np__0))))))) & v1_seq_4(A) & -v1_xboole_0(A)))) # label(t16_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5249 (all A (m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_2(A,k5_numbers,k1_numbers) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,k5_numbers,k1_numbers) & m2_relset_1(B,k5_numbers,k1_numbers) -> (v4_seq_2(A) -> v4_seq_2(B) | (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> A != k1_seqm_3(B,C)))))))) # label(t35_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5250 (all A (v1_xreal_0(A) -> (all B (-v1_xboole_0(B) & v2_membered(B) -> ((all C (v1_xreal_0(C) -> ((all D (v1_xreal_0(D) -> (r2_hidden(D,B) -> r1_xreal_0(C,D)))) -> r1_xreal_0(C,A)))) & (all C (v1_xreal_0(C) -> (r2_hidden(C,B) -> r1_xreal_0(A,C)))) -> A = k3_seq_4(B)))))) # label(t61_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5251 $T # label(t11_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5252 (all A (v2_membered(A) -> (v2_seq_4(A) <-> (exists B (v1_xreal_0(B) & (all C (v1_xreal_0(C) -> (r2_hidden(C,A) -> r1_xreal_0(B,C))))))))) # label(d2_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5253 (all A (v1_funct_2(A,k5_numbers,k1_numbers) & m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_1(A) -> (v5_seqm_3(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> k2_seq_2(A) = k8_funct_2(k5_numbers,k1_numbers,A,B)))))) # label(t41_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5254 (all A (v1_xreal_0(A) -> -(all B (m2_subset_1(B,k1_numbers,k5_numbers) -> r1_xreal_0(B,A))))) # label(t10_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.53	5255 (all A (v1_funct_1(A) & v1_funct_2(A,k5_numbers,k1_numbers) & m2_relset_1(A,k5_numbers,k1_numbers) -> ((all B (m2_subset_1(B,k1_numbers,k5_numbers) -> k6_real_1(np__1,k1_nat_1(k2_nat_1(B,B),np__1)) = k8_funct_2(k5_numbers,k1_numbers,A,B))) -> np__0 = k2_seq_2(A) & v4_seq_2(A)))) # label(t49_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5256 (all A (m1_subset_1(A,k1_zfmisc_1(k1_numbers)) -> ((exists B ((all C (v1_xreal_0(C) -> -(r1_xreal_0(B,k18_complex1(C)) & r2_hidden(C,A)))) & -r1_xreal_0(B,np__0) & v1_xreal_0(B))) <-> v3_seq_4(A)))) # label(t14_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5257 (all A (v2_membered(A) & -v1_xboole_0(A) -> (all B (v2_membered(B) -> (r1_tarski(A,B) & v1_seq_4(B) -> r1_xreal_0(k2_seq_4(A),k2_seq_4(B))))))) # label(t65_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5258 (all A (v1_funct_2(A,k5_numbers,k1_numbers) & m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_1(A) -> (v6_seqm_3(A) & v3_seq_2(A) -> v4_seq_2(A)))) # label(t53_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5259 $T # label(t2_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5260 $T # label(t34_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5261 (all A (v1_xreal_0(A) -> v3_seq_4(k1_seq_4(A)))) # label(t15_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5262 (all A (m1_subset_1(A,k1_zfmisc_1(k1_numbers)) -> (v3_seq_4(A) -> -((all B (v1_xreal_0(B) -> (all C (v1_xreal_0(C) -> -(r2_hidden(B,A) & r2_hidden(C,A) & C != B))))) & -r1_xreal_0(k4_seq_4(A),k5_seq_4(A))) & -(r1_xreal_0(k4_seq_4(A),k5_seq_4(A)) & (exists B ((exists C (v1_xreal_0(C) & C != B & r2_hidden(C,A) & r2_hidden(B,A))) & v1_xreal_0(B)))) | v1_xboole_0(A)))) # label(t25_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5263 (all A (v2_membered(A) -> v1_xreal_0(k3_seq_4(A)))) # label(dt_k3_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5264 $T # label(t13_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5265 (all A (v1_xreal_0(A) -> (all B (v1_xreal_0(B) -> (all C (v2_membered(C) -> ((all D (v1_xreal_0(D) -> (r2_hidden(D,C) -> r1_xreal_0(B,D)))) & (all D (v1_xreal_0(D) -> -(-r1_xreal_0(D,np__0) & (all E (v1_xreal_0(E) -> -(-r1_xreal_0(k2_xcmplx_0(B,D),E) & r2_hidden(E,C))))))) & (all D (v1_xreal_0(D) -> -(-r1_xreal_0(D,np__0) & (all E (v1_xreal_0(E) -> -(-r1_xreal_0(k2_xcmplx_0(A,D),E) & r2_hidden(E,C))))))) & (all D (v1_xreal_0(D) -> (r2_hidden(D,C) -> r1_xreal_0(A,D)))) -> A = B))))))) # label(t19_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5266 $T # label(t7_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5267 (all A (m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_2(A,k5_numbers,k1_numbers) & v1_funct_1(A) -> (v4_seq_2(A) -> v4_seq_2(k22_seq_1(A))))) # label(t26_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5268 (all A (v1_funct_1(A) & m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_2(A,k5_numbers,k1_numbers) -> (all B (v1_funct_1(B) & v1_funct_2(B,k5_numbers,k1_numbers) & m2_relset_1(B,k5_numbers,k1_numbers) -> (v4_seq_2(A) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> A != k1_seqm_3(B,C))) | k2_seq_2(B) = k2_seq_2(A)))))) # label(t36_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5269 (all A (v1_funct_1(A) & m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_2(A,k5_numbers,k1_numbers) -> -((all B (m2_subset_1(B,k1_numbers,k5_numbers) -> -v2_relat_1(k1_seqm_3(A,B)))) & k2_seq_2(A) != np__0 & v4_seq_2(A)))) # label(t37_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5270 (all A (v1_funct_2(A,k5_numbers,k1_numbers) & m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_1(A) -> (v1_seq_2(A) & v3_seqm_3(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> r1_xreal_0(k8_funct_2(k5_numbers,k1_numbers,A,B),k2_seq_2(A))))))) # label(t54_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5271 (all A (v1_xreal_0(A) -> (all B (v1_xreal_0(B) -> (all C (m2_relset_1(C,k5_numbers,k1_numbers) & v1_funct_2(C,k5_numbers,k1_numbers) & v1_funct_1(C) -> ((all D (m2_subset_1(D,k1_numbers,k5_numbers) -> k7_xcmplx_0(B,k2_xcmplx_0(D,A)) = k8_funct_2(k5_numbers,k1_numbers,C,D))) -> v4_seq_2(C) & k2_seq_2(C) = np__0 | r1_xreal_0(A,np__0)))))))) # label(t46_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5272 (all A (m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_2(A,k5_numbers,k1_numbers) & v1_funct_1(A) -> (all B (v1_funct_2(B,k5_numbers,k1_numbers) & m2_relset_1(B,k5_numbers,k1_numbers) & v1_funct_1(B) -> (v4_seq_2(B) & m1_seqm_3(A,B) -> k2_seq_2(B) = k2_seq_2(A)))))) # label(t30_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5273 (all A (v1_xreal_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_numbers)) -> ((all C (v1_xreal_0(C) -> (r2_hidden(C,B) -> r2_hidden(k2_xcmplx_0(C,A),B)))) -> r1_xreal_0(A,np__0) | (all C (v1_xreal_0(C) -> -r2_hidden(C,B))) | (all C (v1_xreal_0(C) -> (exists D (r2_hidden(D,B) & -r1_xreal_0(D,C) & v1_xreal_0(D)))))))))) # label(t9_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5274 (all A (v2_membered(A) -> ((exists B (v1_xreal_0(B) & (all C (v1_xreal_0(C) -> (r2_hidden(C,A) -> r1_xreal_0(C,B)))))) <-> v1_seq_4(A)))) # label(d1_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5275 (all A (m1_subset_1(A,k1_zfmisc_1(k1_numbers)) -> k4_seq_4(A) = k2_seq_4(A))) # label(redefinition_k4_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5276 $T # label(t1_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5277 (all A (v1_xreal_0(A) -> k1_seq_4(A) = k1_tarski(A))) # label(redefinition_k1_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5278 (all A (v1_funct_1(A) & v1_funct_2(A,k5_numbers,k1_numbers) & m2_relset_1(A,k5_numbers,k1_numbers) -> (all B (v1_funct_1(B) & v1_funct_2(B,k5_numbers,k1_numbers) & m2_relset_1(B,k5_numbers,k1_numbers) -> (m1_seqm_3(A,B) & v4_seq_2(B) -> v4_seq_2(A)))))) # label(t29_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5279 (all A (v2_membered(A) & -v1_xboole_0(A) -> (all B (v1_xreal_0(B) -> (all C (v1_xreal_0(C) -> ((all D (v1_xreal_0(D) -> (r2_hidden(D,A) -> r1_xreal_0(D,C)))) -> r1_xreal_0(k2_seq_4(A),C)))))))) # label(t62_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5280 (all A (v1_xreal_0(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,k5_numbers,k1_numbers) & v1_funct_2(B,k5_numbers,k1_numbers) -> (v5_seqm_3(B) & (exists C (m2_subset_1(C,k1_numbers,k5_numbers) & A = k8_funct_2(k5_numbers,k1_numbers,B,C))) | r2_hidden(A,k2_relat_1(B)) & v5_seqm_3(B) -> A = k2_seq_2(B)))))) # label(t40_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5281 $T # label(t6_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5282 (all A (v1_funct_1(A) & v1_funct_2(A,k5_numbers,k1_numbers) & m2_relset_1(A,k5_numbers,k1_numbers) -> (v4_seqm_3(A) & v2_seq_2(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> r1_xreal_0(k2_seq_2(A),k8_funct_2(k5_numbers,k1_numbers,A,B))))))) # label(t55_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5283 $T # label(t4_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5284 (all A (v2_membered(A) -> -(v2_seq_4(A) & (all B (v1_xreal_0(B) -> -((all C (v1_xreal_0(C) -> (r2_hidden(C,A) -> r1_xreal_0(B,C)))) & (all C (v1_xreal_0(C) -> -(-r1_xreal_0(C,np__0) & (all D (v1_xreal_0(D) -> -(r2_hidden(D,A) & -r1_xreal_0(k2_xcmplx_0(B,C),D)))))))))) & -v1_xboole_0(A)))) # label(t18_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5285 (all A (v1_funct_1(A) & v1_funct_2(A,k5_numbers,k1_numbers) & m2_relset_1(A,k5_numbers,k1_numbers) -> (v5_seqm_3(A) -> v4_seq_2(A)))) # label(t39_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5286 (all A (v1_funct_1(A) & v1_funct_2(A,k5_numbers,k1_numbers) & m2_relset_1(A,k5_numbers,k1_numbers) -> (v4_seq_2(A) -> k2_seq_2(k22_seq_1(A)) = k18_complex1(k2_seq_2(A))))) # label(t27_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5287 (all A (v2_membered(A) & -v1_xboole_0(A) -> (all B (v1_xreal_0(B) -> ((all C (v1_xreal_0(C) -> (r2_hidden(C,A) -> r1_xreal_0(B,C)))) -> r1_xreal_0(B,k3_seq_4(A))))))) # label(t60_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5288 $T # label(t12_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5289 $T # label(t20_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5290 (all A (m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_2(A,k5_numbers,k1_numbers) & v1_funct_1(A) -> (v4_seq_2(k22_seq_1(A)) & k2_seq_2(k22_seq_1(A)) = np__0 -> v4_seq_2(A) & np__0 = k2_seq_2(A)))) # label(t28_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5291 (all A (v1_xreal_0(A) -> (all B (m2_relset_1(B,k5_numbers,k1_numbers) & v1_funct_2(B,k5_numbers,k1_numbers) & v1_funct_1(B) -> ((all C (m2_subset_1(C,k1_numbers,k5_numbers) -> k8_funct_2(k5_numbers,k1_numbers,B,C) = k7_xcmplx_0(np__1,k2_xcmplx_0(C,A)))) -> v4_seq_2(B) | r1_xreal_0(A,np__0)))))) # label(t43_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5292 (all A (v1_funct_1(A) & m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_2(A,k5_numbers,k1_numbers) -> (v3_seqm_3(A) & v1_seq_2(A) -> v4_seq_2(A)))) # label(t51_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5293 (all A (-v1_xboole_0(A) & v2_membered(A) -> (all B (v1_xreal_0(B) -> ((all C (v1_xreal_0(C) -> (r2_hidden(C,A) -> r1_xreal_0(C,B)))) & (all C (v1_xreal_0(C) -> ((all D (v1_xreal_0(D) -> (r2_hidden(D,A) -> r1_xreal_0(D,C)))) -> r1_xreal_0(B,C)))) -> k2_seq_4(A) = B))))) # label(t63_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5294 (all A (v1_xreal_0(A) -> (all B (v1_xreal_0(B) -> (all C (v2_membered(C) -> ((all D (v1_xreal_0(D) -> (r2_hidden(D,C) -> r1_xreal_0(D,A)))) & (all D (v1_xreal_0(D) -> -(-r1_xreal_0(D,np__0) & (all E (v1_xreal_0(E) -> -(r2_hidden(E,C) & -r1_xreal_0(E,k6_xcmplx_0(A,D)))))))) & (all D (v1_xreal_0(D) -> (r2_hidden(D,C) -> r1_xreal_0(D,B)))) & (all D (v1_xreal_0(D) -> -((all E (v1_xreal_0(E) -> -(r2_hidden(E,C) & -r1_xreal_0(E,k6_xcmplx_0(B,D))))) & -r1_xreal_0(D,np__0)))) -> A = B))))))) # label(t17_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5295 (all A (v1_funct_2(A,k5_numbers,k1_numbers) & m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_1(A) -> (all B (v1_funct_2(B,k5_numbers,k1_numbers) & m2_relset_1(B,k5_numbers,k1_numbers) & v1_funct_1(B) -> (v5_seqm_3(A) & v4_seq_2(B) -> k2_seq_2(k11_seq_1(A,B)) = k4_real_1(k8_funct_2(k5_numbers,k1_numbers,A,np__0),k2_seq_2(B)) & k5_real_1(k2_seq_2(B),k8_funct_2(k5_numbers,k1_numbers,A,np__0)) = k2_seq_2(k10_seq_1(B,A)) & k2_seq_2(k10_seq_1(A,B)) = k5_real_1(k8_funct_2(k5_numbers,k1_numbers,A,np__0),k2_seq_2(B)) & k2_seq_2(k9_seq_1(A,B)) = k3_real_1(k8_funct_2(k5_numbers,k1_numbers,A,np__0),k2_seq_2(B))))))) # label(t59_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5296 (all A (v1_xreal_0(A) -> m1_subset_1(k1_seq_4(A),k1_zfmisc_1(k1_numbers)))) # label(dt_k1_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5297 (all A (m1_relset_1(A,k5_numbers,k1_numbers) -> (v1_funct_1(A) & v5_seqm_3(A) & v1_funct_2(A,k5_numbers,k1_numbers) -> v1_funct_1(A) & v4_seq_2(A) & v1_seq_1(A) & v1_funct_2(A,k5_numbers,k1_numbers)))) # label(cc1_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5298 (all A (v1_xreal_0(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,k5_numbers,k1_numbers) & m2_relset_1(B,k5_numbers,k1_numbers) -> ((all C (m2_subset_1(C,k1_numbers,k5_numbers) -> k8_funct_2(k5_numbers,k1_numbers,B,C) = k7_xcmplx_0(np__1,k2_xcmplx_0(k2_nat_1(C,C),A)))) -> r1_xreal_0(A,np__0) | k2_seq_2(B) = np__0))))) # label(t48_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5299 (all A (m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_2(A,k5_numbers,k1_numbers) & v1_funct_1(A) -> (v2_seq_2(A) & v4_seqm_3(A) -> v4_seq_2(A)))) # label(t52_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5300 (all A (v2_membered(A) -> (v1_seq_4(A) -> v1_xboole_0(A) | (all B (v1_xreal_0(B) -> (k2_seq_4(A) = B <-> (all C (v1_xreal_0(C) -> -((all D (v1_xreal_0(D) -> -(-r1_xreal_0(D,k6_xcmplx_0(B,C)) & r2_hidden(D,A)))) & -r1_xreal_0(C,np__0)))) & (all C (v1_xreal_0(C) -> (r2_hidden(C,A) -> r1_xreal_0(C,B)))))))))) # label(d4_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5301 (all A (m1_subset_1(A,k1_zfmisc_1(k1_numbers)) -> m1_subset_1(k5_seq_4(A),k1_numbers))) # label(dt_k5_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5302 (all A (v1_xreal_0(A) -> (all B (v1_xreal_0(B) -> (all C (m2_relset_1(C,k5_numbers,k1_numbers) & v1_funct_2(C,k5_numbers,k1_numbers) & v1_funct_1(C) -> ((all D (m2_subset_1(D,k1_numbers,k5_numbers) -> k7_xcmplx_0(B,k2_xcmplx_0(k2_nat_1(D,D),A)) = k8_funct_2(k5_numbers,k1_numbers,C,D))) -> k2_seq_2(C) = np__0 & v4_seq_2(C) | r1_xreal_0(A,np__0)))))))) # label(t50_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5303 $T # label(t3_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5304 (all A (m1_subset_1(A,k1_zfmisc_1(k1_numbers)) -> k3_seq_4(A) = k5_seq_4(A))) # label(redefinition_k5_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5305 (all A (v1_funct_2(A,k5_numbers,k1_numbers) & m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_1(A) -> (all B (v1_funct_2(B,k5_numbers,k1_numbers) & m2_relset_1(B,k5_numbers,k1_numbers) & v1_funct_1(B) -> (v4_seq_2(A) -> v4_seq_2(B) | (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (exists D (k8_funct_2(k5_numbers,k1_numbers,B,D) != k8_funct_2(k5_numbers,k1_numbers,A,D) & r1_xreal_0(C,D) & m2_subset_1(D,k1_numbers,k5_numbers)))))))))) # label(t31_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5306 (all A (m1_subset_1(A,k1_zfmisc_1(k1_numbers)) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_numbers)) -> -((all C (v1_xreal_0(C) -> (exists D (v1_xreal_0(D) & (exists E (r2_hidden(E,B) & -(r1_xreal_0(D,C) & r1_xreal_0(C,E)) & r2_hidden(D,A) & v1_xreal_0(E))))))) & (all C (v1_xreal_0(C) -> (all D (v1_xreal_0(D) -> -(r2_hidden(D,B) & r1_xreal_0(D,C) & r2_hidden(C,A))))))))))) # label(t8_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5307 (all A (v2_membered(A) -> (v2_seq_4(A) -> v1_xboole_0(A) | (all B (v1_xreal_0(B) -> ((all C (v1_xreal_0(C) -> -(-r1_xreal_0(C,np__0) & (all D (v1_xreal_0(D) -> -(-r1_xreal_0(k2_xcmplx_0(B,C),D) & r2_hidden(D,A))))))) & (all C (v1_xreal_0(C) -> (r2_hidden(C,A) -> r1_xreal_0(B,C)))) <-> B = k3_seq_4(A))))))) # label(d5_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5308 (all A (v1_xreal_0(A) -> (all B (m2_relset_1(B,k5_numbers,k1_numbers) & v1_funct_2(B,k5_numbers,k1_numbers) & v1_funct_1(B) -> ((all C (m2_subset_1(C,k1_numbers,k5_numbers) -> k7_xcmplx_0(np__1,k2_xcmplx_0(k2_nat_1(C,C),A)) = k8_funct_2(k5_numbers,k1_numbers,B,C))) -> v4_seq_2(B) | r1_xreal_0(A,np__0)))))) # label(t47_seq_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5309 (exists A (m2_relset_1(A,k4_zfmisc_1(f1_s8_multop_1,f1_s8_multop_1,f1_s8_multop_1,f1_s8_multop_1),f1_s8_multop_1) & (all B (m1_subset_1(B,f1_s8_multop_1) -> (all C (m1_subset_1(C,f1_s8_multop_1) -> (all D (m1_subset_1(D,f1_s8_multop_1) -> (all E (m1_subset_1(E,f1_s8_multop_1) -> k4_multop_1(f1_s8_multop_1,f1_s8_multop_1,f1_s8_multop_1,f1_s8_multop_1,f1_s8_multop_1,A,B,C,D,E) = f2_s8_multop_1(B,C,D,E))))))))) & v1_funct_2(A,k4_zfmisc_1(f1_s8_multop_1,f1_s8_multop_1,f1_s8_multop_1,f1_s8_multop_1),f1_s8_multop_1) & v1_funct_1(A))) # label(s8_multop_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5310 (all A all B all C all D all E all F all G all H all I all J (-v1_xboole_0(B) & -v1_xboole_0(E) & m1_relset_1(F,k4_zfmisc_1(A,B,C,D),E) & m1_subset_1(J,D) & m1_subset_1(I,C) & m1_subset_1(H,B) & m1_subset_1(G,A) & v1_funct_2(F,k4_zfmisc_1(A,B,C,D),E) & v1_funct_1(F) & -v1_xboole_0(D) & -v1_xboole_0(C) & -v1_xboole_0(A) -> m1_subset_1(k4_multop_1(A,B,C,D,E,F,G,H,I,J),E))) # label(dt_k4_multop_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5311 (all A (m1_subset_1(A,f1_s1_multop_1) -> (all B (m1_subset_1(B,f2_s1_multop_1) -> (all C (m1_subset_1(C,f3_s1_multop_1) -> (exists D (p1_s1_multop_1(A,B,C,D) & m1_subset_1(D,f4_s1_multop_1))))))))) -> (exists A (v1_funct_1(A) & (all B (m1_subset_1(B,f1_s1_multop_1) -> (all C (m1_subset_1(C,f2_s1_multop_1) -> (all D (m1_subset_1(D,f3_s1_multop_1) -> p1_s1_multop_1(B,C,D,k8_funct_2(k3_zfmisc_1(f1_s1_multop_1,f2_s1_multop_1,f3_s1_multop_1),f4_s1_multop_1,A,k4_domain_1(f1_s1_multop_1,f2_s1_multop_1,f3_s1_multop_1,B,C,D))))))))) & m2_relset_1(A,k3_zfmisc_1(f1_s1_multop_1,f2_s1_multop_1,f3_s1_multop_1),f4_s1_multop_1) & v1_funct_2(A,k3_zfmisc_1(f1_s1_multop_1,f2_s1_multop_1,f3_s1_multop_1),f4_s1_multop_1))) # label(s1_multop_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5312 (all A (-v1_xboole_0(A) -> (all B all C all D all E all F (v1_funct_1(F) & m2_relset_1(F,k4_zfmisc_1(B,C,D,E),A) & v1_funct_2(F,k4_zfmisc_1(B,C,D,E),A) -> (all G (v1_funct_1(G) & v1_funct_2(G,k4_zfmisc_1(B,C,D,E),A) & m2_relset_1(G,k4_zfmisc_1(B,C,D,E),A) -> ((all H all I all J all K (r2_hidden(I,C) & r2_hidden(K,E) & r2_hidden(J,D) & r2_hidden(H,B) -> k1_funct_1(F,k4_mcart_1(H,I,J,K)) = k1_funct_1(G,k4_mcart_1(H,I,J,K)))) -> G = F))))))) # label(t6_multop_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5313 $T # label(dt_k1_multop_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5314 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C all D k1_funct_1(A,k3_mcart_1(B,C,D)) = k1_multop_1(A,B,C,D)))) # label(d1_multop_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5315 (exists A (v1_funct_1(A) & (all B (m1_subset_1(B,f1_s4_multop_1) -> (all C (m1_subset_1(C,f2_s4_multop_1) -> (all D (m1_subset_1(D,f3_s4_multop_1) -> k2_multop_1(f1_s4_multop_1,f2_s4_multop_1,f3_s4_multop_1,f4_s4_multop_1,A,B,C,D) = f5_s4_multop_1(B,C,D))))))) & m2_relset_1(A,k3_zfmisc_1(f1_s4_multop_1,f2_s4_multop_1,f3_s4_multop_1),f4_s4_multop_1) & v1_funct_2(A,k3_zfmisc_1(f1_s4_multop_1,f2_s4_multop_1,f3_s4_multop_1),f4_s4_multop_1))) # label(s4_multop_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5316 (all A all B all C all D all E all F all G all H (-v1_xboole_0(C) & v1_funct_1(E) & v1_funct_2(E,k3_zfmisc_1(A,B,C),D) & m1_relset_1(E,k3_zfmisc_1(A,B,C),D) & m1_subset_1(H,C) & m1_subset_1(G,B) & m1_subset_1(F,A) & -v1_xboole_0(D) & -v1_xboole_0(B) & -v1_xboole_0(A) -> k2_multop_1(A,B,C,D,E,F,G,H) = k1_multop_1(E,F,G,H))) # label(redefinition_k2_multop_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5317 (all A (-v1_xboole_0(A) -> (all B all C all D all E (v1_funct_1(E) & v1_funct_2(E,k3_zfmisc_1(B,C,D),A) & m2_relset_1(E,k3_zfmisc_1(B,C,D),A) -> (all F (m2_relset_1(F,k3_zfmisc_1(B,C,D),A) & v1_funct_2(F,k3_zfmisc_1(B,C,D),A) & v1_funct_1(F) -> ((all G all H all I (r2_hidden(G,B) & r2_hidden(H,C) & r2_hidden(I,D) -> k1_funct_1(F,k3_mcart_1(G,H,I)) = k1_funct_1(E,k3_mcart_1(G,H,I)))) -> E = F))))))) # label(t2_multop_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5318 (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 (m2_relset_1(F,k4_zfmisc_1(A,B,C,D),E) & v1_funct_2(F,k4_zfmisc_1(A,B,C,D),E) & v1_funct_1(F) -> (all G (v1_funct_1(G) & v1_funct_2(G,k4_zfmisc_1(A,B,C,D),E) & m2_relset_1(G,k4_zfmisc_1(A,B,C,D),E) -> ((all H (m1_subset_1(H,A) -> (all I (m1_subset_1(I,B) -> (all J (m1_subset_1(J,C) -> (all K (m1_subset_1(K,D) -> k4_multop_1(A,B,C,D,E,F,H,I,J,K) = k4_multop_1(A,B,C,D,E,G,H,I,J,K))))))))) -> G = F))))))))))))))) # label(t8_multop_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5319 (exists A (v1_funct_1(A) & (all B (m1_subset_1(B,f1_s3_multop_1) -> (all C (m1_subset_1(C,f2_s3_multop_1) -> (all D (m1_subset_1(D,f3_s3_multop_1) -> k8_funct_2(k3_zfmisc_1(f1_s3_multop_1,f2_s3_multop_1,f3_s3_multop_1),f4_s3_multop_1,A,k4_domain_1(f1_s3_multop_1,f2_s3_multop_1,f3_s3_multop_1,B,C,D)) = f5_s3_multop_1(B,C,D))))))) & m2_relset_1(A,k3_zfmisc_1(f1_s3_multop_1,f2_s3_multop_1,f3_s3_multop_1),f4_s3_multop_1) & v1_funct_2(A,k3_zfmisc_1(f1_s3_multop_1,f2_s3_multop_1,f3_s3_multop_1),f4_s3_multop_1))) # label(s3_multop_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5320 (exists A (v1_funct_1(A) & v1_funct_2(A,k4_zfmisc_1(f1_s7_multop_1,f2_s7_multop_1,f3_s7_multop_1,f4_s7_multop_1),f5_s7_multop_1) & m2_relset_1(A,k4_zfmisc_1(f1_s7_multop_1,f2_s7_multop_1,f3_s7_multop_1,f4_s7_multop_1),f5_s7_multop_1) & (all B (m1_subset_1(B,f1_s7_multop_1) -> (all C (m1_subset_1(C,f2_s7_multop_1) -> (all D (m1_subset_1(D,f3_s7_multop_1) -> (all E (m1_subset_1(E,f4_s7_multop_1) -> f6_s7_multop_1(B,C,D,E) = k8_funct_2(k4_zfmisc_1(f1_s7_multop_1,f2_s7_multop_1,f3_s7_multop_1,f4_s7_multop_1),f5_s7_multop_1,A,k5_domain_1(f1_s7_multop_1,f2_s7_multop_1,f3_s7_multop_1,f4_s7_multop_1,B,C,D,E)))))))))))) # label(s7_multop_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5321 (all A (m1_subset_1(A,f1_s2_multop_1) -> (all B (m1_subset_1(B,f1_s2_multop_1) -> (all C (m1_subset_1(C,f1_s2_multop_1) -> (exists D (m1_subset_1(D,f1_s2_multop_1) & p1_s2_multop_1(A,B,C,D))))))))) -> (exists A (v1_funct_1(A) & v1_funct_2(A,k3_zfmisc_1(f1_s2_multop_1,f1_s2_multop_1,f1_s2_multop_1),f1_s2_multop_1) & (all B (m1_subset_1(B,f1_s2_multop_1) -> (all C (m1_subset_1(C,f1_s2_multop_1) -> (all D (m1_subset_1(D,f1_s2_multop_1) -> p1_s2_multop_1(B,C,D,k2_multop_1(f1_s2_multop_1,f1_s2_multop_1,f1_s2_multop_1,f1_s2_multop_1,A,B,C,D)))))))) & m2_relset_1(A,k3_zfmisc_1(f1_s2_multop_1,f1_s2_multop_1,f1_s2_multop_1),f1_s2_multop_1))) # label(s2_multop_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5322 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C all D all E k1_funct_1(A,k4_mcart_1(B,C,D,E)) = k3_multop_1(A,B,C,D,E)))) # label(d2_multop_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5323 $T # label(dt_k3_multop_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5324 (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_funct_1(E) & v1_funct_2(E,k3_zfmisc_1(A,B,C),D) & m2_relset_1(E,k3_zfmisc_1(A,B,C),D) -> (all F (v1_funct_1(F) & m2_relset_1(F,k3_zfmisc_1(A,B,C),D) & v1_funct_2(F,k3_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) -> k2_multop_1(A,B,C,D,F,G,H,I) = k2_multop_1(A,B,C,D,E,G,H,I))))))) -> E = F))))))))))))) # label(t4_multop_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5325 (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 (v1_funct_1(F) & m2_relset_1(F,k4_zfmisc_1(A,B,C,D),E) & v1_funct_2(F,k4_zfmisc_1(A,B,C,D),E) -> (all G (v1_funct_1(G) & m2_relset_1(G,k4_zfmisc_1(A,B,C,D),E) & v1_funct_2(G,k4_zfmisc_1(A,B,C,D),E) -> ((all H (m1_subset_1(H,A) -> (all I (m1_subset_1(I,B) -> (all J (m1_subset_1(J,C) -> (all K (m1_subset_1(K,D) -> k8_funct_2(k4_zfmisc_1(A,B,C,D),E,F,k5_domain_1(A,B,C,D,H,I,J,K)) = k8_funct_2(k4_zfmisc_1(A,B,C,D),E,G,k5_domain_1(A,B,C,D,H,I,J,K)))))))))) -> F = G))))))))))))))) # label(t7_multop_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5326 $T # label(t5_multop_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5327 (all A (m1_subset_1(A,f1_s6_multop_1) -> (all B (m1_subset_1(B,f1_s6_multop_1) -> (all C (m1_subset_1(C,f1_s6_multop_1) -> (all D (m1_subset_1(D,f1_s6_multop_1) -> (exists E (m1_subset_1(E,f1_s6_multop_1) & p1_s6_multop_1(A,B,C,D,E))))))))))) -> (exists A ((all B (m1_subset_1(B,f1_s6_multop_1) -> (all C (m1_subset_1(C,f1_s6_multop_1) -> (all D (m1_subset_1(D,f1_s6_multop_1) -> (all E (m1_subset_1(E,f1_s6_multop_1) -> p1_s6_multop_1(B,C,D,E,k4_multop_1(f1_s6_multop_1,f1_s6_multop_1,f1_s6_multop_1,f1_s6_multop_1,f1_s6_multop_1,A,B,C,D,E)))))))))) & m2_relset_1(A,k4_zfmisc_1(f1_s6_multop_1,f1_s6_multop_1,f1_s6_multop_1,f1_s6_multop_1),f1_s6_multop_1) & v1_funct_2(A,k4_zfmisc_1(f1_s6_multop_1,f1_s6_multop_1,f1_s6_multop_1,f1_s6_multop_1),f1_s6_multop_1) & v1_funct_1(A))) # label(s6_multop_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5328 (all A all B all C all D all E all F all G all H all I all J (-v1_xboole_0(A) & -v1_xboole_0(B) & -v1_xboole_0(C) & -v1_xboole_0(D) & -v1_xboole_0(E) & v1_funct_1(F) & v1_funct_2(F,k4_zfmisc_1(A,B,C,D),E) & m1_subset_1(H,B) & m1_subset_1(J,D) & m1_subset_1(I,C) & m1_subset_1(G,A) & m1_relset_1(F,k4_zfmisc_1(A,B,C,D),E) -> k4_multop_1(A,B,C,D,E,F,G,H,I,J) = k3_multop_1(F,G,H,I,J))) # label(redefinition_k4_multop_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5329 (all A (m1_subset_1(A,f1_s5_multop_1) -> (all B (m1_subset_1(B,f2_s5_multop_1) -> (all C (m1_subset_1(C,f3_s5_multop_1) -> (all D (m1_subset_1(D,f4_s5_multop_1) -> (exists E (p1_s5_multop_1(A,B,C,D,E) & m1_subset_1(E,f5_s5_multop_1))))))))))) -> (exists A ((all B (m1_subset_1(B,f1_s5_multop_1) -> (all C (m1_subset_1(C,f2_s5_multop_1) -> (all D (m1_subset_1(D,f3_s5_multop_1) -> (all E (m1_subset_1(E,f4_s5_multop_1) -> p1_s5_multop_1(B,C,D,E,k8_funct_2(k4_zfmisc_1(f1_s5_multop_1,f2_s5_multop_1,f3_s5_multop_1,f4_s5_multop_1),f5_s5_multop_1,A,k5_domain_1(f1_s5_multop_1,f2_s5_multop_1,f3_s5_multop_1,f4_s5_multop_1,B,C,D,E))))))))))) & m2_relset_1(A,k4_zfmisc_1(f1_s5_multop_1,f2_s5_multop_1,f3_s5_multop_1,f4_s5_multop_1),f5_s5_multop_1) & v1_funct_2(A,k4_zfmisc_1(f1_s5_multop_1,f2_s5_multop_1,f3_s5_multop_1,f4_s5_multop_1),f5_s5_multop_1) & v1_funct_1(A))) # label(s5_multop_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5330 (all A all B all C all D all E all F all G all H (-v1_xboole_0(B) & -v1_xboole_0(C) & -v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,k3_zfmisc_1(A,B,C),D) & m1_subset_1(F,A) & m1_subset_1(G,B) & m1_subset_1(H,C) & m1_relset_1(E,k3_zfmisc_1(A,B,C),D) & -v1_xboole_0(A) -> m1_subset_1(k2_multop_1(A,B,C,D,E,F,G,H),D))) # label(dt_k2_multop_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5331 $T # label(t1_multop_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5332 (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_funct_1(E) & v1_funct_2(E,k3_zfmisc_1(A,B,C),D) & m2_relset_1(E,k3_zfmisc_1(A,B,C),D) -> (all F (v1_funct_2(F,k3_zfmisc_1(A,B,C),D) & m2_relset_1(F,k3_zfmisc_1(A,B,C),D) & v1_funct_1(F) -> ((all G (m1_subset_1(G,A) -> (all H (m1_subset_1(H,B) -> (all I (m1_subset_1(I,C) -> k8_funct_2(k3_zfmisc_1(A,B,C),D,E,k4_domain_1(A,B,C,G,H,I)) = k8_funct_2(k3_zfmisc_1(A,B,C),D,F,k4_domain_1(A,B,C,G,H,I)))))))) -> E = F))))))))))))) # label(t3_multop_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5333 (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].
16.00/15.54	5334 (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].
16.00/15.54	5335 (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].
16.00/15.54	5336 (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].
16.00/15.54	5337 (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].
16.00/15.54	5338 (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].
16.00/15.54	5339 $T # label(dt_m4_realset1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5340 (all A (v1_realset1(A) <-> -(-v1_xboole_0(A) & (all B A != k1_tarski(B))))) # label(d4_realset1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5341 (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].
16.00/15.54	5342 (all A all B (v1_relat_1(A) -> v1_relat_1(k1_realset1(A,B)))) # label(fc1_realset1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5343 (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].
16.00/15.54	5344 (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].
16.00/15.54	5345 (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].
16.00/15.54	5346 (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].
16.00/15.54	5347 (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].
16.00/15.54	5348 (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].
16.00/15.54	5349 (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].
16.00/15.54	5350 (exists A (-v1_xboole_0(A) & v1_realset1(A))) # label(rc1_realset1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5351 (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].
16.00/15.54	5352 (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].
16.00/15.54	5353 (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].
16.00/15.54	5354 (all A (-v1_realset1(A) -> (exists B m4_realset1(B,A)))) # label(existence_m4_realset1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5355 (all A (-v1_realset1(A) -> -v1_xboole_0(A))) # label(cc1_realset1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5356 (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].
16.00/15.54	5357 (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].
16.00/15.54	5358 (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].
16.00/15.54	5359 $T # label(dt_k1_realset1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.54	5360 (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].
16.00/15.55	5361 (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].
16.00/15.55	5362 (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].
16.00/15.55	5363 (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].
16.00/15.55	5364 (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].
16.00/15.55	5365 (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].
16.00/15.55	5366 (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].
16.00/15.55	5367 (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].
16.00/15.55	5368 (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].
16.00/15.55	5369 (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].
16.00/15.55	5370 (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].
16.00/15.55	5371 (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].
16.00/15.55	5372 (all A (-v1_realset1(A) -> (exists B (-v1_xboole_0(B) & m4_realset1(B,A))))) # label(rc3_realset1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5373 (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].
16.00/15.55	5374 (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].
16.00/15.55	5375 (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].
16.00/15.55	5376 (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].
16.00/15.55	5377 (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].
16.00/15.55	5378 (exists A (-v1_xboole_0(A) & -v1_realset1(A))) # label(rc2_realset1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5379 (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].
16.00/15.55	5380 (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].
16.00/15.55	5381 (all A all B all C all D (v1_relat_1(D) & v1_funct_1(D) -> (r2_hidden(D,k1_funct_2(A,k1_funct_2(B,C))) -> r2_hidden(k6_funct_5(D),k1_funct_2(k2_zfmisc_1(B,A),C)) & r2_hidden(k4_funct_5(D),k1_funct_2(k2_zfmisc_1(A,B),C))))) # label(t20_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5382 (all A all B all C all D all E all F (v1_relat_1(F) & v1_funct_1(F) -> (r1_tarski(k1_relat_1(F),k2_zfmisc_1(D,E)) -> -r2_hidden(k3_funct_5(F),k4_partfun1(A,k4_partfun1(B,C))) & -r2_hidden(k5_funct_5(F),k4_partfun1(B,k4_partfun1(A,C))) | r2_hidden(F,k4_partfun1(k2_zfmisc_1(A,B),C))))) # label(t25_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5383 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (A != k1_xboole_0 -> k2_relat_1(k6_funct_5(k2_funcop_1(A,B))) = k2_relat_1(B) & k2_relat_1(B) = k2_relat_1(k4_funct_5(k2_funcop_1(A,B)))))) # label(t18_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5384 (all A all B (r2_hidden(A,k4_card_3(k9_finseq_1(B))) <-> (exists C (r2_hidden(C,B) & k9_finseq_1(C) = A)))) # label(t1_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5385 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> r2_wellord2(k1_funct_2(k3_card_3(k2_card_3(B)),A),k4_card_3(k8_funct_6(B,A))))) # label(t77_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5386 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r2_hidden(A,k1_relat_1(C)) & r2_hidden(A,k1_relat_1(B)) -> (all D all E (k1_funct_1(k6_funct_6(k10_finseq_1(B,C)),A) = k10_finseq_1(D,E) <-> k4_tarski(D,E) = k1_funct_1(k13_funct_3(B,C),A)))))))) # label(t67_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5387 (all A all B all C all D all E all F (v1_funct_1(F) & v1_relat_1(F) -> (r1_tarski(k2_relat_1(F),k4_partfun1(D,E)) & A = k1_relat_1(F) -> -r2_hidden(k4_funct_5(F),k1_funct_2(k2_zfmisc_1(A,B),C)) & -r2_hidden(k6_funct_5(F),k1_funct_2(k2_zfmisc_1(B,A),C)) | r2_hidden(F,k1_funct_2(A,k1_funct_2(B,C)))))) # label(t22_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5388 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_funcop_1(k10_funct_6(A)) & v1_funct_1(k10_funct_6(A)) & v1_relat_1(k10_funct_6(A)))) # label(dt_k10_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5389 (all A (v1_relat_1(A) & v1_funct_1(A) -> v1_funct_1(k7_funct_6(A)) & v1_relat_1(k7_funct_6(A)))) # label(dt_k7_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5390 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> v1_relat_1(k9_funct_6(A,B)) & v1_funct_1(k9_funct_6(A,B)))) # label(dt_k9_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5391 (all A (v1_relat_1(A) & v1_funct_1(A) -> k2_relat_1(k7_funct_6(A)) = k4_card_3(k3_funct_6(A)))) # label(t58_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5392 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_funct_1(k3_funct_6(A)) & v1_relat_1(k3_funct_6(A)))) # label(dt_k3_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5393 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (r2_hidden(A,k1_relat_1(k6_funct_6(B))) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r2_hidden(C,k2_relat_1(B)) -> r2_hidden(A,k1_relat_1(C)))))))) # label(t52_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5394 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (r2_hidden(A,k1_relat_1(B)) -> k5_funct_6(k10_finseq_1(C,B),np__2,A) = k1_funct_1(B,A) & k5_funct_6(k11_finseq_1(C,B,D),np__2,A) = k1_funct_1(B,A)))))))) # label(t46_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5395 (all A all B all C (k4_funct_6(k11_finseq_1(A,B,C)) = k3_xboole_0(k3_xboole_0(A,B),C) & k2_xboole_0(k2_xboole_0(A,B),C) = k3_card_3(k11_finseq_1(A,B,C)))) # label(t41_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5396 (all A (v1_funct_1(A) & v1_relat_1(A) -> (-r2_hidden(k1_xboole_0,k2_relat_1(A)) -> k2_funcop_1(k1_relat_1(A),k1_xboole_0) = k8_funct_6(A,k1_xboole_0)))) # label(t72_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5397 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (r2_hidden(A,k1_relat_1(B)) -> k5_funct_6(k10_finseq_1(B,C),np__1,A) = k1_funct_1(B,A) & k1_funct_1(B,A) = k5_funct_6(k11_finseq_1(B,C,D),np__1,A) & k1_funct_1(B,A) = k5_funct_6(k9_finseq_1(B),np__1,A)))))))) # label(t45_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5398 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (k1_funct_1(B,A) = C & r2_hidden(A,k1_relat_1(B)) -> k1_funct_1(k2_funct_6(B),A) = k1_relat_1(C) & k2_relat_1(C) = k1_funct_1(k3_funct_6(B),A) & r2_hidden(A,k1_relat_1(k3_funct_6(B))) & r2_hidden(A,k1_relat_1(k2_funct_6(B)))))))) # label(t31_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5399 (all A all B all C k2_funcop_1(k2_zfmisc_1(B,A),C) = k2_funct_4(k2_funcop_1(k2_zfmisc_1(A,B),C))) # label(t12_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5400 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (k1_relat_1(C) = A & (all D (r2_hidden(D,A) -> r2_wellord2(k1_funct_1(B,D),k1_funct_1(C,D)))) & A = k1_relat_1(B) -> r2_wellord2(k4_card_3(B),k4_card_3(C))))))) # label(t69_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5401 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> -((all C all D k4_tarski(C,D) != A) & r2_hidden(A,k1_relat_1(k2_funct_4(B)))))) # label(t11_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5402 (all A k1_xboole_0 = k8_funct_6(k1_xboole_0,A)) # label(t73_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5403 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (r2_hidden(A,k1_relat_1(C)) & D = k1_funct_1(C,A) & r2_hidden(B,k1_relat_1(D)) -> k1_funct_1(D,B) = k5_funct_6(C,A,B)))))) # label(t44_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5404 (all A all B all C all D all E all F (v1_funct_1(F) & v1_relat_1(F) -> (r1_tarski(k1_relat_1(F),A) & r1_tarski(k2_relat_1(F),k4_partfun1(D,E)) -> r2_hidden(F,k4_partfun1(A,k4_partfun1(B,C))) | -r2_hidden(k4_funct_5(F),k4_partfun1(k2_zfmisc_1(A,B),C)) & -r2_hidden(k6_funct_5(F),k4_partfun1(k2_zfmisc_1(B,A),C))))) # label(t26_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5405 (all A all B all C all D (v1_funct_1(D) & v1_relat_1(D) -> (r2_hidden(D,k4_partfun1(k2_zfmisc_1(A,B),C)) -> r2_hidden(k3_funct_5(D),k4_partfun1(A,k4_partfun1(B,C))) & r2_hidden(k5_funct_5(D),k4_partfun1(B,k4_partfun1(A,C)))))) # label(t23_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5406 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C k1_funct_1(k4_funct_5(A),k4_tarski(B,C)) = k5_funct_6(A,B,C)))) # label(d5_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5407 (all A all B all C all D ((exists E exists F exists G (A = k11_finseq_1(E,F,G) & r2_hidden(G,D) & r2_hidden(F,C) & r2_hidden(E,B))) <-> r2_hidden(A,k4_card_3(k11_finseq_1(B,C,D))))) # label(t3_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5408 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (k10_relat_1(A,k1_funct_6(k2_relat_1(A))) = k1_relat_1(B) & (all C (r2_hidden(C,k10_relat_1(A,k1_funct_6(k2_relat_1(A)))) -> k1_funct_1(B,C) = k2_funct_5(k1_funct_1(A,C)))) <-> B = k3_funct_6(A)))))) # label(d3_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5409 (all A (v1_funcop_1(A) & v1_funct_1(A) & v1_relat_1(A) -> k1_relat_1(k2_funct_6(A)) = k1_relat_1(A))) # label(t89_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5410 (all A all B all C all D (v1_relat_1(D) & v1_funct_1(D) -> (r2_hidden(D,k1_funct_2(A,k1_funct_2(B,C))) -> r2_hidden(k10_funct_6(D),k1_funct_2(B,k1_funct_2(A,C))) | B = k1_xboole_0 | A = k1_xboole_0))) # label(t85_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5411 (all A (-v1_xboole_0(A) -> k4_card_3(k11_finseq_1(A,A,A)) = k4_finseq_2(np__3,A))) # label(t8_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5412 (all A all B all C k10_finseq_1(k1_funct_2(A,B),k1_funct_2(A,C)) = k9_funct_6(A,k10_finseq_1(B,C))) # label(t81_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5413 (all A all B (v1_funct_1(A) & v1_relat_1(A) -> v1_funct_1(k8_funct_6(A,B)) & v1_relat_1(k8_funct_6(A,B)))) # label(dt_k8_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5414 (all A (v1_relat_1(A) & v1_funct_1(A) -> k2_relat_1(k7_funct_6(k9_finseq_1(A))) = k4_card_3(k9_finseq_1(k2_relat_1(A))) & (all B (r2_hidden(B,k1_relat_1(A)) -> k9_finseq_1(k1_funct_1(A,B)) = k1_funct_1(k7_funct_6(k9_finseq_1(A)),k9_finseq_1(B)))) & k1_relat_1(k7_funct_6(k9_finseq_1(A))) = k4_card_3(k9_finseq_1(k1_relat_1(A))))) # label(t64_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5415 (all A (v1_funct_1(A) & v1_relat_1(A) -> r1_tarski(k4_card_3(A),k1_funct_2(k1_relat_1(A),k3_card_3(A))))) # label(t10_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5416 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(B,k4_card_3(k2_funct_6(C))) & r2_hidden(A,k1_relat_1(B)) -> k5_funct_6(k7_funct_6(C),B,A) = k5_funct_6(C,A,k1_funct_1(B,A))))))) # label(t56_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5417 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> k10_finseq_1(k2_relat_1(A),k2_relat_1(B)) = k3_funct_6(k10_finseq_1(A,B)) & k2_funct_6(k10_finseq_1(A,B)) = k10_finseq_1(k1_relat_1(A),k1_relat_1(B)))))) # label(t34_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5418 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_funct_1(k2_funct_6(A)) & v1_relat_1(k2_funct_6(A)))) # label(dt_k2_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5419 (all A all B all C (-v1_xboole_0(B) & -v1_xboole_0(C) -> (r2_hidden(A,a_2_0_funct_6(B,C)) <-> (exists D exists E (m1_subset_1(D,B) & A = k10_finseq_1(D,E) & m1_subset_1(E,C)))))) # label(fraenkel_a_2_0_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5420 (all A all B all C (k4_funct_5(k2_funcop_1(A,k2_funcop_1(B,C))) = k2_funcop_1(k2_zfmisc_1(A,B),C) & k2_funcop_1(k2_zfmisc_1(B,A),C) = k6_funct_5(k2_funcop_1(A,k2_funcop_1(B,C))))) # label(t15_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5421 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (all E (v1_relat_1(E) & v1_funct_1(E) -> (r2_hidden(D,k4_card_3(k2_funct_6(B))) & k1_funct_1(k7_funct_6(B),D) = E & C = k1_funct_1(B,A) & r2_hidden(A,k1_relat_1(B)) -> k1_funct_1(C,k1_funct_1(D,A)) = k1_funct_1(E,A) & r2_hidden(E,k4_card_3(k3_funct_6(B))) & r2_hidden(k1_funct_1(D,A),k1_relat_1(C))))))))))) # label(t57_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5422 (all A all B all C all D (v1_relat_1(D) & v1_funct_1(D) -> (r2_hidden(D,k1_funct_2(A,k1_funct_2(B,C))) -> A = k1_xboole_0 | k1_xboole_0 = B | D = k10_funct_6(k10_funct_6(D))))) # label(t87_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5423 (all A (v1_relat_1(A) & v1_funct_1(A) -> k4_funct_6(k2_funct_6(A)) = k1_relat_1(k6_funct_6(A)) & r1_tarski(k2_relat_1(k6_funct_6(A)),k4_card_3(k3_funct_6(A))))) # label(t49_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5424 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (k1_xboole_0 != B -> (r2_hidden(A,k4_funct_6(B)) <-> (all C (r2_hidden(C,k1_relat_1(B)) -> r2_hidden(A,k1_funct_1(B,C)))))))) # label(t37_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5425 (all A all B k9_finseq_1(k1_funct_2(A,B)) = k8_funct_6(k9_finseq_1(A),B)) # label(t74_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5426 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> k4_finseq_2(A,B) = k4_card_3(k2_finseq_2(A,B)))))) # label(t9_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5427 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (B = k7_funct_6(A) <-> (all C (v1_funct_1(C) & v1_relat_1(C) -> -((all D (v1_funct_1(D) & v1_relat_1(D) -> -(k1_funct_1(B,C) = D & (all E (r2_hidden(E,k1_relat_1(D)) -> k1_funct_1(k4_funct_5(A),k4_tarski(E,k1_funct_1(C,E))) = k1_funct_1(D,E))) & k10_relat_1(A,k1_funct_6(k2_relat_1(A))) = k1_relat_1(D)))) & r2_hidden(C,k4_card_3(k2_funct_6(A)))))) & k1_relat_1(B) = k4_card_3(k2_funct_6(A))))))) # label(d7_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5428 (all A all B all C k10_finseq_1(k1_funct_2(A,C),k1_funct_2(B,C)) = k8_funct_6(k10_finseq_1(A,B),C)) # label(t75_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5429 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_funct_1(k6_funct_6(A)) & v1_relat_1(k6_funct_6(A)))) # label(dt_k6_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5430 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> k1_relat_1(k7_funct_6(k2_funcop_1(A,B))) = k1_funct_2(A,k1_relat_1(B)) & (all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(C,k1_funct_2(A,k1_relat_1(B))) -> k5_relat_1(C,B) = k1_funct_1(k7_funct_6(k2_funcop_1(A,B)),C)))) & k2_relat_1(k7_funct_6(k2_funcop_1(A,B))) = k1_funct_2(A,k2_relat_1(B)))) # label(t66_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5431 (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) -> ((all D (r2_hidden(D,k1_relat_1(B)) -> r2_wellord2(k1_funct_1(A,D),k1_funct_1(C,k1_funct_1(B,D))))) & v2_funct_1(B) & k2_relat_1(B) = k1_relat_1(C) & k1_relat_1(A) = k1_relat_1(B) -> r2_wellord2(k4_card_3(A),k4_card_3(C))))))))) # label(t70_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5432 (all A all B all C all D (v1_funct_1(D) & v1_relat_1(D) -> (r2_hidden(D,k4_partfun1(A,k4_partfun1(B,C))) -> r2_hidden(k6_funct_5(D),k4_partfun1(k2_zfmisc_1(B,A),C)) & r2_hidden(k4_funct_5(D),k4_partfun1(k2_zfmisc_1(A,B),C))))) # label(t24_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5433 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(A,k1_relat_1(C)) & v1_funct_1(k1_funct_1(C,A)) & r2_hidden(B,k1_relat_1(k6_funct_6(C))) & v1_relat_1(k1_funct_1(C,A)) -> k5_funct_6(C,A,B) = k5_funct_6(k6_funct_6(C),B,A)))) # label(t55_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5434 $T # label(dt_k4_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5435 (all A all B k9_funct_6(A,k9_finseq_1(B)) = k9_finseq_1(k1_funct_2(A,B))) # label(t80_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5436 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_2(C,A,A) & v3_funct_2(C,A,A) & m2_relset_1(C,A,A) & v1_funct_1(C) -> (A = k1_relat_1(B) -> r2_wellord2(k4_card_3(B),k4_card_3(k5_relat_1(C,B)))))))) # label(t71_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5437 (all A all B all C all D (v1_funct_1(D) & v1_relat_1(D) -> (r2_hidden(C,k1_relat_1(D)) & r2_hidden(A,B) -> k5_funct_6(k2_funcop_1(B,D),A,C) = k1_funct_1(D,C)))) # label(t48_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5438 (all A all B (r1_tarski(A,k1_funct_6(B)) -> A = k1_funct_6(A))) # label(t30_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5439 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> k3_xboole_0(k1_relat_1(A),k1_relat_1(B)) = k1_relat_1(k6_funct_6(k10_finseq_1(A,B))) & (all C (r2_hidden(C,k3_xboole_0(k1_relat_1(A),k1_relat_1(B))) -> k1_funct_1(k6_funct_6(k10_finseq_1(A,B)),C) = k10_finseq_1(k1_funct_1(A,C),k1_funct_1(B,C)))))))) # label(t62_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5440 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (r2_hidden(A,k10_relat_1(B,k1_funct_6(k2_relat_1(B)))) <-> r2_hidden(A,k1_relat_1(B)) & v1_funct_1(k1_funct_1(B,A)) & v1_relat_1(k1_funct_1(B,A))))) # label(t28_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5441 (all A all B all C k2_funcop_1(B,k1_funct_2(A,C)) = k9_funct_6(A,k2_funcop_1(B,C))) # label(t82_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5442 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (r2_hidden(B,k1_relat_1(k10_funct_6(A))) -> v1_funct_1(k1_funct_1(k10_funct_6(A),B)) & v1_relat_1(k1_funct_1(k10_funct_6(A),B)))))) # label(t84_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5443 (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_funct_6(B,C,D)) <-> (exists E exists F exists G (k11_finseq_1(E,F,G) = A & m1_subset_1(G,D) & m1_subset_1(F,C) & m1_subset_1(E,B)))))) # label(fraenkel_a_3_0_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5444 (all A (v1_relat_1(A) & v1_funct_1(A) -> k2_funcop_1(k1_relat_1(A),k1_tarski(k1_xboole_0)) = k9_funct_6(k1_xboole_0,A))) # label(t78_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5445 (all A all B (k1_xboole_0 != A -> k4_funct_6(k2_funcop_1(A,B)) = B & k3_card_3(k2_funcop_1(A,B)) = B)) # label(t43_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5446 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (r2_hidden(B,k1_relat_1(A)) -> k1_funct_1(k6_funct_6(k9_finseq_1(A)),B) = k9_finseq_1(k1_funct_1(A,B)))) & k1_relat_1(A) = k1_relat_1(k6_funct_6(k9_finseq_1(A))))) # label(t61_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5447 (all A all B (k3_xboole_0(A,B) = k4_funct_6(k10_finseq_1(A,B)) & k2_xboole_0(A,B) = k3_card_3(k10_finseq_1(A,B)))) # label(t40_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5448 $T # label(d11_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5449 (all A (-v1_xboole_0(A) -> k4_card_3(k10_finseq_1(A,A)) = k4_finseq_2(np__2,A))) # label(t6_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5450 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> r1_tarski(k2_relat_1(k4_funct_5(k2_funcop_1(A,B))),k2_relat_1(B)) & k2_zfmisc_1(k1_relat_1(B),A) = k1_relat_1(k6_funct_5(k2_funcop_1(A,B))) & r1_tarski(k2_relat_1(k6_funct_5(k2_funcop_1(A,B))),k2_relat_1(B)) & k1_relat_1(k4_funct_5(k2_funcop_1(A,B))) = k2_zfmisc_1(A,k1_relat_1(B)))) # label(t17_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5451 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (r2_hidden(A,k1_relat_1(k6_funct_6(B))) -> v1_relat_1(k1_funct_1(k6_funct_6(B),A)) & v1_funct_1(k1_funct_1(k6_funct_6(B),A))))) # label(t50_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5452 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> k4_card_3(k10_finseq_1(A,B)) = a_2_0_funct_6(A,B))))) # label(t5_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5453 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (r2_hidden(A,k1_relat_1(B)) -> k1_funct_1(B,A) = k5_funct_6(k11_finseq_1(C,D,B),np__3,A)))))))) # label(t47_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5454 (all A (v1_funct_1(A) & v1_funcop_1(A) & v1_relat_1(A) -> k1_relat_1(k3_funct_6(A)) = k1_relat_1(A))) # label(t90_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5455 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> k2_funcop_1(A,k2_relat_1(B)) = k3_funct_6(k2_funcop_1(A,B)) & k2_funcop_1(A,k1_relat_1(B)) = k2_funct_6(k2_funcop_1(A,B)))) # label(t36_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5456 $T # label(dt_k1_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5457 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (r2_hidden(A,k1_relat_1(C)) & r2_hidden(B,k1_relat_1(D)) -> (all E all F (k10_finseq_1(E,F) = k1_funct_1(k7_funct_6(k10_finseq_1(C,D)),k10_finseq_1(A,B)) <-> k1_funct_1(k15_funct_3(C,D),k4_tarski(A,B)) = k4_tarski(E,F)))))))) # label(t68_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5458 (all A (-v1_xboole_0(A) -> k4_card_3(k9_finseq_1(A)) = k4_finseq_2(np__1,A))) # label(t4_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5459 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> r2_wellord2(k4_card_3(k9_funct_6(A,B)),k1_funct_2(A,k4_card_3(B))))) # label(t83_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5460 (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) -> k1_funct_6(k2_tarski(A,B)) = k2_tarski(A,B) & k1_enumset1(A,B,C) = k1_funct_6(k1_enumset1(A,B,C)) & k1_funct_6(k1_tarski(A)) = k1_tarski(A) & k1_xboole_0 = k1_funct_6(k1_xboole_0))))))) # label(t29_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5461 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C (v1_relat_1(C) & v1_funct_1(C) -> (k8_funct_6(A,B) = C <-> k1_relat_1(A) = k1_relat_1(C) & (all D (r2_hidden(D,k1_relat_1(A)) -> k1_funct_1(C,D) = k1_funct_2(k1_funct_1(A,D),B)))))))) # label(d8_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5462 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> ((all D (r2_hidden(D,k1_relat_1(B)) -> k1_funct_1(C,D) = k1_funct_2(A,k1_funct_1(B,D)))) & k1_relat_1(B) = k1_relat_1(C) <-> k9_funct_6(A,B) = C))))) # label(d9_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5463 (all A (v1_relat_1(A) & v1_funct_1(A) -> k3_funct_5(k7_relat_1(k6_funct_5(A),k2_zfmisc_1(k4_funct_6(k2_funct_6(A)),k1_relat_1(A)))) = k6_funct_6(A))) # label(d6_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5464 (all A all B all C all D (v1_relat_1(D) & v1_funct_1(D) -> (r2_hidden(D,k1_funct_2(A,k1_funct_2(B,C))) -> A = k1_xboole_0 | (all E (v1_relat_1(E) & v1_funct_1(E) -> (all F (v1_funct_1(F) & v1_relat_1(F) -> (all G all H (r2_hidden(G,A) & E = k1_funct_1(D,G) & F = k1_funct_1(k10_funct_6(D),H) & r2_hidden(H,B) -> k1_funct_1(E,H) = k1_funct_1(F,G) & A = k1_relat_1(F) & r1_tarski(k2_relat_1(F),C) & r1_tarski(k2_relat_1(E),C) & k1_relat_1(E) = B)))))) | k1_xboole_0 = B))) # label(t86_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5465 (all A all B all C (k1_xboole_0 != k2_zfmisc_1(A,B) -> k5_funct_5(k2_funcop_1(k2_zfmisc_1(A,B),C)) = k2_funcop_1(B,k2_funcop_1(A,C)) & k2_funcop_1(A,k2_funcop_1(B,C)) = k3_funct_5(k2_funcop_1(k2_zfmisc_1(A,B),C)))) # label(t14_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5466 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (C = k1_funct_1(B,A) & r2_hidden(A,k1_relat_1(B)) -> r1_tarski(k2_relat_1(C),k2_relat_1(k4_funct_5(B))) & r1_tarski(k2_relat_1(C),k2_relat_1(k6_funct_5(B)))))))) # label(t16_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5467 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (k2_funct_6(A) = B <-> (all C (r2_hidden(C,k10_relat_1(A,k1_funct_6(k2_relat_1(A)))) -> k1_funct_1(B,C) = k1_funct_5(k1_funct_1(A,C)))) & k10_relat_1(A,k1_funct_6(k2_relat_1(A))) = k1_relat_1(B)))))) # label(d2_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5468 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r2_hidden(B,k2_relat_1(C)) & (all D (v1_relat_1(D) & v1_funct_1(D) -> (r2_hidden(D,k2_relat_1(C)) -> r2_hidden(A,k1_relat_1(D))))) -> r2_hidden(A,k1_relat_1(k6_funct_6(C)))))))) # label(t53_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5469 (all A all B all C k2_funcop_1(A,k1_funct_2(B,C)) = k8_funct_6(k2_funcop_1(A,B),C)) # label(t76_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5470 (all A (v1_relat_1(A) & v1_funct_1(A) -> k4_funct_6(A) = k1_setfam_1(k2_relat_1(A)))) # label(d4_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5471 (all A (k3_card_3(k2_funcop_1(k1_xboole_0,A)) = k1_xboole_0 & k4_funct_6(k2_funcop_1(k1_xboole_0,A)) = k1_xboole_0)) # label(t42_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5472 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> k4_card_3(k11_finseq_1(A,B,C)) = a_3_0_funct_6(A,B,C))))))) # label(t7_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5473 (all A all B all C all D all E all F (v1_relat_1(F) & v1_funct_1(F) -> (r1_tarski(k1_relat_1(F),k2_zfmisc_1(D,E)) -> r2_hidden(F,k1_funct_2(k2_zfmisc_1(A,B),C)) | -r2_hidden(k3_funct_5(F),k1_funct_2(A,k1_funct_2(B,C))) & -r2_hidden(k5_funct_5(F),k1_funct_2(B,k1_funct_2(A,C)))))) # label(t21_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5474 (all A (A = k3_card_3(k9_finseq_1(A)) & A = k4_funct_6(k9_finseq_1(A)))) # label(t39_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5475 $T # label(dt_k5_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5476 (all A (v1_relat_1(A) & v1_funct_1(A) -> k2_funct_4(k6_funct_5(A)) = k4_funct_5(A) & k5_funct_5(k2_funct_4(A)) = k3_funct_5(A))) # label(t13_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5477 (all A k9_funct_6(A,k1_xboole_0) = k1_xboole_0) # label(t79_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5478 (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) -> k11_finseq_1(k1_relat_1(A),k1_relat_1(B),k1_relat_1(C)) = k2_funct_6(k11_finseq_1(A,B,C)) & k11_finseq_1(k2_relat_1(A),k2_relat_1(B),k2_relat_1(C)) = k3_funct_6(k11_finseq_1(A,B,C)))))))) # label(t35_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5479 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (A != k1_xboole_0 -> k1_relat_1(B) = k1_relat_1(k6_funct_6(k2_funcop_1(A,B))) & (all C (r2_hidden(C,k1_relat_1(B)) -> k1_funct_1(k6_funct_6(k2_funcop_1(A,B)),C) = k2_funcop_1(A,k1_funct_1(B,C))))))) # label(t63_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5480 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (all E (v1_funct_1(E) & v1_relat_1(E) -> (r2_hidden(A,k1_relat_1(C)) & k1_funct_1(C,A) = D & r2_hidden(B,k1_relat_1(k6_funct_6(C))) & k1_funct_1(k6_funct_6(C),B) = E -> k1_funct_1(E,A) = k1_funct_1(D,B)))))))) # label(t54_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5481 (all A r1_tarski(k1_funct_6(A),A)) # label(t27_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5482 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> k4_card_3(k10_finseq_1(k1_relat_1(A),k1_relat_1(B))) = k1_relat_1(k7_funct_6(k10_finseq_1(A,B))) & (all C all D (r2_hidden(D,k1_relat_1(B)) & r2_hidden(C,k1_relat_1(A)) -> k1_funct_1(k7_funct_6(k10_finseq_1(A,B)),k10_finseq_1(C,D)) = k10_finseq_1(k1_funct_1(A,C),k1_funct_1(B,D)))) & k2_relat_1(k7_funct_6(k10_finseq_1(A,B))) = k4_card_3(k10_finseq_1(k2_relat_1(A),k2_relat_1(B))))))) # label(t65_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5483 (all A all B all C ((exists D exists E (r2_hidden(D,B) & A = k10_finseq_1(D,E) & r2_hidden(E,C))) <-> r2_hidden(A,k4_card_3(k10_finseq_1(B,C))))) # label(t2_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5484 (all A (v1_funct_1(A) & v1_relat_1(A) -> (-r2_hidden(k1_xboole_0,k2_relat_1(A)) -> ((all B (v1_relat_1(B) & v1_funct_1(B) -> (r2_hidden(B,k2_relat_1(A)) -> v2_funct_1(B)))) <-> v2_funct_1(k7_funct_6(A)))))) # label(t59_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5485 (all A all B all C all D (v1_funct_1(D) & v1_relat_1(D) -> (r2_hidden(D,k1_funct_2(k2_zfmisc_1(A,B),C)) -> r2_hidden(k5_funct_5(D),k1_funct_2(B,k1_funct_2(A,C))) & r2_hidden(k3_funct_5(D),k1_funct_2(A,k1_funct_2(B,C))) | k1_xboole_0 = k2_zfmisc_1(A,B)))) # label(t19_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5486 (all A all B ((all C (r2_hidden(C,A) & v1_funct_1(C) & v1_relat_1(C) <-> r2_hidden(C,B))) <-> B = k1_funct_6(A))) # label(d1_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5487 $T # label(d10_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5488 (all A (v1_funct_1(A) & v1_relat_1(A) -> k5_funct_5(k4_funct_5(A)) = k10_funct_6(A))) # label(d12_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5489 (all A (v1_funct_1(A) & v1_relat_1(A) -> k2_funct_6(k9_finseq_1(A)) = k9_finseq_1(k1_relat_1(A)) & k9_finseq_1(k2_relat_1(A)) = k3_funct_6(k9_finseq_1(A)))) # label(t33_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5490 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (C = k1_funct_1(k6_funct_6(B),A) & r2_hidden(A,k1_relat_1(k6_funct_6(B))) -> (all D (r2_hidden(D,k1_relat_1(C)) -> k1_funct_1(k4_funct_5(B),k4_tarski(D,A)) = k1_funct_1(C,D) & r2_hidden(k4_tarski(D,A),k1_relat_1(k4_funct_5(B))))) & k10_relat_1(B,k1_funct_6(k2_relat_1(B))) = k1_relat_1(C)))))) # label(t51_funct_6) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5491 (all A (v1_relat_1(A) -> v1_relat_1(k1_sysrel(A)))) # label(dt_k1_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5492 (all A all B (v1_relat_1(B) -> (r1_tarski(k6_relat_1(A),k2_xboole_0(B,k4_relat_1(B))) -> r1_tarski(k6_relat_1(A),k4_relat_1(B)) & r1_tarski(k6_relat_1(A),B)))) # label(t36_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5493 (all A all B (v1_relat_1(B) -> (r2_hidden(A,k1_relat_1(B)) & r2_hidden(k4_tarski(A,A),B) -> r2_hidden(A,k1_relat_1(k1_sysrel(B)))) & (r2_hidden(A,k2_relat_1(k1_sysrel(B))) -> r2_hidden(A,k2_relat_1(B)) & r2_hidden(k4_tarski(A,A),B)) & (r2_hidden(A,k1_relat_1(k1_sysrel(B))) -> r2_hidden(A,k2_relat_1(B)) & r2_hidden(k4_tarski(A,A),B)) & (r2_hidden(A,k2_relat_1(B)) & r2_hidden(k4_tarski(A,A),B) -> r2_hidden(A,k1_relat_1(k1_sysrel(B)))) & (r2_hidden(k4_tarski(A,A),B) & r2_hidden(A,k2_relat_1(B)) -> r2_hidden(A,k2_relat_1(k1_sysrel(B)))) & (r2_hidden(A,k1_relat_1(B)) & r2_hidden(k4_tarski(A,A),B) -> r2_hidden(A,k2_relat_1(k1_sysrel(B)))) & (r2_hidden(A,k2_relat_1(k1_sysrel(B))) -> r2_hidden(k4_tarski(A,A),B) & r2_hidden(A,k1_relat_1(B))) & (r2_hidden(A,k1_relat_1(k1_sysrel(B))) -> r2_hidden(A,k1_relat_1(B)) & r2_hidden(k4_tarski(A,A),B)))) # label(t46_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5494 (all A all B (v1_relat_1(B) -> (k1_xboole_0 = k5_relat_1(B,k4_xboole_0(B,k6_relat_1(A))) & r1_tarski(k2_relat_1(B),A) -> k5_relat_1(B,k4_xboole_0(B,k6_relat_1(k2_relat_1(B)))) = k1_xboole_0) & (k1_xboole_0 = k5_relat_1(k4_xboole_0(B,k6_relat_1(A)),B) & r1_tarski(k1_relat_1(B),A) -> k5_relat_1(k4_xboole_0(B,k6_relat_1(k1_relat_1(B))),B) = k1_xboole_0))) # label(t42_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5495 (all A (v1_relat_1(A) -> (k5_relat_1(A,A) = A & k1_xboole_0 = k5_relat_1(A,k4_xboole_0(A,k6_relat_1(k1_relat_1(A)))) -> k2_relat_1(A) = k2_relat_1(k1_sysrel(A)) & k2_relat_1(A) = k1_relat_1(k1_sysrel(A))) & (k5_relat_1(A,A) = A & k5_relat_1(k4_xboole_0(A,k6_relat_1(k1_relat_1(A))),A) = k1_xboole_0 -> k1_relat_1(A) = k1_relat_1(k1_sysrel(A)) & k2_relat_1(k1_sysrel(A)) = k1_relat_1(A)))) # label(t50_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5496 (all A all B all C (r2_hidden(k4_tarski(A,B),k6_relat_1(C)) <-> r2_hidden(k4_tarski(B,A),k6_relat_1(C)))) # label(t31_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5497 $T # label(t9_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5498 (all A all B all C (v1_relat_1(C) -> r1_tarski(k2_relat_1(k3_xboole_0(C,k2_zfmisc_1(A,B))),B) & r1_tarski(k1_relat_1(k3_xboole_0(C,k2_zfmisc_1(A,B))),A))) # label(t13_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5499 (all A all B all C (v1_relat_1(C) -> (r1_tarski(C,k2_xboole_0(k2_zfmisc_1(A,B),k2_zfmisc_1(B,A))) & r1_xboole_0(A,B) -> r1_tarski(k7_relat_1(C,A),k2_zfmisc_1(A,B))))) # label(t26_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5500 $T # label(t10_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5501 $T # label(t4_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5502 (all A (v1_relat_1(A) -> k1_relat_1(k1_sysrel(A)) = k2_relat_1(k1_sysrel(A)))) # label(t45_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5503 $T # label(t6_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5504 (all A (v1_relat_1(A) -> r1_tarski(k6_relat_1(k2_relat_1(k1_sysrel(A))),k6_relat_1(k1_relat_1(A))) & r1_tarski(k6_relat_1(k1_relat_1(k1_sysrel(A))),k6_relat_1(k1_relat_1(A))))) # label(t52_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5505 (all A k6_relat_1(A) = k5_relat_1(k6_relat_1(A),k6_relat_1(A))) # label(t29_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5506 $T # label(t11_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5507 (all A all B all C (v1_relat_1(C) -> (r2_hidden(k4_tarski(A,B),C) & k1_xboole_0 = k5_relat_1(C,k4_xboole_0(C,k6_relat_1(k1_relat_1(C)))) & k5_relat_1(C,C) = C -> r2_hidden(A,k4_xboole_0(k1_relat_1(C),k1_relat_1(k1_sysrel(C)))) & r2_hidden(B,k1_relat_1(k1_sysrel(C))) | B = A) & (C = k5_relat_1(C,C) & k5_relat_1(k4_xboole_0(C,k6_relat_1(k1_relat_1(C))),C) = k1_xboole_0 & r2_hidden(k4_tarski(A,B),C) -> r2_hidden(B,k4_xboole_0(k2_relat_1(C),k1_relat_1(k1_sysrel(C)))) & r2_hidden(A,k1_relat_1(k1_sysrel(C))) | A = B))) # label(t49_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5508 (all A k1_tarski(k4_tarski(A,A)) = k6_relat_1(k1_tarski(A))) # label(t30_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5509 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (k5_relat_1(k4_xboole_0(B,k6_relat_1(k1_relat_1(B))),B) = k1_xboole_0 & A = k5_relat_1(B,A) -> k5_relat_1(k4_xboole_0(B,k6_relat_1(k1_relat_1(B))),A) = k1_xboole_0) & (A = k5_relat_1(A,B) & k5_relat_1(B,k4_xboole_0(B,k6_relat_1(k1_relat_1(B)))) = k1_xboole_0 -> k5_relat_1(A,k4_xboole_0(B,k6_relat_1(k1_relat_1(B)))) = k1_xboole_0))))) # label(t57_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5510 $T # label(t28_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5511 (all A (v1_relat_1(A) -> k1_sysrel(A) = k3_xboole_0(A,k6_relat_1(k1_relat_1(A))))) # label(d1_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5512 (all A all B all C (v1_relat_1(C) -> (r1_tarski(C,k2_zfmisc_1(A,B)) -> r1_tarski(k4_relat_1(C),k2_zfmisc_1(B,A))))) # label(t16_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5513 $T # label(t23_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5514 $T # label(t19_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5515 $T # label(t2_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5516 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (r1_tarski(A,B) -> r1_tarski(k4_relat_1(A),k4_relat_1(B))))))) # label(t27_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5517 $T # label(t3_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5518 (all A all B all C (v1_relat_1(C) -> (r1_tarski(C,k2_zfmisc_1(A,B)) -> r1_tarski(k1_relat_1(C),A) & r1_tarski(k2_relat_1(C),B)))) # label(t15_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5519 (all A (v1_relat_1(A) -> (r1_tarski(A,k5_relat_1(A,A)) & k1_xboole_0 = k5_relat_1(k4_xboole_0(A,k6_relat_1(k1_relat_1(A))),A) -> r1_tarski(k6_relat_1(k1_relat_1(A)),A)) & (k5_relat_1(A,k4_xboole_0(A,k6_relat_1(k2_relat_1(A)))) = k1_xboole_0 & r1_tarski(A,k5_relat_1(A,A)) -> r1_tarski(k6_relat_1(k2_relat_1(A)),A)))) # label(t40_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5520 (all A all B (r1_tarski(A,B) -> r1_tarski(k6_relat_1(A),k6_relat_1(B)))) # label(t33_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5521 (all A all B all C all D all E (v1_relat_1(E) -> (k2_xboole_0(C,D) = A & r1_tarski(E,k2_zfmisc_1(A,B)) -> E = k2_xboole_0(k7_relat_1(E,C),k7_relat_1(E,D))))) # label(t25_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5522 $T # label(t8_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.55	5523 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (k5_relat_1(B,A) = A & B = k5_relat_1(A,B) & k5_relat_1(k4_xboole_0(A,k6_relat_1(k1_relat_1(A))),A) = k1_xboole_0 & k5_relat_1(k4_xboole_0(B,k6_relat_1(k1_relat_1(B))),B) = k1_xboole_0 -> k1_sysrel(B) = k1_sysrel(A)) & (k5_relat_1(A,k4_xboole_0(A,k6_relat_1(k1_relat_1(A)))) = k1_xboole_0 & k5_relat_1(B,A) = B & k5_relat_1(B,k4_xboole_0(B,k6_relat_1(k1_relat_1(B)))) = k1_xboole_0 & k5_relat_1(A,B) = A -> k1_sysrel(B) = k1_sysrel(A)))))) # label(t59_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5524 $T # label(t7_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5525 $T # label(t17_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5526 (all A all B k2_zfmisc_1(B,A) = k4_relat_1(k2_zfmisc_1(A,B))) # label(t18_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5527 (all A all B all C (v1_relat_1(C) -> (r1_xboole_0(A,B) -> r1_xboole_0(k1_relat_1(k3_xboole_0(k4_relat_1(C),k2_zfmisc_1(A,B))),k2_relat_1(k3_xboole_0(k4_relat_1(C),k2_zfmisc_1(A,B)))) & r1_xboole_0(k1_relat_1(k3_xboole_0(C,k2_zfmisc_1(A,B))),k2_relat_1(k3_xboole_0(C,k2_zfmisc_1(A,B))))))) # label(t14_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5528 (all A all B all C (v1_relat_1(C) -> (C = k5_relat_1(C,C) & k1_xboole_0 = k5_relat_1(k4_xboole_0(C,k1_sysrel(C)),C) & r2_hidden(k4_tarski(A,B),C) -> r2_hidden(A,k1_relat_1(k1_sysrel(C))) & r2_hidden(B,k4_xboole_0(k2_relat_1(C),k1_relat_1(k1_sysrel(C)))) | A = B) & (k5_relat_1(C,C) = C & r2_hidden(k4_tarski(A,B),C) & k5_relat_1(C,k4_xboole_0(C,k1_sysrel(C))) = k1_xboole_0 -> r2_hidden(B,k1_relat_1(k1_sysrel(C))) & r2_hidden(A,k4_xboole_0(k1_relat_1(C),k1_relat_1(k1_sysrel(C)))) | B = A))) # label(t48_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5529 (all A all B (k6_relat_1(k4_xboole_0(A,B)) = k4_xboole_0(k6_relat_1(A),k6_relat_1(B)) & k6_relat_1(k3_xboole_0(A,B)) = k3_xboole_0(k6_relat_1(A),k6_relat_1(B)) & k6_relat_1(k2_xboole_0(A,B)) = k2_xboole_0(k6_relat_1(A),k6_relat_1(B)))) # label(t32_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5530 (all A all B k4_xboole_0(k6_relat_1(k4_xboole_0(A,B)),k6_relat_1(A)) = k1_xboole_0) # label(t34_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5531 $T # label(t21_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5532 (all A all B all C (v1_relat_1(C) -> (r2_hidden(k4_tarski(A,B),k1_sysrel(C)) -> A = B & r2_hidden(A,k1_relat_1(k1_sysrel(C)))))) # label(t44_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5533 (all A all B (v1_relat_1(B) -> (k5_relat_1(k4_xboole_0(B,k6_relat_1(A)),k6_relat_1(A)) = k1_xboole_0 -> k2_relat_1(k4_xboole_0(B,k6_relat_1(A))) = k4_xboole_0(k2_relat_1(B),k2_relat_1(k6_relat_1(A)))) & (k5_relat_1(k6_relat_1(A),k4_xboole_0(B,k6_relat_1(A))) = k1_xboole_0 -> k1_relat_1(k4_xboole_0(B,k6_relat_1(A))) = k4_xboole_0(k1_relat_1(B),k1_relat_1(k6_relat_1(A)))))) # label(t39_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5534 $T # label(t5_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5535 (all A all B all C all D all E (v1_relat_1(E) -> (r1_xboole_0(A,B) & r1_tarski(E,k2_xboole_0(k2_zfmisc_1(A,B),k2_zfmisc_1(B,A))) & r2_hidden(C,A) & r2_hidden(k4_tarski(C,D),E) -> r2_hidden(D,B) & -r2_hidden(D,A) & -r2_hidden(C,B)) & (r2_hidden(D,B) & r2_hidden(k4_tarski(C,D),E) & r1_tarski(E,k2_xboole_0(k2_zfmisc_1(A,B),k2_zfmisc_1(B,A))) & r1_xboole_0(A,B) -> -r2_hidden(D,A) & r2_hidden(C,A) & -r2_hidden(C,B)) & (r1_tarski(E,k2_xboole_0(k2_zfmisc_1(A,B),k2_zfmisc_1(B,A))) & r2_hidden(k4_tarski(C,D),E) & r2_hidden(D,A) & r1_xboole_0(A,B) -> -r2_hidden(C,A) & r2_hidden(C,B) & -r2_hidden(D,B)) & (r1_tarski(E,k2_xboole_0(k2_zfmisc_1(A,B),k2_zfmisc_1(B,A))) & r2_hidden(k4_tarski(C,D),E) & r2_hidden(C,B) & r1_xboole_0(A,B) -> -r2_hidden(D,B) & r2_hidden(D,A) & -r2_hidden(C,A)))) # label(t22_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5536 (all A all B (v1_relat_1(B) -> (r1_tarski(k6_relat_1(A),B) -> r1_tarski(k6_relat_1(A),k4_relat_1(B))))) # label(t37_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5537 (all A all B v1_relat_1(k2_zfmisc_1(A,B))) # label(fc1_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5538 (all A (v1_relat_1(A) -> r1_tarski(k1_sysrel(A),k6_relat_1(k1_relat_1(A))) & r1_tarski(k1_sysrel(A),A))) # label(t43_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5539 (all A (v1_relat_1(A) -> (k5_relat_1(k4_xboole_0(A,k6_relat_1(k1_relat_1(A))),A) = k1_xboole_0 -> k5_relat_1(k4_xboole_0(A,k6_relat_1(k1_relat_1(k1_sysrel(A)))),k6_relat_1(k1_relat_1(k1_sysrel(A)))) = k1_xboole_0) & (k1_xboole_0 = k5_relat_1(A,k4_xboole_0(A,k6_relat_1(k1_relat_1(A)))) -> k1_xboole_0 = k5_relat_1(k6_relat_1(k1_relat_1(k1_sysrel(A))),k4_xboole_0(A,k6_relat_1(k1_relat_1(k1_sysrel(A)))))))) # label(t56_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5540 (all A (v1_relat_1(A) -> (k5_relat_1(k4_xboole_0(A,k6_relat_1(k1_relat_1(A))),A) = k1_xboole_0 & r1_tarski(A,k5_relat_1(A,A)) -> k3_xboole_0(A,k6_relat_1(k1_relat_1(A))) = k6_relat_1(k1_relat_1(A))) & (k1_xboole_0 = k5_relat_1(A,k4_xboole_0(A,k6_relat_1(k2_relat_1(A)))) & r1_tarski(A,k5_relat_1(A,A)) -> k3_xboole_0(A,k6_relat_1(k2_relat_1(A))) = k6_relat_1(k2_relat_1(A))))) # label(t41_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5541 (all A (v1_relat_1(A) -> (r1_tarski(A,k6_relat_1(k1_relat_1(A))) -> k6_relat_1(k1_relat_1(A)) = A))) # label(t35_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5542 (all A (v1_relat_1(A) -> (k1_xboole_0 = k5_relat_1(k6_relat_1(k1_relat_1(k1_sysrel(A))),k4_xboole_0(A,k6_relat_1(k1_relat_1(k1_sysrel(A))))) -> k7_relat_1(A,k1_relat_1(k1_sysrel(A))) = k6_relat_1(k1_relat_1(k1_sysrel(A))) & k7_relat_1(A,k2_relat_1(k1_sysrel(A))) = k6_relat_1(k1_relat_1(k1_sysrel(A)))) & (k5_relat_1(k4_xboole_0(A,k6_relat_1(k2_relat_1(k1_sysrel(A)))),k6_relat_1(k2_relat_1(k1_sysrel(A)))) = k1_xboole_0 -> k6_relat_1(k2_relat_1(k1_sysrel(A))) = k8_relat_1(k2_relat_1(k1_sysrel(A)),A) & k8_relat_1(k1_relat_1(k1_sysrel(A)),A) = k6_relat_1(k1_relat_1(k1_sysrel(A)))))) # label(t55_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5543 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (A = k5_relat_1(A,B) & k5_relat_1(B,k4_xboole_0(B,k6_relat_1(k1_relat_1(B)))) = k1_xboole_0 -> r1_tarski(k1_sysrel(A),k1_sysrel(B))) & (k5_relat_1(k4_xboole_0(B,k6_relat_1(k1_relat_1(B))),B) = k1_xboole_0 & A = k5_relat_1(B,A) -> r1_tarski(k1_sysrel(A),k1_sysrel(B))))))) # label(t58_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5544 (all A all B (v1_relat_1(B) -> (r1_tarski(B,k2_zfmisc_1(A,A)) -> k4_xboole_0(B,k6_relat_1(k1_relat_1(B))) = k4_xboole_0(B,k6_relat_1(A)) & k4_xboole_0(B,k6_relat_1(A)) = k4_xboole_0(B,k6_relat_1(k2_relat_1(B)))))) # label(t38_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5545 (all A all B all C all D (v1_relat_1(D) -> (r1_tarski(C,B) & r1_tarski(D,k2_zfmisc_1(A,B)) -> k8_relat_1(C,D) = k3_xboole_0(D,k2_zfmisc_1(A,C))) & (r1_tarski(D,k2_zfmisc_1(A,B)) & r1_tarski(C,A) -> k7_relat_1(D,C) = k3_xboole_0(D,k2_zfmisc_1(C,B))))) # label(t24_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5546 (all A (v1_relat_1(A) -> k6_relat_1(k1_relat_1(k1_sysrel(A))) = k1_sysrel(A))) # label(t47_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5547 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> k2_xboole_0(k5_relat_1(A,C),k5_relat_1(B,C)) = k5_relat_1(k2_xboole_0(A,B),C) & k5_relat_1(A,k2_xboole_0(B,C)) = k2_xboole_0(k5_relat_1(A,B),k5_relat_1(A,C)))))))) # label(t20_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5548 $T # label(t1_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5549 (all A all B (v1_relat_1(B) -> (k1_xboole_0 = k5_relat_1(k6_relat_1(A),k4_xboole_0(B,k6_relat_1(A))) & r1_tarski(k6_relat_1(A),B) -> k7_relat_1(B,A) = k6_relat_1(A)) & (k1_xboole_0 = k5_relat_1(k4_xboole_0(B,k6_relat_1(A)),k6_relat_1(A)) & r1_tarski(k6_relat_1(A),B) -> k6_relat_1(A) = k8_relat_1(A,B)))) # label(t54_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5550 (all A (v1_relat_1(A) -> r1_tarski(k2_relat_1(k1_sysrel(A)),k1_relat_1(A)) & r1_tarski(k1_relat_1(k1_sysrel(A)),k2_relat_1(A)) & r1_tarski(k2_relat_1(k1_sysrel(A)),k2_relat_1(A)) & r1_tarski(k1_relat_1(k1_sysrel(A)),k1_relat_1(A)))) # label(t51_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5551 (all A (v1_relat_1(A) -> r1_tarski(k6_relat_1(k2_relat_1(k1_sysrel(A))),A) & r1_tarski(k6_relat_1(k1_relat_1(k1_sysrel(A))),A))) # label(t53_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5552 (all A all B -(B != k1_xboole_0 & -(B = k2_relat_1(k2_zfmisc_1(A,B)) & k1_relat_1(k2_zfmisc_1(A,B)) = A) & k1_xboole_0 != A)) # label(t12_sysrel) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5553 (all A (-v1_xboole_0(A) -> (v1_card_4(A) -> v1_card_4(k3_finseq_2(A))))) # label(t65_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5554 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (k2_card_1(A) = k2_card_1(B) <-> A = B))))) # label(t21_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5555 (all A ((exists B (m2_subset_1(B,k1_numbers,k5_numbers) & k1_card_1(B) = k1_card_1(A))) <-> v1_finset_1(A))) # label(t4_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5556 $T # label(t12_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5557 (all A (v1_card_1(A) -> (r1_tarski(np__2,A) <-> r2_hidden(np__1,A)))) # label(t25_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5558 (all A (v1_card_1(A) & v1_finset_1(A) -> (all B (v1_card_1(B) & v1_finset_1(B) -> v1_finset_1(k1_card_2(A,B)))))) # label(t38_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5559 (all A all B (k1_card_2(k1_card_1(A),k1_card_1(B)) = k1_card_1(A) & r2_hidden(k1_card_1(B),k1_card_1(A)) -> k1_card_1(A) = k1_card_1(k4_xboole_0(A,B)))) # label(t76_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5560 (all A all B (v1_finset_1(A) -> A = k1_xboole_0 | k2_card_2(k1_card_1(B),k1_card_1(A)) = k1_card_1(B) | v1_finset_1(B))) # label(t85_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5561 (all A all B (v1_card_4(A) & v1_card_4(B) -> v1_card_4(k2_zfmisc_1(A,B)))) # label(t55_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5562 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m1_subset_1(B,k1_numbers) -> -(k3_newton(B,A) = np__0 & -(np__0 != A & np__0 = B)) & -(np__0 = B & np__0 != A & np__0 != k3_newton(B,A)))))) # label(t51_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5563 (all A all B (m1_subset_1(A,k5_numbers) & m1_subset_1(B,k5_numbers) -> m2_subset_1(k1_card_4(A,B),k1_numbers,k5_numbers))) # label(dt_k1_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5564 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (r1_tarski(A,B) <-> r2_hidden(A,k2_card_1(B))))))) # label(t23_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5565 (all A (v1_finset_1(A) <-> r2_hidden(k1_card_1(A),k3_card_1(np__0)))) # label(t2_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5566 (all A (r1_tarski(k1_card_1(A),k3_card_1(np__0)) <-> v1_card_4(A))) # label(d1_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5567 (all A (v1_card_1(A) -> (r2_hidden(A,k3_card_1(np__0)) <-> v1_finset_1(A)))) # label(t9_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5568 (all A all B (v1_finset_1(B) -> v1_finset_1(A) | k1_card_1(k2_xboole_0(A,B)) = k1_card_1(A) & r2_wellord2(k2_xboole_0(A,B),A))) # label(t36_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5569 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v3_ordinal1(B) -> k14_ordinal2(B,k1_ordinal1(A)) = k14_ordinal2(k1_ordinal1(B),A) & k14_ordinal2(k1_ordinal1(B),A) = k14_ordinal2(B,k1_nat_1(A,np__1)))))) # label(t28_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5570 (all A all B (v1_card_4(A) -> v1_card_4(k4_xboole_0(A,B)))) # label(t49_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5571 $T # label(t16_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5572 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (r2_hidden(np__0,B) -> A = k2_card_2(B,A) & k2_card_2(A,B) = A | -r1_tarski(B,A) & -r2_hidden(B,A) | v1_finset_1(A)))))) # label(t78_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5573 (all A all B (v1_card_4(A) -> v1_card_4(k3_xboole_0(B,A)) & v1_card_4(k3_xboole_0(A,B)))) # label(t48_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5574 (all A (-v1_finset_1(A) -> k1_card_1(A) = k2_card_2(k3_card_1(np__0),k1_card_1(A)))) # label(t84_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5575 (all A ((all B (r2_hidden(B,A) -> v1_card_4(B))) & v1_card_4(A) -> v1_card_4(k3_tarski(A)))) # label(t62_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5576 (all A (r2_hidden(A,a_0_1_card_4) <-> (exists B exists C (A = f1_s2_card_4(B,C) & p1_s2_card_4(B,C) & m2_subset_1(C,k1_numbers,k5_numbers) & m2_subset_1(B,k1_numbers,k5_numbers))))) # label(fraenkel_a_0_1_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5577 (all A all B (v1_card_1(B) -> (all C (v1_card_1(C) -> (r1_tarski(k1_card_1(A),B) & (all D (r2_hidden(D,A) -> r1_tarski(k1_card_1(D),C))) -> r1_tarski(k1_card_1(k3_tarski(A)),k2_card_2(B,C))))))) # label(t60_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5578 (all A (v1_finset_1(A) -> r2_hidden(k1_card_1(A),k3_card_1(np__0)) & r2_hidden(k1_card_1(A),k5_ordinal2))) # label(t3_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5579 (all A (v3_ordinal1(A) -> k4_xboole_0(k1_ordinal1(A),k1_tarski(A)) = A)) # label(t5_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5580 (all A all B (m1_subset_1(A,k5_numbers) & m1_subset_1(B,k5_numbers) -> k1_card_4(A,B) = k2_newton(A,B))) # label(redefinition_k1_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5581 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v3_ordinal1(B) -> (r2_wellord2(B,A) -> A = B))))) # label(t6_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5582 (all A (-((all B -(k1_card_1(B) = k3_card_1(np__0) & r1_tarski(B,A))) & -v1_finset_1(A)) & -(v1_finset_1(A) & (exists B (r1_tarski(B,A) & k3_card_1(np__0) = k1_card_1(B)))))) # label(t14_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5583 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (v1_finset_1(A) -> v1_finset_1(B) | -r1_tarski(B,A) & -r2_hidden(B,A)))))) # label(t26_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5584 (all A (v1_card_1(A) & v1_finset_1(A) -> (all B (v1_finset_1(B) & v1_card_1(B) -> v1_finset_1(k2_card_2(A,B)))))) # label(t40_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5585 (all A (v3_ordinal1(A) -> (v4_ordinal1(A) -> k15_ordinal2(A,k1_ordinal1(k4_ordinal2)) = A))) # label(t30_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5586 (all A (-v1_xboole_0(A) -> (-v1_finset_1(A) -> k1_card_1(k3_finseq_2(A)) = k1_card_1(A)))) # label(t87_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5587 (all A (-v1_xboole_0(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (v1_card_4(A) -> v1_card_4(k4_finseq_2(B,A))))))) # label(t58_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5588 (all A (v1_finset_1(A) -> v1_card_4(A))) # label(t43_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5589 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (all C (v1_card_1(C) -> (all D (v1_card_1(D) -> (-(-(r1_tarski(C,D) & r2_hidden(A,B)) & -(r1_tarski(C,D) & r1_tarski(A,B)) & -(r2_hidden(C,D) & r1_tarski(A,B)) & -(r2_hidden(C,D) & r2_hidden(A,B))) -> r1_tarski(k1_card_2(C,A),k1_card_2(B,D)) & r1_tarski(k1_card_2(A,C),k1_card_2(B,D))))))))))) # label(t41_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5590 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (all C (v1_card_1(C) -> (all D (v1_card_1(D) -> (r2_hidden(A,B) & r2_hidden(C,D) -> r2_hidden(k2_card_2(A,C),k2_card_2(B,D)) & r2_hidden(k2_card_2(C,A),k2_card_2(B,D))))))))))) # label(t82_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5591 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (v1_finset_1(A) -> v1_finset_1(B) | r2_hidden(A,B) & r1_tarski(A,B)))))) # label(t13_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5592 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v1_finset_1(k1_relat_1(A)) & (all B (r2_hidden(B,k1_relat_1(A)) -> v1_finset_1(k1_funct_1(A,B)))) -> v1_finset_1(k3_card_3(A))))) # label(t63_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5593 (all A (v3_ordinal1(A) -> (-v1_finset_1(A) <-> r1_ordinal1(k5_ordinal2,A)))) # label(t8_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5594 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (all C (v1_card_1(C) -> (r1_tarski(A,B) | r2_hidden(A,B) -> r1_tarski(k2_card_2(C,A),k2_card_2(C,B)) & r1_tarski(k2_card_2(C,A),k2_card_2(B,C)) & r1_tarski(k2_card_2(A,C),k2_card_2(B,C)) & r1_tarski(k2_card_2(A,C),k2_card_2(C,B))))))))) # label(t69_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5595 (all A (v1_card_1(A) -> (-v1_finset_1(A) -> v4_ordinal1(A)))) # label(t32_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5596 (all A (v1_finset_1(k1_card_1(A)) <-> v1_finset_1(A))) # label(t1_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5597 (all A all B (v1_finset_1(B) -> B = k1_xboole_0 | r2_wellord2(k2_zfmisc_1(A,B),A) & k1_card_1(A) = k1_card_1(k2_zfmisc_1(A,B)) | v1_finset_1(A))) # label(t81_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5598 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> r1_tarski(k2_card_2(k1_card_1(A),k3_card_1(np__0)),k3_card_1(np__0)) & r1_tarski(k2_card_2(k3_card_1(np__0),k1_card_1(A)),k3_card_1(np__0)))) # label(t67_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5599 (all A (v3_ordinal1(A) -> (exists B (k14_ordinal2(A,B) = k15_ordinal2(A,k1_ordinal1(k4_ordinal2)) & m2_subset_1(B,k1_numbers,k5_numbers))))) # label(t29_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5600 $T # label(t10_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5601 (all A all B (v1_card_4(B) & r1_tarski(A,B) -> v1_card_4(A))) # label(t46_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5602 $T # label(t64_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5603 (all A (v1_card_1(A) -> (-v1_finset_1(A) -> k1_card_2(A,A) = A))) # label(t33_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5604 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (all C (v1_card_1(C) -> (all D (v1_card_1(D) -> (r2_hidden(A,B) & r2_hidden(C,D) -> r2_hidden(k1_card_2(A,C),k1_card_2(B,D)) & r2_hidden(k1_card_2(C,A),k1_card_2(B,D))))))))))) # label(t74_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5605 (all A (r2_hidden(A,a_0_2_card_4) <-> (exists B exists C exists D (m2_subset_1(B,k1_numbers,k5_numbers) & m2_subset_1(D,k1_numbers,k5_numbers) & p1_s3_card_4(B,C,D) & A = f1_s3_card_4(B,C,D) & m2_subset_1(C,k1_numbers,k5_numbers))))) # label(fraenkel_a_0_2_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5606 (all A (v1_card_1(A) -> (-v1_finset_1(A) -> k2_card_2(A,A) = A))) # label(t77_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5607 (all A all B -(-v1_finset_1(A) & (r1_tarski(k1_card_1(B),k1_card_1(A)) | r2_hidden(k1_card_1(B),k1_card_1(A))) & -(k1_card_1(A) = k1_card_1(k2_xboole_0(A,B)) & r2_wellord2(k2_xboole_0(A,B),A)))) # label(t37_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5608 (all A all B -(-v1_finset_1(A) & -(k1_card_1(A) = k1_card_1(k2_xboole_0(A,B)) & r2_wellord2(k2_xboole_0(A,B),A)) & (r2_wellord2(A,B) | r2_wellord2(B,A)))) # label(t35_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5609 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (all C (v1_card_1(C) -> (r2_hidden(k1_card_2(A,B),k1_card_2(A,C)) -> r2_hidden(B,C)))))))) # label(t75_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5610 (all A (-v1_xboole_0(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> -(-(r2_wellord2(k4_finseq_2(B,A),A) & k1_card_1(k4_finseq_2(B,A)) = k1_card_1(A)) & np__0 != B & -v1_finset_1(A)))))) # label(t86_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5611 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (r2_hidden(A,B) <-> r1_tarski(k2_card_1(A),B)))))) # label(t22_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5612 (all A (v3_ordinal1(A) -> (v4_ordinal1(A) <-> (all B (v3_ordinal1(B) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (r2_hidden(B,A) -> r2_hidden(k14_ordinal2(B,C),A))))))))) # label(t27_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5613 (all A all B (k1_card_1(A) = k1_card_1(B) <-> k2_card_1(B) = k2_card_1(A))) # label(t20_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5614 (all A (r2_hidden(A,a_0_0_card_4) <-> (exists B (p1_s1_card_4(B) & f1_s1_card_4(B) = A & m2_subset_1(B,k1_numbers,k5_numbers))))) # label(fraenkel_a_0_0_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5615 (all A all B (v1_card_4(B) & v1_card_4(A) -> v1_card_4(k5_xboole_0(A,B)))) # label(t50_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5616 (all A (-v1_xboole_0(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> r2_wellord2(k2_zfmisc_1(k4_finseq_2(B,A),k4_finseq_2(C,A)),k4_finseq_2(k1_nat_1(B,C),A)) & k1_card_1(k2_zfmisc_1(k4_finseq_2(B,A),k4_finseq_2(C,A))) = k1_card_1(k4_finseq_2(k1_nat_1(B,C),A)))))))) # label(t57_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5617 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (-v1_finset_1(A) -> -v1_finset_1(k1_card_2(B,A)) & -v1_finset_1(k1_card_2(A,B))))))) # label(t39_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5618 (all A (v3_ordinal1(A) -> (r1_ordinal1(k5_ordinal2,A) -> A = k14_ordinal2(k4_ordinal2,A)))) # label(t31_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5619 $T # label(t18_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5620 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (all C (v1_card_1(C) -> (all D (v1_card_1(D) -> -(A != np__0 & -r1_tarski(k3_card_2(A,C),k3_card_2(B,D)) & -(-(r2_hidden(C,D) & r1_tarski(A,B)) & -(r1_tarski(A,B) & r1_tarski(C,D)) & -(r1_tarski(C,D) & r2_hidden(A,B)) & -(r2_hidden(C,D) & r2_hidden(A,B)))))))))))) # label(t70_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5621 (all A (v3_ordinal1(A) -> (r2_hidden(A,k5_ordinal2) <-> v1_finset_1(A)))) # label(t7_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5622 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> r1_tarski(A,k1_card_2(A,B)) & r1_tarski(B,k1_card_2(A,B)))))) # label(t72_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5623 (all A all B (v1_card_4(B) & v1_card_4(A) -> v1_card_4(k2_xboole_0(A,B)))) # label(t47_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5624 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(k1_card_1(k1_relat_1(C)),A) & (all D (r2_hidden(D,k1_relat_1(C)) -> r1_tarski(k1_card_1(k1_funct_1(C,D)),B))) -> r1_tarski(k1_card_1(k3_card_3(C)),k2_card_2(A,B))))))))) # label(t59_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5625 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> -(-v1_finset_1(A) & (r2_hidden(B,A) | r1_tarski(B,A)) & -(r1_tarski(k2_card_2(A,B),A) & r1_tarski(k2_card_2(B,A),A))))))) # label(t79_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5626 (all A (v1_card_1(A) -> (-v1_finset_1(A) <-> r1_ordinal1(k3_card_1(np__0),A)))) # label(t11_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5627 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> -(-v1_finset_1(A) & -(A = k1_card_2(A,B) & A = k1_card_2(B,A)) & (r2_hidden(B,A) | r1_tarski(B,A))))))) # label(t34_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5628 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v1_card_4(k1_relat_1(A)) & (all B (r2_hidden(B,k1_relat_1(A)) -> v1_card_4(k1_funct_1(A,B)))) -> v1_card_4(k3_card_3(A))))) # label(t61_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5629 (all A (-v1_xboole_0(A) -> r2_wellord2(k4_finseq_2(np__1,A),A) & k1_card_1(k4_finseq_2(np__1,A)) = k1_card_1(A))) # label(t56_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5630 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (A != np__0 -> r1_tarski(B,k2_card_2(A,B)) & r1_tarski(B,k2_card_2(B,A))))))) # label(t73_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5631 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (all C (v1_card_1(C) -> (r1_tarski(A,B) | r2_hidden(A,B) -> r1_tarski(k1_card_2(A,C),k1_card_2(C,B)) & r1_tarski(k1_card_2(A,C),k1_card_2(B,C)) & r1_tarski(k1_card_2(C,A),k1_card_2(B,C)) & r1_tarski(k1_card_2(C,A),k1_card_2(C,B))))))))) # label(t42_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5632 (all A ((exists B (v1_relat_1(B) & v1_funct_1(B) & k1_relat_1(B) = k5_numbers & r1_tarski(A,k2_relat_1(B)))) <-> v1_card_4(A))) # label(t45_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5633 (all A (A = k1_xboole_0 <-> np__0 = k1_card_1(A))) # label(t17_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5634 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (all C (v1_card_1(C) -> (r2_hidden(k2_card_2(A,B),k2_card_2(A,C)) -> r2_hidden(B,C)))))))) # label(t83_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5635 (all A (v1_card_1(A) -> r1_tarski(np__0,A))) # label(t19_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5636 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (all C (v1_card_1(C) -> (all D (v1_card_1(D) -> (-(-(r1_tarski(A,B) & r2_hidden(C,D)) & -(r2_hidden(A,B) & r1_tarski(C,D)) & -(r1_tarski(C,D) & r1_tarski(A,B)) & -(r2_hidden(C,D) & r2_hidden(A,B))) -> r1_tarski(k2_card_2(C,A),k2_card_2(B,D)) & r1_tarski(k2_card_2(A,C),k2_card_2(B,D))))))))))) # label(t68_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5637 (all A (-v1_finset_1(A) -> k1_card_1(A) = k1_card_1(k2_zfmisc_1(A,A)) & r2_wellord2(k2_zfmisc_1(A,A),A))) # label(t80_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5638 (all A (-v1_xboole_0(A) -> r1_tarski(k3_card_1(np__0),k1_card_1(k3_finseq_2(A))))) # label(t66_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5639 (all A (v1_card_1(A) -> (r2_hidden(np__0,A) <-> r1_tarski(np__1,A)))) # label(t24_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5640 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (k2_nat_1(k1_card_4(np__2,A),k1_nat_1(k2_nat_1(np__2,B),np__1)) = k2_nat_1(k1_card_4(np__2,C),k1_nat_1(k2_nat_1(np__2,D),np__1)) -> C = A & D = B))))))))) # label(t52_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5641 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (all C (v1_card_1(C) -> -((r2_hidden(A,B) | r1_tarski(A,B)) & C != np__0 & -(r1_tarski(k3_card_2(C,A),k3_card_2(C,B)) & r1_tarski(k3_card_2(A,C),k3_card_2(B,C)))))))))) # label(t71_card_4) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5642 $T # label(t63_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5643 (all A all B all C (v1_partfun1(C,A,A) & m2_relset_1(C,A,A) & v1_relat_2(C) -> (r2_hidden(B,A) <-> r2_hidden(k4_tarski(B,B),C)))) # label(t27_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5644 (all A all B (v3_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v1_relat_2(B) -> (all C (v1_relat_2(C) & v3_relat_2(C) & v1_partfun1(C,A,A) & m2_relset_1(C,A,A) -> (r1_tarski(B,C) <-> r1_tarski(k3_toler_1(A,B),k3_toler_1(A,C))))))) # label(t71_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5645 $T # label(t60_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5646 $T # label(t11_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5647 $T # label(t12_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5648 (all A all B (v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,k3_tarski(A),k3_tarski(A)) & m2_relset_1(B,k3_tarski(A),k3_tarski(A)) -> (all C (v1_relat_2(C) & m2_relset_1(C,k3_tarski(A),k3_tarski(A)) & v1_partfun1(C,k3_tarski(A),k3_tarski(A)) & v3_relat_2(C) -> ((all D all E ((exists F (r2_hidden(F,A) & r2_hidden(D,F) & r2_hidden(E,F))) <-> r2_hidden(k4_tarski(D,E),B))) & (all D all E (r2_hidden(k4_tarski(D,E),C) <-> (exists F (r2_hidden(F,A) & r2_hidden(D,F) & r2_hidden(E,F))))) -> B = C))))) # label(t52_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5649 $T # label(t18_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5650 (all A all B all C (r2_hidden(C,A) & r2_hidden(B,A) -> r2_hidden(k4_tarski(B,C),k1_eqrel_1(A)))) # label(t15_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5651 $T # label(dt_k4_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5652 $T # label(t56_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5653 $T # label(d5_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5654 (all A all B (v1_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) -> ((all C (r2_hidden(C,A) -> m1_toler_1(k6_eqrel_1(A,B,C),A,B))) -> v8_relat_2(B)))) # label(t68_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5655 (all A all B (v3_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v1_relat_2(B) -> (all C (r2_hidden(C,A) -> m1_toler_1(k1_tarski(C),A,B))))) # label(t41_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5656 $T # label(t17_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5657 $T # label(d1_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5658 (all A all B (v1_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v3_relat_2(B) -> A = k3_tarski(k4_toler_1(A,B)))) # label(t66_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5659 (all A all B (m1_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) & v1_relat_2(B) -> (exists C m1_toler_1(C,A,B)))) # label(existence_m1_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5660 (all A all B (m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) & v1_relat_2(B) -> (all C -((all D (m1_toler_1(D,A,B) & v1_toler_1(D,A,B) -> -r2_hidden(C,D))) & r2_hidden(C,A))))) # label(t47_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5661 $T # label(dt_k3_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5662 (all A all B (v1_relat_1(A) -> k2_wellord1(A,B) = k1_toler_1(A,B))) # label(redefinition_k1_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5663 (all A all B (v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v3_relat_2(B) & v1_relat_2(B) -> m1_toler_1(k1_xboole_0,A,B))) # label(t34_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5664 $T # label(t10_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5665 (all A all B (v1_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v3_relat_2(B) -> (all C (m1_toler_1(C,A,B) -> (v1_toler_1(C,A,B) <-> (all D -(-r2_hidden(D,C) & (all E -(r2_hidden(E,C) & -r2_hidden(k4_tarski(D,E),B))) & r2_hidden(D,A)))))))) # label(d4_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5666 (all A all B (m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) & v1_relat_2(B) -> (all C all D (m1_toler_1(D,A,B) & v1_toler_1(D,A,B) -> (r2_hidden(C,D) -> r1_tarski(D,k6_eqrel_1(A,B,C))))))) # label(t70_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5667 (all A A = k5_relset_1(A,A,k1_eqrel_1(A))) # label(t13_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5668 (all A (r2_hidden(A,f1_s1_toler_1) -> p1_s1_toler_1(A,A))) & (all A all B (p1_s1_toler_1(A,B) & r2_hidden(B,f1_s1_toler_1) & r2_hidden(A,f1_s1_toler_1) -> p1_s1_toler_1(B,A))) -> (exists A (v1_partfun1(A,f1_s1_toler_1,f1_s1_toler_1) & m2_relset_1(A,f1_s1_toler_1,f1_s1_toler_1) & (all B all C (r2_hidden(B,f1_s1_toler_1) & r2_hidden(C,f1_s1_toler_1) -> (p1_s1_toler_1(B,C) <-> r2_hidden(k4_tarski(B,C),A)))) & v3_relat_2(A) & v1_relat_2(A))) # label(s1_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5669 $T # label(t57_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5670 $T # label(t30_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5671 (all A all B all C (r2_hidden(C,k3_relat_1(k1_eqrel_1(A))) & r2_hidden(B,k3_relat_1(k1_eqrel_1(A))) -> r2_hidden(k4_tarski(B,C),k1_eqrel_1(A)))) # label(t16_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5672 (all A all B all C (v1_relat_2(B) & v3_relat_2(B) & m1_subset_1(C,k1_zfmisc_1(A)) & m1_relset_1(B,A,A) & v1_partfun1(B,A,A) -> v1_relat_2(k2_toler_1(A,B,C)) & v3_relat_2(k2_toler_1(A,B,C)) & m2_relset_1(k2_toler_1(A,B,C),C,C) & v1_partfun1(k2_toler_1(A,B,C),C,C))) # label(dt_k2_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5673 (all A all B (v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v3_relat_2(B) & v1_relat_2(B) -> (all C all D (m1_toler_1(D,A,B) & m1_toler_1(C,A,B) -> m1_toler_1(k3_xboole_0(C,D),A,B))))) # label(t42_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5674 $T # label(t62_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5675 (all A all B all C (v1_relat_2(C) & m2_relset_1(C,A,A) & v1_partfun1(C,A,A) & v3_relat_2(C) -> (all D ((all E (r2_hidden(E,D) <-> r2_hidden(B,E) & v1_toler_1(E,A,C) & m1_toler_1(E,A,C))) -> k6_eqrel_1(A,C,B) = k3_tarski(D))))) # label(t58_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5676 (all A all B all C (v1_relat_2(C) & v3_relat_2(C) & m2_relset_1(C,B,B) & v1_partfun1(C,B,B) -> (r1_tarski(A,B) -> v1_relat_2(k1_toler_1(C,A)) & v3_relat_2(k1_toler_1(C,A)) & v1_partfun1(k1_toler_1(C,A),A,A) & m2_relset_1(k1_toler_1(C,A),A,A)))) # label(t33_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5677 (all A all B all C (v1_relat_2(C) & m2_relset_1(C,A,A) & v1_partfun1(C,A,A) & v3_relat_2(C) -> (all D ((all E (r2_hidden(E,D) <-> m1_toler_1(E,A,C) & r2_hidden(B,E))) -> k6_eqrel_1(A,C,B) = k3_tarski(D))))) # label(t59_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5678 $T # label(t36_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5679 (all A all B (v1_relat_1(A) -> m2_relset_1(k1_toler_1(A,B),B,B))) # label(dt_k1_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5680 (all A all B (m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) & v1_relat_2(B) -> r1_tarski(k4_toler_1(A,B),k3_toler_1(A,B)))) # label(t72_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5681 (all A all B (v3_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v1_relat_2(B) -> A = k5_relset_1(A,A,B))) # label(t25_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5682 $T # label(t23_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5683 $T # label(t31_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5684 (all A all B (v3_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v1_relat_2(B) -> r1_tarski(B,k1_eqrel_1(A)))) # label(t49_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5685 (all A v6_relat_2(k1_eqrel_1(A))) # label(t21_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5686 (all A all B all C (v1_relat_2(C) & v3_relat_2(C) & v1_partfun1(C,A,A) & m2_relset_1(C,A,A) -> (all D (r2_hidden(D,k6_eqrel_1(A,C,B)) <-> r2_hidden(k4_tarski(B,D),C))))) # label(t54_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5687 $T # label(t44_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5688 (all A all B (v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) -> (all C (v1_partfun1(C,A,A) & m2_relset_1(C,A,A) & v3_relat_2(C) & v1_relat_2(C) -> ((all D (r2_hidden(D,A) -> r1_tarski(k6_eqrel_1(A,B,D),k6_eqrel_1(A,C,D)))) -> r1_tarski(B,C)))))) # label(t73_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5689 $T # label(t24_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5690 (all A all B (v3_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v1_relat_2(B) -> r3_relat_2(B,A))) # label(t29_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5691 (all A all B (m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) & v1_relat_2(B) -> (all C (v1_partfun1(C,A,A) & m2_relset_1(C,A,A) & v3_relat_2(C) & v1_relat_2(C) -> (r1_tarski(k4_toler_1(A,B),k4_toler_1(A,C)) -> r1_tarski(B,C)))))) # label(t64_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5692 (all A all B (v1_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) -> (all C ((all D all E (r2_hidden(E,C) & r2_hidden(D,C) -> r2_hidden(k4_tarski(D,E),B))) <-> m1_toler_1(C,A,B))))) # label(d3_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5693 (all A all B (v1_relat_2(B) & v1_partfun1(B,A,A) & m1_relset_1(B,A,A) & v3_relat_2(B) -> (exists C (v1_toler_1(C,A,B) & m1_toler_1(C,A,B))))) # label(rc1_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5694 $T # label(t55_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5695 $T # label(t22_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5696 (all A all B (v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) -> (all C (m1_toler_1(C,A,B) -> (exists D (v1_toler_1(D,A,B) & m1_toler_1(D,A,B) & r1_tarski(C,D))))))) # label(t45_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5697 $T # label(t48_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5698 $T # label(d2_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5699 $T # label(t35_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5700 (all A all B (v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v3_relat_2(B) & v1_relat_2(B) -> (all C all D (r2_hidden(k4_tarski(C,D),B) -> m1_toler_1(k2_tarski(C,D),A,B))))) # label(t40_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5701 (all A exists B (v3_relat_2(B) & (all C (r2_hidden(C,A) -> m1_toler_1(C,k3_tarski(A),B))) & m2_relset_1(B,k3_tarski(A),k3_tarski(A)) & v1_partfun1(B,k3_tarski(A),k3_tarski(A)) & v1_relat_2(B))) # label(t51_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5702 (all A all B all C (v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,A,A) & m1_subset_1(C,k1_zfmisc_1(A)) & m1_relset_1(B,A,A) -> k2_wellord1(B,C) = k2_toler_1(A,B,C))) # label(redefinition_k2_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5703 $T # label(t20_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5704 (all A all B (v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) -> (all C (v1_relat_2(C) & v1_partfun1(C,A,A) & m2_relset_1(C,A,A) & v3_relat_2(C) -> (k4_toler_1(A,C) = k4_toler_1(A,B) -> C = B))))) # label(t65_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5705 $T # label(t14_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5706 (all A all B (v3_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v1_relat_2(B) -> (v8_relat_2(B) -> (all C (r2_hidden(C,A) -> m1_toler_1(k6_eqrel_1(A,B,C),A,B) & v1_toler_1(k6_eqrel_1(A,B,C),A,B)))))) # label(t69_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5707 (all A all B (v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) -> k3_tarski(k3_toler_1(A,B)) = A)) # label(t67_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5708 $T # label(t61_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5709 (all A all B (v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v3_relat_2(B) & v1_relat_2(B) -> r1_tarski(B,k7_relset_1(A,A,A,A,B,B)))) # label(t74_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5710 (all A all B (v3_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v1_relat_2(B) -> (all C (v3_relat_2(C) & m2_relset_1(C,A,A) & v1_partfun1(C,A,A) & v1_relat_2(C) -> ((all D (v1_toler_1(D,A,C) & m1_toler_1(D,A,C) <-> m1_toler_1(D,A,B) & v1_toler_1(D,A,B))) -> B = C))))) # label(t53_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5711 (all A all B all C all D (m2_relset_1(D,A,B) -> (v3_relat_2(D) -> v3_relat_2(k1_toler_1(D,C))))) # label(t32_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5712 (all A all B all C (v1_relat_2(C) & v3_relat_2(C) & m2_relset_1(C,B,B) & v1_partfun1(C,B,B) -> (m1_toler_1(A,B,C) -> r1_tarski(A,B)))) # label(t43_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5713 $T # label(dt_m1_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5714 (all A all B (v3_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v1_relat_2(B) -> (all C ((all D (r2_hidden(D,C) <-> m1_toler_1(D,A,B))) <-> C = k3_toler_1(A,B))))) # label(d6_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5715 (all A all B (v1_relat_2(B) & v3_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) -> (all C (C = k4_toler_1(A,B) <-> (all D (r2_hidden(D,C) <-> v1_toler_1(D,A,B) & m1_toler_1(D,A,B))))))) # label(d7_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5716 (all A v7_relat_2(k1_eqrel_1(A))) # label(t19_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5717 $T # label(t37_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5718 (all A all B (m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) & v1_relat_2(B) -> r1_tarski(k6_partfun1(A),B))) # label(t50_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5719 $T # label(t26_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5720 (all A all B (v1_relat_2(B) & v3_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) -> (all C all D -((all E (m1_toler_1(E,A,B) & v1_toler_1(E,A,B) -> -(r2_hidden(D,E) & r2_hidden(C,E)))) & r2_hidden(k4_tarski(C,D),B))))) # label(t46_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5721 (all A all B (v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) -> (m1_toler_1(k1_xboole_0,A,B) & v1_toler_1(k1_xboole_0,A,B) -> B = k1_xboole_0))) # label(t38_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5722 (all A all B (v1_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v3_relat_2(B) -> r1_relat_2(B,A))) # label(t28_toler_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5723 $T # label(t8_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5724 (all A (m2_finseq_1(A,k1_numbers) -> k3_funct_2(k5_numbers,k1_numbers,k9_rvsum_1(np__0,A),k1_tarski(np__0)) = k4_finseq_1(A))) # label(t38_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5725 (all A (m1_subset_1(A,k1_numbers) -> (all B (m1_subset_1(B,k1_numbers) -> k2_finseq_4(k1_numbers,k5_real_1(A,B),B) = k2_rfinseq(k2_finseq_4(k1_numbers,A,B)))))) # label(t27_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5726 (all A (-v1_xboole_0(A) -> (all B (m2_finseq_1(B,A) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> B = k8_finseq_1(A,k16_finseq_1(A,B,C),k1_rfinseq(A,B,C)))))))) # label(t21_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5727 (all A (v1_rfinseq(A) & m2_finseq_1(A,k1_numbers) -> (all B (v1_rfinseq(B) & m2_finseq_1(B,k1_numbers) -> (r1_rfinseq(A,B) -> A = B))))) # label(t36_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5728 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> ((all C k4_card_1(k10_relat_1(A,C)) = k4_card_1(k10_relat_1(B,C))) <-> r1_rfinseq(A,B)))))) # label(t13_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5729 $T # label(t12_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5730 (all A (-v1_xboole_0(A) -> (all B (m2_finseq_1(B,A) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (all D (k1_funct_1(B,k1_nat_1(C,np__1)) = D & k3_finseq_1(B) = k1_nat_1(C,np__1) -> k7_finseq_1(k16_finseq_1(A,B,C),k9_finseq_1(D)) = B)))))))) # label(t20_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5731 (all A (m2_finseq_1(A,k1_numbers) -> (exists B (m2_finseq_1(B,k1_numbers) & r1_rfinseq(A,B) & v1_rfinseq(B))))) # label(t35_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5732 (all A all B (v1_relat_1(A) & v1_relat_1(B) -> (r1_rfinseq(A,B) -> r1_rfinseq(B,A)))) # label(symmetry_r1_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5733 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_rfinseq(A,B) <-> (all C k1_card_1(k10_relat_1(B,C)) = k1_card_1(k10_relat_1(A,C)))))))) # label(t4_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5734 (all A all B (m2_finseq_1(B,A) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (all D (m2_finseq_1(D,A) -> (-r1_xreal_0(C,k3_finseq_1(B)) -> (k1_rfinseq(A,B,C) = D <-> D = k6_finseq_1(A))) & (r1_xreal_0(C,k3_finseq_1(B)) -> (k5_real_1(k3_finseq_1(B),C) = k3_finseq_1(D) & (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (r2_hidden(E,k4_finseq_1(D)) -> k1_funct_1(D,E) = k1_funct_1(B,k1_nat_1(E,C))))) <-> D = k1_rfinseq(A,B,C))))))))) # label(d2_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5735 (all A (m2_finseq_1(A,k1_numbers) -> (all B (m2_finseq_1(B,k1_numbers) -> (r1_rfinseq(A,B) -> k15_rvsum_1(B) = k15_rvsum_1(A)))))) # label(t22_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.56	5736 (all A (-v1_xboole_0(A) -> (all B (m2_finseq_1(B,A) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r2_hidden(C,k4_finseq_1(B)) & r2_hidden(D,k2_finseq_1(C)) -> r2_hidden(D,k4_finseq_1(B)) & k1_funct_1(B,D) = k1_funct_1(k16_finseq_1(A,B,C),D)))))))))) # label(t19_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5737 (all A (m2_finseq_1(A,k1_numbers) & v1_rfinseq(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> v1_rfinseq(k16_finseq_1(k1_numbers,A,B)) & m2_finseq_1(k16_finseq_1(k1_numbers,A,B),k1_numbers))))) # label(t33_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5738 (exists A (m1_finseq_1(A,k1_numbers) & v1_funct_1(A) & v1_finset_1(A) & v1_rfinseq(A) & v1_finseq_1(A) & v1_relat_1(A))) # label(rc1_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5739 (all A (m2_finseq_1(A,k1_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r1_xreal_0(np__1,B) -> r1_xreal_0(k3_finseq_1(A),B) | k2_seq_1(k5_numbers,k1_numbers,A,k1_nat_1(B,np__1)) = k15_rvsum_1(k2_rfinseq(k1_rfinseq(k1_numbers,A,B)))))))) # label(t30_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5740 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (k1_relat_1(A) = k1_relat_1(B) -> (r1_rfinseq(A,B) <-> (exists C (v1_funct_1(C) & A = k5_relat_1(C,B) & m2_relset_1(C,k1_relat_1(A),k1_relat_1(A)) & v3_funct_2(C,k1_relat_1(A),k1_relat_1(A)) & v1_funct_2(C,k1_relat_1(A),k1_relat_1(A)))))))))) # label(t6_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5741 (all A (m1_subset_1(A,k1_numbers) -> k2_rfinseq(k12_finseq_1(k1_numbers,A)) = k12_finseq_1(k1_numbers,A))) # label(t26_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5742 (all A (m2_finseq_1(A,k1_numbers) -> (all B (m2_finseq_1(B,k1_numbers) -> (k2_seq_1(k5_numbers,k1_numbers,A,k3_finseq_1(A)) = k2_seq_1(k5_numbers,k1_numbers,B,k3_finseq_1(B)) & (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (r1_xreal_0(C,k5_real_1(k3_finseq_1(B),np__1)) & r1_xreal_0(np__1,C) -> k5_real_1(k2_seq_1(k5_numbers,k1_numbers,A,C),k2_seq_1(k5_numbers,k1_numbers,A,k1_nat_1(C,np__1))) = k2_seq_1(k5_numbers,k1_numbers,B,C)))) & k3_finseq_1(B) = k3_finseq_1(A) <-> B = k2_rfinseq(A)))))) # label(d3_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5743 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (r1_rfinseq(A,B) <-> (all C k1_card_1(k10_relat_1(A,k1_tarski(C))) = k1_card_1(k10_relat_1(B,k1_tarski(C))))))))) # label(d1_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5744 (all A (m2_finseq_1(A,k1_numbers) -> (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_subset_1(C,k1_numbers) -> (B != np__0 -> k3_funct_2(k5_numbers,k1_numbers,A,k1_tarski(k6_real_1(C,B))) = k3_funct_2(k5_numbers,k1_numbers,k9_rvsum_1(B,A),k1_tarski(C))))))))) # label(t37_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5745 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> ((exists C (k5_relat_1(C,B) = A & m2_relset_1(C,k4_finseq_1(B),k4_finseq_1(B)) & v3_funct_2(C,k4_finseq_1(B),k4_finseq_1(B)) & v1_funct_2(C,k4_finseq_1(B),k4_finseq_1(B)) & v1_funct_1(C))) <-> r1_rfinseq(A,B)))))) # label(t17_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5746 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> r1_rfinseq(k7_finseq_1(A,B),k7_finseq_1(B,A)))))) # label(t15_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5747 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (r1_rfinseq(A,B) -> k1_card_1(k1_relat_1(B)) = k1_card_1(k1_relat_1(A))))))) # label(t7_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5748 (all A (m2_finseq_1(A,k1_numbers) -> (k3_finseq_1(A) != np__0 -> k2_seq_1(k5_numbers,k1_numbers,A,np__1) = k15_rvsum_1(k2_rfinseq(A))))) # label(t29_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5749 (all A (m2_finseq_1(A,k1_numbers) -> (v1_rfinseq(A) <-> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (r2_hidden(B,k4_finseq_1(A)) & r2_hidden(C,k4_finseq_1(A)) -> r1_xreal_0(C,B) | r1_xreal_0(k2_seq_1(k5_numbers,k1_numbers,A,C),k2_seq_1(k5_numbers,k1_numbers,A,B)))))))))) # label(t32_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5750 (all A (-v1_xboole_0(A) -> (all B (v1_finset_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_finset_1(C) & v1_relat_1(C) -> (r1_tarski(k2_relat_1(B),A) & r1_tarski(k2_relat_1(C),A) -> ((all D (m1_subset_1(D,A) -> k4_card_1(k10_relat_1(C,k1_tarski(D))) = k4_card_1(k10_relat_1(B,k1_tarski(D))))) <-> r1_rfinseq(B,C))))))))) # label(t11_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5751 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> (r1_rfinseq(A,B) -> k4_finseq_1(A) = k4_finseq_1(B) & k3_finseq_1(A) = k3_finseq_1(B)))))) # label(t16_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5752 (all A (m2_finseq_1(A,k1_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> k2_rfinseq(k1_rfinseq(k1_numbers,A,B)) = k1_rfinseq(k1_numbers,k2_rfinseq(A),B))))) # label(t28_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5753 (all A (m2_finseq_1(A,k1_numbers) & v1_rfinseq(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> v1_rfinseq(k1_rfinseq(k1_numbers,A,B)) & m2_finseq_1(k1_rfinseq(k1_numbers,A,B),k1_numbers))))) # label(t34_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5754 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_finset_1(B) -> (exists C (r1_rfinseq(k7_relat_1(A,B),C) & v1_finseq_1(C) & v1_funct_1(C) & v1_relat_1(C))))))) # label(t18_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5755 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_finseq_1(C) & v1_funct_1(C) & v1_relat_1(C) -> (r1_rfinseq(k7_finseq_1(A,C),k7_finseq_1(B,C)) <-> r1_rfinseq(A,B)))))))) # label(t14_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5756 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (r1_rfinseq(A,B) -> k2_relat_1(B) = k2_relat_1(A)))))) # label(t1_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5757 (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) -> (r1_rfinseq(A,C) & r1_rfinseq(A,B) -> r1_rfinseq(B,C)))))))) # label(t2_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5758 (all A all B all C (m1_subset_1(C,k5_numbers) & m1_finseq_1(B,A) -> m2_finseq_1(k1_rfinseq(A,B,C),A))) # label(dt_k1_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5759 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(A) -> (all B (v1_relat_1(B) & v1_finset_1(B) & v1_funct_1(B) -> (r1_rfinseq(A,B) -> k4_card_1(k1_relat_1(A)) = k4_card_1(k1_relat_1(B))))))) # label(t10_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5760 (all A (m2_finseq_1(A,k1_numbers) -> (all B (m1_subset_1(B,k1_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (k3_finseq_1(A) = k1_nat_1(C,np__2) & k2_seq_1(k5_numbers,k1_numbers,A,k1_nat_1(C,np__1)) = B -> k2_rfinseq(k16_finseq_1(k1_numbers,A,k1_nat_1(C,np__1))) = k8_finseq_1(k1_numbers,k16_finseq_1(k1_numbers,k2_rfinseq(A),C),k12_finseq_1(k1_numbers,B))))))))) # label(t23_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5761 (all A (m2_finseq_1(A,k1_numbers) -> (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_subset_1(C,k1_numbers) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (k3_finseq_1(A) = k1_nat_1(D,np__2) & B = k2_seq_1(k5_numbers,k1_numbers,A,k1_nat_1(D,np__1)) & k2_seq_1(k5_numbers,k1_numbers,A,k1_nat_1(D,np__2)) = C -> k8_finseq_1(k1_numbers,k16_finseq_1(k1_numbers,k2_rfinseq(A),D),k2_finseq_4(k1_numbers,k5_real_1(B,C),C)) = k2_rfinseq(A)))))))))) # label(t24_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5762 (all A (m2_finseq_1(A,k1_numbers) -> (np__0 = k3_finseq_1(A) | np__1 = k3_finseq_1(A) -> v1_rfinseq(A)))) # label(t31_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5763 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> ((exists C (A = k5_relat_1(C,B) & v2_funct_1(C) & k1_relat_1(B) = k2_relat_1(C) & k1_relat_1(C) = k1_relat_1(A) & v1_funct_1(C) & v1_relat_1(C))) <-> r1_rfinseq(A,B)))))) # label(t3_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5764 (all A all B (v1_relat_1(B) & v1_relat_1(A) -> r1_rfinseq(A,A))) # label(reflexivity_r1_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5765 (all A (m1_finseq_1(A,k1_numbers) -> m2_finseq_1(k2_rfinseq(A),k1_numbers))) # label(dt_k2_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5766 (all A all B (v1_relat_1(A) & v1_finset_1(B) & v1_funct_1(A) -> v1_finset_1(k7_relat_1(A,B)) & v1_funct_1(k7_relat_1(A,B)) & v1_relat_1(k7_relat_1(A,B)))) # label(fc1_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5767 (all A (v1_relat_1(A) & v1_finset_1(A) & v1_funct_1(A) -> (all B (v1_finset_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (r1_rfinseq(A,B) <-> (all C k4_card_1(k10_relat_1(B,C)) = k4_card_1(k10_relat_1(A,C)))))))) # label(t9_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5768 (all A (m2_finseq_1(A,k1_numbers) -> ((all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r2_hidden(k1_nat_1(B,np__1),k4_finseq_1(A)) & r2_hidden(B,k4_finseq_1(A)) -> r1_xreal_0(k2_seq_1(k5_numbers,k1_numbers,A,k1_nat_1(B,np__1)),k2_seq_1(k5_numbers,k1_numbers,A,B))))) <-> v1_rfinseq(A)))) # label(d4_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5769 (all A (-v1_xboole_0(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(k2_relat_1(C),A) & r1_tarski(k2_relat_1(B),A) -> ((all D (m1_subset_1(D,A) -> k1_card_1(k10_relat_1(B,k1_tarski(D))) = k1_card_1(k10_relat_1(C,k1_tarski(D))))) <-> r1_rfinseq(B,C))))))))) # label(t5_rfinseq) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5770 (all A (-v1_finset_1(A) -> (all B (m1_card_fil(B,A) -> (v3_card_fil(B,A) & r1_card_fil(A,k1_card_1(A),B) -> v2_card_fil(B,A) | v1_card_fil(B,A)))))) # label(t23_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5771 (all A (-v1_finset_1(A) & v1_card_1(A) -> (v5_card_fil(A) <-> (all B (v1_card_1(B) -> (r2_hidden(B,A) -> r2_hidden(k3_card_2(np__2,B),A))))))) # label(d14_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5772 (all A (-v1_xboole_0(A) -> (all B (m1_card_fil(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> k3_card_fil(A,B,C) = a_3_0_card_fil(A,B,C))))))) # label(d8_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5773 r3_card_fil <-> (all A (-v1_finset_1(A) & v1_card_1(A) -> k3_card_2(np__2,A) = k2_card_1(A))) # label(d12_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5774 (all A (-v1_finset_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (r2_hidden(B,k5_card_fil(A)) <-> r2_hidden(k1_card_1(k1_card_fil(A,B)),k1_card_1(A))))))) # label(t18_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5775 (all A ((exists B (m1_subset_1(B,f1_s1_card_fil) & A = B & p1_s1_card_fil(B))) <-> r2_hidden(A,a_0_0_card_fil))) # label(fraenkel_a_0_0_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5776 (all A all B m1_subset_1(k1_card_fil(A,B),k1_zfmisc_1(A))) # label(dt_k1_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5777 (all A (-v1_finset_1(A) -> v1_ordinal1(k1_card_1(A)) & v2_ordinal1(k1_card_1(A)) & v3_ordinal1(k1_card_1(A)) & v1_card_1(k1_card_1(A)) & -v1_finset_1(k1_card_1(A)) & -v1_xboole_0(k1_card_1(A)))) # label(fc1_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5778 (all A (v1_card_1(A) -> r1_tarski(k2_card_1(A),k3_card_2(np__2,A)))) # label(t24_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5779 (all A (-v1_xboole_0(A) -> (all B (m1_card_fil(B,A) -> (exists C (r1_tarski(B,C) & v3_card_fil(C,A) & m1_card_fil(C,A))))))) # label(t17_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5780 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (m2_card_fil(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (r2_hidden(C,B) & r2_hidden(D,B) -> r2_hidden(k4_subset_1(A,C,D),B)) & (r2_hidden(C,B) & r1_tarski(D,C) -> r2_hidden(D,B)))))) & -r2_hidden(A,B)))))) # label(d2_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5781 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_card_fil(C,A) -> ((all D (m1_subset_1(D,k1_zfmisc_1(A)) -> -(r2_hidden(D,C) & r1_xboole_0(D,B)))) -> m1_card_fil(k3_card_fil(A,C,B),A) & r1_tarski(C,k3_card_fil(A,C,B)) & r2_hidden(B,k3_card_fil(A,C,B))))))))) # label(t14_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5782 (all A (v1_card_1(A) & -v1_finset_1(A) -> (v7_card_fil(A) -> v4_card_fil(A)))) # label(t39_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5783 (all A (-v1_xboole_0(A) -> (all B (m1_card_fil(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) & -v1_xboole_0(C) -> ((all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (r2_hidden(k3_subset_1(A,D),B) <-> r2_hidden(D,C)))) -> -r2_hidden(A,C) & (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (all E (m1_subset_1(E,k1_zfmisc_1(A)) -> (r2_hidden(D,C) & r1_tarski(E,D) -> r2_hidden(E,C)) & (r2_hidden(D,C) & r2_hidden(E,C) -> r2_hidden(k4_subset_1(A,D,E),C))))))))))))) # label(t7_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5784 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> k7_setfam_1(A,B) = a_2_0_card_fil(A,B))))) # label(t8_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5785 (all A (-v1_xboole_0(A) -> (all B (v1_card_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) & -v1_xboole_0(C) -> ((all D (-v1_xboole_0(D) -> (r1_tarski(D,C) & r2_hidden(k1_card_1(D),B) -> r2_hidden(k3_tarski(D),C)))) <-> r2_card_fil(A,B,C)))))))) # label(d4_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5786 (all A all B (m1_card_fil(B,A) & -v1_xboole_0(A) -> k2_card_fil(A,B) = k7_setfam_1(A,B))) # label(redefinition_k2_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5787 (all A (-v1_finset_1(A) -> (all B (m1_card_fil(B,A) -> (v1_card_fil(B,A) & v3_card_fil(B,A) -> r1_tarski(k5_card_fil(A),B)))))) # label(t21_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5788 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & -v1_xboole_0(C) & -v1_xboole_0(B) -> ((exists D (m1_subset_1(D,k1_zfmisc_1(B)) & k3_subset_1(B,D) = A & r2_hidden(D,C))) <-> r2_hidden(A,a_2_1_card_fil(B,C))))) # label(fraenkel_a_2_1_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5789 (all A (-v1_xboole_0(A) -> (all B (m1_card_fil(B,A) -> r2_hidden(A,B))))) # label(t5_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5790 (all A (-v2_card_1(A) & v1_card_1(A) -> (all B (v1_card_1(B) -> (A = k2_card_1(B) <-> k7_card_fil(A) = B))))) # label(d17_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5791 (all A all B all C all D (v1_card_1(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k7_card_fil(B),B),k1_zfmisc_1(B)) & m1_subset_1(D,B) & m2_relset_1(C,k2_zfmisc_1(k7_card_fil(B),B),k1_zfmisc_1(B)) & -v2_card_1(B) & -v1_finset_1(B) -> (r2_hidden(A,a_3_3_card_fil(B,C,D)) <-> (exists E (r2_hidden(E,k7_card_fil(B)) & k2_binop_1(k7_card_fil(B),B,k1_zfmisc_1(B),C,E,D) = A & m1_subset_1(E,k7_card_fil(B))))))) # label(fraenkel_a_3_3_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5792 (all A (-v1_xboole_0(A) -> m1_subset_1(k4_card_fil(A),k1_zfmisc_1(k1_zfmisc_1(k1_zfmisc_1(A)))) & -v1_xboole_0(k4_card_fil(A)))) # label(dt_k4_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5793 (all A all B all C all D (-v1_xboole_0(B) & m1_card_fil(C,B) & m1_subset_1(D,k1_zfmisc_1(B)) -> ((exists E (A = k5_subset_1(B,E,D) & r2_hidden(E,C) & m1_subset_1(E,k1_zfmisc_1(B)))) <-> r2_hidden(A,a_3_1_card_fil(B,C,D))))) # label(fraenkel_a_3_1_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5794 (all A (v1_card_1(A) & -v1_finset_1(A) -> (v6_card_fil(A) -> v4_card_fil(A)))) # label(t30_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5795 (all A all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & -v1_xboole_0(A) -> -v1_xboole_0(k7_setfam_1(A,B)))) # label(fc2_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5796 (all A (-v1_finset_1(A) -> m1_card_fil(k5_card_fil(A),A))) # label(dt_k5_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5797 (all A all B all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & -v1_xboole_0(B) -> (r2_hidden(A,a_2_0_card_fil(B,C)) <-> (exists D (A = D & r2_hidden(k3_subset_1(B,D),C) & m1_subset_1(D,k1_zfmisc_1(B))))))) # label(fraenkel_a_2_0_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5798 (all A (-v1_xboole_0(A) -> (all B (m1_card_fil(B,A) -> -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))))))) # label(dt_m1_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5799 (all A (-v1_xboole_0(A) -> m1_card_fil(k1_tarski(A),A))) # label(t4_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5800 (all A (-v1_finset_1(A) -> k6_card_fil(A) = k2_card_fil(A,k5_card_fil(A)))) # label(d11_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5801 (all A (-v1_xboole_0(A) -> (all B (m1_card_fil(B,A) -> ((all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (r2_hidden(C,B) -> k1_card_1(C) = k1_card_1(A)))) <-> v1_card_fil(B,A)))))) # label(d5_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5802 (all A (v4_card_fil(A) & v1_card_1(A) & -v1_finset_1(A) -> v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & -v1_xboole_0(A) & v1_card_1(A) & v2_card_1(A) & v1_card_5(A) & -v1_finset_1(A))) # label(cc2_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5803 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k4_card_fil(A))) -> (v6_ordinal1(B) -> m1_card_fil(k3_tarski(B),A)))))) # label(t16_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5804 (all A (-v1_xboole_0(A) -> a_1_0_card_fil(A) = k4_card_fil(A))) # label(d9_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5805 (all A (-v2_card_1(A) & v1_card_1(A) & -v1_finset_1(A) -> (all B (m2_card_fil(B,A) -> -((all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) -> -(k1_card_1(C) = A & (all D all E (r2_hidden(D,C) & r2_hidden(E,C) -> r1_xboole_0(D,E) | E = D)) & (all D -(r2_hidden(D,B) & r2_hidden(D,C)))))) & r1_tarski(k6_card_fil(A),B) & r2_card_fil(A,A,B)))))) # label(t35_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5806 (all A all B (-v1_xboole_0(B) -> ((exists C (C = A & m1_card_fil(C,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))))) <-> r2_hidden(A,a_1_0_card_fil(B))))) # label(fraenkel_a_1_0_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5807 (all A all B (m1_card_fil(B,A) & -v1_xboole_0(A) -> m2_card_fil(k2_card_fil(A,B),A))) # label(dt_k2_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5808 (all A (-v1_xboole_0(A) -> (all B (m2_card_fil(B,A) -> -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))))))) # label(dt_m2_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5809 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & -r2_hidden(k1_xboole_0,B) & (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (r2_hidden(C,B) & r1_tarski(C,D) -> r2_hidden(D,B)) & (r2_hidden(D,B) & r2_hidden(C,B) -> r2_hidden(k5_subset_1(A,C,D),B)))))) & -v1_xboole_0(B) <-> m1_card_fil(B,A))))) # label(t3_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5810 (all A (-v1_xboole_0(A) -> (all B (m1_card_fil(B,A) <-> r2_hidden(B,k4_card_fil(A)))))) # label(t15_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5811 (all A all B (-v1_finset_1(B) -> ((exists C (r2_hidden(k1_card_1(k1_card_fil(B,C)),k1_card_1(B)) & A = C & m1_subset_1(C,k1_zfmisc_1(B)))) <-> r2_hidden(A,a_1_1_card_fil(B))))) # label(fraenkel_a_1_1_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5812 (all A (-v1_finset_1(A) & v1_card_1(A) -> (v1_card_5(A) & v2_card_1(A) <-> v4_card_fil(A)))) # label(d13_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5813 (all A (v6_card_fil(A) & v1_card_1(A) & -v1_finset_1(A) -> v2_ordinal1(A) & v2_card_1(A) & v1_card_5(A) & v5_card_fil(A) & v1_card_1(A) & -v1_finset_1(A) & -v1_xboole_0(A) & v3_ordinal1(A) & v1_ordinal1(A))) # label(cc4_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5814 (all A (v1_card_1(A) & -v1_finset_1(A) -> (v7_card_fil(A) <-> (exists B (-v2_card_fil(B,A) & v3_card_fil(B,A) & r1_card_fil(A,A,B) & m1_card_fil(B,A)))))) # label(d16_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5815 (all A (-v1_xboole_0(A) -> (exists B m1_card_fil(B,A)))) # label(existence_m1_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5816 (all A (-v1_finset_1(A) & -v2_card_1(A) & v1_card_1(A) -> v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & -v1_xboole_0(A) & v1_card_5(A) & v1_card_1(A) & -v1_finset_1(A))) # label(cc6_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5817 (all A (-v1_finset_1(A) -> k5_card_fil(A) = a_1_1_card_fil(A))) # label(d10_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5818 (all A all B (v1_card_1(B) -> -((all C -(r1_tarski(C,A) & k1_card_1(C) = B)) & r1_tarski(B,k1_card_1(A))))) # label(t36_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5819 (all A (-v1_xboole_0(A) -> (all B (m1_card_fil(B,A) -> (v2_card_fil(B,A) <-> (exists C (m1_subset_1(C,k1_zfmisc_1(A)) & r2_hidden(C,B) & (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (r2_hidden(D,B) -> r1_tarski(C,D))))))))))) # label(d6_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5820 (all A (v1_card_1(A) & -v1_finset_1(A) -> v2_ordinal1(k2_card_1(A)) & v1_card_1(k2_card_1(A)) & -v2_card_1(k2_card_1(A)) & -v1_finset_1(k2_card_1(A)) & -v1_xboole_0(k2_card_1(A)) & v3_ordinal1(k2_card_1(A)) & v1_ordinal1(k2_card_1(A)))) # label(fc3_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5821 (exists A (v2_ordinal1(A) & v3_ordinal1(A) & -v1_xboole_0(A) & v1_card_1(A) & -v2_card_1(A) & -v1_finset_1(A) & v1_ordinal1(A))) # label(rc2_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5822 (all A (-v1_finset_1(A) & v1_card_1(A) -> (v5_card_fil(A) -> v2_card_1(A)))) # label(t27_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5823 (all A (-v1_finset_1(A) & v6_card_fil(A) & v1_card_1(A) -> v1_ordinal1(A) & -v1_finset_1(A) & v1_card_1(A) & v2_card_1(A) & v4_card_fil(A) & v1_card_5(A) & -v1_xboole_0(A) & v3_ordinal1(A) & v2_ordinal1(A))) # label(cc5_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5824 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & -v1_xboole_0(B) -> (m1_card_fil(B,A) <-> -r2_hidden(k1_xboole_0,B) & (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (r2_hidden(D,B) & r2_hidden(C,B) -> r2_hidden(k5_subset_1(A,C,D),B)) & (r2_hidden(C,B) & r1_tarski(C,D) -> r2_hidden(D,B))))))))))) # label(d1_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5825 r2_hidden(f2_s1_card_fil,a_0_0_card_fil) -> p1_s1_card_fil(f2_s1_card_fil) # label(s1_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5826 (all A all B all C (m1_card_fil(B,A) & m1_subset_1(C,k1_zfmisc_1(A)) & -v1_xboole_0(A) -> m1_subset_1(k3_card_fil(A,B,C),k1_zfmisc_1(k1_zfmisc_1(A))) & -v1_xboole_0(k3_card_fil(A,B,C)))) # label(dt_k3_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5827 (all A (-v1_xboole_0(A) -> (all B (m1_card_fil(B,A) -> (v3_card_fil(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> r2_hidden(k1_card_fil(A,C),B) | r2_hidden(C,B)))))))) # label(d7_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5828 (all A (-v1_xboole_0(A) -> (all B (v1_card_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) & -v1_xboole_0(C) -> (r1_card_fil(A,B,C) <-> (all D (-v1_xboole_0(D) -> (r2_hidden(k1_card_1(D),B) & r1_tarski(D,C) -> r2_hidden(k1_setfam_1(D),C))))))))))) # label(d3_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5829 (all A (v1_card_1(A) & -v1_finset_1(A) -> (v2_card_1(A) & r3_card_fil -> v5_card_fil(A)))) # label(t28_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5830 (all A (-v1_xboole_0(A) -> (all B (m2_card_fil(B,A) -> r2_hidden(k1_xboole_0,B))))) # label(t11_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.57	5831 (all A (-v1_finset_1(A) & -v2_card_1(A) & v1_card_1(A) -> (exists B (r4_card_fil(A,B) & m2_relset_1(B,k2_zfmisc_1(k7_card_fil(A),A),k1_zfmisc_1(A)) & v1_funct_2(B,k2_zfmisc_1(k7_card_fil(A),A),k1_zfmisc_1(A)) & v1_funct_1(B))))) # label(t34_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5832 (all A all B (-v1_xboole_0(A) & m1_card_fil(B,A) -> k2_card_fil(A,k2_card_fil(A,B)) = B)) # label(involutiveness_k2_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5833 (all A (v1_card_1(A) & -v1_finset_1(A) -> (v7_card_fil(A) -> v5_card_fil(A)))) # label(t40_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5834 (all A all B (-v1_finset_1(B) -> r2_hidden(k1_card_1(k1_tarski(A)),k1_card_1(B)))) # label(t1_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5835 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_card_fil(C,A) -> -(r2_hidden(k1_card_fil(A,B),C) & r2_hidden(B,C)))))))) # label(t6_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5836 (all A (v1_card_1(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & -v1_xboole_0(C) -> (r1_card_fil(B,A,C) -> r2_card_fil(B,A,k7_setfam_1(B,C))))))))) # label(t12_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5837 (all A all B all C all D (-v1_finset_1(B) & v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(k7_card_fil(B),B),k1_zfmisc_1(B)) & m1_subset_1(D,k7_card_fil(B)) & v1_funct_2(C,k2_zfmisc_1(k7_card_fil(B),B),k1_zfmisc_1(B)) & -v2_card_1(B) & v1_card_1(B) -> ((exists E (m1_subset_1(E,B) & A = k2_binop_1(k7_card_fil(B),B,k1_zfmisc_1(B),C,D,E) & r2_hidden(E,B))) <-> r2_hidden(A,a_3_2_card_fil(B,C,D))))) # label(fraenkel_a_3_2_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5838 (all A (-v1_finset_1(A) & -v2_card_1(A) & v1_card_1(A) -> (all B (m1_card_fil(B,A) -> -(v3_card_fil(B,A) & r1_card_fil(A,A,B) & v1_card_fil(B,A)))))) # label(t37_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5839 (all A (-v1_finset_1(A) -> (all B (m1_card_fil(B,A) -> (v3_card_fil(B,A) & v1_card_fil(B,A) -> -v2_card_fil(B,A)))))) # label(cc1_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5840 (all A (-v1_finset_1(A) & v5_card_fil(A) & v1_card_1(A) -> v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & v1_card_1(A) & v2_card_1(A) & -v1_finset_1(A) & -v1_xboole_0(A))) # label(cc3_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5841 (all A (-v1_finset_1(A) -> m2_card_fil(k6_card_fil(A),A))) # label(dt_k6_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5842 (all A (-v1_finset_1(A) & v1_card_1(A) -> (r3_card_fil & v4_card_fil(A) -> v6_card_fil(A)))) # label(t31_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5843 (all A (v1_card_1(A) & -v1_finset_1(A) -> (v7_card_fil(A) -> v6_card_fil(A)))) # label(t41_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5844 (all A (-v1_finset_1(A) & v1_card_1(A) -> (v7_card_fil(A) -> v2_card_1(A)))) # label(t38_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5845 (all A (-v1_xboole_0(A) -> -v1_xboole_0(k1_tarski(A)) & (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (r2_hidden(C,k1_tarski(A)) & r2_hidden(B,k1_tarski(A)) -> r2_hidden(k5_subset_1(A,B,C),k1_tarski(A))) & (r1_tarski(B,C) & r2_hidden(B,k1_tarski(A)) -> r2_hidden(C,k1_tarski(A))))))) & -r2_hidden(k1_xboole_0,k1_tarski(A)) & m1_subset_1(k1_tarski(A),k1_zfmisc_1(k1_zfmisc_1(A))))) # label(t2_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5846 (all A (-v1_xboole_0(A) -> (exists B m2_card_fil(B,A)))) # label(existence_m2_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5847 (all A (-v1_finset_1(A) & v1_card_1(A) & -v2_card_1(A) -> (all B (v1_funct_2(B,k2_zfmisc_1(k7_card_fil(A),A),k1_zfmisc_1(A)) & m2_relset_1(B,k2_zfmisc_1(k7_card_fil(A),A),k1_zfmisc_1(A)) & v1_funct_1(B) -> (r4_card_fil(A,B) <-> (all C (m1_subset_1(C,k7_card_fil(A)) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (D != E -> v1_xboole_0(k5_subset_1(A,k2_binop_1(k7_card_fil(A),A,k1_zfmisc_1(A),B,C,D),k2_binop_1(k7_card_fil(A),A,k1_zfmisc_1(A),B,C,E)))))))))) & (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,k7_card_fil(A)) -> (all E (m1_subset_1(E,k7_card_fil(A)) -> (E != D -> v1_xboole_0(k5_subset_1(A,k2_binop_1(k7_card_fil(A),A,k1_zfmisc_1(A),B,D,C),k2_binop_1(k7_card_fil(A),A,k1_zfmisc_1(A),B,E,C)))))))))) & (all C (m1_subset_1(C,A) -> r1_tarski(k1_card_1(k1_card_fil(A,k3_tarski(a_3_3_card_fil(A,B,C)))),k7_card_fil(A)))) & (all C (m1_subset_1(C,k7_card_fil(A)) -> r1_tarski(k1_card_1(k1_card_fil(A,k3_tarski(a_3_2_card_fil(A,B,C)))),k7_card_fil(A))))))))) # label(d18_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5848 (all A all B k4_xboole_0(A,B) = k1_card_fil(A,B)) # label(redefinition_k1_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5849 (all A (v1_card_1(A) & -v2_card_1(A) -> v1_card_1(k7_card_fil(A)))) # label(dt_k7_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5850 (all A (v1_card_1(A) & -v1_finset_1(A) -> (v7_card_fil(A) -> v1_card_5(A)))) # label(t33_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5851 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & -v1_xboole_0(B) -> k7_setfam_1(A,B) = a_2_1_card_fil(A,B))))) # label(t9_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5852 (all A (-v1_finset_1(A) -> (all B (v3_card_fil(B,A) & m1_card_fil(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (r2_hidden(C,B) <-> -r2_hidden(C,k2_card_fil(A,B))))))))) # label(t22_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5853 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_card_fil(C,A) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> ((exists E (m1_subset_1(E,k1_zfmisc_1(A)) & r1_tarski(k5_subset_1(A,E,B),D) & r2_hidden(E,C))) <-> r2_hidden(D,k3_card_fil(A,C,B))))))))))) # label(t13_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5854 (all A (-v1_xboole_0(A) -> (all B (m1_card_fil(B,A) -> (all C (m2_card_fil(C,A) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> -(r2_hidden(D,B) & r2_hidden(D,k2_card_fil(A,B))))) & (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> -(r2_hidden(D,k7_setfam_1(A,C)) & r2_hidden(D,C)))))))))) # label(t10_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5855 (all A (-v1_finset_1(A) -> (exists B (-v2_card_fil(B,A) & v3_card_fil(B,A) & -v1_xboole_0(B) & m1_card_fil(B,A))))) # label(rc1_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5856 (all A (-v1_finset_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (r2_hidden(B,k6_card_fil(A)) <-> r2_hidden(k1_card_1(B),k1_card_1(A))))))) # label(t19_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5857 (all A (-v2_card_1(A) & v1_card_1(A) & -v1_finset_1(A) -> v1_ordinal1(k7_card_fil(A)) & v2_ordinal1(k7_card_fil(A)) & -v1_xboole_0(k7_card_fil(A)) & -v1_finset_1(k7_card_fil(A)) & v1_card_1(k7_card_fil(A)) & v3_ordinal1(k7_card_fil(A)))) # label(fc4_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5858 (all A (-v1_finset_1(A) & v1_card_1(A) -> (v5_card_fil(A) & v1_card_5(A) <-> v6_card_fil(A)))) # label(d15_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5859 (all A (v3_ordinal1(A) & v4_ordinal1(A) -> (all B (A = k7_ordinal2(B) & r1_tarski(B,A) -> k3_tarski(B) = A)))) # label(t32_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5860 (all A (-v1_finset_1(A) -> (all B (m1_card_fil(B,A) -> (r1_tarski(k5_card_fil(A),B) -> v1_card_fil(B,A)))))) # label(t20_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5861 (all A all B all C all D (m1_subset_1(D,k1_zfmisc_1(B)) & m1_card_fil(C,B) & -v1_xboole_0(B) -> ((exists E (m1_subset_1(E,k1_zfmisc_1(B)) & (exists F (m1_subset_1(F,k1_zfmisc_1(B)) & r1_tarski(F,E) & r2_hidden(F,a_3_1_card_fil(B,C,D)))) & A = E)) <-> r2_hidden(A,a_3_0_card_fil(B,C,D))))) # label(fraenkel_a_3_0_card_fil) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5862 $T # label(t1_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5863 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v2_relat_1(C) & m1_pboole(C,A) -> (all D (m3_pboole(D,A,k2_pre_circ(A,B),C) -> (all E (m1_subset_1(E,B) -> (exists F (m1_pboole(F,A) & F = k1_funct_1(k10_funct_6(D),E) & r3_pboole(A,F,C))))))))))))) # label(t10_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5864 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C (k1_relat_1(A) = k1_tarski(B) & k1_tarski(C) = k2_relat_1(A) -> k1_tarski(k4_tarski(B,C)) = A)))) # label(t2_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5865 (all A (-v1_xboole_0(A) & v1_trees_1(A) & v1_finset_1(A) -> (all B (v1_finset_1(B) & v1_trees_1(B) & -v1_xboole_0(B) -> (all C (m1_trees_1(C,A) -> k2_xboole_0(a_2_1_pre_circ(A,C),a_3_0_pre_circ(A,B,C)) = k5_trees_1(A,C,B))))))) # label(t14_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5866 (exists A ((all B (m1_subset_1(B,f1_s2_pre_circ) -> (r2_hidden(B,f1_s2_pre_circ) -> (p1_s2_pre_circ(B) -> f2_s2_pre_circ(B) = k1_funct_1(A,B)) & (-p1_s2_pre_circ(B) -> f3_s2_pre_circ(B) = k1_funct_1(A,B))))) & m1_pboole(A,f1_s2_pre_circ))) # label(s2_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5867 (all A all B (v1_finset_1(A) & v3_trees_2(A) & m1_subset_1(B,k1_relat_1(A)) & v1_funct_1(A) & v1_relat_1(A) -> v1_funct_1(k5_trees_2(A,B)) & v3_trees_2(k5_trees_2(A,B)) & v1_finset_1(k5_trees_2(A,B)) & v1_relat_1(k5_trees_2(A,B)))) # label(fc4_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5868 (all A (v1_relat_1(k1_trees_4(A)) & v1_funct_1(k1_trees_4(A)) & v3_trees_2(k1_trees_4(A)) & v1_finset_1(k1_trees_4(A)))) # label(fc6_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5869 (all A exists B (m1_pboole(B,A) & v1_pre_circ(B,A) & v1_funct_1(B) & v2_relat_1(B) & v1_relat_1(B))) # label(rc2_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5870 (all A all B m1_pboole(k2_pre_circ(A,B),A)) # label(dt_k2_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5871 (all A (-v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) -> (all B (-v1_xboole_0(B) & v1_finset_1(B) & v1_trees_1(B) -> (all C (m1_trees_1(C,A) -> k1_nat_1(k4_card_1(A),k4_card_1(B)) = k1_nat_1(k4_card_1(k5_trees_1(A,C,B)),k4_card_1(k4_trees_1(A,C))))))))) # label(t22_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5872 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_trees_3(A)) -> v1_finset_1(B))))) # label(cc1_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5873 (all A np__1 = k4_card_1(k1_trees_4(A))) # label(t24_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5874 (all A (v1_funct_1(A) & v6_trees_3(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r2_hidden(k1_nat_1(B,np__1),k4_finseq_1(A)) -> r2_hidden(k12_finseq_1(k5_numbers,B),k13_trees_3(k2_funct_6(A)))))))) # label(t17_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5875 (all A (-v1_xboole_0(A) & v2_membered(A) & v1_finset_1(A) -> v1_xreal_0(k1_pre_circ(A)))) # label(dt_k1_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5876 (all A all B (m1_pboole(B,A) -> ((all C (r2_hidden(C,A) -> v1_finset_1(k1_funct_1(B,C)))) <-> v1_pre_circ(B,A)))) # label(d3_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5877 (all A all B (m1_pboole(B,A) -> k1_funct_1(k6_pboole(A,B),k6_finseq_1(A)) = k1_tarski(k1_xboole_0))) # label(t5_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5878 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) & v2_relat_1(B) -> -v1_xboole_0(k3_tarski(k2_relat_1(B))))))) # label(t6_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5879 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B k1_tarski(k2_finseq_2(A,B)) = k4_card_3(k2_finseq_2(A,k1_tarski(B)))))) # label(t12_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5880 (all A (v1_funct_1(A) & v1_relat_1(A) -> k1_card_1(k1_relat_1(A)) = k1_card_1(A))) # label(t21_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5881 (all A all B all C all D (v1_finset_1(B) & v1_trees_1(B) & m1_trees_1(D,B) & v1_trees_1(C) & v1_finset_1(C) & -v1_xboole_0(C) & -v1_xboole_0(B) -> (r2_hidden(A,a_3_0_pre_circ(B,C,D)) <-> (exists E (m1_trees_1(E,C) & k8_finseq_1(k5_numbers,D,E) = A))))) # label(fraenkel_a_3_0_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5882 (all A (v1_funct_1(A) & v1_funct_2(A,k5_numbers,f1_s3_pre_circ) & m2_relset_1(A,k5_numbers,f1_s3_pre_circ) -> (all B (m2_relset_1(B,k5_numbers,f1_s3_pre_circ) & v1_funct_2(B,k5_numbers,f1_s3_pre_circ) & v1_funct_1(B) -> (k8_funct_2(k5_numbers,f1_s3_pre_circ,B,np__0) = f2_s3_pre_circ & (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> k8_funct_2(k5_numbers,f1_s3_pre_circ,B,k1_nat_1(C,np__1)) = f3_s3_pre_circ(C,k8_funct_2(k5_numbers,f1_s3_pre_circ,B,C)))) & (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> f3_s3_pre_circ(C,k8_funct_2(k5_numbers,f1_s3_pre_circ,A,C)) = k8_funct_2(k5_numbers,f1_s3_pre_circ,A,k1_nat_1(C,np__1)))) & k8_funct_2(k5_numbers,f1_s3_pre_circ,A,np__0) = f2_s3_pre_circ -> B = A))))) # label(s3_pre_circ_AndLHS) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5883 (exists A (v1_funct_1(A) & m2_relset_1(A,k5_numbers,f1_s3_pre_circ) & k8_funct_2(k5_numbers,f1_s3_pre_circ,A,np__0) = f2_s3_pre_circ & (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> f3_s3_pre_circ(B,k8_funct_2(k5_numbers,f1_s3_pre_circ,A,B)) = k8_funct_2(k5_numbers,f1_s3_pre_circ,A,k1_nat_1(B,np__1)))) & v1_funct_2(A,k5_numbers,f1_s3_pre_circ))) # label(s3_pre_circ_AndRHS) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5884 (all A (v2_membered(A) & v1_finset_1(A) & -v1_xboole_0(A) -> (all B (v1_xreal_0(B) -> (r2_hidden(B,A) & (all C (v1_xreal_0(C) -> (r2_hidden(C,A) -> r1_xreal_0(C,B)))) <-> B = k1_pre_circ(A)))))) # label(d1_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5885 (all A (-v1_xboole_0(A) & v1_trees_1(A) & v1_finset_1(A) -> (all B (m1_trees_1(B,A) -> r2_tarski(k4_trees_1(A,B),a_2_0_pre_circ(A,B)))))) # label(t13_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5886 (all A (-v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) -> (all B (-v1_xboole_0(B) & v1_trees_1(B) & v1_finset_1(B) -> (all C (m1_trees_1(C,A) -> (all D (m2_finseq_1(D,k5_numbers) -> -((all E (m1_trees_1(E,B) -> k8_finseq_1(k5_numbers,C,E) != D)) & r1_tarski(C,D) & r2_hidden(D,k5_trees_1(A,C,B))))))))))) # label(t15_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5887 (all A all B (v2_relat_1(B) & m1_pboole(B,A) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (m1_subset_1(D,k4_card_3(B)) -> ((all E (r2_hidden(E,k1_relat_1(C)) -> r2_hidden(k1_funct_1(C,E),k1_funct_1(B,E)))) & r1_tarski(k1_relat_1(C),k1_relat_1(B)) -> m1_subset_1(k1_funct_4(D,C),k4_card_3(B))))))))) # label(t9_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5888 (exists A (v2_membered(A) & v4_membered(A) & v5_membered(A) & v3_membered(A) & v1_membered(A) & v1_finset_1(A) & -v1_xboole_0(A))) # label(rc1_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5889 (all A all B all C (v1_finset_1(B) & m1_trees_1(C,B) & v1_trees_1(B) & -v1_xboole_0(B) -> (r2_hidden(A,a_2_0_pre_circ(B,C)) <-> (exists D (m1_trees_1(D,B) & D = A & r1_tarski(C,D)))))) # label(fraenkel_a_2_0_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5890 (all A all B (v2_relat_1(A) & v1_funct_1(A) & v1_relat_1(A) -> v1_funct_1(k7_relat_1(A,B)) & v2_relat_1(k7_relat_1(A,B)) & v1_relat_1(k7_relat_1(A,B)))) # label(fc2_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5891 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v4_trees_3(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r2_hidden(k1_nat_1(B,np__1),k4_finseq_1(A)) -> k1_funct_1(A,k1_nat_1(B,np__1)) = k4_trees_1(k13_trees_3(A),k12_finseq_1(k5_numbers,B))))))) # label(t16_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5892 (all A (r2_hidden(A,a_0_0_pre_circ) <-> (exists B (A = f2_s1_pre_circ(B) & p1_s1_pre_circ(B) & m1_subset_1(B,f1_s1_pre_circ))))) # label(fraenkel_a_0_0_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5893 (all A all B (m1_pboole(B,A) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (r2_hidden(C,k4_card_3(B)) -> r2_hidden(k5_relat_1(D,C),k4_card_3(k5_relat_1(D,B)))))))))) # label(t11_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5894 (all A all B (v1_relat_1(A) & v1_funct_1(A) & v1_funct_1(B) & v1_relat_1(B) & v2_relat_1(A) -> v1_relat_1(k5_relat_1(B,A)) & v2_relat_1(k5_relat_1(B,A)) & v1_funct_1(k5_relat_1(B,A)))) # label(fc3_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5895 (all A k4_funct_5(k2_pre_circ(A,k1_xboole_0)) = k1_xboole_0) # label(t7_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5896 (all A (m1_subset_1(A,f1_s4_pre_circ) -> (r2_hidden(A,f2_s4_pre_circ) -> v1_funct_1(f5_s4_pre_circ(A)) & v1_funct_2(f5_s4_pre_circ(A),k1_funct_1(f3_s4_pre_circ,A),k1_funct_1(f4_s4_pre_circ,A)) & m2_relset_1(f5_s4_pre_circ(A),k1_funct_1(f3_s4_pre_circ,A),k1_funct_1(f4_s4_pre_circ,A))))) -> (exists A ((all B (m1_subset_1(B,f1_s4_pre_circ) -> (r2_hidden(B,f2_s4_pre_circ) -> f5_s4_pre_circ(B) = k1_funct_1(A,B)))) & m3_pboole(A,f2_s4_pre_circ,f3_s4_pre_circ,f4_s4_pre_circ))) # label(s4_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5897 (all A (v1_relat_1(A) & v1_funct_1(A) & v4_trees_3(A) & v1_finseq_1(A) -> (all B (v1_funct_1(B) & v1_finseq_1(B) & v4_trees_3(B) & v1_relat_1(B) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (r2_hidden(k1_nat_1(C,np__1),k4_finseq_1(A)) & (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r2_hidden(D,k4_finseq_1(A)) -> k1_funct_1(A,D) = k1_funct_1(B,D) | D = k1_nat_1(C,np__1)))) & k3_finseq_1(B) = k3_finseq_1(A) -> (all D (v1_trees_1(D) & -v1_xboole_0(D) -> (D = k1_funct_1(B,k1_nat_1(C,np__1)) -> k5_trees_1(k13_trees_3(A),k12_finseq_1(k5_numbers,C),D) = k13_trees_3(B))))))))))) # label(t18_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5898 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(A)) & m1_pboole(B,A) -> k3_pre_circ(A,B,C) = k7_relat_1(B,C))) # label(redefinition_k3_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5899 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(A,B) & r1_xboole_0(k1_relat_1(A),k1_relat_1(C)) -> r1_tarski(A,k1_funct_4(B,C))))))))) # label(t4_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5900 (all A (-v1_xboole_0(A) & v1_finset_1(A) & v5_membered(A) -> v4_ordinal2(k2_seq_4(A)) & v1_xcmplx_0(k2_seq_4(A)) & v1_xreal_0(k2_seq_4(A)))) # label(fc1_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5901 (all A all B k2_funcop_1(A,B) = k2_pre_circ(A,B)) # label(redefinition_k2_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5902 (all A (v3_trees_2(A) & v1_finset_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_finset_1(B) & v3_trees_2(B) & v1_relat_1(B) -> (all C (m1_trees_1(C,k1_relat_1(A)) -> k1_nat_1(k4_card_1(A),k4_card_1(B)) = k1_nat_1(k4_card_1(k8_trees_2(A,C,B)),k4_card_1(k5_trees_2(A,C))))))))) # label(t23_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5903 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(A,B) -> r1_tarski(k1_funct_4(A,C),k1_funct_4(B,C))))))))) # label(t3_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5904 (all A (v1_funct_1(A) & v3_trees_2(A) & v1_finset_1(A) & v1_relat_1(A) -> (all B (v3_trees_2(B) & v1_finset_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (all E (v1_relat_1(E) & v6_trees_3(E) & v1_finseq_1(E) & v1_funct_1(E) -> -((all F (v1_funct_1(F) & v6_trees_3(F) & v1_finseq_1(F) & v1_relat_1(F) -> -(k8_trees_2(A,k12_finseq_1(k5_numbers,D),B) = k4_trees_4(C,F) & k3_finseq_1(E) = k3_finseq_1(F) & k1_funct_1(F,k1_nat_1(D,np__1)) = B & (all G (m2_subset_1(G,k1_numbers,k5_numbers) -> (r2_hidden(G,k4_finseq_1(E)) -> k1_funct_1(E,G) = k1_funct_1(F,G) | G = k1_nat_1(D,np__1))))))) & k4_trees_4(C,E) = A & r2_hidden(k12_finseq_1(k5_numbers,D),k1_relat_1(A))))))))))) # label(t19_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5905 (all A (v1_trees_1(A) & v1_finset_1(A) & -v1_xboole_0(A) -> (all B (m1_trees_1(B,A) -> -(k1_xboole_0 != B & r1_xreal_0(k4_card_1(A),k4_card_1(k4_trees_1(A,B)))))))) # label(t20_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5906 (all A (v2_membered(A) & v1_finset_1(A) & -v1_xboole_0(A) -> k1_pre_circ(A) = k2_seq_4(A))) # label(redefinition_k1_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5907 (all A (-v1_xboole_0(A) -> (all B all C (m1_pboole(C,A) & v2_relat_1(C) -> (all D (m3_pboole(D,A,k2_pre_circ(A,B),C) -> k1_relat_1(k10_funct_6(D)) = B)))))) # label(t8_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5908 (all A all B all C (m1_pboole(B,A) & m1_subset_1(C,k1_zfmisc_1(A)) -> m1_pboole(k3_pre_circ(A,B,C),C))) # label(dt_k3_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5909 (all A all B all C (-v1_xboole_0(B) & m1_trees_1(C,B) & v1_trees_1(B) & v1_finset_1(B) -> (r2_hidden(A,a_2_1_pre_circ(B,C)) <-> (exists D (m1_trees_1(D,B) & -r1_tarski(C,D) & A = D))))) # label(fraenkel_a_2_1_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5910 $T # label(d2_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5911 (all A all B all C (v3_trees_2(A) & m1_subset_1(B,k1_relat_1(A)) & v1_funct_1(C) & v1_finset_1(C) & v3_trees_2(C) & v1_relat_1(C) & v1_finset_1(A) & v1_funct_1(A) & v1_relat_1(A) -> v1_relat_1(k8_trees_2(A,B,C)) & v1_finset_1(k8_trees_2(A,B,C)) & v3_trees_2(k8_trees_2(A,B,C)) & v1_funct_1(k8_trees_2(A,B,C)))) # label(fc5_pre_circ) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5912 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> ((all D (r2_hidden(D,A) -> k1_zfmisc_1(k1_funct_1(B,D)) = k1_funct_1(C,D))) <-> k1_mboolean(A,B) = C))))) # label(d1_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5913 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,B,k4_pboole(A,C,D)) <-> r2_pboole(A,B,C) & r5_pboole(A,B,D)))))))) # label(t11_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5914 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r2_pboole(A,k2_mboolean(A,k3_pboole(A,B,C)),k3_pboole(A,k2_mboolean(A,B),k2_mboolean(A,C))))))) # label(t29_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5915 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,k2_mboolean(A,B),C) & r1_pboole(A,D,B) -> r2_pboole(A,D,C)))))))) # label(t32_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5916 $T # label(t14_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5917 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (v2_relat_1(D) & m1_pboole(D,A) -> (r2_pboole(A,C,k2_mboolean(A,k2_pboole(A,B,D))) & (all E (m1_pboole(E,A) -> (r1_pboole(A,E,D) -> r6_pboole(A,k3_pboole(A,E,C),k1_pboole(A))))) -> r2_pboole(A,C,k2_mboolean(A,B))))))))) # label(t36_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5918 (all A all B r6_pboole(A,k2_mboolean(A,k2_pre_circ(A,k1_tarski(B))),k2_pre_circ(A,B))) # label(t24_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5919 (all A all B (m1_pboole(B,A) -> v1_relat_1(k1_mboolean(A,B)) & v1_funct_1(k1_mboolean(A,B)) & v2_relat_1(k1_mboolean(A,B)))) # label(fc1_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5920 (all A all B (m1_pboole(B,A) -> m1_pboole(k2_mboolean(A,B),A))) # label(dt_k2_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5921 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> ((all D (m1_pboole(D,A) -> (all E (m1_pboole(E,A) -> (r1_pboole(A,E,k2_pboole(A,B,C)) & r1_pboole(A,D,k2_pboole(A,B,C)) -> D = E | r6_pboole(A,k3_pboole(A,D,E),k1_pboole(A))))))) & v2_relat_1(k2_pboole(A,B,C)) -> r6_pboole(A,k2_mboolean(A,k3_pboole(A,B,C)),k3_pboole(A,k2_mboolean(A,B),k2_mboolean(A,C)))))))) # label(t35_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5922 (all A all B r6_pboole(A,k2_mboolean(A,k2_pre_circ(A,B)),k2_pre_circ(A,k3_tarski(B)))) # label(t23_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5923 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k1_mboolean(A,k3_pboole(A,B,C)),k3_pboole(A,k1_mboolean(A,B),k1_mboolean(A,C))))))) # label(t9_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5924 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r2_pboole(A,k1_mboolean(A,k4_pboole(A,B,C)),k2_pboole(A,k2_pre_circ(A,k1_tarski(k1_xboole_0)),k4_pboole(A,k1_mboolean(A,B),k1_mboolean(A,C)))))))) # label(t10_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5925 (all A all B r6_pboole(A,k1_mboolean(A,k2_pre_circ(A,B)),k2_pre_circ(A,k1_zfmisc_1(B)))) # label(t3_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5926 (all A all B r6_pboole(A,k1_mboolean(A,k2_pre_circ(A,k1_tarski(B))),k2_pre_circ(A,k2_tarski(k1_xboole_0,k1_tarski(B))))) # label(t4_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5927 (all A all B (m1_pboole(B,A) -> (all C (v2_relat_1(C) & m1_pboole(C,A) -> ((all D (m1_pboole(D,A) -> (r1_pboole(A,D,C) -> r2_pboole(A,D,B)))) -> r2_pboole(A,k2_mboolean(A,C),B)))))) # label(t33_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5928 (all A all B all C r6_pboole(A,k2_mboolean(A,k2_pre_circ(A,k2_tarski(k1_tarski(B),k1_tarski(C)))),k2_pre_circ(A,k2_tarski(B,C)))) # label(t25_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5929 (all A (v3_relat_1(k2_mboolean(A,k1_pboole(A))) & v1_funct_1(k2_mboolean(A,k1_pboole(A))) & v1_relat_1(k2_mboolean(A,k1_pboole(A))))) # label(fc2_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5930 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> ((all D (r2_hidden(D,A) -> k3_tarski(k1_funct_1(B,D)) = k1_funct_1(C,D))) <-> k2_mboolean(A,B) = C))))) # label(d2_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5931 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r1_pboole(A,B,C) -> r2_pboole(A,B,k2_mboolean(A,C))))))) # label(t26_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5932 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k2_mboolean(A,k2_pboole(A,B,C)),k2_pboole(A,k2_mboolean(A,B),k2_mboolean(A,C))))))) # label(t28_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5933 (all A all B (m1_pboole(B,A) -> r2_pboole(A,B,k1_mboolean(A,k2_mboolean(A,B))))) # label(t31_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5934 (all A all B (m1_pboole(B,A) -> m1_pboole(k1_mboolean(A,B),A))) # label(dt_k1_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5935 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r6_pboole(A,k2_pboole(A,k1_mboolean(A,B),k1_mboolean(A,C)),k1_mboolean(A,k2_pboole(A,B,C))) -> (all D (r2_hidden(D,A) -> r3_xboole_0(k1_funct_1(B,D),k1_funct_1(C,D))))))))) # label(t8_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5936 (all A r6_pboole(A,k2_mboolean(A,k1_pboole(A)),k1_pboole(A))) # label(t22_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5937 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r1_pboole(A,B,k1_mboolean(A,C)) <-> r2_pboole(A,B,C)))))) # label(t19_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5938 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r2_pboole(A,B,C) -> r2_pboole(A,k1_mboolean(A,B),k1_mboolean(A,C))))))) # label(t6_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5939 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,D,C) | r2_pboole(A,B,C) -> r2_pboole(A,k3_pboole(A,B,D),C)))))))) # label(t15_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5940 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,B,k5_pboole(A,C,D)) <-> r5_pboole(A,B,k3_pboole(A,C,D)) & r2_pboole(A,B,k2_pboole(A,C,D))))))))) # label(t13_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5941 (all A r6_pboole(A,k1_mboolean(A,k1_pboole(A)),k2_pre_circ(A,k1_tarski(k1_xboole_0)))) # label(t2_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5942 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r6_pboole(A,B,k1_mboolean(A,C)) <-> (all D (m1_pboole(D,A) -> (r1_pboole(A,D,B) <-> r2_pboole(A,D,C))))))))) # label(t1_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5943 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) & v2_relat_1(C) -> ((all D (m1_pboole(D,A) -> (r1_pboole(A,D,C) -> r6_pboole(A,k3_pboole(A,D,B),k1_pboole(A))))) -> r6_pboole(A,k3_pboole(A,k2_mboolean(A,C),B),k1_pboole(A))))))) # label(t34_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5944 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r2_pboole(A,k2_pboole(A,k1_mboolean(A,B),k1_mboolean(A,C)),k1_mboolean(A,k2_pboole(A,B,C))))))) # label(t7_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5945 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,D,C) & r2_pboole(A,B,C) -> r2_pboole(A,k5_pboole(A,B,D),C)))))))) # label(t17_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5946 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r2_pboole(A,k11_pboole(A,B,C),k1_mboolean(A,k1_mboolean(A,k2_pboole(A,B,C)))))))) # label(t18_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5947 (all A all B (v2_relat_1(B) & v1_pre_circ(B,A) & m1_pboole(B,A) -> ((all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> -(r1_pboole(A,D,B) & -r2_pboole(A,C,D) & -r2_pboole(A,D,C) & r1_pboole(A,C,B)))))) -> r1_pboole(A,k2_mboolean(A,B),B)))) # label(t37_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5948 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> ((exists D (r1_pboole(A,D,C) & r1_pboole(A,B,D) & m1_pboole(D,A))) <-> r1_pboole(A,B,k2_mboolean(A,C))))))) # label(t21_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5949 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,B,C) -> r2_pboole(A,k4_pboole(A,B,D),C)))))))) # label(t16_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5950 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r2_pboole(A,B,C) -> r2_pboole(A,k2_mboolean(A,B),k2_mboolean(A,C))))))) # label(t27_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5951 (all A all B (m1_pboole(B,A) -> r2_pboole(A,k1_pboole(A),B))) # label(t5_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5952 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r2_pboole(A,k12_pboole(A,B,C),k1_mboolean(A,k11_pboole(A,B,C))))))) # label(t20_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5953 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r2_pboole(A,k2_pboole(A,k1_mboolean(A,k4_pboole(A,B,C)),k1_mboolean(A,k4_pboole(A,C,B))),k1_mboolean(A,k5_pboole(A,B,C))))))) # label(t12_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5954 (all A all B (m1_pboole(B,A) -> r6_pboole(A,k2_mboolean(A,k1_mboolean(A,B)),B))) # label(t30_mboolean) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5955 (all A all B all C (m1_pboole(C,B) -> (all D (m4_pboole(D,B,k1_mboolean(B,C)) -> (r2_hidden(A,B) -> m1_subset_1(k1_funct_1(D,A),k1_zfmisc_1(k1_zfmisc_1(k1_funct_1(C,A))))))))) # label(t32_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5956 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (all E (m4_pboole(E,A,k1_mboolean(A,B)) -> (r2_pboole(A,C,D) & r1_pboole(A,C,E) -> r2_pboole(A,k6_mssubfam(A,B,E),D)))))))))) # label(t47_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5957 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (all D (m4_pboole(D,A,k1_mboolean(A,B)) -> m4_pboole(k3_pboole(A,C,D),A,k1_mboolean(A,B)))))))) # label(t35_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5958 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (all D (m4_pboole(D,A,k1_mboolean(A,B)) -> (all E (m4_pboole(E,A,k1_mboolean(A,B)) -> (r6_pboole(A,C,k2_pboole(A,D,E)) -> r6_pboole(A,k6_mssubfam(A,B,C),k3_pboole(A,k6_mssubfam(A,B,D),k6_mssubfam(A,B,E)))))))))))) # label(t49_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5959 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (B != k1_xboole_0 -> r1_tarski(k8_setfam_1(A,B),k5_setfam_1(A,B))))) # label(t1_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5960 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (all E (m4_pboole(E,A,k1_mboolean(A,B)) -> (r6_pboole(A,k3_pboole(A,C,D),k1_pboole(A)) & r1_pboole(A,C,E) -> r6_pboole(A,k3_pboole(A,k6_mssubfam(A,B,E),D),k1_pboole(A))))))))))) # label(t48_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5961 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (v2_relat_1(D) & m4_pboole(D,A,k1_mboolean(A,C)) -> ((all E (m1_pboole(E,A) -> (r1_pboole(A,E,D) -> r2_pboole(A,B,E)))) -> r2_pboole(A,B,k6_mssubfam(A,C,D))))))))) # label(t45_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5962 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (B = k2_tarski(C,D) -> k8_setfam_1(A,B) = k5_subset_1(A,C,D)))))))) # label(t10_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5963 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) -> (r2_hidden(B,C) -> r1_tarski(k8_setfam_1(A,C),B)))) # label(t2_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5964 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (v5_mssubfam(C,A,B) <-> r1_pboole(A,B,C)))))) # label(d7_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5965 (all A all B (v1_funcop_1(B) & m1_pboole(B,A) -> k1_mssubfam(A,B) = k2_funct_6(B))) # label(redefinition_k1_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5966 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> ((all D (m1_pboole(D,A) -> (all E (m1_pboole(E,A) -> (r1_pboole(A,D,C) & r1_pboole(A,E,C) -> r1_pboole(A,k3_pboole(A,D,E),C)))))) <-> v3_mssubfam(C,A,B)))))) # label(d5_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5967 (all A all B (m1_pboole(B,A) & v1_funcop_1(B) -> m1_pboole(k2_mssubfam(A,B),A))) # label(dt_k2_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5968 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (B = k1_tarski(C) -> k8_setfam_1(A,B) = C))))) # label(t9_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5969 (all A all B (m1_pboole(B,A) -> v2_mssubfam(k7_mssubfam(A,B),A,B) & v5_mssubfam(k7_mssubfam(A,B),A,B) & v6_mssubfam(k7_mssubfam(A,B),A,B) & m4_pboole(k7_mssubfam(A,B),A,k1_mboolean(A,B)) & v4_mssubfam(k7_mssubfam(A,B),A,B) & v3_mssubfam(k7_mssubfam(A,B),A,B) & v1_mssubfam(k7_mssubfam(A,B),A,B))) # label(dt_k7_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5970 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (v5_mssubfam(C,A,B) -> v2_relat_1(C)))))) # label(cc6_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5971 (all A all B all C (m4_pboole(C,A,k1_mboolean(A,B)) & m1_pboole(B,A) -> m4_pboole(k6_mssubfam(A,B,C),A,B))) # label(dt_k6_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5972 (all A all B all C (v1_pre_circ(B,A) & m1_pboole(B,A) & v1_pre_circ(C,A) & m1_pboole(C,A) -> v1_funct_1(k5_pboole(A,B,C)) & v1_pre_circ(k5_pboole(A,B,C),A) & v1_relat_1(k5_pboole(A,B,C)))) # label(fc10_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5973 (all A all B all C (v1_pre_circ(B,A) & v1_pre_circ(C,A) & m1_pboole(C,A) & m1_pboole(B,A) -> v1_pre_circ(k12_pboole(A,B,C),A) & v1_funct_1(k12_pboole(A,B,C)) & v1_relat_1(k12_pboole(A,B,C)))) # label(fc9_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5974 (all A all B all C (m1_pboole(B,A) & v1_pre_circ(C,A) & m1_pboole(C,A) -> v1_relat_1(k4_pboole(A,C,B)) & v1_pre_circ(k4_pboole(A,C,B),A) & v1_funct_1(k4_pboole(A,C,B)))) # label(fc5_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.58	5975 (all A all B (v1_funcop_1(B) & m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> -(r2_pboole(A,C,k2_mssubfam(A,B)) & (all D (m1_pboole(D,A) -> -(r2_pboole(A,D,k1_mssubfam(A,B)) & v1_pre_circ(D,A) & r6_pboole(A,k14_pboole(A,D,B),C)))) & v1_pre_circ(C,A)))))) # label(t30_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	5976 (all A all B (m1_pboole(B,A) & v1_funcop_1(B) -> m1_pboole(k1_mssubfam(A,B),A))) # label(dt_k1_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	5977 (all A all B all C (m1_pboole(C,B) & v1_funcop_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (k1_funct_1(C,A) = D & r2_hidden(A,B) -> k1_funct_1(k1_mssubfam(B,C),A) = k1_relat_1(D)))))) # label(t14_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	5978 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) & v2_relat_1(C) -> r2_pboole(A,k6_mssubfam(A,B,C),k2_mboolean(A,C)))))) # label(t42_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	5979 (all A all B (m1_pboole(B,A) -> k1_mboolean(A,B) = k7_mssubfam(A,B))) # label(redefinition_k7_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	5980 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> ((all D (r2_hidden(D,B) -> r1_tarski(C,D))) -> r1_tarski(C,k8_setfam_1(A,B))))))) # label(t4_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	5981 (all A all B all C (v1_funcop_1(B) & v1_pre_circ(C,A) & m1_pboole(C,A) & m1_pboole(B,A) -> v1_funct_1(k14_pboole(A,C,B)) & v1_pre_circ(k14_pboole(A,C,B),A) & v1_relat_1(k14_pboole(A,C,B)))) # label(fc6_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	5982 $T # label(d1_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	5983 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (v1_pre_circ(k11_pboole(A,C,B),A) & v2_relat_1(B) -> v1_pre_circ(C,A)))))) # label(t19_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	5984 (all A all B (m1_pboole(B,A) & v2_relat_1(B) -> (all C (m3_pboole(C,A,B,k1_pboole(A)) -> r6_pboole(A,C,k1_pboole(A)))))) # label(t16_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	5985 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r2_pboole(A,B,C) -> m4_pboole(k1_pzfmisc1(A,B),A,k1_mboolean(A,C))))))) # label(t38_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	5986 (all A (v3_relat_1(k1_pboole(A)) & v1_pre_circ(k1_pboole(A),A) & v1_funct_1(k1_pboole(A)) & v1_relat_1(k1_pboole(A)))) # label(fc1_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	5987 (all A all B (m1_pboole(B,A) -> (exists C (m4_pboole(C,A,k1_mboolean(A,B)) & v1_mssubfam(C,A,B) & v2_mssubfam(C,A,B) & v4_mssubfam(C,A,B) & v6_mssubfam(C,A,B) & v5_mssubfam(C,A,B) & v3_mssubfam(C,A,B) & v1_funct_1(C) & v2_relat_1(C) & v1_relat_1(C))))) # label(rc5_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	5988 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (all D (m4_pboole(D,A,k1_mboolean(A,B)) -> m4_pboole(k2_pboole(A,C,D),A,k1_mboolean(A,B)))))))) # label(t34_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	5989 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) & v1_pre_circ(C,A) -> v1_relat_1(k3_pboole(A,C,B)) & v1_pre_circ(k3_pboole(A,C,B),A) & v1_funct_1(k3_pboole(A,C,B)))) # label(fc4_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	5990 (all A all B (m1_pboole(B,A) -> k3_mssubfam(A,B) = k1_mboolean(A,B))) # label(redefinition_k3_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	5991 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (v4_mssubfam(C,A,B) -> v5_mssubfam(C,A,B)))))) # label(cc5_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	5992 (all A all B all C (m1_pboole(B,A) & m4_pboole(C,A,k1_mboolean(A,B)) -> k6_mssubfam(A,B,C) = k5_mssubfam(A,B,C))) # label(redefinition_k6_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	5993 (all A (r2_hidden(A,f1_s1_mssubfam) -> (all B -((all C -(p1_s1_mssubfam(C,B,A) & r2_hidden(C,k1_funct_1(f3_s1_mssubfam,A)))) & r2_hidden(B,k1_funct_1(f2_s1_mssubfam,A)))))) -> (exists A (m3_pboole(A,f1_s1_mssubfam,f2_s1_mssubfam,f3_s1_mssubfam) & (all B -((all C (m2_relset_1(C,k1_funct_1(f2_s1_mssubfam,B),k1_funct_1(f3_s1_mssubfam,B)) & v1_funct_2(C,k1_funct_1(f2_s1_mssubfam,B),k1_funct_1(f3_s1_mssubfam,B)) & v1_funct_1(C) -> -(C = k1_funct_1(A,B) & (all D (r2_hidden(D,k1_funct_1(f2_s1_mssubfam,B)) -> p1_s1_mssubfam(k1_funct_1(C,D),D,B)))))) & r2_hidden(B,f1_s1_mssubfam))))) # label(s1_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	5994 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (all D (m4_pboole(D,A,B) -> (r6_pboole(A,C,k1_pzfmisc1(A,D)) -> r6_pboole(A,k6_mssubfam(A,B,C),D)))))))) # label(t50_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	5995 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (v2_relat_1(B) & v1_pre_circ(k11_pboole(A,B,C),A) -> v1_pre_circ(C,A)))))) # label(t20_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	5996 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> ((all D (m4_pboole(D,A,k1_mboolean(A,B)) -> (r2_pboole(A,D,C) -> r1_pboole(A,k2_mboolean(A,D),C)))) <-> v2_mssubfam(C,A,B)))))) # label(d4_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	5997 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (all D (m4_pboole(D,A,B) -> (all E (m4_pboole(E,A,B) -> (r6_pboole(A,C,k2_pzfmisc1(A,D,E)) -> r6_pboole(A,k6_mssubfam(A,B,C),k3_pboole(A,D,E))))))))))) # label(t51_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	5998 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) -> (B = k4_subset_1(k1_zfmisc_1(A),C,D) -> k5_subset_1(A,k8_setfam_1(A,C),k8_setfam_1(A,D)) = k8_setfam_1(A,B)))))))) # label(t8_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	5999 (all A all B all C (m1_pboole(B,A) & m4_pboole(C,A,k1_mboolean(A,B)) -> m1_pboole(k5_mssubfam(A,B,C),A))) # label(dt_k5_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6000 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m4_pboole(D,A,k1_mboolean(A,C)) -> (r1_pboole(A,B,D) -> m4_pboole(B,A,C)))))))) # label(t33_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6001 (all A all B all C all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) -> (r1_xboole_0(B,C) & r2_hidden(B,D) -> r1_xboole_0(k8_setfam_1(A,D),C)))) # label(t7_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6002 (all A all B all C (v1_pre_circ(B,A) & m1_pboole(B,A) & v1_pre_circ(C,A) & m1_pboole(C,A) -> v1_pre_circ(k2_pboole(A,B,C),A) & v1_funct_1(k2_pboole(A,B,C)) & v1_relat_1(k2_pboole(A,B,C)))) # label(fc2_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6003 (all A all B (m1_pboole(B,A) & v2_relat_1(B) -> ((all C (m1_pboole(C,A) -> (r1_pboole(A,C,B) -> v1_pre_circ(C,A)))) & v1_pre_circ(B,A) -> v1_pre_circ(k2_mboolean(A,B),A)))) # label(t22_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6004 (all A all B (m1_pboole(B,A) & v1_pre_circ(B,A) -> v1_relat_1(k1_mboolean(A,B)) & v2_relat_1(k1_mboolean(A,B)) & v1_funct_1(k1_mboolean(A,B)) & v1_pre_circ(k1_mboolean(A,B),A))) # label(fc8_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6005 (all A all B (v1_pre_circ(B,A) & m1_pboole(B,A) -> (exists C (v1_relat_1(C) & v1_funct_1(C) & v1_pre_circ(C,A) & v2_relat_1(C) & m4_pboole(C,A,k1_mboolean(A,B)))))) # label(rc4_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6006 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (v4_mssubfam(C,A,B) <-> (all D (m4_pboole(D,A,k1_mboolean(A,B)) -> (r2_pboole(A,D,C) -> r1_pboole(A,k6_mssubfam(A,B,D),C))))))))) # label(d6_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6007 (all A all B (v2_relat_1(B) & v1_pre_circ(B,A) & m1_pboole(B,A) -> -((all C (m1_pboole(C,A) -> -(r1_pboole(A,C,B) & (all D (m1_pboole(D,A) -> (r1_pboole(A,D,B) -> r2_pboole(A,C,D))))))) & (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> -(r1_pboole(A,D,B) & -r2_pboole(A,C,D) & -r2_pboole(A,D,C) & r1_pboole(A,C,B))))))))) # label(t28_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6008 (all A all B (v1_pre_circ(B,A) & m1_pboole(B,A) -> (all C (m4_pboole(C,A,B) -> v1_pre_circ(C,A))))) # label(cc2_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6009 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m4_pboole(D,A,k1_mboolean(A,B)) -> (r1_pboole(A,C,D) -> r2_pboole(A,k6_mssubfam(A,B,D),C)))))))) # label(t43_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6010 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (v2_mssubfam(C,A,B) -> v1_mssubfam(C,A,B)))))) # label(cc3_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6011 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> r2_pboole(A,k2_mboolean(A,C),B))))) # label(t40_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6012 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m4_pboole(D,A,k1_mboolean(A,C)) & v2_relat_1(D) -> (r1_pboole(A,B,C) & (all E (m1_pboole(E,A) -> (r1_pboole(A,E,D) -> r1_pboole(A,B,E)))) -> r1_pboole(A,B,k6_mssubfam(A,C,D))))))))) # label(t53_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6013 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (v6_mssubfam(C,A,B) <-> r1_pboole(A,k1_pboole(A),C)))))) # label(d8_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6014 (all A all B (v1_funcop_1(B) & m1_pboole(B,A) -> (v1_pre_circ(k1_mssubfam(A,B),A) -> v1_pre_circ(k2_mssubfam(A,B),A)))) # label(t24_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6015 (all A all B (v1_funcop_1(B) & m1_pboole(B,A) -> k3_funct_6(B) = k2_mssubfam(A,B))) # label(redefinition_k2_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6016 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> -(v1_pre_circ(B,A) & v1_pre_circ(C,A) & (all E (m1_pboole(E,A) -> -(v1_pre_circ(E,A) & r2_pboole(A,B,k11_pboole(A,E,C)) & r2_pboole(A,E,D)))) & r2_pboole(A,B,k11_pboole(A,D,C))))))))) # label(t27_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6017 (all A all B (m1_pboole(B,A) -> m4_pboole(k3_mssubfam(A,B),A,k1_mboolean(A,B)))) # label(dt_k3_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6018 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (all D (m4_pboole(D,A,k1_mboolean(A,B)) -> m4_pboole(k5_pboole(A,C,D),A,k1_mboolean(A,B)))))))) # label(t37_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6019 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (r6_pboole(A,C,k1_pboole(A)) -> r6_pboole(A,k6_mssubfam(A,B,C),B)))))) # label(t41_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6020 (all A all B all C (m1_pboole(C,B) & v1_funcop_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (k1_funct_1(C,A) = D & r2_hidden(A,B) -> k1_funct_1(k2_mssubfam(B,C),A) = k2_relat_1(D)))))) # label(t13_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6021 (all A all B all C (v1_pre_circ(C,A) & m1_pboole(C,A) & m1_pboole(B,A) -> v1_pre_circ(k3_pboole(A,B,C),A) & v1_funct_1(k3_pboole(A,B,C)) & v1_relat_1(k3_pboole(A,B,C)))) # label(fc3_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6022 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (r1_pboole(A,k1_pboole(A),C) -> r6_pboole(A,k6_mssubfam(A,B,C),k1_pboole(A))))))) # label(t44_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6023 (all A all B (m1_pboole(B,A) -> (v3_relat_1(B) -> v1_pre_circ(B,A)))) # label(cc1_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6024 (all A all B (m1_pboole(B,A) -> (v1_pre_circ(k2_mboolean(A,B),A) -> v1_pre_circ(B,A) & (all C (m1_pboole(C,A) -> (r1_pboole(A,C,B) -> v1_pre_circ(C,A))))))) # label(t23_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6025 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> -((all E (m1_pboole(E,A) -> (all F (m1_pboole(F,A) -> -(v1_pre_circ(F,A) & r2_pboole(A,F,D) & r2_pboole(A,B,k11_pboole(A,E,F)) & r2_pboole(A,E,C) & v1_pre_circ(E,A)))))) & r2_pboole(A,B,k11_pboole(A,C,D)) & v1_pre_circ(B,A)))))))) # label(t26_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6026 (all A all B (m1_pboole(B,A) -> v1_pre_circ(k1_pboole(A),A) & m4_pboole(k1_pboole(A),A,k1_mboolean(A,B)) & v3_relat_1(k1_pboole(A)))) # label(t31_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6027 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (v2_mssubfam(C,A,B) -> v6_mssubfam(C,A,B)))))) # label(cc7_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6028 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (r2_hidden(k1_xboole_0,B) -> k8_setfam_1(A,B) = k1_xboole_0))) # label(t3_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6029 (all A all B all C all D (m1_pboole(B,A) & m4_pboole(C,A,k1_mboolean(A,B)) & m1_subset_1(D,A) & -v1_xboole_0(A) -> k1_funct_1(C,D) = k4_mssubfam(A,B,C,D))) # label(redefinition_k4_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6030 (all A all B (m1_pboole(B,A) -> (exists C (v1_relat_1(C) & v1_pre_circ(C,A) & v1_funct_1(C) & v3_relat_1(C) & m4_pboole(C,A,B))))) # label(rc1_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6031 (all A all B (m1_pboole(B,A) -> (exists C (m4_pboole(C,A,k1_mboolean(A,B)) & v2_relat_1(C) & v1_funct_1(C) & v1_relat_1(C))))) # label(rc2_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6032 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) -> ((all D (r2_hidden(D,C) -> r1_tarski(B,D))) -> r1_tarski(B,k8_setfam_1(A,C)) | k1_xboole_0 = C))) # label(t5_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6033 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (all D (m1_pboole(D,A) -> ((all E -(r2_hidden(E,A) & (all F (m1_subset_1(F,k1_zfmisc_1(k1_zfmisc_1(k1_funct_1(B,E)))) -> -(F = k1_funct_1(C,E) & k1_funct_1(D,E) = k8_setfam_1(k1_funct_1(B,E),F)))))) <-> D = k5_mssubfam(A,B,C)))))))) # label(d2_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6034 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m4_pboole(D,A,k1_mboolean(A,B)) -> (r1_pboole(A,C,k6_mssubfam(A,B,D)) -> (all E (m1_pboole(E,A) -> (r1_pboole(A,E,D) -> r1_pboole(A,C,E))))))))))) # label(t52_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6035 (all A all B all C all D (m1_pboole(B,A) & m4_pboole(C,A,k1_mboolean(A,B)) & m1_subset_1(D,A) & -v1_xboole_0(A) -> m1_subset_1(k4_mssubfam(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(k1_funct_1(B,D)))))) # label(dt_k4_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6036 (all A all B all C (m1_pboole(C,A) & v1_pre_circ(C,A) & m1_pboole(B,A) & v1_pre_circ(B,A) -> v1_funct_1(k11_pboole(A,B,C)) & v1_pre_circ(k11_pboole(A,B,C),A) & v1_relat_1(k11_pboole(A,B,C)))) # label(fc7_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6037 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r1_pboole(A,B,C) -> m2_pboole(B,A,C)))))) # label(t11_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6038 (all A all B (m1_pboole(B,A) -> (all C (v2_relat_1(C) & m1_pboole(C,A) -> (m2_pboole(B,A,C) -> r1_pboole(A,B,C)))))) # label(t12_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6039 (all A all B all C all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) -> (r2_hidden(B,D) & r1_tarski(B,C) -> r1_tarski(k8_setfam_1(A,D),C)))) # label(t6_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6040 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (v1_funcop_1(D) & m1_pboole(D,A) -> (r1_pzfmisc1(A,B,C) & m3_pboole(D,A,B,C) -> r2_pboole(A,k2_mssubfam(A,D),C) & r6_pboole(A,k1_mssubfam(A,D),B)))))))) # label(t17_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6041 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m4_pboole(D,A,k1_mboolean(A,C)) -> m4_pboole(k4_pboole(A,D,B),A,k1_mboolean(A,C)))))))) # label(t36_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6042 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (v4_mssubfam(C,A,B) -> v3_mssubfam(C,A,B)))))) # label(cc4_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6043 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) & v1_funcop_1(C) -> (r2_pboole(A,B,k2_mssubfam(A,C)) & (all D all E (v1_funct_1(E) & v1_relat_1(E) -> (r2_hidden(D,A) & E = k1_funct_1(C,D) -> v1_finset_1(k10_relat_1(E,k1_funct_1(B,D)))))) -> v1_pre_circ(B,A)))))) # label(t25_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6044 (all A all B (m1_pboole(B,A) & v1_funcop_1(B) -> (all C (v1_funcop_1(C) & m1_pboole(C,A) -> m1_pboole(k13_pboole(B,C),A) & v1_funcop_1(k13_pboole(B,C)))))) # label(t15_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6045 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> ((all D (m1_pboole(D,A) -> (all E (m1_pboole(E,A) -> (r1_pboole(A,E,C) & r1_pboole(A,D,C) -> r1_pboole(A,k2_pboole(A,D,E),C)))))) <-> v1_mssubfam(C,A,B)))))) # label(d3_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6046 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (v1_pre_circ(C,A) & r2_pboole(A,B,C) -> v1_pre_circ(B,A)))))) # label(t18_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6047 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,B,C) & r2_pboole(A,D,C) -> m4_pboole(k2_pzfmisc1(A,B,D),A,k1_mboolean(A,C))))))))) # label(t39_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6048 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (all D (m4_pboole(D,A,k1_mboolean(A,B)) -> (r2_pboole(A,C,D) -> r2_pboole(A,k6_mssubfam(A,B,D),k6_mssubfam(A,B,C))))))))) # label(t46_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6049 (all A all B (m1_pboole(B,A) -> (v1_pre_circ(B,A) <-> v1_pre_circ(k1_mboolean(A,B),A)))) # label(t21_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6050 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (v6_mssubfam(C,A,B) -> v2_relat_1(C)))))) # label(cc8_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6051 (all A all B (m1_pboole(B,A) -> (exists C (v3_relat_1(C) & v1_funct_1(C) & v1_pre_circ(C,A) & v1_relat_1(C) & m4_pboole(C,A,k1_mboolean(A,B)))))) # label(rc3_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6052 (all A all B (v2_relat_1(B) & v1_pre_circ(B,A) & m1_pboole(B,A) -> -((all C (m1_pboole(C,A) -> -(r1_pboole(A,C,B) & (all D (m1_pboole(D,A) -> (r1_pboole(A,D,B) -> r2_pboole(A,D,C))))))) & (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> -(r1_pboole(A,D,B) & -r2_pboole(A,C,D) & -r2_pboole(A,D,C) & r1_pboole(A,C,B))))))))) # label(t29_mssubfam) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6053 (all A all B all C (m1_funct_7(C,B,A) & -v1_xboole_0(A) -> k8_funct_7(A,B,C) = k4_funct_7(B,C))) # label(redefinition_k8_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6054 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (r1_funct_7(A,B,C) -> r1_funct_7(B,A,C))))))) # label(t28_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6055 (all A all B (r1_tarski(k3_finseq_2(A),k3_finseq_2(B)) -> r1_tarski(A,B))) # label(t21_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6056 (all A (-v1_xboole_0(A) -> (all B (m2_finseq_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (r2_hidden(E,k4_finseq_1(B)) -> D = E | k4_finseq_4(k5_numbers,A,B,E) = k4_finseq_4(k5_numbers,A,k3_funct_7(A,B,D,C),E)))))))))))) # label(t39_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6057 (all A all B (m1_pboole(B,A) -> (all C (r2_hidden(C,A) -> k7_relat_1(B,k1_tarski(C)) = k3_cqc_lang(C,k1_funct_1(B,C)))))) # label(t7_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6058 (all A (v1_relat_1(A) & v2_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) & -v1_xboole_0(A) -> (all B (m2_funct_7(B,A) -> r1_tarski(k2_relat_1(k4_funct_7(k1_funct_1(A,np__1),B)),k1_funct_1(A,k3_finseq_1(A))) & k1_funct_1(A,np__1) = k1_relat_1(k4_funct_7(k1_funct_1(A,np__1),B)))))) # label(t69_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6059 (all A all B (r2_hidden(k9_finseq_1(A),k3_finseq_2(B)) <-> r2_hidden(A,B))) # label(t20_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6060 (all A all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_relset_1(C,A,A) & v1_funct_1(C) -> v1_funct_1(k9_funct_7(C,B)) & m2_relset_1(k9_funct_7(C,B),A,A))))) # label(t88_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6061 $T # label(dt_k6_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6062 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C ((r2_hidden(B,k1_relat_1(A)) -> k1_funct_4(A,k3_cqc_lang(B,C)) = k2_funct_7(A,B,C)) & (-r2_hidden(B,k1_relat_1(A)) -> k2_funct_7(A,B,C) = A))))) # label(d3_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6063 (all A all B (m2_subset_1(B,k1_numbers,k5_numbers) -> k9_funct_7(k6_partfun1(A),B) = k6_partfun1(A))) # label(t83_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6064 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r1_tarski(k2_relat_1(A),k1_relat_1(A)) -> r1_tarski(k2_relat_1(k9_funct_7(A,B)),k1_relat_1(A)) & k1_relat_1(A) = k1_relat_1(k9_funct_7(A,B))))))) # label(t76_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6065 (all A (v1_funct_1(A) & v1_relat_1(A) -> k6_partfun1(k2_xboole_0(k1_relat_1(A),k2_relat_1(A))) = k9_funct_7(A,np__0))) # label(t70_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6066 (all A ((exists B (A = f3_s4_funct_7(B) & r2_hidden(B,f1_s4_funct_7) & m1_subset_1(B,f2_s4_funct_7))) <-> r2_hidden(A,a_0_2_funct_7))) # label(fraenkel_a_0_2_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6067 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (r1_funct_7(A,B,C) -> k4_xboole_0(k1_relat_1(B),C) = k4_xboole_0(k1_relat_1(A),C))))))) # label(t30_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6068 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B ((-v1_xboole_0(A) -> (k7_funct_7(A) = B <-> k2_funct_5(k1_funct_1(A,k3_finseq_1(A))) = B)) & (v1_xboole_0(A) -> (v1_xboole_0(B) <-> B = k7_funct_7(A))))))) # label(d7_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6069 (all A all B all C (-r1_xboole_0(A,k2_relat_1(k1_funct_4(k6_partfun1(B),k2_funcop_1(A,C)))) -> r2_hidden(C,A))) # label(t13_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6070 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> k5_relat_1(k9_funct_7(A,B),k6_partfun1(k2_xboole_0(k1_relat_1(A),k2_relat_1(A)))) = k9_funct_7(A,B))))) # label(t78_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6071 (all A all B (v1_funct_1(A) & v1_funct_1(B) & v1_relat_1(B) & v1_relat_1(A) -> v1_relat_1(k10_finseq_1(A,B)) & v1_finseq_1(k10_finseq_1(A,B)) & v1_funcop_1(k10_finseq_1(A,B)) & v1_finset_1(k10_finseq_1(A,B)) & v1_funct_1(k10_finseq_1(A,B)))) # label(fc5_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6072 (all A all B ((v1_xboole_0(B) -> v1_xboole_0(A)) -> (all C (v1_funct_1(C) & v1_finseq_1(C) & v1_funct_7(C) & v1_relat_1(C) -> (m1_funct_7(C,A,B) <-> r1_tarski(k7_funct_7(C),B) & k6_funct_7(C) = A))))) # label(d9_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6073 (all A (m1_subset_1(A,f2_s4_funct_7) -> (all B (m1_subset_1(B,f2_s4_funct_7) -> (f3_s4_funct_7(B) = f3_s4_funct_7(A) -> B = A))))) & r1_tarski(f1_s4_funct_7,f2_s4_funct_7) -> r2_tarski(f1_s4_funct_7,a_0_2_funct_7) # label(s4_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6074 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> k1_funct_4(k5_relat_1(A,B),k5_relat_1(A,C)) = k5_relat_1(A,k1_funct_4(B,C)))))))) # label(t11_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6075 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (r1_tarski(k2_relat_1(A),B) -> A = k5_relat_1(A,k6_partfun1(B)))))) # label(t1_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6076 (all A all B (v1_relat_1(B) & v1_funcop_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> v1_relat_1(k4_funct_7(A,B)) & v1_funct_1(k4_funct_7(A,B)))) # label(dt_k4_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6077 (all A all B exists C m1_funct_7(C,A,B)) # label(existence_m1_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6078 (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) -> (v2_funct_1(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (all E (m1_subset_1(E,k1_zfmisc_1(B)) -> (r1_tarski(E,k2_funct_2(A,B,C,D)) -> r1_tarski(k3_funct_2(A,B,C,E),D))))))))))) # label(t2_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6079 (all A all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (v1_funct_1(C) & v1_funct_2(C,A,A) & m2_relset_1(C,A,A) -> m2_relset_1(k9_funct_7(C,B),A,A) & v1_funct_2(k9_funct_7(C,B),A,A) & v1_funct_1(k9_funct_7(C,B)))))) # label(t85_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6080 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> k5_relat_1(k6_partfun1(A),k5_relat_1(B,k5_relat_1(C,D))) = k4_funct_7(A,k11_finseq_1(B,C,D)))))))) # label(t56_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6081 (all A (v1_funct_1(A) & v1_relat_1(A) -> (r1_xboole_0(k2_relat_1(A),k1_relat_1(A)) -> k1_xboole_0 = k9_funct_7(A,np__2)))) # label(t84_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6082 (all A ((exists B (B = A & r2_hidden(f3_s3_funct_7(B),f1_s3_funct_7) & m1_subset_1(B,f2_s3_funct_7))) <-> r2_hidden(A,a_0_1_funct_7))) # label(fraenkel_a_0_1_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6083 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> k9_funct_7(A,k1_nat_1(B,np__1)) = k5_relat_1(A,k9_funct_7(A,B)))))) # label(t71_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6084 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_funcop_1(k5_finseq_1(A)) & v1_finseq_1(k5_finseq_1(A)) & v1_finset_1(k5_finseq_1(A)) & v1_funct_1(k5_finseq_1(A)) & v1_relat_1(k5_finseq_1(A)) & -v1_xboole_0(k5_finseq_1(A)))) # label(fc4_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6085 (all A (m1_subset_1(A,k1_zfmisc_1(k5_numbers)) -> ((all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (r2_hidden(B,A) -> r2_hidden(C,A) | r1_xreal_0(B,C)))))) -> v1_card_1(A)))) # label(t22_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6086 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> k9_funct_7(k1_xboole_0,A) = k1_xboole_0)) # label(t82_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6087 (all A all B (v1_finseq_1(B) & v1_funct_7(B) & v1_funct_1(B) & v1_relat_1(B) -> (B != k1_xboole_0 -> k1_relat_1(k4_funct_7(A,B)) = k3_xboole_0(k6_funct_7(B),A)))) # label(t63_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6088 (all A (v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & -v1_xboole_0(A) -> (all B (m2_funct_7(B,A) -> v1_funct_7(B) & v2_relat_1(B))))) # label(cc3_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6089 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (v1_funcop_1(k7_finseq_1(A,B)) -> v1_funcop_1(B) & v1_funcop_1(A)))))) # label(t25_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6090 (all A all B (m1_subset_1(A,k5_numbers) & v1_funct_1(B) & v1_relat_1(B) -> v1_relat_1(k2_finseq_2(A,B)) & v1_funct_1(k2_finseq_2(A,B)) & v1_finset_1(k2_finseq_2(A,B)) & v1_finseq_1(k2_finseq_2(A,B)) & v1_funcop_1(k2_finseq_2(A,B)))) # label(fc7_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6091 (all A all B (v1_funct_1(A) & m1_subset_1(B,k5_numbers) & v1_relat_1(A) -> v1_relat_1(k9_funct_7(A,B)) & v1_funct_1(k9_funct_7(A,B)))) # label(dt_k9_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6092 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B k2_funct_7(A,B,k1_funct_1(A,B)) = A))) # label(t37_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6093 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_funct_7(A) -> v1_finseq_1(A) & v1_funcop_1(A) & v1_finset_1(A) & v1_funct_1(A) & v1_relat_1(A))) # label(cc1_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6094 (all A all B (v1_funct_1(A) & v1_finseq_1(A) & v1_finseq_1(B) & v1_funcop_1(B) & v1_funct_1(B) & v1_relat_1(B) & v1_funcop_1(A) & v1_relat_1(A) -> v1_relat_1(k7_finseq_1(A,B)) & v1_finset_1(k7_finseq_1(A,B)) & v1_finseq_1(k7_finseq_1(A,B)) & v1_funcop_1(k7_finseq_1(A,B)) & v1_funct_1(k7_finseq_1(A,B)))) # label(fc8_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6095 (all A (v1_funct_1(A) & v1_funct_7(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_tarski(k2_relat_1(B),k6_funct_7(A)) -> v1_relat_1(k7_finseq_1(k9_finseq_1(B),A)) & v1_funct_1(k7_finseq_1(k9_finseq_1(B),A)) & v1_finseq_1(k7_finseq_1(k9_finseq_1(B),A)) & v1_funct_7(k7_finseq_1(k9_finseq_1(B),A))))))) # label(t65_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6096 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_tarski(k1_relat_1(B),A) -> B = k4_funct_7(A,k9_finseq_1(B))))) # label(t48_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6097 (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) -> (all D (r1_funct_7(A,B,D) & r1_funct_7(B,C,D) -> r1_funct_7(A,C,D))))))))) # label(t29_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6098 (all A (-v1_xboole_0(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) -> (v2_funct_1(C) -> (all D (m1_subset_1(D,B) -> (all E (m1_subset_1(E,k1_zfmisc_1(A)) -> (all F (m1_subset_1(F,k1_zfmisc_1(B)) -> (r2_hidden(D,k6_subset_1(B,k2_funct_2(A,B,C,E),F)) -> r2_hidden(k1_funct_1(k2_funct_1(C),D),k6_subset_1(A,E,k3_funct_2(A,B,C,F))))))))))))))))) # label(t5_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6099 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (B != np__0 -> r1_tarski(k2_relat_1(k9_funct_7(A,B)),k2_relat_1(A)) & r1_tarski(k1_relat_1(k9_funct_7(A,B)),k1_relat_1(A))))))) # label(t75_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6100 (all A all B (-v1_xboole_0(k3_cqc_lang(A,B)) & v1_funct_1(k3_cqc_lang(A,B)) & v1_relat_1(k3_cqc_lang(A,B)))) # label(fc1_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6101 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> r1_tarski(k2_relat_1(k9_funct_7(A,B)),k2_xboole_0(k1_relat_1(A),k2_relat_1(A))) & r1_tarski(k1_relat_1(k9_funct_7(A,B)),k2_xboole_0(k1_relat_1(A),k2_relat_1(A))))))) # label(t74_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6102 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (-(-r1_tarski(k1_relat_1(B),A) & -r1_tarski(k1_relat_1(k5_relat_1(B,C)),A) & -r1_tarski(k1_relat_1(k5_relat_1(B,k5_relat_1(C,D))),A)) -> k5_relat_1(B,k5_relat_1(C,D)) = k4_funct_7(A,k11_finseq_1(B,C,D))))))))) # label(t57_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6103 (all A (v1_finseq_1(A) & v1_funct_1(A) & v2_relat_1(A) & v1_relat_1(A) & -v1_xboole_0(A) -> (all B (m2_funct_7(B,A) -> v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B))))) # label(dt_m2_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6104 $T # label(t9_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6105 (all A (r2_hidden(A,a_0_0_funct_7) <-> (exists B (m1_subset_1(B,f2_s2_funct_7) & f3_s2_funct_7(B) = A & r2_hidden(f4_s2_funct_7(B),f1_s2_funct_7))))) # label(fraenkel_a_0_0_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6106 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C all D all E (E != D -> k2_funct_7(k2_funct_7(A,D,B),E,C) = k2_funct_7(k2_funct_7(A,E,C),D,B))))) # label(t35_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6107 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funcop_1(A) & v1_funct_1(A) -> (all B all C (v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) -> (B = k1_funct_1(C,np__1) & (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (all E (v1_funct_1(E) & v1_relat_1(E) -> (E = k1_funct_1(A,D) & r2_hidden(D,k4_finseq_1(A)) -> k1_funct_1(E,k1_funct_1(C,D)) = k1_funct_1(C,k1_nat_1(D,np__1))))))) & k1_nat_1(k3_finseq_1(A),np__1) = k3_finseq_1(C) <-> k5_funct_7(A,B) = C))))) # label(d5_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6108 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (np__0 != B -> k9_funct_7(k9_funct_7(A,C),B) = k9_funct_7(A,k2_nat_1(C,B))))))))) # label(t80_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6109 (all A all B (v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) & v1_finseq_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> ((exists D (v1_funcop_1(D) & k1_funct_1(D,k3_finseq_1(B)) = C & (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (r2_hidden(k1_nat_1(E,np__1),k4_finseq_1(B)) -> (all F (v1_funct_1(F) & v1_relat_1(F) -> (all G (v1_relat_1(G) & v1_funct_1(G) -> (G = k1_funct_1(B,k1_nat_1(E,np__1)) & F = k1_funct_1(D,E) -> k1_funct_1(D,k1_nat_1(E,np__1)) = k5_relat_1(F,G))))))))) & k6_partfun1(A) = k1_funct_1(D,np__0) & m1_pboole(D,k5_numbers))) <-> k4_funct_7(A,B) = C))))) # label(d4_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6110 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (r1_tarski(k2_relat_1(A),k1_relat_1(A)) -> k9_funct_7(k9_funct_7(A,B),C) = k9_funct_7(A,k2_nat_1(B,C))))))))) # label(t81_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6111 (all A all B (v1_finseq_1(B) & v1_funcop_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> k5_funct_7(k7_finseq_1(k9_finseq_1(C),B),A) = k7_finseq_1(k9_finseq_1(A),k5_funct_7(B,k1_funct_1(C,A))))))) # label(t46_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6112 (all A all B all C (r2_hidden(A,k3_xboole_0(B,C)) -> k1_funct_7(A,C) = k1_funct_7(A,B))) # label(t26_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6113 (all A (v1_finseq_1(A) & v1_funct_7(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_tarski(k7_funct_7(A),k1_relat_1(B)) -> v1_funct_7(k7_finseq_1(A,k9_finseq_1(B))) & v1_finseq_1(k7_finseq_1(A,k9_finseq_1(B))) & v1_funct_1(k7_finseq_1(A,k9_finseq_1(B))) & v1_relat_1(k7_finseq_1(A,k9_finseq_1(B)))))))) # label(t66_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6114 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) & v2_relat_1(A) & -v1_xboole_0(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (k1_nat_1(k3_finseq_1(B),np__1) = k3_finseq_1(A) & (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (r2_hidden(C,k4_finseq_1(B)) -> r2_hidden(k1_funct_1(B,C),k1_funct_2(k1_funct_1(A,C),k1_funct_1(A,k1_nat_1(C,np__1))))))) <-> m2_funct_7(B,A)))))) # label(d10_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6115 (all A all B (v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) & v1_finseq_1(B) -> (k1_xboole_0 != B -> r1_tarski(k2_relat_1(k4_funct_7(A,B)),k7_funct_7(B))))) # label(t61_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6116 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> (k3_finseq_1(A) = k1_nat_1(k3_finseq_1(B),np__1) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (r2_hidden(C,k4_finseq_1(A)) & r2_hidden(k1_nat_1(C,np__1),k4_finseq_1(A)) <-> r2_hidden(C,k4_finseq_1(B)))))))))) # label(t24_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6117 (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) -> k7_finseq_1(k9_finseq_1(A),k11_finseq_1(k1_funct_1(B,A),k1_funct_1(C,k1_funct_1(B,A)),k1_funct_1(D,k1_funct_1(C,k1_funct_1(B,A))))) = k5_funct_7(k11_finseq_1(B,C,D),A))))))) # label(t58_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6118 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B r1_funct_7(A,A,B)))) # label(t27_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6119 v1_finset_1(f1_s2_funct_7) & (all A (m1_subset_1(A,f2_s2_funct_7) -> (all B (m1_subset_1(B,f2_s2_funct_7) -> (f4_s2_funct_7(A) = f4_s2_funct_7(B) -> B = A))))) -> v1_finset_1(a_0_0_funct_7) # label(s2_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6120 (all A all B all C (m1_funct_7(C,A,B) -> v1_relat_1(C) & v1_funct_7(C) & v1_finseq_1(C) & v1_funct_1(C))) # label(dt_m1_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6121 (all A all B (v1_relat_1(B) & v1_funcop_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> (all C (v1_funcop_1(C) & v1_finseq_1(C) & v1_funct_1(C) & v1_relat_1(C) -> k1_funct_1(k5_funct_7(k7_finseq_1(B,C),A),k1_nat_1(k3_finseq_1(k7_finseq_1(B,C)),np__1)) = k1_funct_1(k5_funct_7(C,k1_funct_1(k5_funct_7(B,A),k1_nat_1(k3_finseq_1(B),np__1))),k1_nat_1(k3_finseq_1(C),np__1)))))) # label(t51_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6122 (all A (v1_finset_1(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (exists C (m2_subset_1(C,k1_zfmisc_1(A),B) & (all D (m2_subset_1(D,k1_zfmisc_1(A),B) -> (r1_tarski(D,C) -> C = D))))))))) # label(t23_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6123 (all A (-v1_xboole_0(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) -> (v2_funct_1(C) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,k1_zfmisc_1(A)) -> (all F (m1_subset_1(F,k1_zfmisc_1(B)) -> (r2_hidden(k8_funct_2(A,B,C,D),k6_subset_1(B,k2_funct_2(A,B,C,E),F)) -> r2_hidden(D,k6_subset_1(A,E,k3_funct_2(A,B,C,F))))))))))))))))) # label(t4_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6124 (all A (-v1_xboole_0(A) & v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) & v2_relat_1(A) -> (all B (m2_funct_7(B,A) -> (k1_xboole_0 != B -> r1_tarski(k7_funct_7(B),k1_funct_1(A,k3_finseq_1(A))) & k6_funct_7(B) = k1_funct_1(A,np__1)))))) # label(t68_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6125 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(k1_relat_1(k5_relat_1(B,C)),A) | r1_tarski(k1_relat_1(B),A) -> k5_relat_1(B,C) = k4_funct_7(A,k10_finseq_1(B,C))))))) # label(t54_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6126 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> ((exists B (k3_finseq_1(B) = k1_nat_1(k3_finseq_1(A),np__1) & (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (r2_hidden(C,k4_finseq_1(A)) -> r2_hidden(k1_funct_1(A,C),k1_funct_2(k1_funct_1(B,C),k1_funct_1(B,k1_nat_1(C,np__1))))))) & v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B))) <-> v1_funct_7(A)))) # label(d8_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6127 (all A (-v1_xboole_0(A) -> (all B (m2_finseq_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> B = k3_funct_7(A,B,E,k4_finseq_4(k5_numbers,A,B,E)))))))))))) # label(t40_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6128 (all A (m1_subset_1(A,f2_s3_funct_7) -> (all B (m1_subset_1(B,f2_s3_funct_7) -> (f3_s3_funct_7(B) = f3_s3_funct_7(A) -> B = A))))) & (all A -(r2_hidden(A,f1_s3_funct_7) & (all B (m1_subset_1(B,f2_s3_funct_7) -> A != f3_s3_funct_7(B))))) -> r2_tarski(f1_s3_funct_7,a_0_1_funct_7) # label(s3_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6129 (all A all B all C all D (m1_subset_1(D,A) & m1_subset_1(C,k5_numbers) & m1_finseq_1(B,A) -> m2_finseq_1(k3_funct_7(A,B,C,D),A))) # label(dt_k3_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.59	6130 (all A (m1_subset_1(A,f1_s1_funct_7) -> (all B (m1_subset_1(B,f2_s1_funct_7) -> r2_hidden(f4_s1_funct_7(A,B),f3_s1_funct_7))))) -> (exists A (m2_relset_1(A,k2_zfmisc_1(f1_s1_funct_7,f2_s1_funct_7),f3_s1_funct_7) & (all B (m1_subset_1(B,f1_s1_funct_7) -> (all C (m1_subset_1(C,f2_s1_funct_7) -> k8_funct_2(k2_zfmisc_1(f1_s1_funct_7,f2_s1_funct_7),f3_s1_funct_7,A,k1_domain_1(f1_s1_funct_7,f2_s1_funct_7,B,C)) = f4_s1_funct_7(B,C))))) & v1_funct_2(A,k2_zfmisc_1(f1_s1_funct_7,f2_s1_funct_7),f3_s1_funct_7) & v1_funct_1(A))) # label(s1_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6131 (all A all B all C (v1_finseq_1(C) & v1_funcop_1(C) & v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) & v1_funcop_1(D) & v1_finseq_1(D) -> (r1_tarski(k2_relat_1(k4_funct_7(A,C)),B) -> k5_relat_1(k4_funct_7(A,C),k4_funct_7(B,D)) = k4_funct_7(A,k7_finseq_1(C,D))))))) # label(t50_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6132 (all A all B (v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) & v1_finseq_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> k4_funct_7(A,k7_finseq_1(k9_finseq_1(C),B)) = k5_relat_1(k7_relat_1(C,A),k4_funct_7(k9_relat_1(C,A),B)))))) # label(t45_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6133 (exists A (v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_funct_7(A) & v1_funcop_1(A) & v1_finset_1(A) & v1_relat_1(A) & -v1_xboole_0(A))) # label(rc2_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6134 (all A all B all C (v1_finseq_1(C) & v1_funct_7(C) & v1_funct_1(C) & v1_relat_1(C) -> (r2_hidden(A,k6_funct_7(C)) & r2_hidden(A,B) -> k1_funct_1(k4_funct_7(B,C),A) = k1_funct_1(k5_funct_7(C,A),k1_nat_1(k3_finseq_1(C),np__1))))) # label(t67_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6135 (all A all B (v1_funct_1(A) & v1_funcop_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> v1_relat_1(k5_funct_7(A,B)) & v1_funct_1(k5_funct_7(A,B)) & v1_finseq_1(k5_funct_7(A,B)))) # label(dt_k5_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6136 (all A all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (all D (v1_funct_1(D) & v1_funct_2(D,A,A) & m2_relset_1(D,A,A) -> k9_funct_7(D,k2_nat_1(B,C)) = k9_funct_7(k9_funct_7(D,B),C))))))) # label(t87_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6137 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C (r2_hidden(C,k1_relat_1(A)) -> k1_funct_1(k2_funct_7(A,C,B),C) = B)))) # label(t33_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6138 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (r2_hidden(B,k1_relat_1(A)) -> k3_cqc_lang(B,k1_funct_1(A,B)) = k7_relat_1(A,k1_tarski(B)))))) # label(t6_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6139 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B ((-v1_xboole_0(A) -> (k6_funct_7(A) = B <-> B = k1_funct_5(k1_funct_1(A,np__1)))) & (v1_xboole_0(A) -> (v1_xboole_0(B) <-> k6_funct_7(A) = B)))))) # label(d6_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6140 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> k9_funct_7(A,B) = k5_relat_1(k6_partfun1(k2_xboole_0(k1_relat_1(A),k2_relat_1(A))),k9_funct_7(A,B)))))) # label(t77_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6141 (all A (v1_xboole_0(A) & v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> v1_relat_1(A) & v1_funcop_1(A) & v1_funct_7(A) & v1_finseq_1(A) & v1_finset_1(A) & v1_funct_1(A))) # label(cc2_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6142 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> k5_relat_1(k6_partfun1(A),B) = k4_funct_7(A,k9_finseq_1(B)))) # label(t47_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6143 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (r1_tarski(k1_relat_1(B),C) -> r1_funct_7(A,k1_funct_4(A,B),C))))))) # label(t31_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6144 (all A all B (v1_finseq_1(B) & v1_funcop_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> k4_funct_7(A,k7_finseq_1(B,k9_finseq_1(C))) = k5_relat_1(k4_funct_7(A,B),C))))) # label(t43_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6145 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> ((exists D (v1_funct_1(D) & (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (exists F (v1_funct_1(F) & F = k8_funct_2(k5_numbers,k4_partfun1(k2_xboole_0(k1_relat_1(A),k2_relat_1(A)),k2_xboole_0(k1_relat_1(A),k2_relat_1(A))),D,E) & k5_relat_1(A,F) = k8_funct_2(k5_numbers,k4_partfun1(k2_xboole_0(k1_relat_1(A),k2_relat_1(A)),k2_xboole_0(k1_relat_1(A),k2_relat_1(A))),D,k1_nat_1(E,np__1)) & v1_relat_1(F))))) & k8_funct_2(k5_numbers,k4_partfun1(k2_xboole_0(k1_relat_1(A),k2_relat_1(A)),k2_xboole_0(k1_relat_1(A),k2_relat_1(A))),D,np__0) = k6_partfun1(k2_xboole_0(k1_relat_1(A),k2_relat_1(A))) & k8_funct_2(k5_numbers,k4_partfun1(k2_xboole_0(k1_relat_1(A),k2_relat_1(A)),k2_xboole_0(k1_relat_1(A),k2_relat_1(A))),D,B) = C & m2_relset_1(D,k5_numbers,k4_partfun1(k2_xboole_0(k1_relat_1(A),k2_relat_1(A)),k2_xboole_0(k1_relat_1(A),k2_relat_1(A)))) & v1_funct_2(D,k5_numbers,k4_partfun1(k2_xboole_0(k1_relat_1(A),k2_relat_1(A)),k2_xboole_0(k1_relat_1(A),k2_relat_1(A)))))) <-> k9_funct_7(A,B) = C))))))) # label(d11_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6146 (all A (-v1_xboole_0(A) -> (all B (m2_finseq_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r2_hidden(D,k4_finseq_1(B)) -> C = k4_finseq_4(k5_numbers,A,k3_funct_7(A,B,D,C),D)))))))))) # label(t38_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6147 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (k7_relat_1(A,k4_xboole_0(k1_relat_1(A),C)) = k7_relat_1(B,k4_xboole_0(k1_relat_1(B),C)) <-> r1_funct_7(A,B,C))))))) # label(d2_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6148 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> k9_funct_7(A,k1_nat_1(B,np__1)) = k5_relat_1(k9_funct_7(A,B),A))))) # label(t73_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6149 (exists A (v2_relat_1(A) & v1_finseq_1(A) & v1_funcop_1(A) & v1_finset_1(A) & v1_funct_1(A) & v1_relat_1(A) & -v1_xboole_0(A))) # label(rc1_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6150 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> (v1_funct_7(k7_finseq_1(A,B)) -> v1_funct_7(A) & v1_funct_7(B)))))) # label(t62_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6151 $T # label(dt_k7_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6152 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r2_hidden(A,B) & C = k2_funcop_1(B,A) -> C = k9_funct_7(C,D) | np__0 = D))))) # label(t89_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6153 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_xboole_0(k2_relat_1(A),k1_relat_1(B)) -> k5_relat_1(A,k1_funct_4(C,B)) = k5_relat_1(A,C)))))))) # label(t12_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6154 (all A all B all C -(A != B & r2_hidden(A,k2_relat_1(k1_funct_4(k6_partfun1(C),k3_cqc_lang(A,B)))))) # label(t14_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6155 (all A (-v1_xboole_0(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) -> (v2_funct_1(C) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,k1_zfmisc_1(A)) -> (r2_hidden(k8_funct_2(A,B,C,D),k2_funct_2(A,B,C,E)) -> r2_hidden(D,E))))))))))))) # label(t3_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6156 (all A all B all C (-v1_xboole_0(A) & m1_funct_7(C,B,A) -> m2_relset_1(k8_funct_7(A,B,C),B,A) & v1_funct_2(k8_funct_7(A,B,C),B,A) & v1_funct_1(k8_funct_7(A,B,C)))) # label(dt_k8_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6157 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C k1_relat_1(k2_funct_7(A,C,B)) = k1_relat_1(A)))) # label(t32_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6158 (all A all B all C (v1_funct_1(A) & v1_finseq_1(A) & m1_subset_1(B,k5_numbers) & v1_relat_1(A) -> v1_relat_1(k2_funct_7(A,B,C)) & v1_funct_1(k2_funct_7(A,B,C)) & v1_finset_1(k2_funct_7(A,B,C)) & v1_finseq_1(k2_funct_7(A,B,C)))) # label(fc9_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6159 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> k4_funct_7(A,k10_finseq_1(B,C)) = k5_relat_1(k6_partfun1(A),k5_relat_1(B,C)))))) # label(t53_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6160 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funcop_1(A) & v1_funct_1(A) -> (p1_s5_funct_7(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> p1_s5_funct_7(k7_finseq_1(A,k9_finseq_1(B)))))))) & p1_s5_funct_7(k1_xboole_0) -> (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funcop_1(A) & v1_funct_1(A) -> p1_s5_funct_7(A))) # label(s5_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6161 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> k5_funct_7(k10_finseq_1(B,C),A) = k11_finseq_1(A,k1_funct_1(B,A),k1_funct_1(C,k1_funct_1(B,A))))))) # label(t55_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6162 (all A k9_finseq_1(A) = k5_funct_7(k1_xboole_0,A)) # label(t42_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6163 (all A (-v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (exists B m2_funct_7(B,A)))) # label(existence_m2_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6164 (all A all B all C (v1_relat_1(A) & v1_funct_1(A) -> v1_funct_1(k2_funct_7(A,B,C)) & v1_relat_1(k2_funct_7(A,B,C)))) # label(dt_k2_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6165 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_funct_7(A) & v1_finseq_1(A) -> k1_relat_1(k4_funct_7(k6_funct_7(A),A)) = k6_funct_7(A))) # label(t64_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6166 (all A k6_partfun1(A) = k4_funct_7(A,k1_xboole_0)) # label(t41_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6167 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C all D k2_funct_7(A,D,C) = k2_funct_7(k2_funct_7(A,D,B),D,C)))) # label(t36_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6168 (all A all B all C all D (m1_finseq_1(B,A) & m1_subset_1(C,k5_numbers) & m1_subset_1(D,A) -> k3_funct_7(A,B,C,D) = k2_funct_7(B,C,D))) # label(redefinition_k3_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6169 (all A all B all C all D (-v1_xboole_0(k4_funct_4(A,B,C,D)) & v1_relat_1(k4_funct_4(A,B,C,D)) & v1_funct_1(k4_funct_4(A,B,C,D)))) # label(fc2_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6170 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C all D (D != C -> k1_funct_1(k2_funct_7(A,C,B),D) = k1_funct_1(A,D))))) # label(t34_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6171 (all A all B (v1_funct_1(B) & v1_funct_2(B,A,A) & m2_relset_1(B,A,A) -> k9_funct_7(B,np__0) = k6_partfun1(A))) # label(t86_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6172 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) & v1_funct_1(B) & v1_relat_1(B) & v1_funct_1(A) & v1_relat_1(A) -> v1_finset_1(k11_finseq_1(A,B,C)) & v1_funcop_1(k11_finseq_1(A,B,C)) & v1_finseq_1(k11_finseq_1(A,B,C)) & v1_funct_1(k11_finseq_1(A,B,C)) & v1_relat_1(k11_finseq_1(A,B,C)))) # label(fc6_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6173 (all A all B (v1_funcop_1(B) & v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_finseq_1(C) & v1_funcop_1(C) & v1_funct_1(C) -> k5_funct_7(k7_finseq_1(B,C),A) = k1_rewrite1(k5_funct_7(B,A),k5_funct_7(C,k1_funct_1(k5_funct_7(B,A),k1_nat_1(k3_finseq_1(B),np__1)))))))) # label(t52_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6174 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (k2_xboole_0(A,k1_tarski(B)) = k1_relat_1(C) -> C = k1_funct_4(k7_relat_1(C,A),k3_cqc_lang(B,k1_funct_1(C,B)))))) # label(t15_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6175 (all A all B m1_subset_1(k1_funct_7(A,B),B)) # label(dt_k1_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6176 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> k5_relat_1(k9_funct_7(A,C),k9_funct_7(A,B)) = k9_funct_7(A,k1_nat_1(B,C)))))))) # label(t79_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6177 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> k1_relat_1(A) = k6_funct_7(k7_finseq_1(k9_finseq_1(A),B)) & k2_relat_1(A) = k7_funct_7(k7_finseq_1(B,k9_finseq_1(A))))))) # label(t60_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6178 (all A all B all C (m1_pboole(C,k2_zfmisc_1(A,B)) -> (all D all E (r2_hidden(D,A) & r2_hidden(E,B) -> k9_funct_2(D,E,k1_binop_1(C,D,E)) = k7_relat_1(C,k2_zfmisc_1(k1_tarski(D),k1_tarski(E))))))) # label(t8_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6179 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C all D k1_funct_4(A,k2_funcop_1(B,D)) = k1_funct_4(k1_funct_4(A,k2_funcop_1(B,C)),k2_funcop_1(B,D))))) # label(t16_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6180 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> k5_funct_7(k9_finseq_1(B),A) = k10_finseq_1(A,k1_funct_1(B,A)))) # label(t49_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6181 (all A all B (v1_finseq_1(B) & v1_funcop_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> k7_finseq_1(k5_funct_7(B,A),k9_finseq_1(k1_funct_1(C,k1_funct_1(k5_funct_7(B,A),k1_nat_1(k3_finseq_1(B),np__1))))) = k5_funct_7(k7_finseq_1(B,k9_finseq_1(C)),A))))) # label(t44_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6182 $T # label(t17_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6183 (all A (v1_funct_1(A) & v1_relat_1(A) -> -v1_xboole_0(k5_finseq_1(A)) & v1_funcop_1(k5_finseq_1(A)) & v1_funct_7(k5_finseq_1(A)) & v1_finseq_1(k5_finseq_1(A)) & v1_finset_1(k5_finseq_1(A)) & v1_funct_1(k5_finseq_1(A)) & v1_relat_1(k5_finseq_1(A)))) # label(fc10_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6184 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(k2_relat_1(B),k1_relat_1(A)) & r1_tarski(k2_relat_1(C),k1_relat_1(A)) -> k5_relat_1(k1_funct_4(B,C),A) = k1_funct_4(k5_relat_1(B,A),k5_relat_1(C,A))))))))) # label(t10_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6185 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> k9_funct_7(A,B) = k4_funct_7(k2_xboole_0(k1_relat_1(A),k2_relat_1(A)),k2_finseq_2(B,A)))))) # label(t90_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6186 (all A (v1_funct_1(A) & v1_relat_1(A) -> A = k9_funct_7(A,np__1))) # label(t72_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6187 (all A all B (r2_hidden(A,B) -> A = k1_funct_7(A,B))) # label(d1_funct_7) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6188 (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].
16.00/15.60	6189 (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].
16.00/15.60	6190 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6191 (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].
16.00/15.60	6192 (exists A l2_struct_0(A)) # label(existence_l2_struct_0) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6193 (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].
16.00/15.60	6194 (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].
16.00/15.60	6195 (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].
16.00/15.60	6196 (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].
16.00/15.60	6197 (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].
16.00/15.60	6198 (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].
16.00/15.60	6199 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6200 (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].
16.00/15.60	6201 (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].
16.00/15.60	6202 (all A (l2_struct_0(A) -> l1_struct_0(A))) # label(dt_l2_struct_0) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6203 (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].
16.00/15.60	6204 (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].
16.00/15.60	6205 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6206 (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].
16.00/15.60	6207 (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].
16.00/15.60	6208 (exists A (l1_struct_0(A) & v1_struct_0(A))) # label(rc1_struct_0) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6209 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6210 (exists A (v2_struct_0(A) & l2_struct_0(A))) # label(rc2_struct_0) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6211 (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].
16.00/15.60	6212 (exists A (-v3_struct_0(A) & l2_struct_0(A))) # label(rc4_struct_0) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6213 (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].
16.00/15.60	6214 (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].
16.00/15.60	6215 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_cat_1(E,A,B,C) -> (all F (m1_cat_1(F,A,C,D) -> (v4_cat_1(k9_cat_1(A,B,C,D,E,F),A) -> k6_cat_1(A,B,C) = k1_xboole_0 | k1_xboole_0 = k6_cat_1(A,C,D) | v4_cat_1(F,A)))))))))))))) # label(t67_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6216 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (r1_cat_1(A,B,C) <-> k6_cat_1(A,B,C) != k1_xboole_0 & k1_xboole_0 != k6_cat_1(A,C,B) & (exists D ((exists E (m1_cat_1(E,A,C,B) & k9_cat_1(A,C,B,C,E,D) = k10_cat_1(A,C) & k9_cat_1(A,B,C,B,D,E) = k10_cat_1(A,B))) & m1_cat_1(D,A,B,C)))))))))) # label(t81_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6217 (all A all B (v2_cat_1(A) & m1_subset_1(B,u1_cat_1(A)) & l1_cat_1(A) -> m1_cat_1(k10_cat_1(A,B),A,B,B))) # label(dt_k10_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6218 $T # label(t16_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6219 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> k8_funct_2(u1_cat_1(A),u1_cat_1(A),k12_cat_1(A,A,k15_cat_1(A)),B) = B)))) # label(t116_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6220 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (v7_cat_1(C,A) & v7_cat_1(B,A) -> r1_cat_1(A,B,C)))))))) # label(t84_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6221 $T # label(t119_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6222 (all A all B all C all D all E all F (v1_funct_1(E) & v1_funct_1(F) & m1_relset_1(F,A,B) & v1_funct_2(F,A,B) & m1_relset_1(E,k2_zfmisc_1(B,B),B) & m1_relset_1(D,B,A) & v1_funct_2(D,B,A) & v1_funct_1(D) & m1_relset_1(C,B,A) & v1_funct_2(C,B,A) & v1_funct_1(C) & -v1_xboole_0(B) & -v1_xboole_0(A) -> v1_cat_1(g1_cat_1(A,B,C,D,E,F)) & l1_cat_1(g1_cat_1(A,B,C,D,E,F)))) # label(dt_g1_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6223 (all A all B all C (m1_subset_1(C,u1_cat_1(A)) & m1_subset_1(B,u1_cat_1(A)) & l1_cat_1(A) -> (all D (m1_cat_1(D,A,B,C) -> m1_subset_1(D,u2_cat_1(A)))))) # label(dt_m1_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6224 (all A all B all C (k2_zfmisc_1(k1_tarski(A),k1_tarski(B)) = k1_relat_1(k1_cat_1(A,B,C)) & k1_tarski(k4_tarski(A,B)) = k1_relat_1(k1_cat_1(A,B,C)))) # label(t7_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6225 (all A all B all C all D (m1_subset_1(D,u1_cat_1(B)) & m1_subset_1(C,u1_cat_1(B)) & l1_cat_1(B) -> ((exists E (A = E & k3_cat_1(B,E) = D & C = k2_cat_1(B,E) & m1_subset_1(E,u2_cat_1(B)))) <-> r2_hidden(A,a_3_0_cat_1(B,C,D))))) # label(fraenkel_a_3_0_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6226 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_cat_1(E,A,B,C) -> (all F (m1_cat_1(F,A,C,D) -> -(k1_xboole_0 != k6_cat_1(A,B,C) & -r2_hidden(k4_cat_1(A,E,F),k6_cat_1(A,B,D)) & k6_cat_1(A,C,D) != k1_xboole_0))))))))))))) # label(t51_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6227 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,B,C) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> k13_cat_1(B,C,E,k13_cat_1(A,B,D,F)) = k13_cat_1(A,C,k14_cat_1(A,B,C,D,E),F))))))))))))) # label(t113_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6228 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> k10_cat_1(A,B) = k9_cat_1(A,B,B,B,k10_cat_1(A,B),k10_cat_1(A,B)))))) # label(t59_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6229 $T # label(t50_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6230 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> -(k6_cat_1(A,B,C) != k1_xboole_0 & k6_cat_1(A,B,D) = k1_xboole_0 & k1_xboole_0 != k6_cat_1(A,C,D)))))))))) # label(t52_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6231 (all A all B all C (m1_subset_1(C,u2_cat_1(k8_cat_1(A,B))) -> C = B)) # label(t35_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6232 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_cat_1(D,A,B,C) -> (all E (m1_cat_1(E,A,C,B) -> (k9_cat_1(A,C,B,C,E,D) = k10_cat_1(A,C) -> k6_cat_1(A,B,C) = k1_xboole_0 | v4_cat_1(D,A) | k6_cat_1(A,C,B) = k1_xboole_0))))))))))) # label(t68_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6233 (all A (l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> k6_cat_1(A,B,C) = a_3_0_cat_1(A,B,C))))))) # label(d6_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6234 $T # label(t5_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6235 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> ((all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> v2_funct_1(k16_cat_1(A,B,C,D,E)))))) <-> v10_cat_1(C,A,B)))))))) # label(t133_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6236 (all A (l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (r2_hidden(k4_tarski(C,B),k1_relat_1(u5_cat_1(A))) -> k4_cat_1(A,B,C) = k1_funct_1(u5_cat_1(A),k4_tarski(C,B))))))))) # label(d4_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6237 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (v6_cat_1(B,A) -> (all C (m1_cat_1(C,A,B,B) -> C = k10_cat_1(A,B)))))))) # label(t87_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6238 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_cat_1(E,A,B,C) -> (all F (m1_cat_1(F,A,C,D) -> (v3_cat_1(k9_cat_1(A,B,C,D,E,F),A) -> k6_cat_1(A,B,C) = k1_xboole_0 | k1_xboole_0 = k6_cat_1(A,C,D) | v3_cat_1(E,A)))))))))))))) # label(t62_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6239 $T # label(t12_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6240 $T # label(t79_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6241 (all A (l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_cat_1(F,A,B,C) -> (all G (m1_cat_1(G,A,D,E) -> (F = G -> B = D & C = E | k6_cat_1(A,D,E) = k1_xboole_0 | k1_xboole_0 = k6_cat_1(A,B,C)))))))))))))))) # label(t24_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6242 (all A all B all C k3_cqc_lang(k4_tarski(A,B),C) = k1_cat_1(A,B,C)) # label(d1_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6243 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> k10_cat_1(B,k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),D)) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,D)))))))))) # label(t104_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6244 (all A all B all C all D (m1_subset_1(D,k1_tarski(A)) -> (all E (m1_subset_1(E,k1_tarski(B)) -> k1_funct_1(k1_cat_1(A,B,C),k4_tarski(D,E)) = C)))) # label(t9_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6245 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,B,C) -> m2_cat_1(k7_funct_2(u2_cat_1(A),u2_cat_1(B),u2_cat_1(C),D,E),A,C))))))))))) # label(t110_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6246 $T # label(t95_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6247 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> -(k6_cat_1(B,k13_cat_1(A,B,C,D),k13_cat_1(A,B,C,E)) = k1_xboole_0 & k6_cat_1(A,D,E) != k1_xboole_0))))))))))) # label(t126_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6248 (all A (l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> m1_cat_1(B,A,k2_cat_1(A,B),k3_cat_1(A,B)))))) # label(t22_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6249 (all A all B all C (m1_subset_1(C,u1_cat_1(k8_cat_1(A,B))) -> (all D (m1_subset_1(D,u1_cat_1(k8_cat_1(A,B))) -> k1_xboole_0 != k6_cat_1(k8_cat_1(A,B),C,D))))) # label(t38_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6250 (all A all B all C all D all E all F (m1_subset_1(B,u1_cat_1(A)) & m1_subset_1(D,u1_cat_1(A)) & m1_cat_1(E,A,B,C) & m1_cat_1(F,A,C,D) & m1_subset_1(C,u1_cat_1(A)) & l1_cat_1(A) & v2_cat_1(A) -> m1_cat_1(k9_cat_1(A,B,C,D,E,F),A,B,D))) # label(dt_k9_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6251 (all A (l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_cat_1(F,A,B,C) -> -((all G (m1_cat_1(G,A,D,E) -> k1_tarski(G) != k6_cat_1(A,D,E))) & k1_tarski(F) = k6_cat_1(A,B,C) & r2_tarski(k6_cat_1(A,B,C),k6_cat_1(A,D,E))))))))))))))) # label(t27_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6252 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> r2_hidden(k5_cat_1(A,B),k6_cat_1(A,B,B)))))) # label(t55_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6253 (all A all B all C all D (-v1_xboole_0(D) -> (all E (v1_funct_1(E) & m2_relset_1(E,A,D) & v1_funct_2(E,A,D) -> (r1_tarski(B,A) & r1_tarski(k2_funct_2(A,D,E,B),C) -> v1_funct_1(k2_partfun1(A,D,E,B)) & v1_funct_2(k2_partfun1(A,D,E,B),B,C) & m2_relset_1(k2_partfun1(A,D,E,B),B,C)))))) # label(t4_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6254 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_cat_1(E,A,B,C) -> (all F (m1_cat_1(F,A,C,D) -> (v5_cat_1(F,A) & v5_cat_1(E,A) -> k6_cat_1(A,B,C) = k1_xboole_0 | k1_xboole_0 = k6_cat_1(A,C,D) | v5_cat_1(k9_cat_1(A,B,C,D,E,F),A)))))))))))))) # label(t75_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6255 $T # label(t2_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6256 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (v6_cat_1(B,A) <-> (all C (m1_subset_1(C,u1_cat_1(A)) -> k1_xboole_0 != k6_cat_1(A,C,B) & (exists D ((all E (m1_cat_1(E,A,C,B) -> D = E)) & m1_cat_1(D,A,C,B)))))))))) # label(d15_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6257 $T # label(t106_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6258 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) -> ((all D (m1_subset_1(D,u1_cat_1(A)) -> (exists E (m1_subset_1(E,u1_cat_1(B)) & k10_cat_1(B,E) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,D)))))) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> (k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,D)) = k10_cat_1(B,E) -> E = k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),D))))))))))))) # label(t102_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6259 $T # label(t13_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6260 (all A all B all C all D all E all F (-v1_xboole_0(A) & v1_funct_1(C) & v1_funct_2(C,B,A) & m1_relset_1(D,B,A) & v1_funct_1(F) & v1_funct_2(F,A,B) & m1_relset_1(F,A,B) & m1_relset_1(E,k2_zfmisc_1(B,B),B) & v1_funct_1(E) & v1_funct_2(D,B,A) & v1_funct_1(D) & m1_relset_1(C,B,A) & -v1_xboole_0(B) -> (all G all H all I all J all K all L (g1_cat_1(A,B,C,D,E,F) = g1_cat_1(G,H,I,J,K,L) -> G = A & E = K & F = L & J = D & C = I & H = B)))) # label(free_g1_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6261 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> k6_cat_1(A,B,B) != k1_xboole_0)))) # label(t56_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6262 $T # label(t17_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6263 $T # label(t121_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6264 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_cat_1(E,A,B,C) -> (all F (m1_cat_1(F,A,C,D) -> (v5_cat_1(F,A) & v5_cat_1(E,A) -> k1_xboole_0 = k6_cat_1(A,B,C) | k1_xboole_0 = k6_cat_1(A,C,D) | k11_cat_1(A,B,D,k9_cat_1(A,B,C,D,E,F)) = k9_cat_1(A,D,C,B,k11_cat_1(A,C,D,F),k11_cat_1(A,B,C,E))))))))))))))) # label(t77_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6265 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> (k2_cat_1(A,E) = k3_cat_1(A,D) -> k2_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,E)) = k3_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D)) & k4_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D),k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,E)) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k4_cat_1(A,D,E))))))))))))) # label(t99_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6266 (all A (l1_cat_1(A) & v2_cat_1(A) -> m2_cat_1(k6_partfun1(u2_cat_1(A)),A,A))) # label(t111_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6267 (all A (l1_cat_1(A) -> (v1_cat_1(A) -> A = g1_cat_1(u1_cat_1(A),u2_cat_1(A),u3_cat_1(A),u4_cat_1(A),u5_cat_1(A),u6_cat_1(A))))) # label(abstractness_v1_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6268 (all A (l1_cat_1(A) -> -v1_xboole_0(u2_cat_1(A)))) # label(dt_u2_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6269 $T # label(t49_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6270 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_cat_1(D,A,B,C) -> (k6_cat_1(A,B,C) != k1_xboole_0 -> k9_cat_1(A,B,C,C,D,k10_cat_1(A,C)) = D))))))))) # label(t57_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6271 (all A all B all C C = k1_funct_1(k1_cat_1(A,B,C),k4_tarski(A,B))) # label(t8_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6272 (all A (l1_cat_1(A) -> m2_relset_1(u4_cat_1(A),u2_cat_1(A),u1_cat_1(A)) & v1_funct_2(u4_cat_1(A),u2_cat_1(A),u1_cat_1(A)) & v1_funct_1(u4_cat_1(A)))) # label(dt_u4_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6273 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> v3_cat_1(k10_cat_1(A,B),A))))) # label(t64_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6274 (all A (l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_cat_1(D,A,B,C) -> ((all E (m1_cat_1(E,A,B,C) -> D = E)) -> k6_cat_1(A,B,C) = k1_xboole_0 | k6_cat_1(A,B,C) = k1_tarski(D)))))))))) # label(t26_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6275 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (r1_cat_1(A,B,C) -> r1_cat_1(A,C,B)))))))) # label(t92_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6276 (all A all B all C all D all E (l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & l1_cat_1(C) & m2_cat_1(D,A,B) & m2_cat_1(E,B,C) & v2_cat_1(C) & v2_cat_1(A) -> m2_cat_1(k14_cat_1(A,B,C,D,E),A,C))) # label(dt_k14_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6277 $T # label(t72_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6278 (all A all B all C all D (v2_cat_1(B) & m1_subset_1(D,u1_cat_1(A)) & m2_cat_1(C,A,B) & l1_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> m1_subset_1(k13_cat_1(A,B,C,D),u1_cat_1(B)))) # label(dt_k13_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6279 $T # label(t48_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6280 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_cat_1(E,A,B,C) -> (all F (m1_cat_1(F,A,C,D) -> (v3_cat_1(E,A) & v3_cat_1(F,A) -> k1_xboole_0 = k6_cat_1(A,B,C) | k6_cat_1(A,C,D) = k1_xboole_0 | v3_cat_1(k9_cat_1(A,B,C,D,E,F),A)))))))))))))) # label(t61_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.00/15.60	6281 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_cat_1(D,A,B,C) -> -(k1_xboole_0 != k6_cat_1(A,C,B) & (exists E ((exists F (m1_cat_1(F,A,C,B) & k9_cat_1(A,C,B,C,E,D) = k10_cat_1(A,C) & E != F & k9_cat_1(A,B,C,B,D,F) = k10_cat_1(A,B))) & m1_cat_1(E,A,C,B))) & k6_cat_1(A,B,C) != k1_xboole_0))))))))) # label(t71_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6282 (all A all B (l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(A) -> (all C (m2_cat_1(C,A,B) -> v1_funct_1(C) & m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)))))) # label(dt_m2_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6283 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (k3_cat_1(A,C) = B -> k4_cat_1(A,C,k5_cat_1(A,B)) = C))))))) # label(t46_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6284 (all A all B (m1_subset_1(B,u2_cat_1(A)) & l1_cat_1(A) -> m1_subset_1(k3_cat_1(A,B),u1_cat_1(A)))) # label(dt_k3_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6285 $T # label(t14_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6286 (all A (l1_cat_1(A) -> ((all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (k2_cat_1(A,C) = k3_cat_1(A,B) -> k2_cat_1(A,B) = k2_cat_1(A,k4_cat_1(A,B,C)) & k3_cat_1(A,k4_cat_1(A,B,C)) = k3_cat_1(A,C)))))) & (all B (m1_subset_1(B,u1_cat_1(A)) -> B = k2_cat_1(A,k5_cat_1(A,B)) & (all C (m1_subset_1(C,u2_cat_1(A)) -> (k3_cat_1(A,C) = B -> C = k4_cat_1(A,C,k5_cat_1(A,B))))) & (all C (m1_subset_1(C,u2_cat_1(A)) -> (B = k2_cat_1(A,C) -> C = k4_cat_1(A,k5_cat_1(A,B),C)))) & B = k3_cat_1(A,k5_cat_1(A,B)))) & (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (k2_cat_1(A,D) = k3_cat_1(A,C) & k3_cat_1(A,B) = k2_cat_1(A,C) -> k4_cat_1(A,k4_cat_1(A,B,C),D) = k4_cat_1(A,B,k4_cat_1(A,C,D))))))))) & (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (r2_hidden(k4_tarski(C,B),k1_relat_1(u5_cat_1(A))) <-> k3_cat_1(A,B) = k2_cat_1(A,C)))))) -> v2_cat_1(A)))) # label(t29_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6287 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_cat_1(F,A,B,C) -> (all G (m1_cat_1(G,A,C,D) -> (all H (m1_cat_1(H,A,D,E) -> -(k9_cat_1(A,B,D,E,k9_cat_1(A,B,C,D,F,G),H) != k9_cat_1(A,B,C,E,F,k9_cat_1(A,C,D,E,G,H)) & k1_xboole_0 != k6_cat_1(A,D,E) & k6_cat_1(A,C,D) != k1_xboole_0 & k1_xboole_0 != k6_cat_1(A,B,C)))))))))))))))))) # label(t54_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6288 $T # label(t53_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6289 $T # label(t10_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6290 (all A all B all C (m1_subset_1(B,u1_cat_1(A)) & m1_subset_1(C,u1_cat_1(A)) & l1_cat_1(A) -> (exists D m1_cat_1(D,A,B,C)))) # label(existence_m1_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6291 (all A (l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (r2_hidden(D,k6_cat_1(A,B,C)) -> m1_cat_1(D,A,B,C))))))))) # label(t21_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6292 $T # label(t3_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6293 $T # label(t1_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6294 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (k6_cat_1(A,D,E) != k1_xboole_0 -> (all F (m1_cat_1(F,A,D,E) -> m1_cat_1(k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,F),B,k13_cat_1(A,B,C,D),k13_cat_1(A,B,C,E))))))))))))))) # label(t125_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6295 (all A all B m1_subset_1(A,u1_cat_1(k8_cat_1(A,B)))) # label(t32_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6296 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_cat_1(D,A,B,C) -> (v6_cat_1(B,A) -> v3_cat_1(D,A) | k1_xboole_0 = k6_cat_1(A,B,C)))))))))) # label(t90_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6297 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> (k10_cat_1(B,E) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,D)) -> k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),D) = E))))))))))) # label(t103_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6298 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),k2_cat_1(A,D)) = k2_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D)) & k3_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D)) = k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),k3_cat_1(A,D)))))))))) # label(t105_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6299 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (v3_cat_1(B,A) <-> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (k4_cat_1(A,C,B) = k4_cat_1(A,D,B) & k2_cat_1(A,B) = k3_cat_1(A,D) & k2_cat_1(A,B) = k3_cat_1(A,C) & k2_cat_1(A,D) = k2_cat_1(A,C) -> C = D)))))))))) # label(d10_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6300 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (r1_cat_1(A,B,C) & v7_cat_1(B,A) -> v7_cat_1(C,A)))))))) # label(t85_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6301 $T # label(t30_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6302 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (v6_cat_1(B,A) <-> (all C (m1_subset_1(C,u1_cat_1(A)) -> (exists D (m1_cat_1(D,A,C,B) & k1_tarski(D) = k6_cat_1(A,C,B)))))))))) # label(t86_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6303 (exists A (v2_cat_1(A) & l1_cat_1(A))) # label(rc2_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6304 (all A (l1_cat_1(A) & v2_cat_1(A) -> k6_partfun1(u1_cat_1(A)) = k12_cat_1(A,A,k15_cat_1(A)))) # label(t117_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6305 (all A (l1_cat_1(A) -> -v1_xboole_0(u1_cat_1(A)))) # label(dt_u1_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6306 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> v4_cat_1(k10_cat_1(A,B),A))))) # label(t69_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6307 (all A (l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_cat_1(D,A,B,C) -> (k1_xboole_0 != k6_cat_1(A,B,C) -> k3_cat_1(A,D) = C & B = k2_cat_1(A,D)))))))))) # label(t23_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6308 (all A all B (m1_subset_1(B,u1_cat_1(A)) & l1_cat_1(A) -> m1_subset_1(k5_cat_1(A,B),u2_cat_1(A)))) # label(dt_k5_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6309 (exists A (v1_cat_1(A) & l1_cat_1(A))) # label(rc1_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6310 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (k5_cat_1(A,C) = k5_cat_1(A,B) -> B = C))))))) # label(t45_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6311 (all A (l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> k8_funct_2(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),B) = k2_cat_1(A,B))))) # label(d2_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6312 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> k13_cat_1(A,B,C,k2_cat_1(A,D)) = k2_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D)) & k13_cat_1(A,B,C,k3_cat_1(A,D)) = k3_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D)))))))))) # label(t109_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6313 (all A all B (v1_funct_2(k7_cat_1(A,B),k1_tarski(A),k1_tarski(B)) & m2_relset_1(k7_cat_1(A,B),k1_tarski(A),k1_tarski(B)) & v1_funct_1(k7_cat_1(A,B)))) # label(dt_k7_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6314 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> ((all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (k3_cat_1(A,B) = k2_cat_1(A,C) & k2_cat_1(A,D) = k3_cat_1(A,B) & k4_cat_1(A,B,C) = k4_cat_1(A,B,D) & k3_cat_1(A,C) = k3_cat_1(A,D) -> D = C))))) <-> v4_cat_1(B,A)))))) # label(d11_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6315 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (k2_relat_1(C) = u2_cat_1(B) & u1_cat_1(B) = k2_relat_1(k12_cat_1(A,B,C)) & v2_funct_1(C) <-> v8_cat_1(C,A,B)))))))) # label(d22_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6316 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_cat_1(D,A,B,C) -> (all E (m1_cat_1(E,A,C,B) -> (k10_cat_1(A,C) = k9_cat_1(A,C,B,C,E,D) -> v3_cat_1(E,A) | k6_cat_1(A,C,B) = k1_xboole_0 | k6_cat_1(A,B,C) = k1_xboole_0))))))))))) # label(t63_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6317 (all A (l1_cat_1(A) -> v1_funct_2(u3_cat_1(A),u2_cat_1(A),u1_cat_1(A)) & m2_relset_1(u3_cat_1(A),u2_cat_1(A),u1_cat_1(A)) & v1_funct_1(u3_cat_1(A)))) # label(dt_u3_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6318 (all A all B all C all D all E (v2_cat_1(B) & l1_cat_1(B) & m1_subset_1(E,u1_cat_1(A)) & m1_subset_1(D,u1_cat_1(A)) & m2_cat_1(C,A,B) & l1_cat_1(A) & v2_cat_1(A) -> v1_funct_2(k16_cat_1(A,B,C,D,E),k6_cat_1(A,D,E),k6_cat_1(B,k13_cat_1(A,B,C,D),k13_cat_1(A,B,C,E))) & m2_relset_1(k16_cat_1(A,B,C,D,E),k6_cat_1(A,D,E),k6_cat_1(B,k13_cat_1(A,B,C,D),k13_cat_1(A,B,C,E))) & v1_funct_1(k16_cat_1(A,B,C,D,E)))) # label(dt_k16_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6319 (all A (l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_cat_1(D,A,B,C) -> (k1_tarski(D) = k6_cat_1(A,B,C) -> (all E (m1_cat_1(E,A,B,C) -> E = D))))))))))) # label(t25_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6320 (all A (l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (k1_xboole_0 != k6_cat_1(A,B,C) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (r2_hidden(D,k6_cat_1(A,B,C)) <-> m1_cat_1(D,A,B,C))))))))))) # label(d7_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6321 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (v7_cat_1(B,A) -> (all C (m1_cat_1(C,A,B,B) -> k10_cat_1(A,B) = C))))))) # label(t83_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6322 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> B = k8_funct_2(u2_cat_1(A),u2_cat_1(A),k15_cat_1(A),B))))) # label(t115_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6323 (all A all B all C all D all E (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & m2_cat_1(E,B,C) & m2_cat_1(D,A,B) & l1_cat_1(C) & v2_cat_1(C) & l1_cat_1(B) -> k5_relat_1(D,E) = k14_cat_1(A,B,C,D,E))) # label(redefinition_k14_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6324 (exists A l1_cat_1(A)) # label(existence_l1_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6325 (all A (l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> k3_cat_1(A,B) = k8_funct_2(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),B))))) # label(d3_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6326 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (v9_cat_1(C,A,B) <-> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (k1_xboole_0 != k6_cat_1(B,k13_cat_1(A,B,C,D),k13_cat_1(A,B,C,E)) -> (all F (m1_cat_1(F,B,k13_cat_1(A,B,C,D),k13_cat_1(A,B,C,E)) -> k1_xboole_0 != k6_cat_1(A,D,E) & (exists G (m1_cat_1(G,A,D,E) & k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,G) = F)))))))))))))))) # label(d23_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6327 $T # label(t78_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6328 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (k6_cat_1(A,D,E) != k1_xboole_0 -> (all F (m1_cat_1(F,A,D,E) -> k1_funct_1(k16_cat_1(A,B,C,D,E),F) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,F)))))))))))))) # label(t131_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6329 $T # label(t80_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6330 (all A all B all C (m1_subset_1(C,u1_cat_1(k8_cat_1(A,B))) -> (all D (m1_subset_1(D,u1_cat_1(k8_cat_1(A,B))) -> (all E (m1_subset_1(E,u2_cat_1(k8_cat_1(A,B))) -> r2_hidden(E,k6_cat_1(k8_cat_1(A,B),C,D)))))))) # label(t36_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6331 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> ((all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (k6_cat_1(A,D,E) != k1_xboole_0 -> (all F (m1_cat_1(F,A,D,E) -> (all G (m1_cat_1(G,A,D,E) -> (k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,G) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,F) -> G = F)))))))))) <-> v10_cat_1(C,A,B)))))))) # label(d24_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6332 $T # label(t101_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6333 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_cat_1(D,A,B,C) -> (k6_cat_1(A,B,C) != k1_xboole_0 -> ((all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_cat_1(F,A,C,E) -> (all G (m1_cat_1(G,A,C,E) -> (k9_cat_1(A,B,C,E,D,F) = k9_cat_1(A,B,C,E,D,G) -> F = G | k6_cat_1(A,C,E) = k1_xboole_0))))))) <-> v4_cat_1(D,A))))))))))) # label(t65_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6334 (all A all B all C (m1_subset_1(C,u1_cat_1(k8_cat_1(A,B))) -> (all D (m1_subset_1(D,u1_cat_1(k8_cat_1(A,B))) -> (all E (m1_subset_1(E,u1_cat_1(k8_cat_1(A,B))) -> (all F (m1_subset_1(F,u1_cat_1(k8_cat_1(A,B))) -> (all G (m1_cat_1(G,k8_cat_1(A,B),C,D) -> (all H (m1_cat_1(H,k8_cat_1(A,B),E,F) -> H = G)))))))))))) # label(t39_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6335 $T # label(t120_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6336 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,B,C) -> (v10_cat_1(E,B,C) & v10_cat_1(D,A,B) -> v10_cat_1(k14_cat_1(A,B,C,D,E),A,C)))))))))))) # label(t128_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6337 $T # label(dt_l1_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6338 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> ((exists C (m1_subset_1(C,u2_cat_1(A)) & k4_cat_1(A,B,C) = k5_cat_1(A,k2_cat_1(A,B)) & k4_cat_1(A,C,B) = k5_cat_1(A,k3_cat_1(A,B)) & k2_cat_1(A,B) = k3_cat_1(A,C) & k2_cat_1(A,C) = k3_cat_1(A,B))) <-> v5_cat_1(B,A)))))) # label(d12_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6339 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (k2_cat_1(A,B) = k3_cat_1(A,C) <-> r2_hidden(k4_tarski(B,C),k1_relat_1(u5_cat_1(A)))))))))) # label(t40_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6340 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_cat_1(D,A,B,C) -> (k1_xboole_0 != k6_cat_1(A,B,C) -> (v5_cat_1(D,A) <-> k1_xboole_0 != k6_cat_1(A,C,B) & (exists E (m1_cat_1(E,A,C,B) & k10_cat_1(A,C) = k9_cat_1(A,C,B,C,E,D) & k10_cat_1(A,B) = k9_cat_1(A,B,C,B,D,E))))))))))))) # label(t70_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6341 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (v7_cat_1(B,A) <-> (all C (m1_subset_1(C,u1_cat_1(A)) -> k6_cat_1(A,B,C) != k1_xboole_0 & (exists D ((all E (m1_cat_1(E,A,B,C) -> E = D)) & m1_cat_1(D,A,B,C)))))))))) # label(d16_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.68	6342 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_cat_1(D,A,B,C) -> (v5_cat_1(D,A) -> v5_cat_1(k11_cat_1(A,B,C,D),A) | k1_xboole_0 = k6_cat_1(A,B,C)))))))))) # label(t76_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6343 (all A (l1_cat_1(A) -> m2_relset_1(u5_cat_1(A),k2_zfmisc_1(u2_cat_1(A),u2_cat_1(A)),u2_cat_1(A)) & v1_funct_1(u5_cat_1(A)))) # label(dt_u5_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6344 (all A (v2_cat_1(A) & l1_cat_1(A) -> k15_cat_1(A) = k6_partfun1(u2_cat_1(A)))) # label(d21_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6345 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> k16_cat_1(A,B,C,D,E) = k2_partfun1(u2_cat_1(A),u2_cat_1(B),C,k6_cat_1(A,D,E)))))))))))) # label(d25_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6346 (all A all B (m1_subset_1(B,u2_cat_1(A)) & l1_cat_1(A) -> m1_subset_1(k2_cat_1(A,B),u1_cat_1(A)))) # label(dt_k2_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6347 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> v5_cat_1(k10_cat_1(A,B),A))))) # label(t74_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6348 (all A (l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (k3_cat_1(A,D) = C & B = k2_cat_1(A,D) <-> r2_hidden(D,k6_cat_1(A,B,C))))))))))) # label(t18_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6349 (all A (l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> k8_funct_2(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B) = k5_cat_1(A,B))))) # label(d5_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6350 (all A all B (v1_cat_1(k8_cat_1(A,B)) & v2_cat_1(k8_cat_1(A,B)) & l1_cat_1(k8_cat_1(A,B)))) # label(dt_k8_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6351 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,B,C) -> (v9_cat_1(E,B,C) & v9_cat_1(D,A,B) -> v9_cat_1(k14_cat_1(A,B,C,D,E),A,C)))))))))))) # label(t127_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6352 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (k3_cat_1(A,B) = k2_cat_1(A,C) -> k2_cat_1(A,k4_cat_1(A,B,C)) = k2_cat_1(A,B) & k3_cat_1(A,C) = k3_cat_1(A,k4_cat_1(A,B,C))))))))) # label(t42_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6353 (all A all B all C (l1_cat_1(A) & m1_subset_1(C,u2_cat_1(A)) & m1_subset_1(B,u2_cat_1(A)) -> m1_subset_1(k4_cat_1(A,B,C),u2_cat_1(A)))) # label(dt_k4_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6354 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (v6_cat_1(B,A) & v6_cat_1(C,A) -> r1_cat_1(A,B,C)))))))) # label(t88_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6355 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_cat_1(D,A,B,C) -> (v5_cat_1(D,A) -> k6_cat_1(A,B,C) = k1_xboole_0 | (all E (m1_cat_1(E,A,C,B) -> (E = k11_cat_1(A,B,C,D) <-> k10_cat_1(A,C) = k9_cat_1(A,C,B,C,E,D) & k10_cat_1(A,B) = k9_cat_1(A,B,C,B,D,E))))))))))))) # label(d14_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6356 $T # label(t31_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6357 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (k6_cat_1(A,D,E) != k1_xboole_0 -> (all F (m1_cat_1(F,A,D,E) -> r2_hidden(k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,F),k6_cat_1(B,k13_cat_1(A,B,C,D),k13_cat_1(A,B,C,E)))))))))))))))) # label(t124_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6358 (all A all B all C (v1_funct_1(k1_cat_1(A,B,C)) & m2_relset_1(k1_cat_1(A,B,C),k2_zfmisc_1(k1_tarski(A),k1_tarski(B)),k1_tarski(C)))) # label(dt_k1_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6359 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,B,C) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> k8_funct_2(u1_cat_1(A),u1_cat_1(C),k12_cat_1(A,C,k14_cat_1(A,B,C,D,E)),F) = k8_funct_2(u1_cat_1(B),u1_cat_1(C),k12_cat_1(B,C,E),k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,D),F)))))))))))))) # label(t112_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6360 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_cat_1(E,A,B,C) -> (all F (m1_cat_1(F,A,C,D) -> (v4_cat_1(F,A) & v4_cat_1(E,A) -> k6_cat_1(A,B,C) = k1_xboole_0 | v4_cat_1(k9_cat_1(A,B,C,D,E,F),A) | k6_cat_1(A,C,D) = k1_xboole_0))))))))))))) # label(t66_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6361 (all A all B k3_cqc_lang(A,B) = k7_cat_1(A,B)) # label(redefinition_k7_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6362 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> k10_cat_1(B,k13_cat_1(A,B,C,D)) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,D)))))))))) # label(t108_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6363 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_cat_1(E,A,B,C) -> (all F (m1_cat_1(F,A,C,D) -> -(k1_xboole_0 != k6_cat_1(A,B,C) & k1_xboole_0 != k6_cat_1(A,C,D) & k4_cat_1(A,E,F) != k9_cat_1(A,B,C,D,E,F)))))))))))))) # label(d13_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6364 $T # label(t94_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6365 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_1(C) -> ((all D (m1_subset_1(D,u1_cat_1(A)) -> (exists E (k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k8_funct_2(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),D)) = k8_funct_2(u1_cat_1(B),u2_cat_1(B),u6_cat_1(B),E) & m1_subset_1(E,u1_cat_1(B)))))) -> (all D (m2_relset_1(D,u1_cat_1(A),u1_cat_1(B)) & v1_funct_2(D,u1_cat_1(A),u1_cat_1(B)) & v1_funct_1(D) -> (k12_cat_1(A,B,C) = D <-> (all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_subset_1(F,u1_cat_1(B)) -> (k8_funct_2(u1_cat_1(B),u2_cat_1(B),u6_cat_1(B),F) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k8_funct_2(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),E)) -> k8_funct_2(u1_cat_1(A),u1_cat_1(B),D,E) = F))))))))))))))) # label(d19_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6366 (exists A (v2_cat_1(A) & v1_cat_1(A) & l1_cat_1(A))) # label(rc3_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6367 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_cat_1(D,A,B,C) -> (v5_cat_1(D,A) -> v4_cat_1(D,A) & v3_cat_1(D,A) | k1_xboole_0 = k6_cat_1(A,B,C)))))))))) # label(t73_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6368 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> ((all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> k2_relat_1(k16_cat_1(A,B,C,D,E)) = k6_cat_1(B,k13_cat_1(A,B,C,D),k13_cat_1(A,B,C,E)))))) <-> v9_cat_1(C,A,B)))))))) # label(t132_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6369 $T # label(t114_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6370 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (k2_cat_1(A,D) = k3_cat_1(A,C) & k2_cat_1(A,C) = k3_cat_1(A,B) -> k4_cat_1(A,k4_cat_1(A,B,C),D) = k4_cat_1(A,B,k4_cat_1(A,C,D))))))))))) # label(t43_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6371 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (B = k2_cat_1(A,C) -> k4_cat_1(A,k5_cat_1(A,B),C) = C))))))) # label(t47_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6372 (all A (l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> k6_cat_1(A,k2_cat_1(A,B),k3_cat_1(A,B)) != k1_xboole_0)))) # label(t19_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6373 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (exists E (m1_subset_1(E,u1_cat_1(B)) & k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,D)) = k10_cat_1(B,E))))))))))) # label(t97_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6374 $T # label(t130_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6375 (all A (l1_cat_1(A) -> m2_relset_1(u6_cat_1(A),u1_cat_1(A),u2_cat_1(A)) & v1_funct_2(u6_cat_1(A),u1_cat_1(A),u2_cat_1(A)) & v1_funct_1(u6_cat_1(A)))) # label(dt_u6_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6376 (all A all B g1_cat_1(k1_tarski(A),k1_tarski(B),k7_cat_1(B,A),k7_cat_1(B,A),k1_cat_1(B,B,B),k7_cat_1(A,B)) = k8_cat_1(A,B)) # label(d9_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6377 (all A all B all C (m1_relset_1(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_1(C) & l1_cat_1(B) & v2_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> v1_funct_1(k12_cat_1(A,B,C)) & v1_funct_2(k12_cat_1(A,B,C),u1_cat_1(A),u1_cat_1(B)) & m2_relset_1(k12_cat_1(A,B,C),u1_cat_1(A),u1_cat_1(B)))) # label(dt_k12_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6378 (all A all B all C (m1_subset_1(B,u1_cat_1(A)) & m1_subset_1(C,u1_cat_1(A)) & l1_cat_1(A) -> m1_subset_1(k6_cat_1(A,B,C),k1_zfmisc_1(u2_cat_1(A))))) # label(dt_k6_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6379 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_cat_1(D,A,B,C) -> (k6_cat_1(A,B,C) != k1_xboole_0 -> k9_cat_1(A,B,B,C,k10_cat_1(A,B),D) = D))))))))) # label(t58_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6380 (all A (l1_cat_1(A) & v2_cat_1(A) -> v8_cat_1(k15_cat_1(A),A,A))) # label(t122_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6381 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) -> ((all D (m1_subset_1(D,u1_cat_1(A)) -> (exists E (k8_funct_2(u1_cat_1(B),u2_cat_1(B),u6_cat_1(B),E) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k8_funct_2(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),D)) & m1_subset_1(E,u1_cat_1(B)))))) & (all D (m1_subset_1(D,u2_cat_1(A)) -> k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k8_funct_2(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),k8_funct_2(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),D))) = k8_funct_2(u1_cat_1(B),u2_cat_1(B),u6_cat_1(B),k8_funct_2(u2_cat_1(B),u1_cat_1(B),u3_cat_1(B),k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D))) & k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k8_funct_2(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),k8_funct_2(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),D))) = k8_funct_2(u1_cat_1(B),u2_cat_1(B),u6_cat_1(B),k8_funct_2(u2_cat_1(B),u1_cat_1(B),u4_cat_1(B),k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D))))) & (all D (m1_subset_1(D,u2_cat_1(A)) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> (r2_hidden(k4_tarski(E,D),k1_relat_1(u5_cat_1(A))) -> k1_funct_1(u5_cat_1(B),k4_tarski(k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,E),k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D))) = k1_funct_1(C,k1_funct_1(u5_cat_1(A),k4_tarski(E,D)))))))) <-> m2_cat_1(C,A,B)))))))) # label(d18_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6382 $T # label(t11_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6383 (all A all B all C (m1_subset_1(C,u1_cat_1(k8_cat_1(A,B))) -> A = C)) # label(t34_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6384 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> r1_cat_1(A,B,B))))) # label(t91_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.15/15.69	6385 (all A all B m1_subset_1(A,u2_cat_1(k8_cat_1(B,A)))) # label(t33_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6386 (all A all B all C (m1_subset_1(C,u1_cat_1(k8_cat_1(A,B))) -> (all D (m1_subset_1(D,u1_cat_1(k8_cat_1(A,B))) -> (all E (m1_subset_1(E,u2_cat_1(k8_cat_1(A,B))) -> m1_cat_1(E,k8_cat_1(A,B),C,D))))))) # label(t37_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6387 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> k13_cat_1(A,B,C,D) = k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),D))))))))) # label(d20_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6388 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> k10_cat_1(B,k2_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D))) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,k2_cat_1(A,D))) & k10_cat_1(B,k3_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D))) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,k3_cat_1(A,D))))))))))) # label(t98_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6389 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> r1_tarski(k2_funct_2(u2_cat_1(A),u2_cat_1(B),C,k6_cat_1(A,D,E)),k6_cat_1(B,k13_cat_1(A,B,C,D),k13_cat_1(A,B,C,E))))))))))))) # label(t129_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6390 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> B = k13_cat_1(A,A,k15_cat_1(A),B))))) # label(t118_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6391 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (r2_hidden(F,k6_cat_1(A,D,E)) -> r2_hidden(k1_funct_1(C,F),k6_cat_1(B,k13_cat_1(A,B,C,D),k13_cat_1(A,B,C,E))))))))))))))) # label(t123_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6392 $T # label(t20_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6393 (all A (l1_cat_1(A) & v2_cat_1(A) -> m2_cat_1(k15_cat_1(A),A,A))) # label(dt_k15_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6394 $T # label(t28_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6395 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_cat_1(D,A,B,C) -> (k6_cat_1(A,B,C) != k1_xboole_0 -> (v3_cat_1(D,A) <-> (all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_cat_1(F,A,E,B) -> (all G (m1_cat_1(G,A,E,B) -> (k9_cat_1(A,E,B,C,F,D) = k9_cat_1(A,E,B,C,G,D) -> k1_xboole_0 = k6_cat_1(A,E,B) | G = F))))))))))))))))) # label(t60_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6396 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (k2_cat_1(A,B) = k3_cat_1(A,C) -> k1_funct_1(u5_cat_1(A),k4_tarski(B,C)) = k4_cat_1(A,C,B)))))))) # label(t41_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6397 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> ((exists D (v5_cat_1(D,A) & m1_cat_1(D,A,B,C))) & k1_xboole_0 != k6_cat_1(A,B,C) <-> r1_cat_1(A,B,C)))))))) # label(d17_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6398 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> B = k3_cat_1(A,k5_cat_1(A,B)) & k2_cat_1(A,k5_cat_1(A,B)) = B)))) # label(t44_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6399 $T # label(t6_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6400 (all A all B all C all D (v2_cat_1(A) & m1_cat_1(D,A,B,C) & m1_subset_1(C,u1_cat_1(A)) & m1_subset_1(B,u1_cat_1(A)) & l1_cat_1(A) -> m1_cat_1(k11_cat_1(A,B,C,D),A,C,B))) # label(dt_k11_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6401 (all A (l1_cat_1(A) -> (v2_cat_1(A) <-> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (k8_funct_2(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),C) = B -> C = k1_funct_1(u5_cat_1(A),k4_tarski(C,k8_funct_2(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B)))))) & (all C (m1_subset_1(C,u2_cat_1(A)) -> (B = k8_funct_2(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),C) -> C = k1_funct_1(u5_cat_1(A),k4_tarski(k8_funct_2(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B),C))))) & k8_funct_2(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),k8_funct_2(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B)) = B & B = k8_funct_2(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),k8_funct_2(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B)))) & (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (k8_funct_2(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),B) = k8_funct_2(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),C) & k8_funct_2(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),D) = k8_funct_2(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),C) -> k1_funct_1(u5_cat_1(A),k4_tarski(D,k1_funct_1(u5_cat_1(A),k4_tarski(C,B)))) = k1_funct_1(u5_cat_1(A),k4_tarski(k1_funct_1(u5_cat_1(A),k4_tarski(D,C)),B))))))))) & (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (k8_funct_2(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),B) = k8_funct_2(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),C) -> k1_funct_1(u3_cat_1(A),k1_funct_1(u5_cat_1(A),k4_tarski(C,B))) = k8_funct_2(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),B) & k1_funct_1(u4_cat_1(A),k1_funct_1(u5_cat_1(A),k4_tarski(C,B))) = k8_funct_2(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),C)))))) & (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (k8_funct_2(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),B) = k8_funct_2(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),C) <-> r2_hidden(k4_tarski(C,B),k1_relat_1(u5_cat_1(A))))))))))) # label(d8_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6402 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) -> (all D (v1_funct_1(D) & v1_funct_2(D,u1_cat_1(A),u1_cat_1(B)) & m2_relset_1(D,u1_cat_1(A),u1_cat_1(B)) -> ((all E (m1_subset_1(E,u1_cat_1(A)) -> k10_cat_1(B,k8_funct_2(u1_cat_1(A),u1_cat_1(B),D,E)) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,E)))) & (all E (m1_subset_1(E,u2_cat_1(A)) -> k2_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,E)) = k8_funct_2(u1_cat_1(A),u1_cat_1(B),D,k2_cat_1(A,E)) & k3_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,E)) = k8_funct_2(u1_cat_1(A),u1_cat_1(B),D,k3_cat_1(A,E)))) & (all E (m1_subset_1(E,u2_cat_1(A)) -> (all F (m1_subset_1(F,u2_cat_1(A)) -> (k2_cat_1(A,F) = k3_cat_1(A,E) -> k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k4_cat_1(A,E,F)) = k4_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,E),k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,F))))))) -> m2_cat_1(C,A,B)))))))))) # label(t100_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6403 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (v6_cat_1(B,A) & r1_cat_1(A,C,B) -> v6_cat_1(C,A)))))))) # label(t89_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6404 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) -> ((all D (m1_subset_1(D,u1_cat_1(A)) -> (exists E (k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,D)) = k10_cat_1(B,E) & m1_subset_1(E,u1_cat_1(B)))))) & (all D (m1_subset_1(D,u2_cat_1(A)) -> k10_cat_1(B,k3_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D))) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,k3_cat_1(A,D))) & k10_cat_1(B,k2_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D))) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,k2_cat_1(A,D))))) & (all D (m1_subset_1(D,u2_cat_1(A)) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> (k3_cat_1(A,D) = k2_cat_1(A,E) -> k4_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D),k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,E)) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k4_cat_1(A,D,E))))))) -> m2_cat_1(C,A,B)))))))) # label(t96_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6405 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (r1_cat_1(A,C,D) & r1_cat_1(A,B,C) -> r1_cat_1(A,B,D)))))))))) # label(t93_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6406 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> (k10_cat_1(B,E) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,D)) -> E = k13_cat_1(A,B,C,D)))))))))))) # label(t107_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6407 (all A all B (v2_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & l1_cat_1(A) -> (exists C m2_cat_1(C,A,B)))) # label(existence_m2_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6408 $T # label(t15_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6409 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> ((all C (m1_subset_1(C,u1_cat_1(A)) -> (exists D (m1_cat_1(D,A,B,C) & k1_tarski(D) = k6_cat_1(A,B,C))))) <-> v7_cat_1(B,A)))))) # label(t82_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6410 (all A all B (m1_subset_1(B,u1_cat_1(A)) & l1_cat_1(A) & v2_cat_1(A) -> k5_cat_1(A,B) = k10_cat_1(A,B))) # label(redefinition_k10_cat_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6411 (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].
16.44/15.92	6412 $T # label(t37_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6413 $T # label(t10_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6414 (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].
16.44/15.92	6415 (exists A (v2_lattices(A) & l2_lattices(A))) # label(rc2_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6416 $T # label(t36_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6417 (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].
16.44/15.92	6418 (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].
16.44/15.92	6419 (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].
16.44/15.92	6420 $T # label(t8_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6421 (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].
16.44/15.92	6422 (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].
16.44/15.92	6423 (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].
16.44/15.92	6424 (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].
16.44/15.92	6425 (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].
16.44/15.92	6426 (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].
16.44/15.92	6427 (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].
16.44/15.92	6428 (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].
16.44/15.92	6429 (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].
16.44/15.92	6430 (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].
16.44/15.92	6431 $T # label(t12_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6432 (exists A l1_lattices(A)) # label(existence_l1_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6433 (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].
16.44/15.92	6434 (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].
16.44/15.92	6435 (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].
16.44/15.92	6436 (all A (l2_lattices(A) -> l1_struct_0(A))) # label(dt_l2_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6437 (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].
16.44/15.92	6438 $T # label(t35_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6439 (exists A (v3_lattices(A) & -v3_struct_0(A) & l3_lattices(A))) # label(rc6_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6440 $T # label(t33_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6441 (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].
16.44/15.92	6442 (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].
16.44/15.92	6443 (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].
16.44/15.92	6444 (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].
16.44/15.92	6445 $T # label(t15_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6446 (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].
16.44/15.92	6447 (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].
16.44/15.92	6448 $T # label(t30_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6449 (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].
16.44/15.92	6450 (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].
16.44/15.92	6451 (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].
16.44/15.92	6452 $T # label(t3_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6453 (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].
16.44/15.92	6454 (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].
16.44/15.92	6455 (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].
16.44/15.92	6456 (exists A l3_lattices(A)) # label(existence_l3_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6457 (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].
16.44/15.92	6458 (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].
16.44/15.92	6459 (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].
16.44/15.92	6460 (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].
16.44/15.92	6461 (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].
16.44/15.92	6462 $T # label(t1_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6463 (exists A (l1_lattices(A) & -v3_struct_0(A) & v1_lattices(A))) # label(rc5_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6464 (all A (l1_lattices(A) -> l1_struct_0(A))) # label(dt_l1_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6465 $T # label(t38_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6466 (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].
16.44/15.92	6467 (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].
16.44/15.92	6468 (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].
16.44/15.92	6469 (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].
16.44/15.92	6470 (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].
16.44/15.92	6471 $T # label(t5_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6472 (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].
16.44/15.92	6473 (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].
16.44/15.92	6474 (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].
16.44/15.92	6475 $T # label(t14_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.92	6476 (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].
16.44/15.92	6477 (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].
16.44/15.92	6478 (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].
16.44/15.93	6479 (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].
16.44/15.93	6480 $T # label(t11_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6481 $T # label(t24_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6482 (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].
16.44/15.93	6483 (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].
16.44/15.93	6484 $T # label(t42_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6485 (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].
16.44/15.93	6486 (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].
16.44/15.93	6487 (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].
16.44/15.93	6488 (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].
16.44/15.93	6489 (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].
16.44/15.93	6490 (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].
16.44/15.93	6491 (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].
16.44/15.93	6492 $T # label(t9_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6493 $T # label(t4_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6494 (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].
16.44/15.93	6495 (all A (l3_lattices(A) -> l1_lattices(A) & l2_lattices(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6496 (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].
16.44/15.93	6497 (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].
16.44/15.93	6498 (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].
16.44/15.93	6499 $T # label(t7_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6500 $T # label(t13_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6501 $T # label(t2_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6502 (exists A l2_lattices(A)) # label(existence_l2_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6503 (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].
16.44/15.93	6504 $T # label(t6_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6505 (exists A (v3_lattices(A) & l3_lattices(A))) # label(rc3_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6506 (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].
16.44/15.93	6507 (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].
16.44/15.93	6508 $T # label(t20_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6509 (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].
16.44/15.93	6510 (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].
16.44/15.93	6511 (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].
16.44/15.93	6512 (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].
16.44/15.93	6513 (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].
16.44/15.93	6514 $T # label(t16_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6515 (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].
16.44/15.93	6516 (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].
16.44/15.93	6517 (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].
16.44/15.93	6518 (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].
16.44/15.93	6519 (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].
16.44/15.93	6520 (exists A (l1_lattices(A) & v1_lattices(A))) # label(rc1_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6521 (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].
16.44/15.93	6522 (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].
16.44/15.93	6523 (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].
16.44/15.93	6524 (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].
16.44/15.93	6525 (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].
16.44/15.93	6526 (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].
16.44/15.93	6527 $T # label(t28_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6528 (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].
16.44/15.93	6529 (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].
16.44/15.93	6530 (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].
16.44/15.93	6531 (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].
16.44/15.93	6532 (exists A (l2_lattices(A) & v2_lattices(A) & -v3_struct_0(A))) # label(rc4_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6533 (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].
16.44/15.93	6534 $T # label(t46_lattices) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6535 (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].
16.44/15.93	6536 (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].
16.44/15.93	6537 (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].
16.44/15.93	6538 (all A (l1_struct_0(A) -> m1_subset_1(k1_pre_topc(A),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k1_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6539 (all A (l1_pre_topc(A) -> (exists B m1_pre_topc(B,A)))) # label(existence_m1_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6540 (all A (l1_pre_topc(A) -> (v1_pre_topc(A) -> g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = A))) # label(abstractness_v1_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6541 $T # label(t37_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6542 $T # label(t36_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6543 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all 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))) -> k6_pre_topc(A,k4_subset_1(u1_struct_0(A),B,C)) = k4_subset_1(u1_struct_0(A),k6_pre_topc(A,B),k6_pre_topc(A,C)))))))) # label(t50_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6544 (exists A (v2_pre_topc(A) & v1_pre_topc(A) & -v3_struct_0(A) & l1_pre_topc(A))) # label(rc2_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6545 $T # label(t34_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6546 (all A (l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (r1_pre_topc(A,B) <-> k2_pre_topc(A) = k5_setfam_1(u1_struct_0(A),B)))))) # label(d8_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6547 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) -> k6_subset_1(u1_struct_0(A),k2_pre_topc(A),B) = k6_pre_topc(A,k6_subset_1(u1_struct_0(A),k2_pre_topc(A),B))) & (k6_subset_1(u1_struct_0(A),k2_pre_topc(A),B) = k6_pre_topc(A,k6_subset_1(u1_struct_0(A),k2_pre_topc(A),B)) & v2_pre_topc(A) -> v3_pre_topc(B,A)))))) # label(t53_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6548 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -((all C (m1_subset_1(C,u1_struct_0(A)) -> -r2_hidden(C,B))) & B != k1_pre_topc(A)))))) # label(t41_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6549 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> l1_pre_topc(B))))) # label(dt_m1_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6550 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> v2_pre_topc(B))))) # label(cc1_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6551 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (C = D -> k3_xboole_0(k6_pre_topc(A,C),k2_pre_topc(B)) = k6_pre_topc(B,D)))))))))) # label(t47_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6552 (all A (l1_struct_0(A) -> k1_xboole_0 = k1_pre_topc(A))) # label(d2_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6553 (all A (l1_struct_0(A) -> (all B (r1_tarski(B,k2_pre_topc(A)) -> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(t16_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6554 (all A all B all C all D (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & l1_struct_0(B) & l1_struct_0(A) -> k9_relat_1(C,D) = k4_pre_topc(A,B,C,D))) # label(redefinition_k4_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6555 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))))))))) # label(t39_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6556 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> v4_pre_topc(k2_pre_topc(A),A))) # label(t42_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6557 (all A all B (v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> v1_pre_topc(k3_pre_topc(A,B)) & v2_pre_topc(k3_pre_topc(A,B)))) # label(fc4_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6558 $T # label(d4_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6559 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(B,A) -> k6_pre_topc(A,B) = B) & (k6_pre_topc(A,B) = B & v2_pre_topc(A) -> v4_pre_topc(B,A)))))) # label(t52_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6560 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (all C all D (g1_pre_topc(A,B) = g1_pre_topc(C,D) -> B = D & C = A)))) # label(free_g1_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6561 $T # label(t26_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6562 (all A (l1_struct_0(A) -> u1_struct_0(A) = k2_pre_topc(A))) # label(d3_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6563 (all A (l1_struct_0(A) -> m1_subset_1(k2_pre_topc(A),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k2_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6564 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (exists B (v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(rc6_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6565 (all A (l1_struct_0(A) -> (all 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))) -> (r1_xboole_0(B,C) & k4_subset_1(u1_struct_0(A),B,C) = k2_pre_topc(A) -> k6_subset_1(u1_struct_0(A),k2_pre_topc(A),B) = C))))))) # label(t25_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6566 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(B,k6_pre_topc(A,B)))))) # label(t48_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6567 $T # label(t33_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6568 $T # label(t2_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6569 (all A all B all C all D (l1_struct_0(A) & l1_struct_0(B) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> m1_subset_1(k4_pre_topc(A,B,C,D),k1_zfmisc_1(u1_struct_0(B))))) # label(dt_k4_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6570 (all A (l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k6_subset_1(u1_struct_0(A),k2_pre_topc(A),B) = k3_subset_1(u1_struct_0(A),B))))) # label(t17_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6571 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (r2_hidden(C,u1_struct_0(A)) -> (r2_hidden(C,k6_pre_topc(A,B)) <-> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(B,D) & v4_pre_topc(D,A) -> r2_hidden(C,D))))))))))) # label(t45_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6572 (all A all B all C all D (l1_struct_0(A) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) & l1_struct_0(B) -> m1_subset_1(k5_pre_topc(A,B,C,D),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k5_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6573 $T # label(d7_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6574 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(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) -> (v5_pre_topc(C,A,B) <-> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (v4_pre_topc(D,B) -> v4_pre_topc(k5_pre_topc(A,B,C,D),A))))))))))) # label(d12_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6575 $T # label(t3_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6576 $T # label(t31_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6577 $T # label(t7_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6578 (all A (l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k6_subset_1(u1_struct_0(A),k2_pre_topc(A),k6_subset_1(u1_struct_0(A),k2_pre_topc(A),B)) = B)))) # label(t22_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6579 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(C,B) -> v4_pre_topc(C,A)))) -> v4_pre_topc(k6_setfam_1(u1_struct_0(A),B),A)))))) # label(t44_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6580 (all A (l1_struct_0(A) -> (all 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))) -> (k6_subset_1(u1_struct_0(A),k2_pre_topc(A),B) = C -> k2_pre_topc(A) = k4_subset_1(u1_struct_0(A),B,C)))))))) # label(t24_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6581 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> v1_pre_topc(g1_pre_topc(A,B)) & l1_pre_topc(g1_pre_topc(A,B)))) # label(dt_g1_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6582 $T # label(t21_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6583 $T # label(t4_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6584 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) <-> r2_hidden(B,u1_pre_topc(A))))))) # label(d5_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6585 $T # label(t35_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6586 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (exists B (m1_pre_topc(B,A) & v1_pre_topc(B) & v2_pre_topc(B))))) # label(rc5_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6587 (all A all B all C all D (l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) -> k5_pre_topc(A,B,C,D) = k10_relat_1(C,D))) # label(redefinition_k5_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6588 (all A all B (l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> m1_subset_1(k6_pre_topc(A,B),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k6_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6589 $T # label(t9_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6590 $T # label(t19_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6591 (all A (l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k2_pre_topc(A) = k4_subset_1(u1_struct_0(A),B,k3_subset_1(u1_struct_0(A),B)))))) # label(t18_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6592 (exists A l1_pre_topc(A)) # label(existence_l1_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6593 (all A (l1_pre_topc(A) -> (v2_pre_topc(A) <-> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (r1_tarski(B,u1_pre_topc(A)) -> r2_hidden(k5_setfam_1(u1_struct_0(A),B),u1_pre_topc(A))))) & (all 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))) -> (r2_hidden(B,u1_pre_topc(A)) & r2_hidden(C,u1_pre_topc(A)) -> r2_hidden(k5_subset_1(u1_struct_0(A),B,C),u1_pre_topc(A))))))) & r2_hidden(u1_struct_0(A),u1_pre_topc(A))))) # label(d1_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6594 $T # label(d11_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6595 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (exists B (m1_pre_topc(B,A) & v1_pre_topc(B) & -v3_struct_0(B))))) # label(rc4_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6596 $T # label(t28_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6597 $T # label(t6_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6598 (all A (l1_pre_topc(A) -> (exists B (v1_pre_topc(B) & m1_pre_topc(B,A))))) # label(rc3_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6599 (all A (l1_pre_topc(A) -> (all 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))) -> r1_tarski(k6_pre_topc(A,k5_subset_1(u1_struct_0(A),B,C)),k5_subset_1(u1_struct_0(A),k6_pre_topc(A,B),k6_pre_topc(A,C))))))))) # label(t51_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6600 $T # label(t32_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6601 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) -> (m1_pre_topc(B,A) <-> r1_tarski(k2_pre_topc(B),k2_pre_topc(A)) & (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (r2_hidden(C,u1_pre_topc(B)) <-> (exists D (C = k3_xboole_0(D,k2_pre_topc(B)) & r2_hidden(D,u1_pre_topc(A)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))))))))))))) # label(d9_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6602 (all A all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(A) -> m1_pre_topc(k3_pre_topc(A,B),A) & v1_pre_topc(k3_pre_topc(A,B)))) # label(dt_k3_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6603 (all A (l1_pre_topc(A) -> m1_subset_1(u1_pre_topc(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) # label(dt_u1_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6604 $T # label(t8_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6605 $T # label(t20_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6606 (all A (l1_pre_topc(A) -> (all 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))) -> ((all D (r2_hidden(D,u1_struct_0(A)) -> ((all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(E,A) & r1_xboole_0(B,E) & r2_hidden(D,E)))) <-> r2_hidden(D,C)))) <-> C = k6_pre_topc(A,B)))))))) # label(d13_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6607 $T # label(t40_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6608 $T # label(t1_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6609 $T # label(t29_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6610 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (exists C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & k6_setfam_1(u1_struct_0(A),C) = k6_pre_topc(A,B) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(D,C) <-> v4_pre_topc(D,A) & r1_tarski(B,D)))))))))) # label(t46_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6611 (all A (-v3_struct_0(A) & l1_struct_0(A) -> -v1_xboole_0(k2_pre_topc(A)))) # label(fc2_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6612 (all A (l1_pre_topc(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,k1_zfmisc_1(u1_struct_0(A))) -> -(r2_hidden(C,D) & r1_xboole_0(B,D) & v3_pre_topc(D,A)))) & -v3_struct_0(A) <-> r2_hidden(C,k6_pre_topc(A,B))))))))) # label(t54_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6613 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> r2_hidden(k1_xboole_0,u1_pre_topc(A)))) # label(t5_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6614 $T # label(t38_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6615 (all A (l1_struct_0(A) -> v1_xboole_0(k1_pre_topc(A)) & v1_membered(k1_pre_topc(A)) & v5_membered(k1_pre_topc(A)) & v4_membered(k1_pre_topc(A)) & v3_membered(k1_pre_topc(A)) & v2_membered(k1_pre_topc(A)))) # label(fc1_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6616 $T # label(t11_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6617 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(k6_subset_1(u1_struct_0(A),k2_pre_topc(A),B),A) <-> v4_pre_topc(B,A)))))) # label(d6_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6618 (all A (l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(B,k2_pre_topc(A)))))) # label(t14_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6619 (all A (l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> B = k5_subset_1(u1_struct_0(A),B,k2_pre_topc(A)))))) # label(t15_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6620 (all A (l1_struct_0(A) -> k3_subset_1(u1_struct_0(A),k1_pre_topc(A)) = k2_pre_topc(A))) # label(t27_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6621 $T # label(t30_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6622 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> v4_pre_topc(k2_pre_topc(A),A))) # label(fc5_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6623 (all A all B (-v3_struct_0(A) & l1_pre_topc(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> v1_pre_topc(k3_pre_topc(A,B)) & -v3_struct_0(k3_pre_topc(A,B)))) # label(fc3_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6624 $T # label(t10_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6625 (exists A (v1_pre_topc(A) & l1_pre_topc(A))) # label(rc1_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6626 (all A (l1_pre_topc(A) -> (all 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))) -> (r1_tarski(B,C) -> r1_tarski(k6_pre_topc(A,B),k6_pre_topc(A,C))))))))) # label(t49_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6627 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (exists B (v4_pre_topc(B,A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(rc7_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6628 (all A (l1_struct_0(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r2_hidden(B,k2_pre_topc(A)))))) # label(t13_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6629 (all A (l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(k2_pre_topc(A) != B & k1_xboole_0 = k6_subset_1(u1_struct_0(A),k2_pre_topc(A),B)) & -(k6_subset_1(u1_struct_0(A),k2_pre_topc(A),B) != k1_xboole_0 & B = k2_pre_topc(A)))))) # label(t23_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6630 (all A (l1_struct_0(A) -> u1_struct_0(A) = k2_pre_topc(A))) # label(t12_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6631 (all A (l1_pre_topc(A) -> l1_struct_0(A))) # label(dt_l1_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6632 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_pre_topc(C,A) & v1_pre_topc(C) -> (B = k2_pre_topc(C) <-> C = k3_pre_topc(A,B)))))))) # label(d10_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6633 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> ((exists D (v4_pre_topc(D,A) & C = k3_xboole_0(D,k2_pre_topc(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))))) <-> v4_pre_topc(C,B)))))))) # label(t43_pre_topc) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6634 $T # label(t17_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6635 $T # label(t3_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6636 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_xboole_0(B) -> v3_tops_1(B,A)))))) # label(cc3_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6637 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> r1_xboole_0(k1_tops_1(A,B),k2_tops_1(A,B)))))) # label(t73_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6638 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v2_tops_1(B,A) <-> r1_tarski(B,k2_tops_1(A,B))))))) # label(t88_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6639 $T # label(t10_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6640 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> k2_pre_topc(A) = k1_tops_1(A,k2_pre_topc(A)))) # label(t43_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6641 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all 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_tops_1(B,A) & v1_tops_1(C,A) & v3_pre_topc(C,A) -> v1_tops_1(k5_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t82_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6642 (all A (l1_pre_topc(A) -> (all 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))) -> (r1_tarski(B,C) & v3_pre_topc(B,A) -> r1_tarski(B,k1_tops_1(A,C))))))))) # label(t56_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6643 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(B,A) -> r1_tarski(k2_tops_1(A,B),B)))))) # label(t69_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6644 $T # label(t7_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6645 $T # label(t9_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6646 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_tops_1(B,A) <-> r1_tarski(B,k6_pre_topc(A,k1_tops_1(A,B))) & r1_tarski(k1_tops_1(A,k6_pre_topc(A,B)),B)))))) # label(d6_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6647 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> v3_pre_topc(k1_tops_1(A,B),A))))) # label(t51_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6648 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> v4_pre_topc(k1_pre_topc(A),A))) # label(t22_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6649 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_tops_1(B,A) -> v2_tops_1(B,A)))))) # label(t92_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6650 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k4_subset_1(u1_struct_0(A),k5_subset_1(u1_struct_0(A),k6_pre_topc(A,k3_subset_1(u1_struct_0(A),B)),B),k6_subset_1(u1_struct_0(A),k6_pre_topc(A,B),B)) = k2_tops_1(A,B))))) # label(t64_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6651 $T # label(t33_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6652 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(k2_tops_1(A,k1_tops_1(A,B)),k2_tops_1(A,B)))))) # label(t71_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6653 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all 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))) -> (v3_pre_topc(B,A) -> r1_tarski(k5_subset_1(u1_struct_0(A),B,k6_pre_topc(A,C)),k6_pre_topc(A,k5_subset_1(u1_struct_0(A),B,C)))))))))) # label(t40_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6654 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) & v3_tops_1(B,A) -> B = k1_xboole_0))))) # label(t97_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6655 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> v3_pre_topc(k2_pre_topc(A),A) & v4_pre_topc(k2_pre_topc(A),A))) # label(fc8_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6656 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(B,A) & v2_tops_1(B,A) -> v2_tops_1(B,A) & v3_tops_1(B,A)))))) # label(cc5_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6657 (all A (l1_pre_topc(A) -> (all 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))) -> (r1_tarski(C,B) & v4_pre_topc(B,A) -> r1_tarski(k6_pre_topc(A,C),B)))))))) # label(t31_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6658 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v5_tops_1(B,A) -> k2_tops_1(A,k1_tops_1(A,B)) = k2_tops_1(A,B)))))) # label(t102_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6659 $T # label(t6_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6660 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v2_tops_1(B,A) <-> v1_tops_1(k3_subset_1(u1_struct_0(A),B),A)))))) # label(d4_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6661 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (exists B (v1_xboole_0(B) & v4_pre_topc(B,A) & v1_membered(B) & v2_membered(B) & v3_membered(B) & v5_membered(B) & v2_tops_1(B,A) & v3_tops_1(B,A) & v4_membered(B) & v3_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(rc5_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6662 $T # label(t1_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6663 (all A (l1_struct_0(A) -> (all 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))) -> (r1_xboole_0(B,k3_subset_1(u1_struct_0(A),C)) <-> r1_tarski(B,C)))))))) # label(t20_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6664 $T # label(t42_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6665 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k1_tops_1(A,k1_tops_1(A,B)) = k1_tops_1(A,B))))) # label(t45_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6666 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all 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))) -> (v5_tops_1(B,A) & v5_tops_1(C,A) -> v5_tops_1(k4_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t108_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6667 $T # label(t83_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6668 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (v3_pre_topc(D,B) -> D = k1_tops_1(B,D)) & (C = k1_tops_1(A,C) -> v3_pre_topc(C,A)))))))))) # label(t55_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6669 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(k2_tops_1(A,k6_pre_topc(A,B)),k2_tops_1(A,B)))))) # label(t72_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6670 $T # label(t25_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6671 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all 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))) -> k5_subset_1(u1_struct_0(A),k1_tops_1(A,B),k1_tops_1(A,C)) = k1_tops_1(A,k5_subset_1(u1_struct_0(A),B,C)))))))) # label(t46_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6672 $T # label(t16_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6673 $T # label(t5_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6674 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all 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))) -> (v3_pre_topc(B,A) -> k6_pre_topc(A,k5_subset_1(u1_struct_0(A),B,C)) = k6_pre_topc(A,k5_subset_1(u1_struct_0(A),B,k6_pre_topc(A,C)))))))))) # label(t41_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6675 (all A (l1_pre_topc(A) -> (exists B (v1_xboole_0(B) & v1_membered(B) & v2_membered(B) & v3_membered(B) & v5_membered(B) & v2_tops_1(B,A) & v4_membered(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(rc4_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6676 $T # label(t98_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.44/15.93	6677 $T # label(t89_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.93	6678 $T # label(t19_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.93	6679 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (exists B (v3_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(rc1_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.93	6680 $T # label(t100_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.93	6681 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) -> v3_tops_1(k2_tops_1(A,B),A)))))) # label(t95_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.93	6682 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (B = k6_pre_topc(A,k1_tops_1(A,B)) <-> v5_tops_1(B,A)))))) # label(d7_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.93	6683 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k2_tops_1(A,B) = k5_subset_1(u1_struct_0(A),k6_pre_topc(A,B),k6_pre_topc(A,k3_subset_1(u1_struct_0(A),B))))))) # label(d2_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.93	6684 $T # label(t60_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.93	6685 (all A all B (v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v4_pre_topc(B,A) -> v3_pre_topc(k3_subset_1(u1_struct_0(A),B),A))) # label(fc3_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.93	6686 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(k3_subset_1(u1_struct_0(A),B),A) <-> v4_pre_topc(B,A)))))) # label(t29_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.93	6687 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v5_tops_1(B,A) -> r1_tarski(k2_tops_1(A,B),k6_pre_topc(A,k1_tops_1(A,B)))))))) # label(t103_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.93	6688 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v2_tops_1(k6_pre_topc(A,B),A) <-> v3_tops_1(B,A)))))) # label(d5_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.93	6689 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tops_1(B,A) <-> k6_pre_topc(A,B) = k2_pre_topc(A)))))) # label(d3_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.93	6690 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all 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))) -> (v3_pre_topc(B,A) & v3_pre_topc(C,A) -> v3_pre_topc(k4_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t37_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.93	6691 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(k1_tops_1(A,B),B))))) # label(t44_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.93	6692 $T # label(t13_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.93	6693 $T # label(t78_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.93	6694 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tops_1(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(C != k1_xboole_0 & r1_xboole_0(B,C) & v3_pre_topc(C,A))))))))) # label(t80_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.93	6695 (all A (l1_pre_topc(A) -> (all 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_tops_1(B,A) & r1_tarski(B,C) -> v1_tops_1(C,A)))))))) # label(t79_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.93	6696 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k6_pre_topc(A,B) = k4_subset_1(u1_struct_0(A),B,k2_tops_1(A,B)))))) # label(t65_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.93	6697 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k6_pre_topc(A,k6_pre_topc(A,B)) = k6_pre_topc(A,B))))) # label(t26_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.93	6698 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all 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))) -> (v3_pre_topc(C,A) & v3_pre_topc(B,A) -> v3_pre_topc(k5_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t38_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6699 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all 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))) -> (v4_pre_topc(B,A) & v4_pre_topc(C,A) -> v4_pre_topc(k4_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t36_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6700 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> v3_pre_topc(k1_pre_topc(A),A))) # label(t52_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6701 (all A all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v3_pre_topc(B,A) & l1_pre_topc(A) & v2_pre_topc(A) -> v4_pre_topc(k3_subset_1(u1_struct_0(A),B),A))) # label(fc4_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6702 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (k2_tops_1(A,B) = k6_subset_1(u1_struct_0(A),B,k1_tops_1(A,B)) <-> v4_pre_topc(B,A)))))) # label(t77_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6703 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all 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))) -> k4_subset_1(u1_struct_0(A),k2_tops_1(A,B),k2_tops_1(A,C)) = k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),k2_tops_1(A,k4_subset_1(u1_struct_0(A),B,C)),k2_tops_1(A,k5_subset_1(u1_struct_0(A),B,C))),k5_subset_1(u1_struct_0(A),k2_tops_1(A,B),k2_tops_1(A,C))))))))) # label(t70_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6704 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_xboole_0(B) -> v3_pre_topc(B,A) & v4_pre_topc(B,A)))))) # label(cc1_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6705 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k1_tops_1(A,B) = k6_subset_1(u1_struct_0(A),B,k2_tops_1(A,B)))))) # label(t74_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6706 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_xboole_0(B) -> v2_tops_1(B,A)))))) # label(cc2_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6707 (all A all B (v2_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(A) -> v3_pre_topc(k1_tops_1(A,B),A))) # label(fc6_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6708 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_tops_1(B,A) -> v4_tops_1(k1_tops_1(A,B),A) & v4_tops_1(k6_pre_topc(A,B),A)))))) # label(t111_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6709 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k2_tops_1(A,k3_subset_1(u1_struct_0(A),B)) = k2_tops_1(A,B))))) # label(t62_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6710 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> v3_pre_topc(k1_pre_topc(A),A) & v4_pre_topc(k1_pre_topc(A),A) & v2_membered(k1_pre_topc(A)) & v5_membered(k1_pre_topc(A)) & v4_membered(k1_pre_topc(A)) & v3_membered(k1_pre_topc(A)) & v1_membered(k1_pre_topc(A)) & v1_xboole_0(k1_pre_topc(A)))) # label(fc7_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6711 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (v3_pre_topc(D,B) & v4_tops_1(D,B) -> v6_tops_1(D,B)) & (v6_tops_1(C,A) -> v3_pre_topc(C,A) & v4_tops_1(C,A)))))))))) # label(t107_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6712 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) & v3_tops_1(B,A) -> v3_pre_topc(B,A) & v4_pre_topc(B,A) & v1_membered(B) & v4_membered(B) & v2_tops_1(B,A) & v3_tops_1(B,A) & v5_membered(B) & v3_membered(B) & v2_membered(B) & v1_xboole_0(B)))))) # label(cc6_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6713 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all 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))) -> (v6_tops_1(C,A) & v6_tops_1(B,A) -> v6_tops_1(k5_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t109_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6714 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tops_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(C,A) -> k6_pre_topc(A,k5_subset_1(u1_struct_0(A),C,B)) = k6_pre_topc(A,C))))))))) # label(t81_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6715 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k2_tops_1(A,k2_tops_1(A,k2_tops_1(A,B))) = k2_tops_1(A,k2_tops_1(A,B)))))) # label(t75_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6716 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) <-> (all C (r2_hidden(C,B) <-> (exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & r1_tarski(D,B) & r2_hidden(C,D) & v3_pre_topc(D,A)))))))))) # label(t57_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6717 $T # label(t99_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6718 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) <-> v4_pre_topc(k3_subset_1(u1_struct_0(A),B),A)))))) # label(t30_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6719 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_tops_1(B,A) -> v2_tops_1(B,A)))))) # label(cc4_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6720 (all A all B (v2_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(A) -> v4_pre_topc(k6_pre_topc(A,B),A))) # label(fc2_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6721 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all 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))) -> (v2_tops_1(B,A) & v4_pre_topc(C,A) & v2_tops_1(C,A) -> v2_tops_1(k4_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t85_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6722 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (k6_subset_1(u1_struct_0(A),k6_pre_topc(A,B),B) = k2_tops_1(A,B) <-> v3_pre_topc(B,A)))))) # label(t76_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6723 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(B,k1_tops_1(A,C)) <-> (exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & r2_hidden(B,D) & r1_tarski(D,C) & v3_pre_topc(D,A)))))))) # label(t54_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6724 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all 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))) -> r1_tarski(k6_subset_1(u1_struct_0(A),k6_pre_topc(A,B),k6_pre_topc(A,C)),k6_pre_topc(A,k6_subset_1(u1_struct_0(A),B,C))))))))) # label(t32_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6725 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_tops_1(B,A) -> k1_tops_1(A,k2_tops_1(A,B)) = k1_xboole_0))))) # label(t110_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6726 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(k2_tops_1(A,k2_tops_1(A,B)),k2_tops_1(A,B)))))) # label(t68_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6727 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) -> k6_pre_topc(A,B) = k6_pre_topc(A,k1_tops_1(A,k6_pre_topc(A,B)))))))) # label(t59_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6728 (all A (l1_pre_topc(A) -> k6_pre_topc(A,k2_pre_topc(A)) = k2_pre_topc(A))) # label(t27_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6729 $T # label(t4_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6730 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> v1_xboole_0(k1_pre_topc(A)) & v2_membered(k1_pre_topc(A)) & v4_membered(k1_pre_topc(A)) & v5_membered(k1_pre_topc(A)) & v3_membered(k1_pre_topc(A)) & v1_membered(k1_pre_topc(A)) & v4_pre_topc(k1_pre_topc(A),A))) # label(fc1_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6731 (all A all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(A) -> m1_subset_1(k2_tops_1(A,B),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k2_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6732 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(B,A) -> (k2_tops_1(A,B) = B <-> v3_tops_1(B,A))))))) # label(t94_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6733 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> v3_pre_topc(k2_pre_topc(A),A))) # label(t53_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6734 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(B,A) & v3_pre_topc(B,A) -> (v5_tops_1(B,A) <-> v6_tops_1(B,A))))))) # label(t105_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6735 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all 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))) -> r1_tarski(k2_tops_1(A,k5_subset_1(u1_struct_0(A),B,C)),k4_subset_1(u1_struct_0(A),k2_tops_1(A,B),k2_tops_1(A,C))))))))) # label(t66_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6736 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k3_subset_1(u1_struct_0(A),k6_pre_topc(A,k3_subset_1(u1_struct_0(A),B))) = k1_tops_1(A,B))))) # label(d1_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6737 (all A (l1_pre_topc(A) -> (all 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))) -> (r1_tarski(B,C) -> r1_tarski(k1_tops_1(A,B),k1_tops_1(A,C))))))))) # label(t48_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6738 $T # label(t24_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6739 (all A all B (l1_pre_topc(A) & v3_tops_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v2_pre_topc(A) -> v1_tops_1(k3_subset_1(u1_struct_0(A),B),A))) # label(fc11_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6740 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & v3_pre_topc(B,A) & v4_pre_topc(B,A))))) # label(rc3_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6741 (all A all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(A) -> m1_subset_1(k1_tops_1(A,B),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k1_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6742 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all 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))) -> (v4_pre_topc(C,A) & v4_pre_topc(B,A) -> v4_pre_topc(k5_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t35_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6743 (all A all B (v2_tops_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(A) -> v2_membered(k1_tops_1(A,B)) & v3_membered(k1_tops_1(A,B)) & v4_membered(k1_tops_1(A,B)) & v5_membered(k1_tops_1(A,B)) & v2_tops_1(k1_tops_1(A,B),A) & v1_membered(k1_tops_1(A,B)) & v1_xboole_0(k1_tops_1(A,B)))) # label(fc10_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6744 $T # label(t28_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6745 (all A (l1_pre_topc(A) -> (all 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))) -> (v4_pre_topc(C,A) & v4_pre_topc(B,A) -> k6_pre_topc(A,k5_subset_1(u1_struct_0(A),B,C)) = k5_subset_1(u1_struct_0(A),k6_pre_topc(A,B),k6_pre_topc(A,C))))))))) # label(t34_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6746 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (B = k1_tops_1(A,k6_pre_topc(A,B)) <-> v6_tops_1(B,A)))))) # label(d8_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6747 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(k2_tops_1(A,B),k6_pre_topc(A,B)))))) # label(t63_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6748 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v5_tops_1(k3_subset_1(u1_struct_0(A),B),A) <-> v6_tops_1(B,A)))))) # label(t101_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6749 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(B,A) -> v3_tops_1(k2_tops_1(A,B),A)))))) # label(t96_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6750 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all 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))) -> (v3_tops_1(B,A) & v3_tops_1(C,A) -> v3_tops_1(k4_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t90_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6751 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k6_pre_topc(A,k1_tops_1(A,k6_pre_topc(A,k1_tops_1(A,B)))) = k6_pre_topc(A,k1_tops_1(A,B)))))) # label(t58_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6752 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(B,A) -> (v2_tops_1(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(k1_xboole_0 != C & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(D,A) & r1_xboole_0(B,D) & D != k1_xboole_0 & r1_tarski(D,C)))) & v3_pre_topc(C,A)))))))))) # label(t87_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6753 $T # label(t12_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6754 (all A (l1_struct_0(A) -> k3_subset_1(u1_struct_0(A),k2_pre_topc(A)) = k1_pre_topc(A))) # label(t8_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6755 (all A all B (v2_pre_topc(A) & l1_pre_topc(A) & v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> v3_tops_1(k2_tops_1(A,B),A) & v2_tops_1(k2_tops_1(A,B),A))) # label(fc13_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6756 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v2_tops_1(B,A) & v4_pre_topc(B,A) -> v3_tops_1(B,A)))))) # label(t93_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6757 (all A (l1_pre_topc(A) -> (all 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))) -> r1_tarski(k4_subset_1(u1_struct_0(A),k1_tops_1(A,B),k1_tops_1(A,C)),k1_tops_1(A,k4_subset_1(u1_struct_0(A),B,C))))))))) # label(t49_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6758 (all A (l1_struct_0(A) -> (all 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))) -> (k3_subset_1(u1_struct_0(A),C) = k3_subset_1(u1_struct_0(A),B) -> C = B))))))) # label(t21_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6759 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v6_tops_1(B,A) -> k2_tops_1(A,B) = k2_tops_1(A,k6_pre_topc(A,B)) & k6_subset_1(u1_struct_0(A),k6_pre_topc(A,B),B) = k2_tops_1(A,k6_pre_topc(A,B))))))) # label(t104_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6760 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(C,k2_tops_1(A,B)) <-> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(C,D) & v3_pre_topc(D,A) -> -r1_xboole_0(k3_subset_1(u1_struct_0(A),B),D) & -r1_xboole_0(B,D))))))))))) # label(t61_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6761 (all A all B (l1_pre_topc(A) & v3_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v2_pre_topc(A) -> v3_tops_1(k2_tops_1(A,B),A) & v2_tops_1(k2_tops_1(A,B),A))) # label(fc12_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6762 (all A (l1_pre_topc(A) -> k1_tops_1(A,k1_pre_topc(A)) = k1_pre_topc(A))) # label(t47_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6763 (all A (l1_pre_topc(A) -> v1_membered(k1_tops_1(A,k1_pre_topc(A))) & v3_membered(k1_tops_1(A,k1_pre_topc(A))) & v5_membered(k1_tops_1(A,k1_pre_topc(A))) & v4_membered(k1_tops_1(A,k1_pre_topc(A))) & v2_membered(k1_tops_1(A,k1_pre_topc(A))) & v1_xboole_0(k1_tops_1(A,k1_pre_topc(A))))) # label(fc5_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6764 $T # label(t11_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6765 (all A (l1_pre_topc(A) -> v1_tops_1(k2_pre_topc(A),A))) # label(fc9_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6766 $T # label(t14_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6767 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (v5_tops_1(C,A) -> v4_pre_topc(C,A) & v4_tops_1(C,A)) & (v4_tops_1(D,B) & v4_pre_topc(D,B) -> v5_tops_1(D,B)))))))))) # label(t106_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6768 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all 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))) -> r1_tarski(k1_tops_1(A,k6_subset_1(u1_struct_0(A),B,C)),k6_subset_1(u1_struct_0(A),k1_tops_1(A,B),k1_tops_1(A,C))))))))) # label(t50_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6769 $T # label(t18_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6770 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_tops_1(B,A) -> v1_tops_1(k3_subset_1(u1_struct_0(A),B),A)))))) # label(t91_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6771 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (exists B (v4_pre_topc(B,A) & v3_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(rc2_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6772 (all A (l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k2_pre_topc(A) = k4_subset_1(u1_struct_0(A),B,k2_pre_topc(A)))))) # label(t2_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6773 $T # label(t15_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6774 $T # label(t23_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6775 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all 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))) -> r1_tarski(k2_tops_1(A,k4_subset_1(u1_struct_0(A),B,C)),k4_subset_1(u1_struct_0(A),k2_tops_1(A,B),k2_tops_1(A,C))))))))) # label(t67_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6776 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all 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))) -> (r1_tarski(C,B) & v3_pre_topc(C,A) -> C = k1_xboole_0))) <-> v2_tops_1(B,A)))))) # label(t86_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6777 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (k1_tops_1(A,B) = k1_xboole_0 <-> v2_tops_1(B,A)))))) # label(t84_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6778 (all A (l1_pre_topc(A) & v2_pre_topc(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)) -> (r2_hidden(C,k6_pre_topc(A,B)) <-> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(r2_hidden(C,D) & r1_xboole_0(B,D) & v3_pre_topc(D,A))))))))))) # label(t39_tops_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6779 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) -> (all 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)) & v1_funct_1(C) -> ((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> r1_tarski(k6_pre_topc(A,k5_pre_topc(A,B,C,D)),k5_pre_topc(A,B,C,k6_pre_topc(B,D))))) <-> v5_pre_topc(C,A,B)))))))) # label(t56_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6780 (all A (l1_pre_topc(A) -> (all B (-v3_struct_0(B) & l1_pre_topc(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) -> ((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(k4_pre_topc(A,B,C,D),B) <-> v4_pre_topc(D,A)))) & v2_funct_1(C) & k2_relat_1(C) = k2_pre_topc(B) & k1_relat_1(C) = k2_pre_topc(A) <-> v3_tops_2(C,A,B)))))))) # label(t72_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6781 $T # label(t30_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6782 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & l1_pre_topc(B) & v2_pre_topc(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)) -> ((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(k4_pre_topc(A,B,C,k6_pre_topc(A,D)),k6_pre_topc(B,k4_pre_topc(A,B,C,D))))) <-> v5_pre_topc(C,A,B)))))))) # label(t57_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6783 $T # label(t9_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6784 (all A (l1_pre_topc(A) -> (all 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))) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (r1_tarski(B,k5_setfam_1(u1_struct_0(A),D)) -> r1_tarski(k5_subset_1(u1_struct_0(A),B,C),k5_setfam_1(u1_struct_0(k3_pre_topc(A,C)),k1_tops_2(A,C,D)))))))))))) # label(t42_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6785 $T # label(t69_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6786 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_tops_2(C,A) & v1_tops_2(B,A) -> v1_tops_2(k4_subset_1(k1_zfmisc_1(u1_struct_0(A)),B,C),A)))))))) # label(t20_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6787 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_finset_1(C) -> v1_finset_1(k1_tops_2(A,B,C))))))))) # label(t46_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6788 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> -(k7_setfam_1(A,B) = k1_xboole_0 & k1_xboole_0 != B) & -(B = k1_xboole_0 & k7_setfam_1(A,B) != k1_xboole_0))) # label(t10_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6789 (all A (l1_pre_topc(A) -> (all B (-v3_struct_0(B) & l1_pre_topc(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)) -> (v5_pre_topc(C,A,B) <-> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (v3_pre_topc(D,B) -> v3_pre_topc(k5_pre_topc(A,B,C,D),A))))))))))) # label(t55_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6790 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (r1_tarski(C,D) -> r1_tarski(k1_tops_2(A,B,C),k1_tops_2(A,B,D))))))))))) # label(t40_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6791 $T # label(t14_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6792 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_pre_topc(C,A) -> (v4_pre_topc(B,A) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) -> (D = B -> v4_pre_topc(D,C))))))))))) # label(t34_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6793 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_tops_2(C,A) & r1_tarski(B,C) -> v1_tops_2(B,A)))))))) # label(t18_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6794 (all A (l1_pre_topc(A) -> (all B (-v3_struct_0(B) & l1_pre_topc(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)) -> (v3_tops_2(C,A,B) -> v3_tops_2(k2_tops_2(A,B,C),B,A)))))))) # label(t70_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6795 $T # label(t61_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6796 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (l1_pre_topc(B) & -v3_struct_0(B) -> (all C (l1_pre_topc(C) & -v3_struct_0(C) -> (all D (v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(D) -> (all E (v1_funct_1(E) & m2_relset_1(E,u1_struct_0(B),u1_struct_0(C)) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) -> (v3_tops_2(D,A,B) & v3_tops_2(E,B,C) -> v3_tops_2(k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),D,E),A,C)))))))))))) # label(t71_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6797 (all A (l1_struct_0(A) -> (all B (l1_struct_0(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) & k2_relat_1(C) = k2_pre_topc(B) -> k5_relat_1(k2_tops_2(A,B,C),C) = k6_relat_1(k2_relat_1(C)) & k5_relat_1(C,k2_tops_2(A,B,C)) = k6_relat_1(k1_relat_1(C))))))))) # label(t65_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6798 (all A all B all C (l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> m1_subset_1(k1_tops_2(A,B,C),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_pre_topc(A,B))))))) # label(dt_k1_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6799 (all A (l1_struct_0(A) -> (all B (l1_struct_0(B) -> (all 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)) & v1_funct_1(C) -> (v2_funct_1(C) & k2_relat_1(C) = k2_pre_topc(B) -> v2_funct_1(k2_tops_2(A,B,C))))))))) # label(t63_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6800 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_tops_2(C,A) -> v1_tops_2(k1_tops_2(A,B,C),k3_pre_topc(A,B))))))))) # label(t47_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6801 $T # label(t37_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6802 $T # label(t8_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6803 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(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)) -> (v3_tops_2(C,A,B) <-> k2_relat_1(C) = k2_pre_topc(B) & v2_funct_1(C) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> k5_pre_topc(A,B,C,k6_pre_topc(B,D)) = k6_pre_topc(A,k5_pre_topc(A,B,C,D)))) & k2_pre_topc(A) = k1_relat_1(C)))))))) # label(t73_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6804 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v2_tops_2(B,A) & v1_finset_1(B) -> v4_pre_topc(k5_setfam_1(u1_struct_0(A),B),A)))))) # label(t28_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6805 (all A (l1_struct_0(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(r1_pre_topc(A,B) & k1_xboole_0 = B))))) # label(t5_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6806 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (B != k1_xboole_0 -> k6_setfam_1(A,k7_setfam_1(A,B)) = k3_subset_1(A,k5_setfam_1(A,B))))) # label(t11_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6807 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_pre_topc(C,A) -> (v3_pre_topc(B,A) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) -> (B = D -> v3_pre_topc(D,C))))))))))) # label(t33_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6808 $T # label(t7_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6809 (all A (l1_struct_0(A) -> (all B (l1_struct_0(B) -> (all 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)) & v1_funct_1(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (v2_funct_1(C) & k2_pre_topc(B) = k2_relat_1(C) -> k5_pre_topc(B,A,k2_tops_2(A,B,C),D) = k4_pre_topc(A,B,C,D)))))))))) # label(t67_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6810 (all A (l1_struct_0(A) -> (all B (-v3_struct_0(B) & l1_struct_0(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) = k2_pre_topc(B) & v2_funct_1(C) -> k2_tops_2(B,A,k2_tops_2(A,B,C)) = C))))))) # label(t64_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6811 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v2_tops_2(B,A) -> v4_pre_topc(k6_setfam_1(u1_struct_0(A),B),A)))))) # label(t29_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6812 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v2_tops_2(C,A) -> v2_tops_2(k1_tops_2(A,B,C),k3_pre_topc(A,B))))))))) # label(t48_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6813 (all A (l1_struct_0(A) -> (all B (l1_struct_0(B) -> (all 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)) & v1_funct_1(C) -> (k2_pre_topc(B) = k2_relat_1(C) & v2_funct_1(C) -> k2_tops_2(A,B,C) = k2_funct_1(C)))))))) # label(d4_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6814 $T # label(t39_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6815 (all A (l1_pre_topc(A) -> (all 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))) -> m1_subset_1(k5_subset_1(u1_struct_0(A),B,C),k1_zfmisc_1(u1_struct_0(k3_pre_topc(A,C)))))))))) # label(t38_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6816 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_pre_topc(C,A) -> (v2_tops_2(B,A) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(C)))) -> (D = B -> v2_tops_2(D,C))))))))))) # label(t36_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6817 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (B != k1_xboole_0 -> k3_subset_1(A,k6_setfam_1(A,B)) = k5_setfam_1(A,k7_setfam_1(A,B))))) # label(t12_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6818 (all A (l1_pre_topc(A) -> (all B (-v3_struct_0(B) & l1_pre_topc(B) -> (all 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)) & v1_funct_1(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) -> (v5_pre_topc(C,A,B) & v1_tops_2(D,B) -> (all E (m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (E = k9_relat_1(k3_funct_3(C),D) -> v1_tops_2(E,A))))))))))))) # label(t59_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6819 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) -> -((all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -((all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (E = k2_pre_topc(B) -> k1_tops_2(A,E,D) = C))) & v1_tops_2(D,A)))) & v1_tops_2(C,B)))))))) # label(t49_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6820 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v2_tops_2(B,A) & v2_tops_2(C,A) -> v2_tops_2(k4_subset_1(k1_zfmisc_1(u1_struct_0(A)),B,C),A)))))))) # label(t23_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6821 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) -> m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))))))) # label(t31_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6822 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v2_tops_2(B,A) -> v2_tops_2(k6_subset_1(k1_zfmisc_1(u1_struct_0(A)),B,C),A)))))))) # label(t25_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6823 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v2_tops_2(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(C,B) -> v4_pre_topc(C,A))))))))) # label(d2_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6824 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_tops_2(k7_setfam_1(u1_struct_0(A),B),A) <-> v2_tops_2(B,A)))))) # label(t16_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6825 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & l1_pre_topc(B) & v2_pre_topc(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)) -> (k2_pre_topc(B) = k2_relat_1(C) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> k6_pre_topc(B,k4_pre_topc(A,B,C,D)) = k4_pre_topc(A,B,C,k6_pre_topc(A,D)))) & v2_funct_1(C) & k2_pre_topc(A) = k1_relat_1(C) <-> v3_tops_2(C,A,B)))))))) # label(t74_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6826 (all A (l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> r1_tarski(k6_subset_1(u1_struct_0(A),k5_setfam_1(u1_struct_0(A),B),k5_setfam_1(u1_struct_0(A),C)),k5_setfam_1(u1_struct_0(A),k6_subset_1(k1_zfmisc_1(u1_struct_0(A)),B,C))))))))) # label(t6_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6827 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (r1_tarski(B,k5_setfam_1(u1_struct_0(A),C)) -> k5_setfam_1(u1_struct_0(k3_pre_topc(A,B)),k1_tops_2(A,B,C)) = B))))))) # label(t43_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6828 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(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)) -> (v3_tops_2(C,A,B) <-> k2_pre_topc(B) = k2_relat_1(C) & v5_pre_topc(k2_tops_2(A,B,C),B,A) & v5_pre_topc(C,A,B) & v2_funct_1(C) & k1_relat_1(C) = k2_pre_topc(A)))))))) # label(d5_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6829 (all A (l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (r1_tarski(C,B) -> m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))))))) # label(t3_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6830 (all A (l1_struct_0(A) -> (all B (l1_struct_0(B) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & l1_struct_0(C) -> (all D (m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(D) -> (all E (m2_relset_1(E,u1_struct_0(B),u1_struct_0(C)) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v1_funct_1(E) -> (k1_relat_1(D) = k2_pre_topc(A) & k2_pre_topc(B) = k1_relat_1(E) & v2_funct_1(E) & k2_relat_1(E) = k2_pre_topc(C) & v2_funct_1(D) & k2_pre_topc(B) = k2_relat_1(D) -> k7_funct_2(u1_struct_0(C),u1_struct_0(B),u1_struct_0(A),k2_tops_2(B,C,E),k2_tops_2(A,B,D)) = k2_tops_2(A,C,k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),D,E))))))))))))) # label(t66_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6831 (all A (l1_pre_topc(A) -> (all 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))) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (r2_hidden(B,D) -> r2_hidden(k5_subset_1(u1_struct_0(A),B,C),k1_tops_2(A,C,D))))))))))) # label(t41_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6832 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (r1_tarski(B,k5_setfam_1(u1_struct_0(k3_pre_topc(A,B)),k1_tops_2(A,B,C))) -> r1_tarski(B,k5_setfam_1(u1_struct_0(A),C))))))))) # label(t45_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6833 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_tops_2(B,A) & v1_finset_1(B) -> v3_pre_topc(k6_setfam_1(u1_struct_0(A),B),A)))))) # label(t27_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6834 (all A (l1_struct_0(A) -> (all B (l1_struct_0(B) & -v3_struct_0(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) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) -> m1_subset_1(k9_relat_1(k3_funct_3(C),D),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))))))))) # label(t54_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6835 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) -> (all C (-v3_struct_0(C) & l1_pre_topc(C) -> (all D (m2_relset_1(D,u1_struct_0(A),u1_struct_0(C)) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(C)) & v1_funct_1(D) -> (all E (v1_funct_1(E) & m2_relset_1(E,u1_struct_0(C),u1_struct_0(B)) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B)) -> (v5_pre_topc(E,C,B) & v5_pre_topc(D,A,C) -> v5_pre_topc(k7_funct_2(u1_struct_0(A),u1_struct_0(C),u1_struct_0(B),D,E),A,B)))))))))))) # label(t58_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6836 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_pre_topc(C,A) -> (v1_tops_2(B,A) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(C)))) -> (B = D -> v1_tops_2(D,C))))))))))) # label(t35_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6837 (all A (l1_struct_0(A) -> (all B (l1_struct_0(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)) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (k2_relat_1(C) = k2_pre_topc(B) & v2_funct_1(C) -> k4_pre_topc(B,A,k2_tops_2(A,B,C),D) = k5_pre_topc(A,B,C,D)))))))))) # label(t68_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6838 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_tops_2(B,A) -> v1_tops_2(k6_subset_1(k1_zfmisc_1(u1_struct_0(A)),B,C),A)))))))) # label(t22_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6839 (all A all B all C (l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) -> m2_relset_1(k2_tops_2(A,B,C),u1_struct_0(B),u1_struct_0(A)) & v1_funct_2(k2_tops_2(A,B,C),u1_struct_0(B),u1_struct_0(A)) & v1_funct_1(k2_tops_2(A,B,C)))) # label(dt_k2_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6840 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> r1_tarski(k5_setfam_1(u1_struct_0(k3_pre_topc(A,B)),k1_tops_2(A,B,C)),k5_setfam_1(u1_struct_0(A),C)))))))) # label(t44_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6841 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(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)) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) -> (v5_pre_topc(C,A,B) & v2_tops_2(D,B) -> (all E (m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (k9_relat_1(k3_funct_3(C),D) = E -> v2_tops_2(E,A))))))))))))) # label(t60_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6842 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_pre_topc(A,B))))) -> (k1_tops_2(A,B,C) = D <-> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k3_pre_topc(A,B)))) -> ((exists F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & r2_hidden(F,C) & E = k5_subset_1(u1_struct_0(A),F,B))) <-> r2_hidden(E,D))))))))))))) # label(d3_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6843 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_tops_2(B,A) -> v1_tops_2(k5_subset_1(k1_zfmisc_1(u1_struct_0(A)),B,C),A)))))))) # label(t21_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6844 $T # label(t15_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6845 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v2_tops_2(B,A) -> v2_tops_2(k5_subset_1(k1_zfmisc_1(u1_struct_0(A)),B,C),A)))))))) # label(t24_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6846 (all A (l1_struct_0(A) -> (all B (l1_struct_0(B) & -v3_struct_0(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)) -> (k2_pre_topc(B) = k2_relat_1(C) & v2_funct_1(C) -> k2_pre_topc(A) = k2_relat_1(k2_tops_2(A,B,C)) & k2_pre_topc(B) = k1_relat_1(k2_tops_2(A,B,C))))))))) # label(t62_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6847 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> ((exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & C = k3_xboole_0(D,k2_pre_topc(B)) & v3_pre_topc(D,A))) <-> v3_pre_topc(C,B)))))))) # label(t32_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6848 (all A (l1_struct_0(A) -> (all B (l1_struct_0(B) & -v3_struct_0(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)) -> k2_pre_topc(A) = k1_relat_1(C) & r1_tarski(k2_relat_1(C),k2_pre_topc(B)))))))) # label(t51_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6849 (all A (l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> r1_tarski(B,k1_zfmisc_1(k2_pre_topc(A))))))) # label(t1_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6850 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (r1_tarski(B,C) & v2_tops_2(C,A) -> v2_tops_2(B,A)))))))) # label(t19_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6851 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(C,B) -> v3_pre_topc(C,A)))) <-> v1_tops_2(B,A)))))) # label(d1_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6852 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (exists D (v1_funct_1(D) & (all E (r2_hidden(E,C) -> (all F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) -> (F = E -> k5_subset_1(u1_struct_0(A),F,B) = k1_funct_1(D,E)))))) & k1_tops_2(A,B,C) = k2_relat_1(D) & C = k1_relat_1(D) & v1_relat_1(D))))))))) # label(t50_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6853 (all A (l1_struct_0(A) -> (all B (l1_struct_0(B) & -v3_struct_0(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)) -> k2_pre_topc(A) = k5_pre_topc(A,B,C,k2_pre_topc(B)))))))) # label(t52_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6854 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_tops_2(B,A) -> v3_pre_topc(k5_setfam_1(u1_struct_0(A),B),A)))))) # label(t26_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6855 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v2_tops_2(k7_setfam_1(u1_struct_0(A),B),A) <-> v1_tops_2(B,A)))))) # label(t17_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6856 (all A (l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_finset_1(k7_setfam_1(u1_struct_0(A),B)) <-> v1_finset_1(B)))))) # label(t13_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6857 $T # label(t4_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6858 $T # label(t53_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6859 $T # label(t2_tops_2) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6860 (all A (-v3_struct_0(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(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)) -> k6_rlvect_1(A,B,k2_rlvect_1(A,C,D)) = k6_rlvect_1(A,k6_rlvect_1(A,B,D),C))))))))) # label(t41_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6861 (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) -> k10_finseq_1(B,C) = k7_rlvect_1(A,B,C))) # label(redefinition_k7_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6862 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(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)) -> k9_rlvect_1(A,k8_rlvect_1(A,C,B,D)) = k9_rlvect_1(A,k8_rlvect_1(A,B,D,C)))))))))) # label(t87_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6863 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(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)) -> k9_rlvect_1(A,k8_rlvect_1(A,B,C,D)) = k9_rlvect_1(A,k8_rlvect_1(A,C,B,D)))))))))) # label(t86_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6864 (all A (m1_subset_1(A,k1_numbers) -> (all B (-v3_struct_0(B) & v7_rlvect_1(B) & l2_rlvect_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> k6_rlvect_1(B,k3_rlvect_1(B,C,A),k3_rlvect_1(B,D,A)) = k3_rlvect_1(B,k6_rlvect_1(B,C,D),A))))))))) # label(t48_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6865 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (k5_rlvect_1(A,B) = B -> B = k1_rlvect_1(A)))))) # label(t33_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6866 $T # label(t4_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6867 $T # label(t13_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6868 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m2_finseq_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)) -> (np__3 = k3_finseq_1(B) & k1_funct_1(B,np__1) = C & E = k1_funct_1(B,np__3) & D = k1_funct_1(B,np__2) -> k9_rlvect_1(A,B) = k2_rlvect_1(A,k2_rlvect_1(A,C,D),E)))))))))))) # label(t97_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6869 $T # label(t88_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6870 (all A (l1_rlvect_1(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_rlvect_1(A,B,C) = k8_funct_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A),u1_rlvect_1(A),k1_domain_1(u1_struct_0(A),u1_struct_0(A),B,C)))))))) # label(d3_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6871 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (v3_rlvect_1(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_rlvect_1(A,B,C) = k2_rlvect_1(A,C,B)))))))) # label(d5_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.94	6872 (all A (l1_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (v2_funct_1(C) & v2_funct_1(B) & k2_relat_1(B) = k2_relat_1(C) -> k9_rlvect_1(A,B) = k9_rlvect_1(A,C)))))))) # label(t59_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.95	6873 (all A all B (m1_subset_1(B,u1_struct_0(A)) & l1_rlvect_1(A) & -v3_struct_0(A) -> m1_subset_1(k5_rlvect_1(A,B),u1_struct_0(A)))) # label(dt_k5_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.95	6874 (exists A (-v3_struct_0(A) & v4_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & v2_rlvect_1(A) & l2_rlvect_1(A))) # label(rc6_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.95	6875 (all A (v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(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)) -> k6_rlvect_1(A,B,k6_rlvect_1(A,C,D)) = k4_rlvect_1(A,k6_rlvect_1(A,B,C),D))))))))) # label(t43_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.95	6876 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(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_rlvect_1(A,C,k5_rlvect_1(A,B)) = k5_rlvect_1(A,k6_rlvect_1(A,B,C)))))))) # label(t47_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.95	6877 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (np__1 = k3_finseq_1(B) -> k1_funct_1(B,np__1) = k9_rlvect_1(A,B)))))) # label(t95_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.95	6878 $T # label(t11_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.95	6879 (all A all B all C (-v3_struct_0(A) & v3_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & l1_rlvect_1(A) -> k2_rlvect_1(A,B,C) = k4_rlvect_1(A,B,C))) # label(redefinition_k4_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.95	6880 (all A (v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(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)) -> k5_rlvect_1(A,k2_rlvect_1(A,C,B)) = k9_rlvect_1(A,k7_rlvect_1(A,k5_rlvect_1(A,B),k5_rlvect_1(A,C))))))))) # label(t78_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.95	6881 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k5_rlvect_1(A,B) = k6_rlvect_1(A,k1_rlvect_1(A),B))))) # label(t27_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.95	6882 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (k1_nat_1(k3_finseq_1(C),np__1) = k3_finseq_1(B) & k1_funct_1(B,k3_finseq_1(B)) = D & k7_relat_1(B,k4_finseq_1(C)) = C -> k9_rlvect_1(A,B) = k2_rlvect_1(A,k9_rlvect_1(A,C),D)))))))))) # label(t55_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.95	6883 (all A (l2_rlvect_1(A) -> (v2_rlvect_1(A) -> A = g2_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_rlvect_1(A),u2_rlvect_1(A))))) # label(abstractness_v2_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.95	6884 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(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)) -> k6_rlvect_1(A,k6_rlvect_1(A,k5_rlvect_1(A,B),C),D) = k5_rlvect_1(A,k9_rlvect_1(A,k8_rlvect_1(A,B,C,D))))))))))) # label(t71_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.95	6885 (all A (-v3_struct_0(A) & l1_rlvect_1(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> B = k2_rlvect_1(A,B,k1_rlvect_1(A)))) <-> v5_rlvect_1(A)))) # label(d7_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.95	6886 (all A (l1_struct_0(A) -> (all B (r2_hidden(B,u1_struct_0(A)) <-> r1_rlvect_1(A,B))))) # label(d1_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
16.46/15.95	6887 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k5_rlvect_1(A,k9_rlvect_1(A,k7_rlvect_1(A,B,C))) = k6_rlvect_1(A,k5_rlvect_1(A,B),C))))))) # label(t70_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6888 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(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_rlvect_1(A,k9_rlvect_1(A,k7_rlvect_1(A,B,D)),C) = k9_rlvect_1(A,k8_rlvect_1(A,C,B,D)))))))))) # label(t83_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6889 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> k5_rlvect_1(A,k9_rlvect_1(A,k6_finseq_1(u1_struct_0(A)))) = k1_rlvect_1(A))) # label(t68_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6890 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (v4_rlvect_1(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_rlvect_1(A,B,k2_rlvect_1(A,C,D)) = k2_rlvect_1(A,k2_rlvect_1(A,B,C),D)))))))))) # label(d6_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6891 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k5_rlvect_1(A,k9_rlvect_1(A,k12_finseq_1(u1_struct_0(A),B))) = k5_rlvect_1(A,B))))) # label(t69_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6892 (all A (l2_struct_0(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v8_rlvect_1(B,A) <-> B != k1_rlvect_1(A)))))) # label(d13_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6893 (all A all B all C all D (v1_funct_1(D) & m1_relset_1(D,k2_zfmisc_1(k1_numbers,A),A) & v1_funct_2(D,k2_zfmisc_1(k1_numbers,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_subset_1(B,A) -> (all E all F all G all H (g2_rlvect_1(E,F,G,H) = g2_rlvect_1(A,B,C,D) -> E = A & G = C & H = D & B = F)))) # label(free_g2_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6894 (all A (-v3_struct_0(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (np__0 = k3_finseq_1(B) -> k1_rlvect_1(A) = k9_rlvect_1(A,B)))))) # label(t94_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6895 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> k1_rlvect_1(A) = k9_rlvect_1(A,k6_finseq_1(u1_struct_0(A))))) # label(t60_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6896 (all A (l2_rlvect_1(A) & -v3_struct_0(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> B = k2_rlvect_1(A,B,k1_rlvect_1(A)))) & (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_subset_1(C,k1_numbers) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k2_rlvect_1(A,k3_rlvect_1(A,D,B),k3_rlvect_1(A,D,C)) = k3_rlvect_1(A,D,k3_real_1(B,C)))))))) & (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_subset_1(C,k1_numbers) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k3_rlvect_1(A,k3_rlvect_1(A,D,C),B) = k3_rlvect_1(A,D,k4_real_1(B,C)))))))) & (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k3_rlvect_1(A,B,np__1))) & (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k3_rlvect_1(A,k2_rlvect_1(A,C,D),B) = k2_rlvect_1(A,k3_rlvect_1(A,C,B),k3_rlvect_1(A,D,B)))))))) & (all B (m1_subset_1(B,u1_struct_0(A)) -> (exists C (m1_subset_1(C,u1_struct_0(A)) & k2_rlvect_1(A,B,C) = k1_rlvect_1(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_rlvect_1(A,k2_rlvect_1(A,B,C),D) = k2_rlvect_1(A,B,k2_rlvect_1(A,C,D)))))))) & (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_rlvect_1(A,B,C) = k2_rlvect_1(A,C,B))))) -> v4_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A)))) # label(t7_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6897 (all A all B all C (-v3_struct_0(A) & l2_rlvect_1(A) & m1_subset_1(C,k1_numbers) & m1_subset_1(B,u1_struct_0(A)) -> m1_subset_1(k3_rlvect_1(A,B,C),u1_struct_0(A)))) # label(dt_k3_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6898 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k3_rlvect_1(A,B,np__2) = k9_rlvect_1(A,k7_rlvect_1(A,B,B)))))) # label(t79_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6899 (all A all B all C (l1_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & -v3_struct_0(A) -> m2_finseq_1(k7_rlvect_1(A,B,C),u1_struct_0(A)))) # label(dt_k7_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6900 (all A (l2_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_numbers) -> k8_funct_2(k2_zfmisc_1(k1_numbers,u1_struct_0(A)),u1_struct_0(A),u2_rlvect_1(A),k1_domain_1(k1_numbers,u1_struct_0(A),C,B)) = k3_rlvect_1(A,B,C))))))) # label(d4_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6901 $T # label(t8_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6902 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k9_rlvect_1(A,k7_rlvect_1(A,B,k5_rlvect_1(A,C))) = k6_rlvect_1(A,B,C))))))) # label(t77_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6903 (all A all B all C (l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & -v3_struct_0(A) -> m1_subset_1(k6_rlvect_1(A,B,C),u1_struct_0(A)))) # label(dt_k6_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6904 $T # label(t14_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6905 (all A (m1_subset_1(A,k1_numbers) -> (all B (m1_subset_1(B,k1_numbers) -> (all C (-v3_struct_0(C) & v3_rlvect_1(C) & v5_rlvect_1(C) & l2_rlvect_1(C) & v7_rlvect_1(C) & v6_rlvect_1(C) & v4_rlvect_1(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (k3_rlvect_1(C,D,B) = k3_rlvect_1(C,D,A) -> k1_rlvect_1(C) = D | A = B))))))))) # label(t51_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6906 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k9_rlvect_1(A,k7_rlvect_1(A,k5_rlvect_1(A,B),B)) = k1_rlvect_1(A) & k1_rlvect_1(A) = k9_rlvect_1(A,k7_rlvect_1(A,B,k5_rlvect_1(A,B))))))) # label(t76_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6907 $T # label(t15_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6908 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_numbers) -> (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)) -> k4_rlvect_1(A,k4_rlvect_1(A,k3_rlvect_1(A,C,B),k3_rlvect_1(A,D,B)),k3_rlvect_1(A,E,B)) = k3_rlvect_1(A,k9_rlvect_1(A,k8_rlvect_1(A,C,D,E)),B))))))))))) # label(t67_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6909 (all A (m1_subset_1(A,k1_numbers) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v7_rlvect_1(B) & l2_rlvect_1(B) & v6_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k5_rlvect_1(B,k3_rlvect_1(B,C,A)) = k3_rlvect_1(B,k5_rlvect_1(B,C),A))))))) # label(t39_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6910 (all A (l2_rlvect_1(A) -> m2_relset_1(u2_rlvect_1(A),k2_zfmisc_1(k1_numbers,u1_struct_0(A)),u1_struct_0(A)) & v1_funct_2(u2_rlvect_1(A),k2_zfmisc_1(k1_numbers,u1_struct_0(A)),u1_struct_0(A)) & v1_funct_1(u2_rlvect_1(A)))) # label(dt_u2_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6911 $T # label(t1_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6912 (all A (l1_rlvect_1(A) -> l2_struct_0(A))) # label(dt_l1_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6913 (all A (v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k5_rlvect_1(A,k5_rlvect_1(A,B)))))) # label(t30_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6914 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v4_rlvect_1(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)) & k2_rlvect_1(A,B,D) = C)))))))) # label(t20_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6915 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v4_rlvect_1(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_rlvect_1(A,k7_rlvect_1(A,B,C)) = k9_rlvect_1(A,k7_rlvect_1(A,C,B)))))))) # label(t72_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6916 $T # label(t2_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6917 (all A all B all C all D (-v1_xboole_0(A) & m1_subset_1(B,A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A) & m1_relset_1(D,k2_zfmisc_1(k1_numbers,A),A) & v1_funct_1(C) -> -v3_struct_0(g2_rlvect_1(A,B,C,D)) & v2_rlvect_1(g2_rlvect_1(A,B,C,D)))) # label(fc1_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6918 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(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)) -> k9_rlvect_1(A,k8_rlvect_1(A,B,C,D)) = k2_rlvect_1(A,k2_rlvect_1(A,k9_rlvect_1(A,k12_finseq_1(u1_struct_0(A),B)),k9_rlvect_1(A,k12_finseq_1(u1_struct_0(A),C))),k9_rlvect_1(A,k12_finseq_1(u1_struct_0(A),D))))))))))) # label(t81_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6919 (all A (-v3_struct_0(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> k1_rlvect_1(A) = k5_rlvect_1(A,k1_rlvect_1(A)))) # label(t25_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6920 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(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)) -> k9_rlvect_1(A,k8_rlvect_1(A,C,B,D)) = k4_rlvect_1(A,k9_rlvect_1(A,k7_rlvect_1(A,C,D)),B))))))))) # label(t84_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6921 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k3_rlvect_1(A,B,k1_real_1(np__2)) = k9_rlvect_1(A,k7_rlvect_1(A,k5_rlvect_1(A,B),k5_rlvect_1(A,B))))))) # label(t80_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6922 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_numbers) -> k1_rlvect_1(A) = k3_rlvect_1(A,k9_rlvect_1(A,k6_finseq_1(u1_struct_0(A))),B))))) # label(t64_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6923 (all A (m1_subset_1(A,k1_numbers) -> (all B (-v3_struct_0(B) & v6_rlvect_1(B) & l2_rlvect_1(B) & v7_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (k3_rlvect_1(B,D,A) = k3_rlvect_1(B,C,A) -> np__0 = A | C = D))))))))) # label(t50_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6924 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(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)) -> k9_rlvect_1(A,k8_rlvect_1(A,B,C,D)) = k2_rlvect_1(A,k2_rlvect_1(A,B,C),D))))))))) # label(t63_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6925 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(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)) -> k6_rlvect_1(A,k5_rlvect_1(A,C),B) = k6_rlvect_1(A,k5_rlvect_1(A,B),C))))))) # label(t46_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6926 (all A (m1_subset_1(A,k1_numbers) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v7_rlvect_1(B) & l2_rlvect_1(B) & v6_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k3_rlvect_1(B,k5_rlvect_1(B,C),A) = k3_rlvect_1(B,C,k1_real_1(A)))))))) # label(t38_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6927 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k3_rlvect_1(A,k9_rlvect_1(A,k7_rlvect_1(A,C,D)),B) = k4_rlvect_1(A,k3_rlvect_1(A,C,B),k3_rlvect_1(A,D,B)))))))))) # label(t66_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6928 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k9_rlvect_1(A,k7_rlvect_1(A,B,k1_rlvect_1(A))) & B = k9_rlvect_1(A,k7_rlvect_1(A,k1_rlvect_1(A),B)))))) # label(t75_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6929 (all A (l1_rlvect_1(A) -> v1_funct_1(u1_rlvect_1(A)) & v1_funct_2(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m2_relset_1(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(dt_u1_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6930 (exists A (l1_rlvect_1(A) & v1_rlvect_1(A))) # label(rc1_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6931 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k9_rlvect_1(A,k7_rlvect_1(A,B,C)) = k2_rlvect_1(A,B,C))))))) # label(t62_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6932 $T # label(t17_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6933 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k1_rlvect_1(A) = k2_rlvect_1(A,k5_rlvect_1(A,B),B) & k1_rlvect_1(A) = k2_rlvect_1(A,B,k5_rlvect_1(A,B)))))) # label(t16_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6934 (all A (l2_struct_0(A) -> m1_subset_1(k1_rlvect_1(A),u1_struct_0(A)))) # label(dt_k1_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6935 (all A (-v3_struct_0(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k5_rlvect_1(A,B) = k3_rlvect_1(A,B,k1_real_1(np__1)))))) # label(t29_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6936 (all A (m1_subset_1(A,k1_numbers) -> (all B (-v3_struct_0(B) & l2_rlvect_1(B) & v7_rlvect_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m2_finseq_1(C,u1_struct_0(B)) -> (all D (m2_finseq_1(D,u1_struct_0(B)) -> (k3_finseq_1(D) = k3_finseq_1(C) & (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (all F (m1_subset_1(F,u1_struct_0(B)) -> (r2_hidden(E,k4_finseq_1(C)) & k1_funct_1(D,E) = F -> k3_rlvect_1(B,F,A) = k1_funct_1(C,E)))))) -> k3_rlvect_1(B,k9_rlvect_1(B,D),A) = k9_rlvect_1(B,C)))))))))) # label(t56_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6937 (all A all B (l1_rlvect_1(A) & m1_finseq_1(B,u1_struct_0(A)) & -v3_struct_0(A) -> m1_subset_1(k9_rlvect_1(A,B),u1_struct_0(A)))) # label(dt_k9_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6938 $T # label(t18_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6939 (all A (l2_struct_0(A) -> k1_rlvect_1(A) = u2_struct_0(A))) # label(d2_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6940 (all A all B all C all D (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(D,k2_zfmisc_1(k1_numbers,A),A) & v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A) & v1_funct_1(D) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & m1_subset_1(B,A) -> l2_rlvect_1(g2_rlvect_1(A,B,C,D)) & v2_rlvect_1(g2_rlvect_1(A,B,C,D)))) # label(dt_g2_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6941 (all A all B all C (-v3_struct_0(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> m1_subset_1(k2_rlvect_1(A,B,C),u1_struct_0(A)))) # label(dt_k2_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6942 (all A all B all C all D (m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l1_struct_0(A) & -v3_struct_0(A) -> k11_finseq_1(B,C,D) = k8_rlvect_1(A,B,C,D))) # label(redefinition_k8_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6943 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v3_rlvect_1(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)) -> k9_rlvect_1(A,k8_rlvect_1(A,C,B,D)) = k9_rlvect_1(A,k8_rlvect_1(A,C,D,B)))))))))) # label(t85_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6944 (all A (m1_subset_1(A,k1_numbers) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v7_rlvect_1(B) & l2_rlvect_1(B) & v6_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (C = k1_rlvect_1(B) | A = np__0 -> k1_rlvect_1(B) = k3_rlvect_1(B,C,A)))))))) # label(t23_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6945 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_rlvect_1(A,k5_rlvect_1(A,C),k5_rlvect_1(A,B)) = k5_rlvect_1(A,k2_rlvect_1(A,B,C)))))))) # label(t45_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6946 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k9_rlvect_1(A,k7_rlvect_1(A,B,C)) = k2_rlvect_1(A,k9_rlvect_1(A,k12_finseq_1(u1_struct_0(A),B)),k9_rlvect_1(A,k12_finseq_1(u1_struct_0(A),C))))))))) # label(t73_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6947 $T # label(t53_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6948 (exists A l1_rlvect_1(A)) # label(existence_l1_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6949 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(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_rlvect_1(A,k8_rlvect_1(A,k1_rlvect_1(A),B,C)) = k2_rlvect_1(A,B,C) & k9_rlvect_1(A,k8_rlvect_1(A,B,C,k1_rlvect_1(A))) = k2_rlvect_1(A,B,C) & k2_rlvect_1(A,B,C) = k9_rlvect_1(A,k8_rlvect_1(A,B,k1_rlvect_1(A),C)))))))) # label(t92_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6950 (all A (l1_rlvect_1(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_rlvect_1(A),B,C) = k2_rlvect_1(A,B,C))))))) # label(t5_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6951 (all A (l1_struct_0(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r1_rlvect_1(A,B))))) # label(t3_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6952 (all A all B all C (m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l1_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> k4_rlvect_1(A,C,B) = k4_rlvect_1(A,B,C))) # label(commutativity_k4_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.57	6953 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r2_hidden(C,k2_finseq_1(D)) & k3_finseq_1(B) = D -> m1_subset_1(k1_funct_1(B,C),u1_struct_0(A))))))))))) # label(t54_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6954 (all A (-v3_struct_0(A) & l1_rlvect_1(A) & v4_rlvect_1(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)) -> k6_rlvect_1(A,k2_rlvect_1(A,B,C),D) = k2_rlvect_1(A,B,k6_rlvect_1(A,C,D)))))))))) # label(t42_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6955 (all A (-v3_struct_0(A) & l1_rlvect_1(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (C = k9_rlvect_1(A,B) <-> (exists D (v1_funct_2(D,k5_numbers,u1_struct_0(A)) & m2_relset_1(D,k5_numbers,u1_struct_0(A)) & (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (all F (m1_subset_1(F,u1_struct_0(A)) -> (k1_funct_1(B,k1_nat_1(E,np__1)) = F -> k8_funct_2(k5_numbers,u1_struct_0(A),D,k1_nat_1(E,np__1)) = k2_rlvect_1(A,k8_funct_2(k5_numbers,u1_struct_0(A),D,E),F) | r1_xreal_0(k3_finseq_1(B),E)))))) & k1_rlvect_1(A) = k8_funct_2(k5_numbers,u1_struct_0(A),D,np__0) & C = k8_funct_2(k5_numbers,u1_struct_0(A),D,k3_finseq_1(B)) & v1_funct_1(D)))))))))) # label(d12_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6956 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(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)) -> (k2_rlvect_1(A,D,B) = k2_rlvect_1(A,E,B) | k2_rlvect_1(A,B,D) = k2_rlvect_1(A,B,E) -> E = D))))))))))) # label(t21_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6957 (all A (l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(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)) -> (k5_rlvect_1(A,B) = k5_rlvect_1(A,C) -> C = B))))))) # label(t31_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6958 $T # label(t32_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6959 (all A (v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(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_rlvect_1(A,k9_rlvect_1(A,k7_rlvect_1(A,B,C)),D) = k9_rlvect_1(A,k8_rlvect_1(A,B,C,D)))))))))) # label(t82_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6960 (all A (m1_subset_1(A,k1_numbers) -> (all B (m1_subset_1(B,k1_numbers) -> (all C (-v3_struct_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v7_rlvect_1(C) & l2_rlvect_1(C) & v6_rlvect_1(C) & v5_rlvect_1(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> k6_rlvect_1(C,k3_rlvect_1(C,D,A),k3_rlvect_1(C,D,B)) = k3_rlvect_1(C,D,k5_real_1(A,B)))))))))) # label(t49_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6961 (all A (-v3_struct_0(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k6_rlvect_1(A,B,B) = k1_rlvect_1(A))))) # label(t28_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6962 (all A (l2_rlvect_1(A) & -v3_struct_0(A) -> (v7_rlvect_1(A) <-> (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_subset_1(C,k1_numbers) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k3_rlvect_1(A,k3_rlvect_1(A,D,C),B) = k3_rlvect_1(A,D,k4_real_1(B,C)))))))) & (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k3_rlvect_1(A,B,np__1))) & (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_subset_1(C,k1_numbers) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k2_rlvect_1(A,k3_rlvect_1(A,D,B),k3_rlvect_1(A,D,C)) = k3_rlvect_1(A,D,k3_real_1(B,C)))))))) & (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k2_rlvect_1(A,k3_rlvect_1(A,C,B),k3_rlvect_1(A,D,B)) = k3_rlvect_1(A,k2_rlvect_1(A,C,D),B)))))))))) # label(d9_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6963 (exists A (l2_rlvect_1(A) & v2_rlvect_1(A))) # label(rc2_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6964 (all A all B all C (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(C,A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) -> v1_rlvect_1(g1_rlvect_1(A,B,C)) & l1_rlvect_1(g1_rlvect_1(A,B,C)))) # label(dt_g1_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6965 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v4_rlvect_1(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)) -> (k6_rlvect_1(A,B,C) = k6_rlvect_1(A,B,D) -> C = D))))))))) # label(t37_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6966 (all A (-v3_struct_0(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> k9_rlvect_1(A,k8_finseq_1(u1_struct_0(A),B,C)) = k2_rlvect_1(A,k9_rlvect_1(A,B),k9_rlvect_1(A,C)))))))) # label(t58_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6967 (all A (-v3_struct_0(A) & l1_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_rlvect_1(A,B,k5_rlvect_1(A,C)) = k6_rlvect_1(A,B,C))))))) # label(d11_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6968 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k1_rlvect_1(A) = k2_rlvect_1(A,B,C) -> k5_rlvect_1(A,C) = B))))))) # label(t19_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6969 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k9_rlvect_1(A,k8_rlvect_1(A,k1_rlvect_1(A),k1_rlvect_1(A),B)) & k9_rlvect_1(A,k8_rlvect_1(A,B,k1_rlvect_1(A),k1_rlvect_1(A))) = B & k9_rlvect_1(A,k8_rlvect_1(A,k1_rlvect_1(A),B,k1_rlvect_1(A))) = B)))) # label(t91_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6970 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(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)) -> k6_rlvect_1(A,k5_rlvect_1(A,C),B) = k5_rlvect_1(A,k2_rlvect_1(A,B,C)))))))) # label(t44_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6971 $T # label(t6_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6972 (exists A (l1_rlvect_1(A) & -v3_struct_0(A) & v1_rlvect_1(A))) # label(rc4_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6973 $T # label(t52_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6974 (all A (-v3_struct_0(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k6_rlvect_1(A,B,k1_rlvect_1(A)) = B)))) # label(t26_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6975 (all A all B all C (v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & m1_subset_1(C,A) & v1_funct_1(B) -> (all D all E all F (g1_rlvect_1(A,B,C) = g1_rlvect_1(D,E,F) -> E = B & F = C & D = A)))) # label(free_g1_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6976 $T # label(t65_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6977 (all A (-v3_struct_0(A) & l1_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v4_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k5_rlvect_1(A,B) = C <-> k1_rlvect_1(A) = k2_rlvect_1(A,B,C))))))))) # label(d10_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6978 (all A (v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(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)) -> (k6_rlvect_1(A,B,C) = k1_rlvect_1(A) -> B = C))))))) # label(t35_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6979 (exists A (-v3_struct_0(A) & l2_rlvect_1(A))) # label(rc3_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6980 (all A (l2_rlvect_1(A) -> l1_rlvect_1(A))) # label(dt_l2_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6981 (exists A (-v3_struct_0(A) & v1_rlvect_1(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & l1_rlvect_1(A))) # label(rc5_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6982 (all A all B all C all D (-v3_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & l1_struct_0(A) -> m2_finseq_1(k8_rlvect_1(A,B,C,D),u1_struct_0(A)))) # label(dt_k8_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6983 (exists A l2_rlvect_1(A)) # label(existence_l2_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6984 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m2_finseq_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)) -> (np__2 = k3_finseq_1(B) & k1_funct_1(B,np__2) = D & C = k1_funct_1(B,np__1) -> k9_rlvect_1(A,B) = k2_rlvect_1(A,C,D)))))))))) # label(t96_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6985 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(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)) & B = k6_rlvect_1(A,C,D))))))))) # label(t36_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6986 $T # label(t12_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6987 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v4_rlvect_1(A) -> k1_rlvect_1(A) = k9_rlvect_1(A,k7_rlvect_1(A,k1_rlvect_1(A),k1_rlvect_1(A))))) # label(t74_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6988 (all A (v4_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(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_rlvect_1(A,C,B) | B = k2_rlvect_1(A,B,C) -> C = k1_rlvect_1(A)))))))) # label(t22_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6989 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k2_rlvect_1(A,k1_rlvect_1(A),B) = B & B = k2_rlvect_1(A,B,k1_rlvect_1(A)))))) # label(t10_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6990 (all A (m1_subset_1(A,k1_numbers) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l2_rlvect_1(B) & v7_rlvect_1(B) & v6_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k3_rlvect_1(B,C,A) = k3_rlvect_1(B,k5_rlvect_1(B,C),k1_real_1(A)))))))) # label(t40_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6991 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(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)) -> k9_rlvect_1(A,k8_rlvect_1(A,C,B,D)) = k9_rlvect_1(A,k8_rlvect_1(A,D,B,C)))))))))) # label(t89_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6992 (all A (l1_rlvect_1(A) -> (v1_rlvect_1(A) -> g1_rlvect_1(u1_struct_0(A),u1_rlvect_1(A),u2_struct_0(A)) = A))) # label(abstractness_v1_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6993 (all A (m1_subset_1(A,k1_numbers) -> (all B (-v3_struct_0(B) & v7_rlvect_1(B) & l2_rlvect_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> -(A != np__0 & C != k1_rlvect_1(B) & k1_rlvect_1(B) = k3_rlvect_1(B,C,A)))))))) # label(t24_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6994 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (k1_rlvect_1(A) = k4_rlvect_1(A,B,B) -> B = k1_rlvect_1(A)))))) # label(t34_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6995 (all A all B all C (-v3_struct_0(A) & v3_rlvect_1(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l1_rlvect_1(A) -> m1_subset_1(k4_rlvect_1(A,B,C),u1_struct_0(A)))) # label(dt_k4_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6996 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (k3_finseq_1(B) = k3_finseq_1(C) & (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (k1_funct_1(C,D) = E & r2_hidden(D,k4_finseq_1(B)) -> k1_funct_1(B,D) = k5_rlvect_1(A,E)))))) -> k9_rlvect_1(A,B) = k5_rlvect_1(A,k9_rlvect_1(A,C))))))))) # label(t57_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6997 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k9_rlvect_1(A,k8_rlvect_1(A,B,B,B)) = k3_rlvect_1(A,B,np__3))))) # label(t93_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6998 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> k1_rlvect_1(A) = k9_rlvect_1(A,k8_rlvect_1(A,k1_rlvect_1(A),k1_rlvect_1(A),k1_rlvect_1(A))))) # label(t90_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	6999 $T # label(t9_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7000 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (v6_rlvect_1(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (exists C (m1_subset_1(C,u1_struct_0(A)) & k2_rlvect_1(A,B,C) = k1_rlvect_1(A)))))))) # label(d8_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7001 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k9_rlvect_1(A,k12_finseq_1(u1_struct_0(A),B)))))) # label(t61_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7002 (all A all B (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & m1_rlsub_1(B,A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v4_rlvect_1(A) -> (exists C m2_rlsub_1(C,A,B)))) # label(existence_m2_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7003 $T # label(t15_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7004 (all A (v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlsub_1(B,A) -> (all C (m2_rlsub_1(C,A,B) -> (r2_hidden(k1_rlvect_1(A),C) <-> C = u1_struct_0(B)))))))) # label(t93_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7005 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlsub_1(D,A) -> (r2_hidden(B,k3_rlsub_1(A,k5_rlvect_1(A,C),D)) & r2_hidden(B,k3_rlsub_1(A,C,D)) -> r1_rlvect_1(D,C)))))))))) # label(t73_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7006 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlsub_1(B,A) -> k1_rlsub_1(A) = k1_rlsub_1(B))))) # label(t48_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7007 (all A (v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -((all C (m1_rlsub_1(C,A) & v2_rlvect_1(C) -> u1_struct_0(C) != B)) & v1_rlsub_1(B,A) & k1_xboole_0 != B))))) # label(t43_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7008 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_rlsub_1(B,A) & v2_rlvect_1(B) -> (all C (m1_rlsub_1(C,A) & v2_rlvect_1(C) -> (u1_struct_0(C) = u1_struct_0(B) -> B = C))))))) # label(t38_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7009 (all A all B (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & m1_rlsub_1(B,A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all C (m2_rlsub_1(C,A,B) -> m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))))))) # label(dt_m2_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7010 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_numbers) -> (all D (m1_rlsub_1(D,A) -> (r1_rlvect_1(D,B) -> r2_hidden(k3_rlvect_1(A,B,C),k3_rlsub_1(A,B,D))))))))))) # label(t75_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7011 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,C) -> (all E (m2_relset_1(E,k2_zfmisc_1(C,C),C) & v1_funct_2(E,k2_zfmisc_1(C,C),C) & v1_funct_1(E) -> (all F (v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(k1_numbers,C),C) & m2_relset_1(F,k2_zfmisc_1(k1_numbers,C),C) -> (B = C & k1_rlvect_1(A) = D & E = k1_realset1(u1_rlvect_1(A),B) & F = k8_relset_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)),u1_struct_0(A),u2_rlvect_1(A),k2_zfmisc_1(k1_numbers,B)) -> m1_rlsub_1(g2_rlvect_1(C,D,E,F),A)))))))))))))) # label(t32_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7012 (all A (v3_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlsub_1(B,A) -> m1_rlsub_1(k1_rlsub_1(B),A))))) # label(t50_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7013 $T # label(t44_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7014 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlsub_1(C,A) -> (r1_rlvect_1(C,B) <-> u1_struct_0(C) = k3_rlsub_1(A,k5_rlvect_1(A,B),C)))))))) # label(t67_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7015 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & l2_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & l2_rlvect_1(C) & v4_rlvect_1(C) & v3_rlvect_1(C) & -v3_struct_0(C) -> (m1_rlsub_1(A,B) & m1_rlsub_1(B,C) -> m1_rlsub_1(A,C)))))))) # label(t35_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7016 $T # label(t56_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7017 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_rlsub_1(B,A) <-> (all C (m1_subset_1(C,k1_numbers) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,B) -> r2_hidden(k3_rlvect_1(A,D,C),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(k4_rlvect_1(A,C,D),B))))))))))) # label(d1_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7018 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_rlsub_1(B,A) -> k3_rlsub_1(A,k1_rlvect_1(A),B) = u1_struct_0(B))))) # label(t60_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7019 (all A (v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlsub_1(C,A) -> (u1_struct_0(C) = k3_rlsub_1(A,B,C) <-> r1_rlvect_1(C,B)))))))) # label(t64_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7020 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlsub_1(C,A) -> (k3_rlsub_1(A,B,C) = u1_struct_0(C) <-> r2_hidden(k1_rlvect_1(A),k3_rlsub_1(A,B,C))))))))) # label(t63_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7021 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> u1_struct_0(A) = k3_rlsub_1(A,B,k2_rlsub_1(A)))))) # label(t62_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7022 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all 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_rlsub_1(C,A) & v1_rlsub_1(B,A) -> v1_rlsub_1(k5_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t10_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7023 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_rlsub_1(B,A) -> (all C (m1_rlsub_1(C,A) -> r1_rlvect_1(C,k1_rlvect_1(B)))))))) # label(t26_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7024 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlsub_1(C,A) -> k3_rlsub_1(A,B,C) = a_3_1_rlsub_1(A,B,C))))))) # label(d5_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7025 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlsub_1(D,A) -> -(k3_rlsub_1(A,C,D) = k3_rlsub_1(A,B,D) & (all E (m1_subset_1(E,u1_struct_0(A)) -> -(C = k6_rlvect_1(A,B,E) & r1_rlvect_1(D,E))))))))))))) # label(t83_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7026 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlsub_1(C,A) -> (k3_rlsub_1(A,k5_rlvect_1(A,B),C) = k3_rlsub_1(A,B,C) <-> r1_rlvect_1(C,B)))))))) # label(t71_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7027 (all A (v4_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlsub_1(B,A) -> (all C (m1_rlsub_1(C,A) -> k1_rlvect_1(B) = k1_rlvect_1(C))))))) # label(t20_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7028 $T # label(t14_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7029 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(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_rlsub_1(D,A) -> (r2_hidden(B,k3_rlsub_1(A,C,D)) <-> (exists E (m1_subset_1(E,u1_struct_0(A)) & r1_rlvect_1(D,E) & B = k4_rlvect_1(A,C,E)))))))))))) # label(t79_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7030 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (exists B m1_rlsub_1(B,A)))) # label(existence_m1_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7031 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(A) = B -> v1_rlsub_1(B,A)))))) # label(t8_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7032 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> m1_rlsub_1(A,A))) # label(t33_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7033 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> m1_rlsub_1(k1_rlsub_1(A),A) & v2_rlvect_1(k1_rlsub_1(A)))) # label(dt_k1_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7034 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (exists B (m1_rlsub_1(B,A) & -v3_struct_0(B) & v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v5_rlvect_1(B))))) # label(rc1_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7035 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v3_rlvect_1(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_rlsub_1(D,A) -> ((exists E (m1_subset_1(E,u1_struct_0(A)) & r1_rlvect_1(D,E) & k6_rlvect_1(A,C,E) = B)) <-> r2_hidden(B,k3_rlsub_1(A,C,D))))))))))) # label(t80_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7036 (all A (v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(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_rlsub_1(D,A) -> (all E (m2_rlsub_1(E,A,D) -> -(r2_hidden(B,E) & (all F (m1_subset_1(F,u1_struct_0(A)) -> -(r1_rlvect_1(D,F) & C = k6_rlvect_1(A,B,F)))) & r2_hidden(C,E)))))))))))) # label(t96_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7037 $T # label(t47_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7038 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlsub_1(C,A) -> r2_hidden(B,k3_rlsub_1(A,B,C)))))))) # label(t59_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7039 $T # label(t13_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7040 (all A (v2_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlsub_1(B,A) & v2_rlvect_1(B) -> (u1_struct_0(B) = u1_struct_0(A) -> B = A))))) # label(t40_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7041 (all A (-v3_struct_0(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_rlsub_1(B,A) -> m2_rlsub_1(u1_struct_0(B),A,B))))) # label(t90_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7042 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(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_rlsub_1(D,A) -> (all E (m1_subset_1(E,u1_struct_0(D)) -> (all F (m1_subset_1(F,u1_struct_0(D)) -> (C = F & E = B -> k4_rlvect_1(D,E,F) = k4_rlvect_1(A,B,C)))))))))))))) # label(t21_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7043 (all A (l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlsub_1(C,A) -> (r2_hidden(k1_rlvect_1(A),k3_rlsub_1(A,B,C)) <-> r1_rlvect_1(C,B)))))))) # label(t58_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7044 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all 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))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (v1_rlsub_1(B,A) & v1_rlsub_1(C,A) & D = a_3_0_rlsub_1(A,B,C) -> v1_rlsub_1(D,A)))))))))) # label(t9_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7045 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlsub_1(C,A) -> (r2_hidden(k5_rlvect_1(A,B),k3_rlsub_1(A,B,C)) <-> r1_rlvect_1(C,B)))))))) # label(t76_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7046 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_rlsub_1(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(C,B) -> r2_hidden(k5_rlvect_1(A,C),B))))))))) # label(t5_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7047 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v2_rlvect_1(B) & m1_rlsub_1(B,A) -> (k1_rlsub_1(A) = B <-> u1_struct_0(B) = k1_struct_0(A,k1_rlvect_1(A))))))) # label(d3_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7048 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_numbers) -> (all D (m1_rlsub_1(D,A) -> (u1_struct_0(D) = k3_rlsub_1(A,k3_rlvect_1(A,B,C),D) -> np__0 = C | r1_rlvect_1(D,B)))))))))) # label(t66_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7049 $T # label(t55_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7050 (all A (v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(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_rlsub_1(D,A) -> (r1_rlvect_1(D,B) & r1_rlvect_1(D,C) -> r1_rlvect_1(D,k4_rlvect_1(A,B,C))))))))))) # label(t28_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7051 $T # label(t12_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7052 $T # label(t3_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7053 (all A (v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlsub_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (m2_rlsub_1(C,A,B) <-> (exists D (m1_subset_1(D,u1_struct_0(A)) & k3_rlsub_1(A,D,B) = C))))))))) # label(d6_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7054 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlsub_1(B,A) -> v5_rlvect_1(B) & v6_rlvect_1(B) & l2_rlvect_1(B) & v7_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B))))) # label(dt_m1_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7055 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (m2_rlsub_1(B,A,k2_rlsub_1(A)) -> B = u1_struct_0(A)))))) # label(t92_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7056 (all A (v3_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v2_rlvect_1(B) & m1_rlsub_1(B,A) -> (all C (m1_rlsub_1(C,A) & v2_rlvect_1(C) -> (all D (m2_rlsub_1(D,A,B) -> (all E (m2_rlsub_1(E,A,C) -> (D = E -> C = B))))))))))) # label(t87_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7057 $T # label(t1_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7058 (all A (v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlsub_1(B,A) -> m1_rlsub_1(k1_rlsub_1(A),B))))) # label(t51_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7059 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlsub_1(C,A) -> (r1_rlvect_1(C,B) -> r1_rlvect_1(C,k5_rlvect_1(A,B))))))))) # label(t30_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7060 (all A (v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlsub_1(B,A) -> (all C (m1_rlsub_1(C,A) -> (r1_tarski(u1_struct_0(B),u1_struct_0(C)) -> m1_rlsub_1(B,C)))))))) # label(t36_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7061 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_rlsub_1(B,A) -> (all C (m1_rlsub_1(C,A) -> k1_rlsub_1(B) = k1_rlsub_1(C))))))) # label(t49_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7062 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlsub_1(C,A) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (D = B -> k5_rlvect_1(A,B) = k5_rlvect_1(C,D)))))))))) # label(t23_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7063 (all A (v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlsub_1(C,A) -> (all D (m2_rlsub_1(D,A,C) -> (all E (m2_rlsub_1(E,A,C) -> (r2_hidden(B,D) & r2_hidden(B,E) -> D = E))))))))))) # label(t98_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7064 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlsub_1(D,A) -> ((exists E (r2_hidden(C,k3_rlsub_1(A,E,D)) & r2_hidden(B,k3_rlsub_1(A,E,D)) & m1_subset_1(E,u1_struct_0(A)))) <-> r1_rlvect_1(D,k6_rlvect_1(A,B,C))))))))))) # label(t81_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7065 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) -> (all B (m1_rlsub_1(B,A) & v2_rlvect_1(B) -> (all C (v2_rlvect_1(C) & m1_rlsub_1(C,A) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> (r1_rlvect_1(C,D) <-> r1_rlvect_1(B,D)))) -> B = C))))))) # label(t39_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7066 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & v2_rlvect_1(A) & -v3_struct_0(A) -> m1_rlsub_1(A,k2_rlsub_1(A)))) # label(t54_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7067 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlsub_1(D,A) & v2_rlvect_1(D) -> (all E (v2_rlvect_1(E) & m1_rlsub_1(E,A) -> (k3_rlsub_1(A,C,E) = k3_rlsub_1(A,B,D) -> E = D))))))))))) # label(t85_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7068 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlsub_1(D,A) -> (all E (m1_subset_1(E,u1_struct_0(D)) -> (all F (m1_subset_1(F,u1_struct_0(D)) -> (B = E & C = F -> k6_rlvect_1(A,B,C) = k6_rlvect_1(D,E,F)))))))))))))) # label(t24_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7069 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v2_rlvect_1(C) & m1_rlsub_1(C,A) -> (all D (m1_rlsub_1(D,A) & v2_rlvect_1(D) -> (C = D <-> k3_rlsub_1(A,B,C) = k3_rlsub_1(A,B,D)))))))))) # label(t84_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7070 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_rlsub_1(B,A) -> k1_rlvect_1(B) = k1_rlvect_1(A))))) # label(t19_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.58	7071 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlsub_1(D,A) -> (r2_hidden(k4_rlvect_1(A,B,C),k3_rlsub_1(A,C,D)) <-> r1_rlvect_1(D,B)))))))))) # label(t77_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7072 (all A (v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_rlsub_1(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(k6_rlvect_1(A,C,D),B))))))))))) # label(t6_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7073 $T # label(t57_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7074 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_numbers) -> (all D (m1_rlsub_1(D,A) -> (r1_rlvect_1(D,B) -> r1_rlvect_1(D,k3_rlvect_1(A,B,C))))))))))) # label(t29_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7075 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlsub_1(D,A) -> -(k3_rlsub_1(A,B,D) = k3_rlsub_1(A,C,D) & (all E (m1_subset_1(E,u1_struct_0(A)) -> -(r1_rlvect_1(D,E) & k4_rlvect_1(A,B,E) = C)))))))))))) # label(t82_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7076 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v7_rlvect_1(B) & l2_rlvect_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (u2_rlvect_1(B) = k8_relset_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)),u1_struct_0(A),u2_rlvect_1(A),k2_zfmisc_1(k1_numbers,u1_struct_0(B))) & u1_rlvect_1(B) = k1_realset1(u1_rlvect_1(A),u1_struct_0(B)) & u2_struct_0(A) = u2_struct_0(B) & r1_tarski(u1_struct_0(B),u1_struct_0(A)) <-> m1_rlsub_1(B,A)))))) # label(d2_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7077 (all A all B all C all D (-v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & l2_rlvect_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_rlsub_1(D,B) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (r2_hidden(A,a_3_1_rlsub_1(B,C,D)) <-> (exists E (m1_subset_1(E,u1_struct_0(B)) & r1_rlvect_1(D,E) & k4_rlvect_1(B,C,E) = A))))) # label(fraenkel_a_3_1_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7078 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B all C (m1_rlsub_1(C,A) -> (all D (m1_rlsub_1(D,A) -> (r1_rlvect_1(C,B) & m1_rlsub_1(C,D) -> r1_rlvect_1(D,B)))))))) # label(t16_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7079 (all A (v4_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlsub_1(B,A) -> r1_rlvect_1(B,k1_rlvect_1(A)))))) # label(t25_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7080 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(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_rlsub_1(E,A) -> (r2_hidden(B,k3_rlsub_1(A,D,E)) & r2_hidden(B,k3_rlsub_1(A,C,E)) -> k3_rlsub_1(A,C,E) = k3_rlsub_1(A,D,E)))))))))))) # label(t72_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7081 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlsub_1(D,A) -> (r2_hidden(B,k3_rlsub_1(A,C,D)) <-> k3_rlsub_1(A,B,D) = k3_rlsub_1(A,C,D)))))))))) # label(t70_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7082 (all A (v3_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> v1_rlsub_1(k1_struct_0(A,k1_rlvect_1(A)),A))) # label(t7_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7083 (all A (v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(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_rlsub_1(D,A) -> (k3_rlsub_1(A,k6_rlvect_1(A,C,B),D) = k3_rlsub_1(A,C,D) <-> r1_rlvect_1(D,B)))))))))) # label(t69_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7084 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_rlsub_1(B,A) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> m1_subset_1(C,u1_struct_0(A)))))))) # label(t18_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7085 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_rlsub_1(B,A) -> (all C (m1_rlsub_1(C,A) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> (r1_rlvect_1(B,D) -> r1_rlvect_1(C,D)))) -> m1_rlsub_1(B,C)))))))) # label(t37_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7086 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_rlsub_1(B,A) -> (all C (m1_rlsub_1(C,A) -> m1_rlsub_1(k1_rlsub_1(B),C))))))) # label(t52_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7087 (all A (-v3_struct_0(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_numbers) -> (all D (m1_rlsub_1(D,A) -> (all E (m1_subset_1(E,u1_struct_0(D)) -> (B = E -> k3_rlvect_1(A,B,C) = k3_rlvect_1(D,E,C)))))))))))) # label(t22_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7088 (all A (-v3_struct_0(A) & v2_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & l2_rlvect_1(B) & v7_rlvect_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & v2_rlvect_1(B) -> (m1_rlsub_1(B,A) & m1_rlsub_1(A,B) -> B = A))))) # label(t34_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7089 (all A (v2_rlvect_1(A) & v3_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlsub_1(B,A) & v2_rlvect_1(B) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (r1_rlvect_1(B,C) <-> r1_rlvect_1(A,C)))) -> B = A))))) # label(t41_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7090 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_numbers) -> (all D (m1_rlsub_1(D,A) -> (r1_rlvect_1(D,B) -> u1_struct_0(D) = k3_rlsub_1(A,k3_rlvect_1(A,B,C),D)))))))))) # label(t65_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7091 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_numbers) -> (all D (m1_rlsub_1(D,A) -> (r2_hidden(k3_rlvect_1(A,B,C),k3_rlsub_1(A,B,D)) -> np__1 = C | r1_rlvect_1(D,B)))))))))) # label(t74_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7092 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> k2_rlsub_1(A) = g2_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_rlvect_1(A),u2_rlvect_1(A)))) # label(d4_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7093 (all A all B all C all D (-v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & l2_rlvect_1(B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (r2_hidden(A,a_3_0_rlsub_1(B,C,D)) <-> (exists E exists F (m1_subset_1(E,u1_struct_0(B)) & A = k4_rlvect_1(B,E,F) & r2_hidden(F,D) & r2_hidden(E,C) & m1_subset_1(F,u1_struct_0(B))))))) # label(fraenkel_a_3_0_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7094 (all A (-v3_struct_0(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlsub_1(D,A) -> (k3_rlsub_1(A,C,D) = k3_rlsub_1(A,k4_rlvect_1(A,C,B),D) <-> r1_rlvect_1(D,B)))))))))) # label(t68_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7095 $T # label(t11_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7096 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_rlsub_1(B,A) -> (all C (m2_rlsub_1(C,A,B) -> (v1_rlsub_1(C,A) <-> C = u1_struct_0(B)))))))) # label(t86_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7097 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlsub_1(D,A) -> (r1_rlvect_1(D,C) <-> r2_hidden(k6_rlvect_1(A,B,C),k3_rlsub_1(A,B,D))))))))))) # label(t78_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7098 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> m2_rlsub_1(k1_struct_0(A,B),A,k1_rlsub_1(A)))))) # label(t88_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7099 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(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_rlsub_1(D,A) -> (r1_rlvect_1(D,k6_rlvect_1(A,B,C)) <-> (exists E (m2_rlsub_1(E,A,D) & r2_hidden(C,E) & r2_hidden(B,E)))))))))))) # label(t97_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7100 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_rlsub_1(B,A) -> r1_rlvect_1(A,k1_rlvect_1(B)))))) # label(t27_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7101 $T # label(t2_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7102 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B all C (m1_rlsub_1(C,A) -> (r1_rlvect_1(C,B) -> r1_rlvect_1(A,B)))))) # label(t17_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7103 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlsub_1(C,A) -> (all D (m2_rlsub_1(D,A,C) -> (k3_rlsub_1(A,B,C) = D <-> r2_hidden(B,D)))))))))) # label(t94_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7104 $T # label(t46_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7105 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlsub_1(D,A) -> (r1_rlvect_1(D,C) & r1_rlvect_1(D,B) -> r1_rlvect_1(D,k6_rlvect_1(A,B,C))))))))))) # label(t31_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7106 $T # label(t45_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7107 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlsub_1(D,A) -> (all E (m2_rlsub_1(E,A,D) -> -(r2_hidden(B,E) & (all F (m1_subset_1(F,u1_struct_0(A)) -> -(C = k4_rlvect_1(A,B,F) & r1_rlvect_1(D,F)))) & r2_hidden(C,E)))))))))))) # label(t95_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7108 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_rlsub_1(C,A) -> (B = u1_struct_0(C) -> v1_rlsub_1(B,A)))))))) # label(t42_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7109 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> m2_rlsub_1(u1_struct_0(A),A,k2_rlsub_1(A)))) # label(t91_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7110 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k3_rlsub_1(A,B,k1_rlsub_1(A)) = k1_struct_0(A,B))))) # label(t61_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7111 (all A all B all C (-v3_struct_0(A) & v3_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_rlsub_1(C,A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> m1_subset_1(k3_rlsub_1(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k3_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7112 $T # label(t53_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7113 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(m2_rlsub_1(B,A,k1_rlsub_1(A)) & (all C (m1_subset_1(C,u1_struct_0(A)) -> B != k1_struct_0(A,C)))))))) # label(t89_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7114 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> v2_rlvect_1(k2_rlsub_1(A)) & m1_rlsub_1(k2_rlsub_1(A),A))) # label(dt_k2_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7115 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_rlsub_1(B,A) -> r2_hidden(k1_rlvect_1(A),B) | B = k1_xboole_0))))) # label(t4_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7116 (all A all B (v1_funct_1(B) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) -> v1_group_1(g1_group_1(A,B)) & l1_group_1(g1_group_1(A,B)))) # label(dt_g1_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7117 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (np__1 = k7_group_1(A,B) -> B = k2_group_1(A)))))) # label(t85_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7118 (all A (v1_int_1(A) -> (all B (l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (k1_group_1(B,D,C) = k1_group_1(B,C,D) -> k6_group_1(B,A,k1_group_1(B,C,D)) = k1_group_1(B,k6_group_1(B,A,C),k6_group_1(B,A,D))))))))))) # label(t73_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7119 (all A (l1_group_1(A) -> v1_funct_1(u1_group_1(A)) & v1_funct_2(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m2_relset_1(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(dt_u1_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7120 (all A (v4_group_1(A) & l1_group_1(A) & v7_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> v3_rlvect_1(g1_rlvect_1(u1_struct_0(A),u1_group_1(A),k2_group_1(A))) & v4_rlvect_1(g1_rlvect_1(u1_struct_0(A),u1_group_1(A),k2_group_1(A))) & v6_rlvect_1(g1_rlvect_1(u1_struct_0(A),u1_group_1(A),k2_group_1(A))) & v5_rlvect_1(g1_rlvect_1(u1_struct_0(A),u1_group_1(A),k2_group_1(A))))) # label(t97_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7121 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k3_group_1(B,k6_group_1(B,A,C)) = k6_group_1(B,A,k3_group_1(B,C)))))))) # label(t51_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7122 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (k1_group_1(B,C,D) = k1_group_1(B,D,C) -> k1_group_1(B,k6_group_1(B,A,C),k6_group_1(B,A,D)) = k6_group_1(B,A,k1_group_1(B,C,D))))))))))) # label(t54_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7123 (all A (v1_int_1(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (r1_xreal_0(np__0,A) -> k6_group_1(B,k1_int_2(A),C) = k6_group_1(B,A,C)))))))) # label(t55_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7124 (all A (-v3_struct_0(A) & l1_group_1(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_group_1(A,k1_group_1(A,B,C),D) = k1_group_1(A,B,k1_group_1(A,C,D)))))))) & (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (exists D (C = k1_group_1(A,D,B) & m1_subset_1(D,u1_struct_0(A)))) & (exists D (m1_subset_1(D,u1_struct_0(A)) & C = k1_group_1(A,B,D))))))) -> v4_group_1(A) & v3_group_1(A)))) # label(t6_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7125 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (v1_int_1(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (-r1_xreal_0(np__0,B) -> k3_group_1(A,k2_binop_1(u1_struct_0(A),k5_numbers,u1_struct_0(A),k5_group_1(A),C,k1_int_2(B))) = k6_group_1(A,B,C)) & (r1_xreal_0(np__0,B) -> k6_group_1(A,B,C) = k2_binop_1(u1_struct_0(A),k5_numbers,u1_struct_0(A),k5_group_1(A),C,k1_int_2(B))))))))) # label(d9_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7126 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> k6_finseqop(u1_struct_0(A),u1_group_1(A)) = k4_group_1(A))) # label(t37_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7127 (all A (-v3_struct_0(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> C = k1_group_1(A,B,C) & C = k1_group_1(A,C,B))) -> B = k2_group_1(A)))))) # label(t10_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7128 $T # label(t2_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7129 $T # label(t38_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7130 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (k6_group_1(B,A,C) = k2_group_1(B) -> r1_nat_1(k7_group_1(B,C),A)))))))) # label(t86_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7131 (all A (v1_int_1(A) -> (all B (-v3_struct_0(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (np__0 = A -> k6_group_1(B,A,C) = k2_group_1(B)))))))) # label(t59_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7132 $T # label(t30_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7133 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> k2_group_1(A) = k3_group_1(A,k2_group_1(A)))) # label(t16_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7134 $T # label(t88_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7135 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> k8_group_1(A) = k1_card_1(u1_struct_0(A)))) # label(d13_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7136 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_funct_1(B) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> k3_group_1(A,C) = k8_funct_2(u1_struct_0(A),u1_struct_0(A),B,C))) <-> k4_group_1(A) = B))))) # label(d7_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7137 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k1_group_1(B,C,k6_group_1(B,A,C)) = k6_group_1(B,k1_nat_1(A,np__1),C) & k6_group_1(B,k1_nat_1(A,np__1),C) = k1_group_1(B,k6_group_1(B,A,C),C))))))) # label(t49_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7138 $T # label(t3_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7139 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> -v5_group_1(k2_group_1(A),A))) # label(t79_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7140 $T # label(t40_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7141 (all A (v1_int_1(A) -> (all B (v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (r1_xreal_0(A,np__0) -> k6_group_1(B,A,C) = k3_group_1(B,k6_group_1(B,k1_int_2(A),C))))))))) # label(t60_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7142 (all A (l1_group_1(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)) -> k1_group_1(A,k1_group_1(A,B,C),D) = k1_group_1(A,B,k1_group_1(A,C,D)))))))) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> -(all C (m1_subset_1(C,u1_struct_0(A)) -> k1_group_1(A,C,B) = C & k1_group_1(A,B,C) = C & (exists D (B = k1_group_1(A,C,D) & k1_group_1(A,D,C) = B & m1_subset_1(D,u1_struct_0(A)))))))) | v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A)))) # label(t5_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7143 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(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)) -> (B = k1_group_1(A,D,k3_group_1(A,C)) <-> k1_group_1(A,B,C) = D))))))))) # label(t22_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7144 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> k7_group_1(A,k2_group_1(A)) = np__1)) # label(t84_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7145 $T # label(t58_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7146 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(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_group_1(A) = k1_group_1(A,B,C) & k2_group_1(A) = k1_group_1(A,C,B) -> k3_group_1(A,B) = C))))))) # label(t12_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7147 $T # label(t91_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7148 (all A (l1_group_1(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)) -> k1_group_1(A,B,C) = k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_group_1(A),B,C))))))) # label(d1_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7149 $T # label(t11_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7150 $T # label(t39_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7151 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k6_group_1(A,B,C) = k2_binop_1(u1_struct_0(A),k5_numbers,u1_struct_0(A),k5_group_1(A),C,B))))))) # label(d10_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7152 $T # label(t9_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7153 (all A (l1_group_1(A) -> l1_struct_0(A))) # label(dt_l1_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7154 (all A (l1_group_1(A) & v7_group_1(A) & v4_group_1(A) & v3_group_1(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)) -> k3_group_1(A,k10_group_1(A,B,C)) = k10_group_1(A,k3_group_1(A,B),k3_group_1(A,C)))))))) # label(t94_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7155 (all A (l1_group_1(A) & -v3_struct_0(A) -> (v2_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (B = k2_group_1(A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_group_1(A,B,C) = C & C = k1_group_1(A,C,B))))))))) # label(d5_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7156 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(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)) -> (k3_group_1(A,k1_group_1(A,B,C)) = k1_group_1(A,k3_group_1(A,B),k3_group_1(A,C)) <-> k1_group_1(A,C,B) = k1_group_1(A,B,C)))))))) # label(t26_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7157 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (v6_group_1(A) -> r1_xreal_0(np__1,k9_group_1(A))))) # label(t90_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7158 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_group_1(A,k3_group_1(A,C),k3_group_1(A,B)) = k3_group_1(A,k1_group_1(A,B,C)))))))) # label(t25_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7159 $T # label(t4_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7160 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_int_1(B) -> (all C (v3_group_1(C) & l1_group_1(C) & v4_group_1(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)) -> (k1_group_1(C,E,D) = k1_group_1(C,D,E) -> k1_group_1(C,k6_group_1(C,B,E),k6_group_1(C,A,D)) = k1_group_1(C,k6_group_1(C,A,D),k6_group_1(C,B,E))))))))))))) # label(t75_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7161 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k6_group_1(A,np__0,B) = k2_group_1(A))))) # label(t43_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7162 $T # label(t87_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7163 $T # label(t29_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7164 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k1_group_1(A,C,B) = k2_group_1(A) | k1_group_1(A,B,C) = k2_group_1(A) -> k3_group_1(A,C) = B & k3_group_1(A,B) = C))))))) # label(t20_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7165 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> ((all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (k6_group_1(A,C,B) = k2_group_1(A) -> C = np__0))) <-> v5_group_1(B,A)))))) # label(d11_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7166 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (all C (v3_group_1(C) & v4_group_1(C) & l1_group_1(C) & -v3_struct_0(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> k1_group_1(C,k6_group_1(C,A,D),k6_group_1(C,B,D)) = k6_group_1(C,k2_xcmplx_0(A,B),D))))))))) # label(t63_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7167 $T # label(t1_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7168 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (exists D (k1_group_1(A,D,B) = C & m1_subset_1(D,u1_struct_0(A)))))))))) # label(t24_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7169 (exists A (v1_group_1(A) & l1_group_1(A))) # label(rc1_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7170 (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 (g1_group_1(C,D) = g1_group_1(A,B) -> B = D & A = C)))) # label(free_g1_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7171 $T # label(t80_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7172 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) -> v2_binop_1(u1_group_1(A),u1_struct_0(A)))) # label(t31_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7173 (all A all B (v1_funct_1(B) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & -v1_xboole_0(A) -> v1_group_1(g1_group_1(A,B)) & -v3_struct_0(g1_group_1(A,B)))) # label(fc1_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7174 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> m2_subset_1(k9_group_1(A),k1_numbers,k5_numbers))) # label(dt_k9_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7175 (all A (v1_int_1(A) -> (all B (-v3_struct_0(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k6_group_1(B,k2_xcmplx_0(A,np__1),C) = k1_group_1(B,k6_group_1(B,A,C),C) & k1_group_1(B,C,k6_group_1(B,A,C)) = k6_group_1(B,k2_xcmplx_0(A,np__1),C))))))) # label(t66_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7176 $T # label(t93_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7177 $T # label(t81_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7178 (all A all B (v4_group_1(A) & l1_group_1(A) & m1_subset_1(B,u1_struct_0(A)) & v3_group_1(A) & -v3_struct_0(A) -> m2_subset_1(k7_group_1(A,B),k1_numbers,k5_numbers))) # label(dt_k7_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7179 (all A (v1_int_1(A) -> (all B (v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k6_group_1(B,k4_xcmplx_0(A),C) = k3_group_1(B,k6_group_1(B,A,C)))))))) # label(t70_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7180 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k3_group_1(A,B) = k6_group_1(A,k7_binop_2(np__1),B))))) # label(t62_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7181 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (k3_group_1(A,B) = k2_group_1(A) -> k2_group_1(A) = B))))) # label(t18_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7182 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all B (v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),k5_numbers),u1_struct_0(A)) & m2_relset_1(B,k2_zfmisc_1(u1_struct_0(A),k5_numbers),u1_struct_0(A)) & v1_funct_1(B) -> (B = k5_group_1(A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_group_1(A) = k2_binop_1(u1_struct_0(A),k5_numbers,u1_struct_0(A),B,C,np__0) & (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> k1_group_1(A,k2_binop_1(u1_struct_0(A),k5_numbers,u1_struct_0(A),B,C,D),C) = k2_binop_1(u1_struct_0(A),k5_numbers,u1_struct_0(A),B,C,k1_nat_1(D,np__1))))))))))) # label(d8_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7183 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(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)) -> (k1_group_1(A,B,C) = k1_group_1(A,C,B) <-> k1_group_1(A,k3_group_1(A,C),B) = k1_group_1(A,B,k3_group_1(A,C))))))))) # label(t28_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7184 (all A (v2_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> v1_setwiseo(u1_group_1(A),u1_struct_0(A)))) # label(t34_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7185 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (-v3_struct_0(C) & v3_group_1(C) & v4_group_1(C) & l1_group_1(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> k1_group_1(C,k6_group_1(C,A,D),k6_group_1(C,B,D)) = k6_group_1(C,k1_nat_1(A,B),D))))))))) # label(t48_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7186 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v3_struct_0(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) -> k6_group_1(B,A,k2_group_1(B)) = k2_group_1(B))))) # label(t42_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7187 $T # label(t13_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7188 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(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)) -> (k1_group_1(A,D,B) = k1_group_1(A,C,B) | k1_group_1(A,B,D) = k1_group_1(A,B,C) -> D = C))))))))) # label(t14_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7189 (all A all B all C (l1_group_1(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & v7_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k10_group_1(A,B,C),u1_struct_0(A)))) # label(dt_k10_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7190 $T # label(t41_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7191 (all A all B all C (-v1_xboole_0(A) & v1_funct_1(B) & m1_subset_1(C,A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) -> v1_rlvect_1(g1_rlvect_1(A,B,C)) & -v3_struct_0(g1_rlvect_1(A,B,C)))) # label(fc2_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7192 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k6_group_1(A,np__3,B) = k1_group_1(A,k1_group_1(A,B,B),B))))) # label(t46_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7193 (all A (v2_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> k2_group_1(A) = k3_binop_1(u1_struct_0(A),u1_group_1(A)))) # label(t33_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7194 (exists A (l1_group_1(A) & v1_group_1(A) & v3_group_1(A) & v7_group_1(A) & v4_group_1(A) & v2_group_1(A) & -v3_struct_0(A))) # label(rc4_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7195 (all A all B all C (l1_group_1(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & -v3_struct_0(A) -> m1_subset_1(k1_group_1(A,B,C),u1_struct_0(A)))) # label(dt_k1_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7196 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k3_group_1(A,k3_group_1(A,B)))))) # label(t19_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7197 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> v1_finseqop(u1_group_1(A),u1_struct_0(A)))) # label(t36_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7198 (all A (v1_int_1(A) -> (all B (v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (-r1_xreal_0(np__0,A) -> k3_group_1(B,k6_group_1(B,k1_int_2(A),C)) = k6_group_1(B,A,C)))))))) # label(t56_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7199 $T # label(t76_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7200 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_int_1(B) -> (all C (-v3_struct_0(C) & v3_group_1(C) & l1_group_1(C) & v4_group_1(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> k6_group_1(C,k3_xcmplx_0(A,B),D) = k6_group_1(C,B,k6_group_1(C,A,D)))))))))) # label(t68_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7201 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_int_1(B) -> (all C (-v3_struct_0(C) & l1_group_1(C) & v4_group_1(C) & v3_group_1(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> k6_group_1(C,k3_xcmplx_0(B,A),D) = k6_group_1(C,A,k6_group_1(C,B,D)))))))))) # label(t69_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7202 (all A (l1_group_1(A) & -v3_struct_0(A) -> (v7_group_1(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_group_1(A,C,B) = k1_group_1(A,B,C)))))))) # label(d16_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7203 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & v7_group_1(B) & l1_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> k6_group_1(B,A,k10_group_1(B,C,D)) = k10_group_1(B,k6_group_1(B,A,C),k6_group_1(B,A,D)))))))))) # label(t95_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7204 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> r1_finseqop(u1_struct_0(A),k4_group_1(A),u1_group_1(A)))) # label(t35_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7205 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (all C (-v3_struct_0(C) & v3_group_1(C) & v4_group_1(C) & l1_group_1(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> k6_group_1(C,k3_xcmplx_0(A,B),D) = k6_group_1(C,B,k6_group_1(C,A,D)))))))))) # label(t67_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7206 $T # label(t89_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7207 (all A (l1_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k2_group_1(A),u1_struct_0(A)))) # label(dt_k2_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7208 (all A all B (v4_group_1(A) & l1_group_1(A) & m1_subset_1(B,u1_struct_0(A)) & v3_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k3_group_1(A,B),u1_struct_0(A)))) # label(dt_k3_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7209 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (v6_group_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> ((exists C (v1_finset_1(C) & B = k4_card_1(C) & C = u1_struct_0(A))) <-> k9_group_1(A) = B)))))) # label(d15_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7210 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> v1_funct_1(k4_group_1(A)) & v1_funct_2(k4_group_1(A),u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(k4_group_1(A),u1_struct_0(A),u1_struct_0(A)))) # label(dt_k4_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7211 (all A (l1_group_1(A) -> (v1_group_1(A) -> g1_group_1(u1_struct_0(A),u1_group_1(A)) = A))) # label(abstractness_v1_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7212 (all A (l1_struct_0(A) -> (v1_finset_1(u1_struct_0(A)) <-> v6_group_1(A)))) # label(d14_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7213 (all A (l1_group_1(A) & -v3_struct_0(A) -> (v4_group_1(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_group_1(A,k1_group_1(A,B,C),D) = k1_group_1(A,B,k1_group_1(A,C,D))))))))))) # label(d4_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7214 $T # label(t78_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7215 $T # label(t83_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7216 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> v1_card_1(k8_group_1(A)))) # label(dt_k8_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7217 (exists A (-v3_struct_0(A) & v1_group_1(A) & l1_group_1(A))) # label(rc2_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7218 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (-v3_struct_0(C) & v4_group_1(C) & l1_group_1(C) & v3_group_1(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> k6_group_1(C,B,k6_group_1(C,A,D)) = k6_group_1(C,k2_nat_1(A,B),D))))))))) # label(t50_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7219 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(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)) -> (k1_group_1(A,B,C) = k1_group_1(A,C,B) <-> k1_group_1(A,k3_group_1(A,C),k3_group_1(A,B)) = k1_group_1(A,k3_group_1(A,B),k3_group_1(A,C))))))))) # label(t27_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7220 (all A all B all C (l1_group_1(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & v7_group_1(A) & -v3_struct_0(A) -> k10_group_1(A,B,C) = k10_group_1(A,C,B))) # label(commutativity_k10_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7221 (all A (l1_group_1(A) -> (-v3_struct_0(A) & v3_group_1(A) -> v2_group_1(A) & -v3_struct_0(A)))) # label(cc1_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7222 (all A (v2_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> r3_binop_1(u1_struct_0(A),k2_group_1(A),u1_group_1(A)))) # label(t32_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7223 $T # label(t8_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7224 (all A all B all C (-v3_struct_0(A) & m1_subset_1(C,u1_struct_0(A)) & v1_int_1(B) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> m1_subset_1(k6_group_1(A,B,C),u1_struct_0(A)))) # label(dt_k6_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7225 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (all C (-v3_struct_0(C) & l1_group_1(C) & v4_group_1(C) & v3_group_1(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (all E (m1_subset_1(E,u1_struct_0(C)) -> (k1_group_1(C,E,D) = k1_group_1(C,D,E) -> k1_group_1(C,k6_group_1(C,B,E),k6_group_1(C,A,D)) = k1_group_1(C,k6_group_1(C,A,D),k6_group_1(C,B,E))))))))))))) # label(t74_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7226 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (k1_group_1(B,D,C) = k1_group_1(B,C,D) -> k1_group_1(B,C,k6_group_1(B,A,D)) = k1_group_1(B,k6_group_1(B,A,D),C)))))))))) # label(t52_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7227 (exists A l1_group_1(A)) # label(existence_l1_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7228 (all A (l1_group_1(A) & -v3_struct_0(A) -> (v2_group_1(A) <-> (exists B ((all C (m1_subset_1(C,u1_struct_0(A)) -> k1_group_1(A,B,C) = C & C = k1_group_1(A,C,B))) & m1_subset_1(B,u1_struct_0(A))))))) # label(d2_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7229 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(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)) & k1_group_1(A,B,D) = C)))))))) # label(t23_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7230 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (-v5_group_1(B,A) -> (k7_group_1(A,B) = C <-> k6_group_1(A,C,B) = k2_group_1(A) & np__0 != C & (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (k2_group_1(A) = k6_group_1(A,D,B) -> r1_xreal_0(C,D) | D = np__0))))) & (v5_group_1(B,A) -> (C = k7_group_1(A,B) <-> C = np__0)))))))) # label(d12_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7231 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (k3_group_1(A,B) = B <-> k6_group_1(A,np__2,B) = k2_group_1(A)))))) # label(t47_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7232 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k1_group_1(A,B,C) = B | B = k1_group_1(A,C,B) -> k2_group_1(A) = C))))))) # label(t15_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7233 (all A (v1_int_1(A) -> (all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) -> k2_group_1(B) = k6_group_1(B,A,k2_group_1(B)))))) # label(t61_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7234 (all A (l1_group_1(A) & -v3_struct_0(A) -> m2_relset_1(k5_group_1(A),k2_zfmisc_1(u1_struct_0(A),k5_numbers),u1_struct_0(A)) & v1_funct_2(k5_group_1(A),k2_zfmisc_1(u1_struct_0(A),k5_numbers),u1_struct_0(A)) & v1_funct_1(k5_group_1(A)))) # label(dt_k5_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7235 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (v3_group_1(C) & l1_group_1(C) & v4_group_1(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)) -> (k1_group_1(C,E,D) = k1_group_1(C,D,E) -> k1_group_1(C,k6_group_1(C,A,D),k6_group_1(C,B,E)) = k1_group_1(C,k6_group_1(C,B,E),k6_group_1(C,A,D))))))))))))) # label(t53_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7236 (exists A (v2_group_1(A) & v4_group_1(A) & v3_group_1(A) & v1_group_1(A) & -v3_struct_0(A) & l1_group_1(A))) # label(rc3_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.59	7237 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(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)) -> (k3_group_1(A,B) = k3_group_1(A,C) -> C = B))))))) # label(t17_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7238 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_int_1(B) -> (all C (-v3_struct_0(C) & l1_group_1(C) & v4_group_1(C) & v3_group_1(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> k6_group_1(C,k2_xcmplx_0(B,A),D) = k1_group_1(C,k6_group_1(C,B,D),k6_group_1(C,A,D)))))))))) # label(t65_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7239 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k6_group_1(A,k7_group_1(A,B),B) = k2_group_1(A))))) # label(t82_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7240 (all A (v1_int_1(A) -> (all B (v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (k1_group_1(B,C,D) = k1_group_1(B,D,C) -> k1_group_1(B,C,k6_group_1(B,A,D)) = k1_group_1(B,k6_group_1(B,A,D),C)))))))))) # label(t77_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7241 $T # label(t57_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7242 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(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_group_1(A,B) <-> k1_group_1(A,C,B) = k2_group_1(A) & k2_group_1(A) = k1_group_1(A,B,C)))))))) # label(d6_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7243 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_int_1(B) -> (all C (v3_group_1(C) & l1_group_1(C) & v4_group_1(C) & -v3_struct_0(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> k1_group_1(C,k6_group_1(C,A,D),k6_group_1(C,B,D)) = k6_group_1(C,k2_xcmplx_0(A,B),D))))))))) # label(t64_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7244 (all A (v1_int_1(A) -> (all B (v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k6_group_1(B,A,k3_group_1(B,C)) = k3_group_1(B,k6_group_1(B,A,C)))))))) # label(t72_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7245 (all A all B all C (-v3_struct_0(A) & l1_group_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v7_group_1(A) -> k1_group_1(A,B,C) = k10_group_1(A,B,C))) # label(redefinition_k10_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7246 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k6_group_1(A,np__1,B))))) # label(t44_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7247 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k6_group_1(A,np__2,B) = k1_group_1(A,B,B))))) # label(t45_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7248 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k3_group_1(B,k6_group_1(B,A,C)) = k6_group_1(B,k7_binop_2(A),C))))))) # label(t71_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7249 (all A (l1_group_1(A) & -v3_struct_0(A) -> (v3_group_1(A) <-> (exists B (m1_subset_1(B,u1_struct_0(A)) & (all C (m1_subset_1(C,u1_struct_0(A)) -> (exists D (B = k1_group_1(A,C,D) & k1_group_1(A,D,C) = B & m1_subset_1(D,u1_struct_0(A)))) & k1_group_1(A,B,C) = C & C = k1_group_1(A,C,B)))))))) # label(d3_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7250 (all A (v1_int_1(A) -> (all B (v4_group_1(B) & v7_group_1(B) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> k6_group_1(B,A,k10_group_1(B,C,D)) = k10_group_1(B,k6_group_1(B,A,C),k6_group_1(B,A,D)))))))))) # label(t96_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7251 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(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)) -> (k1_group_1(A,k3_group_1(A,B),D) = C <-> D = k1_group_1(A,B,C)))))))))) # label(t21_group_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7252 $T # label(t30_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7253 (all A (v5_rlvect_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(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)) -> k1_group_1(A,B,C) = k1_group_1(A,k5_rlvect_1(A,B),k5_rlvect_1(A,C)))))))) # label(t42_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7254 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_group_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v6_rlvect_1(C) & v12_vectsp_1(C,A) & l4_vectsp_1(C,A) & v5_rlvect_1(C) & v4_rlvect_1(C) & -v3_struct_0(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (k1_rlvect_1(A) != B -> k6_vectsp_1(A,C,k4_vectsp_1(A,B),k6_vectsp_1(A,C,B,D)) = D))))))))) # label(t67_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7255 (all A all B all C all D all E (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & m1_subset_1(D,A) & m1_subset_1(E,A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) -> l3_vectsp_1(g3_vectsp_1(A,B,C,D,E)) & v3_vectsp_1(g3_vectsp_1(A,B,C,D,E)))) # label(dt_g3_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7256 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (B != k1_rlvect_1(A) -> k1_rlvect_1(A) != k5_rlvect_1(A,k4_vectsp_1(A,B)) & k4_vectsp_1(A,B) != k1_rlvect_1(A)))))) # label(t74_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7257 (all A all B (l4_vectsp_1(B,A) & l1_struct_0(A) -> (v11_vectsp_1(B,A) -> B = g4_vectsp_1(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u2_vectsp_1(A,B))))) # label(abstractness_v11_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7258 (exists A l1_vectsp_1(A)) # label(existence_l1_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7259 $T # label(t23_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7260 (all A (-v3_struct_0(A) & l1_rlvect_1(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (k2_rlvect_1(A,B,B) = k1_rlvect_1(A) -> k1_rlvect_1(A) = B))) <-> v13_vectsp_1(A)))) # label(d28_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7261 (all A (l1_vectsp_1(A) -> (v2_group_1(A) & -v3_struct_0(A) -> -v3_struct_0(A) & v8_vectsp_1(A) & v6_vectsp_1(A)))) # label(cc3_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7262 $T # label(t29_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7263 (exists A (l2_vectsp_1(A) & v2_vectsp_1(A))) # label(rc4_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7264 (all A all B all C all D (-v3_struct_0(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) & l4_vectsp_1(B,A) & l1_struct_0(A) & -v3_struct_0(A) -> m1_subset_1(k6_vectsp_1(A,B,C,D),u1_struct_0(B)))) # label(dt_k6_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7265 $T # label(d10_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7266 (exists A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & v1_rlvect_1(A) & -v3_struct_0(A) & l1_rlvect_1(A))) # label(rc1_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7267 (all A (l3_vectsp_1(A) -> (v5_vectsp_1(A) & v4_vectsp_1(A) & -v3_struct_0(A) -> v7_vectsp_1(A) & -v3_struct_0(A)))) # label(cc2_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7268 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v5_vectsp_1(A) & l3_vectsp_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k1_rlvect_1(A) = k1_group_1(A,k1_rlvect_1(A),B))))) # label(t39_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7269 (all A (-v3_struct_0(A) & l1_vectsp_1(A) -> (v6_vectsp_1(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> k1_group_1(A,B,k2_group_1(A)) = B))))) # label(d13_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7270 (all A (-v3_struct_0(A) & l3_vectsp_1(A) -> (v7_vectsp_1(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_group_1(A,B,k2_rlvect_1(A,C,D)) = k2_rlvect_1(A,k1_group_1(A,B,C),k1_group_1(A,B,D)) & k1_group_1(A,k2_rlvect_1(A,C,D),B) = k2_rlvect_1(A,k1_group_1(A,C,B),k1_group_1(A,D,B))))))))))) # label(d18_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7271 (all A (l1_vectsp_1(A) & -v3_struct_0(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> B = k1_group_1(A,k2_group_1(A),B))) <-> v8_vectsp_1(A)))) # label(d19_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7272 (all A (l1_vectsp_1(A) -> u1_vectsp_1(A) = k2_vectsp_1(A))) # label(d9_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7273 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> k5_rlvect_1(B,k6_vectsp_1(A,B,C,D)) = k6_vectsp_1(A,B,k5_rlvect_1(A,C),D) & k6_rlvect_1(B,E,k6_vectsp_1(A,B,C,D)) = k2_rlvect_1(B,E,k6_vectsp_1(A,B,k5_rlvect_1(A,C),D)))))))))))) # label(t68_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7274 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k5_rlvect_1(A,B) = C <-> k2_rlvect_1(A,B,C) = k1_rlvect_1(A)))))))) # label(t63_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7275 $T # label(t2_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7276 $T # label(d17_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7277 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k6_rlvect_1(A,B,k1_rlvect_1(A)) = B & k6_rlvect_1(A,k1_rlvect_1(A),B) = k5_rlvect_1(A,B))))) # label(t65_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7278 $T # label(t18_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7279 (all A (l1_struct_0(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l4_vectsp_1(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> k6_vectsp_1(A,B,C,D) = k2_binop_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u2_vectsp_1(A,B),C,D))))))))) # label(d24_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7280 (exists A (v3_vectsp_1(A) & -v3_struct_0(A) & l3_vectsp_1(A))) # label(rc7_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7281 (all A all B all C all D (m1_relset_1(B,k2_zfmisc_1(A,A),A) & m1_subset_1(D,A) & m1_subset_1(C,A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all E all F all G all H (g2_vectsp_1(E,F,G,H) = g2_vectsp_1(A,B,C,D) -> C = G & D = H & F = B & E = A)))) # label(free_g2_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7282 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (k2_rlvect_1(A,k2_group_1(A),k2_group_1(A)) != k1_rlvect_1(A) <-> v13_vectsp_1(A)))) # label(d29_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7283 (exists A (v1_vectsp_1(A) & -v3_struct_0(A) & l1_vectsp_1(A))) # label(rc3_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7284 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k1_rlvect_1(A) = k6_rlvect_1(A,B,C) -> B = C))))))) # label(t84_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7285 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(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)) -> k6_rlvect_1(A,k6_rlvect_1(A,B,D),C) = k6_rlvect_1(A,k6_rlvect_1(A,B,C),D))))))))) # label(t93_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7286 (all A (l1_vectsp_1(A) -> (v1_vectsp_1(A) -> g1_vectsp_1(u1_struct_0(A),u1_group_1(A),u1_vectsp_1(A)) = A))) # label(abstractness_v1_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7287 (exists A (l1_rlvect_1(A) & -v3_struct_0(A) & v13_vectsp_1(A))) # label(rc14_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7288 (all A (l1_struct_0(A) -> (all B (l4_vectsp_1(B,A) -> l1_rlvect_1(B))))) # label(dt_l4_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7289 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> k5_rlvect_1(B,k6_vectsp_1(A,B,C,D)) = k6_vectsp_1(A,B,C,k5_rlvect_1(B,D)))))))))) # label(t69_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7290 (all A (l2_vectsp_1(A) -> l2_struct_0(A) & l1_vectsp_1(A))) # label(dt_l2_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7291 (exists A l2_vectsp_1(A)) # label(existence_l2_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7292 $T # label(t3_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7293 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k5_rlvect_1(A,k2_rlvect_1(A,k5_rlvect_1(A,C),k5_rlvect_1(A,B))) = k2_rlvect_1(A,B,C))))))) # label(t89_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7294 $T # label(t48_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7295 (all A (l3_vectsp_1(A) -> (-v3_struct_0(A) & v7_vectsp_1(A) -> v4_vectsp_1(A) & v5_vectsp_1(A) & -v3_struct_0(A)))) # label(cc1_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7296 (all A all B all C (v7_vectsp_1(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l3_vectsp_1(A) & v9_vectsp_1(A) & v8_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k5_vectsp_1(A,B,C),u1_struct_0(A)))) # label(dt_k5_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7297 (all A (l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(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)) -> (k6_rlvect_1(A,B,C) = k1_rlvect_1(A) -> k6_rlvect_1(A,C,B) = k1_rlvect_1(A)))))))) # label(t87_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7298 $T # label(d3_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7299 (all A (l1_vectsp_1(A) -> m1_subset_1(k2_vectsp_1(A),u1_struct_0(A)))) # label(dt_k2_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7300 (all A (l1_struct_0(A) -> (exists B l4_vectsp_1(B,A)))) # label(existence_l4_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7301 (all A (-v3_struct_0(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_rlvect_1(A,k5_rlvect_1(A,C),B) = k5_rlvect_1(A,k2_rlvect_1(A,k5_rlvect_1(A,B),C)))))))) # label(t92_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7302 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (k1_rlvect_1(A) = k5_rlvect_1(A,B) -> B = k1_rlvect_1(A)))))) # label(t86_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7303 $T # label(t13_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7304 (exists A (l2_vectsp_1(A) & v2_vectsp_1(A) & -v3_struct_0(A))) # label(rc5_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7305 $T # label(t61_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7306 $T # label(t51_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7307 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (B != k1_rlvect_1(A) -> B = k4_vectsp_1(A,k4_vectsp_1(A,B))))))) # label(t73_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7308 (all A (l1_struct_0(A) -> (exists B (-v3_struct_0(B) & v11_vectsp_1(B,A) & l4_vectsp_1(B,A))))) # label(rc12_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7309 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(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_rlvect_1(A,B,k5_rlvect_1(A,C)) = k1_rlvect_1(A) -> B = C) & (k1_rlvect_1(A) = k6_rlvect_1(A,B,C) -> C = B) & (C = B -> k1_rlvect_1(A) = k6_rlvect_1(A,B,C)) & (B = C -> k2_rlvect_1(A,B,k5_rlvect_1(A,C)) = k1_rlvect_1(A)))))))) # label(t66_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7310 $T # label(t12_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7311 $T # label(d14_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7312 $T # label(d4_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7313 $T # label(t4_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7314 $T # label(d1_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7315 (all A all B all C all D all E (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & v1_funct_2(E,k2_zfmisc_1(u1_struct_0(A),B),B) & m1_relset_1(E,k2_zfmisc_1(u1_struct_0(A),B),B) & v1_funct_1(E) & m1_subset_1(D,B) & m1_relset_1(C,k2_zfmisc_1(B,B),B) & l1_struct_0(A) -> l4_vectsp_1(g4_vectsp_1(A,B,C,D,E),A) & v11_vectsp_1(g4_vectsp_1(A,B,C,D,E),A))) # label(dt_g4_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7316 $T # label(t50_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7317 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> k6_vectsp_1(A,B,C,k6_rlvect_1(B,D,E)) = k6_rlvect_1(B,k6_vectsp_1(A,B,C,D),k6_vectsp_1(A,B,C,E)))))))))))) # label(t70_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7318 (exists A (v4_group_1(A) & v7_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & v2_group_1(A) & -v3_struct_0(A) & l1_vectsp_1(A))) # label(rc9_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7319 $T # label(t52_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7320 $T # label(d8_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7321 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> -v3_struct_0(g1_group_1(u1_struct_0(A),u1_rlvect_1(A))) & v4_group_1(g1_group_1(u1_struct_0(A),u1_rlvect_1(A))) & v7_group_1(g1_group_1(u1_struct_0(A),u1_rlvect_1(A))) & l1_group_1(g1_group_1(u1_struct_0(A),u1_rlvect_1(A))) & v3_group_1(g1_group_1(u1_struct_0(A),u1_rlvect_1(A))))) # label(t94_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7322 $T # label(t75_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.03/118.60	7323 $T # label(t76_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7324 (all A all B (v7_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & m1_subset_1(B,u1_struct_0(A)) & l3_vectsp_1(A) & v9_vectsp_1(A) & v4_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k4_vectsp_1(A,B),u1_struct_0(A)))) # label(dt_k4_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7325 (all A (l1_rlvect_1(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_rlvect_1(A,C,B) = k2_rlvect_1(A,B,C) & k2_rlvect_1(A,B,k1_rlvect_1(A)) = B & (exists E (m1_subset_1(E,u1_struct_0(A)) & k1_rlvect_1(A) = k2_rlvect_1(A,B,E))) & k2_rlvect_1(A,k2_rlvect_1(A,B,C),D) = k2_rlvect_1(A,B,k2_rlvect_1(A,C,D)))))))) <-> -v3_struct_0(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A)))) # label(t7_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7326 $T # label(t9_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7327 $T # label(d16_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7328 (all A all B all C (m1_relset_1(B,k2_zfmisc_1(A,A),A) & m1_subset_1(C,A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> l1_vectsp_1(g1_vectsp_1(A,B,C)) & v1_vectsp_1(g1_vectsp_1(A,B,C)))) # label(dt_g1_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7329 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v4_rlvect_1(C) & v12_vectsp_1(C,A) & l4_vectsp_1(C,A) & v6_rlvect_1(C) & v5_rlvect_1(C) & -v3_struct_0(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (k6_vectsp_1(A,C,B,D) = k1_rlvect_1(C) <-> D = k1_rlvect_1(C) | k1_rlvect_1(A) = B))))))))) # label(t60_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7330 $T # label(t71_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7331 (all A (m1_subset_1(A,u1_struct_0(k3_vectsp_1)) -> (all B (m1_subset_1(B,u1_struct_0(k3_vectsp_1)) -> (all C (m1_subset_1(C,u1_struct_0(k3_vectsp_1)) -> k4_rlvect_1(k3_vectsp_1,B,A) = k4_rlvect_1(k3_vectsp_1,A,B) & A = k4_rlvect_1(k3_vectsp_1,A,k1_rlvect_1(k3_vectsp_1)) & k10_group_1(k3_vectsp_1,k4_rlvect_1(k3_vectsp_1,B,C),A) = k4_rlvect_1(k3_vectsp_1,k10_group_1(k3_vectsp_1,B,A),k10_group_1(k3_vectsp_1,C,A)) & k4_rlvect_1(k3_vectsp_1,k10_group_1(k3_vectsp_1,A,B),k10_group_1(k3_vectsp_1,A,C)) = k10_group_1(k3_vectsp_1,A,k4_rlvect_1(k3_vectsp_1,B,C)) & -((all D (m1_subset_1(D,u1_struct_0(k3_vectsp_1)) -> k10_group_1(k3_vectsp_1,A,D) != k2_group_1(k3_vectsp_1))) & A != k1_rlvect_1(k3_vectsp_1)) & A = k10_group_1(k3_vectsp_1,k2_group_1(k3_vectsp_1),A) & k10_group_1(k3_vectsp_1,A,k10_group_1(k3_vectsp_1,B,C)) = k10_group_1(k3_vectsp_1,k10_group_1(k3_vectsp_1,A,B),C) & k10_group_1(k3_vectsp_1,A,B) = k10_group_1(k3_vectsp_1,B,A) & k1_rlvect_1(k3_vectsp_1) = k4_rlvect_1(k3_vectsp_1,A,k5_rlvect_1(k3_vectsp_1,A)) & k4_rlvect_1(k3_vectsp_1,A,k4_rlvect_1(k3_vectsp_1,B,C)) = k4_rlvect_1(k3_vectsp_1,k4_rlvect_1(k3_vectsp_1,A,B),C))))))) # label(t21_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7332 (all A (l1_vectsp_1(A) -> (v8_vectsp_1(A) & v7_group_1(A) & -v3_struct_0(A) -> v6_vectsp_1(A) & -v3_struct_0(A)))) # label(cc5_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7333 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(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)) -> k6_rlvect_1(A,C,D) = k6_rlvect_1(A,k2_rlvect_1(A,C,B),k2_rlvect_1(A,D,B)))))))))) # label(t90_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7334 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_group_1(A,k5_rlvect_1(A,B),C) = k5_rlvect_1(A,k1_group_1(A,B,C)))))))) # label(t41_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7335 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> m2_relset_1(k7_vectsp_1(A),u1_struct_0(A),u1_struct_0(A)) & v1_funct_2(k7_vectsp_1(A),u1_struct_0(A),u1_struct_0(A)) & v1_funct_1(k7_vectsp_1(A)))) # label(dt_k7_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7336 (all A (l1_vectsp_1(A) -> (-v3_struct_0(A) & v8_vectsp_1(A) & v6_vectsp_1(A) -> v2_group_1(A) & -v3_struct_0(A)))) # label(cc4_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7337 $T # label(t31_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7338 $T # label(t27_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7339 (all A (-v3_struct_0(A) & l1_rlvect_1(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> k5_rlvect_1(A,C) = k8_funct_2(u1_struct_0(A),u1_struct_0(A),B,C))) <-> k7_vectsp_1(A) = B))))) # label(d25_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7340 (exists A l3_vectsp_1(A)) # label(existence_l3_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7341 (all A (l3_vectsp_1(A) -> (v3_vectsp_1(A) -> g3_vectsp_1(u1_struct_0(A),u1_rlvect_1(A),u1_group_1(A),u1_vectsp_1(A),u2_struct_0(A)) = A))) # label(abstractness_v3_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7342 (all A (l1_vectsp_1(A) -> l1_group_1(A))) # label(dt_l1_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7343 (all A all B all C all D (v1_funct_1(B) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & m1_subset_1(C,A) & m1_subset_1(D,A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) -> l2_vectsp_1(g2_vectsp_1(A,B,C,D)) & v2_vectsp_1(g2_vectsp_1(A,B,C,D)))) # label(dt_g2_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7344 $T # label(t28_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7345 $T # label(t16_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7346 $T # label(t91_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7347 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v3_struct_0(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & l4_vectsp_1(C,A) & v12_vectsp_1(C,A) & v6_rlvect_1(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> k1_rlvect_1(C) = k6_vectsp_1(A,C,k1_rlvect_1(A),D) & k5_rlvect_1(C,D) = k6_vectsp_1(A,C,k5_rlvect_1(A,k2_group_1(A)),D) & k1_rlvect_1(C) = k6_vectsp_1(A,C,B,k1_rlvect_1(C)))))))))) # label(t59_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7348 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(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)) -> k5_rlvect_1(A,k2_rlvect_1(A,C,D)) = k6_rlvect_1(A,k5_rlvect_1(A,D),C) & k5_rlvect_1(A,k2_rlvect_1(A,D,k5_rlvect_1(A,C))) = k6_rlvect_1(A,C,D) & k6_rlvect_1(A,B,k2_rlvect_1(A,D,C)) = k6_rlvect_1(A,k6_rlvect_1(A,B,C),D) & k2_rlvect_1(A,D,C) = k5_rlvect_1(A,k6_rlvect_1(A,k5_rlvect_1(A,C),D)) & k5_rlvect_1(A,k6_rlvect_1(A,C,D)) = k2_rlvect_1(A,D,k5_rlvect_1(A,C)))))))))) # label(t64_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7349 $T # label(t80_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7350 $T # label(t47_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7351 (all A (l2_vectsp_1(A) & -v3_struct_0(A) -> (k1_rlvect_1(A) = k2_group_1(A) <-> v10_vectsp_1(A)))) # label(d21_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7352 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k5_rlvect_1(A,k6_rlvect_1(A,B,C)) = k6_rlvect_1(A,C,B))))))) # label(t81_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7353 (exists A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v7_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & -v10_vectsp_1(A) & v13_vectsp_1(A) & v9_vectsp_1(A) & v6_vectsp_1(A) & v3_vectsp_1(A) & v4_group_1(A) & v2_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & l3_vectsp_1(A))) # label(rc15_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7354 (all A (-v3_struct_0(A) & v4_group_1(A) & v7_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v9_vectsp_1(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)) -> (k10_group_1(A,B,C) = k10_group_1(A,B,D) -> C = D | k1_rlvect_1(A) = B))))))))) # label(t33_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7355 (all A all B all C all D all E (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(E,A) & m1_subset_1(D,A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) -> (all F all G all H all I all J (g3_vectsp_1(A,B,C,D,E) = g3_vectsp_1(F,G,H,I,J) -> A = F & H = C & J = E & I = D & B = G)))) # label(free_g3_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7356 $T # label(t17_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7357 (all A (v6_rlvect_1(A) & v5_vectsp_1(A) & l3_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(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)) -> k6_rlvect_1(A,k1_group_1(A,B,D),k1_group_1(A,C,D)) = k1_group_1(A,k6_rlvect_1(A,B,C),D))))))))) # label(t45_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7358 (all A all B (l4_vectsp_1(B,A) & l1_struct_0(A) -> v1_funct_1(u2_vectsp_1(A,B)) & m2_relset_1(u2_vectsp_1(A,B),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(B)) & v1_funct_2(u2_vectsp_1(A,B),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(B)))) # label(dt_u2_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7359 $T # label(d5_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7360 $T # label(t82_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7361 $T # label(d7_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7362 $T # label(t77_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7363 $T # label(t54_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7364 $T # label(t56_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7365 (all A all B all C all D all E (-v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_relset_1(C,k2_zfmisc_1(B,B),B) & m1_subset_1(D,B) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(u1_struct_0(A),B),B) & m1_relset_1(E,k2_zfmisc_1(u1_struct_0(A),B),B) & l1_struct_0(A) -> v11_vectsp_1(g4_vectsp_1(A,B,C,D,E),A) & -v3_struct_0(g4_vectsp_1(A,B,C,D,E)))) # label(fc6_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7366 $T # label(t62_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7367 $T # label(t34_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7368 (all A (m1_subset_1(A,u1_struct_0(k1_vectsp_1)) -> (all B (m1_subset_1(B,u1_struct_0(k1_vectsp_1)) -> (all C (m1_subset_1(C,u1_struct_0(k1_vectsp_1)) -> k4_rlvect_1(k1_vectsp_1,k4_rlvect_1(k1_vectsp_1,A,B),C) = k4_rlvect_1(k1_vectsp_1,A,k4_rlvect_1(k1_vectsp_1,B,C)) & k4_rlvect_1(k1_vectsp_1,A,k5_rlvect_1(k1_vectsp_1,A)) = k1_rlvect_1(k1_vectsp_1) & A = k4_rlvect_1(k1_vectsp_1,A,k1_rlvect_1(k1_vectsp_1)) & k4_rlvect_1(k1_vectsp_1,A,B) = k4_rlvect_1(k1_vectsp_1,B,A))))))) # label(t6_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7369 $T # label(t85_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7370 (all A (-v3_struct_0(A) & l2_vectsp_1(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> -((all C (m1_subset_1(C,u1_struct_0(A)) -> k1_group_1(A,B,C) != k2_group_1(A))) & B != k1_rlvect_1(A)))) <-> v9_vectsp_1(A)))) # label(d20_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7371 (exists A (l1_group_1(A) & v7_group_1(A) & v4_group_1(A) & -v3_struct_0(A))) # label(rc8_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7372 (all A (l3_vectsp_1(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_rlvect_1(A,k1_group_1(A,C,B),k1_group_1(A,D,B)) = k1_group_1(A,k2_rlvect_1(A,C,D),B) & k2_rlvect_1(A,k1_group_1(A,B,C),k1_group_1(A,B,D)) = k1_group_1(A,B,k2_rlvect_1(A,C,D)) & -(k1_rlvect_1(A) != B & (all E (m1_subset_1(E,u1_struct_0(A)) -> k2_group_1(A) != k1_group_1(A,B,E)))))))))) <-> -v3_struct_0(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A)))) # label(t22_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7373 (all A (l1_struct_0(A) -> (exists B (l4_vectsp_1(B,A) & v11_vectsp_1(B,A))))) # label(rc11_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7374 $T # label(t1_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7375 (all A (-v3_struct_0(A) & v7_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (B != k1_rlvect_1(A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (C = k4_vectsp_1(A,B) <-> k10_group_1(A,B,C) = k2_group_1(A))))))))) # label(d22_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7376 (all A (-v3_struct_0(A) & l3_vectsp_1(A) -> (all B (l4_vectsp_1(B,A) & -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_subset_1(E,u1_struct_0(B)) -> (all F (m1_subset_1(F,u1_struct_0(B)) -> k2_rlvect_1(B,k6_vectsp_1(A,B,C,E),k6_vectsp_1(A,B,C,F)) = k6_vectsp_1(A,B,C,k2_rlvect_1(B,E,F)) & k6_vectsp_1(A,B,k1_group_1(A,C,D),E) = k6_vectsp_1(A,B,C,k6_vectsp_1(A,B,D,E)) & k6_vectsp_1(A,B,k2_group_1(A),E) = E & k2_rlvect_1(B,k6_vectsp_1(A,B,C,E),k6_vectsp_1(A,B,D,E)) = k6_vectsp_1(A,B,k2_rlvect_1(A,C,D),E))))))))) <-> v12_vectsp_1(B,A)))))) # label(d26_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7377 $T # label(t15_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7378 $T # label(t58_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7379 $T # label(t11_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7380 (all A all B all C (v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(C,A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all D all E all F (g1_vectsp_1(A,B,C) = g1_vectsp_1(D,E,F) -> D = A & C = F & B = E)))) # label(free_g1_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7381 $T # label(t5_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7382 (all A (l1_vectsp_1(A) -> m1_subset_1(u1_vectsp_1(A),u1_struct_0(A)))) # label(dt_u1_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7383 $T # label(t19_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7384 $T # label(t79_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7385 (all A (l3_vectsp_1(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_rlvect_1(A,k1_group_1(A,C,B),k1_group_1(A,D,B)) = k1_group_1(A,k2_rlvect_1(A,C,D),B))))))) <-> v5_vectsp_1(A)))) # label(d12_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7386 $T # label(t57_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7387 $T # label(t35_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7388 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & v4_vectsp_1(A) & l3_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(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)) -> k6_rlvect_1(A,k1_group_1(A,B,C),k1_group_1(A,B,D)) = k1_group_1(A,B,k6_rlvect_1(A,C,D)))))))))) # label(t43_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7389 (all A (l3_vectsp_1(A) -> l1_rlvect_1(A) & l2_vectsp_1(A))) # label(dt_l3_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7390 $T # label(t24_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7391 $T # label(t55_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7392 $T # label(t32_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7393 (all A (v6_rlvect_1(A) & l3_vectsp_1(A) & v4_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(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)) -> k5_rlvect_1(A,k1_group_1(A,B,C)) = k1_group_1(A,B,k5_rlvect_1(A,C)))))))) # label(t40_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7394 $T # label(t14_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7395 $T # label(t38_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7396 (all A all B all C all D all E (l1_struct_0(A) & v1_funct_1(C) & m1_subset_1(D,B) & v1_funct_1(E) & m1_relset_1(E,k2_zfmisc_1(u1_struct_0(A),B),B) & v1_funct_2(E,k2_zfmisc_1(u1_struct_0(A),B),B) & m1_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) -> (all F all G all H all I all J (g4_vectsp_1(F,G,H,I,J) = g4_vectsp_1(A,B,C,D,E) -> A = F & G = B & C = H & J = E & D = I)))) # label(free_g4_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7397 $T # label(t26_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7398 $T # label(t10_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7399 $T # label(t53_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7400 (exists A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v2_group_1(A) & v4_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v6_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v3_vectsp_1(A) & v7_group_1(A) & v3_rlvect_1(A) & l3_vectsp_1(A))) # label(rc10_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7401 $T # label(t83_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7402 (all A (l2_vectsp_1(A) -> (v2_vectsp_1(A) -> A = g2_vectsp_1(u1_struct_0(A),u1_group_1(A),u1_vectsp_1(A),u2_struct_0(A))))) # label(abstractness_v2_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7403 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (exists B (l4_vectsp_1(B,A) & -v3_struct_0(B) & v5_rlvect_1(B) & v11_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B))))) # label(rc13_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7404 $T # label(d2_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7405 (exists A (l3_vectsp_1(A) & v3_vectsp_1(A))) # label(rc6_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7406 $T # label(t37_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7407 (exists A (l1_vectsp_1(A) & v1_vectsp_1(A))) # label(rc2_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7408 $T # label(t46_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7409 $T # label(d27_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7410 $T # label(t25_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7411 (all A (v3_rlvect_1(A) & v4_group_1(A) & v7_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(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)) -> (k1_rlvect_1(A) = k6_rlvect_1(A,C,k10_group_1(A,D,B)) -> k10_group_1(A,C,k4_vectsp_1(A,B)) = D | B = k1_rlvect_1(A)) & (k6_rlvect_1(A,k10_group_1(A,B,D),C) = k1_rlvect_1(A) -> k10_group_1(A,C,k4_vectsp_1(A,B)) = D | B = k1_rlvect_1(A)))))))))) # label(t88_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7412 (all A (v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v9_vectsp_1(A) & v7_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(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 = k1_rlvect_1(A) | k1_rlvect_1(A) = C <-> k1_rlvect_1(A) = k10_group_1(A,B,C)))))))) # label(t44_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7413 (all A (-v3_struct_0(A) & v4_group_1(A) & v7_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v9_vectsp_1(A) & v8_vectsp_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k10_group_1(A,B,k4_vectsp_1(A,C)) = k5_vectsp_1(A,B,C))))))) # label(d23_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7414 $T # label(t49_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7415 $T # label(t72_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7416 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v4_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k1_group_1(A,B,k1_rlvect_1(A)) = k1_rlvect_1(A))))) # label(t36_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7417 $T # label(t8_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7418 (all A (-v3_struct_0(A) & l3_vectsp_1(A) -> (v4_vectsp_1(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_group_1(A,B,k2_rlvect_1(A,C,D)) = k2_rlvect_1(A,k1_group_1(A,B,C),k1_group_1(A,B,D))))))))))) # label(d11_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7419 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) & -v3_struct_0(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) -> (v2_compts_1(A) & k2_relat_1(C) = k2_pre_topc(B) & v5_pre_topc(C,A,B) -> v2_compts_1(B)))))))) # label(t23_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7420 (all A (l1_pre_topc(A) -> (v3_compts_1(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))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(E,A) & r2_hidden(B,D) & r2_hidden(C,E) & r1_xboole_0(D,E) & v3_pre_topc(D,A)))))) & B != C)))))))) # label(d4_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7421 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(C,k2_pre_topc(B)) -> (v6_compts_1(C,A) <-> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (D = C -> v6_compts_1(D,B)))))))))))) # label(t11_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7422 $T # label(t6_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7423 $T # label(t4_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7424 (all A (l1_pre_topc(A) -> (all 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))) -> (v6_compts_1(C,A) & v6_compts_1(B,A) -> v6_compts_1(k4_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t19_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7425 (all A (l1_pre_topc(A) -> v6_compts_1(k1_pre_topc(A),A))) # label(t9_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.60	7426 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(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)) -> (v3_compts_1(B) & k2_relat_1(C) = k2_pre_topc(B) & v5_pre_topc(C,A,B) & v2_compts_1(A) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(D,A) -> v4_pre_topc(k4_pre_topc(A,B,C,D),B))))))))))) # label(t25_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7427 (all A (l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_compts_1(A,B,C) <-> r1_tarski(C,k5_setfam_1(u1_struct_0(A),B))))))))) # label(d1_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7428 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v2_pre_topc(A) -> k1_xboole_0 = B | (v6_compts_1(B,A) <-> v2_compts_1(k3_pre_topc(A,B)))) & (k1_xboole_0 = B -> (v2_compts_1(k3_pre_topc(A,B)) <-> v6_compts_1(B,A))))))) # label(t12_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7429 (all A (l1_pre_topc(A) -> ((all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(r1_pre_topc(A,B) & (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(r1_tarski(C,B) & r1_pre_topc(A,C) & v1_finset_1(C)))) & v1_tops_2(B,A)))) <-> v2_compts_1(A)))) # label(d3_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7430 $T # label(t5_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7431 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (v3_compts_1(A) & v2_compts_1(A) -> v5_compts_1(A)))) # label(t22_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7432 $T # label(t2_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7433 $T # label(t8_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7434 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(B,A) & v2_compts_1(A) -> v6_compts_1(B,A)))))) # label(t17_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7435 $T # label(t1_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7436 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (v2_compts_1(A) & v3_compts_1(A) -> v4_compts_1(A)))) # label(t21_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7437 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (v3_compts_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v6_compts_1(B,A) -> B = k1_xboole_0 | (all C (m1_subset_1(C,u1_struct_0(A)) -> -(r2_hidden(C,k3_subset_1(u1_struct_0(A),B)) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> -(r2_hidden(C,D) & r1_tarski(B,E) & r1_xboole_0(D,E) & v3_pre_topc(E,A) & v3_pre_topc(D,A))))))))))))))) # label(t15_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7438 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all 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))) -> (r1_tarski(C,B) & v4_pre_topc(C,A) & v6_compts_1(B,A) -> v6_compts_1(C,A)))))))) # label(t18_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7439 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) & -v3_struct_0(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) -> (v2_compts_1(A) & k1_relat_1(C) = k2_pre_topc(A) & k2_pre_topc(B) = k2_relat_1(C) & v5_pre_topc(C,A,B) & v2_funct_1(C) & v3_compts_1(B) -> v3_tops_2(C,A,B)))))))) # label(t26_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7440 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all 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))) -> (v3_compts_1(A) & v6_compts_1(B,A) & v6_compts_1(C,A) -> v6_compts_1(k5_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t20_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7441 (all A (l1_pre_topc(A) -> ((all 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))) -> -(k1_xboole_0 != B & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> -(r1_tarski(B,D) & r1_xboole_0(D,E) & r1_tarski(C,E) & v3_pre_topc(E,A) & v3_pre_topc(D,A)))))) & r1_xboole_0(B,C) & v4_pre_topc(C,A) & v4_pre_topc(B,A) & C != k1_xboole_0))))) <-> v5_compts_1(A)))) # label(d6_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7442 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> ((all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(v1_compts_1(B) & v2_tops_2(B,A) & k6_setfam_1(u1_struct_0(A),B) = k1_xboole_0))) <-> v2_compts_1(A)))) # label(t13_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7443 (all A (v1_compts_1(A) <-> (all B -(r1_tarski(B,A) & v1_finset_1(B) & k1_setfam_1(B) = k1_xboole_0 & k1_xboole_0 != B)) & k1_xboole_0 != A)) # label(d2_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7444 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_compts_1(A) & v6_compts_1(B,A) -> v4_pre_topc(B,A)))))) # label(t16_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7445 $T # label(t3_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7446 $T # label(t7_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7447 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (l1_pre_topc(C) & -v3_struct_0(C) -> (all D (m2_relset_1(D,u1_struct_0(A),u1_struct_0(C)) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(C)) & v1_funct_1(D) -> (v6_compts_1(B,A) & k2_relat_1(D) = k2_pre_topc(C) & v5_pre_topc(D,A,C) -> v6_compts_1(k4_pre_topc(A,C,D,B),C)))))))))) # label(t24_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7448 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v6_compts_1(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(r1_compts_1(A,C,B) & (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(v1_finset_1(D) & r1_compts_1(A,D,B) & r1_tarski(D,C)))) & v1_tops_2(C,A))))))))) # label(d7_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7449 (all A (l1_pre_topc(A) -> (v6_compts_1(k2_pre_topc(A),A) <-> v2_compts_1(A)))) # label(t10_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7450 (all A (l1_pre_topc(A) -> (v4_compts_1(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(k1_xboole_0 != C & v4_pre_topc(C,A) & r2_hidden(B,k3_subset_1(u1_struct_0(A),C)) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(E,A) & r2_hidden(B,D) & r1_tarski(C,E) & r1_xboole_0(D,E) & v3_pre_topc(D,A)))))))))))))) # label(d5_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7451 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> ((all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(B != k1_xboole_0 & v2_tops_2(B,A) & k6_setfam_1(u1_struct_0(A),B) = k1_xboole_0 & (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(r1_tarski(C,B) & v1_finset_1(C) & k6_setfam_1(u1_struct_0(A),C) = k1_xboole_0 & k1_xboole_0 != C)))))) <-> v2_compts_1(A)))) # label(t14_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7452 $T # label(t150_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7453 (all A all B (-v3_struct_0(A) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & m1_orders_1(B,k1_orders_1(u1_struct_0(A))) & l1_orders_2(A) -> (all C (m2_orders_2(C,A,B) -> m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v5_orders_2(C,A))))) # label(dt_m2_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7454 (all A (v2_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & v3_orders_2(A) & -v3_struct_0(A) -> (all 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))) -> -(r2_wellord1(u1_orders_2(A),C) & (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (r2_orders_2(A,D,E) & r2_hidden(E,B) -> r2_hidden(D,B)))))) & -m1_orders_2(B,A,C) & C != B & r1_tarski(B,C)))))))) # label(t72_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7455 (all A (-v3_struct_0(A) & v4_orders_2(A) & l1_orders_2(A) & v3_orders_2(A) & v2_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (r8_orders_1(u1_orders_2(A),B) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (C != B -> r2_orders_2(A,C,B))))))))) # label(t160_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7456 $T # label(t22_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7457 (all A (-v3_struct_0(A) & v2_orders_2(A) & v3_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (r6_orders_1(u1_orders_2(A),B) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> -r2_orders_2(A,B,C)))))))) # label(t159_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7458 (all A (l1_orders_2(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v5_orders_2(B,A))))) # label(rc3_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7459 $T # label(t13_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7460 $T # label(t33_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7461 $T # label(t156_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7462 $T # label(t58_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7463 (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_orders_2(A) & v2_orders_2(A) -> (r3_orders_2(A,B,C) <-> r1_orders_2(A,B,C)))) # label(redefinition_r3_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7464 (all A all B all C (-v3_struct_0(A) & v2_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & l1_orders_2(A) -> r3_orders_2(A,B,B))) # label(reflexivity_r3_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7465 $T # label(t17_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7466 (all A (v4_orders_2(A) & l1_orders_2(A) & v2_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> ((exists D (v5_orders_2(D,A) & r2_hidden(B,D) & r2_hidden(C,D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))))) <-> (r2_orders_2(A,B,C) <-> -r1_orders_2(A,C,B))))))))) # label(t39_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7467 $T # label(t92_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7468 $T # label(t145_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7469 (all A (-v3_struct_0(A) & v2_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & v3_orders_2(A) -> (all 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))) -> -(r1_tarski(B,C) & r2_wellord1(u1_orders_2(A),C) & -m1_orders_2(B,A,C) & C != B & (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (r2_hidden(E,B) & r2_orders_2(A,D,E) & r2_hidden(D,C) -> r2_hidden(D,B))))))))))))) # label(t73_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7470 (all A (-v3_struct_0(A) & v2_orders_2(A) & v3_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(m1_orders_2(B,A,B) & B != k1_xboole_0) & -(k1_xboole_0 = B & -m1_orders_2(B,A,B)))))) # label(t68_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7471 (all A (v3_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & v2_orders_2(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_orders_2(A,C,B))) <-> r7_orders_1(u1_orders_2(A),B)))))) # label(t158_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7472 $T # label(t94_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7473 (all A (-v3_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & v2_orders_2(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (r3_orders_1(u1_orders_2(A),B) -> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v5_orders_2(B,A)))))) # label(t135_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7474 $T # label(t19_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7475 (exists A (v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_orders_2(A) & -v3_struct_0(A) & l1_orders_2(A))) # label(rc2_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7476 $T # label(t124_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7477 (all A (-v3_struct_0(A) & v4_orders_2(A) & l1_orders_2(A) & v3_orders_2(A) & v2_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(C,k1_orders_2(A,k1_struct_0(A,B))) <-> r2_orders_2(A,B,C)))))))) # label(t51_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7478 $T # label(t129_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7479 $T # label(t102_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7480 (all A (-v3_struct_0(A) & v2_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & v3_orders_2(A) -> (all B (m1_orders_1(B,k1_orders_1(u1_struct_0(A))) -> m2_orders_2(k3_tarski(k4_orders_2(A,B)),A,B))))) # label(t89_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7481 (all A (l1_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_orders_2(A,B,C) <-> C != B & r1_orders_2(A,B,C)))))))) # label(d10_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7482 $T # label(t137_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7483 $T # label(t155_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7484 $T # label(t134_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7485 $T # label(t126_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7486 $T # label(dt_k4_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7487 (all A (v4_orders_2(A) & l1_orders_2(A) & v3_orders_2(A) & v2_orders_2(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,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(C,E) & m1_orders_2(E,A,D) & r2_hidden(B,D) & r2_orders_2(A,B,C) -> r2_hidden(B,E)))))))))))) # label(t70_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7488 $T # label(t93_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7489 (all A (v2_orders_2(A) & l1_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> -((r1_orders_2(A,C,B) | r1_orders_2(A,B,C)) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & v5_orders_2(D,A) -> -(r2_hidden(B,D) & r2_hidden(C,D))))) & -((exists D (r2_hidden(B,D) & r2_hidden(C,D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & v5_orders_2(D,A))) & -r1_orders_2(A,B,C) & -r1_orders_2(A,C,B)))))))) # label(t38_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7490 (all A all B (m1_relset_1(B,A,A) -> l1_orders_2(g1_orders_2(A,B)) & v1_orders_2(g1_orders_2(A,B)))) # label(dt_g1_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7491 (all A (-v3_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & v2_orders_2(A) -> -((all B (m1_subset_1(B,u1_struct_0(A)) -> (exists C (r2_orders_2(A,C,B) & m1_subset_1(C,u1_struct_0(A)))))) & (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v5_orders_2(B,A) -> (exists C (m1_subset_1(C,u1_struct_0(A)) & (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,B) -> r3_orders_2(A,C,D))))))))))) # label(t163_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7492 $T # label(t42_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7493 $T # label(t76_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7494 (all A (l1_orders_2(A) -> (r1_relat_2(u1_orders_2(A),u1_struct_0(A)) <-> v2_orders_2(A)))) # label(d4_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7495 $T # label(t31_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7496 $T # label(t53_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7497 $T # label(d7_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7498 (all A all B (v4_relat_2(B) & v8_relat_2(B) & m1_relset_1(B,A,A) & v1_partfun1(B,A,A) & v1_relat_2(B) -> v1_orders_2(g1_orders_2(A,B)) & v3_orders_2(g1_orders_2(A,B)) & v4_orders_2(g1_orders_2(A,B)) & v2_orders_2(g1_orders_2(A,B)))) # label(fc3_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7499 (all A (-v3_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & v2_orders_2(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_orders_2(C,A,B) -> r1_tarski(C,B))))))) # label(t67_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7500 (exists A l1_orders_2(A)) # label(existence_l1_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7501 $T # label(t97_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7502 $T # label(t54_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7503 (all A (v4_orders_2(A) & l1_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> -(r2_orders_2(A,C,B) & r2_orders_2(A,B,C)))))))) # label(t28_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7504 $T # label(t105_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7505 $T # label(t117_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7506 (all A (v3_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & v2_orders_2(A) & -v3_struct_0(A) -> k2_orders_2(A,k2_pre_topc(A)) = k1_xboole_0)) # label(t46_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7507 $T # label(t101_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7508 (all A (v2_orders_2(A) & l1_orders_2(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)) -> (v5_orders_2(k2_struct_0(A,B,C),A) & m1_subset_1(k2_struct_0(A,B,C),k1_zfmisc_1(u1_struct_0(A))) <-> r3_orders_2(A,C,B) | r3_orders_2(A,B,C)))))))) # label(t36_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7509 (all A (-v3_struct_0(A) & v2_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & v3_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(r2_hidden(B,k1_orders_2(A,C)) & r2_hidden(B,C)))))))) # label(t47_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7510 $T # label(t14_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7511 $T # label(t12_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7512 $T # label(t114_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7513 $T # label(t113_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7514 (all A (v2_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & v3_orders_2(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,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(B,D) & r2_orders_2(A,B,C) <-> r2_hidden(B,k3_orders_2(A,D,C))))))))))) # label(t57_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7515 $T # label(t120_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7516 (all A (v2_orders_2(A) & v3_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v5_orders_2(B,A) -> v3_orders_1(k2_wellord1(u1_orders_2(A),B)))))) # label(t109_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7517 (all A (-v3_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & v2_orders_2(A) -> (all B (m1_orders_1(B,k1_orders_1(u1_struct_0(A))) -> (all C (m2_orders_2(C,A,B) -> r2_hidden(k1_funct_1(B,u1_struct_0(A)),C))))))) # label(t79_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7518 (all A (-v3_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & v2_orders_2(A) -> (all 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))) -> -(m1_orders_2(C,A,B) & m1_orders_2(B,A,C) & -(C = k1_xboole_0 & k1_xboole_0 = B)))))))) # label(t69_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7519 (all A (-v3_struct_0(A) & v2_orders_2(A) & v3_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) -> k2_orders_2(A,k1_pre_topc(A)) = u1_struct_0(A))) # label(t45_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7520 $T # label(t100_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7521 $T # label(t153_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7522 (all A (-v3_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & v2_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_orders_1(C,k1_orders_1(u1_struct_0(A))) -> (all D (m2_orders_2(D,A,C) -> (k1_funct_1(C,u1_struct_0(A)) = B -> k1_xboole_0 = k3_orders_2(A,D,B)))))))))) # label(t81_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7523 (all A (v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & v2_orders_2(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v5_orders_2(B,A) -> r3_orders_1(u1_orders_2(A),B))))) # label(t136_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7524 $T # label(t98_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7525 (all A (-v3_struct_0(A) & l1_orders_2(A) & v4_orders_2(A) & v3_orders_2(A) & v2_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(k3_orders_2(A,C,B),C))))))) # label(t61_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7526 (all A (v3_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & v2_orders_2(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_orders_1(C,k1_orders_1(u1_struct_0(A))) -> (all D (m2_orders_2(D,A,C) -> (B = k3_tarski(k4_orders_2(A,C)) -> D = k3_tarski(k4_orders_2(A,C)) | m1_orders_2(D,A,B)))))))))) # label(t88_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7527 $T # label(t112_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7528 $T # label(t9_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7529 $T # label(t6_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7530 (all A (l1_orders_2(A) & v4_orders_2(A) & v3_orders_2(A) & v2_orders_2(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_orders_2(A,k1_struct_0(A,C))) <-> r2_orders_2(A,B,C)))))))) # label(t52_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7531 (all A (l1_orders_2(A) & v4_orders_2(A) & v3_orders_2(A) & v2_orders_2(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> a_2_1_orders_2(A,B) = k2_orders_2(A,B))))) # label(d13_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7532 (all A (v3_orders_2(A) & l1_orders_2(A) & v4_orders_2(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)) -> (r2_orders_2(A,C,D) & r2_orders_2(A,B,C) -> r2_orders_2(A,B,D)))))))))) # label(t29_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7533 $T # label(t128_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7534 (all A (-v3_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & v2_orders_2(A) -> -((all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v5_orders_2(B,A) -> (exists C (m1_subset_1(C,u1_struct_0(A)) & (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,B) -> r3_orders_2(A,D,C)))))))) & (all B (m1_subset_1(B,u1_struct_0(A)) -> (exists C (r2_orders_2(A,B,C) & m1_subset_1(C,u1_struct_0(A))))))))) # label(t162_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7535 (all A all B (-v3_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v2_orders_2(A) -> (all C (m1_orders_2(C,A,B) -> m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))))))) # label(dt_m1_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7536 $T # label(t18_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7537 $T # label(t21_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7538 $T # label(t20_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7539 $T # label(t118_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7540 (all A all B (m1_relset_1(B,A,A) -> (all C all D (g1_orders_2(C,D) = g1_orders_2(A,B) -> C = A & D = B)))) # label(free_g1_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7541 (all A (-v3_struct_0(A) & l1_orders_2(A) & v4_orders_2(A) & v3_orders_2(A) & v2_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k1_xboole_0 = k3_orders_2(A,k1_pre_topc(A),B))))) # label(t60_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7542 (all A (-v3_struct_0(A) & v2_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & v3_orders_2(A) -> (all B (m1_orders_1(B,k1_orders_1(u1_struct_0(A))) -> (all C (v5_orders_2(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (m2_orders_2(C,A,B) <-> C != k1_xboole_0 & (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,C) -> D = k1_funct_1(B,k1_orders_2(A,k3_orders_2(A,C,D)))))) & r2_wellord1(u1_orders_2(A),C)))))))) # label(d16_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7543 (all A (v2_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & v3_orders_2(A) & -v3_struct_0(A) -> (all B (m1_orders_1(B,k1_orders_1(u1_struct_0(A))) -> (all C (m2_orders_2(C,A,B) -> (all D (m2_orders_2(D,A,B) -> (r2_xboole_0(C,D) <-> m1_orders_2(C,A,D)))))))))) # label(t84_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7544 $T # label(t104_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7545 (all A (v4_orders_2(A) & l1_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> -(r2_orders_2(A,C,B) & r1_orders_2(A,B,C)))))))) # label(t30_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7546 (all A (-v3_struct_0(A) & v4_orders_2(A) & l1_orders_2(A) & v3_orders_2(A) & v2_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(C,D) -> r1_tarski(k3_orders_2(A,C,B),k3_orders_2(A,D,B))))))))))) # label(t65_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7547 $T # label(t7_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7548 (all A (l1_orders_2(A) -> m2_relset_1(u1_orders_2(A),u1_struct_0(A),u1_struct_0(A)))) # label(dt_u1_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7549 (all A all B all C (v3_orders_2(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v4_orders_2(B) & v2_orders_2(B) & -v3_struct_0(B) -> (r2_hidden(A,a_2_0_orders_2(B,C)) <-> (exists D (m1_subset_1(D,u1_struct_0(B)) & A = D & (all E (m1_subset_1(E,u1_struct_0(B)) -> (r2_hidden(E,C) -> r2_orders_2(B,E,D))))))))) # label(fraenkel_a_2_0_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7550 (all A (-v3_struct_0(A) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) -> k1_orders_2(A,k2_pre_topc(A)) = k1_xboole_0)) # label(t44_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7551 (all A (-v3_struct_0(A) & v2_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & v3_orders_2(A) -> (all B (m1_orders_1(B,k1_orders_1(u1_struct_0(A))) -> (all C (m2_orders_2(C,A,B) -> (all D (m2_orders_2(D,A,B) -> (D != C -> (-m1_orders_2(D,A,C) <-> m1_orders_2(C,A,D))))))))))) # label(t83_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7552 (all A all B (-v3_struct_0(B) & v4_orders_2(B) & l1_orders_2(B) & v3_orders_2(B) & v2_orders_2(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (r2_hidden(A,k3_orders_2(B,D,C)) <-> r2_hidden(A,D) & r2_hidden(A,k2_orders_2(B,k1_struct_0(B,C)))))))))) # label(t56_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7553 $T # label(t11_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7554 (all A (v3_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & v2_orders_2(A) & -v3_struct_0(A) -> (all 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))) -> (B != k1_xboole_0 -> ((exists D (k3_orders_2(A,B,D) = C & r2_hidden(D,B) & m1_subset_1(D,u1_struct_0(A)))) <-> m1_orders_2(C,A,B))) & (k1_xboole_0 = B -> (C = k1_xboole_0 <-> m1_orders_2(C,A,B))))))))) # label(d15_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7555 $T # label(t139_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7556 (all A (v2_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & v3_orders_2(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (r9_orders_1(u1_orders_2(A),B) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (B != C -> r2_orders_2(A,B,C))))))))) # label(t161_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7557 $T # label(t133_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7558 $T # label(t15_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7559 $T # label(t125_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7560 (all A (l1_orders_2(A) -> v1_xboole_0(k1_pre_topc(A)) & v2_membered(k1_pre_topc(A)) & v5_orders_2(k1_pre_topc(A),A) & v5_membered(k1_pre_topc(A)) & v4_membered(k1_pre_topc(A)) & v3_membered(k1_pre_topc(A)) & v1_membered(k1_pre_topc(A)))) # label(fc4_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7561 $T # label(t141_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7562 $T # label(t16_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7563 (all A (l1_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r1_orders_2(A,B,C) <-> r2_hidden(k4_tarski(B,C),u1_orders_2(A))))))))) # label(d9_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7564 $T # label(t2_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7565 $T # label(t123_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7566 (all A all B all C (m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & l1_orders_2(A) -> -r2_orders_2(A,B,B))) # label(irreflexivity_r2_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7567 (exists A (l1_orders_2(A) & v1_orders_2(A))) # label(rc1_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7568 (all A (l1_orders_2(A) & v4_orders_2(A) & v3_orders_2(A) & v2_orders_2(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))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(B,C) & m1_orders_2(C,A,D) -> k3_orders_2(A,D,B) = k3_orders_2(A,C,B)))))))))) # label(t71_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7569 $T # label(t90_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7570 (all A (v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(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)) -> (r2_orders_2(A,C,D) & r1_orders_2(A,B,C) | r2_orders_2(A,B,C) & r1_orders_2(A,C,D) -> r2_orders_2(A,B,D)))))))))) # label(t32_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7571 $T # label(t34_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7572 (all A (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(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)) -> k5_subset_1(u1_struct_0(A),k2_orders_2(A,k1_struct_0(A,C)),B) = k3_orders_2(A,B,C))))))) # label(d14_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7573 (all A (v2_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & v3_orders_2(A) & -v3_struct_0(A) -> (all B (m1_orders_1(B,k1_orders_1(u1_struct_0(A))) -> (all C (m2_orders_2(C,A,B) -> (all D (m2_orders_2(D,A,B) -> -r1_xboole_0(C,D))))))))) # label(t82_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7574 (all A (-v3_struct_0(A) & v2_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & v3_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> -r2_hidden(B,k2_orders_2(A,k1_struct_0(A,B))))))) # label(t50_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7575 $T # label(t111_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7576 $T # label(t143_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7577 (all A (v4_orders_2(A) & l1_orders_2(A) & v3_orders_2(A) & v2_orders_2(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,k1_zfmisc_1(u1_struct_0(A))) -> (r2_orders_2(A,B,C) -> r1_tarski(k3_orders_2(A,D,B),k3_orders_2(A,D,C))))))))))) # label(t64_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7578 (all A (l1_orders_2(A) & v4_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r1_orders_2(A,C,B) & r1_orders_2(A,B,C) -> C = B))))))) # label(t25_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7579 $T # label(d8_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7580 (all A (-v3_struct_0(A) & l1_orders_2(A) & v2_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r1_orders_2(A,B,B))))) # label(t24_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7581 (all A (l1_orders_2(A) & v2_orders_2(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> m1_subset_1(k1_struct_0(A,B),k1_zfmisc_1(u1_struct_0(A))) & v5_orders_2(k1_struct_0(A,B),A))))) # label(t35_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7582 (all A (v3_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & v2_orders_2(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> -r2_hidden(B,k1_orders_2(A,k1_struct_0(A,B))))))) # label(t48_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7583 (all A (l1_orders_2(A) & v4_orders_2(A) & v3_orders_2(A) & v2_orders_2(A) -> v1_relat_1(u1_orders_2(A)) & v4_relat_2(u1_orders_2(A)) & v1_partfun1(u1_orders_2(A),u1_struct_0(A),u1_struct_0(A)) & v8_relat_2(u1_orders_2(A)) & v1_relat_2(u1_orders_2(A)))) # label(fc2_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7584 $T # label(t142_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7585 $T # label(t121_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7586 $T # label(t1_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7587 (all A (l1_orders_2(A) -> l1_struct_0(A))) # label(dt_l1_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7588 $T # label(t116_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7589 $T # label(t130_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7590 $T # label(t152_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7591 (all A all B (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v3_struct_0(A) -> m1_subset_1(k1_orders_2(A,B),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k1_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7592 $T # label(t5_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7593 $T # label(t86_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7594 $T # label(t151_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7595 (all A (l1_orders_2(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (r2_wellord1(u1_orders_2(A),B) -> v5_orders_2(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))))))) # label(t40_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7596 (all A (v3_orders_2(A) & l1_orders_2(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_orders_2(A,C,D) & r1_orders_2(A,B,C) -> r1_orders_2(A,B,D)))))))))) # label(t26_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7597 $T # label(t95_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7598 $T # label(t66_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7599 (all A (-v3_struct_0(A) & v4_orders_2(A) & l1_orders_2(A) & v3_orders_2(A) & v2_orders_2(A) -> (all B (m1_orders_1(B,k1_orders_1(u1_struct_0(A))) -> (all C (k4_orders_2(A,B) = C <-> (all D (r2_hidden(D,C) <-> m2_orders_2(D,A,B))))))))) # label(d17_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7600 $T # label(t77_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7601 $T # label(t122_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7602 (all A (-v3_struct_0(A) & v2_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & v3_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_orders_1(D,k1_orders_1(u1_struct_0(A))) -> (all E (m2_orders_2(E,A,D) -> (r2_hidden(B,E) & C = k1_funct_1(D,u1_struct_0(A)) -> r3_orders_2(A,C,B)))))))))))) # label(t80_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7603 (all A all B (v2_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & m1_orders_1(B,k1_orders_1(u1_struct_0(A))) & v3_orders_2(A) & -v3_struct_0(A) -> (exists C m2_orders_2(C,A,B)))) # label(existence_m2_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7604 $T # label(t96_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7605 (all A all B (-v3_struct_0(A) & v3_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_orders_2(A) & v4_orders_2(A) & v2_orders_2(A) -> (exists C m1_orders_2(C,A,B)))) # label(existence_m1_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7606 $T # label(t99_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7607 (all A (-v3_struct_0(A) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k1_orders_2(A,B) = a_2_0_orders_2(A,B))))) # label(d12_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7608 $T # label(t41_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7609 $T # label(t131_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7610 $T # label(t106_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7611 (all A (v2_orders_2(A) & v3_orders_2(A) & l1_orders_2(A) & v4_orders_2(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))) -> -r2_hidden(B,k3_orders_2(A,C,B)))))))) # label(t62_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7612 (all A (l1_orders_2(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v5_orders_2(B,A) <-> r7_relat_2(u1_orders_2(A),B)))))) # label(d11_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7613 (all A (l1_orders_2(A) & v4_orders_2(A) & v3_orders_2(A) & v2_orders_2(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_orders_1(k2_wellord1(u1_orders_2(A),B)) -> v5_orders_2(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))))))) # label(t108_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7614 $T # label(t115_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7615 (all A all B (-v3_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v2_orders_2(A) -> m1_subset_1(k2_orders_2(A,B),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k2_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7616 $T # label(t55_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7617 $T # label(t127_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7618 $T # label(t146_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7619 $T # label(t103_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7620 (all A (v2_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & v3_orders_2(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))) -> -(r2_hidden(B,k2_orders_2(A,C)) & r2_hidden(B,C)))))))) # label(t49_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7621 $T # label(t74_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7622 (all A (l1_orders_2(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v5_orders_2(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(C,B) -> m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v5_orders_2(C,A)))))))) # label(t37_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7623 $T # label(t23_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7624 (all A (-v3_struct_0(A) & v2_orders_2(A) & v3_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) -> u1_struct_0(A) = k1_orders_2(A,k1_pre_topc(A)))) # label(t43_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7625 $T # label(t10_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7626 $T # label(t132_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7627 $T # label(t8_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7628 (all A all B all C (-v3_struct_0(B) & v2_orders_2(B) & v3_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & l1_orders_2(B) & v4_orders_2(B) -> (r2_hidden(A,a_2_1_orders_2(B,C)) <-> (exists D ((all E (m1_subset_1(E,u1_struct_0(B)) -> (r2_hidden(E,C) -> r2_orders_2(B,D,E)))) & A = D & m1_subset_1(D,u1_struct_0(B))))))) # label(fraenkel_a_2_1_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7629 $T # label(t119_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.61	7630 $T # label(t59_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7631 (all A (l1_orders_2(A) -> (v1_orders_2(A) -> A = g1_orders_2(u1_struct_0(A),u1_orders_2(A))))) # label(abstractness_v1_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7632 (all A all B (-v1_xboole_0(A) & m1_relset_1(B,A,A) -> -v3_struct_0(g1_orders_2(A,B)) & v1_orders_2(g1_orders_2(A,B)))) # label(fc1_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7633 $T # label(t75_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7634 $T # label(t140_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7635 (all A (l1_orders_2(A) -> (v3_orders_2(A) <-> r8_relat_2(u1_orders_2(A),u1_struct_0(A))))) # label(d5_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7636 $T # label(t85_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7637 $T # label(t138_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7638 $T # label(t91_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7639 $T # label(t154_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7640 $T # label(t144_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7641 $T # label(d1_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7642 (all A all B (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & m1_orders_1(B,k1_orders_1(u1_struct_0(A))) & -v3_struct_0(A) -> -v1_xboole_0(k4_orders_2(A,B)))) # label(fc5_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7643 $T # label(t149_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7644 (all A (v4_orders_2(A) & l1_orders_2(A) & v3_orders_2(A) & v2_orders_2(A) & -v3_struct_0(A) -> (all B (m1_orders_1(B,k1_orders_1(u1_struct_0(A))) -> k3_tarski(k4_orders_2(A,B)) != k1_xboole_0)))) # label(t87_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7645 $T # label(t63_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7646 $T # label(t157_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7647 $T # label(t3_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7648 $T # label(t4_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7649 (all A all B all C (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) & l1_orders_2(A) & -v3_struct_0(A) -> m1_subset_1(k3_orders_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k3_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7650 $T # label(d2_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7651 $T # label(t27_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7652 (all A (-v3_struct_0(A) & l1_orders_2(A) & v4_orders_2(A) & v3_orders_2(A) & v2_orders_2(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k3_relat_1(k2_wellord1(u1_orders_2(A),B)) = B)))) # label(t107_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7653 (all A (v2_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & v3_orders_2(A) & -v3_struct_0(A) -> (all B (m1_orders_1(B,k1_orders_1(u1_struct_0(A))) -> m2_orders_2(k1_tarski(k1_funct_1(B,u1_struct_0(A))),A,B))))) # label(t78_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7654 $T # label(d3_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7655 (all A (l1_orders_2(A) -> (r4_relat_2(u1_orders_2(A),u1_struct_0(A)) <-> v4_orders_2(A)))) # label(d6_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7656 $T # label(t148_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7657 $T # label(t147_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7658 $T # label(t110_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7659 (all A all B all C (m1_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) & -v1_xboole_0(B) & -v1_xboole_0(A) -> m2_fraenkel(k3_funcsdom(A,B,C),A,B,k1_fraenkel(A,B)))) # label(dt_k3_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7660 (all A (-v1_xboole_0(A) -> m2_relset_1(k6_funcsdom(A),k2_zfmisc_1(k1_fraenkel(A,k1_numbers),k1_fraenkel(A,k1_numbers)),k1_fraenkel(A,k1_numbers)) & v1_funct_2(k6_funcsdom(A),k2_zfmisc_1(k1_fraenkel(A,k1_numbers),k1_fraenkel(A,k1_numbers)),k1_fraenkel(A,k1_numbers)) & v1_funct_1(k6_funcsdom(A)))) # label(dt_k6_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7661 $T # label(d13_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7662 $T # label(d11_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7663 (all A (-v1_xboole_0(A) -> (all B (m2_fraenkel(B,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> k1_funcsdom(A,k1_numbers,k6_funcsdom(A),k9_funcsdom(A),B) = B)))) # label(t21_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7664 $T # label(t3_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7665 (all A (-v1_xboole_0(A) -> (all B (m2_relset_1(B,k2_zfmisc_1(k1_fraenkel(A,k1_numbers),k1_fraenkel(A,k1_numbers)),k1_fraenkel(A,k1_numbers)) & v1_funct_2(B,k2_zfmisc_1(k1_fraenkel(A,k1_numbers),k1_fraenkel(A,k1_numbers)),k1_fraenkel(A,k1_numbers)) & v1_funct_1(B) -> ((all C (m2_fraenkel(C,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all D (m2_fraenkel(D,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> k1_funcsdom(A,k1_numbers,B,C,D) = k4_funcsdom(k1_numbers,A,k33_binop_2,C,D))))) <-> k6_funcsdom(A) = B))))) # label(d2_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7666 $T # label(t8_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7667 (all A (-v1_xboole_0(A) -> v2_group_1(k12_funcsdom(A)) & v3_vectsp_1(k12_funcsdom(A)) & v6_vectsp_1(k12_funcsdom(A)) & v8_vectsp_1(k12_funcsdom(A)) & -v3_struct_0(k12_funcsdom(A)))) # label(fc2_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7668 (all A (-v1_xboole_0(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) -> k3_funcsdom(A,B,C) = C)))))) # label(d1_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7669 $T # label(t47_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7670 $T # label(d18_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7671 $T # label(t36_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7672 (all A (-v1_xboole_0(A) -> v1_funct_1(k8_funcsdom(A)) & m2_relset_1(k8_funcsdom(A),k2_zfmisc_1(k1_numbers,k1_fraenkel(A,k1_numbers)),k1_fraenkel(A,k1_numbers)) & v1_funct_2(k8_funcsdom(A),k2_zfmisc_1(k1_numbers,k1_fraenkel(A,k1_numbers)),k1_fraenkel(A,k1_numbers)))) # label(dt_k8_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7673 $T # label(t7_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7674 (all A (-v1_xboole_0(A) -> v5_rlvect_1(k12_funcsdom(A)) & v6_rlvect_1(k12_funcsdom(A)) & v7_group_1(k12_funcsdom(A)) & v7_vectsp_1(k12_funcsdom(A)) & l3_vectsp_1(k12_funcsdom(A)) & v8_vectsp_1(k12_funcsdom(A)) & v6_vectsp_1(k12_funcsdom(A)) & v4_group_1(k12_funcsdom(A)) & v4_rlvect_1(k12_funcsdom(A)) & v3_rlvect_1(k12_funcsdom(A)) & -v3_struct_0(k12_funcsdom(A)))) # label(t43_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7675 $T # label(d9_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7676 (all A all B all C all D all E all F (-v1_xboole_0(C) & -v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(C,D),k1_fraenkel(A,B)) & m1_subset_1(F,k2_zfmisc_1(C,D)) & m1_relset_1(E,k2_zfmisc_1(C,D),k1_fraenkel(A,B)) & -v1_xboole_0(B) & -v1_xboole_0(A) -> k2_funcsdom(A,B,C,D,E,F) = k1_funct_1(E,F))) # label(redefinition_k2_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7677 $T # label(t40_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7678 $T # label(t6_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7679 (all A (-v1_xboole_0(A) -> (all B (m2_fraenkel(B,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all C (m2_fraenkel(C,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all D (m2_fraenkel(D,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> k1_funcsdom(A,k1_numbers,k6_funcsdom(A),B,k1_funcsdom(A,k1_numbers,k6_funcsdom(A),C,D)) = k1_funcsdom(A,k1_numbers,k6_funcsdom(A),k1_funcsdom(A,k1_numbers,k6_funcsdom(A),B,C),D))))))))) # label(t17_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7680 (all A (l1_funcsdom(A) -> (v1_funcsdom(A) -> g1_funcsdom(u1_struct_0(A),u1_group_1(A),u1_rlvect_1(A),u2_rlvect_1(A),u1_vectsp_1(A),u2_struct_0(A)) = A))) # label(abstractness_v1_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7681 (all A (-v1_xboole_0(A) -> m2_fraenkel(k9_funcsdom(A),A,k1_numbers,k1_fraenkel(A,k1_numbers)))) # label(dt_k9_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7682 (all A (-v1_xboole_0(A) -> v3_vectsp_1(k12_funcsdom(A)) & -v3_struct_0(k12_funcsdom(A)))) # label(fc1_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7683 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> k8_funct_2(A,k1_numbers,k10_funcsdom(A),B) = np__1)))) # label(t12_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7684 (all A (-v1_xboole_0(A) -> v3_vectsp_1(k12_funcsdom(A)) & l3_vectsp_1(k12_funcsdom(A)))) # label(dt_k12_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7685 $T # label(t35_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7686 (all A (-v1_xboole_0(A) -> (all B (m2_fraenkel(B,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all C (m1_subset_1(C,k1_numbers) -> (all D (m1_subset_1(D,k1_numbers) -> k2_funcsdom(A,k1_numbers,k1_numbers,k1_fraenkel(A,k1_numbers),k8_funcsdom(A),k1_domain_1(k1_numbers,k1_fraenkel(A,k1_numbers),k3_real_1(C,D),B)) = k1_funcsdom(A,k1_numbers,k6_funcsdom(A),k2_funcsdom(A,k1_numbers,k1_numbers,k1_fraenkel(A,k1_numbers),k8_funcsdom(A),k1_domain_1(k1_numbers,k1_fraenkel(A,k1_numbers),C,B)),k2_funcsdom(A,k1_numbers,k1_numbers,k1_fraenkel(A,k1_numbers),k8_funcsdom(A),k1_domain_1(k1_numbers,k1_fraenkel(A,k1_numbers),D,B))))))))))) # label(t25_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7687 (all A (-v1_xboole_0(A) -> k10_funcsdom(A) != k9_funcsdom(A))) # label(t14_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7688 $T # label(t45_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7689 (all A (-v1_xboole_0(A) -> v1_funcsdom(k13_funcsdom(A)) & l1_funcsdom(k13_funcsdom(A)))) # label(dt_k13_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7690 (all A all B all C all D all E (v1_funct_1(C) & m1_relset_1(D,B,A) & v1_funct_2(E,B,A) & m1_relset_1(E,B,A) & v1_funct_1(E) & v1_funct_2(D,B,A) & v1_funct_1(D) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & -v1_xboole_0(B) & -v1_xboole_0(A) -> m2_fraenkel(k4_funcsdom(A,B,C,D,E),B,A,k1_fraenkel(B,A)))) # label(dt_k4_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7691 (all A all B all C (-v1_xboole_0(C) -> -(C = k2_tarski(A,B) & A != B & (all D (m2_fraenkel(D,C,k1_numbers,k1_fraenkel(C,k1_numbers)) -> (all E (m2_fraenkel(E,C,k1_numbers,k1_fraenkel(C,k1_numbers)) -> -((all F (m2_fraenkel(F,C,k1_numbers,k1_fraenkel(C,k1_numbers)) -> (exists G ((exists H (F = k1_funcsdom(C,k1_numbers,k6_funcsdom(C),k2_funcsdom(C,k1_numbers,k1_numbers,k1_fraenkel(C,k1_numbers),k8_funcsdom(C),k1_domain_1(k1_numbers,k1_fraenkel(C,k1_numbers),G,D)),k2_funcsdom(C,k1_numbers,k1_numbers,k1_fraenkel(C,k1_numbers),k8_funcsdom(C),k1_domain_1(k1_numbers,k1_fraenkel(C,k1_numbers),H,E))) & m1_subset_1(H,k1_numbers))) & m1_subset_1(G,k1_numbers))))) & (all F (m1_subset_1(F,k1_numbers) -> (all G (m1_subset_1(G,k1_numbers) -> (k1_funcsdom(C,k1_numbers,k6_funcsdom(C),k2_funcsdom(C,k1_numbers,k1_numbers,k1_fraenkel(C,k1_numbers),k8_funcsdom(C),k1_domain_1(k1_numbers,k1_fraenkel(C,k1_numbers),F,D)),k2_funcsdom(C,k1_numbers,k1_numbers,k1_fraenkel(C,k1_numbers),k8_funcsdom(C),k1_domain_1(k1_numbers,k1_fraenkel(C,k1_numbers),G,E))) = k9_funcsdom(C) -> np__0 = G & np__0 = F))))))))))))) # label(t33_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7692 (all A all B all C (-v1_xboole_0(C) -> -((all D (m2_fraenkel(D,C,k1_numbers,k1_fraenkel(C,k1_numbers)) -> (all E (m2_fraenkel(E,C,k1_numbers,k1_fraenkel(C,k1_numbers)) -> (exists F ((exists G (m1_subset_1(G,k1_numbers) & k1_funcsdom(C,k1_numbers,k6_funcsdom(C),k2_funcsdom(C,k1_numbers,k1_numbers,k1_fraenkel(C,k1_numbers),k8_funcsdom(C),k1_domain_1(k1_numbers,k1_fraenkel(C,k1_numbers),F,D)),k2_funcsdom(C,k1_numbers,k1_numbers,k1_fraenkel(C,k1_numbers),k8_funcsdom(C),k1_domain_1(k1_numbers,k1_fraenkel(C,k1_numbers),G,E))) = k9_funcsdom(C) & -(np__0 = F & G = np__0))) & m1_subset_1(F,k1_numbers))))))) & A != B & r2_hidden(B,C) & r2_hidden(A,C)))) # label(t30_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7693 (all A (-v1_xboole_0(A) -> (all B (m2_fraenkel(B,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> k9_funcsdom(A) = k1_funcsdom(A,k1_numbers,k6_funcsdom(A),B,k2_funcsdom(A,k1_numbers,k1_numbers,k1_fraenkel(A,k1_numbers),k8_funcsdom(A),k1_domain_1(k1_numbers,k1_fraenkel(A,k1_numbers),k1_real_1(np__1),B))))))) # label(t22_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7694 (all A (-v1_xboole_0(A) -> (all B (m2_fraenkel(B,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all C (m1_subset_1(C,k1_numbers) -> (all D (m1_subset_1(D,k1_numbers) -> k2_funcsdom(A,k1_numbers,k1_numbers,k1_fraenkel(A,k1_numbers),k8_funcsdom(A),k1_domain_1(k1_numbers,k1_fraenkel(A,k1_numbers),C,k2_funcsdom(A,k1_numbers,k1_numbers,k1_fraenkel(A,k1_numbers),k8_funcsdom(A),k1_domain_1(k1_numbers,k1_fraenkel(A,k1_numbers),D,B)))) = k2_funcsdom(A,k1_numbers,k1_numbers,k1_fraenkel(A,k1_numbers),k8_funcsdom(A),k1_domain_1(k1_numbers,k1_fraenkel(A,k1_numbers),k4_real_1(C,D),B)))))))))) # label(t24_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7695 (all A all B all C all D all E (-v1_xboole_0(A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(E) & m1_relset_1(E,B,A) & v1_funct_2(E,B,A) & m1_subset_1(D,A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & -v1_xboole_0(B) -> m2_fraenkel(k5_funcsdom(A,B,C,D,E),B,A,k1_fraenkel(B,A)))) # label(dt_k5_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7696 (all A all B all C (-v1_xboole_0(C) -> (all D (m2_fraenkel(D,C,k1_numbers,k1_fraenkel(C,k1_numbers)) -> (all E (m2_fraenkel(E,C,k1_numbers,k1_fraenkel(C,k1_numbers)) -> (k2_tarski(A,B) = C & (all F (r2_hidden(F,C) -> (F != A -> np__1 = k1_funct_1(E,F)) & (A = F -> np__0 = k1_funct_1(E,F)))) & (all F (r2_hidden(F,C) -> (A = F -> k1_funct_1(D,F) = np__1) & (A != F -> k1_funct_1(D,F) = np__0))) -> A = B | (all F (m2_fraenkel(F,C,k1_numbers,k1_fraenkel(C,k1_numbers)) -> (exists G ((exists H (m1_subset_1(H,k1_numbers) & F = k1_funcsdom(C,k1_numbers,k6_funcsdom(C),k2_funcsdom(C,k1_numbers,k1_numbers,k1_fraenkel(C,k1_numbers),k8_funcsdom(C),k1_domain_1(k1_numbers,k1_fraenkel(C,k1_numbers),G,D)),k2_funcsdom(C,k1_numbers,k1_numbers,k1_fraenkel(C,k1_numbers),k8_funcsdom(C),k1_domain_1(k1_numbers,k1_fraenkel(C,k1_numbers),H,E))))) & m1_subset_1(G,k1_numbers)))))))))))) # label(t31_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7697 $T # label(d14_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7698 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> k8_funct_2(A,k1_numbers,k9_funcsdom(A),B) = np__0)))) # label(t13_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7699 $T # label(t9_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7700 (all A all B all C (-v1_xboole_0(C) -> -(k2_tarski(A,B) = C & A != B & (all D (m2_fraenkel(D,C,k1_numbers,k1_fraenkel(C,k1_numbers)) -> (all E (m2_fraenkel(E,C,k1_numbers,k1_fraenkel(C,k1_numbers)) -> (exists F ((all G (m1_subset_1(G,k1_numbers) -> (all H (m1_subset_1(H,k1_numbers) -> k1_funcsdom(C,k1_numbers,k6_funcsdom(C),k2_funcsdom(C,k1_numbers,k1_numbers,k1_fraenkel(C,k1_numbers),k8_funcsdom(C),k1_domain_1(k1_numbers,k1_fraenkel(C,k1_numbers),G,D)),k2_funcsdom(C,k1_numbers,k1_numbers,k1_fraenkel(C,k1_numbers),k8_funcsdom(C),k1_domain_1(k1_numbers,k1_fraenkel(C,k1_numbers),H,E))) != F)))) & m2_fraenkel(F,C,k1_numbers,k1_fraenkel(C,k1_numbers))))))))))) # label(t32_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7701 $T # label(t38_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7702 (exists A l1_funcsdom(A)) # label(existence_l1_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7703 $T # label(t48_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7704 $T # label(t39_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7705 (exists A (l1_funcsdom(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v2_funcsdom(A) & v1_funcsdom(A) & v7_group_1(A) & v5_rlvect_1(A) & -v3_struct_0(A))) # label(rc4_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7706 (exists A (-v3_struct_0(A) & l1_funcsdom(A))) # label(rc3_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7707 $T # label(d10_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7708 (all A (-v1_xboole_0(A) -> (all B (m2_fraenkel(B,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> k2_funcsdom(A,k1_numbers,k1_numbers,k1_fraenkel(A,k1_numbers),k8_funcsdom(A),k1_domain_1(k1_numbers,k1_fraenkel(A,k1_numbers),np__1,B)) = B)))) # label(t23_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7709 (all A (-v1_xboole_0(A) -> (all B (m2_fraenkel(B,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all C (m2_fraenkel(C,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all D (m1_subset_1(D,k1_numbers) -> k2_funcsdom(A,k1_numbers,k1_numbers,k1_fraenkel(A,k1_numbers),k8_funcsdom(A),k1_domain_1(k1_numbers,k1_fraenkel(A,k1_numbers),D,k1_funcsdom(A,k1_numbers,k7_funcsdom(A),B,C))) = k1_funcsdom(A,k1_numbers,k7_funcsdom(A),k2_funcsdom(A,k1_numbers,k1_numbers,k1_fraenkel(A,k1_numbers),k8_funcsdom(A),k1_domain_1(k1_numbers,k1_fraenkel(A,k1_numbers),D,B)),C))))))))) # label(t27_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7710 (exists A (l1_funcsdom(A) & v1_funcsdom(A))) # label(rc2_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7711 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u1_struct_0(k13_funcsdom(A))) -> (all C (m1_subset_1(C,u1_struct_0(k13_funcsdom(A))) -> (all D (m1_subset_1(D,u1_struct_0(k13_funcsdom(A))) -> (all E (m1_subset_1(E,k1_numbers) -> (all F (m1_subset_1(F,k1_numbers) -> k2_rlvect_1(k13_funcsdom(A),B,C) = k2_rlvect_1(k13_funcsdom(A),C,B) & k2_rlvect_1(k13_funcsdom(A),k2_rlvect_1(k13_funcsdom(A),B,C),D) = k2_rlvect_1(k13_funcsdom(A),B,k2_rlvect_1(k13_funcsdom(A),C,D)) & (exists G (m1_subset_1(G,u1_struct_0(k13_funcsdom(A))) & k2_rlvect_1(k13_funcsdom(A),B,G) = k1_rlvect_1(k13_funcsdom(A)))) & k1_group_1(k13_funcsdom(A),B,k1_group_1(k13_funcsdom(A),C,D)) = k1_group_1(k13_funcsdom(A),k1_group_1(k13_funcsdom(A),B,C),D) & k1_group_1(k13_funcsdom(A),B,k2_group_1(k13_funcsdom(A))) = B & k1_group_1(k13_funcsdom(A),B,k2_rlvect_1(k13_funcsdom(A),C,D)) = k2_rlvect_1(k13_funcsdom(A),k1_group_1(k13_funcsdom(A),B,C),k1_group_1(k13_funcsdom(A),B,D)) & k3_rlvect_1(k13_funcsdom(A),k2_rlvect_1(k13_funcsdom(A),B,C),E) = k2_rlvect_1(k13_funcsdom(A),k3_rlvect_1(k13_funcsdom(A),B,E),k3_rlvect_1(k13_funcsdom(A),C,E)) & k3_rlvect_1(k13_funcsdom(A),k3_rlvect_1(k13_funcsdom(A),B,F),E) = k3_rlvect_1(k13_funcsdom(A),B,k4_real_1(E,F)) & k2_rlvect_1(k13_funcsdom(A),k3_rlvect_1(k13_funcsdom(A),B,E),k3_rlvect_1(k13_funcsdom(A),B,F)) = k3_rlvect_1(k13_funcsdom(A),B,k3_real_1(E,F)) & k3_rlvect_1(k13_funcsdom(A),k1_group_1(k13_funcsdom(A),B,C),E) = k1_group_1(k13_funcsdom(A),k3_rlvect_1(k13_funcsdom(A),B,E),C) & k1_group_1(k13_funcsdom(A),B,C) = k1_group_1(k13_funcsdom(A),C,B) & k2_rlvect_1(k13_funcsdom(A),B,k1_rlvect_1(k13_funcsdom(A))) = B)))))))))))) # label(t49_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7712 (all A all B all C all D all E (-v1_xboole_0(A) & -v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_relset_1(D,B,A) & v1_funct_1(E) & v1_funct_2(E,B,A) & m1_relset_1(E,B,A) -> k4_funcsdom(A,B,C,D,E) = k3_funcop_1(C,D,E))) # label(redefinition_k4_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7713 (all A (-v1_xboole_0(A) -> k11_funcsdom(A) = g2_rlvect_1(k1_fraenkel(A,k1_numbers),k9_funcsdom(A),k6_funcsdom(A),k8_funcsdom(A)))) # label(d7_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7714 (all A all B all C all D all E (-v1_xboole_0(A) & -v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(D,A) & v1_funct_1(E) & v1_funct_2(E,B,A) & m1_relset_1(E,B,A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) -> k5_funcop_1(C,D,E) = k5_funcsdom(A,B,C,D,E))) # label(redefinition_k5_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7715 (all A (-v1_xboole_0(A) -> (all B (v1_funct_2(B,k2_zfmisc_1(k1_numbers,k1_fraenkel(A,k1_numbers)),k1_fraenkel(A,k1_numbers)) & m2_relset_1(B,k2_zfmisc_1(k1_numbers,k1_fraenkel(A,k1_numbers)),k1_fraenkel(A,k1_numbers)) & v1_funct_1(B) -> ((all C (m1_subset_1(C,k1_numbers) -> (all D (m2_fraenkel(D,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all E (m1_subset_1(E,A) -> k4_real_1(C,k8_funct_2(A,k1_numbers,D,E)) = k8_funct_2(A,k1_numbers,k2_funcsdom(A,k1_numbers,k1_numbers,k1_fraenkel(A,k1_numbers),B,k1_domain_1(k1_numbers,k1_fraenkel(A,k1_numbers),C,D)),E))))))) <-> k8_funcsdom(A) = B))))) # label(d4_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7716 (all A (-v1_xboole_0(A) -> v1_funcsdom(k13_funcsdom(A)) & -v3_struct_0(k13_funcsdom(A)))) # label(fc3_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7717 (all A all B all C all D all E (-v1_xboole_0(A) & -v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k1_fraenkel(A,B),k1_fraenkel(A,B)),k1_fraenkel(A,B)) & m1_relset_1(C,k2_zfmisc_1(k1_fraenkel(A,B),k1_fraenkel(A,B)),k1_fraenkel(A,B)) & m1_subset_1(E,k1_fraenkel(A,B)) & m1_subset_1(D,k1_fraenkel(A,B)) -> m2_fraenkel(k1_funcsdom(A,B,C,D,E),A,B,k1_fraenkel(A,B)))) # label(dt_k1_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7718 (all A (-v1_xboole_0(A) -> (all B (m2_fraenkel(B,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all C (m2_fraenkel(C,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all D (m2_fraenkel(D,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (B = k1_funcsdom(A,k1_numbers,k7_funcsdom(A),C,D) <-> (all E (m1_subset_1(E,A) -> k4_real_1(k8_funct_2(A,k1_numbers,C,E),k8_funct_2(A,k1_numbers,D,E)) = k8_funct_2(A,k1_numbers,B,E)))))))))))) # label(t11_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7719 (all A (-v1_xboole_0(A) -> v4_group_1(k13_funcsdom(A)) & l1_funcsdom(k13_funcsdom(A)) & v2_funcsdom(k13_funcsdom(A)) & v7_group_1(k13_funcsdom(A)) & v6_rlvect_1(k13_funcsdom(A)) & v5_rlvect_1(k13_funcsdom(A)) & v4_rlvect_1(k13_funcsdom(A)) & v3_rlvect_1(k13_funcsdom(A)) & -v3_struct_0(k13_funcsdom(A)))) # label(t50_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7720 (all A (-v1_xboole_0(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_fraenkel(A,k1_numbers),k1_fraenkel(A,k1_numbers)),k1_fraenkel(A,k1_numbers)) & m2_relset_1(B,k2_zfmisc_1(k1_fraenkel(A,k1_numbers),k1_fraenkel(A,k1_numbers)),k1_fraenkel(A,k1_numbers)) -> ((all C (m2_fraenkel(C,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all D (m2_fraenkel(D,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> k1_funcsdom(A,k1_numbers,B,C,D) = k4_funcsdom(k1_numbers,A,k35_binop_2,C,D))))) <-> B = k7_funcsdom(A)))))) # label(d3_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7721 $T # label(t4_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7722 (all A all B all C all D all E (-v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k1_fraenkel(A,B),k1_fraenkel(A,B)),k1_fraenkel(A,B)) & m1_subset_1(E,k1_fraenkel(A,B)) & m1_subset_1(D,k1_fraenkel(A,B)) & m1_relset_1(C,k2_zfmisc_1(k1_fraenkel(A,B),k1_fraenkel(A,B)),k1_fraenkel(A,B)) & -v1_xboole_0(A) -> k1_binop_1(C,D,E) = k1_funcsdom(A,B,C,D,E))) # label(redefinition_k1_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7723 $T # label(d16_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7724 (all A (-v1_xboole_0(A) -> -v3_struct_0(k13_funcsdom(A)) & v2_group_1(k13_funcsdom(A)) & v1_funcsdom(k13_funcsdom(A)) & v8_vectsp_1(k13_funcsdom(A)) & v6_vectsp_1(k13_funcsdom(A)))) # label(fc4_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7725 (exists A (v7_rlvect_1(A) & (exists B (m1_subset_1(B,u1_struct_0(A)) & (exists C ((all D (m1_subset_1(D,u1_struct_0(A)) -> (exists E (m1_subset_1(E,k1_numbers) & (exists F (m1_subset_1(F,k1_numbers) & k4_rlvect_1(A,k3_rlvect_1(A,B,E),k3_rlvect_1(A,C,F)) = D)))))) & (all D (m1_subset_1(D,k1_numbers) -> (all E (m1_subset_1(E,k1_numbers) -> (k1_rlvect_1(A) = k4_rlvect_1(A,k3_rlvect_1(A,B,D),k3_rlvect_1(A,C,E)) -> E = np__0 & np__0 = D))))) & m1_subset_1(C,u1_struct_0(A)))))) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & v2_rlvect_1(A) & -v3_struct_0(A))) # label(t37_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7726 (all A (l1_funcsdom(A) -> l2_rlvect_1(A) & l3_vectsp_1(A))) # label(dt_l1_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7727 (all A (-v1_xboole_0(A) -> m2_relset_1(k7_funcsdom(A),k2_zfmisc_1(k1_fraenkel(A,k1_numbers),k1_fraenkel(A,k1_numbers)),k1_fraenkel(A,k1_numbers)) & v1_funct_2(k7_funcsdom(A),k2_zfmisc_1(k1_fraenkel(A,k1_numbers),k1_fraenkel(A,k1_numbers)),k1_fraenkel(A,k1_numbers)) & v1_funct_1(k7_funcsdom(A)))) # label(dt_k7_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7728 (all A all B all C all D all E all F (v1_funct_1(B) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A) & m1_relset_1(D,k2_zfmisc_1(k1_numbers,A),A) & m1_subset_1(E,A) & m1_subset_1(F,A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) -> (all G all H all I all J all K all L (g1_funcsdom(A,B,C,D,E,F) = g1_funcsdom(G,H,I,J,K,L) -> B = H & I = C & J = D & F = L & K = E & G = A)))) # label(free_g1_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7729 (all A (-v1_xboole_0(A) -> g1_funcsdom(k1_fraenkel(A,k1_numbers),k7_funcsdom(A),k6_funcsdom(A),k8_funcsdom(A),k10_funcsdom(A),k9_funcsdom(A)) = k13_funcsdom(A))) # label(d19_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7730 $T # label(d8_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7731 $T # label(t2_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7732 (all A (-v1_xboole_0(A) -> (all B (m2_fraenkel(B,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all C (m2_fraenkel(C,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all D (m2_fraenkel(D,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> k1_funcsdom(A,k1_numbers,k7_funcsdom(A),k1_funcsdom(A,k1_numbers,k7_funcsdom(A),B,C),D) = k1_funcsdom(A,k1_numbers,k7_funcsdom(A),B,k1_funcsdom(A,k1_numbers,k7_funcsdom(A),C,D)))))))))) # label(t19_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7733 (all A (-v1_xboole_0(A) -> (all B (m2_fraenkel(B,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all C (m2_fraenkel(C,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> k1_funcsdom(A,k1_numbers,k7_funcsdom(A),B,C) = k1_funcsdom(A,k1_numbers,k7_funcsdom(A),C,B))))))) # label(t18_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7734 (all A all B all C (-v1_xboole_0(C) -> (all D (m2_fraenkel(D,C,k1_numbers,k1_fraenkel(C,k1_numbers)) -> (all E (m2_fraenkel(E,C,k1_numbers,k1_fraenkel(C,k1_numbers)) -> ((all F (r2_hidden(F,C) -> (F = A -> k1_funct_1(E,F) = np__0) & (A != F -> k1_funct_1(E,F) = np__1))) & (all F (r2_hidden(F,C) -> (F != A -> k1_funct_1(D,F) = np__0) & (F = A -> k1_funct_1(D,F) = np__1))) & r2_hidden(B,C) & r2_hidden(A,C) -> (all F (m1_subset_1(F,k1_numbers) -> (all G (m1_subset_1(G,k1_numbers) -> (k1_funcsdom(C,k1_numbers,k6_funcsdom(C),k2_funcsdom(C,k1_numbers,k1_numbers,k1_fraenkel(C,k1_numbers),k8_funcsdom(C),k1_domain_1(k1_numbers,k1_fraenkel(C,k1_numbers),F,D)),k2_funcsdom(C,k1_numbers,k1_numbers,k1_fraenkel(C,k1_numbers),k8_funcsdom(C),k1_domain_1(k1_numbers,k1_fraenkel(C,k1_numbers),G,E))) = k9_funcsdom(C) -> F = np__0 & G = np__0))))) | B = A))))))) # label(t29_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7735 $T # label(d15_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7736 (all A (-v1_xboole_0(A) -> -v3_struct_0(g2_rlvect_1(k1_fraenkel(A,k1_numbers),k9_funcsdom(A),k6_funcsdom(A),k8_funcsdom(A))) & l2_rlvect_1(g2_rlvect_1(k1_fraenkel(A,k1_numbers),k9_funcsdom(A),k6_funcsdom(A),k8_funcsdom(A))) & v7_rlvect_1(g2_rlvect_1(k1_fraenkel(A,k1_numbers),k9_funcsdom(A),k6_funcsdom(A),k8_funcsdom(A))) & v6_rlvect_1(g2_rlvect_1(k1_fraenkel(A,k1_numbers),k9_funcsdom(A),k6_funcsdom(A),k8_funcsdom(A))) & v5_rlvect_1(g2_rlvect_1(k1_fraenkel(A,k1_numbers),k9_funcsdom(A),k6_funcsdom(A),k8_funcsdom(A))) & v4_rlvect_1(g2_rlvect_1(k1_fraenkel(A,k1_numbers),k9_funcsdom(A),k6_funcsdom(A),k8_funcsdom(A))) & v3_rlvect_1(g2_rlvect_1(k1_fraenkel(A,k1_numbers),k9_funcsdom(A),k6_funcsdom(A),k8_funcsdom(A))))) # label(t34_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7737 (all A all B all C all D all E all F (v1_funct_1(B) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A) & m1_relset_1(D,k2_zfmisc_1(k1_numbers,A),A) & m1_subset_1(F,A) & m1_subset_1(E,A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) -> v1_funcsdom(g1_funcsdom(A,B,C,D,E,F)) & l1_funcsdom(g1_funcsdom(A,B,C,D,E,F)))) # label(dt_g1_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7738 $T # label(d17_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7739 (all A all B (-v1_xboole_0(B) -> (exists C (m2_fraenkel(C,B,k1_numbers,k1_fraenkel(B,k1_numbers)) & (exists D (m2_fraenkel(D,B,k1_numbers,k1_fraenkel(B,k1_numbers)) & (all E (r2_hidden(E,B) -> (E = A -> k1_funct_1(C,E) = np__1) & (E != A -> np__0 = k1_funct_1(C,E)))) & (all E (r2_hidden(E,B) -> (A = E -> np__0 = k1_funct_1(D,E)) & (E != A -> k1_funct_1(D,E) = np__1))))))))) # label(t28_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7740 (all A (-v1_xboole_0(A) -> (all B (m2_fraenkel(B,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> B = k1_funcsdom(A,k1_numbers,k7_funcsdom(A),k10_funcsdom(A),B))))) # label(t20_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7741 (all A (-v1_xboole_0(A) -> (all B (m2_fraenkel(B,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all C (m2_fraenkel(C,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all D (m2_fraenkel(D,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (k1_funcsdom(A,k1_numbers,k6_funcsdom(A),C,D) = B <-> (all E (m1_subset_1(E,A) -> k8_funct_2(A,k1_numbers,B,E) = k3_real_1(k8_funct_2(A,k1_numbers,C,E),k8_funct_2(A,k1_numbers,D,E))))))))))))) # label(t10_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7742 (all A (-v1_xboole_0(A) -> k2_funcop_1(A,np__0) = k9_funcsdom(A))) # label(d5_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7743 (all A (l1_funcsdom(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,k1_numbers) -> (all F (m1_subset_1(F,k1_numbers) -> k3_rlvect_1(A,k1_group_1(A,B,C),E) = k1_group_1(A,k3_rlvect_1(A,B,E),C) & k2_rlvect_1(A,k3_rlvect_1(A,B,E),k3_rlvect_1(A,B,F)) = k3_rlvect_1(A,B,k3_real_1(E,F)) & k3_rlvect_1(A,k3_rlvect_1(A,B,F),E) = k3_rlvect_1(A,B,k4_real_1(E,F)) & k2_rlvect_1(A,k3_rlvect_1(A,B,E),k3_rlvect_1(A,C,E)) = k3_rlvect_1(A,k2_rlvect_1(A,B,C),E) & k2_rlvect_1(A,k1_group_1(A,B,C),k1_group_1(A,B,D)) = k1_group_1(A,B,k2_rlvect_1(A,C,D)) & B = k1_group_1(A,B,k2_group_1(A)))))))))))) <-> v2_funcsdom(A)))) # label(d20_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7744 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u1_struct_0(k12_funcsdom(A))) -> (all C (m1_subset_1(C,u1_struct_0(k12_funcsdom(A))) -> (all D (m1_subset_1(D,u1_struct_0(k12_funcsdom(A))) -> k2_rlvect_1(k12_funcsdom(A),B,C) = k2_rlvect_1(k12_funcsdom(A),C,B) & B = k2_rlvect_1(k12_funcsdom(A),B,k1_rlvect_1(k12_funcsdom(A))) & (exists E (k1_rlvect_1(k12_funcsdom(A)) = k2_rlvect_1(k12_funcsdom(A),B,E) & m1_subset_1(E,u1_struct_0(k12_funcsdom(A))))) & k1_group_1(k12_funcsdom(A),B,k2_group_1(k12_funcsdom(A))) = B & k2_rlvect_1(k12_funcsdom(A),k1_group_1(k12_funcsdom(A),C,B),k1_group_1(k12_funcsdom(A),D,B)) = k1_group_1(k12_funcsdom(A),k2_rlvect_1(k12_funcsdom(A),C,D),B) & k1_group_1(k12_funcsdom(A),B,k2_rlvect_1(k12_funcsdom(A),C,D)) = k2_rlvect_1(k12_funcsdom(A),k1_group_1(k12_funcsdom(A),B,C),k1_group_1(k12_funcsdom(A),B,D)) & B = k1_group_1(k12_funcsdom(A),k2_group_1(k12_funcsdom(A)),B) & k1_group_1(k12_funcsdom(A),k1_group_1(k12_funcsdom(A),B,C),D) = k1_group_1(k12_funcsdom(A),B,k1_group_1(k12_funcsdom(A),C,D)) & k1_group_1(k12_funcsdom(A),C,B) = k1_group_1(k12_funcsdom(A),B,C) & k2_rlvect_1(k12_funcsdom(A),B,k2_rlvect_1(k12_funcsdom(A),C,D)) = k2_rlvect_1(k12_funcsdom(A),k2_rlvect_1(k12_funcsdom(A),B,C),D))))))))) # label(t42_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7745 (all A all B all C all D all E all F (-v1_xboole_0(C) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(C,D),k1_fraenkel(A,B)) & m1_subset_1(F,k2_zfmisc_1(C,D)) & m1_relset_1(E,k2_zfmisc_1(C,D),k1_fraenkel(A,B)) & -v1_xboole_0(D) & -v1_xboole_0(B) & -v1_xboole_0(A) -> m2_fraenkel(k2_funcsdom(A,B,C,D,E,F),A,B,k1_fraenkel(A,B)))) # label(dt_k2_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7746 $T # label(t46_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7747 (all A (-v1_xboole_0(A) -> -v3_struct_0(k11_funcsdom(A)) & v2_rlvect_1(k11_funcsdom(A)) & v4_rlvect_1(k11_funcsdom(A)) & v6_rlvect_1(k11_funcsdom(A)) & v7_rlvect_1(k11_funcsdom(A)) & l2_rlvect_1(k11_funcsdom(A)) & v5_rlvect_1(k11_funcsdom(A)) & v3_rlvect_1(k11_funcsdom(A)))) # label(dt_k11_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7748 (all A (-v1_xboole_0(A) -> k12_funcsdom(A) = g3_vectsp_1(k1_fraenkel(A,k1_numbers),k6_funcsdom(A),k7_funcsdom(A),k10_funcsdom(A),k9_funcsdom(A)))) # label(d12_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7749 (all A (-v1_xboole_0(A) -> m2_fraenkel(k10_funcsdom(A),A,k1_numbers,k1_fraenkel(A,k1_numbers)))) # label(dt_k10_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7750 (all A (-v1_xboole_0(A) -> (all B (m2_fraenkel(B,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all C (m2_fraenkel(C,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> k1_funcsdom(A,k1_numbers,k6_funcsdom(A),C,B) = k1_funcsdom(A,k1_numbers,k6_funcsdom(A),B,C))))))) # label(t16_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7751 (all A (-v1_xboole_0(A) -> (all B (m2_fraenkel(B,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all C (m2_fraenkel(C,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all D (m1_subset_1(D,k1_numbers) -> (k2_funcsdom(A,k1_numbers,k1_numbers,k1_fraenkel(A,k1_numbers),k8_funcsdom(A),k1_domain_1(k1_numbers,k1_fraenkel(A,k1_numbers),D,C)) = B <-> (all E (m1_subset_1(E,A) -> k4_real_1(D,k8_funct_2(A,k1_numbers,C,E)) = k8_funct_2(A,k1_numbers,B,E)))))))))))) # label(t15_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7752 $T # label(t5_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7753 (all A (-v1_xboole_0(A) -> (all B (m2_fraenkel(B,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all C (m2_fraenkel(C,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all D (m2_fraenkel(D,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> k1_funcsdom(A,k1_numbers,k7_funcsdom(A),B,k1_funcsdom(A,k1_numbers,k6_funcsdom(A),C,D)) = k1_funcsdom(A,k1_numbers,k6_funcsdom(A),k1_funcsdom(A,k1_numbers,k7_funcsdom(A),B,C),k1_funcsdom(A,k1_numbers,k7_funcsdom(A),B,D)))))))))) # label(t26_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7754 (exists A (l3_vectsp_1(A) & -v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_group_1(A) & v3_vectsp_1(A) & v4_vectsp_1(A) & v6_vectsp_1(A) & v3_rlvect_1(A))) # label(rc1_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7755 (all A (-v1_xboole_0(A) -> k2_funcop_1(A,np__1) = k10_funcsdom(A))) # label(d6_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7756 (all A (-v1_xboole_0(A) -> k10_funcsdom(A) = k2_group_1(k13_funcsdom(A)))) # label(t44_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7757 $T # label(t1_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7758 (all A (-v1_xboole_0(A) -> k10_funcsdom(A) = k2_group_1(k12_funcsdom(A)))) # label(t41_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7759 (all A all B (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & m1_rlvect_2(B,A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> m1_subset_1(k13_rlvect_2(A,B),u1_struct_0(A)))) # label(dt_k13_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7760 (all A (-v3_struct_0(A) & l2_struct_0(A) -> (all B (m2_fraenkel(B,u1_struct_0(A),k1_numbers,k1_fraenkel(u1_struct_0(A),k1_numbers)) -> (m1_rlvect_2(B,A) <-> (exists C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & (all D (m1_subset_1(D,u1_struct_0(A)) -> (-r2_hidden(D,C) -> k8_funct_2(u1_struct_0(A),k1_numbers,B,D) = np__0))) & v1_finset_1(C)))))))) # label(d5_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7761 (all A all B (l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(B) & -v3_struct_0(A) -> m1_subset_1(k6_rlvect_2(A,B),u1_struct_0(A)))) # label(dt_k6_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7762 $T # label(t87_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7763 (all A (-v3_struct_0(A) & l1_rlvect_1(A) -> (all B (m1_rlvect_2(B,A) -> (all C (m1_rlvect_2(C,A) -> (r1_rlvect_2(A,B,C) <-> (all D (m1_subset_1(D,u1_struct_0(A)) -> k8_funct_2(u1_struct_0(A),k1_numbers,B,D) = k8_funct_2(u1_struct_0(A),k1_numbers,C,D)))))))))) # label(d11_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7764 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k6_rlvect_2(A,k3_rlvect_2(A,C,B)) = k6_rlvect_1(A,k4_rlvect_1(A,k6_rlvect_2(A,C),k6_rlvect_2(A,B)),k6_rlvect_2(A,k2_rlvect_2(A,C,B))))))))) # label(t20_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7765 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_rlvect_2(C,A) -> (all D (m1_rlvect_2(D,A) -> r1_rlvect_2(A,k15_rlvect_2(A,B,k14_rlvect_2(A,C,D)),k14_rlvect_2(A,k15_rlvect_2(A,B,C),k15_rlvect_2(A,B,D))))))))))) # label(t69_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7766 $T # label(t26_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7767 $T # label(t39_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7768 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_rlvect_2(B,A) -> r1_rlvect_2(A,k14_rlvect_2(A,B,k11_rlvect_2(A)),B) & r1_rlvect_2(A,k14_rlvect_2(A,k11_rlvect_2(A),B),B))))) # label(t62_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7769 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(C) & v1_finset_1(B) & l1_struct_0(A) -> k4_xboole_0(B,C) = k4_rlvect_2(A,B,C))) # label(redefinition_k4_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7770 $T # label(t1_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7771 (all A all B (-v3_struct_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_rlvect_1(A) -> (exists C m2_rlvect_2(C,A,B)))) # label(existence_m2_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7772 (all A (v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlvect_2(B,A) -> (all C (m1_rlvect_2(C,A) -> (all D (m1_rlvect_2(D,A) -> r1_rlvect_2(A,k14_rlvect_2(A,B,k14_rlvect_2(A,C,D)),k14_rlvect_2(A,k14_rlvect_2(A,B,C),D)))))))))) # label(t61_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7773 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_rlvect_2(B,A) -> k20_rlvect_2(A,B) = B)))) # label(d18_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7774 (all A (-v3_struct_0(A) & l1_rlvect_1(A) -> (all B (m1_rlvect_2(B,A) -> (all C (m1_rlvect_2(C,A) -> r1_rlvect_2(A,k14_rlvect_2(A,B,C),k14_rlvect_2(A,C,B)))))))) # label(t60_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.62	7775 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(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 (m2_rlvect_2(D,A,k8_rlvect_2(A,B,C)) -> k13_rlvect_2(A,D) = k4_rlvect_1(A,k3_rlvect_1(A,B,k8_funct_2(u1_struct_0(A),k1_numbers,D,B)),k3_rlvect_1(A,C,k8_funct_2(u1_struct_0(A),k1_numbers,D,C)))))))))))) # label(t51_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7776 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> k21_rlvect_2(A) = u1_rlvect_1(k23_rlvect_2(A)))) # label(t94_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7777 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlvect_2(C,A) -> (k7_rlvect_2(A,B) = k10_rlvect_2(A,C) -> k3_rlvect_1(A,B,k8_funct_2(u1_struct_0(A),k1_numbers,C,B)) = k13_rlvect_2(A,C)))))))) # label(t53_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7778 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_rlvect_2(B,A) -> r1_rlvect_2(A,k17_rlvect_2(A,B,B),k11_rlvect_2(A)))))) # label(t82_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7779 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k18_rlvect_2(A)) -> B = k19_rlvect_2(A,B))))) # label(d17_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7780 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (B != C -> k6_rlvect_2(A,k8_rlvect_2(A,B,C)) = k4_rlvect_1(A,B,C)))))))) # label(t16_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7781 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> u2_rlvect_1(k23_rlvect_2(A)) = k22_rlvect_2(A))) # label(t95_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7782 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> -v1_xboole_0(k18_rlvect_2(A)))) # label(fc1_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7783 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m2_rlvect_2(C,A,k7_rlvect_2(A,B)) -> k13_rlvect_2(A,C) = k3_rlvect_1(A,B,k8_funct_2(u1_struct_0(A),k1_numbers,C,B)))))))) # label(t50_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7784 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_rlsub_1(C,k23_rlvect_2(A)) & v2_rlvect_1(C) -> (C = k24_rlvect_2(A,B) <-> u1_struct_0(C) = a_2_1_rlvect_2(A,B)))))))) # label(d22_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7785 (all A (-v3_struct_0(A) & l1_rlvect_1(A) -> (all B (v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (C = k6_rlvect_2(A,B) <-> (exists D (m2_finseq_1(D,u1_struct_0(A)) & B = k2_relat_1(D) & v2_funct_1(D) & k9_rlvect_1(A,D) = C)))))))))) # label(d4_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7786 (all A all B all C (v1_finset_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(C) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_struct_0(A) -> k3_rlvect_2(A,C,B) = k3_rlvect_2(A,B,C))) # label(commutativity_k3_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7787 (all A (v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m2_relset_1(B,k2_zfmisc_1(k1_numbers,k18_rlvect_2(A)),k18_rlvect_2(A)) & v1_funct_2(B,k2_zfmisc_1(k1_numbers,k18_rlvect_2(A)),k18_rlvect_2(A)) & v1_funct_1(B) -> (B = k22_rlvect_2(A) <-> (all C (m1_subset_1(C,k1_numbers) -> (all D (m1_subset_1(D,k18_rlvect_2(A)) -> k15_rlvect_2(A,C,k19_rlvect_2(A,D)) = k1_funct_1(B,k4_tarski(C,D))))))))))) # label(d20_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7788 $T # label(t11_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7789 $T # label(t88_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7790 (all A (l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,k2_zfmisc_1(k18_rlvect_2(A),k18_rlvect_2(A)),k18_rlvect_2(A)) & v1_funct_2(B,k2_zfmisc_1(k18_rlvect_2(A),k18_rlvect_2(A)),k18_rlvect_2(A)) -> (k21_rlvect_2(A) = B <-> (all C (m1_subset_1(C,k18_rlvect_2(A)) -> (all D (m1_subset_1(D,k18_rlvect_2(A)) -> k14_rlvect_2(A,k19_rlvect_2(A,C),k19_rlvect_2(A,D)) = k2_binop_1(k18_rlvect_2(A),k18_rlvect_2(A),k18_rlvect_2(A),B,C,D)))))))))) # label(d19_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7791 $T # label(t57_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7792 $T # label(t10_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7793 $T # label(t46_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7794 (all A (v3_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (B != k1_xboole_0 & v1_rlsub_1(B,A) <-> (all C (m2_rlvect_2(C,A,B) -> r2_hidden(k13_rlvect_2(A,C),B)))))))) # label(t47_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7795 (all A (v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & m2_relset_1(B,u1_struct_0(A),k1_numbers) -> k12_rlvect_2(A,k6_finseq_1(u1_struct_0(A)),B) = k6_finseq_1(u1_struct_0(A)))))) # label(t41_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7796 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> k11_rlvect_2(A) = u2_struct_0(k23_rlvect_2(A)))) # label(t93_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7797 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlvect_2(B,A) -> (all C (m1_rlvect_2(C,A) -> (all D (m1_rlvect_2(D,A) -> ((all E (m1_subset_1(E,u1_struct_0(A)) -> k8_funct_2(u1_struct_0(A),k1_numbers,D,E) = k3_real_1(k8_funct_2(u1_struct_0(A),k1_numbers,B,E),k8_funct_2(u1_struct_0(A),k1_numbers,C,E)))) <-> D = k14_rlvect_2(A,B,C)))))))))) # label(d12_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7798 (all A all B (-v3_struct_0(A) & v4_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> m1_rlsub_1(k24_rlvect_2(A,B),k23_rlvect_2(A)) & v2_rlvect_1(k24_rlvect_2(A,B)))) # label(dt_k24_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7799 $T # label(t36_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7800 (all A (-v3_struct_0(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_rlvect_2(B,A) -> r1_rlvect_2(A,k15_rlvect_2(A,np__0,B),k11_rlvect_2(A)))))) # label(t66_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7801 $T # label(t45_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7802 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) -> v4_rlvect_1(k23_rlvect_2(A)) & v5_rlvect_1(k23_rlvect_2(A)) & v6_rlvect_1(k23_rlvect_2(A)) & v7_rlvect_1(k23_rlvect_2(A)) & v3_rlvect_1(k23_rlvect_2(A)) & v2_rlvect_1(k23_rlvect_2(A)) & -v3_struct_0(k23_rlvect_2(A)))) # label(fc2_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7803 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlvect_2(B,A) -> r1_rlvect_2(A,k16_rlvect_2(A,k16_rlvect_2(A,B)),B))))) # label(t77_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7804 (all A (-v3_struct_0(A) & l1_rlvect_1(A) -> m1_rlvect_2(k11_rlvect_2(A),A))) # label(dt_k11_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7805 (all A (v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlvect_2(B,A) -> (all C (m1_rlvect_2(C,A) -> (r1_rlvect_2(A,k14_rlvect_2(A,B,C),k11_rlvect_2(A)) -> r1_rlvect_2(A,C,k16_rlvect_2(A,B))))))))) # label(t74_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7806 (all A all B all C all D (-v3_struct_0(A) & l1_struct_0(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) -> v1_finset_1(k9_rlvect_2(A,B,C,D)) & m1_subset_1(k9_rlvect_2(A,B,C,D),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k9_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7807 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (all D (m2_finseq_1(D,u1_struct_0(A)) -> (k3_finseq_1(D) = k3_finseq_1(B) & (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (r2_hidden(E,k1_relat_1(B)) -> k6_rlvect_1(A,k4_finseq_4(k5_numbers,u1_struct_0(A),B,E),k4_finseq_4(k5_numbers,u1_struct_0(A),C,E)) = k1_funct_1(D,E)))) & k3_finseq_1(C) = k3_finseq_1(B) -> k9_rlvect_1(A,D) = k6_rlvect_1(A,k9_rlvect_1(A,B),k9_rlvect_1(A,C))))))))))) # label(t7_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7808 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (all D (v3_funct_2(D,k1_relat_1(B),k1_relat_1(B)) & m2_relset_1(D,k1_relat_1(B),k1_relat_1(B)) & v1_funct_2(D,k1_relat_1(B),k1_relat_1(B)) & v1_funct_1(D) -> (C = k5_relat_1(D,B) -> k9_rlvect_1(A,C) = k9_rlvect_1(A,B)))))))))) # label(t9_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7809 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(B) & l1_struct_0(A) -> v1_finset_1(k3_rlvect_2(A,B,C)) & m1_subset_1(k3_rlvect_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k3_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7810 (all A all B all C (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & m1_rlvect_2(C,A) & m1_subset_1(B,k1_numbers) & v3_rlvect_1(A) & -v3_struct_0(A) -> m1_rlvect_2(k15_rlvect_2(A,B,C),A))) # label(dt_k15_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7811 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> k13_rlvect_2(A,k11_rlvect_2(A)) = k1_rlvect_1(A))) # label(t48_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7812 (all A (l1_struct_0(A) -> (all B (r1_rlvect_1(A,B) -> k1_rlvect_2(A,B) = B)))) # label(d1_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7813 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) -> (all B (m1_subset_1(B,k1_numbers) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (all D (m2_finseq_1(D,u1_struct_0(A)) -> (k3_finseq_1(C) = k3_finseq_1(D) & (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (r2_hidden(E,k1_relat_1(C)) -> k3_rlvect_1(A,k4_finseq_4(k5_numbers,u1_struct_0(A),C,E),B) = k1_funct_1(D,E)))) -> k9_rlvect_1(A,D) = k3_rlvect_1(A,k9_rlvect_1(A,C),B)))))))))) # label(t5_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7814 (all A (l1_struct_0(A) & -v3_struct_0(A) -> (exists B (-v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(rc2_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7815 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(C) -> k6_rlvect_2(A,k4_rlvect_2(A,C,B)) = k6_rlvect_1(A,k6_rlvect_2(A,C),k6_rlvect_2(A,k3_rlvect_2(A,C,B))))))))) # label(t22_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7816 $T # label(t85_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7817 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) -> (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_rlvect_2(C,A) -> (np__0 != B -> k10_rlvect_2(A,k15_rlvect_2(A,B,C)) = k10_rlvect_2(A,C)))))))) # label(t65_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7818 (all A (l1_struct_0(A) -> (exists B (v1_xboole_0(B) & v1_finset_1(B) & v2_membered(B) & v4_membered(B) & v5_membered(B) & v3_membered(B) & v1_membered(B) & v1_funct_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(rc1_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7819 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m2_rlvect_2(B,A,k1_subset_1(u1_struct_0(A))) -> B = k11_rlvect_2(A))))) # label(t35_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7820 (all A all B all C (l1_struct_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(B) -> v1_finset_1(k2_rlvect_2(A,B,C)) & m1_subset_1(k2_rlvect_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k2_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7821 (all A all B all C (l1_struct_0(A) & v1_finset_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(C) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> B = k3_rlvect_2(A,B,B))) # label(idempotence_k3_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7822 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_rlvect_2(B,A) -> r1_rlvect_2(A,k15_rlvect_2(A,np__1,B),B))))) # label(t71_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7823 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlvect_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (-r2_hidden(C,k10_rlvect_2(A,B)) <-> k8_funct_2(u1_struct_0(A),k1_numbers,B,C) = np__0))))))) # label(t28_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7824 (all A all B all C (-v3_struct_0(A) & l1_struct_0(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) -> k2_tarski(B,C) = k8_rlvect_2(A,B,C))) # label(redefinition_k8_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7825 (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(k8_rlvect_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(k8_rlvect_2(A,B,C)))) # label(dt_k8_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7826 $T # label(t84_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7827 (all A all B all C (-v3_struct_0(A) & v3_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & m1_finseq_1(B,u1_struct_0(A)) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & m1_relset_1(C,u1_struct_0(A),k1_numbers) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> m2_finseq_1(k12_rlvect_2(A,B,C),u1_struct_0(A)))) # label(dt_k12_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7828 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlvect_2(B,A) -> (all C (m1_rlvect_2(C,A) -> k17_rlvect_2(A,B,C) = k14_rlvect_2(A,B,k16_rlvect_2(A,C)))))))) # label(d15_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7829 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlvect_2(B,A) -> k10_rlvect_2(A,B) = a_2_0_rlvect_2(A,B))))) # label(d6_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7830 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> k23_rlvect_2(A) = g2_rlvect_1(k18_rlvect_2(A),k20_rlvect_2(A,k11_rlvect_2(A)),k21_rlvect_2(A),k22_rlvect_2(A)))) # label(d21_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7831 (all A all B all C (l1_struct_0(A) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(B) -> k3_rlvect_2(A,B,C) = k3_xboole_0(B,C))) # label(redefinition_k3_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7832 $T # label(t13_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7833 $T # label(t29_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7834 $T # label(t27_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7835 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,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),k1_numbers) & v1_funct_2(D,u1_struct_0(A),k1_numbers) -> k2_finseq_4(u1_struct_0(A),k3_rlvect_1(A,B,k8_funct_2(u1_struct_0(A),k1_numbers,D,B)),k3_rlvect_1(A,C,k8_funct_2(u1_struct_0(A),k1_numbers,D,C))) = k12_rlvect_2(A,k2_finseq_4(u1_struct_0(A),B,C),D))))))))) # label(t43_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7836 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v4_rlvect_1(A) -> v1_funct_1(k21_rlvect_2(A)) & v1_funct_2(k21_rlvect_2(A),k2_zfmisc_1(k18_rlvect_2(A),k18_rlvect_2(A)),k18_rlvect_2(A)) & m2_relset_1(k21_rlvect_2(A),k2_zfmisc_1(k18_rlvect_2(A),k18_rlvect_2(A)),k18_rlvect_2(A)))) # label(dt_k21_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7837 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m2_rlvect_2(B,A,k1_subset_1(u1_struct_0(A))) -> k1_rlvect_1(A) = k13_rlvect_2(A,B))))) # label(t49_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7838 (all A all B all C (-v3_struct_0(A) & l1_rlvect_1(A) & m1_rlvect_2(C,A) & m1_rlvect_2(B,A) -> (B = C <-> r1_rlvect_2(A,B,C)))) # label(redefinition_r1_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7839 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_rlvect_2(C,A) -> (all D (m1_rlvect_2(D,A) -> (m2_rlvect_2(C,A,B) & m2_rlvect_2(D,A,B) -> m2_rlvect_2(k14_rlvect_2(A,C,D),A,B)))))))))) # label(t59_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7840 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & l2_rlvect_1(B) & v7_rlvect_1(B) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m2_finseq_1(D,u1_struct_0(B)) -> (all E (m2_relset_1(E,u1_struct_0(B),k1_numbers) & v1_funct_2(E,u1_struct_0(B),k1_numbers) & v1_funct_1(E) -> (C = k1_funct_1(D,A) & r2_hidden(A,k1_relat_1(D)) -> k1_funct_1(k12_rlvect_2(B,D,E),A) = k3_rlvect_1(B,C,k8_funct_2(u1_struct_0(B),k1_numbers,E,C))))))))))))) # label(t40_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7841 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlvect_2(B,A) -> (all C (m1_rlvect_2(C,A) -> r1_tarski(k10_rlvect_2(A,k14_rlvect_2(A,B,C)),k2_rlvect_2(A,k10_rlvect_2(A,B),k10_rlvect_2(A,C))))))))) # label(t58_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7842 $T # label(t86_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7843 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k6_rlvect_2(A,k7_rlvect_2(A,B)) = B)))) # label(t15_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7844 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlvect_2(B,A) -> (k10_rlvect_2(A,B) = k1_xboole_0 <-> B = k11_rlvect_2(A)))))) # label(d7_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7845 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B ((all C (m1_rlvect_2(C,A) <-> r2_hidden(C,B))) <-> B = k18_rlvect_2(A))))) # label(d16_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7846 (all A all B all C (-v3_struct_0(B) & m1_rlvect_2(C,B) & l1_rlvect_1(B) -> (r2_hidden(A,a_2_0_rlvect_2(B,C)) <-> (exists D (m1_subset_1(D,u1_struct_0(B)) & D = A & k8_funct_2(u1_struct_0(B),k1_numbers,C,D) != np__0))))) # label(fraenkel_a_2_0_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7847 (all A all B all C (v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(B) & l1_struct_0(A) -> v1_finset_1(k4_rlvect_2(A,B,C)) & m1_subset_1(k4_rlvect_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k4_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7848 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) -> u1_struct_0(k23_rlvect_2(A)) = k18_rlvect_2(A))) # label(t92_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7849 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> np__0 = k8_funct_2(u1_struct_0(A),k1_numbers,k11_rlvect_2(A),B))))) # label(t30_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7850 $T # label(t55_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7851 (all A all B all C (v3_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & l2_rlvect_1(B) & v7_rlvect_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> ((exists D (A = D & m2_rlvect_2(D,B,C))) <-> r2_hidden(A,a_2_1_rlvect_2(B,C))))) # label(fraenkel_a_2_1_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7852 $T # label(t91_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7853 (all A (l2_struct_0(A) & -v3_struct_0(A) -> (all B (m1_rlvect_2(B,A) -> m2_fraenkel(B,u1_struct_0(A),k1_numbers,k1_fraenkel(u1_struct_0(A),k1_numbers)))))) # label(dt_m1_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7854 $T # label(t64_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7855 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_rlvect_2(C,A) -> (all D (m1_rlvect_2(D,A) -> ((all E (m1_subset_1(E,u1_struct_0(A)) -> k8_funct_2(u1_struct_0(A),k1_numbers,D,E) = k4_real_1(B,k8_funct_2(u1_struct_0(A),k1_numbers,C,E)))) <-> D = k15_rlvect_2(A,B,C)))))))))) # label(d13_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7856 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_rlvect_2(C,A) -> k3_rlvect_1(k23_rlvect_2(A),k1_rlvect_2(k23_rlvect_2(A),C),B) = k15_rlvect_2(A,B,C))))))) # label(t97_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7857 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> k6_rlvect_2(A,k1_pre_topc(A)) = k1_rlvect_1(A))) # label(t14_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7858 $T # label(t72_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7859 (all A all B all C (v1_finset_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(C) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_struct_0(A) -> k2_rlvect_2(A,B,C) = k2_rlvect_2(A,C,B))) # label(commutativity_k2_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7860 (all A (v3_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_rlvect_2(D,A) -> (m2_rlvect_2(D,A,C) -> m2_rlvect_2(k15_rlvect_2(A,B,D),A,C)))))))))) # label(t67_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7861 (all A all B (-v3_struct_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_rlvect_1(A) -> (all C (m2_rlvect_2(C,A,B) -> m1_rlvect_2(C,A))))) # label(dt_m2_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7862 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_subset_1(C,k1_numbers) -> (all D (m1_rlvect_2(D,A) -> r1_rlvect_2(A,k15_rlvect_2(A,B,k15_rlvect_2(A,C,D)),k15_rlvect_2(A,k4_real_1(B,C),D)))))))))) # label(t70_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7863 $T # label(t32_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7864 $T # label(d3_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7865 $T # label(t89_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7866 $T # label(t31_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7867 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> m2_relset_1(k22_rlvect_2(A),k2_zfmisc_1(k1_numbers,k18_rlvect_2(A)),k18_rlvect_2(A)) & v1_funct_2(k22_rlvect_2(A),k2_zfmisc_1(k1_numbers,k18_rlvect_2(A)),k18_rlvect_2(A)) & v1_funct_1(k22_rlvect_2(A)))) # label(dt_k22_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7868 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (all D (m2_finseq_1(D,u1_struct_0(A)) -> (k3_finseq_1(B) = k3_finseq_1(D) & (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (r2_hidden(E,k1_relat_1(B)) -> k4_rlvect_1(A,k4_finseq_4(k5_numbers,u1_struct_0(A),B,E),k4_finseq_4(k5_numbers,u1_struct_0(A),C,E)) = k1_funct_1(D,E)))) & k3_finseq_1(C) = k3_finseq_1(B) -> k9_rlvect_1(A,D) = k4_rlvect_1(A,k9_rlvect_1(A,B),k9_rlvect_1(A,C))))))))))) # label(t4_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7869 $T # label(t25_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7870 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_relset_1(C,u1_struct_0(A),k1_numbers) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & v1_funct_1(C) -> (all D (m2_finseq_1(D,u1_struct_0(A)) -> (D = k12_rlvect_2(A,B,C) <-> k3_finseq_1(D) = k3_finseq_1(B) & (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (r2_hidden(E,k1_relat_1(D)) -> k1_funct_1(D,E) = k3_rlvect_1(A,k4_finseq_4(k5_numbers,u1_struct_0(A),B,E),k8_funct_2(u1_struct_0(A),k1_numbers,C,k4_finseq_4(k5_numbers,u1_struct_0(A),B,E))))))))))))))) # label(d9_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7871 (all A all B (-v3_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) -> k7_rlvect_2(A,B) = k1_tarski(B))) # label(redefinition_k7_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7872 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> v3_rlvect_1(k23_rlvect_2(A)) & v5_rlvect_1(k23_rlvect_2(A)) & l2_rlvect_1(k23_rlvect_2(A)) & v7_rlvect_1(k23_rlvect_2(A)) & v6_rlvect_1(k23_rlvect_2(A)) & v4_rlvect_1(k23_rlvect_2(A)) & -v3_struct_0(k23_rlvect_2(A)))) # label(dt_k23_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7873 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlvect_2(B,A) -> k16_rlvect_2(A,B) = k5_rlvect_1(k23_rlvect_2(A),k1_rlvect_2(k23_rlvect_2(A),B)))))) # label(t98_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7874 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_subset_1(C,k1_numbers) -> (all D (m1_rlvect_2(D,A) -> r1_rlvect_2(A,k15_rlvect_2(A,k3_real_1(B,C),D),k14_rlvect_2(A,k15_rlvect_2(A,B,D),k15_rlvect_2(A,C,D))))))))))) # label(t68_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7875 $T # label(t56_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7876 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(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)) -> -(B != C & C != D & k4_rlvect_1(A,k4_rlvect_1(A,B,C),D) != k6_rlvect_2(A,k9_rlvect_2(A,B,C,D)) & D != B))))))))) # label(t17_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7877 (all A all B (v3_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & m1_rlvect_2(B,A) & l2_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> m1_rlvect_2(k16_rlvect_2(A,B),A))) # label(dt_k16_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7878 $T # label(t63_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7879 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v1_finset_1(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_finset_1(C) -> k6_rlvect_2(A,k5_rlvect_2(A,C,B)) = k6_rlvect_1(A,k6_rlvect_2(A,k2_rlvect_2(A,C,B)),k6_rlvect_2(A,k3_rlvect_2(A,C,B))))))))) # label(t23_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7880 (all A all B all C (-v3_struct_0(A) & l1_rlvect_1(A) & m1_rlvect_2(B,A) & m1_rlvect_2(C,A) -> (r1_rlvect_2(A,B,C) -> r1_rlvect_2(A,C,B)))) # label(symmetry_r1_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7881 (all A all B (-v3_struct_0(A) & m1_rlvect_2(B,A) & l1_rlvect_1(A) -> v1_finset_1(k10_rlvect_2(A,B)) & m1_subset_1(k10_rlvect_2(A,B),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k10_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7882 (all A all B all C all D (l1_struct_0(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & -v3_struct_0(A) -> k1_enumset1(B,C,D) = k9_rlvect_2(A,B,C,D))) # label(redefinition_k9_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7883 $T # label(t38_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7884 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (all D (v1_funct_2(D,k1_relat_1(B),k1_relat_1(B)) & m2_relset_1(D,k1_relat_1(B),k1_relat_1(B)) & v3_funct_2(D,k1_relat_1(B),k1_relat_1(B)) & v1_funct_1(D) -> (k3_finseq_1(B) = k3_finseq_1(C) & (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (r2_hidden(E,k1_relat_1(C)) -> k1_funct_1(C,E) = k1_funct_1(B,k1_funct_1(D,E))))) -> k9_rlvect_1(A,C) = k9_rlvect_1(A,B)))))))))) # label(t8_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7885 (all A (-v3_struct_0(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all 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))) -> (all D (m2_rlvect_2(D,A,B) -> (r1_tarski(B,C) -> m2_rlvect_2(D,A,C)))))))))) # label(t33_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7886 $T # label(t90_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7887 (all A (-v3_struct_0(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(C) -> k6_rlvect_2(A,k5_rlvect_2(A,C,B)) = k4_rlvect_1(A,k6_rlvect_2(A,k4_rlvect_2(A,C,B)),k6_rlvect_2(A,k4_rlvect_2(A,B,C))))))))) # label(t24_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7888 (all A all B all C (-v3_struct_0(A) & m1_rlvect_2(C,A) & m1_rlvect_2(B,A) & l1_rlvect_1(A) -> r1_rlvect_2(A,B,B))) # label(reflexivity_r1_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7889 $T # label(t2_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7890 (all A all B (m1_subset_1(B,u1_struct_0(A)) & l1_struct_0(A) & -v3_struct_0(A) -> m1_subset_1(k7_rlvect_2(A,B),k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(k7_rlvect_2(A,B)))) # label(dt_k7_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7891 $T # label(dt_k18_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7892 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> m2_rlvect_2(k11_rlvect_2(A),A,B))))) # label(t34_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7893 (all A all B (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_rlvect_1(A) & m1_rlvect_2(B,A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> m1_subset_1(k20_rlvect_2(A,B),k18_rlvect_2(A)))) # label(dt_k20_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7894 (all A (v3_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlvect_2(B,A) -> k15_rlvect_2(A,k1_real_1(np__1),B) = k16_rlvect_2(A,B))))) # label(d14_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7895 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_rlvect_2(B,A) -> (k1_xboole_0 = k10_rlvect_2(A,B) -> k13_rlvect_2(A,B) = k1_rlvect_1(A)))))) # label(t52_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7896 $T # label(t83_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7897 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_rlvect_2(C,A) -> (m2_rlvect_2(C,A,B) -> m2_rlvect_2(k16_rlvect_2(A,C),A,B)))))))) # label(t76_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7898 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlvect_2(C,A) -> k8_funct_2(u1_struct_0(A),k1_numbers,k16_rlvect_2(A,C),B) = k1_real_1(k8_funct_2(u1_struct_0(A),k1_numbers,C,B)))))))) # label(t73_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7899 (all A (v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlvect_2(C,A) -> (all D (m1_rlvect_2(D,A) -> k8_funct_2(u1_struct_0(A),k1_numbers,k17_rlvect_2(A,C,D),B) = k5_real_1(k8_funct_2(u1_struct_0(A),k1_numbers,C,B),k8_funct_2(u1_struct_0(A),k1_numbers,D,B)))))))))) # label(t79_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7900 (all A all B (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & m1_subset_1(B,k18_rlvect_2(A)) -> m1_rlvect_2(k19_rlvect_2(A,B),A))) # label(dt_k19_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7901 $T # label(d2_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7902 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(B) -> (all C (v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_xboole_0(C,B) -> k4_rlvect_1(A,k6_rlvect_2(A,C),k6_rlvect_2(A,B)) = k6_rlvect_2(A,k2_rlvect_2(A,C,B))))))))) # label(t18_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7903 (all A all B all C (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & m1_rlvect_2(C,A) & m1_rlvect_2(B,A) & l2_rlvect_1(A) & v7_rlvect_1(A) -> m1_rlvect_2(k17_rlvect_2(A,B,C),A))) # label(dt_k17_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7904 (all A (l1_struct_0(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k1_rlvect_2(A,B) = B)))) # label(t3_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7905 (all A all B all C (v1_finset_1(B) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_struct_0(A) -> k5_rlvect_2(A,B,C) = k5_rlvect_2(A,C,B))) # label(commutativity_k5_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7906 (all A all B all C (v1_finset_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(C) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_struct_0(A) -> B = k2_rlvect_2(A,B,B))) # label(idempotence_k2_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7907 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k6_rlvect_2(A,k2_rlvect_2(A,C,B)) = k6_rlvect_1(A,k4_rlvect_1(A,k6_rlvect_2(A,C),k6_rlvect_2(A,B)),k6_rlvect_2(A,k3_rlvect_2(A,C,B))))))))) # label(t19_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7908 (all A (-v3_struct_0(A) & l1_rlvect_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_rlvect_2(C,A) -> (m2_rlvect_2(C,A,B) <-> r1_tarski(k10_rlvect_2(A,C),B)))))))) # label(d8_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7909 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(B) & l1_struct_0(A) -> k5_rlvect_2(A,B,C) = k5_xboole_0(B,C))) # label(redefinition_k5_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7910 (all A all B all C (l1_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & -v3_struct_0(A) -> k8_rlvect_2(A,C,B) = k8_rlvect_2(A,B,C))) # label(commutativity_k8_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7911 (all A (v4_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (k3_finseq_1(C) = k3_finseq_1(B) & (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r2_hidden(D,k1_relat_1(B)) -> k1_funct_1(C,D) = k5_rlvect_1(A,k4_finseq_4(k5_numbers,u1_struct_0(A),B,D))))) -> k5_rlvect_1(A,k9_rlvect_1(A,B)) = k9_rlvect_1(A,C)))))))) # label(t6_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7912 $T # label(t37_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7913 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_rlvect_2(B,A) -> (all C (m1_rlvect_2(C,A) -> k14_rlvect_2(A,B,C) = k4_rlvect_1(k23_rlvect_2(A),k1_rlvect_2(k23_rlvect_2(A),B),k1_rlvect_2(k23_rlvect_2(A),C)))))))) # label(t96_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7914 (all A (-v3_struct_0(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_rlvect_2(B,A) -> k10_rlvect_2(A,k16_rlvect_2(A,B)) = k10_rlvect_2(A,B))))) # label(t75_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7915 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v1_funct_1(C) & m2_relset_1(C,u1_struct_0(A),k1_numbers) & v1_funct_2(C,u1_struct_0(A),k1_numbers) -> k12_finseq_1(u1_struct_0(A),k3_rlvect_1(A,B,k8_funct_2(u1_struct_0(A),k1_numbers,C,B))) = k12_rlvect_2(A,k12_finseq_1(u1_struct_0(A),B),C))))))) # label(t42_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7916 (all A all B all C (l1_rlvect_1(A) & m1_rlvect_2(B,A) & m1_rlvect_2(C,A) & -v3_struct_0(A) -> m1_rlvect_2(k14_rlvect_2(A,B,C),A))) # label(dt_k14_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7917 (all A (-v3_struct_0(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_rlvect_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (C = k13_rlvect_2(A,B) <-> (exists D (m2_finseq_1(D,u1_struct_0(A)) & C = k9_rlvect_1(A,k12_rlvect_2(A,D,B)) & k2_relat_1(D) = k10_rlvect_2(A,B) & v2_funct_1(D)))))))))) # label(d10_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7918 (all A all B all C (v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(B) & l1_struct_0(A) -> k2_rlvect_2(A,B,C) = k2_xboole_0(B,C))) # label(redefinition_k2_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7919 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_rlvect_2(C,A) -> (all D (m1_rlvect_2(D,A) -> (m2_rlvect_2(D,A,B) & m2_rlvect_2(C,A,B) -> m2_rlvect_2(k17_rlvect_2(A,C,D),A,B)))))))))) # label(t81_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7920 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(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 (v1_funct_1(E) & m2_relset_1(E,u1_struct_0(A),k1_numbers) & v1_funct_2(E,u1_struct_0(A),k1_numbers) -> k3_finseq_4(u1_struct_0(A),k3_rlvect_1(A,B,k8_funct_2(u1_struct_0(A),k1_numbers,E,B)),k3_rlvect_1(A,C,k8_funct_2(u1_struct_0(A),k1_numbers,E,C)),k3_rlvect_1(A,D,k8_funct_2(u1_struct_0(A),k1_numbers,E,D))) = k12_rlvect_2(A,k3_finseq_4(u1_struct_0(A),B,C,D),E))))))))))) # label(t44_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7921 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_rlvect_2(B,A) -> (all C (m1_rlvect_2(C,A) -> k6_rlvect_1(k23_rlvect_2(A),k1_rlvect_2(k23_rlvect_2(A),B),k1_rlvect_2(k23_rlvect_2(A),C)) = k17_rlvect_2(A,B,C))))))) # label(t99_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7922 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(B) -> (all C (v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k6_rlvect_2(A,k4_rlvect_2(A,C,B)) = k6_rlvect_1(A,k6_rlvect_2(A,k2_rlvect_2(A,C,B)),k6_rlvect_2(A,B)))))))) # label(t21_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7923 (all A all B all C (v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(C) & l1_struct_0(A) -> m1_subset_1(k5_rlvect_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(k5_rlvect_2(A,B,C)))) # label(dt_k5_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7924 (all A (l2_struct_0(A) & -v3_struct_0(A) -> (exists B m1_rlvect_2(B,A)))) # label(existence_m1_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7925 $T # label(t12_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7926 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(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_rlvect_2(D,A) -> (k8_rlvect_2(A,B,C) = k10_rlvect_2(A,D) -> k4_rlvect_1(A,k3_rlvect_1(A,B,k8_funct_2(u1_struct_0(A),k1_numbers,D,B)),k3_rlvect_1(A,C,k8_funct_2(u1_struct_0(A),k1_numbers,D,C))) = k13_rlvect_2(A,D) | B = C))))))))) # label(t54_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.63	7927 $T # label(t78_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7928 (all A all B (l1_struct_0(A) -> m1_subset_1(k1_rlvect_2(A,B),u1_struct_0(A)))) # label(dt_k1_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7929 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlvect_2(B,A) -> (all C (m1_rlvect_2(C,A) -> r1_tarski(k10_rlvect_2(A,k17_rlvect_2(A,B,C)),k2_rlvect_2(A,k10_rlvect_2(A,B),k10_rlvect_2(A,C))))))))) # label(t80_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7930 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> (all C (m1_subset_1(C,k2_realset2(A)) -> (k2_binop_1(k2_realset2(A),k2_realset2(A),k2_realset2(A),k3_realset2(A),B,C) = k4_realset2(A) -> k8_funct_2(k2_realset2(A),k2_realset2(A),k7_realset2(A),B) = C))))))) # label(t12_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7931 (all A (l3_vectsp_1(A) & v4_realset2(A) -> v1_funct_1(k7_realset2(A)) & m2_relset_1(k7_realset2(A),k2_realset2(A),k2_realset2(A)) & v1_funct_2(k7_realset2(A),k2_realset2(A),k2_realset2(A)))) # label(dt_k7_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7932 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> (all C (m1_subset_1(C,k2_realset2(A)) -> (all D (m1_subset_1(D,k2_realset2(A)) -> k1_funct_1(k5_realset2(A),k4_tarski(B,k1_funct_1(k5_realset2(A),k4_tarski(C,D)))) = k1_funct_1(k5_realset2(A),k4_tarski(k1_funct_1(k5_realset2(A),k4_tarski(B,C)),D)))))))))) # label(t23_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7933 (exists A (l1_rlvect_1(A) & v4_rlvect_1(A) & v2_realset2(A) & v1_realset2(A) & v3_rlvect_1(A) & v1_rlvect_1(A) & -v3_struct_0(A))) # label(rc1_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7934 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> k1_funct_1(k5_realset2(A),k4_tarski(k4_realset2(A),B)) = k4_realset2(A))))) # label(t18_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7935 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (m1_subset_1(B,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) -> (all C (m1_subset_1(C,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) -> (all D (m1_subset_1(D,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) -> k1_funct_1(k5_realset2(A),k4_tarski(B,k1_funct_1(k5_realset2(A),k4_tarski(C,D)))) = k1_funct_1(k5_realset2(A),k4_tarski(k1_funct_1(k5_realset2(A),k4_tarski(B,C)),D)))))))))) # label(t8_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7936 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))),k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) & m2_relset_1(B,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))),k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) -> (B = k8_realset2(A) <-> (all C (m1_subset_1(C,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) -> k6_realset2(A) = k1_funct_1(k5_realset2(A),k4_tarski(C,k8_funct_2(k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))),k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))),B,C)))))))))) # label(d15_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7937 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> (all C (m1_subset_1(C,k2_realset2(A)) -> k1_funct_1(k5_realset2(A),k4_tarski(C,B)) = k1_funct_1(k5_realset2(A),k4_tarski(B,C)))))))) # label(t24_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7938 (all A (v4_realset2(A) & l3_vectsp_1(A) -> m1_subset_1(k6_realset2(A),k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))))) # label(dt_k6_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7939 (all A (l1_struct_0(A) -> (v1_realset1(u1_struct_0(A)) <-> v3_realset2(A)))) # label(d5_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7940 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) -> (k6_realset2(A) = B <-> k1_realset2(k2_realset2(A),k3_realset2(A),k5_realset2(A),k4_realset2(A),B) = A))))) # label(d13_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7941 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> (B = k4_realset2(A) <-> (exists C (m3_realset1(C,k2_realset2(A),B) & (exists D (m1_subset_1(D,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),B))) & A = k1_realset2(k2_realset2(A),k3_realset2(A),C,B,D)))))))))) # label(d11_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7942 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> k1_funct_1(k5_realset2(A),k4_tarski(B,k4_realset2(A))) = k4_realset2(A))))) # label(t17_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7943 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> (all C (m1_subset_1(C,k2_realset2(A)) -> k1_funct_1(k7_realset2(A),k1_funct_1(k5_realset2(A),k4_tarski(B,C))) = k1_funct_1(k5_realset2(A),k4_tarski(B,k8_funct_2(k2_realset2(A),k2_realset2(A),k7_realset2(A),C))))))))) # label(t19_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7944 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) -> (exists C (k6_realset2(A) = k1_funct_1(k5_realset2(A),k4_tarski(B,C)) & k1_funct_1(k5_realset2(A),k4_tarski(C,B)) = k6_realset2(A) & m1_subset_1(C,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))))))))) # label(t11_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7945 (all A (l3_vectsp_1(A) -> ((exists B (-v1_realset1(B) & (exists C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(B,B),B) & (exists D (m1_subset_1(D,B) & (exists E ((exists F (m1_subset_1(F,k4_xboole_0(B,k5_realset1(B,D))) & A = k1_realset2(B,C,E,D,F) & v4_rlvect_1(g1_rlvect_1(B,C,D)) & v1_realset2(g1_rlvect_1(B,C,D)) & v2_realset2(g1_rlvect_1(B,C,D)) & l1_rlvect_1(g1_rlvect_1(B,C,D)) & (all G (-v1_xboole_0(G) -> (all H (v1_funct_1(H) & v1_funct_2(H,k2_zfmisc_1(G,G),G) & m2_relset_1(H,k2_zfmisc_1(G,G),G) -> (all I (m1_subset_1(I,G) -> (G = k4_xboole_0(B,k5_realset1(B,D)) & I = F & H = k4_realset1(B,D,E) -> -v3_struct_0(g1_rlvect_1(G,H,I)) & v3_rlvect_1(g1_rlvect_1(G,H,I)) & v4_rlvect_1(g1_rlvect_1(G,H,I)) & v1_realset2(g1_rlvect_1(G,H,I)) & v2_realset2(g1_rlvect_1(G,H,I)) & l1_rlvect_1(g1_rlvect_1(G,H,I))))))))) & (all G (m1_subset_1(G,B) -> (all H (m1_subset_1(H,B) -> (all I (m1_subset_1(I,B) -> k1_funct_1(C,k4_tarski(k1_funct_1(E,k4_tarski(G,H)),k1_funct_1(E,k4_tarski(G,I)))) = k1_funct_1(E,k4_tarski(G,k1_funct_1(C,k4_tarski(H,I)))) & k1_funct_1(E,k4_tarski(k1_funct_1(C,k4_tarski(G,H)),I)) = k1_funct_1(C,k4_tarski(k1_funct_1(E,k4_tarski(G,I)),k1_funct_1(E,k4_tarski(H,I)))))))))) & v3_rlvect_1(g1_rlvect_1(B,C,D)) & -v3_struct_0(g1_rlvect_1(B,C,D)))) & m3_realset1(E,B,D))))) & v1_funct_2(C,k2_zfmisc_1(B,B),B))))) <-> v4_realset2(A)))) # label(d8_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7946 (all A (l3_vectsp_1(A) & v4_realset2(A) -> m3_realset1(k5_realset2(A),k2_realset2(A),k4_realset2(A)))) # label(dt_k5_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7947 (exists A (v3_vectsp_1(A) & -v3_realset2(A) & l3_vectsp_1(A))) # label(rc3_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7948 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (m1_subset_1(B,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) -> B = k8_funct_2(k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))),k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))),k8_realset2(A),k8_funct_2(k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))),k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))),k8_realset2(A),B)))))) # label(t27_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7949 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> (all C (m1_subset_1(C,k2_realset2(A)) -> (all D (m1_subset_1(D,k2_realset2(A)) -> (k2_binop_1(k2_realset2(A),k2_realset2(A),k2_realset2(A),k3_realset2(A),B,C) = k2_binop_1(k2_realset2(A),k2_realset2(A),k2_realset2(A),k3_realset2(A),B,D) -> D = C))))))))) # label(t29_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7950 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) -> k1_funct_1(k5_realset2(A),k4_tarski(k6_realset2(A),B)) = B & k1_funct_1(k5_realset2(A),k4_tarski(B,k6_realset2(A))) = B)))) # label(t10_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7951 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> B = k2_binop_1(k2_realset2(A),k2_realset2(A),k2_realset2(A),k3_realset2(A),k4_realset2(A),B) & k2_binop_1(k2_realset2(A),k2_realset2(A),k2_realset2(A),k3_realset2(A),B,k4_realset2(A)) = B)))) # label(t6_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7952 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> k1_funct_1(k5_realset2(A),k4_tarski(B,k6_realset2(A))) = B & k1_funct_1(k5_realset2(A),k4_tarski(k6_realset2(A),B)) = B)))) # label(t25_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7953 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,k2_realset2(A),k2_realset2(A)) & v1_funct_2(B,k2_realset2(A),k2_realset2(A)) -> (B = k7_realset2(A) <-> (all C (m1_subset_1(C,k2_realset2(A)) -> k1_funct_1(k3_realset2(A),k4_tarski(C,k8_funct_2(k2_realset2(A),k2_realset2(A),B,C))) = k4_realset2(A)))))))) # label(d14_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7954 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (v4_rlvect_1(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_binop_1(u1_rlvect_1(A),k1_binop_1(u1_rlvect_1(A),B,C),D) = k1_binop_1(u1_rlvect_1(A),B,k1_binop_1(u1_rlvect_1(A),C,D))))))))))) # label(d3_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7955 (all A (l1_struct_0(A) -> (v3_realset2(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> C = B))))))) # label(d7_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7956 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> (all C (m1_subset_1(C,k2_realset2(A)) -> m1_subset_1(k1_funct_1(k5_realset2(A),k4_tarski(B,C)),k2_realset2(A)))))))) # label(t22_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7957 (all A (-v3_struct_0(A) & l1_rlvect_1(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_binop_1(u1_rlvect_1(A),C,B) = k1_binop_1(u1_rlvect_1(A),B,C))))) <-> v3_rlvect_1(A)))) # label(d4_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7958 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (-v1_realset1(B) -> (B = k2_realset2(A) <-> (exists C ((exists D (m1_subset_1(D,B) & (exists E (m3_realset1(E,B,D) & (exists F (A = k1_realset2(B,C,E,D,F) & m1_subset_1(F,k4_xboole_0(B,k5_realset1(B,D))))))))) & m2_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & v1_funct_1(C)))))))) # label(d9_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7959 (all A (v4_realset2(A) & l3_vectsp_1(A) -> v4_rlvect_1(g1_rlvect_1(k2_realset2(A),k3_realset2(A),k4_realset2(A))) & v1_realset2(g1_rlvect_1(k2_realset2(A),k3_realset2(A),k4_realset2(A))) & v2_realset2(g1_rlvect_1(k2_realset2(A),k3_realset2(A),k4_realset2(A))) & l1_rlvect_1(g1_rlvect_1(k2_realset2(A),k3_realset2(A),k4_realset2(A))) & v3_rlvect_1(g1_rlvect_1(k2_realset2(A),k3_realset2(A),k4_realset2(A))) & -v3_struct_0(g1_rlvect_1(k2_realset2(A),k3_realset2(A),k4_realset2(A))))) # label(t1_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7960 (all A (l3_vectsp_1(A) & v4_realset2(A) -> m1_subset_1(k4_realset2(A),k2_realset2(A)))) # label(dt_k4_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7961 (exists A (l3_vectsp_1(A) & v3_vectsp_1(A) & v4_realset2(A))) # label(rc4_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7962 (all A (-v1_realset1(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) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,k4_xboole_0(A,k5_realset1(A,D))) -> (all F (-v3_realset2(F) & l3_vectsp_1(F) & v3_vectsp_1(F) -> (F = k1_realset2(A,B,C,D,E) <-> u1_struct_0(F) = A & B = u1_rlvect_1(F) & u1_vectsp_1(F) = E & u2_struct_0(F) = D & C = u1_group_1(F)))))))))))))) # label(d6_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7963 (all A (l1_rlvect_1(A) -> (v2_realset2(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (exists C (u2_struct_0(A) = k1_binop_1(u1_rlvect_1(A),C,B) & u2_struct_0(A) = k1_binop_1(u1_rlvect_1(A),B,C) & m1_subset_1(C,u1_struct_0(A))))))))) # label(d2_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7964 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> (all C (m1_subset_1(C,k2_realset2(A)) -> k2_binop_1(k2_realset2(A),k2_realset2(A),k2_realset2(A),k3_realset2(A),B,C) = k2_binop_1(k2_realset2(A),k2_realset2(A),k2_realset2(A),k3_realset2(A),C,B))))))) # label(t5_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7965 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> B = k8_funct_2(k2_realset2(A),k2_realset2(A),k7_realset2(A),k8_funct_2(k2_realset2(A),k2_realset2(A),k7_realset2(A),B)))))) # label(t13_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7966 (all A (l3_vectsp_1(A) & v4_realset2(A) -> m2_relset_1(k3_realset2(A),k2_zfmisc_1(k2_realset2(A),k2_realset2(A)),k2_realset2(A)) & v1_funct_2(k3_realset2(A),k2_zfmisc_1(k2_realset2(A),k2_realset2(A)),k2_realset2(A)) & v1_funct_1(k3_realset2(A)))) # label(dt_k3_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7967 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> (all C (m1_subset_1(C,k2_realset2(A)) -> (all D (m1_subset_1(D,k2_realset2(A)) -> k2_binop_1(k2_realset2(A),k2_realset2(A),k2_realset2(A),k3_realset2(A),B,k2_binop_1(k2_realset2(A),k2_realset2(A),k2_realset2(A),k3_realset2(A),C,D)) = k2_binop_1(k2_realset2(A),k2_realset2(A),k2_realset2(A),k3_realset2(A),k2_binop_1(k2_realset2(A),k2_realset2(A),k2_realset2(A),k3_realset2(A),B,C),D))))))))) # label(t4_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7968 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> (all C (m1_subset_1(C,k2_realset2(A)) -> (all D (m1_subset_1(D,k2_realset2(A)) -> k1_funct_1(k3_realset2(A),k4_tarski(k1_funct_1(k5_realset2(A),k4_tarski(B,D)),k1_funct_1(k5_realset2(A),k4_tarski(C,D)))) = k1_funct_1(k5_realset2(A),k4_tarski(k1_funct_1(k3_realset2(A),k4_tarski(B,C)),D)) & k1_funct_1(k3_realset2(A),k4_tarski(k1_funct_1(k5_realset2(A),k4_tarski(B,C)),k1_funct_1(k5_realset2(A),k4_tarski(B,D)))) = k1_funct_1(k5_realset2(A),k4_tarski(B,k1_funct_1(k3_realset2(A),k4_tarski(C,D)))))))))))) # label(t3_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7969 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> (all C (m1_subset_1(C,k2_realset2(A)) -> m1_subset_1(k8_funct_2(k2_realset2(A),k2_realset2(A),k7_realset2(A),B),k2_realset2(A)) & m1_subset_1(k1_funct_1(k5_realset2(A),k4_tarski(B,C)),k2_realset2(A)) & m1_subset_1(k1_funct_1(k3_realset2(A),k4_tarski(B,C)),k2_realset2(A)))))))) # label(t14_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7970 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> (all C (m1_subset_1(C,k2_realset2(A)) -> (all D (m1_subset_1(D,k2_realset2(A)) -> k1_funct_1(k3_realset2(A),k4_tarski(k1_funct_1(k5_realset2(A),k4_tarski(B,D)),k1_funct_1(k7_realset2(A),k1_funct_1(k5_realset2(A),k4_tarski(C,D))))) = k1_funct_1(k5_realset2(A),k4_tarski(k1_funct_1(k3_realset2(A),k4_tarski(B,k8_funct_2(k2_realset2(A),k2_realset2(A),k7_realset2(A),C))),D)))))))))) # label(t16_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7971 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_2(C,k2_zfmisc_1(B,B),B) & m2_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_1(C) -> (all D (m1_subset_1(D,B) -> (k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))) = B & k6_realset2(A) = D & k4_realset1(k2_realset2(A),k4_realset2(A),k5_realset2(A)) = C -> v4_rlvect_1(g1_rlvect_1(B,C,D)) & v1_realset2(g1_rlvect_1(B,C,D)) & v2_realset2(g1_rlvect_1(B,C,D)) & l1_rlvect_1(g1_rlvect_1(B,C,D)) & v3_rlvect_1(g1_rlvect_1(B,C,D)) & -v3_struct_0(g1_rlvect_1(B,C,D))))))))))) # label(t2_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7972 (exists A (l1_struct_0(A) & v3_realset2(A))) # label(rc2_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7973 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (m2_relset_1(B,k2_zfmisc_1(k2_realset2(A),k2_realset2(A)),k2_realset2(A)) & v1_funct_2(B,k2_zfmisc_1(k2_realset2(A),k2_realset2(A)),k2_realset2(A)) & v1_funct_1(B) -> ((exists C (m1_subset_1(C,k2_realset2(A)) & (exists D ((exists E (k1_realset2(k2_realset2(A),B,D,C,E) = A & m1_subset_1(E,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),C))))) & m3_realset1(D,k2_realset2(A),C))))) <-> k3_realset2(A) = B))))) # label(d10_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7974 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> (all C (m1_subset_1(C,k2_realset2(A)) -> (all D (m1_subset_1(D,k2_realset2(A)) -> k1_funct_1(k3_realset2(A),k4_tarski(k1_funct_1(k5_realset2(A),k4_tarski(B,C)),k1_funct_1(k7_realset2(A),k1_funct_1(k5_realset2(A),k4_tarski(B,D))))) = k1_funct_1(k5_realset2(A),k4_tarski(B,k1_funct_1(k3_realset2(A),k4_tarski(C,k8_funct_2(k2_realset2(A),k2_realset2(A),k7_realset2(A),D))))))))))))) # label(t15_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7975 (all A (v4_realset2(A) & l3_vectsp_1(A) -> k4_realset2(A) = k1_funct_1(k5_realset2(A),k4_tarski(k4_realset2(A),k6_realset2(A))))) # label(t21_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7976 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (m1_subset_1(B,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) -> (all C (m1_subset_1(C,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) -> k1_funct_1(k5_realset2(A),k4_tarski(C,B)) = k1_funct_1(k5_realset2(A),k4_tarski(B,C)))))))) # label(t9_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7977 (all A (l1_rlvect_1(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> k1_binop_1(u1_rlvect_1(A),u2_struct_0(A),B) = B & k1_binop_1(u1_rlvect_1(A),B,u2_struct_0(A)) = B)) <-> v1_realset2(A)))) # label(d1_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7978 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) -> (all C (m1_subset_1(C,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) -> (k1_funct_1(k5_realset2(A),k4_tarski(B,C)) = k6_realset2(A) -> k8_funct_2(k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))),k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))),k8_realset2(A),B) = C))))))) # label(t26_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7979 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> (exists C (m1_subset_1(C,k2_realset2(A)) & k4_realset2(A) = k2_binop_1(k2_realset2(A),k2_realset2(A),k2_realset2(A),k3_realset2(A),C,B) & k4_realset2(A) = k2_binop_1(k2_realset2(A),k2_realset2(A),k2_realset2(A),k3_realset2(A),B,C))))))) # label(t7_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7980 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) -> (all C (m1_subset_1(C,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) -> m1_subset_1(k1_funct_1(k5_realset2(A),k4_tarski(B,C)),k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) & m1_subset_1(k8_funct_2(k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))),k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))),k8_realset2(A),B),k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))))))))) # label(t28_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7981 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) -> (all C (m1_subset_1(C,k2_realset2(A)) -> (all D (m1_subset_1(D,k2_realset2(A)) -> (k1_funct_1(k5_realset2(A),k4_tarski(B,C)) = k1_funct_1(k5_realset2(A),k4_tarski(B,D)) -> C = D))))))))) # label(t30_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7982 (all A all B all C all D all E (v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & m1_subset_1(D,A) & m1_subset_1(E,k4_xboole_0(A,k5_realset1(A,D))) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(B) & -v1_realset1(A) -> l3_vectsp_1(k1_realset2(A,B,C,D,E)) & -v3_realset2(k1_realset2(A,B,C,D,E)) & v3_vectsp_1(k1_realset2(A,B,C,D,E)))) # label(dt_k1_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7983 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m3_realset1(B,k2_realset2(A),k4_realset2(A)) -> (B = k5_realset2(A) <-> (exists C (m1_subset_1(C,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) & A = k1_realset2(k2_realset2(A),k3_realset2(A),B,k4_realset2(A),C)))))))) # label(d12_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7984 (all A (v4_realset2(A) & l3_vectsp_1(A) -> k4_realset2(A) = k1_funct_1(k5_realset2(A),k4_tarski(k6_realset2(A),k4_realset2(A))))) # label(t20_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7985 (all A (v4_realset2(A) & l3_vectsp_1(A) -> v1_funct_1(k8_realset2(A)) & v1_funct_2(k8_realset2(A),k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))),k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) & m2_relset_1(k8_realset2(A),k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))),k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))))) # label(dt_k8_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7986 (all A (l3_vectsp_1(A) & v4_realset2(A) -> -v1_realset1(k2_realset2(A)))) # label(dt_k2_realset2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7987 (all A (l1_metric_1(A) -> (v3_metric_1(u1_metric_1(A),u1_struct_0(A)) <-> v7_metric_1(A)))) # label(d8_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7988 (all A all B (m2_relset_1(B,k2_zfmisc_1(A,A),k1_numbers) & v1_funct_1(B) -> (v5_metric_1(B,A) <-> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> r1_xreal_0(k1_metric_1(A,A,B,C,E),k3_real_1(k1_metric_1(A,A,B,C,D),k1_metric_1(A,A,B,D,E)))))))))))) # label(d6_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7989 (exists A (v1_metric_1(A) & v7_metric_1(A) & v9_metric_1(A) & v8_metric_1(A) & v6_metric_1(A) & -v3_struct_0(A) & l1_metric_1(A))) # label(rc3_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7990 (all A all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_relset_1(B,k2_zfmisc_1(A,A),k1_numbers) -> (all C all D (g1_metric_1(C,D) = g1_metric_1(A,B) -> C = A & B = D)))) # label(free_g1_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7991 (exists A l1_metric_1(A)) # label(existence_l1_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7992 (all A all B all C (v8_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & l1_metric_1(A) -> m1_subset_1(k4_metric_1(A,B,C),k1_numbers))) # label(dt_k4_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7993 (all A (l1_metric_1(A) -> (v1_metric_1(A) -> g1_metric_1(u1_struct_0(A),u1_metric_1(A)) = A))) # label(abstractness_v1_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7994 (all A (v1_xreal_0(A) -> (all B (l1_metric_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (r2_hidden(D,k11_metric_1(B,C,A)) <-> k2_metric_1(B,C,D) = A & -v3_struct_0(B)))))))))) # label(t14_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7995 (all A (v1_xreal_0(A) -> (all B (l1_metric_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> r1_tarski(k9_metric_1(B,C,A),k10_metric_1(B,C,A)))))))) # label(t15_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7996 (all A all B (m2_relset_1(B,k2_zfmisc_1(A,A),k1_numbers) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & v1_funct_1(B) -> (B = k5_metric_1(A) <-> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> np__0 = k1_metric_1(A,A,B,C,C) & (C != D -> np__1 = k1_metric_1(A,A,B,C,D))))))))) # label(d11_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7997 (all A all B all C all D (m1_subset_1(D,u1_struct_0(C)) & l1_metric_1(C) & -v3_struct_0(C) & v1_xreal_0(B) -> (r2_hidden(A,a_3_0_metric_1(B,C,D)) <-> (exists E (m1_subset_1(E,u1_struct_0(C)) & A = E & -r1_xreal_0(B,k2_metric_1(C,D,E))))))) # label(fraenkel_a_3_0_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7998 (all A all B all C (l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> m1_subset_1(k2_metric_1(A,B,C),k1_numbers))) # label(dt_k2_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	7999 (all A (v1_xreal_0(A) -> (all B (-v3_struct_0(B) & l1_metric_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k9_metric_1(B,C,A) = a_3_0_metric_1(A,B,C))))))) # label(t18_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8000 (all A (v1_xreal_0(A) -> (all B (l1_metric_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> a_3_1_metric_1(A,B,C) = k10_metric_1(B,C,A))))))) # label(t19_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8001 (all A (l1_metric_1(A) -> (v8_metric_1(A) <-> v4_metric_1(u1_metric_1(A),u1_struct_0(A))))) # label(d9_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8002 (all A (v1_xreal_0(A) -> (all B (l1_metric_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k10_metric_1(B,C,A) = k4_subset_1(u1_struct_0(B),k11_metric_1(B,C,A),k9_metric_1(B,C,A)))))))) # label(t17_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8003 (all A all B all C all D (m1_subset_1(D,u1_struct_0(C)) & l1_metric_1(C) & -v3_struct_0(C) & v1_xreal_0(B) -> (r2_hidden(A,a_3_2_metric_1(B,C,D)) <-> (exists E (m1_subset_1(E,u1_struct_0(C)) & k2_metric_1(C,D,E) = B & E = A))))) # label(fraenkel_a_3_2_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8004 (all A all B all C (l1_metric_1(A) & v1_xreal_0(C) & m1_subset_1(B,u1_struct_0(A)) -> m1_subset_1(k10_metric_1(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k10_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8005 (all A (l1_metric_1(A) -> (v6_metric_1(A) <-> v2_metric_1(u1_metric_1(A),u1_struct_0(A))))) # label(d7_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8006 (all A all B (m2_relset_1(B,k2_zfmisc_1(A,A),k1_numbers) & v1_funct_1(B) -> (v3_metric_1(B,A) <-> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (k1_metric_1(A,A,B,C,D) = np__0 -> D = C)))))))) # label(d4_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8007 (all A all B all C (l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_xreal_0(C) -> m1_subset_1(k9_metric_1(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k9_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8008 (all A (l1_metric_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_metric_1(u1_struct_0(A),u1_struct_0(A),u1_metric_1(A),B,C) = k2_metric_1(A,B,C))))))) # label(d1_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8009 (all A all B all C all D all E (m1_subset_1(E,B) & m1_subset_1(D,A) & m1_relset_1(C,k2_zfmisc_1(A,B),k1_numbers) & v1_funct_1(C) -> m1_subset_1(k1_metric_1(A,B,C,D,E),k1_numbers))) # label(dt_k1_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8010 (all A all B (m2_relset_1(B,k2_zfmisc_1(A,A),k1_numbers) & v1_funct_1(B) -> ((all C (m1_subset_1(C,A) -> k1_metric_1(A,A,B,C,C) = np__0)) <-> v2_metric_1(B,A)))) # label(d3_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8011 (all A all B all C (l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_xreal_0(C) -> m1_subset_1(k11_metric_1(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k11_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8012 (all A g1_metric_1(A,k5_metric_1(A)) = k6_metric_1(A)) # label(d12_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8013 (all A (v1_xreal_0(A) -> (all B (l1_metric_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> r1_tarski(k11_metric_1(B,C,A),k10_metric_1(B,C,A)))))))) # label(t16_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8014 (all A (v6_metric_1(k6_metric_1(A)) & v7_metric_1(k6_metric_1(A)) & v9_metric_1(k6_metric_1(A)) & v8_metric_1(k6_metric_1(A)) & v1_metric_1(k6_metric_1(A)))) # label(fc2_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8015 (all A (m1_subset_1(A,k1_numbers) -> (all B (m1_subset_1(B,k1_numbers) -> k1_metric_1(k1_numbers,k1_numbers,k7_metric_1,B,A) = k1_metric_1(k1_numbers,k1_numbers,k7_metric_1,A,B))))) # label(t10_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8016 (all A (m1_subset_1(A,k1_numbers) -> (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_subset_1(C,k1_numbers) -> r1_xreal_0(k1_metric_1(k1_numbers,k1_numbers,k7_metric_1,A,B),k3_real_1(k1_metric_1(k1_numbers,k1_numbers,k7_metric_1,A,C),k1_metric_1(k1_numbers,k1_numbers,k7_metric_1,C,B))))))))) # label(t11_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8017 (all A (l1_metric_1(A) -> (v5_metric_1(u1_metric_1(A),u1_struct_0(A)) <-> v9_metric_1(A)))) # label(d10_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8018 (all A (v1_xreal_0(A) -> (all B (l1_metric_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (r1_xreal_0(k2_metric_1(B,C,D),A) & -v3_struct_0(B) <-> r2_hidden(D,k10_metric_1(B,C,A))))))))))) # label(t13_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8019 (exists A (l1_metric_1(A) & v1_metric_1(A))) # label(rc1_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8020 (all A (-v1_xboole_0(A) -> -v3_struct_0(k6_metric_1(A)) & v1_metric_1(k6_metric_1(A)))) # label(fc1_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8021 (all A all B all C (v8_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> k4_metric_1(A,B,C) = k4_metric_1(A,C,B))) # label(commutativity_k4_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8022 $T # label(t7_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8023 (all A (v1_metric_1(k6_metric_1(A)) & l1_metric_1(k6_metric_1(A)))) # label(dt_k6_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8024 (all A (m1_subset_1(A,k1_numbers) -> (all B (m1_subset_1(B,k1_numbers) -> (k1_metric_1(k1_numbers,k1_numbers,k7_metric_1,A,B) = np__0 <-> A = B))))) # label(t9_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8025 (all A all B all C all D all E (v1_funct_1(C) & m1_subset_1(E,B) & m1_subset_1(D,A) & m1_relset_1(C,k2_zfmisc_1(A,B),k1_numbers) -> k1_binop_1(C,D,E) = k1_metric_1(A,B,C,D,E))) # label(redefinition_k1_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8026 (all A all B all C all D (l1_metric_1(C) & m1_subset_1(D,u1_struct_0(C)) & -v3_struct_0(C) & v1_xreal_0(B) -> ((exists E (m1_subset_1(E,u1_struct_0(C)) & r1_xreal_0(k2_metric_1(C,D,E),B) & A = E)) <-> r2_hidden(A,a_3_1_metric_1(B,C,D))))) # label(fraenkel_a_3_1_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8027 $T # label(t8_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8028 (all A (l1_metric_1(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_metric_1(A,B,C) = k2_metric_1(A,C,B))))) <-> v8_metric_1(A)))) # label(t3_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8029 (all A (l1_metric_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v1_xreal_0(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (v3_struct_0(A) -> (v1_xboole_0(D) <-> D = k9_metric_1(A,B,C))) & (-v3_struct_0(A) -> ((exists E (-v3_struct_0(E) & l1_metric_1(E) & (exists F (B = F & a_3_0_metric_1(C,E,F) = D & A = E & m1_subset_1(F,u1_struct_0(E)))))) <-> D = k9_metric_1(A,B,C))))))))))) # label(d15_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8030 (all A (l1_metric_1(A) -> v1_funct_2(u1_metric_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers) & m2_relset_1(u1_metric_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers) & v1_funct_1(u1_metric_1(A)))) # label(dt_u1_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8031 (all A (v1_funct_2(A,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) & m2_relset_1(A,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) & v1_funct_1(A) -> ((all B (m1_subset_1(B,k1_numbers) -> (all C (m1_subset_1(C,k1_numbers) -> k18_complex1(k5_real_1(B,C)) = k1_metric_1(k1_numbers,k1_numbers,A,B,C))))) <-> k7_metric_1 = A))) # label(d13_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8032 (all A (l1_metric_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v1_xreal_0(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (v3_struct_0(A) -> (k10_metric_1(A,B,C) = D <-> v1_xboole_0(D))) & (-v3_struct_0(A) -> (D = k10_metric_1(A,B,C) <-> (exists E (-v3_struct_0(E) & (exists F (m1_subset_1(F,u1_struct_0(E)) & A = E & F = B & a_3_1_metric_1(C,E,F) = D)) & l1_metric_1(E))))))))))))) # label(d16_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8033 (all A (l1_metric_1(A) -> (v7_metric_1(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k2_metric_1(A,B,C) = np__0 -> C = B)))))))) # label(t2_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8034 (all A (v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> r1_xreal_0(np__0,k4_metric_1(A,B,C)))))))) # label(t5_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8035 (exists A (-v3_struct_0(A) & v1_metric_1(A) & l1_metric_1(A))) # label(rc2_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8036 (all A (l1_metric_1(A) -> (v6_metric_1(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> np__0 = k2_metric_1(A,B,B)))))) # label(t1_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8037 (all A (v1_xreal_0(A) -> (all B (l1_metric_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (-v3_struct_0(B) & -r1_xreal_0(A,k2_metric_1(B,C,D)) <-> r2_hidden(D,k9_metric_1(B,C,A))))))))))) # label(t12_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8038 (all A all B all C (v8_metric_1(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l1_metric_1(A) -> k2_metric_1(A,B,C) = k4_metric_1(A,B,C))) # label(redefinition_k4_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8039 (all A all B (m1_relset_1(B,k2_zfmisc_1(A,A),k1_numbers) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & v1_funct_1(B) -> l1_metric_1(g1_metric_1(A,B)) & v1_metric_1(g1_metric_1(A,B)))) # label(dt_g1_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8040 (all A (v1_funct_1(k5_metric_1(A)) & m2_relset_1(k5_metric_1(A),k2_zfmisc_1(A,A),k1_numbers) & v1_funct_2(k5_metric_1(A),k2_zfmisc_1(A,A),k1_numbers))) # label(dt_k5_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8041 (all A all B (v1_funct_1(B) & m2_relset_1(B,k2_zfmisc_1(A,A),k1_numbers) -> (v4_metric_1(B,A) <-> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> k1_metric_1(A,A,B,D,C) = k1_metric_1(A,A,B,C,D)))))))) # label(d5_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.64	8042 (all A (l1_metric_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v1_xreal_0(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (-v3_struct_0(A) -> ((exists E (-v3_struct_0(E) & l1_metric_1(E) & (exists F (F = B & D = a_3_2_metric_1(C,E,F) & E = A & m1_subset_1(F,u1_struct_0(E)))))) <-> k11_metric_1(A,B,C) = D)) & (v3_struct_0(A) -> (v1_xboole_0(D) <-> k11_metric_1(A,B,C) = D)))))))))) # label(d17_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8043 (all A (l1_metric_1(A) -> (v9_metric_1(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_xreal_0(k2_metric_1(A,B,D),k3_real_1(k2_metric_1(A,B,C),k2_metric_1(A,C,D)))))))))))) # label(t4_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8044 (all A (l1_metric_1(A) -> l1_struct_0(A))) # label(dt_l1_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8045 (all A (v1_xreal_0(A) -> (all B (l1_metric_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> a_3_2_metric_1(A,B,C) = k11_metric_1(B,C,A))))))) # label(t20_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8046 (all A (l1_metric_1(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_metric_1(A,B,C) = np__0 -> C = B) & r1_xreal_0(k2_metric_1(A,B,D),k3_real_1(k2_metric_1(A,B,C),k2_metric_1(A,C,D))) & k2_metric_1(A,B,C) = k2_metric_1(A,C,B) & (C = B -> k2_metric_1(A,B,C) = np__0))))))) -> v9_metric_1(A) & l1_metric_1(A) & v8_metric_1(A) & v7_metric_1(A) & v6_metric_1(A)))) # label(t6_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8047 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (l1_cat_1(D) & v2_cat_1(D) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,C,D) -> (all G (m1_subset_1(G,u1_cat_1(A)) -> (all H (m1_subset_1(H,u1_cat_1(C)) -> k8_funct_2(u1_cat_1(k11_cat_2(A,C)),u1_cat_1(k11_cat_2(B,D)),k12_cat_1(k11_cat_2(A,C),k11_cat_2(B,D),k19_cat_2(A,C,B,D,E,F)),k12_cat_2(A,C,G,H)) = k12_cat_2(B,D,k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,E),G),k8_funct_2(u1_cat_1(C),u1_cat_1(D),k12_cat_1(C,D,F),H)))))))))))))))))) # label(t66_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8048 (all A all B (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) -> m1_cat_2(k7_cat_2(A,B),A,B))) # label(dt_k7_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8049 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(k11_cat_2(A,B))) -> (exists D ((exists E (m1_subset_1(E,u1_cat_1(B)) & k12_cat_2(A,B,D,E) = C)) & m1_subset_1(D,u1_cat_1(A)))))))))) # label(t35_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8050 (all A all B all C (v2_cat_1(A) & l1_cat_1(A) & m1_cat_2(C,A,B) & l1_cat_1(B) & v2_cat_1(B) -> (exists D m2_cat_2(D,A,B,C)))) # label(existence_m2_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8051 (all A all B all C all D all E all F (-v1_xboole_0(A) & -v1_xboole_0(B) & -v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,A,C) & v1_funct_2(F,B,D) & m1_relset_1(F,B,D) & v1_funct_1(F) & m1_relset_1(E,A,C) & -v1_xboole_0(C) -> k15_funct_3(E,F) = k9_cat_2(A,B,C,D,E,F))) # label(redefinition_k9_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8052 (all A all B all C all D all E all F (-v1_xboole_0(A) & m1_subset_1(F,A) & m1_relset_1(E,A,D) & v1_funct_2(E,A,D) & v1_funct_1(E) & m1_fraenkel(D,B,C) & -v1_xboole_0(C) -> m2_fraenkel(k1_cat_2(A,B,C,D,E,F),B,C,D))) # label(dt_k1_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8053 (all A all B all C all D all E (l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & m2_cat_1(D,k11_cat_2(A,B),C) & m1_subset_1(E,u1_cat_1(A)) & l1_cat_1(C) & v2_cat_1(A) -> m2_cat_1(k14_cat_2(A,B,C,D,E),B,C))) # label(dt_k14_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8054 (all A all B all C all D all E (v2_cat_1(A) & v2_cat_1(B) & m1_subset_1(E,u1_cat_1(B)) & m2_cat_1(D,k11_cat_2(A,B),C) & l1_cat_1(C) & v2_cat_1(C) & l1_cat_1(B) & l1_cat_1(A) -> m2_cat_1(k15_cat_2(A,B,C,D,E),A,C))) # label(dt_k15_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8055 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (all E (m1_subset_1(E,u2_cat_1(B)) -> (all F (m1_subset_1(F,u2_cat_1(B)) -> (k2_cat_1(B,F) = k3_cat_1(B,E) & k2_cat_1(A,D) = k3_cat_1(A,C) -> k4_cat_1(k11_cat_2(A,B),k13_cat_2(A,B,C,E),k13_cat_2(A,B,D,F)) = k13_cat_2(A,B,k4_cat_1(A,C,D),k4_cat_1(B,E,F))))))))))))))) # label(t39_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8056 (all A all B all C all D (v2_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m1_subset_1(C,u1_cat_1(A)) & m1_subset_1(D,u1_cat_1(B)) & l1_cat_1(A) -> m1_subset_1(k12_cat_2(A,B,C,D),u1_cat_1(k11_cat_2(A,B))))) # label(dt_k12_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8057 (all A all B all C (l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m1_cat_2(C,A,B) & v2_cat_1(A) -> (all D (m2_cat_2(D,A,B,C) -> m2_cat_1(D,A,B))))) # label(dt_m2_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8058 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> k4_cat_2(A,B,C) = k10_pboole(u2_cat_1(A),k10_cat_1(B,C)))))))) # label(d1_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8059 (all A all B all C all D all E all F (v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & m1_cat_2(D,B,C) & v1_funct_1(E) & v1_funct_2(E,A,D) & m1_relset_1(E,A,D) & m1_subset_1(F,A) & l1_cat_1(C) & -v1_xboole_0(A) -> k1_funct_1(E,F) = k6_cat_2(A,B,C,D,E,F))) # label(redefinition_k6_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8060 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m3_cat_2(B,A) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> (all G (m1_cat_1(G,B,C,D) -> (C = E & D = F -> m1_cat_1(G,A,E,F) | k6_cat_1(B,C,D) = k1_xboole_0))))))))))))))) # label(t16_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8061 (all A all B all C all D (v2_cat_1(A) & l1_cat_1(A) & m1_subset_1(C,u2_cat_1(A)) & m1_subset_1(D,u2_cat_1(B)) & l1_cat_1(B) & v2_cat_1(B) -> k4_tarski(C,D) = k13_cat_2(A,B,C,D))) # label(redefinition_k13_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8062 (all A all B all C all D all E all F (-v1_xboole_0(C) & v1_funct_2(E,A,C) & v1_funct_2(F,B,D) & m1_relset_1(F,B,D) & v1_funct_1(F) & m1_relset_1(E,A,C) & v1_funct_1(E) & -v1_xboole_0(D) & -v1_xboole_0(B) & -v1_xboole_0(A) -> v1_funct_2(k9_cat_2(A,B,C,D,E,F),k2_zfmisc_1(A,B),k2_zfmisc_1(C,D)) & m2_relset_1(k9_cat_2(A,B,C,D,E,F),k2_zfmisc_1(A,B),k2_zfmisc_1(C,D)) & v1_funct_1(k9_cat_2(A,B,C,D,E,F)))) # label(dt_k9_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8063 $T # label(t10_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8064 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m3_cat_2(B,A) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> m1_subset_1(C,u1_cat_1(A)))))))) # label(t12_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8065 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(B)) -> D = k8_funct_2(u2_cat_1(k11_cat_2(A,B)),u2_cat_1(B),k17_cat_2(A,B),k13_cat_2(A,B,C,D)))))))))) # label(t60_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8066 (all A (v2_cat_1(A) & l1_cat_1(A) -> (exists B (v1_cat_1(B) & v2_cat_1(B) & m3_cat_2(B,A))))) # label(rc1_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8067 (all A all B (l1_cat_1(A) & m3_cat_2(B,A) & v2_cat_1(A) -> m2_cat_1(k8_cat_2(A,B),B,A))) # label(dt_k8_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8068 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(B)) -> C = k8_funct_2(u2_cat_1(k11_cat_2(A,B)),u2_cat_1(A),k16_cat_2(A,B),k13_cat_2(A,B,C,D)))))))))) # label(t58_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8069 (all A all B (v2_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & l1_cat_1(A) -> m2_cat_1(k17_cat_2(A,B),k11_cat_2(A,B),B))) # label(dt_k17_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8070 (all A all B all C all D all E all F (-v1_xboole_0(A) & v2_cat_1(B) & l1_cat_1(B) & v1_funct_1(E) & m1_subset_1(F,A) & m1_relset_1(E,A,D) & v1_funct_2(E,A,D) & m1_cat_2(D,B,C) & l1_cat_1(C) & v2_cat_1(C) -> m2_cat_2(k6_cat_2(A,B,C,D,E,F),B,C,D))) # label(dt_k6_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8071 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,u1_cat_1(A),k7_cat_2(B,C)) & v1_funct_2(D,u1_cat_1(A),k7_cat_2(B,C)) -> (all E (m2_relset_1(E,u1_cat_1(B),k7_cat_2(A,C)) & v1_funct_2(E,u1_cat_1(B),k7_cat_2(A,C)) & v1_funct_1(E) -> -((all F (m1_subset_1(F,u1_cat_1(A)) -> (all G (m1_subset_1(G,u1_cat_1(B)) -> k8_funct_2(u2_cat_1(B),u2_cat_1(C),k6_cat_2(u1_cat_1(A),B,C,k7_cat_2(B,C),D,F),k10_cat_1(B,G)) = k8_funct_2(u2_cat_1(A),u2_cat_1(C),k6_cat_2(u1_cat_1(B),A,C,k7_cat_2(A,C),E,G),k10_cat_1(A,F)))))) & (all F (m1_subset_1(F,u2_cat_1(B)) -> (all G (m1_subset_1(G,u2_cat_1(A)) -> k4_cat_1(C,k8_funct_2(u2_cat_1(B),u2_cat_1(C),k6_cat_2(u1_cat_1(A),B,C,k7_cat_2(B,C),D,k2_cat_1(A,G)),F),k8_funct_2(u2_cat_1(A),u2_cat_1(C),k6_cat_2(u1_cat_1(B),A,C,k7_cat_2(A,C),E,k3_cat_1(B,F)),G)) = k4_cat_1(C,k8_funct_2(u2_cat_1(A),u2_cat_1(C),k6_cat_2(u1_cat_1(B),A,C,k7_cat_2(A,C),E,k2_cat_1(B,F)),G),k8_funct_2(u2_cat_1(B),u2_cat_1(C),k6_cat_2(u1_cat_1(A),B,C,k7_cat_2(B,C),D,k3_cat_1(A,G)),F)))))) & (all F (m2_cat_1(F,k11_cat_2(B,A),C) -> -(all G (m1_subset_1(G,u2_cat_1(B)) -> (all H (m1_subset_1(H,u2_cat_1(A)) -> k8_funct_2(u2_cat_1(k11_cat_2(B,A)),u2_cat_1(C),F,k13_cat_2(B,A,G,H)) = k4_cat_1(C,k8_funct_2(u2_cat_1(A),u2_cat_1(C),k6_cat_2(u1_cat_1(B),A,C,k7_cat_2(A,C),E,k2_cat_1(B,G)),H),k8_funct_2(u2_cat_1(B),u2_cat_1(C),k6_cat_2(u1_cat_1(A),B,C,k7_cat_2(B,C),D,k3_cat_1(A,H)),G))))))))))))))))))) # label(t52_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8072 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u2_cat_1(k11_cat_2(A,B))) -> (exists D (m1_subset_1(D,u2_cat_1(A)) & (exists E (m1_subset_1(E,u2_cat_1(B)) & C = k13_cat_2(A,B,D,E))))))))))) # label(t37_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8073 (all A all B all C all D all E all F (l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & l1_cat_1(D) & m2_cat_1(F,B,D) & m2_cat_1(E,A,C) & v2_cat_1(D) & l1_cat_1(C) & v2_cat_1(C) & v2_cat_1(A) -> k19_cat_2(A,B,C,D,E,F) = k15_funct_3(E,F))) # label(redefinition_k19_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8074 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,B) -> (all F (v1_funct_1(F) & m2_relset_1(F,k2_zfmisc_1(A,B),C) & v1_funct_2(F,k2_zfmisc_1(A,B),C) -> k8_funct_2(B,C,k1_cat_2(A,B,C,k1_fraenkel(B,C),k2_cat_2(A,B,C,F),D),E) = k8_funct_2(k2_zfmisc_1(A,B),C,F,k1_domain_1(A,B,D,E)))))))))))))) # label(t3_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8075 (all A all B all C all D (-v1_xboole_0(A) & -v1_xboole_0(C) & m1_relset_1(D,k2_zfmisc_1(A,B),C) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & v1_funct_1(D) & -v1_xboole_0(B) -> v1_funct_2(k2_cat_2(A,B,C,D),A,k1_fraenkel(B,C)) & m2_relset_1(k2_cat_2(A,B,C,D),A,k1_fraenkel(B,C)) & v1_funct_1(k2_cat_2(A,B,C,D)))) # label(dt_k2_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8076 (all A all B all C all D all E all F (v2_cat_1(C) & l1_cat_1(C) & v2_cat_1(D) & m2_cat_1(F,B,D) & m2_cat_1(E,A,C) & l1_cat_1(D) & l1_cat_1(B) & v2_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> m2_cat_1(k19_cat_2(A,B,C,D,E,F),k11_cat_2(A,B),k11_cat_2(C,D)))) # label(dt_k19_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8077 (all A all B all C all D (-v1_xboole_0(A) & -v1_xboole_0(B) & -v1_xboole_0(C) & m1_relset_1(D,k2_zfmisc_1(A,B),C) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & v1_funct_1(D) -> m2_relset_1(k3_cat_2(A,B,C,D),B,k1_fraenkel(A,C)) & v1_funct_2(k3_cat_2(A,B,C,D),B,k1_fraenkel(A,C)) & v1_funct_1(k3_cat_2(A,B,C,D)))) # label(dt_k3_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8078 (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) -> v1_funct_2(k3_funct_5(D),A,k1_fraenkel(B,C)) & m2_relset_1(k3_funct_5(D),A,k1_fraenkel(B,C)) & v1_funct_1(k3_funct_5(D)))))))))) # label(t1_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8079 (all A all B all C all D all E (l1_cat_1(A) & l1_cat_1(C) & m2_cat_1(D,A,B) & m2_cat_1(E,A,C) & v2_cat_1(C) & l1_cat_1(B) & v2_cat_1(B) & v2_cat_1(A) -> m2_cat_1(k18_cat_2(A,B,C,D,E),A,k11_cat_2(B,C)))) # label(dt_k18_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8080 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) & -v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,C,B) & m2_relset_1(D,C,B) -> (all E (v1_funct_2(E,C,B) & m2_relset_1(E,C,B) & v1_funct_1(E) -> (all F (v1_funct_1(F) & m2_relset_1(F,k2_zfmisc_1(C,C),C) -> (all G (v1_funct_1(G) & v1_funct_2(G,B,C) & m2_relset_1(G,B,C) -> (C = k3_tarski(a_2_0_cat_2(A,B)) & k2_partfun1(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),C) = E & k2_partfun1(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B) = G & k1_realset1(u5_cat_1(A),C) = F & D = k2_partfun1(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),C) -> r1_cat_2(g1_cat_1(B,C,D,E,F,G),A)))))))))))))))) # label(t30_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8081 (all A all B all C all D all E (v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(E,A,C) & m2_cat_1(D,A,B) & l1_cat_1(C) & v2_cat_1(C) & l1_cat_1(A) & v2_cat_1(A) -> k18_cat_2(A,B,C,D,E) = k13_funct_3(D,E))) # label(redefinition_k18_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8082 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_subset_1(F,u1_cat_1(B)) -> k8_funct_2(u1_cat_1(A),u1_cat_1(C),k12_cat_1(A,C,k15_cat_2(A,B,C,D,F)),E) = k8_funct_2(u1_cat_1(k11_cat_2(A,B)),u1_cat_1(C),k12_cat_1(k11_cat_2(A,B),C,D),k12_cat_2(A,B,E,F)))))))))))))) # label(t51_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8083 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> (all F (m1_subset_1(F,u2_cat_1(A)) -> k8_funct_2(u2_cat_1(k11_cat_2(A,B)),u2_cat_1(C),D,k13_cat_2(A,B,F,k10_cat_1(B,E))) = k8_funct_2(u2_cat_1(A),u2_cat_1(C),k15_cat_2(A,B,C,D,E),F))))))))))))) # label(t50_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8084 (all A all B (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) -> k5_cat_2(A,B) = k7_cat_2(A,B))) # label(redefinition_k7_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8085 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,u1_cat_1(A),k7_cat_2(B,C)) & m2_relset_1(D,u1_cat_1(A),k7_cat_2(B,C)) -> (all E (v1_funct_1(E) & v1_funct_2(E,u1_cat_1(B),k7_cat_2(A,C)) & m2_relset_1(E,u1_cat_1(B),k7_cat_2(A,C)) -> ((exists F (m2_cat_1(F,k11_cat_2(B,A),C) & (all G (m1_subset_1(G,u1_cat_1(A)) -> (all H (m1_subset_1(H,u1_cat_1(B)) -> k15_cat_2(B,A,C,F,G) = k6_cat_2(u1_cat_1(A),B,C,k7_cat_2(B,C),D,G) & k6_cat_2(u1_cat_1(B),A,C,k7_cat_2(A,C),E,H) = k14_cat_2(B,A,C,F,H))))))) -> (all F (m1_subset_1(F,u2_cat_1(B)) -> (all G (m1_subset_1(G,u2_cat_1(A)) -> k4_cat_1(C,k8_funct_2(u2_cat_1(B),u2_cat_1(C),k6_cat_2(u1_cat_1(A),B,C,k7_cat_2(B,C),D,k2_cat_1(A,G)),F),k8_funct_2(u2_cat_1(A),u2_cat_1(C),k6_cat_2(u1_cat_1(B),A,C,k7_cat_2(A,C),E,k3_cat_1(B,F)),G)) = k4_cat_1(C,k8_funct_2(u2_cat_1(A),u2_cat_1(C),k6_cat_2(u1_cat_1(B),A,C,k7_cat_2(A,C),E,k2_cat_1(B,F)),G),k8_funct_2(u2_cat_1(B),u2_cat_1(C),k6_cat_2(u1_cat_1(A),B,C,k7_cat_2(B,C),D,k3_cat_1(A,G)),F))))))))))))))))) # label(t53_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8086 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> m2_cat_1(k9_funct_3(u2_cat_1(A),u2_cat_1(B)),k11_cat_2(A,B),A))))) # label(t54_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8087 (all A all B all C all D (-v1_xboole_0(A) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_relset_1(D,k2_zfmisc_1(A,B),C) & v1_funct_1(D) & -v1_xboole_0(C) & -v1_xboole_0(B) -> k3_cat_2(A,B,C,D) = k5_funct_5(D))) # label(redefinition_k3_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8088 $T # label(t5_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8089 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> k2_zfmisc_1(u2_cat_1(A),u2_cat_1(B)) = u2_cat_1(k11_cat_2(A,B)) & u3_cat_1(k11_cat_2(A,B)) = k9_cat_2(u2_cat_1(A),u2_cat_1(B),u1_cat_1(A),u1_cat_1(B),u3_cat_1(A),u3_cat_1(B)) & u4_cat_1(k11_cat_2(A,B)) = k9_cat_2(u2_cat_1(A),u2_cat_1(B),u1_cat_1(A),u1_cat_1(B),u4_cat_1(A),u4_cat_1(B)) & u6_cat_1(k11_cat_2(A,B)) = k9_cat_2(u1_cat_1(A),u1_cat_1(B),u2_cat_1(A),u2_cat_1(B),u6_cat_1(A),u6_cat_1(B)) & u5_cat_1(k11_cat_2(A,B)) = k10_cat_2(u2_cat_1(A),u2_cat_1(B),u5_cat_1(A),u5_cat_1(B)) & u1_cat_1(k11_cat_2(A,B)) = k2_zfmisc_1(u1_cat_1(A),u1_cat_1(B)))))) # label(t33_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8090 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m3_cat_2(B,A) -> ((all C (m1_subset_1(C,u1_cat_1(B)) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> (C = E & D = F -> k6_cat_1(B,C,D) = k6_cat_1(A,E,F)))))))))) <-> v9_cat_1(k8_cat_2(A,B),B,A)))))) # label(t25_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8091 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> C = k8_funct_2(u1_cat_1(B),u1_cat_1(A),k12_cat_1(B,A,k4_cat_2(B,A,C)),D))))))))) # label(t7_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8092 (all A all B (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) -> -v1_xboole_0(k5_cat_2(A,B)))) # label(fc1_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8093 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> m1_subset_1(k1_domain_1(u1_cat_1(A),u1_cat_1(B),C,D),u1_cat_1(k11_cat_2(A,B))))))))))) # label(t34_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8094 $T # label(dt_k5_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8095 (all A all B all C (m1_subset_1(C,u1_cat_1(B)) & l1_cat_1(B) & v2_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> m2_cat_1(k4_cat_2(A,B,C),A,B))) # label(dt_k4_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8096 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> k10_cat_1(k11_cat_2(A,B),k12_cat_2(A,B,C,D)) = k13_cat_2(A,B,k10_cat_1(A,C),k10_cat_1(B,D)))))))))) # label(t41_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8097 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_subset_1(F,u1_cat_1(B)) -> k8_funct_2(u1_cat_1(B),u1_cat_1(C),k12_cat_1(B,C,k14_cat_2(A,B,C,D,E)),F) = k8_funct_2(u1_cat_1(k11_cat_2(A,B)),u1_cat_1(C),k12_cat_1(k11_cat_2(A,B),C,D),k12_cat_2(A,B,E,F)))))))))))))) # label(t48_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8098 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> k16_cat_2(A,B) = k9_funct_3(u2_cat_1(A),u2_cat_1(B)))))) # label(d10_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8099 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(B)) -> k10_cat_1(A,C) = k8_funct_2(u2_cat_1(B),u2_cat_1(A),k4_cat_2(B,A,C),D))))))))) # label(t6_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8100 (all A all B all C all D (v1_funct_1(D) & m1_relset_1(D,k2_zfmisc_1(A,B),C) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & -v1_xboole_0(C) & -v1_xboole_0(B) & -v1_xboole_0(A) -> k3_funct_5(D) = k2_cat_2(A,B,C,D))) # label(redefinition_k2_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8101 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> k1_funct_1(k3_funct_5(D),k10_cat_1(A,E)) = k14_cat_2(A,B,C,D,E))))))))))) # label(d8_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8102 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m3_cat_2(B,A) -> k15_cat_1(B) = k8_cat_2(A,B))))) # label(d5_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8103 $T # label(t46_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8104 (all A (v2_cat_1(A) & l1_cat_1(A) -> (exists B m3_cat_2(B,A)))) # label(existence_m3_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8105 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m3_cat_2(B,A) -> (all C (m1_subset_1(C,u2_cat_1(B)) -> C = k8_funct_2(u2_cat_1(B),u2_cat_1(A),k8_cat_2(A,B),C))))))) # label(t21_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8106 (all A all B (l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(A) -> m2_cat_1(k16_cat_2(A,B),k11_cat_2(A,B),A))) # label(dt_k16_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8107 $T # label(t11_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8108 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> m2_cat_1(k10_funct_3(u2_cat_1(A),u2_cat_1(B)),k11_cat_2(A,B),B))))) # label(t55_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8109 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> D = k8_funct_2(u1_cat_1(k11_cat_2(A,B)),u1_cat_1(B),k12_cat_1(k11_cat_2(A,B),B,k17_cat_2(A,B)),k12_cat_2(A,B,C,D)))))))))) # label(t61_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8110 $T # label(t56_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8111 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> (all F (m1_subset_1(F,u1_cat_1(B)) -> k2_zfmisc_1(k6_cat_1(A,C,D),k6_cat_1(B,E,F)) = k6_cat_1(k11_cat_2(A,B),k12_cat_2(A,B,C,E),k12_cat_2(A,B,D,F)))))))))))))) # label(t42_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8112 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) -> (all C (-v1_xboole_0(C) -> (k3_tarski(a_2_0_cat_2(A,B)) = C -> v1_funct_2(k2_partfun1(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),C),C,B) & m2_relset_1(k2_partfun1(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),C),C,B) & v1_funct_1(k2_partfun1(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),C)) & v1_funct_2(k2_partfun1(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B),B,C) & m2_relset_1(k2_partfun1(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B),B,C) & v1_funct_1(k2_partfun1(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B)) & m2_relset_1(k1_realset1(u5_cat_1(A),C),k2_zfmisc_1(C,C),C) & v1_funct_1(k1_realset1(u5_cat_1(A),C)) & m2_relset_1(k2_partfun1(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),C),C,B) & v1_funct_2(k2_partfun1(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),C),C,B) & v1_funct_1(k2_partfun1(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),C))))))))) # label(t29_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8113 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_cat_1(E,A,C,D) -> (all F (m1_subset_1(F,u1_cat_1(B)) -> (all G (m1_subset_1(G,u1_cat_1(B)) -> (all H (m1_cat_1(H,B,F,G) -> -(k6_cat_1(A,C,D) != k1_xboole_0 & k1_xboole_0 != k6_cat_1(B,F,G) & -m1_cat_1(k13_cat_2(A,B,E,H),k11_cat_2(A,B),k12_cat_2(A,B,C,F),k12_cat_2(A,B,D,G))))))))))))))))))) # label(t43_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8114 (all A all B (v2_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & l1_cat_1(A) -> (all C (m1_cat_2(C,A,B) -> -v1_xboole_0(C))))) # label(dt_m1_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8115 (all A (l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (r1_cat_2(A,B) <-> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> (all F (m1_subset_1(F,u1_cat_1(B)) -> (E = C & F = D -> k6_cat_1(B,E,F) = k6_cat_1(A,C,D)))))))))) & m3_cat_2(A,B)))))) # label(d6_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8116 (all A all B (v2_cat_1(B) & l1_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> (exists C m1_cat_2(C,A,B)))) # label(existence_m1_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8117 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> m2_cat_1(k1_funct_1(k5_funct_5(D),k10_cat_1(B,E)),A,C))))))))))) # label(t45_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8118 (all A all B all C all D (l1_cat_1(A) & v2_cat_1(B) & m1_subset_1(D,u2_cat_1(B)) & m1_subset_1(C,u2_cat_1(A)) & l1_cat_1(B) & v2_cat_1(A) -> m1_subset_1(k13_cat_2(A,B,C,D),u2_cat_1(k11_cat_2(A,B))))) # label(dt_k13_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8119 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> k17_cat_2(A,B) = k10_funct_3(u2_cat_1(A),u2_cat_1(B)))))) # label(d11_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8120 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m3_cat_2(B,A) -> (r1_cat_2(B,A) <-> v9_cat_1(k8_cat_2(A,B),B,A)))))) # label(t27_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8121 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(B)) -> k3_cat_1(k11_cat_2(A,B),k13_cat_2(A,B,C,D)) = k12_cat_2(A,B,k3_cat_1(A,C),k3_cat_1(B,D)) & k12_cat_2(A,B,k2_cat_1(A,C),k2_cat_1(B,D)) = k2_cat_1(k11_cat_2(A,B),k13_cat_2(A,B,C,D)))))))))) # label(t38_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8122 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (v2_cat_1(D) & l1_cat_1(D) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,C,D) -> m2_cat_1(k9_cat_2(u2_cat_1(A),u2_cat_1(C),u2_cat_1(B),u2_cat_1(D),E,F),k11_cat_2(A,C),k11_cat_2(B,D)))))))))))))) # label(t65_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8123 $T # label(t49_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8124 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (k5_cat_2(A,B) = C <-> (all D (r2_hidden(D,C) <-> m2_cat_1(D,A,B))))))))) # label(d2_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8125 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (-v1_xboole_0(C) -> (m1_cat_2(C,A,B) <-> (all D (m1_subset_1(D,C) -> m2_cat_1(D,A,B)))))))))) # label(d3_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8126 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> m2_cat_1(k1_funct_1(k3_funct_5(D),k10_cat_1(A,E)),B,C))))))))))) # label(t44_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8127 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> k8_funct_2(u1_cat_1(k11_cat_2(A,B)),u1_cat_1(A),k12_cat_1(k11_cat_2(A,B),A,k16_cat_2(A,B)),k12_cat_2(A,B,C,D)) = C)))))))) # label(t59_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8128 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,C) -> m2_cat_1(k14_funct_3(u2_cat_1(A),u2_cat_1(B),u2_cat_1(C),D,E),A,k11_cat_2(B,C)))))))))))) # label(t62_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8129 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) & -v1_xboole_0(B) -> m1_subset_1(k3_tarski(a_2_0_cat_2(A,B)),k1_zfmisc_1(u2_cat_1(A))) & -v1_xboole_0(k3_tarski(a_2_0_cat_2(A,B))))))) # label(t28_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8130 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (all E (m1_subset_1(E,u2_cat_1(B)) -> (all F (m1_subset_1(F,u2_cat_1(B)) -> (k2_cat_1(k11_cat_2(A,B),k13_cat_2(A,B,D,F)) = k3_cat_1(k11_cat_2(A,B),k13_cat_2(A,B,C,E)) -> k4_cat_1(k11_cat_2(A,B),k13_cat_2(A,B,C,E),k13_cat_2(A,B,D,F)) = k13_cat_2(A,B,k4_cat_1(A,C,D),k4_cat_1(B,E,F))))))))))))))) # label(t40_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8131 $T # label(t20_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8132 (all A all B all C all D all E all F (-v1_xboole_0(A) & -v1_xboole_0(C) & m1_fraenkel(D,B,C) & v1_funct_1(E) & v1_funct_2(E,A,D) & m1_subset_1(F,A) & m1_relset_1(E,A,D) -> k1_funct_1(E,F) = k1_cat_2(A,B,C,D,E,F))) # label(redefinition_k1_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8133 $T # label(t57_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8134 (all A all B all C all D (m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(D) & m1_relset_1(D,k2_zfmisc_1(B,B),B) & v1_funct_1(C) & -v1_xboole_0(B) & -v1_xboole_0(A) -> k3_funct_4(C,D) = k10_cat_2(A,B,C,D))) # label(redefinition_k10_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8135 (all A all B (l1_cat_1(A) & l1_cat_1(B) & v2_cat_1(B) & v2_cat_1(A) -> l1_cat_1(k11_cat_2(A,B)) & v2_cat_1(k11_cat_2(A,B)))) # label(dt_k11_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8136 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m3_cat_2(B,A) -> m2_cat_1(k15_cat_1(B),B,A))))) # label(t19_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8137 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,B) -> (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) -> k8_funct_2(A,C,k1_cat_2(B,A,C,k1_fraenkel(A,C),k3_cat_2(A,B,C,F),E),D) = k8_funct_2(k2_zfmisc_1(A,B),C,F,k1_domain_1(A,B,D,E)))))))))))))) # label(t4_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8138 (all A all B all C (v2_cat_1(A) & v2_cat_1(B) & m1_cat_2(C,A,B) & l1_cat_1(B) & l1_cat_1(A) -> (all D (m2_cat_2(D,A,B,C) <-> m1_subset_1(D,C))))) # label(redefinition_m2_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8139 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m3_cat_2(B,A) -> (all C (m1_subset_1(C,u2_cat_1(B)) -> (all D (m1_subset_1(D,u2_cat_1(B)) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> (all F (m1_subset_1(F,u2_cat_1(A)) -> (C = E & k2_cat_1(B,D) = k3_cat_1(B,C) & F = D -> k4_cat_1(A,E,F) = k4_cat_1(B,C,D)))))))))))))) # label(t17_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8140 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (m3_cat_2(B,A) <-> r1_tarski(u1_cat_1(B),u1_cat_1(A)) & r1_tarski(u5_cat_1(B),u5_cat_1(A)) & (all C (m1_subset_1(C,u1_cat_1(B)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (C = D -> k10_cat_1(A,D) = k10_cat_1(B,C)))))) & (all C (m1_subset_1(C,u1_cat_1(B)) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> (D = F & C = E -> r1_tarski(k6_cat_1(B,C,D),k6_cat_1(A,E,F)))))))))))))))) # label(d4_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8141 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) -> (all C (-v1_xboole_0(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,C,B) & v1_funct_2(D,C,B) -> (all E (v1_funct_1(E) & m2_relset_1(E,C,B) & v1_funct_2(E,C,B) -> (all F (m2_relset_1(F,k2_zfmisc_1(C,C),C) & v1_funct_1(F) -> (all G (v1_funct_1(G) & v1_funct_2(G,B,C) & m2_relset_1(G,B,C) -> (r1_cat_2(g1_cat_1(B,C,D,E,F,G),A) -> k2_partfun1(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),C) = D & k1_realset1(u5_cat_1(A),C) = F & G = k2_partfun1(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B) & k2_partfun1(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),C) = E & C = k3_tarski(a_2_0_cat_2(A,B))))))))))))))))) # label(t31_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8142 (all A all B all C (v2_cat_1(B) & l1_cat_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_cat_1(B))) & -v1_xboole_0(C) -> (r2_hidden(A,a_2_0_cat_2(B,C)) <-> (exists D exists E (k6_cat_1(B,D,E) = A & r2_hidden(D,C) & r2_hidden(E,C) & m1_subset_1(E,u1_cat_1(B)) & m1_subset_1(D,u1_cat_1(B))))))) # label(fraenkel_a_2_0_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8143 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m3_cat_2(B,A) -> v10_cat_1(k8_cat_2(A,B),B,A))))) # label(t24_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8144 $T # label(t32_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8145 (all A all B all C all D (v1_funct_1(C) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(D) & m1_relset_1(D,k2_zfmisc_1(B,B),B) & -v1_xboole_0(B) & -v1_xboole_0(A) -> v1_funct_1(k10_cat_2(A,B,C,D)) & m2_relset_1(k10_cat_2(A,B,C,D),k2_zfmisc_1(k2_zfmisc_1(A,B),k2_zfmisc_1(A,B)),k2_zfmisc_1(A,B)))) # label(dt_k10_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8146 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> g1_cat_1(k2_zfmisc_1(u1_cat_1(A),u1_cat_1(B)),k2_zfmisc_1(u2_cat_1(A),u2_cat_1(B)),k9_cat_2(u2_cat_1(A),u2_cat_1(B),u1_cat_1(A),u1_cat_1(B),u3_cat_1(A),u3_cat_1(B)),k9_cat_2(u2_cat_1(A),u2_cat_1(B),u1_cat_1(A),u1_cat_1(B),u4_cat_1(A),u4_cat_1(B)),k10_cat_2(u2_cat_1(A),u2_cat_1(B),u5_cat_1(A),u5_cat_1(B)),k9_cat_2(u1_cat_1(A),u1_cat_1(B),u2_cat_1(A),u2_cat_1(B),u6_cat_1(A),u6_cat_1(B))) = k11_cat_2(A,B))))) # label(d7_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8147 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m3_cat_2(B,A) -> (all C (m1_subset_1(C,u2_cat_1(B)) -> m1_subset_1(C,u2_cat_1(A)))))))) # label(t14_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8148 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> k1_funct_1(k5_funct_5(D),k10_cat_1(B,E)) = k15_cat_2(A,B,C,D,E))))))))))) # label(d9_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8149 $T # label(t9_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8150 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_subset_1(F,u2_cat_1(B)) -> k8_funct_2(u2_cat_1(k11_cat_2(A,B)),u2_cat_1(C),D,k13_cat_2(A,B,k10_cat_1(A,E),F)) = k8_funct_2(u2_cat_1(B),u2_cat_1(C),k14_cat_2(A,B,C,D,E),F))))))))))))) # label(t47_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8151 $T # label(t26_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8152 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (l1_cat_1(D) & v2_cat_1(D) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,C,D) -> k9_cat_2(u2_cat_1(A),u2_cat_1(C),u2_cat_1(B),u2_cat_1(D),E,F) = k18_cat_2(k11_cat_2(A,C),B,D,k14_cat_1(k11_cat_2(A,C),A,B,k16_cat_2(A,C),E),k14_cat_1(k11_cat_2(A,C),C,D,k17_cat_2(A,C),F)))))))))))))) # label(t64_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8153 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m3_cat_2(B,A) -> v2_cat_1(B) & l1_cat_1(B))))) # label(dt_m3_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8154 (all A (l1_cat_1(A) & v2_cat_1(A) -> m3_cat_2(A,A))) # label(t18_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8155 (all A all B (l1_cat_1(B) & v2_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> v1_cat_1(k11_cat_2(A,B)) & v2_cat_1(k11_cat_2(A,B)))) # label(fc2_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8156 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m3_cat_2(B,A) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> C = k8_funct_2(u1_cat_1(B),u1_cat_1(A),k12_cat_1(B,A,k8_cat_2(A,B)),C))))))) # label(t22_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8157 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (v1_funct_2(D,k2_zfmisc_1(B,A),C) & m2_relset_1(D,k2_zfmisc_1(B,A),C) & v1_funct_1(D) -> m2_relset_1(k5_funct_5(D),A,k1_fraenkel(B,C)) & v1_funct_2(k5_funct_5(D),A,k1_fraenkel(B,C)) & v1_funct_1(k5_funct_5(D)))))))))) # label(t2_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8158 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(B)) -> m1_subset_1(k1_domain_1(u2_cat_1(A),u2_cat_1(B),C,D),u2_cat_1(k11_cat_2(A,B))))))))))) # label(t36_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8159 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m3_cat_2(B,A) -> (all C (m1_subset_1(C,u2_cat_1(B)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (C = D -> k2_cat_1(A,D) = k2_cat_1(B,C) & k3_cat_1(A,D) = k3_cat_1(B,C)))))))))) # label(t15_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8160 (all A all B all C all D (l1_cat_1(A) & v2_cat_1(B) & m1_subset_1(D,u1_cat_1(B)) & m1_subset_1(C,u1_cat_1(A)) & l1_cat_1(B) & v2_cat_1(A) -> k4_tarski(C,D) = k12_cat_2(A,B,C,D))) # label(redefinition_k12_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8161 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m3_cat_2(B,A) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> k13_cat_1(B,A,k8_cat_2(A,B),C) = C)))))) # label(t23_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8162 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,C) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> k8_funct_2(u1_cat_1(A),u1_cat_1(k11_cat_2(B,C)),k12_cat_1(A,k11_cat_2(B,C),k18_cat_2(A,B,C,D,E)),F) = k12_cat_2(B,C,k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,D),F),k8_funct_2(u1_cat_1(A),u1_cat_1(C),k12_cat_1(A,C,E),F)))))))))))))) # label(t63_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8163 $T # label(t8_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8164 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m3_cat_2(B,A) -> r1_tarski(u2_cat_1(B),u2_cat_1(A)))))) # label(t13_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8165 $T # label(t23_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8166 $T # label(t66_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8167 (all A (l1_struct_0(A) -> (exists B (l1_vectsp_2(B,A) & v3_vectsp_2(B,A))))) # label(rc8_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8168 $T # label(d6_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8169 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(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(k4_vectsp_2(A))) -> (all E (m1_subset_1(E,u1_struct_0(k4_vectsp_2(A))) -> D = k6_vectsp_1(A,k4_vectsp_2(A),k2_group_1(A),D) & k6_vectsp_1(A,k4_vectsp_2(A),k1_group_1(A,B,C),D) = k6_vectsp_1(A,k4_vectsp_2(A),B,k6_vectsp_1(A,k4_vectsp_2(A),C,D)) & k6_vectsp_1(A,k4_vectsp_2(A),k4_rlvect_1(A,B,C),D) = k4_rlvect_1(k4_vectsp_2(A),k6_vectsp_1(A,k4_vectsp_2(A),B,D),k6_vectsp_1(A,k4_vectsp_2(A),C,D)) & k6_vectsp_1(A,k4_vectsp_2(A),B,k4_rlvect_1(k4_vectsp_2(A),D,E)) = k4_rlvect_1(k4_vectsp_2(A),k6_vectsp_1(A,k4_vectsp_2(A),B,D),k6_vectsp_1(A,k4_vectsp_2(A),B,E)))))))))))) # label(t71_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8170 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k1_group_1(A,B,C) = k2_group_1(A) -> C != k1_rlvect_1(A) & k1_rlvect_1(A) != B))))))) # label(t39_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.65	8171 (all A (v6_rlvect_1(A) & v7_vectsp_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(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)) -> (k1_group_1(A,B,C) = k2_group_1(A) -> C = k1_vectsp_2(A,B) & B = k1_vectsp_2(A,C)))))))) # label(t45_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8172 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (B != k1_rlvect_1(A) -> B = k1_vectsp_2(A,k1_vectsp_2(A,B))))))) # label(t49_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8173 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v9_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k1_rlvect_1(A) != B -> C = k1_group_1(A,k2_vectsp_2(A,C,B),B)))))))) # label(t57_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8174 $T # label(t9_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8175 (all A (-v3_struct_0(A) & l1_struct_0(A) -> (all B (l1_vectsp_2(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> k6_vectsp_2(A,B,C,D) = k2_binop_1(u1_struct_0(B),u1_struct_0(A),u1_struct_0(B),u1_vectsp_2(A,B),D,C))))))))) # label(d15_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8176 $T # label(t68_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8177 $T # label(d3_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8178 $T # label(d4_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8179 $T # label(t75_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8180 $T # label(t64_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8181 (all A all B (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v5_rlvect_1(B) & v7_vectsp_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & v6_vectsp_1(B) & v4_group_1(B) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (exists C (l2_vectsp_2(C,A,B) & v3_rlvect_1(C) & v4_rlvect_1(C) & v12_vectsp_1(C,A) & v4_vectsp_2(C,A,B) & v6_vectsp_2(C,A,B) & v5_vectsp_2(C,B) & v6_rlvect_1(C) & v5_rlvect_1(C) & -v3_struct_0(C))))) # label(rc17_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8182 $T # label(t11_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8183 (all A all B all C all D all E (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_relset_1(C,k2_zfmisc_1(B,B),B) & m1_subset_1(D,B) & m1_relset_1(E,k2_zfmisc_1(B,u1_struct_0(A)),B) & v1_funct_2(E,k2_zfmisc_1(B,u1_struct_0(A)),B) & v1_funct_1(E) & l1_struct_0(A) -> (all F all G all H all I all J (g1_vectsp_2(A,B,C,D,E) = g1_vectsp_2(F,G,H,I,J) -> C = H & E = J & I = D & B = G & F = A)))) # label(free_g1_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8184 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(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)) -> (D = k4_rlvect_1(A,B,C) -> C = k6_rlvect_1(A,D,B)) & (C = k6_rlvect_1(A,D,B) -> k4_rlvect_1(A,B,C) = D) & (k6_rlvect_1(A,D,C) = B -> D = k4_rlvect_1(A,B,C)) & (D = k4_rlvect_1(A,B,C) -> k6_rlvect_1(A,D,C) = B))))))))) # label(t22_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8185 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(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_vectsp_2(A,B,C) = k1_group_1(A,B,k1_vectsp_2(A,C)))))))) # label(d8_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8186 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & v6_vectsp_1(B) & v7_vectsp_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & v4_group_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> -v3_struct_0(k9_vectsp_2(A,B)) & v5_rlvect_1(k9_vectsp_2(A,B)) & v6_rlvect_1(k9_vectsp_2(A,B)) & v12_vectsp_1(k9_vectsp_2(A,B),A) & v6_vectsp_2(k9_vectsp_2(A,B),A,B) & l2_vectsp_2(k9_vectsp_2(A,B),A,B) & v5_vectsp_2(k9_vectsp_2(A,B),B) & v4_rlvect_1(k9_vectsp_2(A,B)) & v3_rlvect_1(k9_vectsp_2(A,B)))))) # label(t84_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8187 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v2_group_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (k1_rlvect_1(A) != B -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k1_vectsp_2(A,B) = C <-> k1_group_1(A,B,C) = k2_group_1(A))))))))) # label(d7_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8188 $T # label(d16_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8189 (all A (v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (exists B (l1_vectsp_2(B,A) & -v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v3_vectsp_2(B,A) & v6_rlvect_1(B))))) # label(rc13_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8190 $T # label(t24_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8191 (all A all B all C (l1_struct_0(A) & l1_struct_0(B) & l2_vectsp_2(C,A,B) -> (v4_vectsp_2(C,A,B) -> C = g2_vectsp_2(A,B,u1_struct_0(C),u1_rlvect_1(C),u2_struct_0(C),u2_vectsp_1(B,C),u1_vectsp_2(B,C))))) # label(abstractness_v4_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8192 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v9_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (B != k1_rlvect_1(A) -> k1_group_1(A,k1_vectsp_2(A,B),B) = k2_group_1(A) & k1_group_1(A,B,k1_vectsp_2(A,B)) = k2_group_1(A)))))) # label(t43_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8193 $T # label(t2_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8194 (all A (v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> g1_rlvect_1(u1_struct_0(A),u1_rlvect_1(A),u2_struct_0(A)) = k3_vectsp_2(A))) # label(d9_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8195 (all A all B all C all D all E (l1_struct_0(A) & -v1_xboole_0(B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(E,k2_zfmisc_1(B,u1_struct_0(A)),B) & m1_relset_1(E,k2_zfmisc_1(B,u1_struct_0(A)),B) & v1_funct_1(E) & m1_subset_1(D,B) & v1_funct_1(C) -> v3_vectsp_2(g1_vectsp_2(A,B,C,D,E),A) & -v3_struct_0(g1_vectsp_2(A,B,C,D,E)))) # label(fc1_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8196 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v9_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v7_group_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & v2_vectsp_2(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v7_vectsp_1(A) & v7_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A))) # label(t13_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8197 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(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 != k1_rlvect_1(A) & k1_rlvect_1(A) != C & k1_vectsp_2(A,k1_group_1(A,C,B)) != k1_group_1(A,k1_vectsp_2(A,B),k1_vectsp_2(A,C))))))))) # label(t46_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8198 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) -> (exists B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v12_vectsp_1(B,A) & v11_vectsp_1(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & l4_vectsp_1(B,A))))) # label(rc15_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8199 (all A (v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (k1_rlvect_1(A) = k5_rlvect_1(A,B) <-> k1_rlvect_1(A) = B))))) # label(t34_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8200 (all A (l1_vectsp_1(A) & -v3_struct_0(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> k1_group_1(A,B,k2_vectsp_1(A)) = B & k1_group_1(A,k2_vectsp_1(A),B) = B)) <-> v1_vectsp_2(A)))) # label(d2_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8201 (all A all B (v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(B) & v7_vectsp_1(B) & l3_vectsp_1(B) & v8_vectsp_1(B) & v6_vectsp_1(B) & v4_group_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) & v8_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> -v3_struct_0(k9_vectsp_2(A,B)) & v6_rlvect_1(k9_vectsp_2(A,B)) & v4_vectsp_2(k9_vectsp_2(A,B),A,B) & l2_vectsp_2(k9_vectsp_2(A,B),A,B) & v5_rlvect_1(k9_vectsp_2(A,B)) & v4_rlvect_1(k9_vectsp_2(A,B)) & v3_rlvect_1(k9_vectsp_2(A,B)))) # label(dt_k9_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8202 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> -v3_struct_0(k4_vectsp_2(A)) & v3_rlvect_1(k4_vectsp_2(A)) & v5_rlvect_1(k4_vectsp_2(A)) & v11_vectsp_1(k4_vectsp_2(A),A) & l4_vectsp_1(k4_vectsp_2(A),A) & v6_rlvect_1(k4_vectsp_2(A)) & v4_rlvect_1(k4_vectsp_2(A)))) # label(dt_k4_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8203 (exists A (l3_vectsp_1(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v2_group_1(A) & v5_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A))) # label(rc3_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8204 $T # label(t15_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8205 (all A all B all C all D (l1_vectsp_2(B,A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) & -v3_struct_0(B) & l1_struct_0(A) & -v3_struct_0(A) -> m1_subset_1(k6_vectsp_2(A,B,C,D),u1_struct_0(B)))) # label(dt_k6_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8206 $T # label(t25_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8207 $T # label(t27_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8208 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v4_rlvect_1(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)) & k4_rlvect_1(A,C,D) = B & k4_rlvect_1(A,D,C) = B)))))))) # label(t38_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8209 (all A (l1_struct_0(A) -> (exists B (-v3_struct_0(B) & l1_vectsp_2(B,A))))) # label(rc9_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8210 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(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)) -> -(k1_group_1(A,B,C) = k1_rlvect_1(A) & k1_rlvect_1(A) != B & C != k1_rlvect_1(A)))))))) # label(t47_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8211 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> v3_rlvect_1(k5_vectsp_2(A)) & v5_rlvect_1(k5_vectsp_2(A)) & v6_rlvect_1(k5_vectsp_2(A)) & v5_vectsp_2(k5_vectsp_2(A),A) & v3_vectsp_2(k5_vectsp_2(A),A) & v4_rlvect_1(k5_vectsp_2(A)) & -v3_struct_0(k5_vectsp_2(A)))) # label(fc4_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8212 $T # label(d22_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8213 $T # label(t74_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8214 (exists A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v3_vectsp_1(A) & v7_group_1(A) & v2_group_1(A) & v4_rlvect_1(A) & l3_vectsp_1(A))) # label(rc4_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8215 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l3_vectsp_1(B) & v8_vectsp_1(B) & v7_vectsp_1(B) & v6_vectsp_1(B) & v4_group_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (l2_vectsp_2(C,A,B) & -v3_struct_0(C) -> (v5_vectsp_2(C,B) & v12_vectsp_1(C,A) & v6_vectsp_2(C,A,B) <-> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (all F (m1_subset_1(F,u1_struct_0(B)) -> (all G (m1_subset_1(G,u1_struct_0(B)) -> (all H (m1_subset_1(H,u1_struct_0(C)) -> (all I (m1_subset_1(I,u1_struct_0(C)) -> k6_vectsp_1(A,C,D,k2_rlvect_1(C,H,I)) = k2_rlvect_1(C,k6_vectsp_1(A,C,D,H),k6_vectsp_1(A,C,D,I)) & k2_rlvect_1(C,k6_vectsp_1(A,C,D,H),k6_vectsp_1(A,C,E,H)) = k6_vectsp_1(A,C,k4_rlvect_1(A,D,E),H) & k6_vectsp_1(A,C,k1_group_1(A,D,E),H) = k6_vectsp_1(A,C,D,k6_vectsp_1(A,C,E,H)) & H = k6_vectsp_1(A,C,k2_group_1(A),H) & k2_rlvect_1(C,k6_vectsp_2(B,C,F,H),k6_vectsp_2(B,C,G,H)) = k6_vectsp_2(B,C,k4_rlvect_1(B,F,G),H) & k6_vectsp_2(B,C,F,k6_vectsp_1(A,C,D,H)) = k6_vectsp_1(A,C,D,k6_vectsp_2(B,C,F,H)) & H = k6_vectsp_2(B,C,k2_group_1(B),H) & k6_vectsp_2(B,C,F,k6_vectsp_2(B,C,G,H)) = k6_vectsp_2(B,C,k1_group_1(B,G,F),H) & k2_rlvect_1(C,k6_vectsp_2(B,C,F,H),k6_vectsp_2(B,C,F,I)) = k6_vectsp_2(B,C,F,k2_rlvect_1(C,H,I))))))))))))))))))))) # label(t83_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8216 $T # label(t10_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8217 $T # label(t3_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8218 (exists A (l3_vectsp_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v5_vectsp_1(A) & v4_vectsp_1(A) & v2_group_1(A) & v3_rlvect_1(A) & -v3_struct_0(A))) # label(rc6_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8219 $T # label(t6_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8220 $T # label(t12_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8221 (all A all B all C (-v10_vectsp_1(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l3_vectsp_1(A) & v9_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> m1_subset_1(k2_vectsp_2(A,B,C),u1_struct_0(A)))) # label(dt_k2_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8222 (all A (l2_vectsp_1(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 != k1_rlvect_1(A) & k1_rlvect_1(A) != B & k1_group_1(A,B,C) = k1_rlvect_1(A)))))) <-> v2_vectsp_2(A)))) # label(d5_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8223 $T # label(t62_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8224 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v9_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(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)) -> (B != k1_rlvect_1(A) -> k6_rlvect_1(A,k2_vectsp_2(A,C,B),k2_vectsp_2(A,D,B)) = k2_vectsp_2(A,k6_rlvect_1(A,C,D),B) & k4_rlvect_1(A,k2_vectsp_2(A,C,B),k2_vectsp_2(A,D,B)) = k2_vectsp_2(A,k4_rlvect_1(A,C,D),B)))))))))) # label(t55_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8225 $T # label(t17_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8226 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> -(k1_rlvect_1(A) != B & k1_vectsp_2(A,B) = k1_rlvect_1(A)))))) # label(t48_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8227 (all A (v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & v6_vectsp_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & v7_vectsp_1(B) & v4_group_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> g2_vectsp_2(A,B,k1_tarski(k1_xboole_0),k2_midsp_1,k8_vectsp_2,k10_funct_3(u1_struct_0(A),k1_tarski(k1_xboole_0)),k9_funct_3(k1_tarski(k1_xboole_0),u1_struct_0(B))) = k9_vectsp_2(A,B))))) # label(d21_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8228 (all A (l1_vectsp_1(A) -> (v8_vectsp_1(A) & v7_group_1(A) & -v3_struct_0(A) -> v2_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & -v3_struct_0(A)))) # label(cc2_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8229 $T # label(t21_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8230 (all A all B (l1_struct_0(B) & l1_struct_0(A) -> (exists C (-v3_struct_0(C) & l2_vectsp_2(C,A,B))))) # label(rc11_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8231 $T # label(t33_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8232 $T # label(t26_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8233 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v9_vectsp_1(A) & v7_vectsp_1(A) & v4_rlvect_1(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_vectsp_2(A,k1_group_1(A,D,C),k1_group_1(A,B,C)) != k2_vectsp_2(A,D,B) & C != k1_rlvect_1(A) & B != k1_rlvect_1(A)))))))))) # label(t53_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8234 (all A (-v3_struct_0(A) & v4_group_1(A) & v6_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k1_group_1(A,B,C) = k2_group_1(A) -> k1_group_1(A,C,B) = k2_group_1(A)))))))) # label(t41_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8235 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v7_vectsp_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & v6_vectsp_1(B) & v4_group_1(B) & v6_rlvect_1(B) & v4_rlvect_1(B) -> (all C (l2_vectsp_2(C,A,B) & -v3_struct_0(C) -> (v6_vectsp_2(C,A,B) <-> (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(C)) -> k6_vectsp_2(B,C,E,k6_vectsp_1(A,C,D,F)) = k6_vectsp_1(A,C,D,k6_vectsp_2(B,C,E,F))))))))))))))) # label(d24_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8236 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(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_group_1(A) != k1_group_1(A,B,C))) & k1_rlvect_1(A) != B) & k1_rlvect_1(A) != k2_group_1(A))) -> v3_rlvect_1(A) & v4_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A)))) # label(t16_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8237 $T # label(d12_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8238 $T # label(t76_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8239 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> k4_vectsp_2(A) = g4_vectsp_1(A,u1_struct_0(A),u1_rlvect_1(A),u2_struct_0(A),u1_group_1(A)))) # label(d11_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8240 $T # label(t35_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8241 $T # label(d19_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8242 $T # label(t59_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8243 $T # label(t81_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8244 (exists A (l3_vectsp_1(A) & -v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v2_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v3_vectsp_1(A) & v3_rlvect_1(A))) # label(rc1_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8245 (all A (l1_struct_0(A) -> (all B (l1_vectsp_2(B,A) -> l1_rlvect_1(B))))) # label(dt_l1_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8246 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(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(k5_vectsp_2(A))) -> (all E (m1_subset_1(E,u1_struct_0(k5_vectsp_2(A))) -> k6_vectsp_2(A,k5_vectsp_2(A),B,k4_rlvect_1(k5_vectsp_2(A),D,E)) = k4_rlvect_1(k5_vectsp_2(A),k6_vectsp_2(A,k5_vectsp_2(A),B,D),k6_vectsp_2(A,k5_vectsp_2(A),B,E)) & k6_vectsp_2(A,k5_vectsp_2(A),k4_rlvect_1(A,B,C),D) = k4_rlvect_1(k5_vectsp_2(A),k6_vectsp_2(A,k5_vectsp_2(A),B,D),k6_vectsp_2(A,k5_vectsp_2(A),C,D)) & k6_vectsp_2(A,k5_vectsp_2(A),k2_group_1(A),D) = D & k6_vectsp_2(A,k5_vectsp_2(A),k1_group_1(A,C,B),D) = k6_vectsp_2(A,k5_vectsp_2(A),B,k6_vectsp_2(A,k5_vectsp_2(A),C,D)))))))))))) # label(t77_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8247 (all A (l3_vectsp_1(A) & -v3_struct_0(A) -> (all B (l1_vectsp_2(B,A) & -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_subset_1(E,u1_struct_0(B)) -> (all F (m1_subset_1(F,u1_struct_0(B)) -> k6_vectsp_2(A,B,C,k6_vectsp_2(A,B,D,E)) = k6_vectsp_2(A,B,k1_group_1(A,D,C),E) & E = k6_vectsp_2(A,B,k2_group_1(A),E) & k2_rlvect_1(B,k6_vectsp_2(A,B,C,E),k6_vectsp_2(A,B,D,E)) = k6_vectsp_2(A,B,k2_rlvect_1(A,C,D),E) & k2_rlvect_1(B,k6_vectsp_2(A,B,C,E),k6_vectsp_2(A,B,C,F)) = k6_vectsp_2(A,B,C,k2_rlvect_1(B,E,F)))))))))) <-> v5_vectsp_2(B,A)))))) # label(d23_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.66	8248 (all A (l3_vectsp_1(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)) -> B = k2_rlvect_1(A,B,k1_rlvect_1(A)) & k1_group_1(A,B,k1_group_1(A,C,D)) = k1_group_1(A,k1_group_1(A,B,C),D) & k2_rlvect_1(A,k1_group_1(A,B,C),k1_group_1(A,B,D)) = k1_group_1(A,B,k2_rlvect_1(A,C,D)) & k2_rlvect_1(A,k1_group_1(A,C,B),k1_group_1(A,D,B)) = k1_group_1(A,k2_rlvect_1(A,C,D),B) & B = k1_group_1(A,k2_group_1(A),B) & B = k1_group_1(A,B,k2_group_1(A)) & k2_rlvect_1(A,B,k5_rlvect_1(A,B)) = k1_rlvect_1(A) & k2_rlvect_1(A,B,k2_rlvect_1(A,C,D)) = k2_rlvect_1(A,k2_rlvect_1(A,B,C),D) & k2_rlvect_1(A,B,C) = k2_rlvect_1(A,C,B))))))) <-> -v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v3_rlvect_1(A)))) # label(t1_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.67	8249 (all A all B all C all D all E all F all G (v1_funct_2(D,k2_zfmisc_1(C,C),C) & m1_subset_1(E,C) & m1_relset_1(F,k2_zfmisc_1(u1_struct_0(A),C),C) & m1_relset_1(G,k2_zfmisc_1(C,u1_struct_0(B)),C) & v1_funct_2(G,k2_zfmisc_1(C,u1_struct_0(B)),C) & v1_funct_1(G) & v1_funct_2(F,k2_zfmisc_1(u1_struct_0(A),C),C) & v1_funct_1(F) & m1_relset_1(D,k2_zfmisc_1(C,C),C) & v1_funct_1(D) & l1_struct_0(B) & l1_struct_0(A) -> v4_vectsp_2(g2_vectsp_2(A,B,C,D,E,F,G),A,B) & l2_vectsp_2(g2_vectsp_2(A,B,C,D,E,F,G),A,B))) # label(dt_g2_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.67	8250 $T # label(t79_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.67	8251 (all A all B all C all D all E (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(D,B) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,u1_struct_0(A)),B) & m1_relset_1(E,k2_zfmisc_1(B,u1_struct_0(A)),B) & m1_relset_1(C,k2_zfmisc_1(B,B),B) & l1_struct_0(A) -> l1_vectsp_2(g1_vectsp_2(A,B,C,D,E),A) & v3_vectsp_2(g1_vectsp_2(A,B,C,D,E),A))) # label(dt_g1_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.67	8252 $T # label(t44_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.67	8253 $T # label(t8_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.67	8254 $T # label(t29_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.67	8255 $T # label(t28_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.67	8256 (all A (l1_vectsp_1(A) & -v3_struct_0(A) -> (v1_vectsp_2(A) -> k2_group_1(A) = k2_vectsp_1(A)))) # label(t85_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.67	8257 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> -(k1_rlvect_1(A) != B & (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_group_1(A,C,B) != k2_group_1(A)))))))) # label(t40_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.67	8258 $T # label(t73_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.67	8259 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> k5_vectsp_2(A) = g1_vectsp_2(A,u1_struct_0(A),u1_rlvect_1(A),u2_struct_0(A),u1_group_1(A)))) # label(d14_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.67	8260 (exists A (l3_vectsp_1(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v6_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v3_vectsp_1(A) & v4_group_1(A) & v2_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A))) # label(rc7_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.67	8261 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (exists B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & v3_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_2(B,A))))) # label(rc16_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.11/118.67	8262 (all A all B (l1_vectsp_2(B,A) & l1_struct_0(A) -> v1_funct_2(u1_vectsp_2(A,B),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B)) & m2_relset_1(u1_vectsp_2(A,B),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B)) & v1_funct_1(u1_vectsp_2(A,B)))) # label(dt_u1_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8263 (all A all B (-v3_struct_0(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v7_vectsp_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & v6_vectsp_1(B) & v4_group_1(B) & v6_rlvect_1(B) & v3_rlvect_1(B) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> -v3_struct_0(k9_vectsp_2(A,B)) & v4_rlvect_1(k9_vectsp_2(A,B)) & v6_rlvect_1(k9_vectsp_2(A,B)) & v12_vectsp_1(k9_vectsp_2(A,B),A) & v6_vectsp_2(k9_vectsp_2(A,B),A,B) & v5_vectsp_2(k9_vectsp_2(A,B),B) & v4_vectsp_2(k9_vectsp_2(A,B),A,B) & v5_rlvect_1(k9_vectsp_2(A,B)) & v3_rlvect_1(k9_vectsp_2(A,B)))) # label(fc5_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8264 $T # label(d1_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8265 $T # label(t82_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8266 $T # label(t7_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8267 (all A all B all C all D all E all F all G (l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(D) & m1_subset_1(E,C) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(u1_struct_0(A),C),C) & m1_relset_1(G,k2_zfmisc_1(C,u1_struct_0(B)),C) & v1_funct_2(G,k2_zfmisc_1(C,u1_struct_0(B)),C) & v1_funct_1(G) & m1_relset_1(F,k2_zfmisc_1(u1_struct_0(A),C),C) & m1_relset_1(D,k2_zfmisc_1(C,C),C) & v1_funct_2(D,k2_zfmisc_1(C,C),C) -> (all H all I all J all K all L all M all N (g2_vectsp_2(A,B,C,D,E,F,G) = g2_vectsp_2(H,I,J,K,L,M,N) -> I = B & G = N & M = F & E = L & K = D & J = C & A = H)))) # label(free_g2_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8268 $T # label(t63_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8269 $T # label(t5_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8270 $T # label(t19_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8271 $T # label(t70_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8272 (all A all B (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v2_group_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v9_vectsp_1(A) & m1_subset_1(B,u1_struct_0(A)) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> m1_subset_1(k1_vectsp_2(A,B),u1_struct_0(A)))) # label(dt_k1_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8273 $T # label(d20_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8274 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (B != k1_rlvect_1(A) -> k5_rlvect_1(A,k2_vectsp_2(A,C,B)) = k2_vectsp_2(A,C,k5_rlvect_1(A,B)) & k5_rlvect_1(A,k2_vectsp_2(A,C,B)) = k2_vectsp_2(A,k5_rlvect_1(A,C),B)))))))) # label(t54_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8275 $T # label(d13_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8276 $T # label(t32_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8277 $T # label(t18_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8278 $T # label(t69_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8279 (all A (m1_subset_1(A,k1_tarski(k1_xboole_0)) -> k8_vectsp_2 = A)) # label(d18_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8280 $T # label(t14_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8281 (exists A (l3_vectsp_1(A) & -v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v5_vectsp_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_vectsp_1(A) & v3_vectsp_1(A) & v2_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A))) # label(rc2_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8282 (all A (v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> -v3_struct_0(k5_vectsp_2(A)) & v4_rlvect_1(k5_vectsp_2(A)) & v5_rlvect_1(k5_vectsp_2(A)) & l1_vectsp_2(k5_vectsp_2(A),A) & v3_vectsp_2(k5_vectsp_2(A),A) & v6_rlvect_1(k5_vectsp_2(A)) & v3_rlvect_1(k5_vectsp_2(A)))) # label(dt_k5_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8283 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (B != k1_rlvect_1(A) -> k2_vectsp_2(A,B,B) = k2_group_1(A)))))) # label(t52_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8284 (all A all B (l1_struct_0(A) & l1_struct_0(B) -> (exists C l2_vectsp_2(C,A,B)))) # label(existence_l2_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8285 (all A (l1_vectsp_1(A) -> (v1_vectsp_2(A) & -v3_struct_0(A) -> -v3_struct_0(A) & v2_group_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A)))) # label(cc1_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8286 $T # label(t80_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8287 $T # label(t60_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8288 (all A (v1_funct_1(A) & v1_funct_2(A,k1_tarski(k1_xboole_0),k1_tarski(k1_xboole_0)) & m2_relset_1(A,k1_tarski(k1_xboole_0),k1_tarski(k1_xboole_0)) -> k7_vectsp_2 = A)) # label(d17_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8289 (all A (-v3_struct_0(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v2_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(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_group_1(A,B,C) = k1_group_1(A,B,D) -> D = C | k1_rlvect_1(A) = B))))))))) # label(t42_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8290 (all A all B (v4_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v4_group_1(B) & l3_vectsp_1(B) & v8_vectsp_1(B) & v7_vectsp_1(B) & v6_vectsp_1(B) & v6_rlvect_1(B) & v4_rlvect_1(B) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (exists C (l2_vectsp_2(C,A,B) & -v3_struct_0(C) & v3_rlvect_1(C) & v6_rlvect_1(C) & v4_vectsp_2(C,A,B) & v5_rlvect_1(C) & v4_rlvect_1(C))))) # label(rc14_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8291 $T # label(t67_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8292 (all A all B all C all D all E all F all G (l1_struct_0(A) & l1_struct_0(B) & -v1_xboole_0(C) & v1_funct_2(D,k2_zfmisc_1(C,C),C) & m1_relset_1(D,k2_zfmisc_1(C,C),C) & m1_subset_1(E,C) & v1_funct_1(F) & v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(C,u1_struct_0(B)),C) & m1_relset_1(G,k2_zfmisc_1(C,u1_struct_0(B)),C) & m1_relset_1(F,k2_zfmisc_1(u1_struct_0(A),C),C) & v1_funct_2(F,k2_zfmisc_1(u1_struct_0(A),C),C) & v1_funct_1(D) -> -v3_struct_0(g2_vectsp_2(A,B,C,D,E,F,G)) & v4_vectsp_2(g2_vectsp_2(A,B,C,D,E,F,G),A,B))) # label(fc2_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8293 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (k1_rlvect_1(A) != B -> k1_group_1(A,B,k2_vectsp_2(A,k2_group_1(A),B)) = k2_group_1(A) & k2_group_1(A) = k1_group_1(A,k2_vectsp_2(A,k2_group_1(A),B),B)))))) # label(t51_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8294 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(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)) -> -(B != k1_rlvect_1(A) & C != k1_rlvect_1(A) & k2_vectsp_2(A,D,k2_vectsp_2(A,B,C)) != k2_vectsp_2(A,k1_group_1(A,D,C),B)))))))))) # label(t56_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8295 (all A all B (l1_struct_0(B) & l1_struct_0(A) -> (exists C (l2_vectsp_2(C,A,B) & v4_vectsp_2(C,A,B))))) # label(rc10_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8296 $T # label(t65_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8297 (all A all B (l1_struct_0(A) & l1_vectsp_2(B,A) -> (v3_vectsp_2(B,A) -> g1_vectsp_2(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u1_vectsp_2(A,B)) = B))) # label(abstractness_v3_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8298 $T # label(t37_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8299 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> -v3_struct_0(k4_vectsp_2(A)) & v3_rlvect_1(k4_vectsp_2(A)) & v5_rlvect_1(k4_vectsp_2(A)) & v6_rlvect_1(k4_vectsp_2(A)) & v12_vectsp_1(k4_vectsp_2(A),A) & v11_vectsp_1(k4_vectsp_2(A),A) & v4_rlvect_1(k4_vectsp_2(A)))) # label(fc3_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8300 $T # label(t78_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8301 (all A all B (l1_struct_0(A) & l1_struct_0(B) -> (all C (l2_vectsp_2(C,A,B) -> l4_vectsp_1(C,A) & l1_vectsp_2(C,B))))) # label(dt_l2_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8302 $T # label(t58_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8303 $T # label(d10_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8304 (exists A (l3_vectsp_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v3_vectsp_1(A) & v4_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v2_vectsp_2(A) & -v10_vectsp_1(A) & v6_vectsp_1(A) & v5_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & v2_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A))) # label(rc5_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8305 $T # label(t31_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8306 $T # label(t20_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8307 $T # label(t61_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8308 $T # label(t30_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8309 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) -> v1_rlvect_1(k3_vectsp_2(A)) & v4_rlvect_1(k3_vectsp_2(A)) & v5_rlvect_1(k3_vectsp_2(A)) & l1_rlvect_1(k3_vectsp_2(A)) & v6_rlvect_1(k3_vectsp_2(A)) & v3_rlvect_1(k3_vectsp_2(A)) & -v3_struct_0(k3_vectsp_2(A)))) # label(dt_k3_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8310 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (B != k1_rlvect_1(A) -> k1_vectsp_2(A,B) = k2_vectsp_2(A,k2_group_1(A),B) & B = k2_vectsp_2(A,k2_group_1(A),k1_vectsp_2(A,B))))))) # label(t50_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8311 (all A (l1_struct_0(A) -> (exists B l1_vectsp_2(B,A)))) # label(existence_l1_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8312 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (exists B (-v3_struct_0(B) & v11_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & l4_vectsp_1(B,A))))) # label(rc12_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8313 $T # label(t4_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8314 $T # label(t36_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8315 $T # label(t72_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8316 (all A (l1_vectsp_1(A) -> (-v3_struct_0(A) & v6_vectsp_1(A) & v7_group_1(A) -> v6_vectsp_1(A) & v8_vectsp_1(A) & v2_group_1(A) & -v3_struct_0(A)))) # label(cc3_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8317 $T # label(t16_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8318 (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].
119.18/118.67	8319 (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].
119.18/118.67	8320 (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].
119.18/118.67	8321 (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].
119.18/118.67	8322 (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].
119.18/118.67	8323 (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].
119.18/118.67	8324 (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].
119.18/118.67	8325 (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].
119.18/118.67	8326 (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].
119.18/118.67	8327 (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].
119.18/118.67	8328 (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].
119.18/118.67	8329 (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].
119.18/118.67	8330 $T # label(t25_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8331 (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].
119.18/118.67	8332 (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].
119.18/118.67	8333 (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].
119.18/118.67	8334 (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].
119.18/118.67	8335 (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].
119.18/118.67	8336 (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].
119.18/118.67	8337 (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].
119.18/118.67	8338 (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].
119.18/118.67	8339 (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].
119.18/118.67	8340 (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].
119.18/118.67	8341 (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].
119.18/118.67	8342 (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].
119.18/118.67	8343 (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].
119.18/118.67	8344 (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].
119.18/118.67	8345 (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].
119.18/118.67	8346 (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].
119.18/118.67	8347 (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].
119.18/118.67	8348 (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].
119.18/118.67	8349 (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].
119.18/118.67	8350 (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].
119.18/118.67	8351 (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].
119.18/118.67	8352 (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].
119.18/118.67	8353 $T # label(t8_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8354 (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].
119.18/118.67	8355 (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].
119.18/118.67	8356 (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].
119.18/118.67	8357 (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].
119.18/118.67	8358 (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].
119.18/118.67	8359 (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].
119.18/118.67	8360 (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].
119.18/118.67	8361 (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].
119.18/118.67	8362 $T # label(t36_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8363 (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].
119.18/118.67	8364 (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].
119.18/118.67	8365 (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].
119.18/118.67	8366 $T # label(t79_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8367 (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].
119.18/118.67	8368 (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].
119.18/118.67	8369 (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].
119.18/118.67	8370 (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].
119.18/118.67	8371 (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].
119.18/118.67	8372 (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].
119.18/118.67	8373 (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].
119.18/118.67	8374 (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].
119.18/118.67	8375 (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].
119.18/118.67	8376 (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].
119.18/118.67	8377 (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].
119.18/118.67	8378 (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].
119.18/118.67	8379 (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].
119.18/118.67	8380 (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].
119.18/118.67	8381 $T # label(t43_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8382 (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].
119.18/118.67	8383 (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].
119.18/118.67	8384 (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].
119.18/118.67	8385 $T # label(t61_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.18/118.67	8386 (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].
119.18/118.67	8387 (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].
119.18/118.68	8388 (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].
119.18/118.68	8389 $T # label(t17_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8390 (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].
119.18/118.68	8391 (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].
119.18/118.68	8392 (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].
119.18/118.68	8393 $T # label(t35_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8394 (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].
119.18/118.68	8395 (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].
119.18/118.68	8396 (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].
119.18/118.68	8397 (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].
119.18/118.68	8398 (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].
119.18/118.68	8399 $T # label(t86_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8400 (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].
119.18/118.68	8401 (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].
119.18/118.68	8402 (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].
119.18/118.68	8403 (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].
119.18/118.68	8404 (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].
119.18/118.68	8405 (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].
119.18/118.68	8406 (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].
119.18/118.68	8407 (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].
119.18/118.68	8408 (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].
119.18/118.68	8409 (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].
119.18/118.68	8410 (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].
119.18/118.68	8411 (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].
119.18/118.68	8412 (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].
119.18/118.68	8413 (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].
119.18/118.68	8414 (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].
119.18/118.68	8415 (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].
119.18/118.68	8416 (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].
119.18/118.68	8417 (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].
119.18/118.68	8418 (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].
119.18/118.68	8419 (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].
119.18/118.68	8420 (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].
119.18/118.68	8421 (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].
119.18/118.68	8422 (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].
119.18/118.68	8423 (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].
119.18/118.68	8424 (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].
119.18/118.68	8425 (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].
119.18/118.68	8426 (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].
119.18/118.68	8427 (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].
119.18/118.68	8428 (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].
119.18/118.68	8429 $T # label(t21_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8430 $T # label(t28_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8431 (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].
119.18/118.68	8432 (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].
119.18/118.68	8433 (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].
119.18/118.68	8434 (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].
119.18/118.68	8435 (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].
119.18/118.68	8436 (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].
119.18/118.68	8437 (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].
119.18/118.68	8438 (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].
119.18/118.68	8439 $T # label(t76_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8440 (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].
119.18/118.68	8441 (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].
119.18/118.68	8442 $T # label(t33_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8443 (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].
119.18/118.68	8444 (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].
119.18/118.68	8445 (all A all B (v3_group_1(A) & v4_group_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k1_group_2(A,B),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k1_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8446 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(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_group_2(D,A) -> (r1_rlvect_1(D,k1_group_1(A,k3_group_1(A,C),B)) <-> k12_group_2(A,D,B) = k12_group_2(A,D,C)))))))))) # label(t137_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8447 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k4_group_2(A,C,k7_group_2(A,B)) = k13_group_2(A,B,C))))))) # label(d14_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8448 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_group_2(B,A) -> r1_tarski(k8_group_1(B),k8_group_1(A)))))) # label(t83_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8449 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> r2_wellord2(k14_group_2(A,B),k15_group_2(A,B)))))) # label(t166_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8450 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_group_2(D,A) -> (r1_rlvect_1(D,C) & r1_rlvect_1(D,B) -> r1_rlvect_1(D,k1_group_1(A,B,C))))))))))) # label(t59_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8451 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(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_group_2(D,A) -> (-r1_xboole_0(k12_group_2(A,D,B),k12_group_2(A,D,C)) <-> k12_group_2(A,D,C) = k12_group_2(A,D,B)))))))))) # label(t138_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8452 (all A (l1_group_1(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)) -> (v4_group_1(A) -> k3_group_2(A,k1_group_1(A,C,D),B) = k3_group_2(A,C,k3_group_2(A,D,B))))))))))) # label(t38_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8453 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_group_2(B,A) & v1_group_1(B) -> (v6_group_1(A) & k17_group_2(A,B) = k9_group_1(A) -> r1_group_2(A,B,k5_group_2(A))))))) # label(t184_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8454 (all A (-v3_struct_0(A) & l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v6_group_1(A) -> v1_finset_1(B)))))) # label(t3_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8455 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (v6_group_1(A) -> k9_group_1(A) = k2_nat_1(k9_group_1(B),k17_group_2(A,B))))))) # label(t177_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8456 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> k6_group_2(A) = g1_group_1(u1_struct_0(A),u1_group_1(A)))) # label(d8_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8457 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> k5_setfam_1(u1_struct_0(A),k15_group_2(A,B)) = u1_struct_0(A) & u1_struct_0(A) = k5_setfam_1(u1_struct_0(A),k14_group_2(A,B)))))) # label(t167_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8458 $T # label(t4_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8459 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> (a_1_0_group_2(A) = k15_group_2(A,B) -> r1_group_2(A,B,k5_group_2(A))))))) # label(t171_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8460 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> (u1_struct_0(B) = u1_struct_0(C) -> g1_group_1(u1_struct_0(C),u1_group_1(C)) = g1_group_1(u1_struct_0(B),u1_group_1(B))))))))) # label(t68_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8461 (all A (l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (exists B m1_group_2(B,A)))) # label(existence_m1_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8462 $T # label(t124_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8463 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all 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))) -> (all D (m1_group_2(D,A) -> k2_group_2(A,B,k10_group_2(A,D,C)) = k10_group_2(A,D,k2_group_2(A,B,C)))))))))) # label(t116_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8464 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) & v1_group_1(B) -> (k17_group_2(A,B) = np__1 & v1_finset_1(k14_group_2(A,B)) -> B = A))))) # label(t181_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8465 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> m1_group_2(k9_group_2(A,B,C),C) & m1_group_2(k9_group_2(A,B,C),B))))))) # label(t106_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8466 (all A all B (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & m1_group_2(B,A) & -v3_struct_0(A) -> m1_subset_1(k14_group_2(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) # label(dt_k14_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8467 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) -> (v6_group_1(A) -> r1_xreal_0(k9_group_1(B),k9_group_1(A))))))) # label(t84_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8468 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> (all D (v1_group_1(D) & m1_group_2(D,A) -> (u1_struct_0(D) = k3_xboole_0(u1_struct_0(B),u1_struct_0(C)) -> r1_group_2(A,D,k8_group_2(A,B,C))))) & (all D (m1_group_2(D,A) -> (k8_group_2(A,B,C) = D -> u1_struct_0(D) = k3_xboole_0(u1_struct_0(B),u1_struct_0(C))))))))))) # label(t97_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8469 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> k14_group_2(A,k5_group_2(A)) = a_1_0_group_2(A))) # label(t168_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8470 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k10_group_2(A,B,C) = k2_group_2(A,C,k7_group_2(A,B)))))))) # label(d11_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8471 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (v3_group_1(A) & l1_group_1(A) & v7_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> v7_group_1(B)))))) # label(t62_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8472 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> (m1_group_2(B,C) -> m1_group_2(k9_group_2(A,B,D),k9_group_2(A,C,D))))))))))) # label(t110_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8473 (all A all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) -> (all C (m1_group_2(C,B) -> (r1_rlvect_1(C,A) <-> r2_hidden(A,k7_group_2(B,C))))))) # label(t88_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8474 (all A all B (v3_group_1(B) & l1_group_1(B) & -v3_struct_0(B) -> (all C (m1_group_2(C,B) -> (r1_rlvect_1(C,A) -> r1_rlvect_1(B,A)))))) # label(t49_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8475 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> m1_group_2(A,A))) # label(t63_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8476 (all A all B all C (l1_group_1(A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_group_2(B,A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k10_group_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k10_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8477 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> k9_group_1(k5_group_2(A)) = np__1)) # label(t81_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8478 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k2_group_2(A,k7_group_2(A,B),C) = k11_group_2(A,B,C))))))) # label(d12_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8479 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (v6_group_1(A) -> r1_nat_1(k9_group_1(B),k9_group_1(A))))))) # label(t178_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8480 (all A (l1_group_1(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)) -> (v4_group_1(A) -> k4_group_2(A,k1_group_1(A,C,D),B) = k4_group_2(A,D,k4_group_2(A,C,B))))))))))) # label(t40_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8481 $T # label(t112_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8482 $T # label(t47_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8483 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> k2_group_2(A,B,k11_group_2(A,C,k7_group_2(A,D))) = k10_group_2(A,D,k10_group_2(A,C,B)))))))))) # label(t119_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8484 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> k1_group_2(A,k2_subset_1(u1_struct_0(A))) = u1_struct_0(A))) # label(t9_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8485 $T # label(t73_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8486 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> (v6_group_1(C) | v6_group_1(B) -> v6_group_1(k9_group_2(A,B,C))))))))) # label(t111_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8487 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> r1_rlvect_1(B,C))) -> g1_group_1(u1_struct_0(A),u1_group_1(A)) = g1_group_1(u1_struct_0(B),u1_group_1(B))))))) # label(t71_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8488 $T # label(t1_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8489 $T # label(t86_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8490 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> r1_tarski(k12_group_2(A,C,k6_group_1(A,np__2,B)),k2_group_2(A,k12_group_2(A,C,B),k12_group_2(A,C,B))))))))) # label(t141_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8491 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(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_group_2(D,A) -> r2_wellord2(k12_group_2(A,D,B),k12_group_2(A,D,C)))))))))) # label(t151_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8492 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> k1_xboole_0 = k1_group_2(A,k1_subset_1(u1_struct_0(A))))) # label(t8_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8493 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all 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))) -> (all D (m1_group_2(D,A) -> k2_group_2(A,k10_group_2(A,D,B),C) = k2_group_2(A,B,k11_group_2(A,D,C)))))))))) # label(t117_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8494 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> k8_relset_1(u1_struct_0(A),u1_struct_0(A),k4_group_1(A),u1_struct_0(B)) = k4_group_1(B))))) # label(t58_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8495 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> a_1_0_group_2(A) = k15_group_2(A,k5_group_2(A)))) # label(t169_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8496 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(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_group_2(D,A) -> (k13_group_2(A,D,C) = k13_group_2(A,D,B) <-> -r1_xboole_0(k13_group_2(A,D,B),k13_group_2(A,D,C))))))))))) # label(t144_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8497 (all A all B all C (v3_group_1(A) & v4_group_1(A) & m1_group_2(C,A) & v1_group_1(C) & m1_group_2(B,A) & v1_group_1(B) & l1_group_1(A) & -v3_struct_0(A) -> r1_group_2(A,B,B))) # label(reflexivity_r1_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8498 (all A all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_group_2(D,B) -> ((exists E (r1_rlvect_1(D,E) & k1_group_1(B,C,E) = A & m1_subset_1(E,u1_struct_0(B)))) <-> r2_hidden(A,k12_group_2(B,D,C))))))))) # label(t125_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8499 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> (v1_finset_1(k14_group_2(A,B)) -> (exists C (C = k14_group_2(A,B) & k17_group_2(A,B) = k4_card_1(C) & v1_finset_1(C))) & (exists C (v1_finset_1(C) & k17_group_2(A,B) = k4_card_1(C) & k15_group_2(A,B) = C))))))) # label(t176_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8500 (all A all B all C all D (-v3_struct_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & l1_group_1(B) -> ((exists E exists F (m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & k1_group_1(B,E,F) = A & r2_hidden(E,C) & r2_hidden(F,D))) <-> r2_hidden(A,a_3_0_group_2(B,C,D))))) # label(fraenkel_a_3_0_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8501 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (B = D -> k3_group_1(C,D) = k3_group_1(A,B)))))))))) # label(t57_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8502 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_group_2(D,A) -> r2_wellord2(k13_group_2(A,D,B),k13_group_2(A,D,C)))))))))) # label(t153_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8503 (all A (l1_group_1(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)) -> (v4_group_1(A) -> k4_group_2(A,D,k3_group_2(A,C,B)) = k3_group_2(A,C,k4_group_2(A,D,B))))))))))) # label(t39_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8504 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> r1_tarski(k13_group_2(A,C,k6_group_1(A,np__2,B)),k2_group_2(A,k13_group_2(A,C,B),k13_group_2(A,C,B))))))))) # label(t147_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8505 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) -> r1_group_2(A,k9_group_2(A,B,k5_group_2(A)),k5_group_2(A)) & r1_group_2(A,k9_group_2(A,k5_group_2(A),B),k5_group_2(A)))))) # label(t103_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8506 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> np__1 = k17_group_2(A,k6_group_2(A)))) # label(t180_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8507 (all A all B all C (l1_group_1(A) & m1_subset_1(C,u1_struct_0(A)) & m1_group_2(B,A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k13_group_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k13_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8508 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(B = k1_xboole_0 & k1_xboole_0 != k1_group_2(A,B)) & -(k1_group_2(A,B) = k1_xboole_0 & k1_xboole_0 != B))))) # label(t10_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8509 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> (r1_rlvect_1(C,B) -> r1_rlvect_1(C,k3_group_1(A,B))))))))) # label(t60_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8510 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k6_domain_1(u1_struct_0(A),k3_group_1(A,B)) = k1_group_2(A,k6_domain_1(u1_struct_0(A),B)))))) # label(t6_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8511 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & m1_group_2(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & l1_group_1(A) & v4_group_1(A) -> m1_subset_1(k11_group_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k11_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8512 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all 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))) -> (-v3_struct_0(A) & v3_group_1(A) & v7_group_1(A) & l1_group_1(A) & v4_group_1(A) -> k2_group_2(A,C,B) = k2_group_2(A,B,C)))))))) # label(t29_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8513 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (v1_finset_1(k14_group_2(A,B)) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (k17_group_2(A,B) = C <-> (exists D (k4_card_1(D) = C & k14_group_2(A,B) = D & v1_finset_1(D))))))))))) # label(d18_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8514 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all 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))) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (v4_group_1(A) -> k3_group_2(A,D,k2_group_2(A,B,C)) = k2_group_2(A,k3_group_2(A,D,B),C)))))))))) # label(t35_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8515 (all A (l1_group_1(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)) -> k7_domain_1(u1_struct_0(A),k1_group_1(A,B,C),k1_group_1(A,B,D)) = k2_group_2(A,k6_domain_1(u1_struct_0(A),B),k7_domain_1(u1_struct_0(A),C,D)))))))))) # label(t23_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8516 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> k13_group_2(A,B,k2_group_1(A)) = k7_group_2(A,B) & k12_group_2(A,B,k2_group_1(A)) = k7_group_2(A,B))))) # label(t132_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8517 $T # label(t113_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8518 (all A all B all C (-v3_struct_0(A) & v4_group_1(A) & m1_group_2(B,A) & m1_group_2(C,A) & l1_group_1(A) & v3_group_1(A) -> k9_group_2(A,B,C) = k9_group_2(A,C,B))) # label(commutativity_k9_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8519 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k12_group_2(A,k5_group_2(A),B) = k6_domain_1(u1_struct_0(A),B) & k13_group_2(A,k5_group_2(A),B) = k6_domain_1(u1_struct_0(A),B))))) # label(t133_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8520 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> -(-v3_struct_0(A) & v3_group_1(A) & v7_group_1(A) & (all D (v1_group_1(D) & m1_group_2(D,A) -> u1_struct_0(D) != k2_group_2(A,k7_group_2(A,B),k7_group_2(A,C)))) & l1_group_1(A) & v4_group_1(A)))))))) # label(t94_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8521 (all A all B all C (m1_subset_1(C,u1_struct_0(A)) & m1_group_2(B,A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k12_group_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k12_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8522 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> k14_group_2(A,k6_group_2(A)) = k1_tarski(u1_struct_0(A)) & k15_group_2(A,k6_group_2(A)) = k1_tarski(u1_struct_0(A)))) # label(t172_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8523 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_group_2(D,A) -> r1_tarski(k4_group_2(A,C,k13_group_2(A,D,B)),k2_group_2(A,k13_group_2(A,D,B),k13_group_2(A,D,C))))))))))) # label(t145_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8524 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & m1_group_2(B,A) & v1_group_1(C) & m1_group_2(C,A) & v1_group_1(B) -> (r1_group_2(A,B,C) -> r1_group_2(A,C,B)))) # label(symmetry_r1_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8525 (all A all B (-v3_struct_0(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) -> (all C (m1_group_2(C,B) -> (all D (m1_group_2(D,B) -> (r1_rlvect_1(k8_group_2(B,C,D),A) <-> r1_rlvect_1(C,A) & r1_rlvect_1(D,A)))))))) # label(t99_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8526 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (k1_xboole_0 != B -> k2_group_2(A,k2_subset_1(u1_struct_0(A)),B) = u1_struct_0(A) & k2_group_2(A,B,k2_subset_1(u1_struct_0(A))) = u1_struct_0(A)))))) # label(t21_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.68	8527 (all A (-v3_struct_0(A) & v1_group_1(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) & v1_group_1(B) -> (u1_struct_0(B) = u1_struct_0(A) -> A = B))))) # label(t70_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8528 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -((all C (m1_group_2(C,A) & v1_group_1(C) -> B != u1_struct_0(C))) & (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(C,B) -> r2_hidden(k3_group_1(A,C),B)))) & (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(k1_group_1(A,C,D),B)))))) & k1_xboole_0 != B))))) # label(t61_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8529 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_group_2(B,A) -> k2_group_1(B) = k2_group_1(A))))) # label(t53_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8530 $T # label(t31_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8531 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> (r1_rlvect_1(B,D) -> r1_rlvect_1(C,D)))) -> m1_group_2(B,C)))))))) # label(t67_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8532 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v7_group_1(A) -> k12_group_2(A,C,B) = k13_group_2(A,C,B)))))))) # label(t135_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8533 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k3_group_2(A,B,C) = k2_group_2(A,k6_domain_1(u1_struct_0(A),B),C))))))) # label(d3_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8534 (all A all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) -> ((exists C (m1_subset_1(C,u1_struct_0(B)) & A = k6_domain_1(u1_struct_0(B),C))) <-> r2_hidden(A,a_1_0_group_2(B))))) # label(fraenkel_a_1_0_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8535 $T # label(t2_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8536 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> -((all D (v1_finset_1(D) -> (all E (v1_finset_1(E) -> -(k13_group_2(A,C,B) = E & k4_card_1(D) = k9_group_1(C) & k9_group_1(C) = k4_card_1(E) & D = k12_group_2(A,C,B)))))) & v6_group_1(C)))))))) # label(t156_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8537 (all A all B (-v3_struct_0(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> ((exists D (r2_hidden(D,C) & k3_group_1(B,D) = A & m1_subset_1(D,u1_struct_0(B)))) <-> r2_hidden(A,k1_group_2(B,C))))))) # label(t5_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8538 (all A all B (l1_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (r2_hidden(A,k4_group_2(B,D,C)) <-> (exists E (r2_hidden(E,C) & k1_group_1(B,E,D) = A & m1_subset_1(E,u1_struct_0(B))))))))))) # label(t34_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8539 $T # label(t157_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8540 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & v3_group_1(C) & v4_group_1(C) & l1_group_1(C) -> (m1_group_2(B,C) & m1_group_2(A,B) -> m1_group_2(A,C)))))))) # label(t65_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8541 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> (r1_rlvect_1(B,D) <-> r1_rlvect_1(C,D)))) -> g1_group_1(u1_struct_0(C),u1_group_1(C)) = g1_group_1(u1_struct_0(B),u1_group_1(B))))))))) # label(t69_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8542 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(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_group_2(D,A) -> r1_tarski(k12_group_2(A,D,k1_group_1(A,B,C)),k2_group_2(A,k12_group_2(A,D,B),k12_group_2(A,D,C))))))))))) # label(t139_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8543 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(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_group_2(D,A) -> (r2_hidden(B,k7_group_2(A,D)) & r2_hidden(C,k7_group_2(A,D)) -> r2_hidden(k1_group_1(A,B,C),k7_group_2(A,D))))))))))) # label(t89_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8544 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) & v1_group_1(B) -> (k5_group_2(A) = B <-> k6_domain_1(u1_struct_0(A),k2_group_1(A)) = u1_struct_0(B)))))) # label(d7_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8545 (all A (-v3_struct_0(A) & l1_group_1(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)) -> k9_domain_1(u1_struct_0(A),k1_group_1(A,B,D),k1_group_1(A,B,E),k1_group_1(A,C,D),k1_group_1(A,C,E)) = k2_group_2(A,k7_domain_1(u1_struct_0(A),B,C),k7_domain_1(u1_struct_0(A),D,E)))))))))))) # label(t25_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8546 $T # label(t158_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8547 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> (k7_group_2(A,C) = k12_group_2(A,C,B) <-> r1_rlvect_1(C,B)))))))) # label(t136_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8548 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (v1_group_1(C) & m1_group_2(C,A) -> (r1_group_2(A,k9_group_2(A,C,B),C) <-> m1_group_2(C,B)))))))) # label(t107_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8549 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> r2_hidden(B,k13_group_2(A,C,B)) & r2_hidden(B,k12_group_2(A,C,B)))))))) # label(t130_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8550 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> (r1_tarski(u1_struct_0(B),u1_struct_0(C)) -> m1_group_2(B,C)))))))) # label(t66_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8551 $T # label(t45_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8552 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> r1_tarski(k7_group_2(A,C),k2_group_2(A,k12_group_2(A,C,k3_group_1(A,B)),k12_group_2(A,C,B))) & r1_tarski(k7_group_2(A,C),k2_group_2(A,k12_group_2(A,C,B),k12_group_2(A,C,k3_group_1(A,B)))))))))) # label(t140_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8553 $T # label(t46_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8554 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_group_2(B,A) & v1_group_1(B) -> (all C (m1_group_2(C,A) & v1_group_1(C) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> (r1_rlvect_1(B,D) <-> r1_rlvect_1(C,D)))) <-> r1_group_2(A,B,C)))))))) # label(d6_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8555 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all 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))) -> k2_group_2(A,B,C) = a_3_0_group_2(A,B,C))))))) # label(d2_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8556 $T # label(t95_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8557 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,A) -> k1_tarski(B) = k18_group_2(A,B))) # label(redefinition_k18_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8558 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all 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))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (v4_group_1(A) -> k2_group_2(A,B,k2_group_2(A,C,D)) = k2_group_2(A,k2_group_2(A,B,C),D)))))))))) # label(t14_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8559 (all A all B all C (l1_group_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v3_struct_0(A) -> m1_subset_1(k4_group_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k4_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8560 (all A (v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> (k1_tarski(u1_struct_0(A)) = k15_group_2(A,B) -> A = B))))) # label(t174_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8561 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_group_2(B,A) -> k16_group_2(A,B) = k1_card_1(k14_group_2(A,B)))))) # label(d17_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8562 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> r1_group_2(A,k8_group_2(A,B,C),k8_group_2(A,C,B)))))))) # label(t101_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8563 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> (k16_group_2(A,B) = k8_group_1(A) & v1_finset_1(k14_group_2(A,B)) -> v6_group_1(A) & r1_group_2(A,B,k5_group_2(A))))))) # label(t185_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8564 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) -> k1_card_1(k15_group_2(A,B)) = k16_group_2(A,B) & k16_group_2(A,B) = k1_card_1(k14_group_2(A,B)))))) # label(t175_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8565 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> v6_group_1(k5_group_2(A)))) # label(t80_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8566 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> v1_group_1(k5_group_2(A)) & m1_group_2(k5_group_2(A),A))) # label(dt_k5_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8567 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> (r1_rlvect_1(C,B) <-> k7_group_2(A,C) = k13_group_2(A,C,B)))))))) # label(t142_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8568 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k1_xboole_0 = k3_group_2(A,B,k1_subset_1(u1_struct_0(A))) & k1_xboole_0 = k4_group_2(A,B,k1_subset_1(u1_struct_0(A))))))) # label(t41_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8569 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all 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))) -> (all D (m1_group_2(D,A) -> k11_group_2(A,D,k2_group_2(A,B,C)) = k2_group_2(A,k11_group_2(A,D,B),C))))))))) # label(t118_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8570 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(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_group_2(D,A) -> r2_wellord2(k12_group_2(A,D,B),k13_group_2(A,D,C)))))))))) # label(t152_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8571 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k1_xboole_0 = k2_group_2(A,B,k1_subset_1(u1_struct_0(A))) & k1_xboole_0 = k2_group_2(A,k1_subset_1(u1_struct_0(A)),B))))) # label(t20_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8572 (all A (l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> m1_subset_1(C,u1_struct_0(A)))))))) # label(t51_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8573 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_group_2(C,A) -> (-v3_struct_0(A) & v3_group_1(A) & v7_group_1(A) & l1_group_1(A) & v4_group_1(A) -> k11_group_2(A,C,B) = k10_group_2(A,C,B)))))))) # label(t122_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8574 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_group_2(B,A) & v1_group_1(B) -> (v6_group_1(B) & k9_group_1(B) = np__1 -> r1_group_2(A,B,k5_group_2(A))))))) # label(t82_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8575 (all A all B all C (-v3_struct_0(A) & l1_group_1(A) & m1_group_2(B,A) & m1_group_2(C,A) & v4_group_1(A) & v3_group_1(A) -> v1_group_1(k8_group_2(A,B,C)) & m1_group_2(k8_group_2(A,B,C),A))) # label(dt_k8_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8576 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(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)) -> (r2_hidden(C,B) -> r2_hidden(k3_group_1(A,C),B)))) -> k1_group_2(A,B) = B))))) # label(t27_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8577 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_group_2(D,A) -> (k13_group_2(A,D,B) = k13_group_2(A,D,C) <-> r1_rlvect_1(D,k1_group_1(A,C,k3_group_1(A,B)))))))))))) # label(t143_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8578 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> v1_group_1(k6_group_2(A)) & m1_group_2(k6_group_2(A),A))) # label(dt_k6_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8579 (all A all B (l1_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> ((exists E (m1_subset_1(E,u1_struct_0(B)) & A = k1_group_1(B,D,E) & r2_hidden(E,C))) <-> r2_hidden(A,k3_group_2(B,D,C))))))))) # label(t33_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8580 (all A all B all C (-v3_struct_0(A) & l1_group_1(A) & m1_group_2(C,A) & v1_group_1(C) & m1_group_2(B,A) & v1_group_1(B) & v4_group_1(A) & v3_group_1(A) -> (r1_group_2(A,B,C) <-> C = B))) # label(redefinition_r1_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8581 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all 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))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k2_group_2(A,B,C),k2_group_2(A,B,D)) = k2_group_2(A,B,k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)),C,D)))))))))) # label(t16_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8582 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> (exists D (v1_group_1(D) & m1_group_2(D,A) & k4_group_2(A,k3_group_1(A,B),k12_group_2(A,C,B)) = u1_struct_0(D))))))))) # label(t150_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8583 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k12_group_2(A,C,B),k12_group_2(A,D,B)) = k12_group_2(A,k9_group_2(A,C,D),B))))))))) # label(t148_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8584 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k1_group_2(A,B) = a_2_0_group_2(A,B))))) # label(d1_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8585 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_group_2(B,A) -> r1_rlvect_1(B,k2_group_1(A)))))) # label(t55_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8586 (all A all B (v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_group_2(D,B) -> (r2_hidden(A,k10_group_2(B,D,C)) <-> (exists E ((exists F (r1_rlvect_1(D,F) & r2_hidden(E,C) & A = k1_group_1(B,E,F) & m1_subset_1(F,u1_struct_0(B)))) & m1_subset_1(E,u1_struct_0(B))))))))))) # label(t114_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8587 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k7_group_2(A,B),k7_group_2(A,C)) = k7_group_2(A,k8_group_2(A,B,C)))))))) # label(t98_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8588 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (v6_group_1(A) -> k17_group_2(A,k5_group_2(A)) = k9_group_1(A)))) # label(t183_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8589 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> r1_tarski(k7_group_2(A,C),k2_group_2(A,k13_group_2(A,C,B),k13_group_2(A,C,k3_group_1(A,B)))) & r1_tarski(k7_group_2(A,C),k2_group_2(A,k13_group_2(A,C,k3_group_1(A,B)),k13_group_2(A,C,B))))))))) # label(t146_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8590 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> k1_group_2(A,k7_group_2(A,B)) = k7_group_2(A,B))))) # label(t92_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8591 (all A all B all C (v4_group_1(A) & m1_group_2(B,A) & m1_group_2(C,A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> v1_group_1(k9_group_2(A,B,C)) & m1_group_2(k9_group_2(A,B,C),A))) # label(dt_k9_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8592 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> r1_group_2(A,k9_group_2(A,k9_group_2(A,B,C),D),k9_group_2(A,B,k9_group_2(A,C,D))))))))))) # label(t102_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8593 (all A all B (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & m1_group_2(B,A) & l1_group_1(A) -> v1_card_1(k16_group_2(A,B)))) # label(dt_k16_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8594 (all A (l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> r1_rlvect_1(A,C))))))) # label(t50_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8595 (all A (v3_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> B = k3_group_2(A,k2_group_1(A),B) & B = k4_group_2(A,k2_group_1(A),B))))) # label(t43_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8596 (all A all B (l1_group_1(A) & m1_group_2(B,A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k15_group_2(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) # label(dt_k15_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8597 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> m1_group_2(B,k6_group_2(A)))))) # label(t78_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8598 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> r1_group_2(A,k8_group_2(A,B,B),B))))) # label(t100_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8599 $T # label(t123_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8600 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) -> (m1_group_2(A,B) & m1_group_2(B,A) -> g1_group_1(u1_struct_0(A),u1_group_1(A)) = g1_group_1(u1_struct_0(B),u1_group_1(B))))))) # label(t64_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8601 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,C) -> (v6_group_1(A) & B = D -> k2_nat_1(k17_group_2(C,D),k17_group_2(A,C)) = k17_group_2(A,B)))))))))) # label(t179_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8602 $T # label(t74_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8603 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k3_group_2(A,C,k7_group_2(A,B)) = k12_group_2(A,B,C))))))) # label(d13_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8604 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> r2_hidden(k7_group_2(A,B),k15_group_2(A,B)) & r2_hidden(k7_group_2(A,B),k14_group_2(A,B)))))) # label(t165_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8605 $T # label(t11_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8606 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) & v1_group_1(B) -> (a_1_0_group_2(A) = k14_group_2(A,B) -> r1_group_2(A,B,k5_group_2(A))))))) # label(t170_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8607 $T # label(t96_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8608 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & v1_group_1(A) -> (all B (m1_group_2(B,A) & v1_group_1(B) -> (k1_tarski(u1_struct_0(A)) = k14_group_2(A,B) -> A = B))))) # label(t173_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8609 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all 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))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(k2_group_2(A,B,k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)),C,D)),k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k2_group_2(A,B,C),k2_group_2(A,B,D))))))))))) # label(t18_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8610 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> (all D (v1_group_1(D) & m1_group_2(D,A) -> (u1_struct_0(D) = k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k7_group_2(A,B),k7_group_2(A,C)) <-> k8_group_2(A,B,C) = D))))))))) # label(d10_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8611 $T # label(t72_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8612 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_group_2(B,A) -> v4_group_1(B))))) # label(cc1_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8613 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (k15_group_2(A,B) = C <-> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> ((exists E (m1_subset_1(E,u1_struct_0(A)) & D = k13_group_2(A,B,E))) <-> r2_hidden(D,C))))))))))) # label(d16_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8614 $T # label(t162_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8615 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all 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))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k2_group_2(A,B,D),k2_group_2(A,C,D)) = k2_group_2(A,k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)),B,C),D))))))))) # label(t17_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8616 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) -> k1_xboole_0 != k7_group_2(A,B))))) # label(t87_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8617 (all A all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_group_2(D,B) -> ((exists E (m1_subset_1(E,u1_struct_0(B)) & r1_rlvect_1(D,E) & k1_group_1(B,E,C) = A)) <-> r2_hidden(A,k13_group_2(B,D,C))))))))) # label(t126_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8618 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) & v1_group_1(B) -> (k9_group_1(B) = k9_group_1(A) & v6_group_1(A) -> B = A))))) # label(t85_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8619 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> k8_group_1(C) = k1_card_1(k12_group_2(A,C,B)) & k8_group_1(C) = k1_card_1(k13_group_2(A,C,B)))))))) # label(t155_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8620 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all 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))) -> k1_group_2(A,k2_group_2(A,B,C)) = k2_group_2(A,k1_group_2(A,C),k1_group_2(A,B)))))))) # label(t15_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8621 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> k11_group_2(A,C,k10_group_2(A,D,B)) = k10_group_2(A,D,k11_group_2(A,C,B)))))))))) # label(t120_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8622 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_group_2(D,A) -> k4_group_2(A,C,k13_group_2(A,D,B)) = k13_group_2(A,D,k1_group_1(A,B,C)))))))))) # label(t129_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8623 (all A all B (l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_group_2(D,B) -> (r2_hidden(A,k11_group_2(B,D,C)) <-> (exists E (m1_subset_1(E,u1_struct_0(B)) & (exists F (m1_subset_1(F,u1_struct_0(B)) & A = k1_group_1(B,E,F) & r2_hidden(F,C) & r1_rlvect_1(D,E)))))))))))) # label(t115_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8624 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k4_group_2(A,B,k2_subset_1(u1_struct_0(A))) = u1_struct_0(A) & k3_group_2(A,B,k2_subset_1(u1_struct_0(A))) = u1_struct_0(A))))) # label(t42_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8625 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> k2_group_1(B) = k2_group_1(C))))))) # label(t54_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8626 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> r1_rlvect_1(C,k2_group_1(B)))))))) # label(t56_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8627 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> k8_group_1(A) = k16_group_2(A,k5_group_2(A)))) # label(t182_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8628 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k13_group_2(A,C,B),k13_group_2(A,D,B)) = k13_group_2(A,k9_group_2(A,C,D),B))))))))) # label(t149_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8629 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(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_group_2(D,A) -> k3_group_2(A,B,k12_group_2(A,D,C)) = k12_group_2(A,D,k1_group_1(A,B,C)))))))))) # label(t127_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8630 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (exists B (v1_group_1(B) & v4_group_1(B) & v3_group_1(B) & v2_group_1(B) & -v3_struct_0(B) & m1_group_2(B,A))))) # label(rc1_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8631 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(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_domain_1(u1_struct_0(A),k3_group_1(A,B),k3_group_1(A,C)) = k1_group_2(A,k7_domain_1(u1_struct_0(A),B,C)))))))) # label(t7_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8632 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> (m1_group_2(B,D) & m1_group_2(B,C) -> m1_group_2(B,k9_group_2(A,C,D))))))))))) # label(t109_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8633 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) -> (all B (l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (r1_tarski(u1_struct_0(B),u1_struct_0(A)) & u1_group_1(B) = k1_realset1(u1_group_1(A),u1_struct_0(B)) <-> m1_group_2(B,A)))))) # label(d5_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8634 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all 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))) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (v4_group_1(A) -> k2_group_2(A,B,k3_group_2(A,D,C)) = k2_group_2(A,k4_group_2(A,D,B),C)))))))))) # label(t36_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8635 (all A all B all C (-v3_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & l1_group_1(A) -> m1_subset_1(k3_group_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k3_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8636 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all 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))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(k2_group_2(A,k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)),B,C),D),k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k2_group_2(A,B,D),k2_group_2(A,C,D))))))))))) # label(t19_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8637 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all 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))) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (v4_group_1(A) -> k4_group_2(A,D,k2_group_2(A,B,C)) = k2_group_2(A,B,k4_group_2(A,D,C))))))))))) # label(t37_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8638 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v7_group_1(A) & v4_group_1(A) -> (all 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))) -> k1_group_2(A,k2_group_2(A,B,C)) = k2_group_2(A,k1_group_2(A,B),k1_group_2(A,C)))))))) # label(t30_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8639 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> k2_group_2(A,k11_group_2(A,C,k7_group_2(A,D)),B) = k11_group_2(A,C,k11_group_2(A,D,B)))))))))) # label(t121_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8640 $T # label(t160_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8641 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> m1_group_2(k5_group_2(A),B))))) # label(t77_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8642 (all A (v3_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> v3_group_1(B) & l1_group_1(B) & -v3_struct_0(B))))) # label(dt_m1_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8643 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> (r2_hidden(B,k7_group_2(A,C)) -> r2_hidden(k3_group_1(A,B),k7_group_2(A,C))))))))) # label(t90_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8644 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> k5_group_2(B) = k5_group_2(A))))) # label(t75_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8645 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> k7_group_2(A,B) = k2_group_2(A,k7_group_2(A,B),k7_group_2(A,B)))))) # label(t91_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8646 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_finset_1(B) -> -((all C (v1_finset_1(C) -> -(k4_card_1(C) = k2_nat_1(A,k4_card_1(B)) & C = k3_tarski(B)))) & (all C -((all D (v1_finset_1(D) -> -(D = C & k4_card_1(D) = A & (all E (r2_hidden(E,B) -> r1_xboole_0(C,E) & r2_wellord2(C,E) | E = C))))) & r2_hidden(C,B)))))))) # label(t186_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8647 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k2_group_2(A,C,k6_domain_1(u1_struct_0(A),B)) = k4_group_2(A,B,C))))))) # label(d4_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8648 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> m1_group_2(A,k6_group_2(A)))) # label(t79_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8649 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> k7_group_2(A,B) = u1_struct_0(B))))) # label(d9_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8650 (all A (l1_group_1(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_group_2(A,k6_domain_1(u1_struct_0(A),B),k6_domain_1(u1_struct_0(A),C)) = k6_domain_1(u1_struct_0(A),k1_group_1(A,B,C)))))))) # label(t22_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8651 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> ((exists D (u1_struct_0(D) = k2_group_2(A,k7_group_2(A,B),k7_group_2(A,C)) & m1_group_2(D,A))) -> k2_group_2(A,k7_group_2(A,B),k7_group_2(A,C)) = k2_group_2(A,k7_group_2(A,C),k7_group_2(A,B))) & -((all D (v1_group_1(D) & m1_group_2(D,A) -> u1_struct_0(D) != k2_group_2(A,k7_group_2(A,B),k7_group_2(A,C)))) & k2_group_2(A,k7_group_2(A,B),k7_group_2(A,C)) = k2_group_2(A,k7_group_2(A,C),k7_group_2(A,B))))))))) # label(t93_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8652 (all A all B (m1_subset_1(B,A) & -v1_xboole_0(A) -> m1_subset_1(k18_group_2(A,B),k5_finsub_1(A)))) # label(dt_k18_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8653 (all A all B (l1_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> ((exists E ((exists F (k1_group_1(B,E,F) = A & r2_hidden(F,D) & r2_hidden(E,C) & m1_subset_1(F,u1_struct_0(B)))) & m1_subset_1(E,u1_struct_0(B)))) <-> r2_hidden(A,k2_group_2(B,C,D))))))))) # label(t12_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8654 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> (m1_group_2(B,C) -> m1_group_2(k9_group_2(A,B,D),C)))))))))) # label(t108_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8655 $T # label(t161_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8656 $T # label(t131_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8657 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(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_group_2(D,A) -> k3_group_2(A,B,k13_group_2(A,D,C)) = k4_group_2(A,C,k12_group_2(A,D,B)))))))))) # label(t128_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8658 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> ((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> ((exists E (m1_subset_1(E,u1_struct_0(A)) & D = k12_group_2(A,B,E))) <-> r2_hidden(D,C)))) <-> C = k14_group_2(A,B)))))))) # label(d15_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8659 (all A (v3_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (v6_group_1(A) -> v6_group_1(B)))))) # label(t48_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8660 $T # label(t163_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8661 (all A all B all C (l1_group_1(A) & m1_group_2(C,A) & m1_group_2(B,A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> k8_group_2(A,B,C) = k9_group_2(A,B,C))) # label(redefinition_k9_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8662 (all A all B all C (v3_group_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & l1_group_1(B) & v4_group_1(B) & -v3_struct_0(B) -> ((exists D (m1_subset_1(D,u1_struct_0(B)) & r2_hidden(D,C) & A = k3_group_1(B,D))) <-> r2_hidden(A,a_2_0_group_2(B,C))))) # label(fraenkel_a_2_0_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8663 (all A (-v3_struct_0(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_group_2(D,A) -> (all E (m1_subset_1(E,u1_struct_0(D)) -> (all F (m1_subset_1(F,u1_struct_0(D)) -> (C = F & B = E -> k1_group_1(A,B,C) = k1_group_1(D,E,F)))))))))))))) # label(t52_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8664 (all A (v3_group_1(A) & l1_group_1(A) & v7_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> v4_group_1(B) & v7_group_1(B))))) # label(cc2_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.69	8665 (all A (-v3_struct_0(A) & l1_group_1(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)) -> k7_domain_1(u1_struct_0(A),k1_group_1(A,B,D),k1_group_1(A,C,D)) = k2_group_2(A,k7_domain_1(u1_struct_0(A),B,C),k6_domain_1(u1_struct_0(A),D)))))))))) # label(t24_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8666 (all A all B (m1_group_2(B,A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k7_group_2(A,B),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k7_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8667 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all 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))) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (r2_hidden(E,C) & r2_hidden(D,B) -> k1_group_1(A,D,E) = k1_group_1(A,E,D)))))) -> k2_group_2(A,B,C) = k2_group_2(A,C,B)))))))) # label(t28_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8668 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> u1_struct_0(A) = k12_group_2(A,k6_group_2(A),B) & u1_struct_0(A) = k13_group_2(A,k6_group_2(A),B))))) # label(t134_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8669 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> k5_group_2(C) = k5_group_2(B))))))) # label(t76_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8670 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all 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))) -> (k2_group_2(A,B,C) != k1_xboole_0 <-> k1_xboole_0 != C & B != k1_xboole_0))))))) # label(t13_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8671 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(C,B) -> r2_hidden(k3_group_1(A,C),B)))) & (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(k1_group_1(A,C,D),B)))))) -> k2_group_2(A,B,B) = B))))) # label(t26_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8672 $T # label(t159_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8673 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> r2_wellord2(k7_group_2(A,C),k13_group_2(A,C,B)) & r2_wellord2(k7_group_2(A,C),k12_group_2(A,C,B)))))))) # label(t154_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8674 (all A (v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> A = k9_group_2(A,k6_group_2(A),k6_group_2(A)))) # label(t105_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8675 (all A all B (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & m1_group_2(B,A) & v3_group_1(A) -> m2_subset_1(k17_group_2(A,B),k1_numbers,k5_numbers))) # label(dt_k17_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8676 $T # label(t32_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8677 (all A (v3_group_1(A) & l1_group_1(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))) -> (-v3_struct_0(A) & v3_group_1(A) & v7_group_1(A) & l1_group_1(A) & v4_group_1(A) -> k3_group_2(A,B,C) = k4_group_2(A,B,C)))))))) # label(t44_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8678 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) & v1_group_1(B) -> r1_group_2(A,k9_group_2(A,B,k6_group_2(A)),B) & r1_group_2(A,k9_group_2(A,k6_group_2(A),B),B))))) # label(t104_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8679 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (v6_group_1(A) -> v1_finset_1(k15_group_2(A,B)) & v1_finset_1(k14_group_2(A,B))))))) # label(t164_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8680 (all A all B all C (l1_group_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v3_struct_0(A) -> m1_subset_1(k2_group_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k2_group_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8681 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_vectsp_4(D,A,B) -> (exists E (r2_hidden(C,E) & m2_vectsp_4(E,A,B,D))))))))))) # label(t84_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8682 $T # label(t56_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8683 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> k1_rlvect_1(B) = k1_rlvect_1(C))))))) # label(t19_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8684 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) & v11_vectsp_1(E,A) -> (all F (m1_vectsp_4(F,A,B) & v11_vectsp_1(F,A) -> (k3_vectsp_4(A,B,D,F) = k3_vectsp_4(A,B,C,E) -> F = E))))))))))))) # label(t83_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8685 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (-v3_struct_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v6_rlvect_1(C) & v12_vectsp_1(C,A) & l4_vectsp_1(C,A) & v5_rlvect_1(C) -> (u2_struct_0(B) = u2_struct_0(C) & k1_realset1(u1_rlvect_1(B),u1_struct_0(C)) = u1_rlvect_1(C) & k7_relat_1(u2_vectsp_1(A,B),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C))) = u2_vectsp_1(A,C) & r1_tarski(u1_struct_0(C),u1_struct_0(B)) <-> m1_vectsp_4(C,A,B)))))))) # label(d2_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8686 $T # label(t98_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8687 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> r1_rlvect_1(D,k1_rlvect_1(C)))))))))) # label(t26_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8688 (all A all B (-v3_struct_0(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) & l3_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all C (m1_vectsp_4(C,A,B) -> v3_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & l4_vectsp_1(C,A) & v12_vectsp_1(C,A) & v4_rlvect_1(C) & -v3_struct_0(C))))) # label(dt_m1_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8689 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_vectsp_4(D,A,B) -> (r1_rlvect_1(D,C) -> r2_hidden(k5_rlvect_1(B,C),k3_vectsp_4(A,B,C,D))))))))))) # label(t74_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8690 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (k3_vectsp_4(A,B,D,E) = k3_vectsp_4(A,B,C,E) <-> r2_hidden(C,k3_vectsp_4(A,B,D,E))))))))))))) # label(t70_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8691 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (v1_vectsp_4(C,A,B) -> k1_xboole_0 = C | r2_hidden(k1_rlvect_1(B),C)))))))) # label(t4_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8692 (all A all B (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & -v3_struct_0(B) & l3_vectsp_1(A) & v4_group_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (exists C (m1_vectsp_4(C,A,B) & -v3_struct_0(C) & v5_rlvect_1(C) & v11_vectsp_1(C,A) & v12_vectsp_1(C,A) & v6_rlvect_1(C) & v4_rlvect_1(C) & v3_rlvect_1(C))))) # label(rc1_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8693 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (all F (m2_vectsp_4(F,A,B,E) -> -((all G (m1_subset_1(G,u1_struct_0(B)) -> -(r1_rlvect_1(E,G) & D = k4_rlvect_1(B,C,G)))) & r2_hidden(D,F) & r2_hidden(C,F)))))))))))))) # label(t94_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8694 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k3_vectsp_4(A,B,C,k2_vectsp_4(A,B)) = u1_struct_0(B))))))) # label(t62_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8695 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (v3_rlvect_1(C) & v6_rlvect_1(C) & v12_vectsp_1(C,A) & l4_vectsp_1(C,A) & v5_rlvect_1(C) & v4_rlvect_1(C) & -v3_struct_0(C) -> (all D (-v3_struct_0(D) & v12_vectsp_1(D,A) & l4_vectsp_1(D,A) & v6_rlvect_1(D) & v5_rlvect_1(D) & v4_rlvect_1(D) & v3_rlvect_1(D) -> (m1_vectsp_4(C,A,D) & m1_vectsp_4(B,A,C) -> m1_vectsp_4(B,A,D)))))))))) # label(t34_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8696 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_vectsp_4(D,A,B) -> k3_vectsp_4(A,B,C,D) = a_4_1_vectsp_4(A,B,C,D))))))))) # label(d5_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8697 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) -> (all C (v11_vectsp_1(C,A) & m1_vectsp_4(C,A,B) -> (all D (v11_vectsp_1(D,A) & m1_vectsp_4(D,A,B) -> (all E (m2_vectsp_4(E,A,B,C) -> (all F (m2_vectsp_4(F,A,B,D) -> (F = E -> C = D))))))))))))) # label(t86_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8698 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (r2_hidden(k6_vectsp_1(A,B,C,D),k3_vectsp_4(A,B,D,E)) -> r1_rlvect_1(E,D) | k2_group_1(A) = C))))))))))) # label(t72_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8699 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (D = u1_struct_0(C) -> v1_vectsp_4(D,A,B)))))))))) # label(t41_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8700 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (u1_struct_0(B) = C -> v1_vectsp_4(C,A,B)))))))) # label(t8_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8701 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> -(m2_vectsp_4(C,A,B,k1_vectsp_4(A,B)) & (all D (m1_subset_1(D,u1_struct_0(B)) -> k6_domain_1(u1_struct_0(B),D) != C))))))))) # label(t88_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8702 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_vectsp_4(D,A,B) -> (r1_rlvect_1(D,C) <-> r2_hidden(k1_rlvect_1(B),k3_vectsp_4(A,B,C,D))))))))))) # label(t58_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8703 $T # label(t55_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8704 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) & v11_vectsp_1(C,A) -> (k6_domain_1(u1_struct_0(B),k1_rlvect_1(B)) = u1_struct_0(C) <-> k1_vectsp_4(A,B) = C))))))) # label(d3_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8705 (all A all B (v4_rlvect_1(B) & v7_vectsp_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & v4_group_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & l4_vectsp_1(C,B) & v12_vectsp_1(C,B) & v4_rlvect_1(C) & v3_rlvect_1(C) -> (r1_rlvect_1(k1_vectsp_4(B,C),A) <-> k1_rlvect_1(C) = A))))) # label(t46_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8706 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> m1_vectsp_4(k1_vectsp_4(A,B),A,C))))))) # label(t50_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8707 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) & v11_vectsp_1(C,A) -> (all D (m1_vectsp_4(D,A,B) & v11_vectsp_1(D,A) -> (u1_struct_0(D) = u1_struct_0(C) -> D = C))))))))) # label(t37_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8708 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> -(k3_vectsp_4(A,B,C,E) = k3_vectsp_4(A,B,D,E) & (all F (m1_subset_1(F,u1_struct_0(B)) -> -(D = k4_rlvect_1(B,C,F) & r1_rlvect_1(E,F))))))))))))))) # label(t80_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8709 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) -> (all B (v3_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (v1_vectsp_4(C,A,B) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (r2_hidden(D,C) -> r2_hidden(k5_rlvect_1(B,D),C))))))))))) # label(t5_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8710 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> k1_rlvect_1(D) = k1_rlvect_1(C))))))))) # label(t20_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8711 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> -(k3_vectsp_4(A,B,C,E) = k3_vectsp_4(A,B,D,E) & (all F (m1_subset_1(F,u1_struct_0(B)) -> -(r1_rlvect_1(E,F) & D = k6_rlvect_1(B,C,F))))))))))))))) # label(t81_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8712 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m2_vectsp_4(D,A,B,C) -> (v1_vectsp_4(D,A,B) <-> D = u1_struct_0(C)))))))))) # label(t85_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8713 $T # label(t1_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8714 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v11_vectsp_1(B,A) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (v11_vectsp_1(C,A) & m1_vectsp_4(C,A,B) -> ((all D (m1_subset_1(D,u1_struct_0(B)) -> r1_rlvect_1(C,D))) -> C = B))))))) # label(t40_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8715 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (-v3_struct_0(B) & l4_vectsp_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (v1_vectsp_4(C,A,B) <-> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (r2_hidden(E,C) -> r2_hidden(k6_vectsp_1(A,B,D,E),C)))))) & (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (r2_hidden(E,C) & r2_hidden(D,C) -> r2_hidden(k2_rlvect_1(B,D,E),C))))))))))))) # label(d1_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8716 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (v1_vectsp_4(D,A,B) & v1_vectsp_4(C,A,B) -> v1_vectsp_4(k5_subset_1(u1_struct_0(B),C,D),A,B)))))))))) # label(t10_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8717 $T # label(t2_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8718 (all A (v4_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_vectsp_4(D,A,B) -> (r1_rlvect_1(D,C) -> r1_rlvect_1(D,k5_rlvect_1(B,C))))))))))) # label(t30_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8719 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> ((exists E (D = k3_vectsp_4(A,B,E,C) & m1_subset_1(E,u1_struct_0(B)))) <-> m2_vectsp_4(D,A,B,C)))))))))) # label(d6_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8720 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> k2_vectsp_4(A,B) = g4_vectsp_1(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u2_vectsp_1(A,B)))))) # label(d4_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8721 (all A all B (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v3_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & l3_vectsp_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> v11_vectsp_1(k2_vectsp_4(A,B),A) & m1_vectsp_4(k2_vectsp_4(A,B),A,B))) # label(dt_k2_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8722 $T # label(t99_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8723 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (m2_vectsp_4(C,A,B,k2_vectsp_4(A,B)) -> C = u1_struct_0(B)))))))) # label(t91_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8724 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> m2_vectsp_4(u1_struct_0(B),A,B,k2_vectsp_4(A,B)))))) # label(t90_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8725 (all A (v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> ((exists F (r2_hidden(C,F) & r2_hidden(D,F) & m2_vectsp_4(F,A,B,E))) <-> r1_rlvect_1(E,k6_rlvect_1(B,C,D))))))))))))) # label(t96_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8726 (all A all B all C all D (v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v12_vectsp_1(B,A) & m1_vectsp_4(D,A,B) & m1_subset_1(C,u1_struct_0(B)) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> m1_subset_1(k3_vectsp_4(A,B,C,D),k1_zfmisc_1(u1_struct_0(B))))) # label(dt_k3_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8727 (all A (v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> m1_vectsp_4(k1_vectsp_4(A,C),A,D))))))))) # label(t51_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8728 (all A all B (v4_rlvect_1(B) & v4_group_1(B) & l3_vectsp_1(B) & v8_vectsp_1(B) & v7_vectsp_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (v5_rlvect_1(C) & v12_vectsp_1(C,B) & l4_vectsp_1(C,B) & v6_rlvect_1(C) & v4_rlvect_1(C) & v3_rlvect_1(C) & -v3_struct_0(C) -> (all D (m1_vectsp_4(D,B,C) -> (r1_rlvect_1(D,A) -> r1_rlvect_1(C,A)))))))) # label(t17_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8729 (all A all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v4_group_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & v7_vectsp_1(B) & v6_rlvect_1(B) -> (all C (v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v12_vectsp_1(C,B) & l4_vectsp_1(C,B) & -v3_struct_0(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (all E (m1_vectsp_4(E,B,C) -> (r2_hidden(A,k3_vectsp_4(B,C,D,E)) <-> (exists F (m1_subset_1(F,u1_struct_0(C)) & r1_rlvect_1(E,F) & k4_rlvect_1(C,D,F) = A))))))))))) # label(t57_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8730 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (all F (m1_subset_1(F,u1_struct_0(E)) -> (F = D -> k6_vectsp_1(A,E,C,F) = k6_vectsp_1(A,B,C,D)))))))))))))) # label(t22_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8731 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) -> (v1_vectsp_4(D,A,B) & a_4_0_vectsp_4(A,B,C,D) = E & v1_vectsp_4(C,A,B) -> v1_vectsp_4(E,A,B)))))))))))) # label(t9_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8732 $T # label(t77_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8733 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (all F (m1_vectsp_4(F,A,B) -> (r2_hidden(C,k3_vectsp_4(A,B,E,F)) & r2_hidden(C,k3_vectsp_4(A,B,D,F)) -> k3_vectsp_4(A,B,E,F) = k3_vectsp_4(A,B,D,F)))))))))))))) # label(t71_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8734 (all A (v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> r1_rlvect_1(B,k1_rlvect_1(C)))))))) # label(t27_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8735 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> r1_rlvect_1(C,k1_rlvect_1(B)))))))) # label(t25_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8736 $T # label(t43_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8737 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (r1_tarski(u1_struct_0(C),u1_struct_0(D)) -> m1_vectsp_4(C,A,D)))))))))) # label(t35_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8738 (all A all B all C (v3_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & m1_vectsp_4(C,A,B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & -v3_struct_0(B) & l3_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (exists D m2_vectsp_4(D,A,B,C)))) # label(existence_m2_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8739 $T # label(t13_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8740 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (all F (m1_subset_1(F,u1_struct_0(E)) -> (all G (m1_subset_1(G,u1_struct_0(E)) -> (D = G & C = F -> k4_rlvect_1(B,C,D) = k4_rlvect_1(E,F,G)))))))))))))))) # label(t21_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8741 (all A (v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (r1_rlvect_1(E,D) -> r1_rlvect_1(E,k6_vectsp_1(A,B,C,D))))))))))))) # label(t29_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8742 $T # label(t45_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8743 (all A (v3_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_subset_1(E,u1_struct_0(D)) -> (E = C -> k5_rlvect_1(B,C) = k5_rlvect_1(D,E)))))))))))) # label(t23_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8744 (all A all B all C (v3_rlvect_1(A) & v4_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & m1_vectsp_4(C,A,B) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all D (m2_vectsp_4(D,A,B,C) -> m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))))))) # label(dt_m2_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8745 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> k1_vectsp_4(A,D) = k1_vectsp_4(A,C))))))))) # label(t48_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8746 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (all F (m1_subset_1(F,u1_struct_0(E)) -> (all G (m1_subset_1(G,u1_struct_0(E)) -> (D = G & F = C -> k6_rlvect_1(B,C,D) = k6_rlvect_1(E,F,G)))))))))))))))) # label(t24_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8747 $T # label(t12_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8748 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m2_vectsp_4(D,A,B,C) -> (r2_hidden(k1_rlvect_1(B),D) <-> u1_struct_0(C) = D))))))))) # label(t92_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8749 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> k3_vectsp_4(A,B,k1_rlvect_1(B),C) = u1_struct_0(C))))))) # label(t60_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8750 (all A (v5_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & -v3_struct_0(B) -> (all C (v11_vectsp_1(C,A) & m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) & v11_vectsp_1(D,A) -> ((all E (m1_subset_1(E,u1_struct_0(B)) -> (r1_rlvect_1(D,E) <-> r1_rlvect_1(C,E)))) -> D = C))))))))) # label(t38_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8751 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> ((exists F (m1_subset_1(F,u1_struct_0(B)) & r2_hidden(C,k3_vectsp_4(A,B,F,E)) & r2_hidden(D,k3_vectsp_4(A,B,F,E)))) <-> r1_rlvect_1(E,k6_rlvect_1(B,C,D))))))))))))) # label(t79_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8752 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> m1_vectsp_4(k1_vectsp_4(A,C),A,B))))))) # label(t49_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8753 (all A all B (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (exists C m1_vectsp_4(C,A,B)))) # label(existence_m1_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8754 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (v11_vectsp_1(D,A) & m1_vectsp_4(D,A,B) -> (all E (m1_vectsp_4(E,A,B) & v11_vectsp_1(E,A) -> (D = E <-> k3_vectsp_4(A,B,C,E) = k3_vectsp_4(A,B,C,D)))))))))))) # label(t82_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.70	8755 (all A (v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) -> v1_vectsp_4(k6_domain_1(u1_struct_0(B),k1_rlvect_1(B)),A,B))))) # label(t7_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8756 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (r1_rlvect_1(E,C) & r1_rlvect_1(E,D) -> r1_rlvect_1(E,k6_rlvect_1(B,C,D))))))))))))) # label(t31_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8757 $T # label(t101_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8758 (all A all B (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> m1_vectsp_4(k1_vectsp_4(A,B),A,B) & v11_vectsp_1(k1_vectsp_4(A,B),A))) # label(dt_k1_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8759 $T # label(t14_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8760 (all A (v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (r2_hidden(C,k3_vectsp_4(A,B,D,E)) <-> (exists F (k6_rlvect_1(B,D,F) = C & r1_rlvect_1(E,F) & m1_subset_1(F,u1_struct_0(B))))))))))))))) # label(t78_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8761 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (r1_rlvect_1(E,D) -> r2_hidden(k6_vectsp_1(A,B,C,D),k3_vectsp_4(A,B,D,E))))))))))))) # label(t73_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8762 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (r1_rlvect_1(E,D) -> k3_vectsp_4(A,B,k6_vectsp_1(A,B,C,D),E) = u1_struct_0(E)))))))))))) # label(t65_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8763 (all A (l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> m1_subset_1(D,u1_struct_0(B)))))))))) # label(t18_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8764 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (v1_vectsp_4(C,A,B) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (r2_hidden(E,C) & r2_hidden(D,C) -> r2_hidden(k6_rlvect_1(B,D,E),C))))))))))))) # label(t6_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8765 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (r1_rlvect_1(E,D) & r1_rlvect_1(E,C) -> r1_rlvect_1(E,k4_rlvect_1(B,C,D))))))))))))) # label(t28_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8766 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> k1_vectsp_4(A,B) = k1_vectsp_4(A,C))))))) # label(t47_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8767 $T # label(t100_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8768 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m2_vectsp_4(E,A,B,D) -> (r2_hidden(C,E) <-> k3_vectsp_4(A,B,C,D) = E))))))))))) # label(t93_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8769 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) -> (all B (v4_rlvect_1(B) & v6_rlvect_1(B) & v11_vectsp_1(B,A) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> m1_vectsp_4(B,A,k2_vectsp_4(A,B)))))) # label(t53_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8770 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (r2_hidden(k4_rlvect_1(B,C,D),k3_vectsp_4(A,B,D,E)) <-> r1_rlvect_1(E,C)))))))))))) # label(t75_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8771 (all A (v5_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> ((all E (m1_subset_1(E,u1_struct_0(B)) -> (r1_rlvect_1(C,E) -> r1_rlvect_1(D,E)))) -> m1_vectsp_4(C,A,D)))))))))) # label(t36_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8772 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> m2_vectsp_4(k6_domain_1(u1_struct_0(B),C),A,B,k1_vectsp_4(A,B)))))))) # label(t87_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8773 (all A all B (-v3_struct_0(B) & l3_vectsp_1(B) & v8_vectsp_1(B) & v7_vectsp_1(B) & v4_group_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (-v3_struct_0(C) & v4_rlvect_1(C) & v6_rlvect_1(C) & l4_vectsp_1(C,B) & v12_vectsp_1(C,B) & v5_rlvect_1(C) & v3_rlvect_1(C) -> (all D (m1_vectsp_4(D,B,C) -> (all E (m1_vectsp_4(E,B,C) -> (m1_vectsp_4(D,B,E) & r1_rlvect_1(D,A) -> r1_rlvect_1(E,A)))))))))) # label(t16_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8774 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) -> (all B (-v3_struct_0(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> m1_vectsp_4(B,A,B))))) # label(t32_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8775 (all A all B all C all D all E (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v4_group_1(B) & v3_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v12_vectsp_1(C,B) & l4_vectsp_1(C,B) & m1_vectsp_4(E,B,C) & m1_subset_1(D,u1_struct_0(C)) & v4_rlvect_1(C) & -v3_struct_0(C) & l3_vectsp_1(B) & v8_vectsp_1(B) & v7_vectsp_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) -> ((exists F (m1_subset_1(F,u1_struct_0(C)) & k4_rlvect_1(C,D,F) = A & r1_rlvect_1(E,F))) <-> r2_hidden(A,a_4_1_vectsp_4(B,C,D,E))))) # label(fraenkel_a_4_1_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8776 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (k3_vectsp_4(A,B,k6_vectsp_1(A,B,C,D),E) = u1_struct_0(E) -> r1_rlvect_1(E,D) | k1_rlvect_1(A) = C))))))))))) # label(t66_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8777 $T # label(t54_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8778 (all A (v4_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_vectsp_4(D,A,B) -> (k3_vectsp_4(A,B,C,D) = u1_struct_0(D) <-> r1_rlvect_1(D,C)))))))))) # label(t64_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8779 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_vectsp_4(D,A,B) -> r2_hidden(C,k3_vectsp_4(A,B,C,D)))))))))) # label(t59_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8780 $T # label(t52_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8781 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) -> (all B (v3_rlvect_1(B) & v6_rlvect_1(B) & v11_vectsp_1(B,A) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) & v11_vectsp_1(C,A) -> (u1_struct_0(B) = u1_struct_0(C) -> B = C))))))) # label(t39_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8782 (all A (v3_rlvect_1(A) & v7_group_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_vectsp_4(D,A,B) -> (k3_vectsp_4(A,B,k5_rlvect_1(B,C),D) = u1_struct_0(D) <-> r1_rlvect_1(D,C)))))))))) # label(t67_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8783 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_vectsp_4(D,A,B) -> (r2_hidden(k1_rlvect_1(B),k3_vectsp_4(A,B,C,D)) <-> u1_struct_0(D) = k3_vectsp_4(A,B,C,D)))))))))) # label(t63_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8784 $T # label(t44_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8785 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (r1_rlvect_1(E,D) <-> r2_hidden(k6_rlvect_1(B,C,D),k3_vectsp_4(A,B,C,E))))))))))))) # label(t76_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8786 $T # label(t3_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8787 $T # label(t102_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8788 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> m2_vectsp_4(u1_struct_0(C),A,B,C))))))) # label(t89_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8789 $T # label(t15_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8790 $T # label(t11_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8791 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k6_domain_1(u1_struct_0(B),C) = k3_vectsp_4(A,B,C,k1_vectsp_4(A,B)))))))) # label(t61_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8792 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (r1_rlvect_1(E,C) <-> k3_vectsp_4(A,B,D,E) = k3_vectsp_4(A,B,k6_rlvect_1(B,D,C),E)))))))))))) # label(t69_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8793 (all A (v4_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m2_vectsp_4(E,A,B,D) -> (all F (m2_vectsp_4(F,A,B,D) -> (r2_hidden(C,F) & r2_hidden(C,E) -> E = F))))))))))))) # label(t97_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8794 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(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)) -> k6_vectsp_1(A,B,k6_rlvect_1(A,C,D),E) = k6_rlvect_1(B,k6_vectsp_1(A,B,C,E),k6_vectsp_1(A,B,D,E)))))))))))) # label(t103_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8795 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v11_vectsp_1(B,A) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (v4_rlvect_1(C) & v5_rlvect_1(C) & v11_vectsp_1(C,A) & l4_vectsp_1(C,A) & v12_vectsp_1(C,A) & v6_rlvect_1(C) & v3_rlvect_1(C) & -v3_struct_0(C) -> (m1_vectsp_4(C,A,B) & m1_vectsp_4(B,A,C) -> C = B))))))) # label(t33_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8796 (all A all B all C all D all E (v5_rlvect_1(B) & v6_rlvect_1(B) & v4_group_1(B) & v5_rlvect_1(C) & v6_rlvect_1(C) & l4_vectsp_1(C,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) & v12_vectsp_1(C,B) & v4_rlvect_1(C) & v3_rlvect_1(C) & -v3_struct_0(C) & l3_vectsp_1(B) & v8_vectsp_1(B) & v7_vectsp_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (r2_hidden(A,a_4_0_vectsp_4(B,C,D,E)) <-> (exists F exists G (r2_hidden(F,D) & r2_hidden(G,E) & k4_rlvect_1(C,F,G) = A & m1_subset_1(G,u1_struct_0(C)) & m1_subset_1(F,u1_struct_0(C))))))) # label(fraenkel_a_4_0_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8797 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (all F (m2_vectsp_4(F,A,B,E) -> -(r2_hidden(C,F) & (all G (m1_subset_1(G,u1_struct_0(B)) -> -(r1_rlvect_1(E,G) & D = k6_rlvect_1(B,C,G)))) & r2_hidden(D,F)))))))))))))) # label(t95_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8798 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> -(v1_vectsp_4(C,A,B) & (all D (m1_vectsp_4(D,A,B) & v11_vectsp_1(D,A) -> C != u1_struct_0(D))) & k1_xboole_0 != C))))))) # label(t42_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8799 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (r1_rlvect_1(E,C) <-> k3_vectsp_4(A,B,k4_rlvect_1(B,D,C),E) = k3_vectsp_4(A,B,D,E)))))))))))) # label(t68_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8800 $T # label(t43_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8801 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> m1_vectsp_4(k2_vectsp_5(A,B,C,D),A,C) & m1_vectsp_4(k2_vectsp_5(A,B,C,D),A,D))))))))) # label(t20_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8802 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v4_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v11_vectsp_1(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> k2_vectsp_5(A,B,k2_vectsp_4(A,B),k2_vectsp_4(A,B)) = B)))) # label(t28_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8803 (all A all B (-v3_struct_0(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v4_rlvect_1(B) & v8_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> v1_funct_2(k5_vectsp_5(A,B),k2_zfmisc_1(k3_vectsp_5(A,B),k3_vectsp_5(A,B)),k3_vectsp_5(A,B)) & m2_relset_1(k5_vectsp_5(A,B),k2_zfmisc_1(k3_vectsp_5(A,B),k3_vectsp_5(A,B)),k3_vectsp_5(A,B)) & v1_funct_1(k5_vectsp_5(A,B)))) # label(dt_k5_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8804 $T # label(t45_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8805 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> k1_vectsp_4(A,B) = k2_vectsp_5(A,B,C,k1_vectsp_4(A,B)) & k2_vectsp_5(A,B,k1_vectsp_4(A,B),C) = k1_vectsp_4(A,B))))))) # label(t25_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8806 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_vectsp_4(E,A,B) -> (m1_vectsp_4(C,A,D) -> k2_vectsp_5(A,B,k1_vectsp_5(A,B,C,D),k1_vectsp_5(A,B,D,E)) = k1_vectsp_5(A,B,D,k2_vectsp_5(A,B,C,E))))))))))))) # label(t35_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8807 $T # label(t71_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8808 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v7_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v3_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_5(D,A,B,C) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> k2_domain_1(u1_struct_0(B),u1_struct_0(B),k4_vectsp_5(A,B,E,C,D)) = k3_domain_1(u1_struct_0(B),u1_struct_0(B),k4_vectsp_5(A,B,E,D,C)))))))))))) # label(t69_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8809 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v3_rlvect_1(A) -> (all B (v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_vectsp_4(E,A,B) -> (m1_vectsp_4(C,A,D) -> m1_vectsp_4(C,A,k1_vectsp_5(A,B,D,E))))))))))))) # label(t39_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8810 (all A all B all C (v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & m1_vectsp_4(C,A,B) & l4_vectsp_1(B,A) & v9_vectsp_1(A) & v7_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (exists D m1_vectsp_5(D,A,B,C)))) # label(existence_m1_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8811 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_5(D,A,B,C) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> k3_domain_1(u1_struct_0(B),u1_struct_0(B),k4_vectsp_5(A,B,E,C,D)) = k2_domain_1(u1_struct_0(B),u1_struct_0(B),k4_vectsp_5(A,B,E,D,C)))))))))))) # label(t70_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8812 (all A all B all C all D (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & m1_vectsp_4(C,A,B) & m1_vectsp_4(D,A,B) & l4_vectsp_1(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> v11_vectsp_1(k1_vectsp_5(A,B,C,D),A) & m1_vectsp_4(k1_vectsp_5(A,B,C,D),A,B))) # label(dt_k1_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8813 (all A (-v3_struct_0(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (r1_vectsp_5(A,B,C,D) -> k2_domain_1(u1_struct_0(B),u1_struct_0(B),k4_vectsp_5(A,B,E,D,C)) = k3_domain_1(u1_struct_0(B),u1_struct_0(B),k4_vectsp_5(A,B,E,C,D))))))))))))) # label(t65_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8814 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_vectsp_4(E,A,B) -> (m1_vectsp_4(C,A,D) & m1_vectsp_4(C,A,E) -> m1_vectsp_4(C,A,k2_vectsp_5(A,B,D,E))))))))))))) # label(t24_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8815 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_5(D,A,B,C) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (all F (m1_subset_1(F,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))) -> (r1_rlvect_1(D,k3_domain_1(u1_struct_0(B),u1_struct_0(B),F)) & r1_rlvect_1(C,k2_domain_1(u1_struct_0(B),u1_struct_0(B),F)) & k4_rlvect_1(B,k2_domain_1(u1_struct_0(B),u1_struct_0(B),F),k3_domain_1(u1_struct_0(B),u1_struct_0(B),F)) = E -> k4_vectsp_5(A,B,E,C,D) = F))))))))))))) # label(t66_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8816 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> r1_vectsp_5(A,B,k1_vectsp_4(A,B),k2_vectsp_4(A,B)) & r1_vectsp_5(A,B,k2_vectsp_4(A,B),k1_vectsp_4(A,B)))))) # label(t52_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8817 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_group_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v9_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) -> -v3_struct_0(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & v15_lattices(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & l3_lattices(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & v16_lattices(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & v10_lattices(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))))))) # label(t80_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8818 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> -((exists E (u1_struct_0(E) = k2_xboole_0(u1_struct_0(C),u1_struct_0(D)) & m1_vectsp_4(E,A,B))) & -m1_vectsp_4(C,A,D) & -m1_vectsp_4(D,A,C)) & -((m1_vectsp_4(C,A,D) | m1_vectsp_4(D,A,C)) & (all E (m1_vectsp_4(E,A,B) -> k2_xboole_0(u1_struct_0(C),u1_struct_0(D)) != u1_struct_0(E)))))))))))) # label(t41_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8819 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v11_vectsp_1(B,A) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (k1_vectsp_5(A,B,C,D) = B <-> (all E (m1_subset_1(E,u1_struct_0(B)) -> (exists F ((exists G (r1_rlvect_1(C,F) & E = k4_rlvect_1(B,F,G) & r1_rlvect_1(D,G) & m1_subset_1(G,u1_struct_0(B)))) & m1_subset_1(F,u1_struct_0(B))))))))))))))) # label(t57_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8820 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v9_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_5(D,A,B,C) -> g4_vectsp_1(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u2_vectsp_1(A,B)) = k1_vectsp_5(A,B,C,D) & k1_vectsp_5(A,B,D,C) = g4_vectsp_1(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u2_vectsp_1(A,B)))))))))) # label(t49_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8821 (all A all B all C all D all E (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & m1_subset_1(C,u1_struct_0(B)) & m1_vectsp_4(E,A,B) & m1_vectsp_4(D,A,B) & v6_rlvect_1(B) & v5_rlvect_1(B) -> m1_subset_1(k4_vectsp_5(A,B,C,D,E),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))))) # label(dt_k4_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8822 $T # label(t62_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8823 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_vectsp_4(E,A,B) -> (m1_vectsp_4(C,A,D) -> k2_vectsp_5(A,B,D,k1_vectsp_5(A,B,C,E)) = k1_vectsp_5(A,B,k2_vectsp_5(A,B,C,D),k2_vectsp_5(A,B,D,E))))))))))))) # label(t33_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8824 $T # label(t72_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8825 $T # label(t60_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8826 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (B = k1_vectsp_5(A,B,C,D) -> r1_vectsp_5(A,B,C,D) | (all E (m1_subset_1(E,u1_struct_0(B)) -> (exists F (m1_subset_1(F,u1_struct_0(B)) & (exists G (m1_subset_1(G,u1_struct_0(B)) & (exists H (m1_subset_1(H,u1_struct_0(B)) & (exists I (m1_subset_1(I,u1_struct_0(B)) & E = k4_rlvect_1(B,F,G) & k4_rlvect_1(B,H,I) = E & r1_rlvect_1(C,H) & r1_rlvect_1(D,G) & -(H = F & G = I) & r1_rlvect_1(D,I) & r1_rlvect_1(C,F)))))))))))))))))))) # label(t59_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8827 $T # label(t18_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8828 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> m1_vectsp_4(k2_vectsp_5(A,B,C,D),A,k1_vectsp_5(A,B,C,D)))))))))) # label(t29_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8829 (all A (v4_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v7_vectsp_1(A) & v7_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> m1_vectsp_5(k2_vectsp_4(A,B),A,B,k1_vectsp_4(A,B)) & m1_vectsp_5(k1_vectsp_4(A,B),A,B,k2_vectsp_4(A,B)))))) # label(t54_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8830 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v6_rlvect_1(B) & v11_vectsp_1(B,A) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> k1_vectsp_5(A,B,k2_vectsp_4(A,B),k2_vectsp_4(A,B)) = B)))) # label(t16_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8831 $T # label(t61_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8832 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> k1_vectsp_5(A,B,D,C) = k1_vectsp_5(A,B,C,D))))))))) # label(t9_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8833 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (C = k3_vectsp_5(A,B) <-> (all D ((exists E (m1_vectsp_4(E,A,B) & D = E & v11_vectsp_1(E,A))) <-> r2_hidden(D,C))))))))) # label(d3_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8834 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (r1_vectsp_5(A,B,C,D) -> k3_domain_1(u1_struct_0(B),u1_struct_0(B),k4_vectsp_5(A,B,E,D,C)) = k2_domain_1(u1_struct_0(B),u1_struct_0(B),k4_vectsp_5(A,B,E,C,D))))))))))))) # label(t64_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8835 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (r1_rlvect_1(k2_vectsp_5(A,B,C,D),E) <-> r1_rlvect_1(C,E) & r1_rlvect_1(D,E))))))))))) # label(t7_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8836 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (v11_vectsp_1(E,A) & m1_vectsp_4(E,A,B) -> (u1_struct_0(E) = a_4_0_vectsp_5(A,B,C,D) <-> E = k1_vectsp_5(A,B,C,D)))))))))))) # label(d1_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8837 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m2_vectsp_4(E,A,B,C) -> (all F (m2_vectsp_4(F,A,B,D) -> (-r1_xboole_0(E,F) -> m2_vectsp_4(k5_subset_1(u1_struct_0(B),E,F),A,B,k2_vectsp_5(A,B,C,D))))))))))))))) # label(t55_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8838 $T # label(t74_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8839 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (v11_vectsp_1(D,A) & m1_vectsp_4(D,A,B) -> (all E (m1_vectsp_4(E,A,B) & v11_vectsp_1(E,A) -> (m1_vectsp_4(C,A,D) -> m1_vectsp_4(k1_vectsp_5(A,B,C,E),A,k1_vectsp_5(A,B,D,E))))))))))))) # label(t38_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8840 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_vectsp_4(E,A,B) -> m1_vectsp_4(k1_vectsp_5(A,B,k2_vectsp_5(A,B,C,D),k2_vectsp_5(A,B,D,E)),A,k2_vectsp_5(A,B,D,k1_vectsp_5(A,B,C,E))))))))))))) # label(t32_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8841 (all A all B (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & -v3_struct_0(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & l3_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> v1_funct_1(k6_vectsp_5(A,B)) & v1_funct_2(k6_vectsp_5(A,B),k2_zfmisc_1(k3_vectsp_5(A,B),k3_vectsp_5(A,B)),k3_vectsp_5(A,B)) & m2_relset_1(k6_vectsp_5(A,B),k2_zfmisc_1(k3_vectsp_5(A,B),k3_vectsp_5(A,B)),k3_vectsp_5(A,B)))) # label(dt_k6_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8842 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (D = k2_vectsp_5(A,B,D,C) -> m1_vectsp_4(D,A,C)))) & (all D (m1_vectsp_4(D,A,B) & v11_vectsp_1(D,A) -> (m1_vectsp_4(D,A,C) -> D = k2_vectsp_5(A,B,D,C)))))))))) # label(t21_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.71	8843 (all A (v5_rlvect_1(A) & v4_group_1(A) & v7_group_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (r1_vectsp_5(A,B,C,D) -> m1_vectsp_5(D,A,B,C)))))))))) # label(t47_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8844 (all A all B all C (-v3_struct_0(A) & v7_group_1(A) & v8_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & m1_vectsp_4(C,A,B) & l4_vectsp_1(B,A) & v9_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all D (m1_vectsp_5(D,A,B,C) -> m1_vectsp_4(D,A,B))))) # label(dt_m1_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8845 (all A all B all C all D all E (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_vectsp_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & -v3_struct_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v12_vectsp_1(C,B) & l4_vectsp_1(C,B) & m1_vectsp_4(E,B,C) & m1_vectsp_4(D,B,C) & v4_group_1(B) & v4_rlvect_1(B) -> ((exists F exists G (m1_subset_1(F,u1_struct_0(C)) & m1_subset_1(G,u1_struct_0(C)) & r1_rlvect_1(E,G) & r1_rlvect_1(D,F) & A = k4_rlvect_1(C,F,G))) <-> r2_hidden(A,a_4_0_vectsp_5(B,C,D,E))))) # label(fraenkel_a_4_0_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8846 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) & v11_vectsp_1(D,A) -> D = k2_vectsp_5(A,B,D,k1_vectsp_5(A,B,D,C)))))))))) # label(t31_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8847 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_vectsp_4(E,A,B) -> (m1_vectsp_4(E,A,D) & m1_vectsp_4(C,A,D) -> m1_vectsp_4(k1_vectsp_5(A,B,C,E),A,D)))))))))))) # label(t40_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8848 (all A (-v3_struct_0(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> -v3_struct_0(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & v13_lattices(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & l3_lattices(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & v10_lattices(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))))))) # label(t76_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8849 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m2_relset_1(C,k2_zfmisc_1(k3_vectsp_5(A,B),k3_vectsp_5(A,B)),k3_vectsp_5(A,B)) & v1_funct_2(C,k2_zfmisc_1(k3_vectsp_5(A,B),k3_vectsp_5(A,B)),k3_vectsp_5(A,B)) & v1_funct_1(C) -> ((all D (m1_subset_1(D,k3_vectsp_5(A,B)) -> (all E (m1_subset_1(E,k3_vectsp_5(A,B)) -> (all F (m1_vectsp_4(F,A,B) -> (all G (m1_vectsp_4(G,A,B) -> (E = G & D = F -> k2_binop_1(k3_vectsp_5(A,B),k3_vectsp_5(A,B),k3_vectsp_5(A,B),C,D,E) = k2_vectsp_5(A,B,F,G)))))))))) <-> C = k6_vectsp_5(A,B)))))))) # label(d8_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8850 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_group_1(A) & v8_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v9_vectsp_1(A) & v7_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_5(D,A,B,C) -> r1_vectsp_5(A,B,C,D) & r1_vectsp_5(A,B,D,C))))))))) # label(t48_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8851 $T # label(t1_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8852 (all A (v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (r1_vectsp_5(A,B,C,D) -> r1_vectsp_5(A,B,D,C)))))))))) # label(t51_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8853 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (r1_vectsp_5(A,B,C,D) <-> (all E (m2_vectsp_4(E,A,B,C) -> (all F (m2_vectsp_4(F,A,B,D) -> (exists G (k5_subset_1(u1_struct_0(B),E,F) = k6_domain_1(u1_struct_0(B),G) & m1_subset_1(G,u1_struct_0(B))))))))))))))))) # label(t56_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8854 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> l3_lattices(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & v12_lattices(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & v10_lattices(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & -v3_struct_0(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))))))) # label(t79_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8855 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (r1_rlvect_1(k1_vectsp_5(A,B,C,D),E) <-> (exists F ((exists G (E = k4_rlvect_1(B,F,G) & r1_rlvect_1(D,G) & r1_rlvect_1(C,F) & m1_subset_1(G,u1_struct_0(B)))) & m1_subset_1(F,u1_struct_0(B)))))))))))))) # label(t5_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8856 $T # label(dt_k3_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8857 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_vectsp_4(E,A,B) & v11_vectsp_1(E,A) -> (k2_vectsp_5(A,B,C,D) = E <-> u1_struct_0(E) = k3_xboole_0(u1_struct_0(C),u1_struct_0(D))))))))))))) # label(d2_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8858 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) & v11_vectsp_1(C,A) -> (all D (v11_vectsp_1(D,A) & m1_vectsp_4(D,A,B) -> (C = k2_vectsp_5(A,B,C,D) <-> k1_vectsp_5(A,B,C,D) = D))))))))) # label(t37_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8859 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v3_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) & v11_vectsp_1(C,A) -> C = k1_vectsp_5(A,B,k1_vectsp_4(A,B),C) & C = k1_vectsp_5(A,B,C,k1_vectsp_4(A,B)))))))) # label(t13_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8860 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (r1_rlvect_1(C,E) | r1_rlvect_1(D,E) -> r1_rlvect_1(k1_vectsp_5(A,B,C,D),E)))))))))))) # label(t6_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8861 $T # label(t46_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8862 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) -> (all B (v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (r1_vectsp_5(A,B,C,D) <-> k1_vectsp_5(A,B,C,D) = g4_vectsp_1(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u2_vectsp_1(A,B)) & k1_vectsp_4(A,B) = k2_vectsp_5(A,B,C,D)))))))))) # label(d4_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8863 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_vectsp_4(E,A,B) -> m1_vectsp_4(k1_vectsp_5(A,B,C,k2_vectsp_5(A,B,D,E)),A,k2_vectsp_5(A,B,k1_vectsp_5(A,B,D,C),k1_vectsp_5(A,B,C,E))))))))))))) # label(t34_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8864 $T # label(t73_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8865 (all A all B (v5_rlvect_1(A) & l3_vectsp_1(A) & v4_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> -v1_xboole_0(k3_vectsp_5(A,B)))) # label(fc1_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8866 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> v10_lattices(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & l3_lattices(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & v14_lattices(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & -v3_struct_0(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))))))) # label(t77_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8867 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_vectsp_4(E,A,B) -> (m1_vectsp_4(C,A,D) -> m1_vectsp_4(k2_vectsp_5(A,B,C,E),A,D)))))))))))) # label(t23_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8868 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_5(D,A,B,C) -> m1_vectsp_5(C,A,B,D))))))))) # label(t53_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8869 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_vectsp_4(E,A,B) -> k2_vectsp_5(A,B,k2_vectsp_5(A,B,C,D),E) = k2_vectsp_5(A,B,C,k2_vectsp_5(A,B,D,E)))))))))))) # label(t19_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8870 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & -v3_struct_0(B) -> (all C (v11_vectsp_1(C,A) & m1_vectsp_4(C,A,B) -> C = k2_vectsp_5(A,B,C,C))))))) # label(t17_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8871 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_5(D,A,B,C) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> E = k4_rlvect_1(B,k2_domain_1(u1_struct_0(B),u1_struct_0(B),k4_vectsp_5(A,B,E,C,D)),k3_domain_1(u1_struct_0(B),u1_struct_0(B),k4_vectsp_5(A,B,E,C,D))))))))))))) # label(t67_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8872 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) -> l3_lattices(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & v10_lattices(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & -v3_struct_0(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))))))) # label(t75_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8873 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_vectsp_4(E,A,B) -> (r1_vectsp_5(A,B,D,E) -> (all F (m1_subset_1(F,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))) -> (C = k4_rlvect_1(B,k2_domain_1(u1_struct_0(B),u1_struct_0(B),F),k3_domain_1(u1_struct_0(B),u1_struct_0(B),F)) & r1_rlvect_1(E,k3_domain_1(u1_struct_0(B),u1_struct_0(B),F)) & r1_rlvect_1(D,k2_domain_1(u1_struct_0(B),u1_struct_0(B),F)) <-> F = k4_vectsp_5(A,B,C,D,E))))))))))))))) # label(d6_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8874 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (v11_vectsp_1(E,A) & m1_vectsp_4(E,A,B) -> (m1_vectsp_4(E,A,C) -> k1_vectsp_5(A,B,E,k2_vectsp_5(A,B,D,C)) = k2_vectsp_5(A,B,k1_vectsp_5(A,B,E,D),C)))))))))))) # label(t36_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8875 (all A (v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_vectsp_4(E,A,B) -> (m1_vectsp_4(C,A,D) -> m1_vectsp_4(k2_vectsp_5(A,B,C,E),A,k2_vectsp_5(A,B,D,E))))))))))))) # label(t22_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8876 (all A (-v3_struct_0(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) -> (all C (v11_vectsp_1(C,A) & m1_vectsp_4(C,A,B) -> C = k2_vectsp_5(A,B,C,k2_vectsp_4(A,B)) & k2_vectsp_5(A,B,k2_vectsp_4(A,B),C) = C)))))) # label(t27_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8877 (all A all B all C all D (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & m1_vectsp_4(C,A,B) & m1_vectsp_4(D,A,B) & v4_rlvect_1(B) & v7_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> k2_vectsp_5(A,B,D,C) = k2_vectsp_5(A,B,C,D))) # label(commutativity_k2_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8878 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_5(D,A,B,C) -> k2_vectsp_5(A,B,D,C) = k1_vectsp_4(A,B) & k1_vectsp_4(A,B) = k2_vectsp_5(A,B,C,D))))))))) # label(t50_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8879 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v11_vectsp_1(B,A) & v3_rlvect_1(B) -> r2_hidden(B,k3_vectsp_5(A,B)))))) # label(t44_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8880 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) & v11_vectsp_1(C,A) -> C = k1_vectsp_5(A,B,C,C))))))) # label(t8_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8881 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> g4_vectsp_1(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u2_vectsp_1(A,B)) = k1_vectsp_5(A,B,C,k2_vectsp_4(A,B)) & k1_vectsp_5(A,B,k2_vectsp_4(A,B),C) = g4_vectsp_1(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u2_vectsp_1(A,B)))))))) # label(t15_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8882 $T # label(t42_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8883 $T # label(t2_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8884 (all A (-v3_struct_0(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) & v11_vectsp_1(D,A) -> D = k1_vectsp_5(A,B,k2_vectsp_5(A,B,C,D),D))))))))) # label(t30_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8885 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v4_rlvect_1(B) -> (all C (v1_funct_2(C,k2_zfmisc_1(k3_vectsp_5(A,B),k3_vectsp_5(A,B)),k3_vectsp_5(A,B)) & m2_relset_1(C,k2_zfmisc_1(k3_vectsp_5(A,B),k3_vectsp_5(A,B)),k3_vectsp_5(A,B)) & v1_funct_1(C) -> (k5_vectsp_5(A,B) = C <-> (all D (m1_subset_1(D,k3_vectsp_5(A,B)) -> (all E (m1_subset_1(E,k3_vectsp_5(A,B)) -> (all F (m1_vectsp_4(F,A,B) -> (all G (m1_vectsp_4(G,A,B) -> (E = G & F = D -> k2_binop_1(k3_vectsp_5(A,B),k3_vectsp_5(A,B),k3_vectsp_5(A,B),C,D,E) = k1_vectsp_5(A,B,F,G))))))))))))))))) # label(d7_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8886 (all A (v7_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (m1_vectsp_5(D,A,B,C) <-> r1_vectsp_5(A,B,D,C)))))))))) # label(d5_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8887 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (all F (m1_subset_1(F,u1_struct_0(B)) -> (all G (m1_subset_1(G,u1_struct_0(B)) -> (all H (m1_subset_1(H,u1_struct_0(B)) -> (all I (m1_subset_1(I,u1_struct_0(B)) -> (r1_rlvect_1(C,H) & r1_rlvect_1(D,I) & r1_rlvect_1(D,G) & r1_rlvect_1(C,F) & k4_rlvect_1(B,H,I) = E & k4_rlvect_1(B,F,G) = E & r1_vectsp_5(A,B,C,D) -> F = H & G = I))))))))))))))))))) # label(t58_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8888 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v4_rlvect_1(B) -> -v3_struct_0(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & v15_lattices(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & l3_lattices(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & v10_lattices(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))))))) # label(t78_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8889 (all A (v3_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> g4_vectsp_1(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u2_vectsp_1(A,B)) = k1_vectsp_5(A,B,k2_vectsp_4(A,B),k1_vectsp_4(A,B)) & k1_vectsp_5(A,B,k1_vectsp_4(A,B),k2_vectsp_4(A,B)) = g4_vectsp_1(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u2_vectsp_1(A,B)))))) # label(t14_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8890 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v7_vectsp_1(A) & v7_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_5(D,A,B,C) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> r1_rlvect_1(D,k3_domain_1(u1_struct_0(B),u1_struct_0(B),k4_vectsp_5(A,B,E,C,D))) & r1_rlvect_1(C,k2_domain_1(u1_struct_0(B),u1_struct_0(B),k4_vectsp_5(A,B,E,C,D))))))))))))) # label(t68_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8891 $T # label(t26_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8892 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_vectsp_4(E,A,B) -> k1_vectsp_5(A,B,k1_vectsp_5(A,B,C,D),E) = k1_vectsp_5(A,B,C,k1_vectsp_5(A,B,D,E)))))))))))) # label(t10_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8893 (all A all B all C all D (v3_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v12_vectsp_1(B,A) & m1_vectsp_4(D,A,B) & m1_vectsp_4(C,A,B) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> v11_vectsp_1(k2_vectsp_5(A,B,C,D),A) & m1_vectsp_4(k2_vectsp_5(A,B,C,D),A,B))) # label(dt_k2_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8894 $T # label(t3_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8895 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> m1_vectsp_4(C,A,k1_vectsp_5(A,B,C,D)) & m1_vectsp_4(D,A,k1_vectsp_5(A,B,C,D)))))))))) # label(t11_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8896 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (v4_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (v11_vectsp_1(D,A) & m1_vectsp_4(D,A,B) -> (D = k1_vectsp_5(A,B,C,D) <-> m1_vectsp_4(C,A,D)))))))))) # label(t12_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8897 $T # label(t4_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8898 $T # label(t63_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8899 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(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_group_3(A,B,C) <-> r4_group_3(A,k6_domain_1(u1_struct_0(A),B),k6_domain_1(u1_struct_0(A),C))))))))) # label(t108_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8900 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(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,k1_zfmisc_1(u1_struct_0(A))) -> k5_group_3(A,k3_group_2(A,C,D),B) = k5_group_3(A,D,k2_group_3(A,B,C)))))))))) # label(t58_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8901 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> k11_group_3(A,B) = k10_group_3(A,k7_group_2(A,B)))))) # label(d15_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8902 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> r1_tarski(k13_group_2(A,B,C),k12_group_2(A,B,C)))) <-> v1_group_3(B,A) & m1_group_2(B,A)))))) # label(t142_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8903 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> -v1_xboole_0(k1_group_3(A)))) # label(fc1_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8904 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (B != k1_xboole_0 -> k5_group_3(A,B,k2_group_1(A)) = k6_domain_1(u1_struct_0(A),k2_group_1(A))))))) # label(t62_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8905 (all A all B (-v3_struct_0(A) & m1_group_2(B,A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> m1_subset_1(k9_group_3(A,B),k1_zfmisc_1(k1_group_3(A))))) # label(dt_k9_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8906 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all 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))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(D,E) & r1_tarski(B,C) -> r1_tarski(k2_group_2(A,B,D),k2_group_2(A,C,E))))))))))))) # label(t4_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8907 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(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)) -> k9_domain_1(u1_struct_0(A),k2_group_3(A,B,D),k2_group_3(A,B,E),k2_group_3(A,C,D),k2_group_3(A,C,E)) = k3_group_3(A,k7_domain_1(u1_struct_0(A),B,C),k7_domain_1(u1_struct_0(A),D,E)))))))))))) # label(t47_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8908 (all A all B all C (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v4_group_1(B) -> ((exists D (r4_group_3(B,C,D) & D = A & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))))) <-> r2_hidden(A,a_2_1_group_3(B,C))))) # label(fraenkel_a_2_1_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8909 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k16_group_2(A,k10_group_3(A,B)) = k1_card_1(k8_group_3(A,B)))))) # label(t155_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8910 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(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)) -> (B != k1_xboole_0 -> k5_group_3(A,B,C) = k6_domain_1(u1_struct_0(A),C)))))) <-> -v3_struct_0(A) & v7_group_1(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A)))) # label(t67_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8911 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) & v1_group_1(C) -> (A = k6_group_3(A,C,B) -> A = C))))))) # label(t83_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8912 (all A all B all C (-v3_struct_0(A) & v4_group_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & l1_group_1(A) & v3_group_1(A) -> (r4_group_3(A,B,C) -> r4_group_3(A,C,B)))) # label(symmetry_r4_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8913 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all 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))) -> ((exists D (B = k4_group_3(A,C,D) & m1_subset_1(D,u1_struct_0(A)))) <-> r3_group_3(A,B,C)))))))) # label(d9_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8914 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k2_group_3(A,B,C) = B <-> k1_group_1(A,B,C) = k1_group_1(A,C,B)))))))) # label(t27_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8915 $T # label(t126_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8916 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> k1_card_1(k9_group_3(A,B)) = k16_group_2(A,k11_group_3(A,B)))))) # label(t161_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8917 (all A all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) -> (all C (m1_group_2(C,B) & v1_group_1(C) -> ((exists D (D = A & r1_group_2(B,k6_group_3(B,C,D),C) & m1_subset_1(D,u1_struct_0(B)))) <-> r1_rlvect_1(k11_group_3(B,C),A)))))) # label(t160_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8918 $T # label(t125_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8919 (all A all B (v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> ((exists D (m1_subset_1(D,u1_struct_0(B)) & D = A & k4_group_3(B,C,D) = C)) <-> r1_rlvect_1(k10_group_3(B,C),A)))))) # label(t154_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8920 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(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)) -> k3_group_3(A,B,k6_domain_1(u1_struct_0(A),C)) = k4_group_3(A,B,C))))))) # label(d4_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8921 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(k5_group_3(A,C,B),k2_group_2(A,k4_group_2(A,B,k1_group_2(A,C)),C)))))))) # label(t52_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8922 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B ((all C (r2_hidden(C,B) <-> m1_group_2(C,A) & v1_group_1(C))) <-> B = k1_group_3(A))))) # label(d1_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8923 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> r2_hidden(B,k9_group_3(A,B)))))) # label(t130_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8924 (all A all B (v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (r2_hidden(A,k7_group_3(B,C)) <-> (exists D (m1_subset_1(D,u1_struct_0(B)) & r2_group_3(B,C,D) & A = D))))))) # label(t95_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8925 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_group_2(D,A) & v1_group_1(D) -> (u1_struct_0(D) = k4_group_3(A,k7_group_2(A,B),C) <-> D = k6_group_3(A,B,C)))))))))) # label(d6_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8926 (all A all B all C (v3_group_1(A) & v4_group_1(A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_group_1(A) & -v3_struct_0(A) -> r4_group_3(A,B,B))) # label(reflexivity_r4_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8927 (all A all B (v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_group_2(D,B) -> ((exists E (k2_group_3(B,E,C) = A & r1_rlvect_1(D,E) & m1_subset_1(E,u1_struct_0(B)))) <-> r1_rlvect_1(k6_group_3(B,D,C),A)))))))) # label(t70_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8928 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(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_group_3(A,k6_domain_1(u1_struct_0(A),B),k7_domain_1(u1_struct_0(A),C,D)) = k7_domain_1(u1_struct_0(A),k2_group_3(A,B,C),k2_group_3(A,B,D)))))))))) # label(t45_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.72	8929 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) & v1_group_1(B) -> (all C (v1_group_1(C) & m1_group_2(C,A) -> ((exists D (m1_subset_1(D,u1_struct_0(A)) & r1_group_2(A,C,k6_group_3(A,B,D)))) <-> r5_group_3(A,B,C)))))))) # label(t121_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8930 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) & v1_group_1(C) -> (r1_group_2(A,k6_group_3(A,C,B),k5_group_2(A)) -> r1_group_2(A,C,k5_group_2(A))))))))) # label(t81_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8931 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all 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))) -> ((exists D (C = k4_group_3(A,B,D) & m1_subset_1(D,u1_struct_0(A)))) <-> r3_group_3(A,B,C)))))))) # label(t104_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8932 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v1_group_1(A) -> r2_hidden(A,k1_group_3(A)))) # label(t18_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8933 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k2_group_3(A,B,C) = k2_group_1(A) -> B = k2_group_1(A)))))))) # label(t23_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8934 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -((v1_finset_1(k8_group_3(A,B)) | v1_finset_1(k14_group_2(A,k10_group_3(A,B)))) & (all C (v1_finset_1(C) -> -(k17_group_2(A,k10_group_3(A,B)) = k4_card_1(C) & k8_group_3(A,B) = C)))))))) # label(t156_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8935 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> k10_group_2(A,C,k6_domain_1(u1_struct_0(A),B)) = k12_group_2(A,C,B))))))) # label(t7_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8936 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r2_hidden(B,k7_group_3(A,B)))))) # label(t98_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8937 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_group_3(A))) -> ((all D ((exists E (E = D & r5_group_3(A,B,E) & m1_group_2(E,A) & v1_group_1(E))) <-> r2_hidden(D,C))) <-> k9_group_3(A,B) = C))))))) # label(d12_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8938 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> m1_group_2(B,k6_group_3(A,B,C)))) <-> m1_group_2(B,A) & v1_group_3(B,A)))))) # label(t144_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8939 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r1_group_2(A,k6_group_3(A,k6_group_2(A),B),k6_group_2(A)))))) # label(t82_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8940 $T # label(t31_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8941 $T # label(t110_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8942 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> k13_group_2(A,B,C) = k12_group_2(A,B,C))) <-> v1_group_3(B,A) & m1_group_2(B,A)))))) # label(t140_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8943 (all A all B all C (v3_group_1(A) & v4_group_1(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l1_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k2_group_3(A,B,C),u1_struct_0(A)))) # label(dt_k2_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8944 (all A all B all C all D (v4_group_1(B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> ((exists E exists F (r2_hidden(F,D) & r2_hidden(E,C) & A = k2_group_3(B,E,F) & m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)))) <-> r2_hidden(A,a_3_0_group_3(B,C,D))))) # label(fraenkel_a_3_0_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8945 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_group_2(D,A) -> k10_group_2(A,D,k3_group_2(A,B,C)) = k3_group_2(A,B,k10_group_2(A,D,C)))))))))) # label(t9_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8946 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) & v1_group_1(B) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> m1_group_2(k6_group_3(A,B,C),B))) <-> m1_group_2(B,A) & v1_group_3(B,A)))))) # label(t145_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8947 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(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_group_3(A,B,C))))) -> v7_group_1(A)))) # label(t36_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8948 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) & v1_group_1(B) -> (all C (m1_group_2(C,A) & v1_group_1(C) -> (-r1_xboole_0(k9_group_3(A,B),k9_group_3(A,C)) <-> k9_group_3(A,B) = k9_group_3(A,C)))))))) # label(t132_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8949 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all 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))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> k3_group_3(A,B,k2_group_2(A,C,D)) = k3_group_3(A,k3_group_3(A,B,C),D))))))))) # label(t42_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8950 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> k11_group_2(A,C,k6_domain_1(u1_struct_0(A),B)) = k13_group_2(A,C,B))))))) # label(t8_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8951 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> r3_group_3(A,B,B))))) # label(t105_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8952 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> (v6_group_1(C) -> k9_group_1(C) = k9_group_1(k6_group_3(A,C,B))))))))) # label(t79_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8953 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(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_group_3(A,B,k1_group_1(A,C,D)) = k2_group_3(A,k2_group_3(A,B,C),D))))))))) # label(t29_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8954 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k2_group_2(A,k7_group_3(A,B),C) = k2_group_2(A,C,k7_group_3(A,B)))))))) # label(t102_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8955 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(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_group_2(D,A) -> r1_group_2(A,k6_group_3(A,k6_group_3(A,D,B),C),k6_group_3(A,D,k1_group_1(A,B,C))))))))))) # label(t72_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8956 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> k16_group_2(A,C) = k16_group_2(A,k6_group_3(A,C,B)))))))) # label(t84_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8957 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(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,k7_group_3(A,C)) -> r2_hidden(C,k7_group_3(A,B))))))))) # label(t99_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8958 (all A all B all C (v3_group_1(A) & v1_group_1(B) & m1_group_2(C,A) & v1_group_1(C) & m1_group_2(B,A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (r5_group_3(A,B,C) <-> r6_group_3(A,B,C)))) # label(redefinition_r6_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8959 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k2_group_1(A) = k2_group_3(A,k2_group_1(A),B))))) # label(t22_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8960 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> k3_group_3(A,k5_group_3(A,C,B),D) = k5_group_3(A,k2_group_2(A,C,D),B))))))))) # label(t55_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8961 (all A all B all C (-v3_struct_0(B) & v3_group_1(B) & m1_subset_1(C,u1_struct_0(B)) & l1_group_1(B) & v4_group_1(B) -> ((exists D (m1_subset_1(D,u1_struct_0(B)) & r2_group_3(B,C,D) & D = A)) <-> r2_hidden(A,a_2_0_group_3(B,C))))) # label(fraenkel_a_2_0_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8962 $T # label(t135_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8963 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) & v1_group_1(C) -> r2_hidden(k6_group_3(A,C,B),k9_group_3(A,C)))))))) # label(t129_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8964 $T # label(t94_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8965 (all A all B all C (-v3_struct_0(A) & v4_group_1(A) & m1_group_2(B,A) & m1_subset_1(C,u1_struct_0(A)) & l1_group_1(A) & v3_group_1(A) -> m1_group_2(k6_group_3(A,B,C),A) & v1_group_1(k6_group_3(A,B,C)))) # label(dt_k6_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8966 $T # label(t136_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8967 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(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 = k1_group_1(A,B,k1_group_1(A,C,k3_group_1(A,C))) & k1_group_1(A,B,k1_group_1(A,k3_group_1(A,C),C)) = B & k1_group_1(A,k3_group_1(A,C),k1_group_1(A,C,B)) = B & B = k1_group_1(A,C,k1_group_1(A,k3_group_1(A,C),B)) & B = k1_group_1(A,k1_group_1(A,C,k3_group_1(A,C)),B) & B = k1_group_1(A,k1_group_1(A,k3_group_1(A,C),C),B) & k1_group_1(A,k1_group_1(A,B,k3_group_1(A,C)),C) = B & k1_group_1(A,k1_group_1(A,B,C),k3_group_1(A,C)) = B)))))) # label(t1_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8968 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> k11_group_3(A,k6_group_2(A)) = A)) # label(t165_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8969 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> r1_group_2(A,k6_group_3(A,k9_group_2(A,C,D),B),k9_group_2(A,k6_group_3(A,C,B),k6_group_3(A,D,B))))))))))) # label(t76_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8970 (all A all B (-v3_struct_0(A) & v4_group_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_group_1(A) & v3_group_1(A) -> m1_group_2(k10_group_3(A,B),A) & v1_group_1(k10_group_3(A,B)))) # label(dt_k10_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8971 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v7_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) & v1_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> r1_group_2(A,k6_group_3(A,B,C),B)))))))) # label(t86_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8972 (all A all B all C (v3_group_1(A) & v4_group_1(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k4_group_3(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k4_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8973 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v7_group_1(A) & -v3_struct_0(A) <-> (all 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))) -> (C != k1_xboole_0 -> k3_group_3(A,B,C) = B)))))))) # label(t65_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8974 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k4_group_2(A,B,k3_group_2(A,k3_group_1(A,B),C)) = k4_group_3(A,C,B))))))) # label(t59_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8975 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(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_group_3(A,k7_domain_1(u1_struct_0(A),B,C),k6_domain_1(u1_struct_0(A),D)) = k7_domain_1(u1_struct_0(A),k2_group_3(A,B,D),k2_group_3(A,C,D)))))))))) # label(t46_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8976 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k3_group_1(A,B) = k2_group_3(A,k3_group_1(A,B),B) & k2_group_3(A,B,k3_group_1(A,B)) = B)))) # label(t26_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8977 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(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))) -> r2_hidden(k4_group_3(A,C,B),k8_group_3(A,C)))))))) # label(t114_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8978 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k7_group_3(A,B) = k5_group_3(A,k7_group_2(A,k6_group_2(A)),B))))) # label(d8_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8979 (all A all B all C (l1_group_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,u1_struct_0(A)) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k5_group_3(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k5_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8980 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> (all C (m1_group_2(C,A) & v1_group_1(C) -> (r2_hidden(B,k9_group_3(A,C)) -> r2_hidden(C,k9_group_3(A,B))))))))) # label(t131_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8981 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all 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))) -> r1_tarski(k3_group_3(A,B,C),k2_group_2(A,k2_group_2(A,k1_group_2(A,C),B),C)))))))) # label(t40_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8982 $T # label(t37_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8983 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(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))) -> (all D (m1_group_2(D,A) -> k2_group_2(A,C,k12_group_2(A,D,B)) = k10_group_2(A,D,k4_group_2(A,B,C)))))))))) # label(t10_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8984 $T # label(t49_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8985 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> k6_group_3(A,B,C) = g1_group_1(u1_struct_0(B),u1_group_1(B)))) <-> v1_group_3(B,A)))))) # label(d13_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8986 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all 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))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(k3_group_3(A,k2_group_2(A,B,C),D),k2_group_2(A,k3_group_3(A,B,D),k3_group_3(A,C,D))))))))))) # label(t41_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8987 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all 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))) -> (r3_group_3(A,B,C) -> r3_group_3(A,C,B)))))))) # label(t106_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8988 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) & v1_group_3(B,A) -> (all C (v1_group_1(C) & v1_group_3(C,A) & m1_group_2(C,A) -> (exists D (v1_group_1(D) & v1_group_3(D,A) & k2_group_2(A,k7_group_2(A,B),k7_group_2(A,C)) = u1_struct_0(D) & m1_group_2(D,A))))))))) # label(t149_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8989 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v6_group_1(A) -> v1_finset_1(k8_group_3(A,B))))))) # label(t119_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8990 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_group_2(B,A) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> r1_tarski(k12_group_2(A,B,C),k13_group_2(A,B,C)))) <-> v1_group_3(B,A) & m1_group_2(B,A)))))) # label(t141_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8991 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_group_2(C,A) & v1_group_1(C) -> (C = k10_group_3(A,B) <-> u1_struct_0(C) = a_2_3_group_3(A,B)))))))) # label(d14_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8992 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> -((all C (v1_finset_1(C) -> -(k7_group_3(A,B) = C & k4_card_1(C) = k17_group_2(A,k10_group_3(A,k6_domain_1(u1_struct_0(A),B)))))) & (v1_finset_1(k14_group_2(A,k10_group_3(A,k6_domain_1(u1_struct_0(A),B)))) | v1_finset_1(k7_group_3(A,B)))))))) # label(t158_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8993 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(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))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(C,D) -> r1_tarski(k3_group_2(A,B,C),k3_group_2(A,B,D)) & r1_tarski(k4_group_2(A,B,C),k4_group_2(A,B,D))))))))))) # label(t5_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8994 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (v1_group_1(C) & m1_group_2(C,A) -> (r4_group_3(A,k7_group_2(A,C),k7_group_2(A,B)) <-> r5_group_3(A,C,B)))))))) # label(t134_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8995 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_group_2(D,A) -> k4_group_2(A,B,k10_group_2(A,D,C)) = k2_group_2(A,C,k13_group_2(A,D,B)))))))))) # label(t12_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8996 (all A all B (v4_group_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k8_group_3(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) # label(dt_k8_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8997 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) & v1_group_1(B) -> r5_group_3(A,B,B))))) # label(t122_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8998 $T # label(t48_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	8999 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_group_2(C,A) -> -((all D (m1_group_2(D,A) & v1_group_1(D) -> B != u1_struct_0(D))) & r4_group_3(A,B,k7_group_2(A,C))))))))) # label(t109_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9000 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k2_group_3(A,B,B) = B)))) # label(t25_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9001 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(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))) -> (all D (m1_group_2(D,A) -> k2_group_2(A,k12_group_2(A,D,B),C) = k3_group_2(A,B,k11_group_2(A,D,C)))))))))) # label(t11_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9002 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(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))) -> (all D (m1_group_2(D,A) -> k11_group_2(A,D,k4_group_2(A,B,C)) = k4_group_2(A,B,k11_group_2(A,D,C)))))))))) # label(t14_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9003 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all 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))) -> (k8_group_3(A,C) = k8_group_3(A,B) <-> -r1_xboole_0(k8_group_3(A,B),k8_group_3(A,C))))))))) # label(t117_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9004 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> k8_group_1(C) = k8_group_1(k6_group_3(A,C,B)))))))) # label(t77_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9005 (all A all B all C (l1_group_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k3_group_3(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k3_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9006 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> (v6_group_1(A) -> v1_finset_1(k9_group_3(A,B))))))) # label(t133_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9007 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> a_2_1_group_3(A,B) = k8_group_3(A,B))))) # label(d10_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9008 (all A all B (-v3_struct_0(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (r2_hidden(A,k5_group_3(B,D,C)) <-> (exists E (m1_subset_1(E,u1_struct_0(B)) & r2_hidden(E,D) & k2_group_3(B,C,E) = A))))))))) # label(t51_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9009 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> k10_group_2(A,D,k13_group_2(A,C,B)) = k11_group_2(A,C,k12_group_2(A,D,B)))))))))) # label(t15_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9010 (all A all B all C (-v3_struct_0(A) & v1_group_1(B) & m1_group_2(B,A) & m1_group_2(C,A) & v1_group_1(C) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (r6_group_3(A,B,C) -> r6_group_3(A,C,B)))) # label(symmetry_r6_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9011 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(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)) -> k1_group_1(A,k2_group_3(A,B,D),k2_group_3(A,C,D)) = k2_group_3(A,k1_group_1(A,B,C),D))))))))) # label(t28_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9012 (all A all B (-v3_struct_0(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> ((exists D (r4_group_3(B,C,D) & A = D & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))))) <-> r2_hidden(A,k8_group_3(B,C))))))) # label(t111_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9013 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all 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))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r4_group_3(A,B,C) & r4_group_3(A,C,D) -> r4_group_3(A,B,D)))))))))) # label(t107_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9014 (all A all B all C (v3_group_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & l1_group_1(B) & v4_group_1(B) & -v3_struct_0(B) -> (r2_hidden(A,a_2_3_group_3(B,C)) <-> (exists D (A = D & C = k4_group_3(B,C,D) & m1_subset_1(D,u1_struct_0(B))))))) # label(fraenkel_a_2_3_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9015 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all 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))) -> (r2_hidden(B,k8_group_3(A,C)) -> r2_hidden(C,k8_group_3(A,B))))))))) # label(t116_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9016 $T # label(t75_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9017 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> B = k2_group_3(A,k2_group_3(A,B,k3_group_1(A,C)),C) & k2_group_3(A,k2_group_3(A,B,C),k3_group_1(A,C)) = B)))))) # label(t30_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9018 (all A (-v3_struct_0(A) & v1_group_1(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> A = k11_group_3(A,k5_group_2(A)))) # label(t164_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9019 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) & v1_group_1(C) -> (all D (v1_group_1(D) & m1_group_2(D,A) -> (r5_group_3(A,D,B) & r6_group_3(A,C,D) -> r5_group_3(A,C,B)))))))))) # label(t124_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9020 $T # label(t112_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9021 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(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)) -> (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v7_group_1(A) -> k2_group_3(A,B,C) = B))))))) # label(t35_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9022 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & v1_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> (m1_group_2(B,A) & v1_group_3(B,A) <-> A = k11_group_3(A,B)))))) # label(t163_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9023 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (r2_group_3(A,B,k2_group_1(A)) | r2_group_3(A,k2_group_1(A),B) -> k2_group_1(A) = B))))) # label(t92_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9024 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(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_group_3(A,B,C) -> r1_group_3(A,C,B)))))))) # label(t90_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9025 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_3(B,A) & m1_group_2(B,A) & v1_group_1(B) -> (all C (v1_group_3(C,A) & m1_group_2(C,A) & v1_group_1(C) -> k2_group_2(A,k7_group_2(A,B),k7_group_2(A,C)) = k2_group_2(A,k7_group_2(A,C),k7_group_2(A,B)))))))) # label(t148_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9026 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(B,k7_group_3(A,C)) <-> r2_group_3(A,B,C)))))))) # label(t96_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9027 (all A all B all C (v4_group_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (r2_group_3(A,B,C) -> r2_group_3(A,C,B)))) # label(symmetry_r2_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9028 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(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)) -> k1_group_1(A,k3_group_1(A,C),k1_group_1(A,B,C)) = k2_group_3(A,B,C) & k2_group_3(A,B,C) = k1_group_1(A,k1_group_1(A,k3_group_1(A,C),B),C))))))) # label(t20_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9029 (all A all B all C (-v3_struct_0(A) & v4_group_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & l1_group_1(A) & v3_group_1(A) -> (r1_group_3(A,B,C) <-> r2_group_3(A,B,C)))) # label(redefinition_r2_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9030 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(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))) -> (all D (m1_group_2(D,A) -> k11_group_2(A,D,k3_group_2(A,B,C)) = k2_group_2(A,k13_group_2(A,D,B),C))))))))) # label(t13_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9031 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r1_group_3(A,B,C) <-> (exists D (B = k2_group_3(A,C,D) & m1_subset_1(D,u1_struct_0(A))))))))))) # label(d7_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9032 $T # label(dt_k1_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9033 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (exists B (v1_group_1(B) & v1_group_3(B,A) & v4_group_1(B) & v3_group_1(B) & v2_group_1(B) & -v3_struct_0(B) & m1_group_2(B,A))))) # label(rc1_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9034 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> (all C (m1_group_2(C,A) & v1_group_1(C) -> (r6_group_3(A,B,C) <-> r2_hidden(B,k9_group_3(A,C))))))))) # label(t128_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9035 (all A all B (l1_group_1(A) & m1_subset_1(B,u1_struct_0(A)) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k7_group_3(A,B),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k7_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9036 $T # label(t103_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9037 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r1_group_2(A,k6_group_3(A,k5_group_2(A),B),k5_group_2(A)))))) # label(t80_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9038 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> (v6_group_1(C) <-> v6_group_1(k6_group_3(A,C,B))))))))) # label(t78_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9039 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (v6_group_1(A) -> v1_finset_1(k1_group_3(A))))) # label(t19_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9040 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(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 (m2_subset_1(D,k1_numbers,k5_numbers) -> k6_group_1(A,D,k2_group_3(A,B,C)) = k2_group_3(A,k6_group_1(A,D,B),C))))))))) # label(t33_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9041 (all A all B all C (v1_group_1(B) & m1_group_2(B,A) & m1_group_2(C,A) & v1_group_1(C) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> r6_group_3(A,B,B))) # label(reflexivity_r6_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9042 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (-v3_struct_0(A) & v4_group_1(A) & v7_group_1(A) & l1_group_1(A) & v3_group_1(A) <-> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> B = k4_group_3(A,B,C)))))))) # label(t66_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9043 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(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)) -> k3_group_3(A,k6_domain_1(u1_struct_0(A),C),B) = k5_group_3(A,B,C))))))) # label(d5_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9044 $T # label(t153_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9045 $T # label(t120_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9046 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) & v1_group_1(B) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (r1_rlvect_1(B,C) -> r1_tarski(k7_group_3(A,C),k7_group_2(A,B))))) <-> v1_group_3(B,A) & m1_group_2(B,A)))))) # label(t147_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9047 (all A all B (v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (m1_group_2(C,B) -> (r2_hidden(A,k9_group_3(B,C)) -> v1_group_1(A) & m1_group_2(A,B)))))) # label(t127_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9048 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(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 (v1_int_1(D) -> k6_group_1(A,D,k2_group_3(A,B,C)) = k2_group_3(A,k6_group_1(A,D,B),C))))))))) # label(t34_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9049 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(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))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(k4_group_3(A,k2_group_2(A,C,D),B),k2_group_2(A,k4_group_3(A,C,B),k4_group_3(A,D,B))))))))))) # label(t60_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9050 $T # label(t159_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9051 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(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_xboole_0(k7_group_3(A,B),k7_group_3(A,C)) <-> k7_group_3(A,C) = k7_group_3(A,B)))))))) # label(t100_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9052 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> k4_group_2(A,B,k12_group_2(A,C,k3_group_1(A,B))) = u1_struct_0(k6_group_3(A,C,B)))))))) # label(t71_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9053 (all A all B (v4_group_1(A) & m1_group_2(B,A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> m1_group_2(k11_group_3(A,B),A) & v1_group_1(k11_group_3(A,B)))) # label(dt_k11_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9054 $T # label(t17_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9055 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> v7_group_1(k5_group_2(A)))) # label(t3_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9056 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r1_group_3(A,B,B))))) # label(t89_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9057 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k8_group_3(A,k6_domain_1(u1_struct_0(A),B)) = a_2_2_group_3(A,B))))) # label(t118_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9058 (all A all B (v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> ((exists E (A = k2_group_3(B,E,C) & r2_hidden(E,D) & m1_subset_1(E,u1_struct_0(B)))) <-> r2_hidden(A,k4_group_3(B,D,C))))))))) # label(t50_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9059 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> (r5_group_3(A,B,C) <-> (exists D (g1_group_1(u1_struct_0(B),u1_group_1(B)) = k6_group_3(A,C,D) & m1_subset_1(D,u1_struct_0(A))))))))))) # label(d11_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9060 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> (v4_group_1(A) & l1_group_1(A) & v7_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> v1_group_3(B,A)))))) # label(t139_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9061 (all A all B all C (-v3_struct_0(B) & v4_group_1(B) & m1_subset_1(C,u1_struct_0(B)) & l1_group_1(B) & v3_group_1(B) -> (r2_hidden(A,a_2_2_group_3(B,C)) <-> (exists D (r2_hidden(D,k7_group_3(B,C)) & k6_domain_1(u1_struct_0(B),D) = A & m1_subset_1(D,u1_struct_0(B))))))) # label(fraenkel_a_2_2_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9062 $T # label(t87_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9063 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(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 (k2_group_3(A,B,D) = C & m1_subset_1(D,u1_struct_0(A)))) <-> r1_group_3(A,B,C)))))))) # label(t88_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9064 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> (m1_group_2(C,D) -> r1_tarski(k12_group_2(A,C,B),k12_group_2(A,D,B)) & r1_tarski(k13_group_2(A,C,B),k13_group_2(A,D,B))))))))))) # label(t6_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9065 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> -((v1_finset_1(k14_group_2(A,k11_group_3(A,B))) | v1_finset_1(k9_group_3(A,B))) & (all C (v1_finset_1(C) -> -(k17_group_2(A,k11_group_3(A,B)) = k4_card_1(C) & k9_group_3(A,B) = C)))))))) # label(t162_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9066 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(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))) -> k4_group_3(A,k5_group_3(A,D,B),C) = k5_group_3(A,k4_group_2(A,C,D),B))))))))) # label(t57_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9067 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (k2_group_1(A) = B <-> k7_group_3(A,B) = k6_domain_1(u1_struct_0(A),k2_group_1(A))))))) # label(t101_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9068 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all 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))) -> (r2_hidden(B,k8_group_3(A,C)) <-> r4_group_3(A,B,C)))))))) # label(t113_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9069 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) & v1_group_1(C) -> r1_group_2(A,k6_group_3(A,k6_group_3(A,C,B),k3_group_1(A,B)),C) & r1_group_2(A,k6_group_3(A,k6_group_3(A,C,k3_group_1(A,B)),B),C))))))) # label(t74_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9070 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v4_group_1(A) -> (r3_group_3(A,B,C) <-> r4_group_3(A,B,C)))) # label(redefinition_r4_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9071 $T # label(t68_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9072 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> r1_group_2(A,k6_group_3(A,B,k2_group_1(A)),B))))) # label(t73_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9073 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all 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))) -> a_3_0_group_3(A,B,C) = k3_group_3(A,B,C))))))) # label(d3_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9074 (all A all B (-v3_struct_0(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (r2_hidden(A,k3_group_3(B,C,D)) <-> (exists E (m1_subset_1(E,u1_struct_0(B)) & (exists F (m1_subset_1(F,u1_struct_0(B)) & k2_group_3(B,E,F) = A & r2_hidden(F,D) & r2_hidden(E,C)))))))))))) # label(t38_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9075 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(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))) -> k4_group_3(A,D,k1_group_1(A,B,C)) = k4_group_3(A,k4_group_3(A,D,B),C))))))))) # label(t56_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9076 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & l1_group_1(A) & v4_group_1(A) -> r2_group_3(A,B,B))) # label(reflexivity_r2_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9077 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(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_group_3(A,B,C) = k2_group_3(A,D,C) -> D = B))))))))) # label(t21_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9078 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(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)) -> k3_group_3(A,k6_domain_1(u1_struct_0(A),B),k6_domain_1(u1_struct_0(A),C)) = k6_domain_1(u1_struct_0(A),k2_group_3(A,B,C)))))))) # label(t44_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9079 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> (v1_finset_1(k14_group_2(A,C)) -> k17_group_2(A,C) = k17_group_2(A,k6_group_3(A,C,B))))))))) # label(t85_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9080 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all 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))) -> (k1_xboole_0 != k3_group_3(A,B,C) <-> B != k1_xboole_0 & k1_xboole_0 != C))))))) # label(t39_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9081 $T # label(t152_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9082 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(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)) -> (r2_group_3(A,B,C) & r2_group_3(A,C,D) -> r2_group_3(A,B,D)))))))))) # label(t91_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9083 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (-v3_struct_0(A) & v4_group_1(A) & v7_group_1(A) & l1_group_1(A) & v3_group_1(A) <-> v1_binop_1(u1_group_1(A),u1_struct_0(A))))) # label(t2_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.73	9084 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all 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))) -> k1_group_2(A,k3_group_3(A,B,C)) = k3_group_3(A,k1_group_2(A,B),C))))))) # label(t43_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.74	9085 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> k3_group_3(A,k4_group_3(A,C,B),D) = k3_group_3(A,C,k3_group_2(A,B,D)))))))))) # label(t54_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.74	9086 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k16_group_2(A,k10_group_3(A,k6_domain_1(u1_struct_0(A),B))) = k1_card_1(k7_group_3(A,B)))))) # label(t157_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.74	9087 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> a_2_0_group_3(A,B) = k5_group_3(A,k7_group_2(A,k6_group_2(A)),B))))) # label(t93_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.74	9088 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (m1_group_2(B,A) & v1_group_3(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k10_group_2(A,B,C) = k11_group_2(A,B,C)))))))) # label(t143_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.74	9089 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k3_group_1(A,k2_group_3(A,B,C)) = k2_group_3(A,k3_group_1(A,B),C))))))) # label(t32_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.74	9090 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> v1_group_3(k5_group_2(A),A) & v1_group_3(k6_group_2(A),A))) # label(t137_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.74	9091 $T # label(t16_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.74	9092 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) & v1_group_3(B,A) -> k15_group_2(A,B) = k14_group_2(A,B))))) # label(t150_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.74	9093 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k4_group_3(A,B,k2_group_1(A)) = B)))) # label(t61_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.74	9094 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> (all C (m1_group_2(C,A) & v1_group_1(C) -> (r5_group_3(A,B,C) -> r5_group_3(A,C,B)))))))) # label(t123_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.74	9095 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) & v1_group_3(B,A) & v1_group_1(B) -> (all C (v1_group_1(C) & v1_group_3(C,A) & m1_group_2(C,A) -> v1_group_3(k9_group_2(A,B,C),A))))))) # label(t138_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.74	9096 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(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))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> k3_group_3(A,C,k4_group_2(A,B,D)) = k4_group_3(A,k3_group_3(A,C,D),B))))))))) # label(t53_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.74	9097 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(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(k2_group_3(A,B,C),k7_group_3(A,B)))))))) # label(t97_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.74	9098 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_group_1(A,k1_group_1(A,k3_group_1(A,C),B),C) = k2_group_3(A,B,C))))))) # label(d2_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.74	9099 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (v1_finset_1(k14_group_2(A,B)) & k17_group_2(A,B) = np__2 -> v1_group_3(B,A) & m1_group_2(B,A)))))) # label(t151_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.74	9100 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k2_group_3(A,B,k2_group_1(A)) = B)))) # label(t24_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.74	9101 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> (v1_group_3(B,A) & m1_group_2(B,A) <-> k9_group_3(A,B) = k1_tarski(B)))))) # label(t146_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.74	9102 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> r2_hidden(B,k8_group_3(A,B)))))) # label(t115_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.74	9103 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> C = k4_group_3(A,k4_group_3(A,C,B),k3_group_1(A,B)) & C = k4_group_3(A,k4_group_3(A,C,k3_group_1(A,B)),B))))))) # label(t63_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.74	9104 $T # label(t69_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.74	9105 $T # label(t64_group_3) # label(axiom) # label(non_clause).  [assumption].
119.18/118.74	9106 (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].
119.18/118.74	9107 (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].
119.18/118.74	9108 (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].
119.18/118.74	9109 (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].
119.18/118.74	9110 (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].
119.18/118.74	9111 (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].
119.18/118.74	9112 (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].
119.18/118.74	9113 (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].
119.18/118.74	9114 (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].
119.18/118.74	9115 (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].
119.18/118.74	9116 (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].
119.18/118.74	9117 (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].
119.18/118.74	9118 (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].
119.18/118.74	9119 (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].
119.18/118.74	9120 (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].
119.18/118.74	9121 (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].
119.18/118.74	9122 (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].
119.18/118.74	9123 (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].
119.18/118.74	9124 (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].
119.18/118.74	9125 (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].
119.18/118.74	9126 (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].
119.18/118.74	9127 (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].
119.18/118.74	9128 (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].
119.18/118.74	9129 (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].
119.18/118.74	9130 (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].
119.18/118.74	9131 (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].
119.18/118.74	9132 (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].
119.18/118.74	9133 (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].
119.18/118.74	9134 (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].
119.18/118.74	9135 (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].
119.18/118.74	9136 (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].
119.18/118.74	9137 (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].
119.18/118.74	9138 (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].
119.18/118.74	9139 (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].
119.18/118.74	9140 (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].
119.18/118.74	9141 (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].
119.18/118.74	9142 (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].
119.18/118.74	9143 (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].
119.18/118.74	9144 (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].
119.18/118.74	9145 (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].
119.18/118.74	9146 $T # label(t1_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.74	9147 (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].
119.18/118.74	9148 (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].
119.18/118.74	9149 (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].
119.18/118.74	9150 (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].
119.18/118.74	9151 $T # label(t4_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.74	9152 (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].
119.18/118.74	9153 (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].
119.18/118.74	9154 (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].
119.18/118.74	9155 (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].
119.18/118.74	9156 (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].
119.18/118.74	9157 (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].
119.18/118.74	9158 $T # label(t11_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.74	9159 (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].
119.18/118.74	9160 (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].
119.18/118.74	9161 (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].
119.18/118.74	9162 (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].
119.18/118.74	9163 (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].
119.18/118.74	9164 (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].
119.18/118.74	9165 (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].
119.18/118.74	9166 (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].
119.18/118.74	9167 (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].
119.18/118.74	9168 (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].
119.18/118.74	9169 $T # label(t20_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.74	9170 (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].
119.18/118.74	9171 (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].
119.18/118.74	9172 (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].
119.18/118.74	9173 $T # label(d5_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.74	9174 (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].
119.18/118.74	9175 (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].
119.18/118.74	9176 (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].
119.18/118.74	9177 (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].
119.18/118.74	9178 (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].
119.18/118.74	9179 (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].
119.18/118.74	9180 $T # label(t23_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.74	9181 (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].
119.18/118.74	9182 (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].
119.18/118.74	9183 (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].
119.18/118.74	9184 (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].
119.18/118.74	9185 (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].
119.18/118.74	9186 (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].
119.18/118.74	9187 (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].
119.18/118.74	9188 (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].
119.18/118.74	9189 (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].
119.18/118.74	9190 (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].
119.18/118.74	9191 (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].
119.18/118.74	9192 (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].
119.18/118.74	9193 (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].
119.18/118.74	9194 (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].
119.18/118.74	9195 (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].
119.18/118.74	9196 (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].
119.18/118.74	9197 (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].
119.18/118.74	9198 (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].
119.18/118.74	9199 (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].
119.18/118.74	9200 (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].
119.18/118.74	9201 (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].
119.18/118.75	9202 (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].
119.18/118.75	9203 $T # label(t3_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9204 (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].
119.18/118.75	9205 $T # label(t42_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9206 (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].
119.18/118.75	9207 (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].
119.18/118.75	9208 $T # label(t15_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9209 (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].
119.18/118.75	9210 (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].
119.18/118.75	9211 (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].
119.18/118.75	9212 (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].
119.18/118.75	9213 (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].
119.18/118.75	9214 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> m1_group_2(C,k8_group_4(A,B,C)) & m1_group_2(B,k8_group_4(A,B,C)))))))) # label(t78_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9215 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(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))) -> (r1_rlvect_1(k5_group_4(A,C),B) <-> (exists D ((exists E (m2_finseq_1(E,k4_numbers) & k3_finseq_1(E) = k3_finseq_1(D) & r1_tarski(k2_relat_1(D),C) & k3_group_4(A,k4_group_4(A,E,D)) = B)) & m2_finseq_1(D,u1_struct_0(A))))))))))) # label(t37_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9216 (all A all B all C (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v3_group_1(B) -> (r2_hidden(A,a_2_0_group_4(B,C)) <-> (exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & D = A & (exists E (u1_struct_0(E) = D & r1_tarski(C,k7_group_2(B,E)) & m1_group_2(E,B) & v1_group_1(E)))))))) # label(fraenkel_a_2_0_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9217 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (all D (m2_finseq_1(D,u1_struct_0(A)) -> (v3_group_1(A) & v7_group_1(A) & l1_group_1(A) & k3_finseq_1(B) = k3_finseq_1(D) & (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (r2_hidden(E,k4_finseq_1(B)) -> k1_group_1(A,k4_finseq_4(k5_numbers,u1_struct_0(A),C,E),k4_finseq_4(k5_numbers,u1_struct_0(A),D,E)) = k1_funct_1(B,E)))) & k3_finseq_1(B) = k3_finseq_1(C) & v4_group_1(A) & -v3_struct_0(A) -> k1_group_1(A,k3_group_4(A,C),k3_group_4(A,D)) = k3_group_4(A,B)))))))))) # label(t20_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9218 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k3_group_4(A,k12_finseq_1(u1_struct_0(A),B)))))) # label(t12_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9219 (all A (v1_int_1(A) -> (all B (v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_group_2(D,B) -> (all E (m1_subset_1(E,u1_struct_0(D)) -> (C = E -> k6_group_1(B,A,C) = k6_group_1(D,A,E)))))))))))) # label(t4_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9220 $T # label(t7_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9221 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> v1_group_1(k6_group_4(A)) & m1_group_2(k6_group_4(A),A))) # label(dt_k6_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9222 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> k7_group_4(A,B,C) = k10_group_2(A,C,k7_group_2(A,B)) & k11_group_2(A,B,k7_group_2(A,C)) = k7_group_4(A,B,C) & k2_group_2(A,k7_group_2(A,B),k7_group_2(A,C)) = k7_group_4(A,B,C))))))) # label(t57_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9223 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) & v1_group_3(B,A) -> (all C (v1_group_1(C) & m1_group_2(C,A) & v1_group_3(C,A) -> v1_group_3(k8_group_4(A,B,C),A) & m1_group_2(k8_group_4(A,B,C),A))))))) # label(t72_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9224 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> v1_funct_2(k9_group_4(A),k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) & m2_relset_1(k9_group_4(A),k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) & v1_funct_1(k9_group_4(A)))) # label(dt_k9_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9225 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> k11_group_2(A,C,k11_group_2(A,D,B)) = k2_group_2(A,k7_group_4(A,C,D),B))))))))) # label(t63_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9226 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> k4_group_2(A,B,k7_group_4(A,C,D)) = k11_group_2(A,C,k13_group_2(A,D,B)))))))))) # label(t61_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9227 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & v7_group_1(A) & k2_relat_1(C) = k2_relat_1(B) & v2_funct_1(C) & v2_funct_1(B) & l1_group_1(A) -> k3_group_4(A,B) = k3_group_4(A,C)))))))) # label(t19_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9228 (all A all B all C (v4_group_1(A) & m1_group_2(B,A) & m1_group_2(C,A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> m1_group_2(k8_group_4(A,B,C),A) & v1_group_1(k8_group_4(A,B,C)))) # label(dt_k8_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9229 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k1_setfam_1(a_2_0_group_4(A,B)) = u1_struct_0(k5_group_4(A,B)))))) # label(t43_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9230 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> ((exists C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & g1_group_1(u1_struct_0(A),u1_group_1(A)) = k5_group_4(A,C) & k5_group_4(A,k6_subset_1(u1_struct_0(A),C,k6_domain_1(u1_struct_0(A),B))) != g1_group_1(u1_struct_0(A),u1_group_1(A)))) <-> v1_group_4(B,A)))))) # label(d6_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9231 $T # label(t91_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9232 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> r1_group_2(A,k8_group_4(A,B,k6_group_2(A)),k6_group_2(A)) & r1_group_2(A,k8_group_4(A,k6_group_2(A),B),k6_group_2(A)))))) # label(t77_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9233 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> r1_group_2(A,k8_group_4(A,B,k5_group_2(A)),B) & r1_group_2(A,k8_group_4(A,k5_group_2(A),B),B))))) # label(t76_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9234 (all A (v1_int_1(A) -> m1_subset_1(k2_group_4(A),k4_numbers))) # label(dt_k2_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9235 $T # label(d1_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9236 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (v1_group_1(C) & m1_group_2(C,A) -> r1_group_2(A,k9_group_2(A,C,k8_group_4(A,C,B)),C))))))) # label(t85_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9237 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> r1_group_2(A,k5_group_4(A,k1_subset_1(u1_struct_0(A))),k5_group_2(A)))) # label(t39_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9238 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> v3_lattices(k11_group_4(A)) & v10_lattices(k11_group_4(A)) & l3_lattices(k11_group_4(A)) & -v3_struct_0(k11_group_4(A)))) # label(dt_k11_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9239 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> m1_group_2(k9_group_2(A,B,C),k8_group_4(A,B,C)))))))) # label(t83_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9240 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> k3_group_4(A,B) = k2_finsop_1(u1_struct_0(A),B,u1_group_1(A)))))) # label(d3_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9241 (all A all B all C (m1_finseq_1(B,A) & -v1_xboole_0(A) -> m2_finseq_1(k1_group_4(A,B,C),A))) # label(dt_k1_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9242 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (r1_tarski(k2_relat_1(C),k7_group_2(A,B)) -> r1_rlvect_1(B,k3_group_4(A,C))))))))) # label(t21_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9243 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(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))) -> (r2_hidden(B,C) -> r1_rlvect_1(k5_group_4(A,C),B)))))))) # label(t38_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9244 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> (-v3_struct_0(A) & v4_group_1(A) & v7_group_1(A) & l1_group_1(A) & v3_group_1(A) -> k7_group_4(A,C,B) = k7_group_4(A,B,C)))))))) # label(t65_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9245 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all 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))) -> m1_group_2(k5_group_4(A,k5_subset_1(u1_struct_0(A),B,C)),k9_group_2(A,k5_group_4(A,B),k5_group_4(A,C))))))))) # label(t42_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9246 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> r1_group_2(A,k8_group_4(A,B,C),k5_group_4(A,k7_group_4(A,B,C))))))))) # label(t68_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9247 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) & v1_group_1(B) -> r1_group_2(A,k5_group_4(A,k7_group_2(A,B)),B))))) # label(t40_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9248 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (v2_group_4(B,A) <-> g1_group_1(u1_struct_0(B),u1_group_1(B)) != g1_group_1(u1_struct_0(A),u1_group_1(A)) & (all C (m1_group_2(C,A) & v1_group_1(C) -> (m1_group_2(B,C) -> g1_group_1(u1_struct_0(A),u1_group_1(A)) = C | C = g1_group_1(u1_struct_0(B),u1_group_1(B)))))))))) # label(d7_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9249 (all A all B all C (v3_group_1(A) & m1_finseq_1(C,u1_struct_0(A)) & m1_finseq_1(B,k4_numbers) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> m2_finseq_1(k4_group_4(A,B,C),u1_struct_0(A)))) # label(dt_k4_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9250 (all A (l1_group_1(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)) -> k3_group_4(A,k7_rlvect_1(A,B,C)) = k1_group_1(A,B,C))))))) # label(t13_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9251 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) -> k7_group_2(A,B) = k7_group_4(A,B,B))))) # label(t58_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9252 $T # label(t2_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9253 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) & m2_relset_1(B,k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) -> (B = k10_group_4(A) <-> (all C (m1_subset_1(C,k1_group_3(A)) -> (all D (m1_subset_1(D,k1_group_3(A)) -> (all E (m1_group_2(E,A) -> (all F (m1_group_2(F,A) -> (F = D & E = C -> k2_binop_1(k1_group_3(A),k1_group_3(A),k1_group_3(A),B,C,D) = k9_group_2(A,E,F))))))))))))))) # label(d12_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9254 $T # label(t45_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9255 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_group_2(C,A) & v1_group_1(C) -> (C = k5_group_4(A,B) <-> r1_tarski(B,u1_struct_0(C)) & (all D (v1_group_1(D) & m1_group_2(D,A) -> (r1_tarski(B,u1_struct_0(D)) -> m1_group_2(C,D))))))))))) # label(d5_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9256 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_1(B) & v1_group_3(B,A) & m1_group_2(B,A) -> (all C (m1_group_2(C,A) & v1_group_3(C,A) & v1_group_1(C) -> k7_group_4(A,B,C) = k7_group_4(A,C,B))))))) # label(t64_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9257 $T # label(t22_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9258 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> k1_finsop_1(u1_struct_0(A),k3_finseq_1(B),k2_group_1(A)) = k4_group_4(A,k1_finsop_1(k4_numbers,k3_finseq_1(B),k2_group_4(np__0)),B))))) # label(t32_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9259 (all A (v2_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> k1_group_1(A,k3_group_4(A,B),k3_group_4(A,C)) = k3_group_4(A,k8_finseq_1(u1_struct_0(A),B,C)))))))) # label(t8_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9260 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (-v3_struct_0(A) & v3_group_1(A) & v7_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all D (m2_relset_1(D,k4_finseq_1(B),k4_finseq_1(B)) & v3_funct_2(D,k4_finseq_1(B),k4_finseq_1(B)) & v1_funct_2(D,k4_finseq_1(B),k4_finseq_1(B)) & v1_funct_1(D) -> (k5_relat_1(D,B) = C -> k3_group_4(A,C) = k3_group_4(A,B))))))))))) # label(t18_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9261 (all A all B all C (v3_group_1(A) & l1_group_1(A) & m1_group_2(C,A) & m1_group_2(B,A) & v4_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k7_group_4(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k7_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9262 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> k10_group_2(A,D,k10_group_2(A,C,B)) = k2_group_2(A,B,k7_group_4(A,C,D)))))))))) # label(t62_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9263 $T # label(t96_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9264 $T # label(t1_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9265 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> (m1_group_2(B,C) -> m1_group_2(B,k8_group_4(A,C,D))))))))))) # label(t80_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9266 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> -v1_group_4(k2_group_1(A),A))) # label(t46_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9267 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(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_group_4(A,k8_rlvect_1(A,B,C,D)) = k1_group_1(A,B,k1_group_1(A,C,D)) & k1_group_1(A,k1_group_1(A,B,C),D) = k3_group_4(A,k8_rlvect_1(A,B,C,D)))))))))) # label(t14_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9268 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> (-v3_struct_0(A) & v4_group_1(A) & v7_group_1(A) & l1_group_1(A) & v3_group_1(A) -> u1_struct_0(k8_group_4(A,B,C)) = k7_group_4(A,B,C)))))))) # label(t70_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9269 (all A ((exists B (A = B & (exists C (p1_s1_group_4(C) & u1_struct_0(C) = B & m1_group_2(C,f1_s1_group_4) & v1_group_1(C))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(f1_s1_group_4))))) <-> r2_hidden(A,a_0_0_group_4))) # label(fraenkel_a_0_0_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9270 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (all C (v1_int_1(C) -> (all D (-v3_struct_0(D) & v3_group_1(D) & l1_group_1(D) & v4_group_1(D) -> (all E (m1_subset_1(E,u1_struct_0(D)) -> (all F (m1_subset_1(F,u1_struct_0(D)) -> (all G (m1_subset_1(G,u1_struct_0(D)) -> k4_group_4(D,k3_finseq_4(k4_numbers,k2_group_4(A),k2_group_4(B),k2_group_4(C)),k8_rlvect_1(D,E,F,G)) = k8_rlvect_1(D,k6_group_1(D,A,E),k6_group_1(D,B,F),k6_group_1(D,C,G)))))))))))))))) # label(t30_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9271 (all A (v1_int_1(A) -> (all B (l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k12_finseq_1(u1_struct_0(B),k6_group_1(B,A,C)) = k4_group_4(B,k12_finseq_1(k4_numbers,k2_group_4(A)),k12_finseq_1(u1_struct_0(B),C)))))))) # label(t28_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9272 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m2_finseq_1(B,k4_numbers) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (all D (m2_finseq_1(D,u1_struct_0(A)) -> (k4_group_4(A,B,C) = D <-> (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (r2_hidden(E,k4_finseq_1(C)) -> k1_funct_1(D,E) = k6_group_1(A,k2_group_4(k4_finseq_4(k5_numbers,k4_numbers,B,E)),k4_finseq_4(k5_numbers,u1_struct_0(A),C,E))))) & k3_finseq_1(D) = k3_finseq_1(C)))))))))) # label(d4_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9273 (all A (v1_int_1(A) -> (all B (-v3_struct_0(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_group_2(D,B) -> (r1_rlvect_1(D,C) -> r1_rlvect_1(D,k6_group_1(B,A,C))))))))))) # label(t6_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9274 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> k8_group_4(A,B,C) = k5_group_4(A,k4_subset_1(u1_struct_0(A),k7_group_2(A,B),k7_group_2(A,C))))))))) # label(d10_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9275 $T # label(t36_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9276 (all A (-v3_struct_0(A) & v2_group_1(A) & l1_group_1(A) -> k3_group_4(A,k6_finseq_1(u1_struct_0(A))) = k2_group_1(A))) # label(t11_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9277 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (v1_group_1(C) & m1_group_2(C,A) -> (m1_group_2(B,C) <-> r1_group_2(A,k8_group_4(A,B,C),C)))))))) # label(t79_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9278 $T # label(t66_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9279 $T # label(t97_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9280 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> k4_group_4(A,k1_finsop_1(k4_numbers,k3_finseq_1(B),k2_group_4(np__1)),B) = B)))) # label(t31_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9281 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> r1_group_2(A,k8_group_4(A,B,B),B))))) # label(t73_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9282 (all A (v1_group_1(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (r1_rlvect_1(k6_group_4(A),B) <-> -v1_group_4(B,A)))))) # label(t56_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9283 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (v1_group_1(C) & m1_group_2(C,A) -> r1_group_2(A,k8_group_4(A,k9_group_2(A,B,C),C),C))))))) # label(t84_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9284 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (all C (-v3_struct_0(C) & v3_group_1(C) & v4_group_1(C) & l1_group_1(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (all E (m1_subset_1(E,u1_struct_0(C)) -> k7_rlvect_1(C,k6_group_1(C,A,D),k6_group_1(C,B,E)) = k4_group_4(C,k2_finseq_4(k4_numbers,k2_group_4(A),k2_group_4(B)),k7_rlvect_1(C,D,E)))))))))))) # label(t29_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9285 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> (all D (v1_group_1(D) & m1_group_2(D,A) -> (m1_group_2(B,D) & m1_group_2(C,D) -> m1_group_2(k8_group_4(A,B,C),D)))))))))) # label(t81_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9286 $T # label(t34_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9287 (all A all B all C (-v1_xboole_0(A) & m1_finseq_1(B,A) -> k1_group_4(A,B,C) = k1_finseq_3(B,C))) # label(redefinition_k1_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9288 (all A (-v3_struct_0(A) & l1_group_1(A) & v2_group_1(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k3_group_4(A,k8_finseq_1(u1_struct_0(A),B,k12_finseq_1(u1_struct_0(A),C))) = k1_group_1(A,k3_group_4(A,B),C))))))) # label(t9_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9289 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (all D (m2_finseq_1(D,k4_numbers) -> (r1_tarski(k2_relat_1(C),k7_group_2(A,B)) -> r1_rlvect_1(B,k3_group_4(A,k4_group_4(A,D,C)))))))))))) # label(t26_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9290 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> ((all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r2_hidden(D,k4_finseq_1(B)) -> k1_funct_1(C,k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(B),D),np__1)) = k3_group_1(A,k4_finseq_4(k5_numbers,u1_struct_0(A),B,D))))) & k3_finseq_1(C) = k3_finseq_1(B) -> k3_group_1(A,k3_group_4(A,C)) = k3_group_4(A,B)))))))) # label(t17_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9291 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> u1_lattices(k11_group_4(A)) = k10_group_4(A))) # label(t94_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9292 (all A all B (l1_group_1(A) & m1_finseq_1(B,u1_struct_0(A)) & -v3_struct_0(A) -> m1_subset_1(k3_group_4(A,B),u1_struct_0(A)))) # label(dt_k3_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9293 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> k11_group_4(A) = g3_lattices(k1_group_3(A),k9_group_4(A),k10_group_4(A)))) # label(d13_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9294 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> k1_group_3(A) = u1_struct_0(k11_group_4(A)))) # label(t92_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9295 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> r1_group_2(A,k8_group_4(A,k8_group_4(A,B,C),D),k8_group_4(A,B,k8_group_4(A,C,D))))))))))) # label(t75_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9296 $T # label(t23_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9297 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> k11_group_2(A,B,k7_group_4(A,C,D)) = k10_group_2(A,D,k7_group_4(A,B,C)))))))))) # label(t59_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9298 (exists A (p1_s1_group_4(A) & m1_group_2(A,f1_s1_group_4) & v1_group_1(A))) -> (exists A (v1_group_1(A) & u1_struct_0(A) = k1_setfam_1(a_0_0_group_4) & m1_group_2(A,f1_s1_group_4))) # label(s1_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9299 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v1_group_1(A) -> (all B (m1_group_2(B,A) & v1_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (v2_group_4(B,A) -> r1_rlvect_1(B,C) | k5_group_4(A,k4_subset_1(u1_struct_0(A),k7_group_2(A,B),k6_domain_1(u1_struct_0(A),C))) = A))))))) # label(t48_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9300 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> k6_group_2(A) = k6_lattices(k11_group_4(A)))) # label(t99_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9301 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) & v1_group_1(B) -> (all C (v1_group_1(C) & m1_group_2(C,A) -> (r1_group_2(A,k9_group_2(A,B,C),B) <-> r1_group_2(A,k8_group_4(A,B,C),C)))))))) # label(t86_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9302 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v3_struct_0(C) & v3_group_1(C) & v4_group_1(C) & l1_group_1(C) -> ((exists D (v1_group_1(D) & m1_group_2(D,C) & v2_group_4(D,C))) -> ((all D (m1_group_2(D,C) & v1_group_1(D) -> (v2_group_4(D,C) -> r1_rlvect_1(D,B)))) <-> r1_rlvect_1(k6_group_4(C),B))))))))) # label(t52_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9303 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_group_2(D,B) -> (all E (m1_subset_1(E,u1_struct_0(D)) -> (E = C -> k6_group_1(D,A,E) = k6_group_1(B,A,C)))))))))))) # label(t3_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9304 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> ((exists E ((exists F (m2_finseq_1(F,k4_numbers) & B = k3_group_4(A,k4_group_4(A,F,E)) & r1_tarski(k2_relat_1(E),k4_subset_1(u1_struct_0(A),k7_group_2(A,C),k7_group_2(A,D))) & k3_finseq_1(F) = k3_finseq_1(E))) & m2_finseq_1(E,u1_struct_0(A)))) <-> r1_rlvect_1(k8_group_4(A,C,D),B)))))))))) # label(t67_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9305 $T # label(t87_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9306 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> k9_group_4(A) = u2_lattices(k11_group_4(A)))) # label(t93_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9307 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (all D (m2_finseq_1(D,k4_numbers) -> (all E (m2_finseq_1(E,k4_numbers) -> (k3_finseq_1(C) = k3_finseq_1(E) & k3_finseq_1(D) = k3_finseq_1(B) -> k8_finseq_1(u1_struct_0(A),k4_group_4(A,D,B),k4_group_4(A,E,C)) = k4_group_4(A,k8_finseq_1(k4_numbers,D,E),k8_finseq_1(u1_struct_0(A),B,C))))))))))))) # label(t25_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9308 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) & v1_group_1(C) -> (all D (m1_group_2(D,A) & v1_group_1(D) -> (m1_group_2(B,D) -> m1_group_2(k8_group_4(A,B,C),k8_group_4(A,D,C))))))))))) # label(t82_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9309 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> v1_funct_2(k10_group_4(A),k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) & m2_relset_1(k10_group_4(A),k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) & v1_funct_1(k10_group_4(A)))) # label(dt_k10_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9310 $T # label(t49_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9311 $T # label(t90_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9312 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> ((all C (v1_group_1(C) & m1_group_2(C,A) -> -v2_group_4(C,A))) -> r1_rlvect_1(k6_group_4(A),B)))))) # label(t53_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9313 $T # label(t47_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9314 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> ((exists C (v1_group_1(C) & m1_group_2(C,A) & v2_group_4(C,A))) -> (k1_setfam_1(a_1_0_group_4(A)) = u1_struct_0(B) <-> k6_group_4(A) = B)) & ((all C (m1_group_2(C,A) & v1_group_1(C) -> -v2_group_4(C,A))) -> (B = g1_group_1(u1_struct_0(A),u1_group_1(A)) <-> k6_group_4(A) = B)))))) # label(d8_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9315 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> k10_group_2(A,D,k12_group_2(A,C,B)) = k3_group_2(A,B,k7_group_4(A,C,D)))))))))) # label(t60_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9316 (all A (v1_int_1(A) -> A = k2_group_4(A))) # label(d2_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9317 (exists A (r1_tarski(A,k1_group_3(f1_s2_group_4)) & (all B (v1_group_1(B) & m1_group_2(B,f1_s2_group_4) -> (p1_s2_group_4(B) <-> r2_hidden(B,A)))))) # label(s2_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9318 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> -v3_struct_0(k11_group_4(A)) & v3_lattices(k11_group_4(A)) & v7_lattices(k11_group_4(A)) & v8_lattices(k11_group_4(A)) & v13_lattices(k11_group_4(A)) & v15_lattices(k11_group_4(A)) & v14_lattices(k11_group_4(A)) & v10_lattices(k11_group_4(A)) & v9_lattices(k11_group_4(A)) & v6_lattices(k11_group_4(A)) & v5_lattices(k11_group_4(A)) & v4_lattices(k11_group_4(A)))) # label(fc1_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9319 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> r1_group_2(A,k8_group_4(A,B,C),k8_group_4(A,C,B)))))))) # label(t74_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9320 $T # label(t89_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9321 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_group_2(D,B) -> (r1_rlvect_1(D,C) -> r1_rlvect_1(D,k6_group_1(B,A,C))))))))))) # label(t5_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9322 (all A (-v3_struct_0(A) & v1_group_1(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> a_1_1_group_4(A) = u1_struct_0(k6_group_4(A)))) # label(t55_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9323 $T # label(t35_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9324 $T # label(t24_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9325 $T # label(t50_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9326 (all A all B (v1_group_1(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (r2_hidden(A,a_1_1_group_4(B)) <-> (exists C (m1_subset_1(C,u1_struct_0(B)) & C = A & -v1_group_4(C,B)))))) # label(fraenkel_a_1_1_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9327 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m2_relset_1(B,k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) & v1_funct_2(B,k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) & v1_funct_1(B) -> ((all C (m1_subset_1(C,k1_group_3(A)) -> (all D (m1_subset_1(D,k1_group_3(A)) -> (all E (m1_group_2(E,A) -> (all F (m1_group_2(F,A) -> (F = D & E = C -> k8_group_4(A,E,F) = k2_binop_1(k1_group_3(A),k1_group_3(A),k1_group_3(A),B,C,D)))))))))) <-> k9_group_4(A) = B))))) # label(d11_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9328 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> k4_group_4(A,k6_finseq_1(k4_numbers),k6_finseq_1(u1_struct_0(A))) = k1_xboole_0)) # label(t27_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9329 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) & v1_group_1(B) -> (v2_group_4(B,A) -> m1_group_2(k6_group_4(A),B)))))) # label(t54_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9330 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) -> (all C (m2_finseq_1(C,k4_numbers) -> (A = k3_finseq_1(C) -> k4_group_4(B,C,k1_finsop_1(u1_struct_0(B),A,k2_group_1(B))) = k1_finsop_1(u1_struct_0(B),A,k2_group_1(B))))))))) # label(t33_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9331 (all A all B (-v3_struct_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> m1_group_2(k5_group_4(A,B),A) & v1_group_1(k5_group_4(A,B)))) # label(dt_k5_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9332 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> k5_group_2(A) = k5_lattices(k11_group_4(A)))) # label(t98_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9333 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> (k7_group_4(A,C,B) = k7_group_4(A,B,C) -> u1_struct_0(k8_group_4(A,B,C)) = k7_group_4(A,B,C)))))))) # label(t69_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9334 $T # label(t88_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9335 $T # label(t51_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9336 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> k3_group_4(A,k1_group_4(u1_struct_0(A),B,k6_domain_1(u1_struct_0(A),k2_group_1(A)))) = k3_group_4(A,B))))) # label(t16_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9337 (all A (v4_group_1(A) & l1_group_1(A) & v2_group_1(A) & -v3_struct_0(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_group_1(A,C,k3_group_4(A,B)) = k3_group_4(A,k8_finseq_1(u1_struct_0(A),k12_finseq_1(u1_struct_0(A),C),B)))))))) # label(t10_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9338 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) & v1_group_3(B,A) & v1_group_1(B) -> (all C (v1_group_3(C,A) & m1_group_2(C,A) & v1_group_1(C) -> u1_struct_0(k8_group_4(A,B,C)) = k7_group_4(A,B,C))))))) # label(t71_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9339 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k6_group_1(B,A,C) = k3_group_4(B,k1_finsop_1(u1_struct_0(B),A,C)))))))) # label(t15_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9340 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all 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))) -> (r1_tarski(B,C) -> m1_group_2(k5_group_4(A,B),k5_group_4(A,C))))))))) # label(t41_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9341 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> k2_group_2(A,k7_group_2(A,B),k7_group_2(A,C)) = k7_group_4(A,B,C))))))) # label(d9_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9342 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> r1_group_2(A,k5_group_4(A,B),k5_group_4(A,k6_subset_1(u1_struct_0(A),B,k6_domain_1(u1_struct_0(A),k2_group_1(A))))))))) # label(t44_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9343 $T # label(t95_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9344 (all A all B (v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & -v3_struct_0(B) -> (r2_hidden(A,a_1_0_group_4(B)) <-> (exists C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & (exists D (v2_group_4(D,B) & u1_struct_0(D) = C & m1_group_2(D,B) & v1_group_1(D)))))))) # label(fraenkel_a_1_0_group_4) # label(axiom) # label(non_clause).  [assumption].
119.18/118.75	9345 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (v1_connsp_2(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (v3_pre_topc(B,A) -> v2_connsp_2(B,A))))))) # label(t23_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9346 (all A all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(A) & v2_pre_topc(A) -> (exists C m2_connsp_2(C,A,B)))) # label(existence_m2_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9347 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all 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))) -> (r3_connsp_1(A,B) & r1_tarski(B,C) -> r4_connsp_1(A,C,B)))))))) # label(t13_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9348 (all A all B (l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & v2_pre_topc(A) & -v3_struct_0(A) -> (all C (m1_connsp_2(C,A,B) -> m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))))))) # label(dt_m1_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9349 (all A (l1_pre_topc(A) & v2_pre_topc(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)) -> (r2_hidden(C,B) & v3_pre_topc(B,A) -> m1_connsp_2(B,A,C)))))))) # label(t5_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9350 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (D = C -> r1_tarski(k1_connsp_1(B,D),k1_connsp_1(A,C))))))))))) # label(t14_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9351 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (r1_connsp_2(A,B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) -> (v3_pre_topc(C,A) & r2_hidden(B,C) -> r2_connsp_2(A,C,B))))))))) # label(t22_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9352 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> r1_connsp_2(A,B))) <-> v1_connsp_2(A)))) # label(d4_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9353 (all A (v2_pre_topc(A) & l1_pre_topc(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))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (m1_connsp_2(C,A,B) & m1_connsp_2(D,A,B) <-> m1_connsp_2(k5_subset_1(u1_struct_0(A),C,D),A,B)))))))))) # label(t4_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9354 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (v1_connsp_2(k3_pre_topc(A,B)) <-> v2_connsp_2(B,A)))))) # label(d6_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9355 $T # label(t18_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9356 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(k1_xboole_0 = C & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(D,C) <-> v3_pre_topc(D,A) & v4_pre_topc(D,A) & r2_hidden(B,D))))))))))) # label(t28_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9357 (all A (v2_pre_topc(A) & l1_pre_topc(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) -> -((all D (m1_subset_1(D,u1_struct_0(k3_pre_topc(A,C))) -> -(B = D & r2_hidden(B,k1_tops_1(k3_pre_topc(A,C),k1_connsp_1(k3_pre_topc(A,C),D)))))) & r2_hidden(B,C) & v3_pre_topc(C,A)))) <-> r1_connsp_2(A,B)))))) # label(t20_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9358 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (v5_compts_1(A) & v1_connsp_2(A) -> (all 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))) -> -(B != k1_xboole_0 & v4_pre_topc(B,A) & v4_pre_topc(C,A) & v2_connsp_1(C,A) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> -(v2_connsp_1(D,A) & v3_pre_topc(D,A) & v3_pre_topc(E,A) & r1_tarski(C,E) & r1_xboole_0(D,E) & r1_tarski(B,D) & v2_connsp_1(E,A)))))) & v2_connsp_1(B,A) & r1_xboole_0(B,C) & C != k1_xboole_0)))))))) # label(t27_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9359 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (v1_connsp_2(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (r3_connsp_1(A,B) -> v3_pre_topc(B,A))))))) # label(t21_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9360 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_connsp_2(A,B,C) <-> (all D (-v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(D = B & (all E (m1_subset_1(E,u1_struct_0(k3_pre_topc(A,D))) -> -(r1_connsp_2(k3_pre_topc(A,D),E) & E = C))))))))))))) # label(d5_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9361 (all A all B (-v3_struct_0(A) & v2_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & l1_pre_topc(A) -> m1_subset_1(k1_connsp_2(A,B),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k1_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9362 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(m1_connsp_2(C,A,B) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(D) -> -(m1_connsp_2(D,A,B) & v3_pre_topc(D,A) & r1_tarski(D,C))))))))))) # label(t7_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9363 $T # label(t29_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9364 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> ((exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & v3_pre_topc(D,A) & r2_hidden(B,D) & r1_tarski(D,C))) <-> m1_connsp_2(C,A,B)))))))) # label(t8_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9365 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all 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))) -> (m2_connsp_2(C,A,B) <-> r1_tarski(B,k1_tops_1(A,C))))))))) # label(d2_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9366 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (v1_connsp_2(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))) -> (v3_pre_topc(B,A) & r4_connsp_1(A,B,C) -> v3_pre_topc(C,A))))))))) # label(t24_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9367 $T # label(t16_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9368 (all A (v2_pre_topc(A) & l1_pre_topc(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))) -> (m1_connsp_2(C,A,B) <-> m2_connsp_2(C,A,k1_struct_0(A,B))))))))) # label(t10_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9369 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (m1_connsp_2(C,A,B) <-> r2_hidden(B,k1_tops_1(A,C))))))))) # label(d1_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9370 (all A all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(A) & v2_pre_topc(A) -> (all C (m2_connsp_2(C,A,B) -> m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))))))) # label(dt_m2_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9371 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (m1_connsp_2(B,A,C) -> r2_hidden(C,B)))))))) # label(t6_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9372 (all A (v2_pre_topc(A) & l1_pre_topc(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,u1_struct_0(k3_pre_topc(A,B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_pre_topc(A,B)))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (all F (m1_subset_1(F,u1_struct_0(A)) -> (v3_pre_topc(B,A) & E = D & C = F & m1_connsp_2(D,k3_pre_topc(A,B),C) -> m1_connsp_2(E,A,F)))))))))))))) # label(t11_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9373 $T # label(t17_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9374 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(C,A) & r1_tarski(C,k1_connsp_2(A,B)) & r2_hidden(B,C) & v4_pre_topc(C,A) -> C = k1_connsp_2(A,B)))))))) # label(t31_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9375 $T # label(t15_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9376 (all A all B (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) -> (exists C m1_connsp_2(C,A,B)))) # label(existence_m1_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9377 $T # label(t2_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9378 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> v4_pre_topc(k1_connsp_2(A,B),A))))) # label(t32_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9379 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> ((exists D (C = k6_setfam_1(u1_struct_0(A),D) & (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(E,A) & v4_pre_topc(E,A) & r2_hidden(B,E) <-> r2_hidden(E,D)))) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) <-> k1_connsp_2(A,B) = C))))))) # label(d7_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9380 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (m1_connsp_2(C,A,B) & r2_hidden(B,D) & r4_connsp_1(A,C,D) -> m1_connsp_2(D,A,B)))))) <-> r1_connsp_2(A,B)))))) # label(t19_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9381 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(v2_connsp_1(D,A) & r1_tarski(D,C) & m1_connsp_2(D,A,B)))) & m1_connsp_2(C,A,B)))) <-> r1_connsp_2(A,B)))))) # label(d3_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9382 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(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(k3_pre_topc(A,B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_pre_topc(A,B)))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (all F (m1_subset_1(F,u1_struct_0(A)) -> (F = C & E = D & m1_connsp_2(E,A,F) -> m1_connsp_2(D,k3_pre_topc(A,B),C)))))))))))))) # label(t12_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9383 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(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,k1_zfmisc_1(u1_struct_0(A))) -> -(r1_tarski(D,B) & m1_connsp_2(D,A,C)))) & r2_hidden(C,B)))) <-> v3_pre_topc(B,A)))))) # label(t9_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9384 (all A (l1_pre_topc(A) & v2_pre_topc(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))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (m1_connsp_2(C,A,B) & m1_connsp_2(D,A,B) -> m1_connsp_2(k4_subset_1(u1_struct_0(A),C,D),A,B)))))))))) # label(t3_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9385 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> ((all 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))) -> -(k1_xboole_0 != B & k2_pre_topc(A) != C & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(D,A) & r1_tarski(B,D) & r1_tarski(k6_pre_topc(A,D),C)))) & v3_pre_topc(C,A) & v4_pre_topc(B,A) & r1_tarski(B,C)))))) <-> v5_compts_1(A)))) # label(t26_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9386 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r1_tarski(k1_connsp_1(A,B),k1_connsp_2(A,B)))))) # label(t33_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9387 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (v1_connsp_2(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(k3_pre_topc(A,B)))) & -v1_xboole_0(C) -> -(v2_connsp_1(C,k3_pre_topc(A,B)) & v3_pre_topc(C,k3_pre_topc(A,B)) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(D,A) & C = k5_subset_1(u1_struct_0(A),B,D) & v2_connsp_1(D,A)))))))))))) # label(t25_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9388 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r2_hidden(B,k1_connsp_2(A,B)))))) # label(t30_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9389 $T # label(t1_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9390 $T # label(t7_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9391 $T # label(t19_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9392 $T # label(t36_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9393 $T # label(t41_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9394 $T # label(t6_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9395 $T # label(t11_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9396 $T # label(t27_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9397 $T # label(t15_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9398 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v5_rlvect_1(C) & v6_rlvect_1(C) & v12_vectsp_1(C,A) & l4_vectsp_1(C,A) & v4_rlvect_1(C) & -v3_struct_0(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (D = k1_rlvect_1(C) | B = k1_rlvect_1(A) <-> k6_vectsp_1(A,C,B,D) = k1_rlvect_1(C)))))))))) # label(t25_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9399 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v3_struct_0(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & l1_vectsp_2(C,A) & v5_vectsp_2(C,A) & v4_rlvect_1(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (k6_vectsp_2(A,C,B,D) = k1_rlvect_1(C) <-> k1_rlvect_1(A) = B | D = k1_rlvect_1(C)))))))))) # label(t42_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9400 $T # label(t34_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9401 $T # label(t20_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9402 $T # label(t9_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9403 $T # label(t35_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9404 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v5_rlvect_1(C) & l1_vectsp_2(C,A) & v5_vectsp_2(C,A) & v6_rlvect_1(C) & v4_rlvect_1(C) & -v3_struct_0(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (B != k1_rlvect_1(A) -> k6_vectsp_2(A,C,k1_vectsp_2(A,B),k6_vectsp_2(A,C,B,D)) = D))))))))) # label(t43_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9405 $T # label(t18_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9406 $T # label(t17_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9407 $T # label(t33_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9408 $T # label(t12_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9409 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> k6_vectsp_2(A,B,k5_rlvect_1(A,C),D) = k5_rlvect_1(B,k6_vectsp_2(A,B,C,D)) & k2_rlvect_1(B,E,k6_vectsp_2(A,B,k5_rlvect_1(A,C),D)) = k6_rlvect_1(B,E,k6_vectsp_2(A,B,C,D)))))))))))) # label(t38_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9410 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v9_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v4_rlvect_1(C) & l4_vectsp_1(C,A) & v12_vectsp_1(C,A) & v6_rlvect_1(C) & v5_rlvect_1(C) & -v3_struct_0(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (B != k1_rlvect_1(A) -> k6_vectsp_1(A,C,k1_vectsp_2(A,B),k6_vectsp_1(A,C,B,D)) = D))))))))) # label(t26_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9411 $T # label(t21_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9412 $T # label(t5_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9413 $T # label(t16_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9414 $T # label(t31_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9415 $T # label(t3_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9416 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> k6_vectsp_2(A,B,k5_rlvect_1(A,k2_group_1(A)),D) = k5_rlvect_1(B,D) & k6_vectsp_2(A,B,C,k1_rlvect_1(B)) = k1_rlvect_1(B) & k6_vectsp_2(A,B,k1_rlvect_1(A),D) = k1_rlvect_1(B))))))))) # label(t37_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9417 $T # label(t10_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9418 $T # label(t8_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9419 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) -> (all B (v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> k6_vectsp_2(A,B,C,k6_rlvect_1(B,D,E)) = k6_rlvect_1(B,k6_vectsp_2(A,B,C,D),k6_vectsp_2(A,B,C,E)))))))))))) # label(t40_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9420 $T # label(t22_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9421 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> k6_vectsp_2(A,B,C,k5_rlvect_1(B,D)) = k5_rlvect_1(B,k6_vectsp_2(A,B,C,D)))))))))) # label(t39_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9422 $T # label(t29_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9423 $T # label(t32_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9424 $T # label(t24_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9425 $T # label(t28_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9426 $T # label(t23_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9427 $T # label(t1_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9428 $T # label(t2_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9429 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k1_group_1(A,B,k5_rlvect_1(A,k2_group_1(A))) = k5_rlvect_1(A,B))))) # label(t13_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9430 $T # label(t30_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9431 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & v5_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k1_group_1(A,k5_rlvect_1(A,k2_group_1(A)),B) = k5_rlvect_1(A,B))))) # label(t14_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9432 $T # label(t4_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9433 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) & v3_vectsp_2(C,A) -> (C = k1_rmod_2(A,B) <-> u1_struct_0(C) = k6_domain_1(u1_struct_0(B),k1_rlvect_1(B))))))))) # label(d3_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9434 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_subset_1(E,u1_struct_0(D)) -> (E = C -> k5_rlvect_1(D,E) = k5_rlvect_1(B,C)))))))))))) # label(t23_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9435 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> m1_rmod_2(k1_rmod_2(A,B),A,C))))))) # label(t50_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9436 (all A (v3_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> ((all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (r2_hidden(E,C) & r2_hidden(D,C) -> r2_hidden(k4_rlvect_1(B,D,E),C)))))) & (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (r2_hidden(E,C) -> r2_hidden(k6_vectsp_2(A,B,D,E),C)))))) <-> v1_rmod_2(C,A,B)))))))) # label(d1_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9437 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> m2_rmod_2(k6_domain_1(u1_struct_0(B),C),A,B,k1_rmod_2(A,B)))))))) # label(t84_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9438 (all A (v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> r1_rlvect_1(D,k1_rlvect_1(C)))))))))) # label(t26_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9439 (all A (v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_rmod_2(D,A,B) -> (all E (m2_rmod_2(E,A,B,D) -> (k3_rmod_2(A,B,C,D) = E <-> r2_hidden(C,E)))))))))))) # label(t90_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9440 (all A (v5_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> v1_rmod_2(k6_domain_1(u1_struct_0(B),k1_rlvect_1(B)),A,B))))) # label(t7_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9441 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> -((all F (m1_subset_1(F,u1_struct_0(B)) -> -(D = k4_rlvect_1(B,C,F) & r1_rlvect_1(E,F)))) & k3_rmod_2(A,B,D,E) = k3_rmod_2(A,B,C,E)))))))))))) # label(t77_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9442 (all A (v4_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> ((exists E (D = k3_rmod_2(A,B,E,C) & m1_subset_1(E,u1_struct_0(B)))) <-> m2_rmod_2(D,A,B,C)))))))))) # label(d6_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9443 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (v1_rmod_2(C,A,B) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (r2_hidden(D,C) -> r2_hidden(k5_rlvect_1(B,D),C))))))))))) # label(t5_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9444 (all A all B (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & l3_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all C (m1_rmod_2(C,A,B) -> v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & l1_vectsp_2(C,A) & v5_vectsp_2(C,A) & v3_rlvect_1(C) & -v3_struct_0(C))))) # label(dt_m1_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9445 $T # label(t11_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.18/118.76	9446 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v3_vectsp_2(B,A) & v3_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) & v3_vectsp_2(C,A) -> (u1_struct_0(B) = u1_struct_0(C) -> C = B))))))) # label(t39_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.76	9447 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> -(C != k1_xboole_0 & (all D (v3_vectsp_2(D,A) & m1_rmod_2(D,A,B) -> C != u1_struct_0(D))) & v1_rmod_2(C,A,B)))))))) # label(t42_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.76	9448 (all A all B all C all D (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & m1_rmod_2(D,A,B) & m1_subset_1(C,u1_struct_0(B)) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> m1_subset_1(k3_rmod_2(A,B,C,D),k1_zfmisc_1(u1_struct_0(B))))) # label(dt_k3_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.76	9449 (all A (v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_2(C,A) & v5_vectsp_2(C,A) & v6_rlvect_1(C) & v5_rlvect_1(C) & -v3_struct_0(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (all E (m1_rmod_2(E,A,C) -> (r1_rlvect_1(E,D) -> r1_rlvect_1(E,k6_vectsp_2(A,C,B,D))))))))))))) # label(t29_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.76	9450 (all A all B all C all D all E (v6_rlvect_1(B) & v4_group_1(B) & v7_vectsp_1(B) & v3_rlvect_1(C) & v6_rlvect_1(C) & v5_vectsp_2(C,B) & m1_subset_1(D,u1_struct_0(C)) & m1_rmod_2(E,B,C) & l1_vectsp_2(C,B) & v5_rlvect_1(C) & v4_rlvect_1(C) & -v3_struct_0(C) & l3_vectsp_1(B) & v8_vectsp_1(B) & v6_vectsp_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> ((exists F (m1_subset_1(F,u1_struct_0(C)) & A = k4_rlvect_1(C,D,F) & r1_rlvect_1(E,F))) <-> r2_hidden(A,a_4_1_rmod_2(B,C,D,E))))) # label(fraenkel_a_4_1_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.76	9451 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_rmod_2(D,A,B) & v3_vectsp_2(D,A) -> (all E (m1_rmod_2(E,A,B) & v3_vectsp_2(E,A) -> (k3_rmod_2(A,B,C,E) = k3_rmod_2(A,B,C,D) <-> E = D))))))))))) # label(t79_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.76	9452 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (v3_vectsp_2(C,A) & m1_rmod_2(C,A,B) -> (all D (v3_vectsp_2(D,A) & m1_rmod_2(D,A,B) -> (all E (m2_rmod_2(E,A,B,C) -> (all F (m2_rmod_2(F,A,B,D) -> (F = E -> C = D))))))))))))) # label(t83_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.76	9453 (all A (v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (r1_tarski(u1_struct_0(C),u1_struct_0(D)) -> m1_rmod_2(C,A,D)))))))))) # label(t35_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.76	9454 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (C = u1_struct_0(B) -> v1_rmod_2(C,A,B)))))))) # label(t8_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.76	9455 $T # label(t3_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.76	9456 $T # label(t14_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.76	9457 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> m1_rmod_2(k1_rmod_2(A,C),A,D))))))))) # label(t51_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.76	9458 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> u1_struct_0(B) = k3_rmod_2(A,B,C,k2_rmod_2(A,B)))))))) # label(t62_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.76	9459 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> k1_rlvect_1(B) = k1_rlvect_1(C))))))) # label(t19_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.76	9460 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> m2_rmod_2(u1_struct_0(C),A,B,C))))))) # label(t86_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.76	9461 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) -> (all B (-v3_struct_0(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (v1_rmod_2(C,A,B) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (r2_hidden(E,C) & r2_hidden(D,C) -> r2_hidden(k6_rlvect_1(B,D,E),C))))))))))))) # label(t6_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.76	9462 (all A (v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> r1_rlvect_1(B,k1_rlvect_1(C)))))))) # label(t27_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.76	9463 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_rlvect_1(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_rmod_2(D,A,B) -> (all E (m2_rmod_2(E,A,B,D) -> (all F (m2_rmod_2(F,A,B,D) -> (r2_hidden(C,F) & r2_hidden(C,E) -> E = F))))))))))))) # label(t94_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9464 $T # label(t1_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9465 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> (all F (m2_rmod_2(F,A,B,E) -> -(r2_hidden(D,F) & (all G (m1_subset_1(G,u1_struct_0(B)) -> -(k4_rlvect_1(B,C,G) = D & r1_rlvect_1(E,G)))) & r2_hidden(C,F)))))))))))))) # label(t91_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9466 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (l1_vectsp_2(C,A) & v5_vectsp_2(C,A) & v6_rlvect_1(C) & v5_rlvect_1(C) & v4_rlvect_1(C) & v3_rlvect_1(C) & -v3_struct_0(C) -> (all D (v6_rlvect_1(D) & v5_vectsp_2(D,A) & l1_vectsp_2(D,A) & v5_rlvect_1(D) & v4_rlvect_1(D) & v3_rlvect_1(D) & -v3_struct_0(D) -> (m1_rmod_2(C,A,D) & m1_rmod_2(B,A,C) -> m1_rmod_2(B,A,D)))))))))) # label(t34_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9467 (all A (v3_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_rmod_2(D,A,B) -> (r2_hidden(k1_rlvect_1(B),k3_rmod_2(A,B,C,D)) <-> r1_rlvect_1(D,C)))))))))) # label(t58_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9468 $T # label(t45_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9469 (all A (v5_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> m2_rmod_2(u1_struct_0(B),A,B,k2_rmod_2(A,B)))))) # label(t87_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9470 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & v3_rlvect_1(C) & v6_rlvect_1(C) & l1_vectsp_2(C,A) & v5_vectsp_2(C,A) & v5_rlvect_1(C) & v4_rlvect_1(C) -> (m1_rmod_2(C,A,B) <-> u2_struct_0(C) = u2_struct_0(B) & k7_relat_1(u1_rlvect_1(B),k2_zfmisc_1(u1_struct_0(C),u1_struct_0(C))) = u1_rlvect_1(C) & u1_vectsp_2(A,C) = k7_relat_1(u1_vectsp_2(A,B),k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A))) & r1_tarski(u1_struct_0(C),u1_struct_0(B))))))))) # label(d2_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9471 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v3_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) -> m1_rmod_2(B,A,k2_rmod_2(A,B)))))) # label(t53_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9472 (all A all B all C (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & m1_rmod_2(C,A,B) & l1_vectsp_2(B,A) & v4_rlvect_1(B) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all D (m2_rmod_2(D,A,B,C) -> m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))))))) # label(dt_m2_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9473 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> (r1_rlvect_1(E,k6_rlvect_1(B,C,D)) <-> (exists F (r2_hidden(D,F) & r2_hidden(C,F) & m2_rmod_2(F,A,B,E)))))))))))))) # label(t93_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9474 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> (r1_rlvect_1(E,C) <-> k3_rmod_2(A,B,k6_rlvect_1(B,D,C),E) = k3_rmod_2(A,B,D,E)))))))))))) # label(t67_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9475 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> ((exists F (m1_subset_1(F,u1_struct_0(B)) & r2_hidden(D,k3_rmod_2(A,B,F,E)) & r2_hidden(C,k3_rmod_2(A,B,F,E)))) <-> r1_rlvect_1(E,k6_rlvect_1(B,C,D))))))))))))) # label(t76_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9476 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) -> (all B (v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> m1_rmod_2(k1_rmod_2(A,C),A,B))))))) # label(t49_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9477 $T # label(t52_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9478 $T # label(t2_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9479 (all A all B (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) & v8_vectsp_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> m1_rmod_2(k2_rmod_2(A,B),A,B) & v3_vectsp_2(k2_rmod_2(A,B),A))) # label(dt_k2_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9480 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> (r1_rlvect_1(E,C) <-> k3_rmod_2(A,B,k4_rlvect_1(B,D,C),E) = k3_rmod_2(A,B,D,E)))))))))))) # label(t66_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9481 (all A all B (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (exists C m1_rmod_2(C,A,B)))) # label(existence_m1_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9482 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> (all F (m1_subset_1(F,u1_struct_0(E)) -> (all G (m1_subset_1(G,u1_struct_0(E)) -> (G = D & F = C -> k6_rlvect_1(E,F,G) = k6_rlvect_1(B,C,D)))))))))))))))) # label(t24_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9483 $T # label(t55_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9484 $T # label(t54_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9485 (all A all B (v5_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (exists C (m1_rmod_2(C,A,B) & -v3_struct_0(C) & v5_vectsp_2(C,A) & v3_vectsp_2(C,A) & v6_rlvect_1(C) & v5_rlvect_1(C) & v4_rlvect_1(C) & v3_rlvect_1(C))))) # label(rc1_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9486 $T # label(t56_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9487 (all A all B (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v3_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & v8_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> v3_vectsp_2(k1_rmod_2(A,B),A) & m1_rmod_2(k1_rmod_2(A,B),A,B))) # label(dt_k1_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9488 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> ((all E (m1_subset_1(E,u1_struct_0(B)) -> (r1_rlvect_1(C,E) -> r1_rlvect_1(D,E)))) -> m1_rmod_2(C,A,D)))))))))) # label(t36_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9489 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> (r2_hidden(C,k3_rmod_2(A,B,D,E)) <-> (exists F (m1_subset_1(F,u1_struct_0(B)) & r1_rlvect_1(E,F) & k6_rlvect_1(B,D,F) = C))))))))))))) # label(t75_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9490 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> r1_rlvect_1(C,k1_rlvect_1(B)))))))) # label(t25_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9491 (all A (v4_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_rmod_2(D,A,B) -> (r1_rlvect_1(D,C) <-> u1_struct_0(D) = k3_rmod_2(A,B,C,D)))))))))) # label(t64_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9492 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) & v3_vectsp_2(C,A) -> (all D (m1_rmod_2(D,A,B) & v3_vectsp_2(D,A) -> (u1_struct_0(D) = u1_struct_0(C) -> C = D))))))))) # label(t37_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9493 (all A all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v4_group_1(B) & v6_vectsp_1(B) & v7_vectsp_1(B) & l3_vectsp_1(B) & v8_vectsp_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_vectsp_2(C,B) & l1_vectsp_2(C,B) & v6_rlvect_1(C) & v5_rlvect_1(C) -> (all D (m1_rmod_2(D,B,C) -> (r1_rlvect_1(D,A) -> r1_rlvect_1(C,A)))))))) # label(t17_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9494 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v4_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> k1_rmod_2(A,B) = k1_rmod_2(A,C))))))) # label(t47_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9495 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> (k3_rmod_2(A,B,C,E) = k3_rmod_2(A,B,D,E) <-> r2_hidden(C,k3_rmod_2(A,B,D,E))))))))))))) # label(t68_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9496 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> -((all D (m1_subset_1(D,u1_struct_0(B)) -> C != k6_domain_1(u1_struct_0(B),D))) & m2_rmod_2(C,A,B,k1_rmod_2(A,B))))))))) # label(t85_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9497 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (m2_rmod_2(C,A,B,k2_rmod_2(A,B)) -> C = u1_struct_0(B)))))))) # label(t88_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9498 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> k2_rmod_2(A,B) = g1_vectsp_2(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u1_vectsp_2(A,B)))))) # label(d4_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9499 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (v1_rmod_2(D,A,B) & v1_rmod_2(C,A,B) -> v1_rmod_2(k5_subset_1(u1_struct_0(B),C,D),A,B)))))))))) # label(t10_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9500 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> (r2_hidden(k6_rlvect_1(B,C,D),k3_rmod_2(A,B,C,E)) <-> r1_rlvect_1(E,D)))))))))))) # label(t73_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9501 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m2_rmod_2(D,A,B,C) -> (D = u1_struct_0(C) <-> v1_rmod_2(D,A,B)))))))))) # label(t82_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9502 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> (all F (m2_rmod_2(F,A,B,E) -> -(r2_hidden(C,F) & r2_hidden(D,F) & (all G (m1_subset_1(G,u1_struct_0(B)) -> -(D = k6_rlvect_1(B,C,G) & r1_rlvect_1(E,G))))))))))))))))) # label(t92_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9503 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m2_rmod_2(D,A,B,C) -> (r2_hidden(k1_rlvect_1(B),D) <-> u1_struct_0(C) = D))))))))) # label(t89_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9504 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v5_rlvect_1(C) & v5_vectsp_2(C,A) & l1_vectsp_2(C,A) & v6_rlvect_1(C) & v4_rlvect_1(C) & v3_rlvect_1(C) & -v3_struct_0(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (all E (m1_rmod_2(E,A,C) -> (r1_rlvect_1(E,D) -> u1_struct_0(E) = k3_rmod_2(A,C,k6_vectsp_2(A,C,B,D),E)))))))))))) # label(t65_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9505 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (v1_rmod_2(C,A,B) -> r2_hidden(k1_rlvect_1(B),C) | C = k1_xboole_0))))))) # label(t4_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9506 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_rmod_2(D,A,B) -> (r1_rlvect_1(D,C) -> r1_rlvect_1(D,k5_rlvect_1(B,C))))))))))) # label(t30_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9507 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> -(k3_rmod_2(A,B,D,E) = k3_rmod_2(A,B,C,E) & (all F (m1_subset_1(F,u1_struct_0(B)) -> -(k6_rlvect_1(B,C,F) = D & r1_rlvect_1(E,F))))))))))))))) # label(t78_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9508 (all A all B all C (v4_rlvect_1(A) & v6_rlvect_1(A) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_2(B,A) & m1_rmod_2(C,A,B) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (exists D m2_rmod_2(D,A,B,C)))) # label(existence_m2_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9509 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_rmod_2(D,A,B) -> r2_hidden(C,k3_rmod_2(A,B,C,D)))))))))) # label(t59_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9510 $T # label(t74_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9511 $T # label(t13_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9512 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> u1_struct_0(C) = k3_rmod_2(A,B,k1_rlvect_1(B),C))))))) # label(t60_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9513 (all A (v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_rmod_2(D,A,B) -> (r1_rlvect_1(D,C) -> r2_hidden(k5_rlvect_1(B,C),k3_rmod_2(A,B,C,D))))))))))) # label(t71_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9514 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) -> (a_4_0_rmod_2(A,B,C,D) = E & v1_rmod_2(D,A,B) & v1_rmod_2(C,A,B) -> v1_rmod_2(E,A,B)))))))))))) # label(t9_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9515 (all A all B (v3_rlvect_1(B) & v4_group_1(B) & l3_vectsp_1(B) & v8_vectsp_1(B) & v7_vectsp_1(B) & v6_vectsp_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v5_vectsp_2(C,B) & l1_vectsp_2(C,B) -> (r1_rlvect_1(k1_rmod_2(B,C),A) <-> A = k1_rlvect_1(C)))))) # label(t46_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9516 $T # label(t15_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9517 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> m1_subset_1(D,u1_struct_0(B)))))))))) # label(t18_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9518 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_rmod_2(D,A,B) -> (exists E (m2_rmod_2(E,A,B,D) & r2_hidden(C,E))))))))))) # label(t81_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9519 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (all F (m1_rmod_2(F,A,B) -> (r2_hidden(C,k3_rmod_2(A,B,E,F)) & r2_hidden(C,k3_rmod_2(A,B,D,F)) -> k3_rmod_2(A,B,D,F) = k3_rmod_2(A,B,E,F)))))))))))))) # label(t69_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9520 (all A all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v4_group_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & v7_vectsp_1(B) & v6_vectsp_1(B) & v3_rlvect_1(B) -> (all C (v4_rlvect_1(C) & v5_rlvect_1(C) & v5_vectsp_2(C,B) & l1_vectsp_2(C,B) & v6_rlvect_1(C) & v3_rlvect_1(C) & -v3_struct_0(C) -> (all D (m1_rmod_2(D,B,C) -> (all E (m1_rmod_2(E,B,C) -> (r1_rlvect_1(D,A) & m1_rmod_2(D,B,E) -> r1_rlvect_1(E,A)))))))))) # label(t16_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9521 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) -> m1_rmod_2(B,A,B))))) # label(t32_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9522 $T # label(t43_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9523 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> (r1_rlvect_1(E,D) & r1_rlvect_1(E,C) -> r1_rlvect_1(E,k6_rlvect_1(B,C,D))))))))))))) # label(t31_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9524 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v5_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> k1_rmod_2(A,D) = k1_rmod_2(A,C))))))))) # label(t48_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9525 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_rmod_2(D,A,B) -> (k3_rmod_2(A,B,C,D) = u1_struct_0(D) <-> r2_hidden(k1_rlvect_1(B),k3_rmod_2(A,B,C,D))))))))))) # label(t63_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9526 (all A all B all C all D all E (v3_rlvect_1(B) & v5_rlvect_1(B) & v6_vectsp_1(B) & -v3_struct_0(C) & v3_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & l1_vectsp_2(C,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) & v5_vectsp_2(C,B) & v4_rlvect_1(C) & l3_vectsp_1(B) & v8_vectsp_1(B) & v7_vectsp_1(B) & v4_group_1(B) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> ((exists F exists G (m1_subset_1(F,u1_struct_0(C)) & r2_hidden(G,E) & r2_hidden(F,D) & k4_rlvect_1(C,F,G) = A & m1_subset_1(G,u1_struct_0(C)))) <-> r2_hidden(A,a_4_0_rmod_2(B,C,D,E))))) # label(fraenkel_a_4_0_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9527 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_rmod_2(D,A,B) -> (C = u1_struct_0(D) -> v1_rmod_2(C,A,B)))))))))) # label(t41_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9528 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> (r2_hidden(k4_rlvect_1(B,C,D),k3_rmod_2(A,B,D,E)) <-> r1_rlvect_1(E,C)))))))))))) # label(t72_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9529 (all A (-v3_struct_0(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v3_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (v3_rlvect_1(C) & v6_rlvect_1(C) & v3_vectsp_2(C,A) & v5_vectsp_2(C,A) & l1_vectsp_2(C,A) & v5_rlvect_1(C) & v4_rlvect_1(C) & -v3_struct_0(C) -> (m1_rmod_2(B,A,C) & m1_rmod_2(C,A,B) -> B = C))))))) # label(t33_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9530 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_rmod_2(D,A,B) -> k3_rmod_2(A,B,C,D) = a_4_1_rmod_2(A,B,C,D))))))))) # label(d5_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9531 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v6_rlvect_1(C) & v5_vectsp_2(C,A) & l1_vectsp_2(C,A) & v5_rlvect_1(C) & v4_rlvect_1(C) & v3_rlvect_1(C) & -v3_struct_0(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (all E (m1_rmod_2(E,A,C) -> (all F (m1_subset_1(F,u1_struct_0(E)) -> (D = F -> k6_vectsp_2(A,E,B,F) = k6_vectsp_2(A,C,B,D)))))))))))))) # label(t22_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9532 (all A (v5_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> k1_rlvect_1(C) = k1_rlvect_1(D))))))))) # label(t20_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9533 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) & v3_vectsp_2(E,A) -> (all F (v3_vectsp_2(F,A) & m1_rmod_2(F,A,B) -> (k3_rmod_2(A,B,D,F) = k3_rmod_2(A,B,C,E) -> E = F))))))))))))) # label(t80_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9534 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v3_vectsp_2(B,A) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) & v3_vectsp_2(C,A) -> ((all D (m1_subset_1(D,u1_struct_0(B)) -> r1_rlvect_1(C,D))) -> C = B))))))) # label(t40_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9535 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> (r1_rlvect_1(E,D) & r1_rlvect_1(E,C) -> r1_rlvect_1(E,k4_rlvect_1(B,C,D))))))))))))) # label(t28_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9536 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v3_struct_0(C) & v5_vectsp_2(C,A) & l1_vectsp_2(C,A) & v6_rlvect_1(C) & v5_rlvect_1(C) & v4_rlvect_1(C) & v3_rlvect_1(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (all E (m1_rmod_2(E,A,C) -> (r1_rlvect_1(E,D) -> r2_hidden(k6_vectsp_2(A,C,B,D),k3_rmod_2(A,C,D,E))))))))))))) # label(t70_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9537 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> (all F (m1_subset_1(F,u1_struct_0(E)) -> (all G (m1_subset_1(G,u1_struct_0(E)) -> (G = D & C = F -> k4_rlvect_1(B,C,D) = k4_rlvect_1(E,F,G)))))))))))))))) # label(t21_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9538 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k3_rmod_2(A,B,C,k1_rmod_2(A,B)) = k6_domain_1(u1_struct_0(B),C))))))) # label(t61_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9539 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v3_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) & v3_vectsp_2(C,A) -> (all D (v3_vectsp_2(D,A) & m1_rmod_2(D,A,B) -> ((all E (m1_subset_1(E,u1_struct_0(B)) -> (r1_rlvect_1(D,E) <-> r1_rlvect_1(C,E)))) -> D = C))))))))) # label(t38_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.77	9540 (all A all B (-v3_struct_0(B) & v4_rlvect_1(B) & l3_vectsp_1(B) & v8_vectsp_1(B) & v7_vectsp_1(B) & v6_vectsp_1(B) & v4_group_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (-v3_struct_0(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & l1_vectsp_2(C,B) & v5_vectsp_2(C,B) & v4_rlvect_1(C) & v3_rlvect_1(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (all E (m1_rmod_2(E,B,C) -> ((exists F (m1_subset_1(F,u1_struct_0(C)) & k4_rlvect_1(C,D,F) = A & r1_rlvect_1(E,F))) <-> r2_hidden(A,k3_rmod_2(B,C,D,E))))))))))) # label(t57_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9541 $T # label(t44_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9542 $T # label(t12_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9543 $T # label(t61_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9544 (all A all B all C all D (v5_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & m1_rmod_2(C,A,B) & m1_rmod_2(D,A,B) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> v3_vectsp_2(k2_rmod_3(A,B,C,D),A) & m1_rmod_2(k2_rmod_3(A,B,C,D),A,B))) # label(dt_k2_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9545 (all A all B all C all D all E (-v3_struct_0(A) & v4_rlvect_1(A) & v6_vectsp_1(A) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & m1_subset_1(C,u1_struct_0(B)) & m1_rmod_2(D,A,B) & m1_rmod_2(E,A,B) & l1_vectsp_2(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> m1_subset_1(k4_rmod_3(A,B,C,D,E),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))))) # label(dt_k4_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9546 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & v3_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) -> B = k2_rmod_3(A,B,k2_rmod_2(A,B),k2_rmod_2(A,B)))))) # label(t28_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9547 (all A (v4_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (k1_rmod_3(A,B,C,D) = B -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (exists F (m1_subset_1(F,u1_struct_0(B)) & (exists G ((exists H (m1_subset_1(H,u1_struct_0(B)) & (exists I (k4_rlvect_1(B,F,G) = E & k4_rlvect_1(B,H,I) = E & -(G = I & F = H) & r1_rlvect_1(D,I) & r1_rlvect_1(D,G) & r1_rlvect_1(C,H) & r1_rlvect_1(C,F) & m1_subset_1(I,u1_struct_0(B)))))) & m1_subset_1(G,u1_struct_0(B)))))))) | r1_rmod_3(A,B,C,D)))))))))) # label(t52_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9548 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) -> B = k1_rmod_3(A,B,k2_rmod_2(A,B),k1_rmod_2(A,B)) & B = k1_rmod_3(A,B,k1_rmod_2(A,B),k2_rmod_2(A,B)))))) # label(t14_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9549 (all A (v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_rmod_2(E,A,B) -> m1_rmod_2(k1_rmod_3(A,B,C,k2_rmod_3(A,B,D,E)),A,k2_rmod_3(A,B,k1_rmod_3(A,B,D,C),k1_rmod_3(A,B,C,E))))))))))))) # label(t34_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9550 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v4_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> -v3_struct_0(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))) & v10_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))) & l3_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))) & v13_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))))))) # label(t64_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9551 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_rmod_2(E,A,B) -> (m1_rmod_2(C,A,D) -> m1_rmod_2(C,A,k1_rmod_3(A,B,D,E))))))))))))) # label(t39_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9552 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) & v3_vectsp_2(C,A) -> k1_rmod_3(A,B,C,k1_rmod_2(A,B)) = C & k1_rmod_3(A,B,k1_rmod_2(A,B),C) = C)))))) # label(t13_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9553 $T # label(t60_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9554 $T # label(t2_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9555 (all A (v4_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (v3_vectsp_2(C,A) & m1_rmod_2(C,A,B) -> k2_rmod_3(A,B,C,C) = C)))))) # label(t17_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9556 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> ((all E (m2_rmod_2(E,A,B,C) -> (all F (m2_rmod_2(F,A,B,D) -> (exists G (m1_subset_1(G,u1_struct_0(B)) & k6_domain_1(u1_struct_0(B),G) = k5_subset_1(u1_struct_0(B),E,F))))))) <-> r1_rmod_3(A,B,C,D)))))))))) # label(t49_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9557 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_rmod_2(E,A,B) -> (m1_rmod_2(C,A,E) & m1_rmod_2(C,A,D) -> m1_rmod_2(C,A,k2_rmod_3(A,B,D,E))))))))))))) # label(t24_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9558 (all A (v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (v3_vectsp_2(E,A) & m1_rmod_2(E,A,B) -> (E = k2_rmod_3(A,B,C,D) <-> u1_struct_0(E) = k3_xboole_0(u1_struct_0(C),u1_struct_0(D))))))))))))) # label(d2_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9559 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (all F (m1_subset_1(F,u1_struct_0(B)) -> (all G (m1_subset_1(G,u1_struct_0(B)) -> (all H (m1_subset_1(H,u1_struct_0(B)) -> (all I (m1_subset_1(I,u1_struct_0(B)) -> (E = k4_rlvect_1(B,F,G) & r1_rlvect_1(D,G) & r1_rlvect_1(D,I) & r1_rlvect_1(C,H) & r1_rlvect_1(C,F) & E = k4_rlvect_1(B,H,I) & r1_rmod_3(A,B,C,D) -> G = I & H = F))))))))))))))))))) # label(t51_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9560 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (r1_rmod_3(A,B,C,D) <-> k2_rmod_3(A,B,C,D) = k1_rmod_2(A,B) & g1_vectsp_2(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u1_vectsp_2(A,B)) = k1_rmod_3(A,B,C,D)))))))))) # label(d4_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9561 (all A (v3_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (r1_rmod_3(A,B,C,D) -> k3_domain_1(u1_struct_0(B),u1_struct_0(B),k4_rmod_3(A,B,E,D,C)) = k2_domain_1(u1_struct_0(B),u1_struct_0(B),k4_rmod_3(A,B,E,C,D))))))))))))) # label(t57_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9562 (all A (v3_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> k2_rmod_3(A,B,k1_rmod_2(A,B),C) = k1_rmod_2(A,B) & k2_rmod_3(A,B,C,k1_rmod_2(A,B)) = k1_rmod_2(A,B))))))) # label(t25_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9563 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) & v3_vectsp_2(C,A) -> k2_rmod_3(A,B,k2_rmod_2(A,B),C) = C & k2_rmod_3(A,B,C,k2_rmod_2(A,B)) = C)))))) # label(t27_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9564 (all A all B all C all D (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v3_rlvect_1(B) & v6_rlvect_1(B) & m1_rmod_2(D,A,B) & m1_rmod_2(C,A,B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & v8_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> m1_rmod_2(k1_rmod_3(A,B,C,D),A,B) & v3_vectsp_2(k1_rmod_3(A,B,C,D),A))) # label(dt_k1_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9565 (all A (-v3_struct_0(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_rmod_2(E,A,B) -> (m1_rmod_2(C,A,D) -> k1_rmod_3(A,B,D,k2_rmod_3(A,B,C,E)) = k2_rmod_3(A,B,k1_rmod_3(A,B,C,D),k1_rmod_3(A,B,D,E))))))))))))) # label(t35_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9566 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> m1_rmod_2(k2_rmod_3(A,B,C,D),A,k1_rmod_3(A,B,C,D)))))))))) # label(t29_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9567 $T # label(t42_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9568 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) & v3_vectsp_2(C,A) -> (all D (m1_rmod_2(D,A,B) & v3_vectsp_2(D,A) -> (D = k1_rmod_3(A,B,C,D) <-> k2_rmod_3(A,B,C,D) = C))))))))) # label(t37_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9569 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> -v3_struct_0(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))) & v10_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))) & v15_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))) & l3_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))))))) # label(t66_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9570 (all A all B (v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> m2_relset_1(k5_rmod_3(A,B),k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B)) & v1_funct_2(k5_rmod_3(A,B),k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B)) & v1_funct_1(k5_rmod_3(A,B)))) # label(dt_k5_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9571 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (r1_rlvect_1(D,E) | r1_rlvect_1(C,E) -> r1_rlvect_1(k1_rmod_3(A,B,C,D),E)))))))))))) # label(t6_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9572 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E ((exists F (m1_subset_1(F,u1_struct_0(B)) & (exists G (r1_rlvect_1(C,F) & r1_rlvect_1(D,G) & k4_rlvect_1(B,F,G) = E & m1_subset_1(G,u1_struct_0(B)))))) <-> r1_rlvect_1(k1_rmod_3(A,B,C,D),E))))))))))) # label(t5_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9573 $T # label(t54_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9574 $T # label(t4_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9575 (all A all B all C all D all E (v5_rlvect_1(B) & v6_rlvect_1(B) & v6_vectsp_1(B) & l3_vectsp_1(B) & -v3_struct_0(C) & v4_rlvect_1(C) & v5_vectsp_2(C,B) & m1_rmod_2(E,B,C) & m1_rmod_2(D,B,C) & l1_vectsp_2(C,B) & v6_rlvect_1(C) & v5_rlvect_1(C) & v3_rlvect_1(C) & v8_vectsp_1(B) & v7_vectsp_1(B) & v4_group_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> ((exists F exists G (m1_subset_1(F,u1_struct_0(C)) & k4_rlvect_1(C,F,G) = A & r1_rlvect_1(D,F) & r1_rlvect_1(E,G) & m1_subset_1(G,u1_struct_0(C)))) <-> r2_hidden(A,a_4_0_rmod_3(B,C,D,E))))) # label(fraenkel_a_4_0_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9576 (all A all B (v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> v1_funct_2(k6_rmod_3(A,B),k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B)) & m2_relset_1(k6_rmod_3(A,B),k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B)) & v1_funct_1(k6_rmod_3(A,B)))) # label(dt_k6_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9577 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) & v3_vectsp_2(C,A) -> k1_rmod_3(A,B,C,C) = C)))))) # label(t8_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9578 $T # label(t53_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9579 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m2_rmod_2(E,A,B,C) -> (all F (m2_rmod_2(F,A,B,D) -> (-r1_xboole_0(E,F) -> m2_rmod_2(k5_subset_1(u1_struct_0(B),E,F),A,B,k2_rmod_3(A,B,C,D))))))))))))))) # label(t48_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9580 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> l3_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))) & v14_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))) & v10_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))) & -v3_struct_0(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))))))) # label(t65_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9581 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> m1_rmod_2(C,A,k1_rmod_3(A,B,C,D)) & m1_rmod_2(D,A,k1_rmod_3(A,B,C,D)))))))))) # label(t11_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9582 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_rmod_2(E,A,B) -> (r1_rmod_3(A,B,D,E) -> (all F (m1_subset_1(F,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))) -> (k4_rlvect_1(B,k2_domain_1(u1_struct_0(B),u1_struct_0(B),F),k3_domain_1(u1_struct_0(B),u1_struct_0(B),F)) = C & r1_rlvect_1(E,k3_domain_1(u1_struct_0(B),u1_struct_0(B),F)) & r1_rlvect_1(D,k2_domain_1(u1_struct_0(B),u1_struct_0(B),F)) <-> k4_rmod_3(A,B,C,D,E) = F)))))))))))))) # label(d5_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9583 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_rmod_2(E,A,B) -> (m1_rmod_2(E,A,D) & m1_rmod_2(C,A,D) -> m1_rmod_2(k1_rmod_3(A,B,C,E),A,D)))))))))))) # label(t40_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9584 (all A all B (v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & -v3_struct_0(B) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> -v1_xboole_0(k3_rmod_3(A,B)))) # label(fc1_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9585 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B)) & v1_funct_2(C,k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B)) -> (k6_rmod_3(A,B) = C <-> (all D (m1_subset_1(D,k3_rmod_3(A,B)) -> (all E (m1_subset_1(E,k3_rmod_3(A,B)) -> (all F (m1_rmod_2(F,A,B) -> (all G (m1_rmod_2(G,A,B) -> (G = E & F = D -> k2_binop_1(k3_rmod_3(A,B),k3_rmod_3(A,B),k3_rmod_3(A,B),C,D,E) = k2_rmod_3(A,B,F,G))))))))))))))))) # label(d7_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9586 $T # label(t55_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9587 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (C = k3_rmod_3(A,B) <-> (all D (r2_hidden(D,C) <-> (exists E (m1_rmod_2(E,A,B) & D = E & v3_vectsp_2(E,A))))))))))) # label(d3_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9588 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_rmod_2(E,A,B) -> (m1_rmod_2(C,A,D) -> m1_rmod_2(k2_rmod_3(A,B,C,E),A,k2_rmod_3(A,B,D,E))))))))))))) # label(t22_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9589 (all A (v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> -((exists E (k2_xboole_0(u1_struct_0(C),u1_struct_0(D)) = u1_struct_0(E) & m1_rmod_2(E,A,B))) & -m1_rmod_2(C,A,D) & -m1_rmod_2(D,A,C)) & -((m1_rmod_2(D,A,C) | m1_rmod_2(C,A,D)) & (all E (m1_rmod_2(E,A,B) -> k2_xboole_0(u1_struct_0(C),u1_struct_0(D)) != u1_struct_0(E)))))))))))) # label(t41_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9590 $T # label(t26_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9591 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v3_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_rmod_2(E,A,B) -> (m1_rmod_2(C,A,D) -> m1_rmod_2(k2_rmod_3(A,B,C,E),A,D)))))))))))) # label(t23_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9592 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (v3_vectsp_2(D,A) & m1_rmod_2(D,A,B) -> (m1_rmod_2(D,A,C) -> k2_rmod_3(A,B,D,C) = D))) & (all D (m1_rmod_2(D,A,B) -> (k2_rmod_3(A,B,D,C) = D -> m1_rmod_2(D,A,C)))))))))) # label(t21_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9593 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_rmod_2(E,A,B) -> (m1_rmod_2(C,A,D) -> k2_rmod_3(A,B,D,k1_rmod_3(A,B,C,E)) = k1_rmod_3(A,B,k2_rmod_3(A,B,C,D),k2_rmod_3(A,B,D,E))))))))))))) # label(t33_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9594 $T # label(t45_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9595 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (v3_vectsp_2(D,A) & m1_rmod_2(D,A,B) -> (k1_rmod_3(A,B,C,D) = D <-> m1_rmod_2(C,A,D)))))))))) # label(t12_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9596 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v4_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) & v3_vectsp_2(D,A) -> (all E (m1_rmod_2(E,A,B) & v3_vectsp_2(E,A) -> (m1_rmod_2(C,A,D) -> m1_rmod_2(k1_rmod_3(A,B,C,E),A,k1_rmod_3(A,B,D,E))))))))))))) # label(t38_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9597 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) & v3_vectsp_2(D,A) -> D = k1_rmod_3(A,B,k2_rmod_3(A,B,C,D),D))))))))) # label(t30_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9598 (all A (-v3_struct_0(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v4_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (r1_rlvect_1(C,E) & r1_rlvect_1(D,E) <-> r1_rlvect_1(k2_rmod_3(A,B,C,D),E))))))))))) # label(t7_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9599 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (v1_funct_2(C,k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B)) & m2_relset_1(C,k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B)) & v1_funct_1(C) -> (C = k5_rmod_3(A,B) <-> (all D (m1_subset_1(D,k3_rmod_3(A,B)) -> (all E (m1_subset_1(E,k3_rmod_3(A,B)) -> (all F (m1_rmod_2(F,A,B) -> (all G (m1_rmod_2(G,A,B) -> (F = D & G = E -> k1_rmod_3(A,B,F,G) = k2_binop_1(k3_rmod_3(A,B),k3_rmod_3(A,B),k3_rmod_3(A,B),C,D,E))))))))))))))))) # label(d6_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9600 (all A (v4_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (r1_rmod_3(A,B,C,D) -> k2_domain_1(u1_struct_0(B),u1_struct_0(B),k4_rmod_3(A,B,E,D,C)) = k3_domain_1(u1_struct_0(B),u1_struct_0(B),k4_rmod_3(A,B,E,C,D))))))))))))) # label(t58_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9601 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v3_rlvect_1(A) -> (all B (v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> m1_rmod_2(k2_rmod_3(A,B,C,D),A,C) & m1_rmod_2(k2_rmod_3(A,B,C,D),A,D))))))))) # label(t20_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9602 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> k1_rmod_3(A,B,D,C) = k1_rmod_3(A,B,C,D))))))))) # label(t9_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9603 $T # label(t62_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9604 $T # label(t1_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9605 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v3_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) -> r2_hidden(B,k3_rmod_3(A,B)))))) # label(t44_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9606 (all A (v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (r1_rmod_3(A,B,C,D) -> r1_rmod_3(A,B,D,C)))))))))) # label(t46_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9607 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> g1_vectsp_2(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u1_vectsp_2(A,B)) = k1_rmod_3(A,B,C,k2_rmod_2(A,B)) & g1_vectsp_2(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u1_vectsp_2(A,B)) = k1_rmod_3(A,B,k2_rmod_2(A,B),C))))))) # label(t15_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9608 $T # label(t56_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9609 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> -v3_struct_0(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))) & l3_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))) & v12_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))) & v10_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))))))) # label(t67_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9610 $T # label(t59_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9611 (all A (-v3_struct_0(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v6_rlvect_1(B) & v3_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (B = k1_rmod_3(A,B,C,D) <-> (all E (m1_subset_1(E,u1_struct_0(B)) -> (exists F ((exists G (m1_subset_1(G,u1_struct_0(B)) & r1_rlvect_1(C,F) & k4_rlvect_1(B,F,G) = E & r1_rlvect_1(D,G))) & m1_subset_1(F,u1_struct_0(B))))))))))))))) # label(t50_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9612 (all A (-v3_struct_0(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_rmod_2(E,A,B) & v3_vectsp_2(E,A) -> (m1_rmod_2(E,A,C) -> k2_rmod_3(A,B,k1_rmod_3(A,B,E,D),C) = k1_rmod_3(A,B,E,k2_rmod_3(A,B,D,C))))))))))))) # label(t36_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9613 $T # label(dt_k3_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9614 $T # label(t43_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9615 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> v10_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))) & l3_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))) & -v3_struct_0(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))))))) # label(t63_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9616 $T # label(t3_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9617 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v6_rlvect_1(B) & v3_vectsp_2(B,A) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> k1_rmod_3(A,B,k2_rmod_2(A,B),k2_rmod_2(A,B)) = B)))) # label(t16_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9618 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (v3_vectsp_2(E,A) & m1_rmod_2(E,A,B) -> (E = k1_rmod_3(A,B,C,D) <-> a_4_0_rmod_3(A,B,C,D) = u1_struct_0(E)))))))))))) # label(d1_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.78	9619 (all A (-v3_struct_0(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_rmod_2(E,A,B) -> k2_rmod_3(A,B,k2_rmod_3(A,B,C,D),E) = k2_rmod_3(A,B,C,k2_rmod_3(A,B,D,E)))))))))))) # label(t19_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9620 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_rmod_2(E,A,B) -> k1_rmod_3(A,B,k1_rmod_3(A,B,C,D),E) = k1_rmod_3(A,B,C,k1_rmod_3(A,B,D,E)))))))))))) # label(t10_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9621 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> k2_rmod_3(A,B,C,D) = k2_rmod_3(A,B,D,C))))))))) # label(t18_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9622 (all A (v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_rmod_2(E,A,B) -> m1_rmod_2(k1_rmod_3(A,B,k2_rmod_3(A,B,C,D),k2_rmod_3(A,B,D,E)),A,k2_rmod_3(A,B,D,k1_rmod_3(A,B,C,E))))))))))))) # label(t32_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9623 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) & v3_vectsp_2(D,A) -> D = k2_rmod_3(A,B,D,k1_rmod_3(A,B,D,C)))))))))) # label(t31_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9624 (all A (v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v3_vectsp_2(B,A) & v3_rlvect_1(B) -> r1_rmod_3(A,B,k2_rmod_2(A,B),k1_rmod_2(A,B)) & r1_rmod_3(A,B,k1_rmod_2(A,B),k2_rmod_2(A,B)))))) # label(t47_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9625 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v3_rlvect_1(B) -> (all C (m1_rmod_4(C,A,B) -> (all D (m1_rmod_4(D,A,B) -> (all E (m1_rmod_4(E,A,B) -> r1_rmod_4(A,B,k6_rmod_4(A,B,C,k6_rmod_4(A,B,D,E)),k6_rmod_4(A,B,k6_rmod_4(A,B,C,D),E)))))))))))) # label(t54_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9626 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_rmod_4(D,A,B) -> (all E (m1_rmod_4(E,A,B) -> (m2_rmod_4(E,A,B,C) & m2_rmod_4(D,A,B,C) -> m2_rmod_4(k9_rmod_4(A,B,D,E),A,B,C)))))))))))) # label(t75_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9627 (all A (v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_rmod_4(D,A,B) -> (all E (m1_rmod_4(E,A,B) -> (m2_rmod_4(E,A,B,C) & m2_rmod_4(D,A,B,C) -> m2_rmod_4(k6_rmod_4(A,B,D,E),A,B,C)))))))))))) # label(t52_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9628 (all A all B all C all D (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v3_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_rmod_4(C,A,B) & m1_rmod_4(D,A,B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & v7_vectsp_1(A) & v4_group_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> m1_rmod_4(k6_rmod_4(A,B,C,D),A,B))) # label(dt_k6_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9629 $T # label(t49_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9630 (all A (v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> -(D != C & k4_rlvect_1(B,k4_rlvect_1(B,C,D),E) != k1_rmod_4(A,B,k9_rlvect_2(B,C,D,E)) & E != C & D != E))))))))))) # label(t8_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9631 $T # label(t48_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9632 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v2_vectsp_2(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & v7_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_4(C,A,B) -> k5_rlvect_1(B,k5_rmod_4(A,B,C)) = k5_rmod_4(A,B,k8_rmod_4(A,B,C)))))))) # label(t79_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9633 $T # label(t18_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9634 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rmod_4(D,A,B) -> (all E (m1_rmod_4(E,A,B) -> r1_rmod_4(A,B,k7_rmod_4(A,B,C,k6_rmod_4(A,B,D,E)),k6_rmod_4(A,B,k7_rmod_4(A,B,C,D),k7_rmod_4(A,B,C,E))))))))))))) # label(t63_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9635 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (k1_rlvect_1(A) != k2_group_1(A) -> ((all D (m2_rmod_4(D,A,B,C) -> r2_hidden(k5_rmod_4(A,B,D),C))) <-> C != k1_xboole_0 & v1_rmod_2(C,A,B))))))))) # label(t40_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9636 (all A (v6_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v4_rlvect_1(B) -> (all C (m1_rmod_4(C,A,B) -> (all D (m1_rmod_4(D,A,B) -> r1_tarski(k2_rmod_4(A,B,k9_rmod_4(A,B,C,D)),k2_rlvect_2(B,k2_rmod_4(A,B,C),k2_rmod_4(A,B,D))))))))))) # label(t74_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9637 $T # label(d1_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9638 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_rmod_4(D,A,B) -> (-r2_hidden(C,k2_rmod_4(A,B,D)) <-> k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,C) = k1_rlvect_1(A)))))))))) # label(t20_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9639 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_4(C,A,B) -> (all D (m1_rmod_4(D,A,B) -> k9_rmod_4(A,B,C,D) = k6_rmod_4(A,B,C,k8_rmod_4(A,B,D)))))))))) # label(d14_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9640 $T # label(t29_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9641 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v2_vectsp_2(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v6_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) -> (all C (m1_rmod_4(C,A,B) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k6_vectsp_2(A,B,D,k5_rmod_4(A,B,C)) = k5_rmod_4(A,B,k7_rmod_4(A,B,D,C)))))))))) # label(t78_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9642 (all A all B all C (v4_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v3_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v1_finset_1(C) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> m1_subset_1(k1_rmod_4(A,B,C),u1_struct_0(B)))) # label(dt_k1_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9643 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k1_rlvect_1(A) = k8_funct_2(u1_struct_0(B),u1_struct_0(A),k3_rmod_4(A,B),C))))))) # label(t22_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9644 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_rmod_4(D,A,B) -> (all E (m1_rmod_4(E,A,B) -> k6_rlvect_1(A,k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,C),k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,C)) = k8_funct_2(u1_struct_0(B),u1_struct_0(A),k9_rmod_4(A,B,D,E),C))))))))))) # label(t73_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9645 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m2_rmod_4(C,A,B,k1_subset_1(u1_struct_0(B))) -> k3_rmod_4(A,B) = C)))))) # label(t27_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9646 (all A (-v3_struct_0(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rmod_4(D,A,B) -> r1_tarski(k2_rmod_4(A,B,k7_rmod_4(A,B,C,D)),k2_rmod_4(A,B,D)))))))))) # label(t58_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9647 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m2_finseq_1(C,u1_struct_0(B)) -> (all D (m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & v1_funct_1(D) -> (all E (m2_finseq_1(E,u1_struct_0(B)) -> (E = k4_rmod_4(A,B,C,D) <-> k3_finseq_1(E) = k3_finseq_1(C) & (all F (m2_subset_1(F,k1_numbers,k5_numbers) -> (r2_hidden(F,k1_relat_1(E)) -> k1_funct_1(E,F) = k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,k4_finseq_4(k5_numbers,u1_struct_0(B),C,F)),k4_finseq_4(k5_numbers,u1_struct_0(B),C,F)))))))))))))))) # label(d8_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9648 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (all E (m1_rmod_4(E,A,B) -> (m2_rmod_4(E,A,B,D) -> m2_rmod_4(k7_rmod_4(A,B,C,E),A,B,D)))))))))))) # label(t61_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9649 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v1_finset_1(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v1_finset_1(D) -> k4_rlvect_1(B,k1_rmod_4(A,B,k4_rlvect_2(B,C,D)),k1_rmod_4(A,B,k4_rlvect_2(B,D,C))) = k1_rmod_4(A,B,k5_rlvect_2(B,C,D)))))))))) # label(t15_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9650 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(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)) -> k6_vectsp_2(A,B,C,k9_rlvect_1(B,k3_finseq_4(u1_struct_0(B),D,E,F))) = k4_rlvect_1(B,k4_rlvect_1(B,k6_vectsp_2(A,B,C,D),k6_vectsp_2(A,B,C,E)),k6_vectsp_2(A,B,C,F)))))))))))))) # label(t4_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9651 (all A all B all C all D (v3_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_rmod_4(C,A,B) & m1_rmod_4(D,A,B) & v6_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (r1_rmod_4(A,B,C,D) -> r1_rmod_4(A,B,D,C)))) # label(symmetry_r1_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9652 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & v7_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v2_vectsp_2(A) & -v10_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_4(C,A,B) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (k1_rlvect_1(A) != D -> k2_rmod_4(A,B,C) = k2_rmod_4(A,B,k7_rmod_4(A,B,D,C))))))))))) # label(t59_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9653 (all A all B all C all D (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & m1_rmod_4(D,A,B) & m1_rmod_4(C,A,B) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> r1_rmod_4(A,B,C,C))) # label(reflexivity_r1_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9654 (all A all B (-v3_struct_0(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & -v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> m1_rmod_4(k3_rmod_4(A,B),A,B))) # label(dt_k3_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9655 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_4(C,A,B) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> ((exists E (m2_finseq_1(E,u1_struct_0(B)) & v2_funct_1(E) & k9_rlvect_1(B,k4_rmod_4(A,B,E,C)) = D & k2_relat_1(E) = k2_rmod_4(A,B,C))) <-> k5_rmod_4(A,B,C) = D))))))))) # label(d9_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9656 (all A (v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> C = k1_rmod_4(A,B,k7_rlvect_2(B,C)))))))) # label(t6_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9657 (all A all B all C (-v3_struct_0(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & m1_rmod_4(C,A,B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & -v3_struct_0(B) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> m1_subset_1(k5_rmod_4(A,B,C),u1_struct_0(B)))) # label(dt_k5_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9658 $T # label(t24_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9659 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C all D (m1_rmod_4(D,A,B) -> (r2_hidden(C,k2_rmod_4(A,B,D)) <-> (exists E (m1_subset_1(E,u1_struct_0(B)) & E = C & k1_rlvect_1(A) != k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,E)))))))))) # label(t19_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9660 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> k1_rlvect_1(B) = k1_rmod_4(A,B,k1_pre_topc(B)))))) # label(t5_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9661 (all A all B all C (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & -v3_struct_0(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & m1_rmod_4(C,A,B) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> m1_rmod_4(k8_rmod_4(A,B,C),A,B))) # label(dt_k8_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9662 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_4(C,A,B) -> (all D (m1_rmod_4(D,A,B) -> k4_rlvect_1(B,k5_rmod_4(A,B,C),k5_rmod_4(A,B,D)) = k5_rmod_4(A,B,k6_rmod_4(A,B,C,D)))))))))) # label(t77_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9663 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v7_group_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & -v3_struct_0(B) -> (all C (m1_rmod_4(C,A,B) -> r1_rmod_4(A,B,k6_rmod_4(A,B,C,k3_rmod_4(A,B)),C) & r1_rmod_4(A,B,k6_rmod_4(A,B,k3_rmod_4(A,B),C),C))))))) # label(t55_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9664 (all A all B all C all D (v5_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & v4_rlvect_1(B) & v5_rlvect_1(B) & m1_finseq_1(C,u1_struct_0(B)) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_relset_1(D,u1_struct_0(B),u1_struct_0(A)) & v1_funct_1(D) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> m2_finseq_1(k4_rmod_4(A,B,C,D),u1_struct_0(B)))) # label(dt_k4_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9665 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_rmod_4(D,A,B) -> (k7_rlvect_2(B,C) = k2_rmod_4(A,B,D) -> k5_rmod_4(A,B,D) = k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,C),C)))))))))) # label(t46_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9666 (all A all B all C all D (-v3_struct_0(A) & v4_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & m1_rmod_4(C,A,B) & m1_rmod_4(D,A,B) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> m1_rmod_4(k9_rmod_4(A,B,C,D),A,B))) # label(dt_k9_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9667 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (C != D -> k4_rlvect_1(B,C,D) = k1_rmod_4(A,B,k8_rlvect_2(B,C,D))))))))))) # label(t7_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9668 (all A all B all C (-v3_struct_0(A) & v3_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (exists D m2_rmod_4(D,A,B,C)))) # label(existence_m2_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9669 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m2_rmod_4(C,A,B,k1_subset_1(u1_struct_0(B))) -> k1_rlvect_1(B) = k5_rmod_4(A,B,C))))))) # label(t42_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9670 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(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_rmod_4(E,A,B) -> r1_rmod_4(A,B,k7_rmod_4(A,B,D,k7_rmod_4(A,B,C,E)),k7_rmod_4(A,B,k1_group_1(A,C,D),E)))))))))))) # label(t64_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9671 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (all E (m2_rmod_4(E,A,B,C) -> (r1_tarski(C,D) -> m2_rmod_4(E,A,B,D)))))))))))) # label(t25_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9672 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) -> (all C (m1_rmod_4(C,A,B) -> r1_rmod_4(A,B,k7_rmod_4(A,B,k2_group_1(A),C),C))))))) # label(t65_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9673 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(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_rmod_4(E,A,B) -> r1_rmod_4(A,B,k7_rmod_4(A,B,k4_rlvect_1(A,C,D),E),k6_rmod_4(A,B,k7_rmod_4(A,B,C,E),k7_rmod_4(A,B,D,E))))))))))))) # label(t62_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9674 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> ((exists E (k2_relat_1(E) = C & v2_funct_1(E) & k9_rlvect_1(B,E) = D & m2_finseq_1(E,u1_struct_0(B)))) <-> D = k1_rmod_4(A,B,C)))))))))) # label(d3_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9675 (all A (v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_rmod_4(D,A,B) -> (m2_rmod_4(D,A,B,C) -> m2_rmod_4(k8_rmod_4(A,B,D),A,B,C)))))))))) # label(t70_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9676 $T # label(t56_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9677 (all A all B (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v3_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & l3_vectsp_1(A) & v6_vectsp_1(A) -> (exists C m1_rmod_4(C,A,B)))) # label(existence_m1_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9678 (all A (v3_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v1_finset_1(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v1_finset_1(D) -> k6_rlvect_1(B,k1_rmod_4(A,B,C),k1_rmod_4(A,B,k3_rlvect_2(B,C,D))) = k1_rmod_4(A,B,k4_rlvect_2(B,C,D)))))))))) # label(t13_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9679 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_4(C,A,B) -> (all D (m1_rmod_4(D,A,B) -> (r1_rmod_4(A,B,C,D) <-> (all E (m1_subset_1(E,u1_struct_0(B)) -> k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,E) = k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,E)))))))))))) # label(d10_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9680 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m2_rmod_4(D,A,B,k7_rlvect_2(B,C)) -> k5_rmod_4(A,B,D) = k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,C),C))))))))) # label(t43_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9681 (all A all B (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) & l3_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all C (m1_rmod_4(C,A,B) -> m2_fraenkel(C,u1_struct_0(B),u1_struct_0(A),k1_fraenkel(u1_struct_0(B),u1_struct_0(A))))))) # label(dt_m1_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9682 $T # label(t23_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9683 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v3_rlvect_1(A) -> (all B (v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (all F (v1_funct_1(F) & m2_relset_1(F,u1_struct_0(B),u1_struct_0(A)) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(A)) -> k4_rmod_4(A,B,k3_finseq_4(u1_struct_0(B),C,D,E),F) = k3_finseq_4(u1_struct_0(B),k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),F,C),C),k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),F,D),D),k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),F,E),E)))))))))))))) # label(t36_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9684 $T # label(t16_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.29/118.79	9685 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) -> (all B (-v3_struct_0(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_rmod_4(C,A,B) -> k7_rmod_4(A,B,k5_rlvect_1(A,k2_group_1(A)),C) = k8_rmod_4(A,B,C))))))) # label(d13_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.79	9686 $T # label(t57_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.79	9687 (all A all B all C (v4_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all D (m2_rmod_4(D,A,B,C) -> m1_rmod_4(D,A,B))))) # label(dt_m2_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.79	9688 (all A all B all C all D (-v3_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v4_group_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & m1_rmod_4(D,B,C) & l1_vectsp_2(C,B) & v5_vectsp_2(C,B) & v3_rlvect_1(C) & -v3_struct_0(C) & v7_vectsp_1(B) & v6_vectsp_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> ((exists E (m1_subset_1(E,u1_struct_0(C)) & k8_funct_2(u1_struct_0(C),u1_struct_0(B),D,E) != k1_rlvect_1(B) & A = E)) <-> r2_hidden(A,a_3_0_rmod_4(B,C,D))))) # label(fraenkel_a_3_0_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.79	9689 $T # label(d2_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.79	9690 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_group_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v2_vectsp_2(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_4(C,A,B) -> (all D (m1_rmod_4(D,A,B) -> k5_rmod_4(A,B,k9_rmod_4(A,B,C,D)) = k6_rlvect_1(B,k5_rmod_4(A,B,C),k5_rmod_4(A,B,D)))))))))) # label(t80_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.79	9691 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v1_finset_1(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v1_finset_1(D) -> k1_rmod_4(A,B,k5_rlvect_2(B,C,D)) = k6_rlvect_1(B,k1_rmod_4(A,B,k2_rlvect_2(B,C,D)),k1_rmod_4(A,B,k3_rlvect_2(B,C,D))))))))))) # label(t14_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.79	9692 (all A (-v3_struct_0(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) -> (all C (m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v1_funct_1(C) -> k6_finseq_1(u1_struct_0(B)) = k4_rmod_4(A,B,k6_finseq_1(u1_struct_0(B)),C))))))) # label(t33_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.79	9693 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (C != D -> (all E (m2_rmod_4(E,A,B,k8_rlvect_2(B,C,D)) -> k4_rlvect_1(B,k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,C),C),k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,D),D)) = k5_rmod_4(A,B,E)))))))))))) # label(t44_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.79	9694 $T # label(t31_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.79	9695 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) -> (all B (l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m2_finseq_1(C,u1_struct_0(B)) -> (all D (m2_finseq_1(D,u1_struct_0(B)) -> (all E (v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(A)) & m2_relset_1(E,u1_struct_0(B),u1_struct_0(A)) -> k4_rmod_4(A,B,k8_finseq_1(u1_struct_0(B),C,D),E) = k8_finseq_1(u1_struct_0(B),k4_rmod_4(A,B,C,E),k4_rmod_4(A,B,D,E)))))))))))) # label(t37_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.79	9696 $T # label(t71_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.79	9697 (all A (v5_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m2_finseq_1(D,u1_struct_0(B)) -> (all E (m2_finseq_1(E,u1_struct_0(B)) -> ((all F (m2_subset_1(F,k1_numbers,k5_numbers) -> (all G (m1_subset_1(G,u1_struct_0(B)) -> (r2_hidden(F,k1_relat_1(D)) & G = k1_funct_1(E,F) -> k6_vectsp_2(A,B,C,G) = k1_funct_1(D,F)))))) & k3_finseq_1(D) = k3_finseq_1(E) -> k6_vectsp_2(A,B,C,k9_rlvect_1(B,E)) = k9_rlvect_1(B,D)))))))))))) # label(t1_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.79	9698 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_4(C,A,B) -> k2_rmod_4(A,B,k8_rmod_4(A,B,C)) = k2_rmod_4(A,B,C))))))) # label(t69_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.79	9699 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_rmod_4(D,A,B) -> k8_funct_2(u1_struct_0(B),u1_struct_0(A),k8_rmod_4(A,B,D),C) = k5_rlvect_1(A,k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,C)))))))))) # label(t67_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.79	9700 (all A (v3_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v1_finset_1(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v1_finset_1(D) -> (r1_xboole_0(C,D) -> k1_rmod_4(A,B,k2_rlvect_2(B,C,D)) = k4_rlvect_1(B,k1_rmod_4(A,B,C),k1_rmod_4(A,B,D))))))))))) # label(t9_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.79	9701 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m2_fraenkel(C,u1_struct_0(B),u1_struct_0(A),k1_fraenkel(u1_struct_0(B),u1_struct_0(A))) -> (m1_rmod_4(C,A,B) <-> (exists D (v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & (all E (m1_subset_1(E,u1_struct_0(B)) -> (-r2_hidden(E,D) -> k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,E) = k1_rlvect_1(A))))))))))))) # label(d4_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.79	9702 (all A all B all C (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & m1_rmod_4(C,A,B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> C = k8_rmod_4(A,B,k8_rmod_4(A,B,C)))) # label(involutiveness_k8_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9703 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_4(C,A,B) -> (k1_xboole_0 = k2_rmod_4(A,B,C) -> k1_rlvect_1(B) = k5_rmod_4(A,B,C)))))))) # label(t45_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9704 (all A (-v3_struct_0(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_4(E,A,B) -> (k8_rlvect_2(B,C,D) = k2_rmod_4(A,B,E) -> k5_rmod_4(A,B,E) = k4_rlvect_1(B,k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,C),C),k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,D),D)) | D = C))))))))))) # label(t47_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9705 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m2_finseq_1(E,u1_struct_0(B)) -> (all F (m2_relset_1(F,u1_struct_0(B),u1_struct_0(A)) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(A)) & v1_funct_1(F) -> (D = k1_funct_1(E,C) & r2_hidden(C,k1_relat_1(E)) -> k1_funct_1(k4_rmod_4(A,B,E,F),C) = k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),F,D),D)))))))))))))) # label(t32_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9706 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) -> (all C (m1_rmod_4(C,A,B) -> m2_rmod_4(C,A,B,k2_rmod_4(A,B,C)))))))) # label(t28_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9707 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_rmod_4(C,A,B) -> (all D (m1_rmod_4(D,A,B) -> (r1_rmod_4(A,B,k6_rmod_4(A,B,C,D),k3_rmod_4(A,B)) -> r1_rmod_4(A,B,D,k8_rmod_4(A,B,C))))))))))) # label(t68_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9708 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_4(C,A,B) -> k2_rmod_4(A,B,C) = a_3_0_rmod_4(A,B,C))))))) # label(d5_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9709 $T # label(t50_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9710 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_rlvect_1(B) = k6_vectsp_2(A,B,C,k9_rlvect_1(B,k6_finseq_1(u1_struct_0(B)))))))))) # label(t2_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9711 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_4(C,A,B) -> (all D (m1_rmod_4(D,A,B) -> (all E (m1_rmod_4(E,A,B) -> ((all F (m1_subset_1(F,u1_struct_0(B)) -> k4_rlvect_1(A,k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,F),k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,F)) = k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,F))) <-> E = k6_rmod_4(A,B,C,D)))))))))))) # label(d11_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9712 (all A (v3_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> m2_rmod_4(k3_rmod_4(A,B),A,B,C))))))) # label(t26_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9713 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> k6_vectsp_2(A,B,C,k9_rlvect_1(B,k2_finseq_4(u1_struct_0(B),D,E))) = k4_rlvect_1(B,k6_vectsp_2(A,B,C,D),k6_vectsp_2(A,B,C,E)))))))))))) # label(t3_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9714 $T # label(t39_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9715 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v1_finset_1(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v1_finset_1(D) -> k6_rlvect_1(B,k4_rlvect_1(B,k1_rmod_4(A,B,C),k1_rmod_4(A,B,D)),k1_rmod_4(A,B,k2_rlvect_2(B,C,D))) = k1_rmod_4(A,B,k3_rlvect_2(B,C,D)))))))))) # label(t11_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9716 (all A (v5_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) -> (all C (v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v1_finset_1(D) -> k1_rmod_4(A,B,k2_rlvect_2(B,C,D)) = k6_rlvect_1(B,k4_rlvect_1(B,k1_rmod_4(A,B,C),k1_rmod_4(A,B,D)),k1_rmod_4(A,B,k3_rlvect_2(B,C,D))))))))))) # label(t10_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9717 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & -v3_struct_0(B) -> (all C (m1_rmod_4(C,A,B) -> (all D (m1_rmod_4(D,A,B) -> r1_tarski(k2_rmod_4(A,B,k6_rmod_4(A,B,C,D)),k2_rlvect_2(B,k2_rmod_4(A,B,C),k2_rmod_4(A,B,D))))))))))) # label(t51_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9718 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_4(C,A,B) -> r1_rmod_4(A,B,k9_rmod_4(A,B,C,C),k3_rmod_4(A,B)))))))) # label(t76_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9719 $T # label(t17_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9720 (all A (v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_rmod_4(D,A,B) -> (m2_rmod_4(D,A,B,C) <-> r1_tarski(k2_rmod_4(A,B,D),C)))))))))) # label(d7_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9721 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> k1_rmod_4(A,B,k4_rlvect_2(B,C,D)) = k6_rlvect_1(B,k1_rmod_4(A,B,k2_rlvect_2(B,C,D)),k1_rmod_4(A,B,D)))))))))) # label(t12_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9722 (all A all B all C all D (-v3_struct_0(A) & v4_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_2(B,A) & m1_rmod_4(D,A,B) & m1_rmod_4(C,A,B) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (D = C <-> r1_rmod_4(A,B,C,D)))) # label(redefinition_r1_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9723 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) -> (all C (m1_rmod_4(C,A,B) -> r1_rmod_4(A,B,k7_rmod_4(A,B,k1_rlvect_1(A),C),k3_rmod_4(A,B)))))))) # label(t60_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9724 $T # label(t66_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9725 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) -> (all B (-v3_struct_0(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (v1_funct_1(E) & m2_relset_1(E,u1_struct_0(B),u1_struct_0(A)) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(A)) -> k4_rmod_4(A,B,k2_finseq_4(u1_struct_0(B),C,D),E) = k2_finseq_4(u1_struct_0(B),k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,C),C),k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,D),D)))))))))))) # label(t35_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9726 $T # label(t38_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9727 $T # label(t30_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9728 (all A (v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> k5_rmod_4(A,B,k3_rmod_4(A,B)) = k1_rlvect_1(B))))) # label(t41_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9729 (all A (v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)) -> k12_finseq_1(u1_struct_0(B),k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,C),C)) = k4_rmod_4(A,B,k12_finseq_1(u1_struct_0(B),C),D))))))))) # label(t34_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9730 (all A (v4_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v7_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_4(C,A,B) -> (all D (m1_rmod_4(D,A,B) -> r1_rmod_4(A,B,k6_rmod_4(A,B,C,D),k6_rmod_4(A,B,D,C)))))))))) # label(t53_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9731 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rmod_4(D,A,B) -> (all E (m1_rmod_4(E,A,B) -> (E = k7_rmod_4(A,B,C,D) <-> (all F (m1_subset_1(F,u1_struct_0(B)) -> k1_group_1(A,k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,F),C) = k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,F)))))))))))))) # label(d12_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9732 (all A all B all C all D (-v3_struct_0(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & m1_rmod_4(D,A,B) & m1_subset_1(C,u1_struct_0(A)) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> m1_rmod_4(k7_rmod_4(A,B,C,D),A,B))) # label(dt_k7_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9733 $T # label(t72_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9734 (all A (v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_4(C,A,B) -> (k2_rmod_4(A,B,C) = k1_xboole_0 <-> k3_rmod_4(A,B) = C))))))) # label(d6_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9735 $T # label(t21_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9736 (all A all B all C (-v3_struct_0(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_rmod_4(C,A,B) & v3_rlvect_1(B) & -v3_struct_0(B) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> v1_finset_1(k2_rmod_4(A,B,C)) & m1_subset_1(k2_rmod_4(A,B,C),k1_zfmisc_1(u1_struct_0(B))))) # label(dt_k2_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9737 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (v1_rmod_5(D,A,B) & r1_tarski(C,D) -> v1_rmod_5(C,A,B)))))))))) # label(t2_rmod_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9738 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v2_vectsp_2(A) & -v10_vectsp_1(A) & v7_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (r1_tarski(C,D) -> m1_rmod_2(k1_rmod_5(A,B,C),A,k1_rmod_5(A,B,D))))))))))) # label(t15_rmod_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9739 $T # label(t8_rmod_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9740 (all A all B all C (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v6_rlvect_1(B) & -v3_struct_0(B) & v2_vectsp_2(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> v3_vectsp_2(k1_rmod_5(A,B,C),A) & m1_rmod_2(k1_rmod_5(A,B,C),A,B))) # label(dt_k1_rmod_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9741 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & v2_vectsp_2(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) -> k1_rmod_5(A,B,k1_subset_1(u1_struct_0(B))) = k1_rmod_2(A,B))))) # label(t11_rmod_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9742 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (k2_group_1(A) != k1_rlvect_1(A) -> -v1_rmod_5(k8_rlvect_2(B,k1_rlvect_1(B),C),A,B) & -v1_rmod_5(k8_rlvect_2(B,C,k1_rlvect_1(B)),A,B)))))))) # label(t6_rmod_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9743 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> -(k2_group_1(A) != k1_rlvect_1(A) & v1_rmod_5(C,A,B) & r2_hidden(k1_rlvect_1(B),C)))))))) # label(t3_rmod_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9744 (all A all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v7_group_1(B) & l3_vectsp_1(B) & v2_vectsp_2(B) & -v10_vectsp_1(B) & v8_vectsp_1(B) & v7_vectsp_1(B) & v6_vectsp_1(B) & v4_group_1(B) & v6_rlvect_1(B) -> (all C (-v3_struct_0(C) & v6_rlvect_1(C) & v5_vectsp_2(C,B) & l1_vectsp_2(C,B) & v5_rlvect_1(C) & v4_rlvect_1(C) & v3_rlvect_1(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) -> (r2_hidden(A,D) -> r1_rlvect_1(k1_rmod_5(B,C,D),A)))))))) # label(t10_rmod_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9745 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v2_vectsp_2(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v7_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> k1_rmod_3(A,B,k1_rmod_5(A,B,C),k1_rmod_5(A,B,D)) = k1_rmod_5(A,B,k4_subset_1(u1_struct_0(B),C,D)))))))))) # label(t17_rmod_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9746 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v7_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v2_vectsp_2(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v3_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (C = u1_struct_0(B) -> k1_rmod_5(A,B,C) = B | k1_rlvect_1(A) = k2_group_1(A)))))))) # label(t14_rmod_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9747 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v7_group_1(A) & v7_vectsp_1(A) & -v10_vectsp_1(A) & v2_vectsp_2(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> -(C != k1_xboole_0 & k7_rlvect_2(B,k1_rlvect_1(B)) != C & k1_rmod_5(A,B,C) = k1_rmod_2(A,B)))))))) # label(t12_rmod_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9748 (all A (-v3_struct_0(A) & v4_group_1(A) & v7_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & -v10_vectsp_1(A) & v2_vectsp_2(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v3_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (k1_rmod_5(A,B,C) = B & r1_tarski(C,D) -> B = k1_rmod_5(A,B,D)))))))))) # label(t16_rmod_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9749 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & -v10_vectsp_1(A) & v2_vectsp_2(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_rmod_2(D,A,B) & v3_vectsp_2(D,A) -> (D = k1_rmod_5(A,B,C) <-> u1_struct_0(D) = a_3_0_rmod_5(A,B,C)))))))))) # label(d2_rmod_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9750 (all A (v6_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) -> v1_rmod_5(k1_subset_1(u1_struct_0(B)),A,B))))) # label(t4_rmod_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9751 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v2_vectsp_2(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v7_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_rmod_2(D,A,B) & v3_vectsp_2(D,A) -> (C = u1_struct_0(D) -> k1_rmod_5(A,B,C) = D | k1_rlvect_1(A) = k2_group_1(A)))))))))) # label(t13_rmod_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9752 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v2_vectsp_2(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v7_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> m1_rmod_2(k1_rmod_5(A,B,k5_subset_1(u1_struct_0(B),C,D)),A,k2_rmod_3(A,B,k1_rmod_5(A,B,C),k1_rmod_5(A,B,D))))))))))) # label(t18_rmod_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9753 (all A (v5_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (v1_rmod_5(k8_rlvect_2(B,C,D),A,B) -> C != k1_rlvect_1(B) & k1_rlvect_1(B) != D | k2_group_1(A) = k1_rlvect_1(A)))))))))) # label(t5_rmod_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9754 $T # label(t1_rmod_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9755 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> ((all D (m2_rmod_4(D,A,B,C) -> (k1_rlvect_1(B) = k5_rmod_4(A,B,D) -> k2_rmod_4(A,B,D) = k1_xboole_0))) <-> v1_rmod_5(C,A,B)))))))) # label(d1_rmod_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9756 (all A all B all C all D (-v3_struct_0(B) & v3_rlvect_1(B) & v4_group_1(B) & v7_group_1(B) & v7_vectsp_1(B) & v2_vectsp_2(B) & v3_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v5_vectsp_2(C,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) & l1_vectsp_2(C,B) & v4_rlvect_1(C) & -v3_struct_0(C) & l3_vectsp_1(B) & -v10_vectsp_1(B) & v8_vectsp_1(B) & v6_vectsp_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (r2_hidden(A,a_3_0_rmod_5(B,C,D)) <-> (exists E (m2_rmod_4(E,B,C,D) & k5_rmod_4(B,C,E) = A))))) # label(fraenkel_a_3_0_rmod_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9757 $T # label(t7_rmod_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9758 (all A all B (-v3_struct_0(B) & v4_rlvect_1(B) & v4_group_1(B) & v6_vectsp_1(B) & -v10_vectsp_1(B) & v2_vectsp_2(B) & l3_vectsp_1(B) & v8_vectsp_1(B) & v7_vectsp_1(B) & v7_group_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (v5_rlvect_1(C) & v6_rlvect_1(C) & v5_vectsp_2(C,B) & l1_vectsp_2(C,B) & v4_rlvect_1(C) & v3_rlvect_1(C) & -v3_struct_0(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) -> (r1_rlvect_1(k1_rmod_5(B,C,D),A) <-> (exists E (m2_rmod_4(E,B,C,D) & k5_rmod_4(B,C,E) = A))))))))) # label(t9_rmod_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9759 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (r2_hidden(k5_oppcat_1(A,D),k6_cat_1(k2_oppcat_1(A),k3_oppcat_1(A,C),k3_oppcat_1(A,B))) <-> r2_hidden(D,k6_cat_1(A,B,C))))))))))) # label(t13_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9760 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> m1_oppcat_1(k9_oppcat_1(A,B,C),A,k2_oppcat_1(B)))))))) # label(t59_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9761 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_oppcat_1(C,k2_oppcat_1(A),B) -> (all D (m1_subset_1(D,u1_cat_1(k2_oppcat_1(A))) -> k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,k7_oppcat_1(A,B,C)),k4_oppcat_1(A,D)) = k8_funct_2(u1_cat_1(k2_oppcat_1(A)),u1_cat_1(B),k12_cat_1(k2_oppcat_1(A),B,C),D))))))))) # label(t38_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9762 (all A (l1_cat_1(A) & v2_cat_1(A) -> m1_oppcat_1(k11_oppcat_1(A),k2_oppcat_1(A),A))) # label(dt_k11_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9763 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_oppcat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(k2_oppcat_1(A))) -> k8_funct_2(u1_cat_1(k2_oppcat_1(A)),u1_cat_1(B),k12_cat_1(k2_oppcat_1(A),B,k8_oppcat_1(A,B,C)),D) = k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),k4_oppcat_1(A,D)))))))))) # label(t44_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9764 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_1(C) -> (all D (m2_relset_1(D,u2_cat_1(A),u2_cat_1(k2_oppcat_1(B))) & v1_funct_2(D,u2_cat_1(A),u2_cat_1(k2_oppcat_1(B))) & v1_funct_1(D) -> (D = k9_oppcat_1(A,B,C) <-> (all E (m1_subset_1(E,u2_cat_1(A)) -> k5_oppcat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,E)) = k8_funct_2(u2_cat_1(A),u2_cat_1(k2_oppcat_1(B)),D,E)))))))))))) # label(d9_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9765 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_oppcat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),D) = k8_funct_2(u1_cat_1(k2_oppcat_1(A)),u1_cat_1(B),k12_cat_1(k2_oppcat_1(A),B,k8_oppcat_1(A,B,C)),k3_oppcat_1(A,D)))))))))) # label(t45_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9766 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),D) = k8_funct_2(u1_cat_1(k2_oppcat_1(A)),u1_cat_1(B),k12_cat_1(k2_oppcat_1(A),B,k8_oppcat_1(A,B,C)),k3_oppcat_1(A,D)))))))))) # label(t42_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9767 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (k3_cat_1(A,B) = k2_cat_1(A,C) -> k4_cat_1(k2_oppcat_1(A),k5_oppcat_1(A,C),k5_oppcat_1(A,B)) = k5_oppcat_1(A,k4_cat_1(A,B,C))))))))) # label(t17_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9768 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> k8_funct_2(u2_cat_1(k2_oppcat_1(A)),u2_cat_1(k2_oppcat_1(B)),k9_oppcat_1(k2_oppcat_1(A),B,k8_oppcat_1(A,B,C)),k5_oppcat_1(A,D)) = k5_oppcat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D)))))))))) # label(t47_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9769 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(k2_oppcat_1(A))) -> k4_oppcat_1(A,B) = k3_oppcat_1(k2_oppcat_1(A),B))))) # label(d3_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9770 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (v4_cat_1(k5_oppcat_1(A,B),k2_oppcat_1(A)) <-> v3_cat_1(B,A)))))) # label(t24_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9771 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) -> (all D (v1_funct_1(D) & v1_funct_2(D,u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B)) & m2_relset_1(D,u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B)) -> (D = k8_oppcat_1(A,B,C) <-> (all E (m1_subset_1(E,u2_cat_1(k2_oppcat_1(A))) -> k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k6_oppcat_1(A,E)) = k8_funct_2(u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B),D,E)))))))))))) # label(d8_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9772 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_1(C) -> k8_oppcat_1(A,k2_oppcat_1(B),k9_oppcat_1(A,B,C)) = k9_oppcat_1(k2_oppcat_1(A),B,k8_oppcat_1(A,B,C)))))))) # label(t50_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9773 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m1_oppcat_1(D,A,B) -> (all E (m2_cat_1(E,B,C) -> m1_oppcat_1(k7_funct_2(u2_cat_1(A),u2_cat_1(B),u2_cat_1(C),D,E),A,C))))))))))) # label(t60_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9774 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,u2_cat_1(A),u2_cat_1(B)) & m2_relset_1(D,u2_cat_1(A),u2_cat_1(B)) -> (all E (v1_funct_1(E) & m2_relset_1(E,u2_cat_1(B),u2_cat_1(C)) & v1_funct_2(E,u2_cat_1(B),u2_cat_1(C)) -> k9_oppcat_1(A,C,k7_funct_2(u2_cat_1(A),u2_cat_1(B),u2_cat_1(C),D,E)) = k7_funct_2(u2_cat_1(A),u2_cat_1(B),u2_cat_1(k2_oppcat_1(C)),D,k9_oppcat_1(B,C,E)))))))))))) # label(t54_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9775 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_oppcat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> k8_funct_2(u1_cat_1(A),u1_cat_1(k2_oppcat_1(B)),k12_cat_1(A,k2_oppcat_1(B),k9_oppcat_1(A,B,C)),D) = k3_oppcat_1(B,k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),D)))))))))) # label(t46_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9776 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B)) & m2_relset_1(C,u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B)) -> (all D (m1_subset_1(D,u2_cat_1(k2_oppcat_1(A))) -> k8_funct_2(u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B),C,D) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),k7_oppcat_1(A,B,C),k6_oppcat_1(A,D)))))))))) # label(t28_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9777 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_oppcat_1(C,k2_oppcat_1(A),B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> k8_funct_2(u1_cat_1(k2_oppcat_1(A)),u1_cat_1(B),k12_cat_1(k2_oppcat_1(A),B,C),k3_oppcat_1(A,D)) = k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,k7_oppcat_1(A,B,C)),D))))))))) # label(t37_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9778 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(k2_oppcat_1(A))) -> (all C (m1_subset_1(C,u1_cat_1(k2_oppcat_1(A))) -> (all D (m1_cat_1(D,k2_oppcat_1(A),B,C) -> (k1_xboole_0 != k6_cat_1(k2_oppcat_1(A),B,C) -> m1_cat_1(k6_oppcat_1(A,D),A,k4_oppcat_1(A,C),k4_oppcat_1(A,B))))))))))) # label(t16_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9779 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> k6_oppcat_1(A,k5_oppcat_1(A,B)) = B)))) # label(t7_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9780 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (v7_cat_1(k3_oppcat_1(A,B),k2_oppcat_1(A)) <-> v6_cat_1(B,A)))))) # label(t27_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9781 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(k2_oppcat_1(A))) -> k4_oppcat_1(A,k3_cat_1(k2_oppcat_1(A),B)) = k2_cat_1(A,k6_oppcat_1(A,B)) & k4_oppcat_1(A,k2_cat_1(k2_oppcat_1(A),B)) = k3_cat_1(A,k6_oppcat_1(A,B)))))) # label(t12_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9782 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> k3_oppcat_1(k2_oppcat_1(A),k3_oppcat_1(A,B)) = B)))) # label(t3_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9783 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) & v1_cat_1(B) -> (all C (v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_1(C) -> C = k9_oppcat_1(A,k2_oppcat_1(B),k9_oppcat_1(A,B,C)))))))) # label(t51_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9784 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(k2_oppcat_1(A))) -> k6_oppcat_1(A,k10_cat_1(k2_oppcat_1(A),B)) = k10_cat_1(A,k4_oppcat_1(A,B)))))) # label(t22_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9785 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_oppcat_1(C,A,B) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> k3_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D)) = k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),k2_cat_1(A,D)) & k2_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D)) = k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),k3_cat_1(A,D)))))))))) # label(t33_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9786 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> k5_oppcat_1(A,B) = B)))) # label(d4_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9787 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> B = k4_oppcat_1(A,k3_oppcat_1(A,B)))))) # label(t4_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9788 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (v1_funct_2(D,u2_cat_1(A),u2_cat_1(B)) & m2_relset_1(D,u2_cat_1(A),u2_cat_1(B)) & v1_funct_1(D) -> (all E (m2_relset_1(E,u2_cat_1(B),u2_cat_1(C)) & v1_funct_2(E,u2_cat_1(B),u2_cat_1(C)) & v1_funct_1(E) -> k7_funct_2(u2_cat_1(k2_oppcat_1(A)),u2_cat_1(k2_oppcat_1(B)),u2_cat_1(k2_oppcat_1(C)),k9_oppcat_1(k2_oppcat_1(A),B,k8_oppcat_1(A,B,D)),k9_oppcat_1(k2_oppcat_1(B),C,k8_oppcat_1(B,C,E))) = k9_oppcat_1(k2_oppcat_1(A),C,k8_oppcat_1(A,C,k7_funct_2(u2_cat_1(A),u2_cat_1(B),u2_cat_1(C),D,E))))))))))))) # label(t55_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9789 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (v3_cat_1(k5_oppcat_1(A,B),k2_oppcat_1(A)) <-> v4_cat_1(B,A)))))) # label(t23_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9790 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B)) & v1_funct_2(C,u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B)) -> (all D (m2_relset_1(D,u2_cat_1(A),u2_cat_1(B)) & v1_funct_2(D,u2_cat_1(A),u2_cat_1(B)) & v1_funct_1(D) -> ((all E (m1_subset_1(E,u2_cat_1(A)) -> k8_funct_2(u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B),C,k5_oppcat_1(A,E)) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),D,E))) <-> k7_oppcat_1(A,B,C) = D))))))))) # label(d6_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9791 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(k2_oppcat_1(A))) -> k3_cat_1(A,k6_oppcat_1(A,B)) = k2_cat_1(k2_oppcat_1(A),B) & k2_cat_1(A,k6_oppcat_1(A,B)) = k3_cat_1(k2_oppcat_1(A),B))))) # label(t10_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9792 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> k2_cat_1(k2_oppcat_1(A),k5_oppcat_1(A,B)) = k3_oppcat_1(A,k3_cat_1(A,B)) & k3_oppcat_1(A,k2_cat_1(A,B)) = k3_cat_1(k2_oppcat_1(A),k5_oppcat_1(A,B)))))) # label(t11_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9793 (all A (l1_cat_1(A) & v2_cat_1(A) -> g1_cat_1(u1_cat_1(A),u2_cat_1(A),u4_cat_1(A),u3_cat_1(A),k1_oppcat_1(u2_cat_1(A),u2_cat_1(A),u2_cat_1(A),u5_cat_1(A)),u6_cat_1(A)) = k2_oppcat_1(A))) # label(d1_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9794 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> k3_oppcat_1(B,k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),D)) = k8_funct_2(u1_cat_1(k2_oppcat_1(A)),u1_cat_1(k2_oppcat_1(B)),k12_cat_1(k2_oppcat_1(A),k2_oppcat_1(B),k9_oppcat_1(k2_oppcat_1(A),B,k8_oppcat_1(A,B,C))),k3_oppcat_1(A,D)))))))))) # label(t62_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9795 (all A (v2_cat_1(A) & l1_cat_1(A) -> k9_oppcat_1(A,A,k15_cat_1(A)) = k10_oppcat_1(A))) # label(d10_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9796 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_oppcat_1(C,A,B) -> m2_cat_1(k9_oppcat_1(A,B,C),A,k2_oppcat_1(B)))))))) # label(t57_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9797 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(k2_oppcat_1(A))) -> k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),k4_oppcat_1(A,D)) = k8_funct_2(u1_cat_1(k2_oppcat_1(A)),u1_cat_1(B),k12_cat_1(k2_oppcat_1(A),B,k8_oppcat_1(A,B,C)),D))))))))) # label(t41_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.80	9798 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,k2_oppcat_1(A),B) -> m1_oppcat_1(k7_oppcat_1(A,B,C),A,B))))))) # label(t35_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9799 (all A all B (v2_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_cat_1(A)) -> m1_subset_1(k3_oppcat_1(A,B),u1_cat_1(k2_oppcat_1(A))))) # label(dt_k3_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9800 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m1_oppcat_1(D,A,B) -> (all E (m1_oppcat_1(E,B,C) -> m2_cat_1(k7_funct_2(u2_cat_1(A),u2_cat_1(B),u2_cat_1(C),D,E),A,C))))))))))) # label(t36_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9801 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_oppcat_1(C,A,B) -> m2_cat_1(k8_oppcat_1(A,B,C),k2_oppcat_1(A),B))))))) # label(t56_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9802 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_oppcat_1(C,k2_oppcat_1(A),B) -> m2_cat_1(k7_oppcat_1(A,B,C),A,B))))))) # label(t39_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9803 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_oppcat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> (k10_cat_1(B,E) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,D)) -> E = k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),D)))))))))))) # label(t31_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9804 (all A all B (v2_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & l1_cat_1(A) -> (all C (m1_oppcat_1(C,A,B) -> v1_funct_1(C) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)))))) # label(dt_m1_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9805 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> k5_oppcat_1(A,B) = k8_funct_2(u2_cat_1(A),u2_cat_1(k2_oppcat_1(A)),k10_oppcat_1(A),B))))) # label(t66_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9806 (all A all B all C all D (v1_funct_1(D) & m1_relset_1(D,k2_zfmisc_1(A,B),C) & -v1_xboole_0(C) & -v1_xboole_0(B) & -v1_xboole_0(A) -> m2_relset_1(k1_oppcat_1(A,B,C,D),k2_zfmisc_1(B,A),C) & v1_funct_1(k1_oppcat_1(A,B,C,D)))) # label(dt_k1_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9807 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(k2_oppcat_1(A))) -> k6_oppcat_1(A,B) = k8_funct_2(u2_cat_1(k2_oppcat_1(A)),u2_cat_1(A),k11_oppcat_1(A),B))))) # label(t68_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9808 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> B = k5_oppcat_1(k2_oppcat_1(A),k5_oppcat_1(A,B)))))) # label(t6_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9809 (all A all B all C (l1_cat_1(A) & l1_cat_1(B) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & m1_relset_1(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_1(C) & v2_cat_1(B) & v2_cat_1(A) -> m2_relset_1(k8_oppcat_1(A,B,C),u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B)) & v1_funct_2(k8_oppcat_1(A,B,C),u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B)) & v1_funct_1(k8_oppcat_1(A,B,C)))) # label(dt_k8_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9810 (all A (l1_cat_1(A) & v2_cat_1(A) -> m1_oppcat_1(k10_oppcat_1(A),A,k2_oppcat_1(A)))) # label(dt_k10_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9811 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (v5_cat_1(k5_oppcat_1(A,B),k2_oppcat_1(A)) <-> v5_cat_1(B,A)))))) # label(t25_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9812 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_oppcat_1(C,A,B) -> m1_oppcat_1(k9_oppcat_1(k2_oppcat_1(A),B,k8_oppcat_1(A,B,C)),k2_oppcat_1(A),k2_oppcat_1(B)))))))) # label(t65_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9813 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> B = k3_oppcat_1(A,B))))) # label(d2_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9814 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) -> ((all D (m1_subset_1(D,u1_cat_1(A)) -> (exists E (k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,D)) = k10_cat_1(B,E) & m1_subset_1(E,u1_cat_1(B)))))) & (all D (m1_subset_1(D,u2_cat_1(A)) -> k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,k3_cat_1(A,D))) = k10_cat_1(B,k2_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D))) & k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,k2_cat_1(A,D))) = k10_cat_1(B,k3_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D))))) & (all D (m1_subset_1(D,u2_cat_1(A)) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> (k2_cat_1(A,E) = k3_cat_1(A,D) -> k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k4_cat_1(A,D,E)) = k4_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,E),k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D))))))) <-> m1_oppcat_1(C,A,B)))))))) # label(d7_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9815 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(k2_oppcat_1(A))) -> B = k3_oppcat_1(A,k4_oppcat_1(A,B)))))) # label(t5_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9816 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> m2_cat_1(k9_oppcat_1(k2_oppcat_1(A),B,k8_oppcat_1(A,B,C)),k2_oppcat_1(A),k2_oppcat_1(B)))))))) # label(t64_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9817 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,k2_oppcat_1(A),B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> k8_funct_2(u1_cat_1(k2_oppcat_1(A)),u1_cat_1(B),k12_cat_1(k2_oppcat_1(A),B,C),k3_oppcat_1(A,D)) = k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,k7_oppcat_1(A,B,C)),D))))))))) # label(t29_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9818 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_oppcat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> k3_oppcat_1(B,k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),D)) = k8_funct_2(u1_cat_1(k2_oppcat_1(A)),u1_cat_1(k2_oppcat_1(B)),k12_cat_1(k2_oppcat_1(A),k2_oppcat_1(B),k9_oppcat_1(k2_oppcat_1(A),B,k8_oppcat_1(A,B,C))),k3_oppcat_1(A,D)))))))))) # label(t63_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9819 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m1_oppcat_1(E,B,C) -> m1_oppcat_1(k7_funct_2(u2_cat_1(A),u2_cat_1(B),u2_cat_1(C),D,E),A,C))))))))))) # label(t61_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9820 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,u2_cat_1(A),u2_cat_1(B)) & m2_relset_1(D,u2_cat_1(A),u2_cat_1(B)) -> (all E (v1_funct_1(E) & v1_funct_2(E,u2_cat_1(B),u2_cat_1(C)) & m2_relset_1(E,u2_cat_1(B),u2_cat_1(C)) -> k8_oppcat_1(A,C,k7_funct_2(u2_cat_1(A),u2_cat_1(B),u2_cat_1(C),D,E)) = k7_funct_2(u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B),u2_cat_1(C),k8_oppcat_1(A,B,D),E))))))))))) # label(t53_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9821 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_cat_1(D,A,B,C) -> (k6_cat_1(A,B,C) != k1_xboole_0 -> m1_cat_1(k5_oppcat_1(A,D),k2_oppcat_1(A),k3_oppcat_1(A,C),k3_oppcat_1(A,B))))))))))) # label(t15_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9822 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(k2_oppcat_1(A))) -> k8_funct_2(u1_cat_1(k2_oppcat_1(A)),u1_cat_1(A),k12_cat_1(k2_oppcat_1(A),A,k11_oppcat_1(A)),B) = k4_oppcat_1(A,B))))) # label(t69_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9823 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (v7_cat_1(B,A) <-> v6_cat_1(k3_oppcat_1(A,B),k2_oppcat_1(A))))))) # label(t26_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9824 (all A all B (v2_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & l1_cat_1(A) -> (exists C m1_oppcat_1(C,A,B)))) # label(existence_m1_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9825 (all A (l1_cat_1(A) & v2_cat_1(A) -> k2_oppcat_1(k2_oppcat_1(A)) = g1_cat_1(u1_cat_1(A),u2_cat_1(A),u3_cat_1(A),u4_cat_1(A),u5_cat_1(A),u6_cat_1(A)))) # label(t2_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9826 (all A all B (v2_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u2_cat_1(k2_oppcat_1(A))) -> m1_subset_1(k6_oppcat_1(A,B),u2_cat_1(A)))) # label(dt_k6_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9827 (all A all B (v2_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_cat_1(k2_oppcat_1(A))) -> m1_subset_1(k4_oppcat_1(A,B),u1_cat_1(A)))) # label(dt_k4_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9828 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (k2_cat_1(k2_oppcat_1(A),k5_oppcat_1(A,B)) = k3_cat_1(k2_oppcat_1(A),k5_oppcat_1(A,C)) -> k5_oppcat_1(A,k4_cat_1(A,B,C)) = k4_cat_1(k2_oppcat_1(A),k5_oppcat_1(A,C),k5_oppcat_1(A,B))))))))) # label(t18_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9829 (all A all B all C all D (-v1_xboole_0(A) & -v1_xboole_0(B) & v1_funct_1(D) & m1_relset_1(D,k2_zfmisc_1(A,B),C) & -v1_xboole_0(C) -> k2_funct_4(D) = k1_oppcat_1(A,B,C,D))) # label(redefinition_k1_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9830 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_cat_1(E,A,B,C) -> (all F (m1_cat_1(F,A,C,D) -> -(k1_xboole_0 != k6_cat_1(A,B,C) & k6_cat_1(A,C,D) != k1_xboole_0 & k4_cat_1(k2_oppcat_1(A),k5_oppcat_1(A,F),k5_oppcat_1(A,E)) != k5_oppcat_1(A,k9_cat_1(A,B,C,D,E,F))))))))))))))) # label(t20_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9831 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_oppcat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,D)) = k10_cat_1(B,k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),D)))))))))) # label(t32_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9832 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> k2_cat_1(A,B) = k3_cat_1(k2_oppcat_1(A),k5_oppcat_1(A,B)) & k3_cat_1(A,B) = k2_cat_1(k2_oppcat_1(A),k5_oppcat_1(A,B)))))) # label(t9_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9833 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> k5_oppcat_1(A,k10_cat_1(A,B)) = k10_cat_1(k2_oppcat_1(A),k3_oppcat_1(A,B)))))) # label(t21_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9834 (all A all B (l1_cat_1(A) & m1_subset_1(B,u2_cat_1(A)) & v2_cat_1(A) -> m1_subset_1(k5_oppcat_1(A,B),u2_cat_1(k2_oppcat_1(A))))) # label(dt_k5_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9835 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_1(C) -> k7_funct_2(u2_cat_1(k2_oppcat_1(A)),u2_cat_1(A),u2_cat_1(B),k11_oppcat_1(A),C) = k8_oppcat_1(A,B,C) & k9_oppcat_1(A,B,C) = k7_funct_2(u2_cat_1(A),u2_cat_1(B),u2_cat_1(k2_oppcat_1(B)),C,k10_oppcat_1(B)))))))) # label(t70_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9836 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> k8_funct_2(u1_cat_1(A),u1_cat_1(k2_oppcat_1(B)),k12_cat_1(A,k2_oppcat_1(B),k9_oppcat_1(A,B,C)),D) = k3_oppcat_1(B,k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),D)))))))))) # label(t43_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9837 (all A all B all C (l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v1_funct_1(C) & m1_relset_1(C,u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B)) & v1_funct_2(C,u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B)) & v2_cat_1(A) -> v1_funct_1(k7_oppcat_1(A,B,C)) & m2_relset_1(k7_oppcat_1(A,B,C),u2_cat_1(A),u2_cat_1(B)) & v1_funct_2(k7_oppcat_1(A,B,C),u2_cat_1(A),u2_cat_1(B)))) # label(dt_k7_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9838 (all A all B all C (l1_cat_1(B) & v1_funct_1(C) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & m1_relset_1(C,u2_cat_1(A),u2_cat_1(B)) & v2_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> v1_funct_1(k9_oppcat_1(A,B,C)) & v1_funct_2(k9_oppcat_1(A,B,C),u2_cat_1(A),u2_cat_1(k2_oppcat_1(B))) & m2_relset_1(k9_oppcat_1(A,B,C),u2_cat_1(A),u2_cat_1(k2_oppcat_1(B))))) # label(dt_k9_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9839 (all A (v2_cat_1(A) & l1_cat_1(A) -> k11_oppcat_1(A) = k8_oppcat_1(A,A,k15_cat_1(A)))) # label(d11_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9840 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> m1_oppcat_1(k8_oppcat_1(A,B,C),k2_oppcat_1(A),B))))))) # label(t58_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9841 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> k8_funct_2(u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B),k8_oppcat_1(A,B,C),k5_oppcat_1(A,D)) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D))))))))) # label(t40_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9842 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(k2_oppcat_1(A))) -> k6_oppcat_1(A,B) = k5_oppcat_1(k2_oppcat_1(A),B))))) # label(d5_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9843 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_oppcat_1(C,A,B) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> (k3_cat_1(A,D) = k2_cat_1(A,E) -> k2_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D)) = k3_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,E))))))))))))) # label(t34_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9844 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,k2_oppcat_1(A),B) -> (all D (m1_subset_1(D,u1_cat_1(k2_oppcat_1(A))) -> k8_funct_2(u1_cat_1(k2_oppcat_1(A)),u1_cat_1(B),k12_cat_1(k2_oppcat_1(A),B,C),D) = k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,k7_oppcat_1(A,B,C)),k4_oppcat_1(A,D)))))))))) # label(t30_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9845 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(k2_oppcat_1(A))) -> (all C (m1_subset_1(C,u2_cat_1(k2_oppcat_1(A))) -> (k2_cat_1(k2_oppcat_1(A),C) = k3_cat_1(k2_oppcat_1(A),B) -> k4_cat_1(A,k6_oppcat_1(A,C),k6_oppcat_1(A,B)) = k6_oppcat_1(A,k4_cat_1(k2_oppcat_1(A),B,C))))))))) # label(t19_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9846 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> k8_funct_2(u1_cat_1(A),u1_cat_1(k2_oppcat_1(A)),k12_cat_1(A,k2_oppcat_1(A),k10_oppcat_1(A)),B) = k3_oppcat_1(A,B))))) # label(t67_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9847 (all A (v2_cat_1(A) & l1_cat_1(A) -> l1_cat_1(g1_cat_1(u1_cat_1(A),u2_cat_1(A),u4_cat_1(A),u3_cat_1(A),k1_oppcat_1(u2_cat_1(A),u2_cat_1(A),u2_cat_1(A),u5_cat_1(A)),u6_cat_1(A))) & v2_cat_1(g1_cat_1(u1_cat_1(A),u2_cat_1(A),u4_cat_1(A),u3_cat_1(A),k1_oppcat_1(u2_cat_1(A),u2_cat_1(A),u2_cat_1(A),u5_cat_1(A)),u6_cat_1(A))))) # label(t1_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9848 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B)) & m2_relset_1(C,u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B)) -> C = k8_oppcat_1(A,B,k7_oppcat_1(A,B,C)))))))) # label(t49_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9849 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(k2_oppcat_1(A))) -> (all C (m1_subset_1(C,u1_cat_1(k2_oppcat_1(A))) -> (all D (m1_subset_1(D,u2_cat_1(k2_oppcat_1(A))) -> (r2_hidden(D,k6_cat_1(k2_oppcat_1(A),B,C)) <-> r2_hidden(k6_oppcat_1(A,D),k6_cat_1(A,k4_oppcat_1(A,C),k4_oppcat_1(A,B)))))))))))) # label(t14_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9850 (all A (v2_cat_1(A) & l1_cat_1(A) -> v1_cat_1(k2_oppcat_1(A)) & l1_cat_1(k2_oppcat_1(A)) & v2_cat_1(k2_oppcat_1(A)))) # label(dt_k2_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9851 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(k2_oppcat_1(A))) -> k5_oppcat_1(A,k6_oppcat_1(A,B)) = B)))) # label(t8_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9852 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) -> C = k7_oppcat_1(A,B,k8_oppcat_1(A,B,C)))))))) # label(t48_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9853 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v1_cat_1(B) & l1_cat_1(B) & v2_cat_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u2_cat_1(B),u2_cat_1(A)) & m2_relset_1(C,u2_cat_1(B),u2_cat_1(A)) -> C = k8_oppcat_1(k2_oppcat_1(B),A,k8_oppcat_1(B,A,C)))))))) # label(t52_oppcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9854 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,B) -> (all E (v1_funct_1(E) & m2_relset_1(E,k2_zfmisc_1(A,A),A) & v1_funct_2(E,k2_zfmisc_1(A,A),A) -> (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) -> (r2_binop_1(k2_zfmisc_1(A,B),k1_domain_1(A,B,C,D),k7_filter_1(A,B,E,F)) <-> r2_binop_1(B,D,F) & r2_binop_1(A,C,E)))))))))))))) # label(t26_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9855 (all A (-v3_struct_0(A) & l3_lattices(A) -> (all B (l3_lattices(B) & -v3_struct_0(B) -> (-v3_struct_0(k8_filter_1(A,B)) & v10_lattices(k8_filter_1(A,B)) & l3_lattices(k8_filter_1(A,B)) -> v10_lattices(A) & -v3_struct_0(B) & l3_lattices(B) & v10_lattices(B) & l3_lattices(A) & -v3_struct_0(A)))))) # label(t35_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9856 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(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_subset_1(E,u1_struct_0(B)) -> (all F (m1_subset_1(F,u1_struct_0(B)) -> k3_lattices(k8_filter_1(A,B),k10_filter_1(A,B,C,E),k10_filter_1(A,B,D,F)) = k10_filter_1(A,B,k3_lattices(A,C,D),k3_lattices(B,E,F)) & k4_lattices(k8_filter_1(A,B),k10_filter_1(A,B,C,E),k10_filter_1(A,B,D,F)) = k10_filter_1(A,B,k4_lattices(A,C,D),k4_lattices(B,E,F)))))))))))))) # label(t36_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9857 (all A (-v1_xboole_0(A) -> (all B (m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) & v3_relat_2(B) -> (all C (m2_filter_1(C,A,B) -> (all D (m2_filter_1(D,A,B) -> (r5_binop_1(A,C,D) -> r5_binop_1(k8_eqrel_1(A,B),k4_filter_1(A,B,C),k4_filter_1(A,B,D))))))))))) # label(t10_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9858 (all A (-v3_struct_0(A) & l3_lattices(A) & v3_filter_0(A) & v10_lattices(A) -> (all B (m1_filter_0(B,A) -> m2_filter_1(u2_lattices(A),u1_struct_0(A),k11_filter_0(A,B)))))) # label(t13_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9859 (all A all B (-v3_struct_0(A) & -v3_struct_0(B) & l3_lattices(B) & l3_lattices(A) -> v3_lattices(k8_filter_1(A,B)) & l3_lattices(k8_filter_1(A,B)))) # label(dt_k8_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9860 (all A all B (-v1_xboole_0(A) & v1_relat_1(B) -> (exists C m1_filter_1(C,A,B)))) # label(existence_m1_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9861 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (v10_lattices(B) & l3_lattices(B) & -v3_struct_0(B) -> (-v3_struct_0(A) & v10_lattices(A) & v15_lattices(A) & v10_lattices(B) & v15_lattices(B) & l3_lattices(B) & v16_lattices(B) & -v3_struct_0(B) & l3_lattices(A) & v16_lattices(A) <-> -v3_struct_0(k8_filter_1(A,B)) & v10_lattices(k8_filter_1(A,B)) & l3_lattices(k8_filter_1(A,B)) & v16_lattices(k8_filter_1(A,B)) & v15_lattices(k8_filter_1(A,B))))))) # label(t46_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9862 (all A all B (v10_lattices(A) & -v3_struct_0(B) & l3_lattices(B) & v10_lattices(B) & l3_lattices(A) & -v3_struct_0(A) -> (r1_filter_1(A,B) -> r1_filter_1(B,A)))) # label(symmetry_r1_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9863 (all A (-v1_xboole_0(A) -> (all B (m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) & v3_relat_2(B) -> (all C (m2_filter_1(C,A,B) -> (all D (m2_filter_1(D,A,B) -> (r6_binop_1(A,C,D) -> r6_binop_1(k8_eqrel_1(A,B),k4_filter_1(A,B,C),k4_filter_1(A,B,D))))))))))) # label(t11_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9864 (all A (-v1_xboole_0(A) -> (all B (v1_relat_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) -> (m2_filter_1(C,A,B) <-> (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) -> (r2_hidden(k1_domain_1(A,A,D,E),B) & r2_hidden(k1_domain_1(A,A,F,G),B) -> r2_hidden(k1_domain_1(A,A,k2_binop_1(A,A,A,C,D,F),k2_binop_1(A,A,A,C,E,G)),B))))))))))))))))) # label(d2_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9865 (all A (v10_lattices(A) & v3_filter_0(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)) -> k4_lattices(k5_filter_1(A,B),k6_filter_1(A,B,C),k6_filter_1(A,B,D)) = k6_filter_1(A,B,k4_lattices(A,C,D)) & k3_lattices(k5_filter_1(A,B),k6_filter_1(A,B,C),k6_filter_1(A,B,D)) = k6_filter_1(A,B,k3_lattices(A,C,D)))))))))) # label(t15_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9866 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(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) -> (all D (v1_funct_1(D) & m2_relset_1(D,k2_zfmisc_1(A,A),A) & v1_funct_2(D,k2_zfmisc_1(A,A),A) -> (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 (m2_relset_1(F,k2_zfmisc_1(B,B),B) & v1_funct_2(F,k2_zfmisc_1(B,B),B) & v1_funct_1(F) -> (r5_binop_1(B,E,F) & r5_binop_1(A,C,D) <-> r5_binop_1(k2_zfmisc_1(A,B),k7_filter_1(A,B,C,E),k7_filter_1(A,B,D,F))))))))))))))) # label(t29_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9867 (all A (m1_subset_1(A,f1_s2_filter_1) -> (all B (m1_subset_1(B,f1_s2_filter_1) -> p1_s2_filter_1(k2_filter_1(f1_s2_filter_1,f2_s2_filter_1,A),k2_filter_1(f1_s2_filter_1,f2_s2_filter_1,B)))))) -> (all A (m2_subset_1(A,k1_zfmisc_1(f1_s2_filter_1),k8_eqrel_1(f1_s2_filter_1,f2_s2_filter_1)) -> (all B (m2_subset_1(B,k1_zfmisc_1(f1_s2_filter_1),k8_eqrel_1(f1_s2_filter_1,f2_s2_filter_1)) -> p1_s2_filter_1(A,B))))) # label(s2_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9868 (all A (-v3_struct_0(A) & v10_lattices(A) & v3_filter_0(A) & l3_lattices(A) -> (all B (m1_filter_0(B,A) -> l3_lattices(k5_filter_1(A,B)) & k6_lattices(k5_filter_1(A,B)) = k6_filter_1(A,B,k6_lattices(A)) & v14_lattices(k5_filter_1(A,B)) & v10_lattices(k5_filter_1(A,B)) & -v3_struct_0(k5_filter_1(A,B)))))) # label(t19_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9869 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l3_lattices(B) & v10_lattices(B) -> (v3_filter_0(k8_filter_1(A,B)) <-> v3_filter_0(A) & v3_filter_0(B)))))) # label(t48_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9870 (all A all B all C all D (v10_lattices(A) & -v3_struct_0(B) & v10_lattices(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) & l3_lattices(B) & l3_lattices(A) & -v3_struct_0(A) -> m1_subset_1(k10_filter_1(A,B,C,D),u1_struct_0(k8_filter_1(A,B))))) # label(dt_k10_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9871 (all A all B (-v3_struct_0(A) & v10_lattices(A) & v10_lattices(B) & l3_lattices(B) & -v3_struct_0(B) & l3_lattices(A) -> r1_filter_1(A,A))) # label(reflexivity_r1_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9872 (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)) -> C = k9_filter_0(A,B,k9_filter_0(A,B,C)))))))) # label(t54_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9873 (all A all B (l3_lattices(A) & -v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) & v10_lattices(A) & -v3_struct_0(A) -> -v3_struct_0(k8_filter_1(A,B)) & v8_lattices(k8_filter_1(A,B)) & v9_lattices(k8_filter_1(A,B)) & v10_lattices(k8_filter_1(A,B)) & v7_lattices(k8_filter_1(A,B)) & v6_lattices(k8_filter_1(A,B)) & v5_lattices(k8_filter_1(A,B)) & v4_lattices(k8_filter_1(A,B)) & v3_lattices(k8_filter_1(A,B)))) # label(fc3_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9874 (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)) -> k7_lattices(A,k9_filter_0(A,B,C)) = k9_filter_0(A,B,k7_lattices(A,C)) & k9_filter_0(A,k7_lattices(A,B),C) = k7_lattices(A,k9_filter_0(A,B,C)) & k7_lattices(A,k9_filter_0(A,B,C)) = k3_lattices(A,k4_lattices(A,B,k7_lattices(A,C)),k4_lattices(A,k7_lattices(A,B),C)) & k7_lattices(A,k4_filter_0(A,B,C)) = k4_lattices(A,B,k7_lattices(A,C)))))))) # label(t52_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9875 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l3_lattices(B) & v10_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)) -> (r3_lattices(k8_filter_1(A,B),k10_filter_1(A,B,C,E),k10_filter_1(A,B,D,F)) <-> r3_lattices(B,E,F) & r3_lattices(A,C,D)))))))))))))) # label(t37_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9876 (all A all B all C (-v1_xboole_0(A) & v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A,A) & m1_subset_1(C,A) & m1_relset_1(B,A,A) -> k6_eqrel_1(A,B,C) = k2_filter_1(A,B,C))) # label(redefinition_k2_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9877 (all A all B (-v3_struct_0(A) & v10_lattices(A) & m1_filter_0(B,A) & l3_lattices(A) -> -v3_struct_0(k5_filter_1(A,B)) & l3_lattices(k5_filter_1(A,B)) & v10_lattices(k5_filter_1(A,B)) & v3_lattices(k5_filter_1(A,B)))) # label(dt_k5_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9878 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> k8_filter_1(k1_lattice2(A),k1_lattice2(B)) = k1_lattice2(k8_filter_1(A,B)))))) # label(t49_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9879 (all A all B (v1_relat_1(B) & -v1_xboole_0(A) -> (all C (m2_filter_1(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_m2_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9880 (all A all B all C (v3_relat_2(B) & v1_partfun1(B,A,A) & v1_funct_1(C) & m1_relset_1(C,A,A) & v1_funct_2(C,A,A) & m1_relset_1(B,A,A) & v8_relat_2(B) & -v1_xboole_0(A) -> m2_relset_1(k3_filter_1(A,B,C),k8_eqrel_1(A,B),k8_eqrel_1(A,B)) & v1_funct_2(k3_filter_1(A,B,C),k8_eqrel_1(A,B),k8_eqrel_1(A,B)) & v1_funct_1(k3_filter_1(A,B,C)))) # label(dt_k3_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9881 (all A (m1_subset_1(A,f1_s1_filter_1) -> p1_s1_filter_1(k2_filter_1(f1_s1_filter_1,f2_s1_filter_1,A)))) -> (all A (m2_subset_1(A,k1_zfmisc_1(f1_s1_filter_1),k8_eqrel_1(f1_s1_filter_1,f2_s1_filter_1)) -> p1_s1_filter_1(A))) # label(s1_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9882 (all A (-v1_xboole_0(A) -> (all B (v3_relat_2(B) & v8_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) -> (all C (m2_filter_1(C,A,B) -> (v2_binop_1(C,A) -> v2_binop_1(k4_filter_1(A,B,C),k8_eqrel_1(A,B))))))))) # label(t5_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9883 (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) -> m1_filter_0(k5_subset_1(u1_struct_0(A),B,C),A))))))) # label(t1_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9884 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (-v3_struct_0(A) & -v3_struct_0(B) & v10_lattices(B) & v13_lattices(B) & l3_lattices(B) & l3_lattices(A) & v13_lattices(A) & v10_lattices(A) -> k10_filter_1(A,B,k5_lattices(A),k5_lattices(B)) = k5_lattices(k8_filter_1(A,B))))))) # label(t43_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9885 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(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) -> (all D (v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m2_relset_1(D,k2_zfmisc_1(A,A),A) -> (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_1(F) & v1_funct_2(F,k2_zfmisc_1(B,B),B) & m2_relset_1(F,k2_zfmisc_1(B,B),B) -> (r4_binop_1(A,C,D) & r4_binop_1(B,E,F) <-> r4_binop_1(k2_zfmisc_1(A,B),k7_filter_1(A,B,C,E),k7_filter_1(A,B,D,F))))))))))))))) # label(t28_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9886 (all A (-v1_xboole_0(A) -> (all B (v3_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v8_relat_2(B) -> (all C (m2_relset_1(C,A,A) & v1_funct_2(C,A,A) & v1_funct_1(C) -> (m1_filter_1(C,A,B) -> (all D (v1_funct_1(D) & v1_funct_2(D,k8_eqrel_1(A,B),k8_eqrel_1(A,B)) & m2_relset_1(D,k8_eqrel_1(A,B),k8_eqrel_1(A,B)) -> (D = k3_filter_1(A,B,C) <-> (all E all F (r2_hidden(F,E) & r2_hidden(E,k8_eqrel_1(A,B)) -> k6_eqrel_1(A,B,k1_funct_1(C,F)) = k1_funct_1(D,E))))))))))))) # label(d3_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9887 (all A (-v1_xboole_0(A) -> (all B (-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(B,B),B) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & v1_funct_1(D) -> (v2_binop_1(C,A) & v2_binop_1(D,B) <-> v2_binop_1(k7_filter_1(A,B,C,D),k2_zfmisc_1(A,B))))))))))) # label(t24_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9888 (all A (v10_lattices(A) & l3_lattices(A) & v3_filter_0(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> v3_filter_0(k5_filter_1(A,B)))))) # label(t20_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9889 (all A (-v3_struct_0(A) & v10_lattices(A) & v3_filter_0(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)) -> (r3_lattices(k5_filter_1(A,B),k6_filter_1(A,B,C),k6_filter_1(A,B,D)) <-> r2_hidden(k4_filter_0(A,C,D),B)))))))))) # label(t16_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9890 (all A (-v3_struct_0(A) & l3_lattices(A) & v17_lattices(A) & v10_lattices(A) -> (all B (m1_filter_0(B,A) -> v10_lattices(k5_filter_1(A,B)) & v17_lattices(k5_filter_1(A,B)) & l3_lattices(k5_filter_1(A,B)) & -v3_struct_0(k5_filter_1(A,B)))))) # label(t21_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9891 (all A all B all C (m1_filter_0(B,A) & m1_filter_0(C,A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> k1_filter_1(A,B,C) = k1_filter_1(A,C,B))) # label(commutativity_k1_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9892 (all A (m1_subset_1(A,f1_s6_filter_1) -> (all B (m1_subset_1(B,f1_s6_filter_1) -> (all C (m1_subset_1(C,f1_s6_filter_1) -> (all D (m1_subset_1(D,f2_s6_filter_1) -> (all E (m1_subset_1(E,f2_s6_filter_1) -> (all F (m1_subset_1(F,f2_s6_filter_1) -> p1_s6_filter_1(k1_domain_1(f1_s6_filter_1,f2_s6_filter_1,A,D),k1_domain_1(f1_s6_filter_1,f2_s6_filter_1,B,E),k1_domain_1(f1_s6_filter_1,f2_s6_filter_1,C,F)))))))))))))) -> (all A (m1_subset_1(A,k2_zfmisc_1(f1_s6_filter_1,f2_s6_filter_1)) -> (all B (m1_subset_1(B,k2_zfmisc_1(f1_s6_filter_1,f2_s6_filter_1)) -> (all C (m1_subset_1(C,k2_zfmisc_1(f1_s6_filter_1,f2_s6_filter_1)) -> p1_s6_filter_1(A,B,C))))))) # label(s6_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9893 (all A (m1_subset_1(A,f1_s5_filter_1) -> (all B (m1_subset_1(B,f1_s5_filter_1) -> (all C (m1_subset_1(C,f2_s5_filter_1) -> (all D (m1_subset_1(D,f2_s5_filter_1) -> p1_s5_filter_1(k1_domain_1(f1_s5_filter_1,f2_s5_filter_1,A,C),k1_domain_1(f1_s5_filter_1,f2_s5_filter_1,B,D)))))))))) -> (all A (m1_subset_1(A,k2_zfmisc_1(f1_s5_filter_1,f2_s5_filter_1)) -> (all B (m1_subset_1(B,k2_zfmisc_1(f1_s5_filter_1,f2_s5_filter_1)) -> p1_s5_filter_1(A,B))))) # label(s5_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9894 (all A all B all C (v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,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,A,A) & -v1_xboole_0(A) -> v1_funct_1(k4_filter_1(A,B,C)) & m2_relset_1(k4_filter_1(A,B,C),k2_zfmisc_1(k8_eqrel_1(A,B),k8_eqrel_1(A,B)),k8_eqrel_1(A,B)) & v1_funct_2(k4_filter_1(A,B,C),k2_zfmisc_1(k8_eqrel_1(A,B),k8_eqrel_1(A,B)),k8_eqrel_1(A,B)))) # label(dt_k4_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9895 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(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 (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 (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) -> (r1_lattice2(k2_zfmisc_1(A,B),k7_filter_1(A,B,C,E),k7_filter_1(A,B,D,F)) <-> r1_lattice2(B,E,F) & r1_lattice2(A,C,D)))))))))))))) # label(t31_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9896 (all A all B all C all D (v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & m1_relset_1(D,k2_zfmisc_1(B,B),B) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> v1_funct_1(k7_filter_1(A,B,C,D)) & m2_relset_1(k7_filter_1(A,B,C,D),k2_zfmisc_1(k2_zfmisc_1(A,B),k2_zfmisc_1(A,B)),k2_zfmisc_1(A,B)) & v1_funct_2(k7_filter_1(A,B,C,D),k2_zfmisc_1(k2_zfmisc_1(A,B),k2_zfmisc_1(A,B)),k2_zfmisc_1(A,B)))) # label(dt_k7_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9897 (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 (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)) -> (-v3_struct_0(A) & l3_lattices(A) & -v3_struct_0(B) & v10_lattices(B) & v15_lattices(B) & l3_lattices(B) & v15_lattices(A) & v10_lattices(A) -> (r2_lattices(A,C,D) & r2_lattices(B,E,F) <-> r2_lattices(k8_filter_1(A,B),k10_filter_1(A,B,C,E),k10_filter_1(A,B,D,F)))))))))))))))) # label(t45_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9898 (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)) -> r3_lattices(A,k4_lattices(A,k4_filter_0(A,B,C),k4_filter_0(A,D,C)),k4_filter_0(A,k3_lattices(A,B,D),C)))))))))) # label(t57_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9899 (all A all B all C (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_filter_0(B,A) & m1_subset_1(C,u1_struct_0(A)) -> m1_subset_1(k6_filter_1(A,B,C),u1_struct_0(k5_filter_1(A,B))))) # label(dt_k6_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9900 (all A (v10_lattices(A) & v3_filter_0(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)) -> k4_filter_0(A,B,k4_lattices(A,B,C)) = k4_filter_0(A,B,C) & k4_filter_0(A,k3_lattices(A,B,C),B) = k4_filter_0(A,C,B))))))) # label(t55_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9901 (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)) -> r1_filter_1(A,k8_filter_1(k5_filter_1(A,k2_filter_0(A,B)),k8_filter_0(A,k2_filter_0(A,B)))))))) # label(t62_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9902 (all A (m1_subset_1(A,f1_s3_filter_1) -> (all B (m1_subset_1(B,f1_s3_filter_1) -> (all C (m1_subset_1(C,f1_s3_filter_1) -> p1_s3_filter_1(k2_filter_1(f1_s3_filter_1,f2_s3_filter_1,A),k2_filter_1(f1_s3_filter_1,f2_s3_filter_1,B),k2_filter_1(f1_s3_filter_1,f2_s3_filter_1,C)))))))) -> (all A (m2_subset_1(A,k1_zfmisc_1(f1_s3_filter_1),k8_eqrel_1(f1_s3_filter_1,f2_s3_filter_1)) -> (all B (m2_subset_1(B,k1_zfmisc_1(f1_s3_filter_1),k8_eqrel_1(f1_s3_filter_1,f2_s3_filter_1)) -> (all C (m2_subset_1(C,k1_zfmisc_1(f1_s3_filter_1),k8_eqrel_1(f1_s3_filter_1,f2_s3_filter_1)) -> p1_s3_filter_1(A,B,C))))))) # label(s3_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9903 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (v12_lattices(B) & v12_lattices(A) <-> v12_lattices(k8_filter_1(A,B))))))) # label(t38_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9904 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,B) -> (all F (m1_subset_1(F,B) -> (all G (v1_funct_2(G,k2_zfmisc_1(A,A),A) & m2_relset_1(G,k2_zfmisc_1(A,A),A) & v1_funct_1(G) -> (all H (v1_funct_1(H) & v1_funct_2(H,k2_zfmisc_1(B,B),B) & m2_relset_1(H,k2_zfmisc_1(B,B),B) -> k2_binop_1(k2_zfmisc_1(A,B),k2_zfmisc_1(A,B),k2_zfmisc_1(A,B),k7_filter_1(A,B,G,H),k1_domain_1(A,B,C,E),k1_domain_1(A,B,D,F)) = k1_domain_1(A,B,k2_binop_1(A,A,A,G,C,D),k2_binop_1(B,B,B,H,E,F)))))))))))))))))) # label(t22_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9905 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (-v3_struct_0(A) & l3_lattices(A) & -v3_struct_0(B) & v14_lattices(B) & l3_lattices(B) & v10_lattices(B) & v14_lattices(A) & v10_lattices(A) -> k10_filter_1(A,B,k6_lattices(A),k6_lattices(B)) = k6_lattices(k8_filter_1(A,B))))))) # label(t44_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9906 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (v10_lattices(B) & l3_lattices(B) & -v3_struct_0(B) -> (v13_lattices(A) & v13_lattices(B) <-> v13_lattices(k8_filter_1(A,B))))))) # label(t40_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9907 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l3_lattices(B) & v10_lattices(B) -> (v15_lattices(k8_filter_1(A,B)) <-> v15_lattices(A) & v15_lattices(B)))))) # label(t42_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9908 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,B) -> (all E (v1_funct_2(E,k2_zfmisc_1(A,A),A) & m2_relset_1(E,k2_zfmisc_1(A,A),A) & v1_funct_1(E) -> (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) -> (r3_binop_1(B,D,F) & r3_binop_1(A,C,E) <-> r3_binop_1(k2_zfmisc_1(A,B),k1_domain_1(A,B,C,D),k7_filter_1(A,B,E,F))))))))))))))) # label(t27_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9909 (all A all B all C all D (v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & m1_relset_1(D,k2_zfmisc_1(B,B),B) & v1_funct_1(C) -> k7_filter_1(A,B,C,D) = k3_funct_4(C,D))) # label(redefinition_k7_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9910 (all A all B (v8_relat_2(B) & v1_partfun1(B,A,A) & m1_relset_1(B,A,A) & v3_relat_2(B) & -v1_xboole_0(A) -> -v1_xboole_0(k7_eqrel_1(A,B)))) # label(fc1_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9911 (all A (-v1_xboole_0(A) -> (all B (v8_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v3_relat_2(B) -> (all C (m1_subset_1(C,A) -> (all D (m2_filter_1(D,A,B) -> (r1_binop_1(A,C,D) -> r1_binop_1(k8_eqrel_1(A,B),k2_filter_1(A,B,C),k4_filter_1(A,B,D))))))))))) # label(t6_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.81	9912 (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)) -> (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v3_filter_0(A) -> (all D (m1_subset_1(D,u1_struct_0(k5_filter_1(A,B))) -> ((all E (v1_partfun1(E,u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(E,u1_struct_0(A),u1_struct_0(A)) & v8_relat_2(E) & v3_relat_2(E) -> (E = k10_filter_0(A,B) -> k2_filter_1(u1_struct_0(A),E,C) = D))) <-> D = k6_filter_1(A,B,C))))))))))) # label(d6_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9913 (all A all B all C all D (-v3_struct_0(A) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) & v10_lattices(B) & -v3_struct_0(B) & l3_lattices(A) & v10_lattices(A) -> k10_filter_1(A,B,C,D) = k4_tarski(C,D))) # label(redefinition_k10_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9914 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> v1_relat_1(k9_filter_1(A)))) # label(dt_k9_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9915 (all A all B (v10_lattices(B) & l3_lattices(B) & -v3_struct_0(B) -> (r2_hidden(A,a_1_0_filter_1(B)) <-> (exists C exists D (m1_subset_1(C,u1_struct_0(B)) & k1_domain_1(u1_struct_0(B),u1_struct_0(B),C,D) = A & r3_lattices(B,C,D) & m1_subset_1(D,u1_struct_0(B))))))) # label(fraenkel_a_1_0_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9916 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (-v3_struct_0(k8_filter_1(A,B)) & l3_lattices(k8_filter_1(A,B)) & v11_lattices(k8_filter_1(A,B)) & v10_lattices(k8_filter_1(A,B)) <-> l3_lattices(B) & v11_lattices(B) & v10_lattices(B) & -v3_struct_0(B) & l3_lattices(A) & v11_lattices(A) & v10_lattices(A) & -v3_struct_0(A)))))) # label(t39_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9917 (all A (l3_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l3_lattices(B) -> g3_lattices(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k7_filter_1(u1_struct_0(A),u1_struct_0(B),u2_lattices(A),u2_lattices(B)),k7_filter_1(u1_struct_0(A),u1_struct_0(B),u1_lattices(A),u1_lattices(B))) = k8_filter_1(A,B))))) # label(d7_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9918 (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(k8_filter_1(A,B),k8_filter_1(B,A)))))) # label(t50_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9919 (all A (-v1_xboole_0(A) -> (all B (m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) & v3_relat_2(B) -> (all C (m2_filter_1(C,A,B) -> (all D (m2_filter_1(D,A,B) -> (r1_lattice2(A,C,D) -> r1_lattice2(k8_eqrel_1(A,B),k4_filter_1(A,B,C),k4_filter_1(A,B,D))))))))))) # label(t12_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9920 (all A all B all C (l3_lattices(A) & m1_filter_0(B,A) & m1_filter_0(C,A) & v10_lattices(A) & -v3_struct_0(A) -> B = k1_filter_1(A,B,B))) # label(idempotence_k1_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9921 (all A (-v3_struct_0(A) & v10_lattices(A) & v3_filter_0(A) & l3_lattices(A) -> (all B (m1_filter_0(B,A) -> (v13_lattices(A) -> k6_filter_1(A,B,k5_lattices(A)) = k5_lattices(k5_filter_1(A,B)) & l3_lattices(k5_filter_1(A,B)) & v13_lattices(k5_filter_1(A,B)) & v10_lattices(k5_filter_1(A,B)) & -v3_struct_0(k5_filter_1(A,B))))))) # label(t18_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9922 (all A all B all C (v3_relat_2(B) & v1_partfun1(B,A,A) & m1_subset_1(C,A) & m1_relset_1(B,A,A) & v8_relat_2(B) & -v1_xboole_0(A) -> m2_subset_1(k2_filter_1(A,B,C),k1_zfmisc_1(A),k8_eqrel_1(A,B)))) # label(dt_k2_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9923 (all A (m1_subset_1(A,f1_s4_filter_1) -> (all B (m1_subset_1(B,f2_s4_filter_1) -> p1_s4_filter_1(k1_domain_1(f1_s4_filter_1,f2_s4_filter_1,A,B)))))) -> (all A (m1_subset_1(A,k2_zfmisc_1(f1_s4_filter_1,f2_s4_filter_1)) -> p1_s4_filter_1(A))) # label(s4_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9924 (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)) -> (r3_lattices(A,B,C) <-> r2_hidden(k1_domain_1(u1_struct_0(A),u1_struct_0(A),B,C),k9_filter_1(A))))))))) # label(t32_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9925 (all A all B all C (-v3_struct_0(A) & v10_lattices(A) & m1_filter_0(C,A) & m1_filter_0(B,A) & l3_lattices(A) -> k1_filter_1(A,B,C) = k3_xboole_0(B,C))) # label(redefinition_k1_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9926 (all A (-v3_struct_0(A) & v17_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)) -> (r2_hidden(D,k2_filter_1(u1_struct_0(A),k12_filter_0(A,k2_filter_0(A,C)),B)) -> r3_lattices(A,D,k3_lattices(A,B,k9_filter_0(A,B,C)))))) & r2_hidden(k3_lattices(A,B,k9_filter_0(A,B,C)),k2_filter_1(u1_struct_0(A),k12_filter_0(A,k2_filter_0(A,C)),B)))))))) # label(t61_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9927 (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_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)) -> (r2_hidden(C,k2_filter_1(u1_struct_0(A),k11_filter_0(A,B),D)) & r2_hidden(E,k2_filter_1(u1_struct_0(A),k11_filter_0(A,B),D)) -> r2_hidden(k3_lattices(A,C,E),k2_filter_1(u1_struct_0(A),k11_filter_0(A,B),D)) & r2_hidden(k4_lattices(A,C,E),k2_filter_1(u1_struct_0(A),k11_filter_0(A,B),D))))))))))))) # label(t60_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9928 (all A (-v3_struct_0(A) & v17_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)) -> (k9_filter_0(A,B,C) = k9_filter_0(A,B,D) -> C = D))))))))) # label(t53_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9929 (all A (v10_lattices(A) & v3_filter_0(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> m2_filter_1(u1_lattices(A),u1_struct_0(A),k11_filter_0(A,B)))))) # label(t14_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9930 (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 (v10_lattices(C) & l3_lattices(C) & -v3_struct_0(C) -> (r1_filter_1(A,B) & r1_filter_1(B,C) -> r1_filter_1(A,C)))))))) # label(t34_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9931 (all A all B (-v1_xboole_0(A) & v1_relat_1(B) -> (all C (m1_filter_1(C,A,B) -> v1_funct_1(C) & m2_relset_1(C,A,A) & v1_funct_2(C,A,A))))) # label(dt_m1_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9932 (all A (-v1_xboole_0(A) -> (all B (v8_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v3_relat_2(B) -> (all C (m1_subset_1(C,A) -> (all D (m2_filter_1(D,A,B) -> (r2_binop_1(A,C,D) -> r2_binop_1(k8_eqrel_1(A,B),k2_filter_1(A,B,C),k4_filter_1(A,B,D))))))))))) # label(t7_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9933 (all A (-v1_xboole_0(A) -> (all B (v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) -> (all C (m1_subset_1(C,A) -> (all D (m2_filter_1(D,A,B) -> (r3_binop_1(A,C,D) -> r3_binop_1(k8_eqrel_1(A,B),k2_filter_1(A,B,C),k4_filter_1(A,B,D))))))))))) # label(t8_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9934 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l3_lattices(B) & v10_lattices(B) -> (r1_filter_1(A,B) <-> r4_wellord1(k9_filter_1(A),k9_filter_1(B))))))) # label(d9_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9935 (all A (-v1_xboole_0(A) -> (all B (v8_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v3_relat_2(B) -> (all C (m2_filter_1(C,A,B) -> (all D (m2_filter_1(D,A,B) -> (r4_binop_1(A,C,D) -> r4_binop_1(k8_eqrel_1(A,B),k4_filter_1(A,B,C),k4_filter_1(A,B,D))))))))))) # label(t9_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9936 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,B) -> (all E (v1_funct_1(E) & m2_relset_1(E,k2_zfmisc_1(A,A),A) & v1_funct_2(E,k2_zfmisc_1(A,A),A) -> (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) -> (r1_binop_1(B,D,F) & r1_binop_1(A,C,E) <-> r1_binop_1(k2_zfmisc_1(A,B),k1_domain_1(A,B,C,D),k7_filter_1(A,B,E,F))))))))))))))) # label(t25_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9937 (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)) -> r3_lattices(A,k4_filter_0(A,B,C),k4_filter_0(A,k4_lattices(A,B,D),C)) & r3_lattices(A,k4_filter_0(A,B,C),k4_filter_0(A,B,k3_lattices(A,D,C))) & r3_lattices(A,k4_filter_0(A,B,C),k4_filter_0(A,k4_lattices(A,D,B),C)) & r3_lattices(A,k4_filter_0(A,B,C),k4_filter_0(A,B,k3_lattices(A,C,D))))))))))) # label(t56_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9938 (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)) -> k9_filter_0(A,B,C) = k3_lattices(A,k4_lattices(A,B,C),k4_lattices(A,k7_lattices(A,B),k7_lattices(A,C))))))))) # label(t51_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9939 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (v10_lattices(B) & l3_lattices(B) & -v3_struct_0(B) -> (-v3_struct_0(A) & l3_lattices(A) & -v3_struct_0(B) & v17_lattices(B) & l3_lattices(B) & v10_lattices(B) & v17_lattices(A) & v10_lattices(A) <-> v10_lattices(k8_filter_1(A,B)) & v17_lattices(k8_filter_1(A,B)) & l3_lattices(k8_filter_1(A,B)) & -v3_struct_0(k8_filter_1(A,B))))))) # label(t47_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9940 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> k3_relat_1(k9_filter_1(A)) = u1_struct_0(A) & k2_relat_1(k9_filter_1(A)) = u1_struct_0(A) & k1_relat_1(k9_filter_1(A)) = u1_struct_0(A))) # label(t33_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9941 (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_subset_1(D,u1_struct_0(A)) -> k4_filter_0(A,k4_lattices(A,B,C),D) = k4_filter_0(A,B,k4_filter_0(A,C,D)))))))))) # label(t17_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9942 (all A (-v1_xboole_0(A) -> (all B (v8_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v3_relat_2(B) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (all E (m2_filter_1(E,A,B) -> k2_filter_1(A,B,k2_binop_1(A,A,A,E,C,D)) = k2_binop_1(k8_eqrel_1(A,B),k8_eqrel_1(A,B),k8_eqrel_1(A,B),k4_filter_1(A,B,E),k2_filter_1(A,B,C),k2_filter_1(A,B,D)))))))))))) # label(t3_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9943 (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)) -> (k2_filter_0(A,C) = k2_filter_0(A,B) -> C = B))))))) # label(t2_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9944 (all A all B all C (-v3_struct_0(A) & v10_lattices(A) & m1_filter_0(B,A) & m1_filter_0(C,A) & l3_lattices(A) -> m1_filter_0(k1_filter_1(A,B,C),A))) # label(dt_k1_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9945 (all A (l3_lattices(A) & v3_filter_0(A) & v10_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)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (all F (m1_subset_1(F,u1_struct_0(A)) -> (r2_hidden(k9_filter_0(A,C,D),B) & r2_hidden(k9_filter_0(A,E,F),B) -> r2_hidden(k9_filter_0(A,k4_lattices(A,C,E),k4_lattices(A,D,F)),B) & r2_hidden(k9_filter_0(A,k3_lattices(A,C,E),k3_lattices(A,D,F)),B)))))))))))))) # label(t59_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9946 (all A (-v1_xboole_0(A) -> (all B (v3_relat_2(B) & v8_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) -> (all C (m2_filter_1(C,A,B) -> (v1_binop_1(C,A) -> v1_binop_1(k4_filter_1(A,B,C),k8_eqrel_1(A,B))))))))) # label(t4_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9947 (all A (-v1_xboole_0(A) -> (all B (v8_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(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) -> (m2_filter_1(C,A,B) -> (all D (m2_relset_1(D,k2_zfmisc_1(k8_eqrel_1(A,B),k8_eqrel_1(A,B)),k8_eqrel_1(A,B)) & v1_funct_2(D,k2_zfmisc_1(k8_eqrel_1(A,B),k8_eqrel_1(A,B)),k8_eqrel_1(A,B)) & v1_funct_1(D) -> (k4_filter_1(A,B,C) = D <-> (all E all F all G all H (r2_hidden(G,E) & r2_hidden(H,F) & r2_hidden(F,k8_eqrel_1(A,B)) & r2_hidden(E,k8_eqrel_1(A,B)) -> k6_eqrel_1(A,B,k1_binop_1(C,G,H)) = k1_binop_1(D,E,F))))))))))))) # label(d4_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9948 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_0(B,A) -> (v10_lattices(A) & v3_filter_0(A) & l3_lattices(A) & -v3_struct_0(A) -> (all C (v3_lattices(C) & v10_lattices(C) & l3_lattices(C) & -v3_struct_0(C) -> (C = k5_filter_1(A,B) <-> (all D (v3_relat_2(D) & v8_relat_2(D) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(A)) & v1_partfun1(D,u1_struct_0(A),u1_struct_0(A)) -> (D = k10_filter_0(A,B) -> C = g3_lattices(k8_eqrel_1(u1_struct_0(A),D),k4_filter_1(u1_struct_0(A),D,u2_lattices(A)),k4_filter_1(u1_struct_0(A),D,u1_lattices(A)))))))))))))) # label(d5_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9949 (all A all B (v1_relat_1(B) & -v1_xboole_0(A) -> (exists C m2_filter_1(C,A,B)))) # label(existence_m2_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9950 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (v14_lattices(A) & v14_lattices(B) <-> v14_lattices(k8_filter_1(A,B))))))) # label(t41_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9951 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(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 (v1_funct_1(D) & m2_relset_1(D,k2_zfmisc_1(B,B),B) & v1_funct_2(D,k2_zfmisc_1(B,B),B) -> (v1_binop_1(k7_filter_1(A,B,C,D),k2_zfmisc_1(A,B)) <-> v1_binop_1(C,A) & v1_binop_1(D,B)))))))))) # label(t23_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9952 (all A (-v1_xboole_0(A) -> (all B (v1_relat_1(B) -> (all C (m2_relset_1(C,A,A) & v1_funct_2(C,A,A) & v1_funct_1(C) -> (m1_filter_1(C,A,B) <-> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (r2_hidden(k1_domain_1(A,A,D,E),B) -> r2_hidden(k1_domain_1(A,A,k8_funct_2(A,A,C,D),k8_funct_2(A,A,C,E)),B))))))))))))) # label(d1_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9953 (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)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> r3_lattices(A,k4_lattices(A,k4_filter_0(A,B,C),k4_filter_0(A,B,D)),k4_filter_0(A,B,k4_lattices(A,C,D))))))))))) # label(t58_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9954 (all A (-v1_xboole_0(A) -> (all B (-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_2(D,k2_zfmisc_1(A,A),A) & m2_relset_1(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 (v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,B),B) & m2_relset_1(F,k2_zfmisc_1(B,B),B) -> (r6_binop_1(B,E,F) & r6_binop_1(A,C,D) <-> r6_binop_1(k2_zfmisc_1(A,B),k7_filter_1(A,B,C,E),k7_filter_1(A,B,D,F))))))))))))))) # label(t30_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9955 (all A all B (l3_lattices(A) & -v3_struct_0(B) & l3_lattices(B) & -v3_struct_0(A) -> -v3_struct_0(k8_filter_1(A,B)) & v3_lattices(k8_filter_1(A,B)))) # label(fc2_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9956 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> a_1_0_filter_1(A) = k9_filter_1(A))) # label(d8_filter_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9957 (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].
119.32/118.82	9958 $T # label(t71_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9959 (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].
119.32/118.82	9960 $T # label(t35_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9961 $T # label(t20_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9962 $T # label(t45_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9963 $T # label(t23_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9964 $T # label(t37_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9965 $T # label(t72_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9966 $T # label(t16_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9967 $T # label(t39_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9968 $T # label(t2_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9969 (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].
119.32/118.82	9970 $T # label(t74_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9971 $T # label(t13_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9972 $T # label(t31_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9973 $T # label(t59_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9974 $T # label(t26_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9975 $T # label(t40_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9976 $T # label(t50_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9977 $T # label(t47_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9978 (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].
119.32/118.82	9979 $T # label(t6_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9980 (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].
119.32/118.82	9981 $T # label(t19_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9982 $T # label(t18_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9983 $T # label(t29_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9984 $T # label(t28_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9985 (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].
119.32/118.82	9986 $T # label(t4_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9987 (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].
119.32/118.82	9988 $T # label(t46_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9989 (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].
119.32/118.82	9990 (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].
119.32/118.82	9991 (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].
119.32/118.82	9992 $T # label(t17_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9993 (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].
119.32/118.82	9994 $T # label(t58_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9995 $T # label(t12_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9996 $T # label(t43_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9997 (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].
119.32/118.82	9998 $T # label(t8_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	9999 $T # label(t34_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10000 (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].
119.32/118.82	10001 (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].
119.32/118.82	10002 (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].
119.32/118.82	10003 (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].
119.32/118.82	10004 (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].
119.32/118.82	10005 $T # label(t11_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10006 $T # label(t21_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10007 $T # label(t38_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10008 $T # label(t54_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10009 (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].
119.32/118.82	10010 (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].
119.32/118.82	10011 $T # label(t42_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10012 $T # label(t73_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10013 (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].
119.32/118.82	10014 $T # label(t14_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10015 (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].
119.32/118.82	10016 $T # label(t22_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10017 (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].
119.32/118.82	10018 $T # label(t32_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10019 $T # label(t53_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10020 $T # label(t51_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10021 $T # label(t3_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10022 $T # label(t9_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10023 (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].
119.32/118.82	10024 (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].
119.32/118.82	10025 (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].
119.32/118.82	10026 $T # label(t1_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10027 $T # label(t44_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10028 (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].
119.32/118.82	10029 $T # label(t30_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10030 $T # label(t57_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10031 (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].
119.32/118.82	10032 $T # label(t5_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10033 $T # label(t41_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10034 $T # label(t15_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10035 (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].
119.32/118.82	10036 (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].
119.32/118.82	10037 (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].
119.32/118.82	10038 $T # label(t25_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10039 $T # label(d2_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10040 $T # label(t7_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10041 $T # label(t24_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10042 $T # label(d1_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10043 (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].
119.32/118.82	10044 $T # label(t36_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10045 (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].
119.32/118.82	10046 (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].
119.32/118.82	10047 $T # label(t10_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10048 (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].
119.32/118.82	10049 $T # label(t27_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10050 (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].
119.32/118.82	10051 $T # label(t33_nat_lat) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10052 (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].
119.32/118.82	10053 (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].
119.32/118.82	10054 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> v1_group_1(k10_group_5(A)) & m1_group_2(k10_group_5(A),A))) # label(dt_k10_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10055 (all A all B all C (v4_group_1(A) & l1_group_1(A) & m1_finseq_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v3_group_1(A) & -v3_struct_0(A) -> m2_finseq_1(k1_group_5(A,B,C),u1_struct_0(A)))) # label(dt_k1_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10056 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all 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))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(B,C) & r1_tarski(D,E) -> r1_tarski(k4_group_5(A,B,D),k4_group_5(A,C,E))))))))))))) # label(t55_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10057 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (k7_group_3(A,B) = k6_domain_1(u1_struct_0(A),B) <-> r1_rlvect_1(k10_group_5(A),B)))))) # label(t93_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10058 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(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_group_5(A,C,k2_group_5(A,C,B)) = k3_group_5(A,B,C,k2_group_3(A,C,B)))))))) # label(t47_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10059 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k2_group_1(A) = k2_group_5(A,k3_group_1(A,B),B) & k2_group_1(A) = k2_group_5(A,B,k3_group_1(A,B)))))) # label(t24_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10060 (all A all B all C (-v3_struct_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> m1_subset_1(k4_group_5(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k4_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10061 (all A all B (l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (A = k2_group_1(B) <-> r1_rlvect_1(k5_group_2(B),A)))) # label(t1_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10062 (all A all B (v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & -v3_struct_0(B) -> (r2_hidden(A,k6_group_5(B)) <-> (exists C (m1_subset_1(C,u1_struct_0(B)) & (exists D (m1_subset_1(D,u1_struct_0(B)) & A = k2_group_5(B,C,D)))))))) # label(t65_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10063 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(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_group_5(A,B,k2_group_3(A,C,k3_group_1(A,B))) = k2_group_5(A,C,k3_group_1(A,B)))))))) # label(t33_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10064 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(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_group_5(A,k6_domain_1(u1_struct_0(A),B),k6_domain_1(u1_struct_0(A),C)) = k6_domain_1(u1_struct_0(A),k2_group_5(A,B,C)))))))) # label(t54_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10065 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> r1_rlvect_1(k9_group_5(A),k2_group_5(A,B,C)))))))) # label(t84_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10066 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_group_1(A) = k3_group_5(A,B,C,k2_group_1(A)) & k2_group_1(A) = k3_group_5(A,k2_group_1(A),B,C) & k2_group_1(A) = k3_group_5(A,B,k2_group_1(A),C))))))) # label(t43_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10067 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> ((all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> k5_group_5(A,B,C) = k6_domain_1(u1_struct_0(A),k2_group_1(A)))))) <-> -v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & v7_group_1(A) & l1_group_1(A)))) # label(t63_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10068 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v7_group_1(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_group_5(A,B,C) = k2_group_1(A)))))))) # label(t40_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10069 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v7_group_1(A) & v3_group_1(A) <-> (all 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))) -> -(B != k1_xboole_0 & k6_domain_1(u1_struct_0(A),k2_group_1(A)) != k4_group_5(A,B,C) & k1_xboole_0 != C)))))))) # label(t56_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10070 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_group_5(A,B,C) = k1_group_1(A,k1_group_1(A,k6_group_1(A,np__2,k3_group_1(A,B)),k6_group_1(A,np__2,k1_group_1(A,B,k3_group_1(A,C)))),k6_group_1(A,np__2,C)))))))) # label(t27_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10071 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_group_3(A,k1_group_1(A,k2_group_5(A,B,k3_group_1(A,C)),k2_group_5(A,B,C)),C) = k3_group_5(A,B,C,C))))))) # label(t46_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10072 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(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_group_5(A,B,C) = k2_group_1(A) <-> k1_group_1(A,C,B) = k1_group_1(A,B,C)))))))) # label(t39_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10073 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) & v1_group_1(B) -> (u1_struct_0(B) = a_1_0_group_5(A) <-> k10_group_5(A) = B))))) # label(d10_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10074 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(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_group_3(A,k2_group_5(A,B,C),D) = k2_group_5(A,k2_group_3(A,B,D),k2_group_3(A,C,D)))))))))) # label(t26_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10075 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(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))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(B,D) & r2_hidden(C,E) -> r1_rlvect_1(k7_group_5(A,D,E),k2_group_5(A,B,C))))))))))))) # label(t68_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10076 $T # label(t87_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10077 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_group_1(A,k3_group_1(A,k1_group_1(A,C,B)),k1_group_1(A,B,C)) = k2_group_5(A,B,C))))))) # label(t20_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10078 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(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)) -> k1_group_1(A,k1_group_1(A,k2_group_5(A,B,D),k3_group_5(A,B,D,C)),k2_group_5(A,C,D)) = k2_group_5(A,k1_group_1(A,B,C),D))))))))) # label(t48_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.82	10079 (all A all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) -> (all C (v1_group_1(C) & v1_group_3(C,B) & m1_group_2(C,B) -> (all D (m1_group_2(D,B) & v1_group_3(D,B) & v1_group_1(D) -> ((exists E ((exists F (A = k1_group_1(B,E,F) & r1_rlvect_1(D,F) & r1_rlvect_1(C,E) & m1_subset_1(F,u1_struct_0(B)))) & m1_subset_1(E,u1_struct_0(B)))) <-> r1_rlvect_1(k8_group_4(B,C,D),A)))))))) # label(t7_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10080 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(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_group_5(A,k2_group_5(A,B,C),D) = k3_group_5(A,B,C,D))))))))) # label(d3_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10081 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_group_5(A,k3_group_1(A,B),C) = k2_group_3(A,k2_group_5(A,C,B),k3_group_1(A,B)))))))) # label(t30_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10082 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> k6_domain_1(u1_struct_0(A),k2_group_1(A)) = k5_group_5(A,B,k5_group_2(A)) & k6_domain_1(u1_struct_0(A),k2_group_1(A)) = k5_group_5(A,k5_group_2(A),B))))) # label(t60_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10083 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> m1_group_2(k10_group_5(A),A) & v1_group_3(k10_group_5(A),A))) # label(t90_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10084 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v7_group_1(A) & -v3_struct_0(A) <-> k10_group_5(A) = A))) # label(t94_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10085 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(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)) -> k1_group_1(A,B,C) = k1_group_1(A,C,B))) <-> r1_rlvect_1(k10_group_5(A),B)))))) # label(t89_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10086 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (v1_group_3(C,A) & m1_group_2(C,A) -> k7_group_4(A,C,B) = k7_group_4(A,B,C))))))) # label(t8_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10087 $T # label(t88_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10088 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(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_group_2(D,A) -> (r1_rlvect_1(D,B) & r1_rlvect_1(D,C) -> r1_rlvect_1(D,k2_group_5(A,B,C))))))))))) # label(t41_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10089 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> (all E (m1_group_2(E,A) -> (m1_group_2(B,C) & m1_group_2(D,E) -> m1_group_2(k8_group_5(A,B,D),k8_group_5(A,C,E))))))))))))) # label(t75_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10090 (all A all B (-v3_struct_0(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> ((exists E ((exists F (m1_subset_1(F,u1_struct_0(B)) & A = k2_group_5(B,E,F) & r2_hidden(F,D) & r2_hidden(E,C))) & m1_subset_1(E,u1_struct_0(B)))) <-> r2_hidden(A,k4_group_5(B,C,D))))))))) # label(t52_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10091 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(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_group_2(D,A) -> (all E (m1_group_2(E,A) -> (r1_rlvect_1(D,B) & r1_rlvect_1(E,C) -> r1_rlvect_1(k8_group_5(A,D,E),k2_group_5(A,B,C))))))))))))) # label(t74_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10092 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> k9_group_5(A) = k8_group_5(A,k6_group_2(A),k6_group_2(A)))) # label(d9_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10093 (all A all B (-v3_struct_0(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) -> (all C (m1_group_2(C,B) -> (all D (m1_group_2(D,B) -> (k7_group_4(B,C,D) = k7_group_4(B,D,C) -> ((exists E ((exists F (m1_subset_1(F,u1_struct_0(B)) & r1_rlvect_1(D,F) & r1_rlvect_1(C,E) & A = k1_group_1(B,E,F))) & m1_subset_1(E,u1_struct_0(B)))) <-> r1_rlvect_1(k8_group_4(B,C,D),A))))))))) # label(t5_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10094 (all A all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) -> (all C (m1_group_2(C,B) -> (all D (m1_group_2(D,B) -> ((exists E ((exists F (m1_subset_1(F,u1_struct_0(B)) & k2_group_5(B,E,F) = A & r1_rlvect_1(C,E) & r1_rlvect_1(D,F))) & m1_subset_1(E,u1_struct_0(B)))) <-> r2_hidden(A,k5_group_5(B,C,D))))))))) # label(t58_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10095 (all A all B all C all D (-v3_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> m1_subset_1(k3_group_5(A,B,C,D),u1_struct_0(A)))) # label(dt_k3_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10096 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(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_group_1(A,k2_group_3(A,k2_group_5(A,B,D),C),k2_group_5(A,C,D)) = k2_group_5(A,k1_group_1(A,B,C),D))))))))) # label(t28_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10097 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> k8_group_5(A,B,C) = k7_group_5(A,k7_group_2(A,B),k7_group_2(A,C)))))))) # label(d8_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10098 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_group_1(A) -> v1_group_1(k7_group_5(A,B,C)) & m1_group_2(k7_group_5(A,B,C),A))) # label(dt_k7_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10099 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> r1_group_2(A,k8_group_5(A,B,C),k5_group_4(A,k5_group_5(A,B,C))))))))) # label(t72_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10100 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_group_5(A,B,C) = k1_group_1(A,k1_group_1(A,k1_group_1(A,k3_group_1(A,B),k3_group_1(A,C)),B),C) & k2_group_5(A,B,C) = k1_group_1(A,k1_group_1(A,k3_group_1(A,B),k1_group_1(A,k3_group_1(A,C),B)),C) & k2_group_5(A,B,C) = k1_group_1(A,k3_group_1(A,B),k1_group_1(A,k1_group_1(A,k3_group_1(A,C),B),C)) & k2_group_5(A,B,C) = k1_group_1(A,k3_group_1(A,B),k1_group_1(A,k3_group_1(A,C),k1_group_1(A,B,C))) & k2_group_5(A,B,C) = k1_group_1(A,k1_group_1(A,k3_group_1(A,B),k3_group_1(A,C)),k1_group_1(A,B,C)))))))) # label(t19_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10101 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(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_group_5(A,k2_group_3(A,B,C),B) = k3_group_5(A,B,C,B))))))) # label(t45_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10102 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(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)) -> k1_group_5(A,k8_rlvect_1(A,B,C,D),E) = k8_rlvect_1(A,k2_group_3(A,B,E),k2_group_3(A,C,E),k2_group_3(A,D,E)))))))))))) # label(t16_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10103 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (-v3_struct_0(A) & v7_group_1(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) <-> k6_domain_1(u1_struct_0(A),k2_group_1(A)) = k6_group_5(A)))) # label(t66_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10104 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> k1_group_1(B,k6_group_1(B,k4_xcmplx_0(A),C),k6_group_1(B,A,k2_group_3(B,C,D))) = k2_group_5(B,k6_group_1(B,A,C),D))))))))) # label(t35_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10105 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> (all E (m1_group_2(E,A) -> (m1_group_2(D,E) & m1_group_2(B,C) -> r1_tarski(k5_group_5(A,B,D),k5_group_5(A,C,E))))))))))))) # label(t62_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10106 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> k3_group_4(A,k1_group_5(A,C,B)) = k2_group_3(A,k3_group_4(A,C),B))))))) # label(t17_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10107 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m2_finseq_1(D,u1_struct_0(A)) -> (k1_group_5(A,B,C) = D <-> k3_finseq_1(D) = k3_finseq_1(B) & (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (r2_hidden(E,k4_finseq_1(B)) -> k1_funct_1(D,E) = k2_group_3(A,k4_finseq_4(k5_numbers,u1_struct_0(A),B,E),C))))))))))))) # label(d1_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10108 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k2_group_5(A,B,k2_group_1(A)) = k2_group_1(A) & k2_group_1(A) = k2_group_5(A,k2_group_1(A),B))))) # label(t22_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10109 $T # label(t81_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10110 (all A (v1_int_1(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> k2_group_5(B,k6_group_1(B,A,C),D) = k1_group_1(B,k6_group_1(B,k4_xcmplx_0(A),C),k6_group_1(B,A,k2_group_3(B,C,D))))))))))) # label(t37_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10111 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> k2_group_5(B,C,k6_group_1(B,A,D)) = k1_group_1(B,k6_group_1(B,k4_xcmplx_0(A),k2_group_3(B,D,C)),k6_group_1(B,A,D)))))))))) # label(t36_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10112 (all A all B (-v3_struct_0(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) -> (r2_hidden(A,a_1_0_group_5(B)) <-> (exists C (m1_subset_1(C,u1_struct_0(B)) & (all D (m1_subset_1(D,u1_struct_0(B)) -> k1_group_1(B,C,D) = k1_group_1(B,D,C))) & C = A))))) # label(fraenkel_a_1_0_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10113 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (all D (m2_finseq_1(D,u1_struct_0(A)) -> k1_group_5(A,k8_finseq_1(u1_struct_0(A),C,D),B) = k8_finseq_1(u1_struct_0(A),k1_group_5(A,C,B),k1_group_5(A,D,B)))))))))) # label(t12_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10114 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k2_group_1(A) = k2_group_5(A,B,B))))) # label(t23_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10115 (all A (v1_int_1(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> k2_group_5(B,C,k6_group_1(B,A,D)) = k1_group_1(B,k6_group_1(B,k4_xcmplx_0(A),k2_group_3(B,D,C)),k6_group_1(B,A,D)))))))))) # label(t38_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10116 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> m1_group_2(k9_group_5(A),A) & v1_group_3(k9_group_5(A),A) & v1_group_1(k9_group_5(A)))) # label(dt_k9_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10117 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_3(B,A) & m1_group_2(B,A) -> (all C (v1_group_3(C,A) & m1_group_2(C,A) -> r1_group_2(A,k8_group_5(A,B,C),k8_group_5(A,C,B)))))))) # label(t78_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10118 $T # label(t57_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10119 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (m1_group_2(B,k10_group_5(A)) -> m1_group_2(B,A) & v1_group_3(B,A)))))) # label(t91_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10120 $T # label(t67_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10121 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_group_1(A,k1_group_1(A,k1_group_1(A,k3_group_1(A,B),k3_group_1(A,C)),B),C) = k2_group_5(A,B,C))))))) # label(d2_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10122 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(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_group_1(A,k1_group_1(A,k2_group_3(A,k3_group_5(A,B,k3_group_1(A,C),D),C),k2_group_3(A,k3_group_5(A,C,k3_group_1(A,D),B),D)),k2_group_3(A,k3_group_5(A,D,k3_group_1(A,B),C),B)) = k2_group_1(A))))))))) # label(t50_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10123 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all 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))) -> a_3_0_group_5(A,B,C) = k4_group_5(A,B,C))))))) # label(d4_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10124 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(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_group_2(D,A) -> (r1_rlvect_1(D,B) & r1_rlvect_1(D,C) -> r1_rlvect_1(D,k2_group_3(A,B,C))))))))))) # label(t2_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10125 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) & v1_group_3(B,A) -> (all C (v1_group_1(C) & m1_group_2(C,A) & v1_group_3(C,A) -> (all D (m1_group_2(D,A) & v1_group_3(D,A) & v1_group_1(D) -> r1_group_2(A,k8_group_5(A,k8_group_4(A,B,C),D),k8_group_4(A,k8_group_5(A,B,D),k8_group_5(A,C,D))))))))))) # label(t79_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10126 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> r2_hidden(k2_group_1(A),k5_group_5(A,B,C)))))))) # label(t59_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10127 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k1_group_5(A,k6_finseq_1(u1_struct_0(A)),B) = k1_xboole_0)))) # label(t13_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10128 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(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)) -> k12_finseq_1(u1_struct_0(A),k2_group_3(A,B,C)) = k1_group_5(A,k12_finseq_1(u1_struct_0(A),B),C))))))) # label(t14_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10129 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> k5_group_5(A,B,C) = k4_group_5(A,k7_group_2(A,B),k7_group_2(A,C)))))))) # label(d5_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10130 (all A all B all C all D (l1_group_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> ((exists E exists F (m1_subset_1(F,u1_struct_0(B)) & r2_hidden(F,D) & r2_hidden(E,C) & A = k2_group_5(B,E,F) & m1_subset_1(E,u1_struct_0(B)))) <-> r2_hidden(A,a_3_0_group_5(B,C,D))))) # label(fraenkel_a_3_0_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10131 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all 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))) -> k5_group_4(A,k4_group_5(A,B,C)) = k7_group_5(A,B,C))))))) # label(d7_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10132 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(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_group_5(A,C,B) = k3_group_1(A,k2_group_5(A,B,C)))))))) # label(t25_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10133 (all A all B all C (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & m1_group_2(C,A) & m1_group_2(B,A) & v3_group_1(A) -> m1_subset_1(k5_group_5(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k5_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10134 (all A all B (v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (m1_group_2(C,B) -> (all D (m1_group_2(D,B) -> ((exists E (m1_subset_1(E,u1_struct_0(B)) & (exists F (m1_subset_1(F,u1_struct_0(B)) & k1_group_1(B,E,F) = A & r1_rlvect_1(D,F) & r1_rlvect_1(C,E))))) <-> r2_hidden(A,k7_group_4(B,C,D))))))))) # label(t4_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10135 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_group_1(A,k3_group_1(A,B),k2_group_3(A,B,C)) = k2_group_5(A,B,C) & k2_group_5(A,B,C) = k1_group_1(A,k2_group_3(A,k3_group_1(A,C),B),C))))))) # label(t21_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10136 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k1_xboole_0 = k4_group_5(A,k1_subset_1(u1_struct_0(A)),B) & k4_group_5(A,B,k1_subset_1(u1_struct_0(A))) = k1_xboole_0)))) # label(t53_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10137 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k6_group_5(A),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k6_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10138 (all A ((exists B exists C exists D (A = f4_s1_group_5(B,C,D) & p1_s1_group_5(B,C,D) & m1_subset_1(D,f3_s1_group_5) & m1_subset_1(C,f2_s1_group_5) & m1_subset_1(B,f1_s1_group_5))) <-> r2_hidden(A,a_0_0_group_5))) # label(fraenkel_a_0_0_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10139 $T # label(t10_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10140 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) & v1_group_3(B,A) & v1_group_1(B) -> (all C (v1_group_1(C) & v1_group_3(C,A) & m1_group_2(C,A) -> v1_group_3(k8_group_5(A,B,C),A) & m1_group_2(k8_group_5(A,B,C),A))))))) # label(t77_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10141 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> k5_group_5(A,k6_group_2(A),k6_group_2(A)) = k6_group_5(A))) # label(d6_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10142 $T # label(t51_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10143 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> r1_group_2(A,k9_group_5(A),k5_group_4(A,k6_group_5(A))))) # label(t82_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10144 $T # label(t42_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10145 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> (v1_finset_1(k14_group_2(A,B)) & np__2 = k17_group_2(A,B) -> m1_group_2(k9_group_5(A),B)))))) # label(t86_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10146 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (v1_group_3(C,A) & m1_group_2(C,A) & v1_group_1(C) -> m1_group_2(k8_group_5(A,B,C),C) & m1_group_2(k8_group_5(A,C,B),C))))))) # label(t76_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10147 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & m1_group_2(C,A) & m1_group_2(B,A) -> v1_group_1(k8_group_5(A,B,C)) & m1_group_2(k8_group_5(A,B,C),A))) # label(dt_k8_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10148 (all A all B (l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (m1_group_2(C,B) -> (all D (m1_group_2(D,B) -> ((exists E ((exists F (m2_finseq_1(F,k4_numbers) & k3_group_4(B,k4_group_4(B,F,E)) = A & r1_tarski(k2_relat_1(E),k5_group_5(B,C,D)) & k3_finseq_1(E) = k3_finseq_1(F))) & m2_finseq_1(E,u1_struct_0(B)))) <-> r1_rlvect_1(k8_group_5(B,C,D),A)))))))) # label(t73_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10149 $T # label(t11_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10150 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(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_group_3(A,k2_group_5(A,B,C),k3_group_1(A,k1_group_1(A,C,B))) = k2_group_5(A,k3_group_1(A,B),k3_group_1(A,C)) & k2_group_5(A,k3_group_1(A,B),k3_group_1(A,C)) = k2_group_3(A,k2_group_5(A,B,C),k3_group_1(A,k1_group_1(A,B,C))))))))) # label(t32_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10151 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(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_group_1(A,k1_group_1(A,k2_group_5(A,B,D),k2_group_5(A,B,C)),k3_group_5(A,B,C,D)) = k2_group_5(A,B,k1_group_1(A,C,D)))))))))) # label(t49_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10152 $T # label(t71_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10153 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) & v1_group_3(B,A) & v1_group_1(B) -> (all C (m1_group_2(C,A) & v1_group_3(C,A) & v1_group_1(C) -> (all D (v1_group_1(D) & v1_group_3(D,A) & m1_group_2(D,A) -> r1_group_2(A,k8_group_5(A,B,k8_group_4(A,C,D)),k8_group_4(A,k8_group_5(A,B,C),k8_group_5(A,B,D))))))))))) # label(t80_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10154 $T # label(t64_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10155 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> v7_group_1(k10_group_5(A)))) # label(t92_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10156 (all A all B (l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (m1_group_2(C,B) -> (all D (m1_group_2(D,B) -> (v4_group_1(B) & l1_group_1(B) & v7_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (r1_rlvect_1(k8_group_4(B,C,D),A) <-> (exists E (m1_subset_1(E,u1_struct_0(B)) & (exists F (m1_subset_1(F,u1_struct_0(B)) & k1_group_1(B,E,F) = A & r1_rlvect_1(D,F) & r1_rlvect_1(C,E))))))))))))) # label(t6_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10157 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(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)) -> k1_group_1(A,k2_group_5(A,B,D),k2_group_3(A,k2_group_5(A,B,C),D)) = k2_group_5(A,B,k1_group_1(A,C,D)))))))))) # label(t29_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10158 (all A all B all C (-v3_struct_0(A) & l1_group_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v4_group_1(A) & v3_group_1(A) -> m1_subset_1(k2_group_5(A,B,C),u1_struct_0(A)))) # label(dt_k2_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10159 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_group_5(A,k2_group_3(A,B,k3_group_1(A,C)),C) = k2_group_5(A,k3_group_1(A,C),B))))))) # label(t34_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10160 (all A all B (-v3_struct_0(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> ((exists E ((exists F (m2_finseq_1(F,k4_numbers) & k3_finseq_1(F) = k3_finseq_1(E) & r1_tarski(k2_relat_1(E),k4_group_5(B,C,D)) & k3_group_4(B,k4_group_4(B,F,E)) = A)) & m2_finseq_1(E,u1_struct_0(B)))) <-> r1_rlvect_1(k7_group_5(B,C,D),A)))))))) # label(t69_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10161 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (all D (m2_finseq_1(D,k4_numbers) -> k4_group_4(A,D,k1_group_5(A,C,B)) = k1_group_5(A,k4_group_4(A,D,C),B))))))))) # label(t18_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10162 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_group_5(A,B,k3_group_1(A,C)) = k2_group_3(A,k2_group_5(A,C,B),k3_group_1(A,C)))))))) # label(t31_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10163 (all A (v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (v3_group_1(A) & v4_group_1(A) & v7_group_1(A) & l1_group_1(A) & -v3_struct_0(A) <-> r1_group_2(A,k9_group_5(A),k5_group_2(A))))) # label(t85_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10164 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(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)) -> k7_rlvect_1(A,k2_group_3(A,B,D),k2_group_3(A,C,D)) = k1_group_5(A,k7_rlvect_1(A,B,C),D))))))))) # label(t15_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10165 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_group_1(A) = k3_group_5(A,B,B,C))))))) # label(t44_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10166 $T # label(t9_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10167 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (v1_group_3(C,A) & m1_group_2(C,A) & v1_group_1(C) -> r1_tarski(k5_group_5(A,B,C),k7_group_2(A,C)) & r1_tarski(k5_group_5(A,C,B),k7_group_2(A,C)))))))) # label(t61_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10168 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all 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))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(D,E) & r1_tarski(B,C) -> m1_group_2(k7_group_5(A,B,D),k7_group_5(A,C,E))))))))))))) # label(t70_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10169 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (v1_group_1(D) & v1_group_3(D,A) & m1_group_2(D,A) -> (r1_rlvect_1(D,B) -> r1_rlvect_1(D,k2_group_3(A,B,C))))))))))) # label(t3_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10170 (all A all B (v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & -v3_struct_0(B) -> (r1_rlvect_1(k9_group_5(B),A) <-> (exists C ((exists D (m2_finseq_1(D,k4_numbers) & k3_finseq_1(D) = k3_finseq_1(C) & A = k3_group_4(B,k4_group_4(B,D,C)) & r1_tarski(k2_relat_1(C),k6_group_5(B)))) & m2_finseq_1(C,u1_struct_0(B))))))) # label(t83_group_5) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10171 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(B)) & -v1_xboole_0(D) -> (all E (v1_funct_1(E) & m2_relset_1(E,k2_zfmisc_1(A,A),A) -> (all F (m2_relset_1(F,k2_zfmisc_1(B,B),B) & v1_funct_1(F) -> (all G (v1_funct_1(G) & m2_relset_1(G,k12_mcart_1(A,A,C,C),C) -> (k1_realset1(E,C) = G -> (all H (m2_relset_1(H,k12_mcart_1(B,B,D,D),D) & v1_funct_1(H) -> (H = k1_realset1(F,D) -> k2_nattra_1(A,B,C,D,G,H) = k1_realset1(k10_cat_2(A,B,E,F),k12_mcart_1(A,B,C,D)))))))))))))))))))) # label(t2_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10172 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> (all F (m1_subset_1(F,u1_cat_1(B)) -> -(k6_cat_1(B,D,E) != k1_xboole_0 & k6_cat_1(B,E,F) != k1_xboole_0 & -(all G (m1_cat_1(G,B,D,E) -> (all H (m1_cat_1(H,B,E,F) -> k3_nattra_1(B,A,C,D,F,k9_cat_1(B,D,E,F,G,H)) = k9_cat_1(A,k13_cat_1(B,A,C,D),k13_cat_1(B,A,C,E),k13_cat_1(B,A,C,F),k3_nattra_1(B,A,C,D,E,G),k3_nattra_1(B,A,C,E,F,H))))))))))))))))))) # label(t13_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10173 (all A all B all C (v2_cat_1(A) & v2_cat_1(B) & m2_cat_1(C,A,B) & l1_cat_1(B) & l1_cat_1(A) -> k7_nattra_1(A,B,C) = k4_nattra_1(A,B,C))) # label(redefinition_k7_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10174 (all A all B all C all D all E (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) & m1_nattra_1(E,A,B,C,D) -> m1_nattra_1(k9_nattra_1(A,B,C,D,E),A,B,D,C))) # label(dt_k9_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10175 $T # label(t24_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10176 (all A (l1_cat_1(A) & v2_nattra_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> k6_cat_1(A,B,B) = k1_tarski(k10_cat_1(A,B)))))) # label(t44_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10177 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m1_nattra_1(E,A,B,C,D) -> ((all F (m1_subset_1(F,u1_cat_1(A)) -> v5_cat_1(k5_nattra_1(A,B,C,D,E,F),B))) <-> v1_nattra_1(E,A,B,C,D)))))))))))) # label(d10_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10178 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r2_nattra_1(A,B,C,D) <-> r1_nattra_1(A,B,C,D) & (exists E ((all F (m1_subset_1(F,u1_cat_1(A)) -> (all G (m1_subset_1(G,u1_cat_1(A)) -> (k6_cat_1(A,F,G) != k1_xboole_0 -> (all H (m1_cat_1(H,A,F,G) -> k9_cat_1(B,k13_cat_1(A,B,C,F),k13_cat_1(A,B,C,G),k13_cat_1(A,B,D,G),k3_nattra_1(A,B,C,F,G,H),k5_nattra_1(A,B,C,D,E,G)) = k9_cat_1(B,k13_cat_1(A,B,C,F),k13_cat_1(A,B,D,F),k13_cat_1(A,B,D,G),k5_nattra_1(A,B,C,D,E,F),k3_nattra_1(A,B,D,F,G,H))))))))) & m1_nattra_1(E,A,B,C,D)))))))))))) # label(d7_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10179 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r3_nattra_1(A,B,C,D) -> (all E (m2_nattra_1(E,A,B,C,D) -> (v1_nattra_1(E,A,B,C,D) <-> m3_nattra_1(E,A,B,C,D))))))))))))) # label(d14_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10180 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r2_nattra_1(A,B,C,D) & (exists E (m2_nattra_1(E,A,B,C,D) & v1_nattra_1(E,A,B,C,D))) <-> r3_nattra_1(A,B,C,D)))))))))) # label(d11_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10181 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (-v1_xboole_0(C) -> ((all D -((all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,B) -> (all G (m2_nattra_1(G,A,B,E,F) -> -(k4_tarski(k4_tarski(E,F),G) = D & r2_nattra_1(A,B,E,F)))))))) & r2_hidden(D,C))) <-> m4_nattra_1(C,A,B)))))))) # label(d15_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10182 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (all D (m2_cat_1(D,B,A) -> (r1_nattra_1(B,A,C,D) -> (all E (m1_nattra_1(E,B,A,C,D) -> (all F (m1_nattra_1(F,B,A,C,D) -> ((all G (m1_subset_1(G,u1_cat_1(B)) -> k5_nattra_1(B,A,C,D,F,G) = k5_nattra_1(B,A,C,D,E,G))) -> F = E)))))))))))))) # label(t20_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10183 (all A (v2_cat_1(A) & l1_cat_1(A) -> ((all B (m1_subset_1(B,u2_cat_1(A)) -> (exists C (B = k10_cat_1(A,C) & m1_subset_1(C,u1_cat_1(A)))))) <-> v2_nattra_1(A)))) # label(d19_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10184 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r1_nattra_1(A,B,C,D) -> (all E (m1_nattra_1(E,A,B,C,D) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> k8_funct_2(u1_cat_1(A),u2_cat_1(B),E,F) = k5_nattra_1(A,B,C,D,E,F)))))))))))))) # label(d5_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10185 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,B) -> (all G (m2_nattra_1(G,A,B,C,D) -> (all H (m2_nattra_1(H,A,B,D,E) -> (r2_nattra_1(A,B,C,D) & r2_nattra_1(A,B,E,F) & r2_nattra_1(A,B,D,E) -> (all I (m2_nattra_1(I,A,B,E,F) -> k8_nattra_1(A,B,C,E,F,k8_nattra_1(A,B,C,D,E,G,H),I) = k8_nattra_1(A,B,C,D,F,G,k8_nattra_1(A,B,D,E,F,H,I))))))))))))))))))))) # label(t28_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10186 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (r1_nattra_1(A,B,D,E) & r1_nattra_1(A,B,C,D) -> (all F (m1_nattra_1(F,A,B,C,D) -> (all G (m1_nattra_1(G,A,B,D,E) -> (all H (m1_nattra_1(H,A,B,C,E) -> ((all I (m1_subset_1(I,u1_cat_1(A)) -> k5_nattra_1(A,B,C,E,H,I) = k9_cat_1(B,k13_cat_1(A,B,C,I),k13_cat_1(A,B,D,I),k13_cat_1(A,B,E,I),k5_nattra_1(A,B,C,D,F,I),k5_nattra_1(A,B,D,E,G,I)))) <-> H = k6_nattra_1(A,B,C,D,E,F,G))))))))))))))))))) # label(d6_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10187 (all A all B all C all D (v2_cat_1(A) & v2_cat_1(B) & m2_cat_1(D,A,B) & m2_cat_1(C,A,B) & l1_cat_1(B) & l1_cat_1(A) -> (all E (m1_nattra_1(E,A,B,C,D) -> m2_relset_1(E,u1_cat_1(A),u2_cat_1(B)) & v1_funct_2(E,u1_cat_1(A),u2_cat_1(B)) & v1_funct_1(E))))) # label(dt_m1_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10188 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (r2_nattra_1(A,B,C,D) & r2_nattra_1(A,B,D,E) -> (all F (m2_nattra_1(F,A,B,C,D) -> (all G (m2_nattra_1(G,A,B,D,E) -> k8_nattra_1(A,B,C,D,E,F,G) = k6_nattra_1(A,B,C,D,E,F,G)))))))))))))))) # label(d9_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10189 (all A all B all C all D all E all F (-v1_xboole_0(B) & -v1_xboole_0(C) & -v1_xboole_0(D) & v1_funct_1(E) & m1_relset_1(F,C,D) & v1_funct_2(F,C,D) & v1_funct_1(F) & m1_relset_1(E,A,B) & v1_funct_2(E,A,B) & -v1_xboole_0(A) -> (F = E <-> r4_nattra_1(A,B,C,D,E,F)))) # label(redefinition_r4_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.83	10190 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_nattra_1(F,A,B,C,D) -> (all G (m2_nattra_1(G,A,B,D,E) -> (all H (m1_subset_1(H,u2_cat_1(k12_nattra_1(A,B))) -> (all I (m1_subset_1(I,u2_cat_1(k12_nattra_1(A,B))) -> (I = k4_tarski(k4_tarski(D,E),G) & H = k4_tarski(k4_tarski(C,D),F) -> k4_tarski(k4_tarski(C,E),k8_nattra_1(A,B,C,D,E,F,G)) = k4_cat_1(k12_nattra_1(A,B),H,I)))))))))))))))))))) # label(t42_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10191 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r1_nattra_1(A,B,C,D) -> (all E (m1_nattra_1(E,A,B,C,D) -> (v1_nattra_1(E,A,B,C,D) -> (all F (m1_nattra_1(F,A,B,D,C) -> ((all G (m1_subset_1(G,u1_cat_1(A)) -> k5_nattra_1(A,B,D,C,F,G) = k11_cat_1(B,k13_cat_1(A,B,C,G),k13_cat_1(A,B,D,G),k5_nattra_1(A,B,C,D,E,G)))) <-> F = k9_nattra_1(A,B,C,D,E)))))))))))))))) # label(d12_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10192 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) & v1_cat_1(C) -> ((all D (m1_subset_1(D,u2_cat_1(C)) -> k3_cat_1(C,D) = k2_mcart_1(k1_mcart_1(D)) & k1_mcart_1(k1_mcart_1(D)) = k2_cat_1(C,D))) & (all D (m1_subset_1(D,u2_cat_1(C)) -> (all E (m1_subset_1(E,u2_cat_1(C)) -> -((all F (m2_cat_1(F,A,B) -> (all G (m2_cat_1(G,A,B) -> (all H (m2_cat_1(H,A,B) -> (all I (m2_nattra_1(I,A,B,F,G) -> (all J (m2_nattra_1(J,A,B,G,H) -> -(k4_tarski(k4_tarski(F,G),I) = D & k1_funct_1(u5_cat_1(C),k13_cat_2(C,C,E,D)) = k4_tarski(k4_tarski(F,H),k8_nattra_1(A,B,F,G,H,I,J)) & E = k4_tarski(k4_tarski(G,H),J)))))))))))) & r2_hidden(k13_cat_2(C,C,E,D),k1_relat_1(u5_cat_1(C)))))))) & (all D (m1_subset_1(D,u1_cat_1(C)) -> (all E (m2_cat_1(E,A,B) -> (D = E -> k10_cat_1(C,D) = k4_tarski(k4_tarski(E,E),k7_nattra_1(A,B,E))))))) & (all D (m1_subset_1(D,u2_cat_1(C)) -> (all E (m1_subset_1(E,u2_cat_1(C)) -> (k3_cat_1(C,D) = k2_cat_1(C,E) -> r2_hidden(k13_cat_2(C,C,E,D),k1_relat_1(u5_cat_1(C)))))))) & u2_cat_1(C) = k11_nattra_1(A,B) & k7_cat_2(A,B) = u1_cat_1(C) <-> C = k12_nattra_1(A,B)))))))) # label(d18_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10193 (all A all B all C all D all E all F all G (v2_cat_1(A) & v2_cat_1(B) & m2_cat_1(E,A,B) & m2_nattra_1(F,A,B,C,D) & m2_nattra_1(G,A,B,D,E) & m2_cat_1(D,A,B) & m2_cat_1(C,A,B) & l1_cat_1(B) & l1_cat_1(A) -> m2_nattra_1(k8_nattra_1(A,B,C,D,E,F,G),A,B,C,E))) # label(dt_k8_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10194 (all A all B (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) -> (all C (m4_nattra_1(C,A,B) -> -v1_xboole_0(C))))) # label(dt_m4_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10195 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> k10_cat_1(A,k13_cat_1(B,A,C,D)) = k5_nattra_1(B,A,C,C,k4_nattra_1(B,A,C),D))))))))) # label(t21_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10196 (exists A (v2_cat_1(A) & v2_nattra_1(A) & l1_cat_1(A))) # label(rc1_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10197 (all A all B (v2_cat_1(A) & l1_cat_1(A) & l1_cat_1(B) & v2_cat_1(B) -> l1_cat_1(k12_nattra_1(A,B)) & v2_cat_1(k12_nattra_1(A,B)) & v1_cat_1(k12_nattra_1(A,B)))) # label(dt_k12_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10198 (all A (l1_cat_1(A) & v2_cat_1(A) -> (exists B (v2_nattra_1(B) & v2_cat_1(B) & v1_cat_1(B) & m3_cat_2(B,A))))) # label(rc2_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10199 (all A (v2_cat_1(A) & l1_cat_1(A) -> (v2_nattra_1(A) <-> (all B (m1_subset_1(B,u1_cat_1(A)) -> (exists C (C = k6_cat_1(A,B,B) & k4_card_1(C) = np__1 & v1_finset_1(C))))) & (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (B != C -> k1_xboole_0 = k6_cat_1(A,B,C))))))))) # label(t45_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10200 (all A all B (v2_cat_1(B) & l1_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> (exists C m4_nattra_1(C,A,B)))) # label(existence_m4_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10201 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m3_cat_2(B,A) -> u3_cat_1(B) = k7_relat_1(u3_cat_1(A),u2_cat_1(B)) & k7_relat_1(u6_cat_1(A),u1_cat_1(B)) = u6_cat_1(B) & u5_cat_1(B) = k1_realset1(u5_cat_1(A),u2_cat_1(B)) & u4_cat_1(B) = k7_relat_1(u4_cat_1(A),u2_cat_1(B)))))) # label(t8_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10202 (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,k1_zfmisc_1(B)) & m1_relset_1(E,k12_mcart_1(A,A,C,C),C) & v1_funct_1(F) & m1_relset_1(F,k12_mcart_1(B,B,D,D),D) & v1_funct_1(E) & -v1_xboole_0(D) & m1_subset_1(C,k1_zfmisc_1(A)) -> m2_relset_1(k2_nattra_1(A,B,C,D,E,F),k12_mcart_1(k2_zfmisc_1(A,B),k2_zfmisc_1(A,B),k12_mcart_1(A,B,C,D),k12_mcart_1(A,B,C,D)),k12_mcart_1(A,B,C,D)) & v1_funct_1(k2_nattra_1(A,B,C,D,E,F)))) # label(dt_k2_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10203 (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 (m2_relset_1(E,C,A) & v1_funct_2(E,C,A) & v1_funct_1(E) -> (all F (m2_relset_1(F,D,B) & v1_funct_2(F,D,B) & v1_funct_1(F) -> (all G (m1_subset_1(G,k1_zfmisc_1(C)) & -v1_xboole_0(G) -> (all H (m1_subset_1(H,k1_zfmisc_1(D)) & -v1_xboole_0(H) -> k1_nattra_1(k2_zfmisc_1(C,D),k2_zfmisc_1(A,B),k9_cat_2(C,D,A,B,E,F),k12_mcart_1(C,D,G,H)) = k9_cat_2(G,H,A,B,k1_nattra_1(C,A,E,G),k1_nattra_1(D,B,F,H)))))))))))))))))) # label(t1_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10204 $T # label(t36_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10205 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r1_nattra_1(A,B,C,D) <-> (all E (m1_subset_1(E,u1_cat_1(A)) -> k6_cat_1(B,k13_cat_1(A,B,C,E),k13_cat_1(A,B,D,E)) != k1_xboole_0))))))))))) # label(d2_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10206 (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_funct_1(E) & m2_relset_1(E,A,B) & v1_funct_2(E,A,B) -> (all F (m2_relset_1(F,C,D) & v1_funct_2(F,C,D) & v1_funct_1(F) -> (C = A & (all G (m1_subset_1(G,A) -> k8_funct_2(A,B,E,G) = k1_funct_1(F,G))) <-> r4_nattra_1(A,B,C,D,E,F)))))))))))))) # label(d17_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10207 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (r3_nattra_1(A,B,D,E) & r3_nattra_1(A,B,C,D) -> r3_nattra_1(A,B,C,E)))))))))))) # label(t32_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10208 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_nattra_1(D,A,B,C,C) -> ((all E (m1_subset_1(E,u1_cat_1(A)) -> k10_cat_1(B,k13_cat_1(A,B,C,E)) = k8_funct_2(u1_cat_1(A),u2_cat_1(B),D,E))) <-> D = k4_nattra_1(A,B,C)))))))))) # label(d4_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10209 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r1_nattra_1(A,B,C,D) -> (all E (m1_nattra_1(E,A,B,C,D) -> E = k6_nattra_1(A,B,C,C,D,k4_nattra_1(A,B,C),E) & k6_nattra_1(A,B,C,D,D,E,k4_nattra_1(A,B,D)) = E))))))))))) # label(t22_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10210 $T # label(t43_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10211 (all A all B all C all D all E all F (l1_cat_1(B) & m2_cat_1(C,A,B) & m1_cat_1(F,A,D,E) & m1_subset_1(E,u1_cat_1(A)) & m1_subset_1(D,u1_cat_1(A)) & v2_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> m1_cat_1(k3_nattra_1(A,B,C,D,E,F),B,k13_cat_1(A,B,C,D),k13_cat_1(A,B,C,E)))) # label(dt_k3_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10212 (all A all B all C all D all E all F all G (l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) & m1_nattra_1(F,A,B,C,D) & m1_nattra_1(G,A,B,D,E) & m2_cat_1(E,A,B) & m2_cat_1(D,A,B) & v2_cat_1(A) -> m1_nattra_1(k6_nattra_1(A,B,C,D,E,F,G),A,B,C,E))) # label(dt_k6_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10213 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (k1_xboole_0 != k6_cat_1(A,B,C) -> (all D (m1_cat_1(D,A,B,C) -> k3_nattra_1(A,A,k15_cat_1(A),B,C,D) = D))))))))) # label(t16_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10214 (all A all B all C (v2_cat_1(A) & l1_cat_1(B) & m2_cat_1(C,A,B) & v2_cat_1(B) & l1_cat_1(A) -> m2_nattra_1(k7_nattra_1(A,B,C),A,B,C,C))) # label(dt_k7_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10215 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r2_nattra_1(A,B,C,D) -> (all E (m2_nattra_1(E,A,B,C,D) -> E = k8_nattra_1(A,B,C,C,D,k7_nattra_1(A,B,C),E) & E = k8_nattra_1(A,B,C,D,D,E,k7_nattra_1(A,B,D))))))))))))) # label(t26_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10216 (all A (l1_cat_1(A) & v2_nattra_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (all D (m1_nattra_1(D,B,A,C,C) -> r4_nattra_1(u1_cat_1(B),u2_cat_1(A),u1_cat_1(B),u2_cat_1(A),D,k7_nattra_1(B,A,C)))))))))) # label(t50_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10217 (all A all B all C all D all E (m2_cat_1(C,A,B) & m2_cat_1(D,A,B) & m2_nattra_1(E,A,B,C,D) & l1_cat_1(B) & v2_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> m2_nattra_1(k10_nattra_1(A,B,C,D,E),A,B,D,C))) # label(dt_k10_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10218 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> (k3_nattra_1(A,B,C,D,D,k10_cat_1(A,D)) = k10_cat_1(B,E) -> k13_cat_1(A,B,C,D) = E))))))))))) # label(t14_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10219 (all A all B all C all D (l1_cat_1(B) & m2_cat_1(D,A,B) & m2_cat_1(C,A,B) & v2_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> r3_nattra_1(A,B,C,C))) # label(reflexivity_r3_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10220 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> m3_nattra_1(k7_nattra_1(A,B,C),A,B,C,C))))))) # label(t33_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10221 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> k10_cat_1(A,k13_cat_1(B,A,C,D)) = k3_nattra_1(B,A,C,D,D,k10_cat_1(B,D)))))))))) # label(t15_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10222 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (k1_xboole_0 != k6_cat_1(A,D,E) -> (all F (m1_cat_1(F,A,D,E) -> k3_nattra_1(A,B,C,D,E,F) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,F)))))))))))))) # label(d1_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10223 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (v2_nattra_1(A) & v2_nattra_1(B) -> v2_nattra_1(k11_cat_2(A,B))))))) # label(t48_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10224 (all A all B (l1_cat_1(B) & v2_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> m4_nattra_1(k11_nattra_1(A,B),A,B))) # label(dt_k11_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10225 (all A all B all C all D all E all F (v2_cat_1(A) & m2_cat_1(C,A,B) & m1_nattra_1(E,A,B,C,D) & m1_subset_1(F,u1_cat_1(A)) & m2_cat_1(D,A,B) & l1_cat_1(B) & v2_cat_1(B) & l1_cat_1(A) -> m1_cat_1(k5_nattra_1(A,B,C,D,E,F),B,k13_cat_1(A,B,C,F),k13_cat_1(A,B,D,F)))) # label(dt_k5_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10226 (all A (l1_cat_1(A) & v2_cat_1(A) -> k13_nattra_1(k13_nattra_1(A)) = k13_nattra_1(A))) # label(t53_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10227 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_nattra_1(E,A,B,C,D) -> (r2_nattra_1(A,B,C,D) & v1_nattra_1(E,A,B,C,D) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> k11_cat_1(B,k13_cat_1(A,B,C,F),k13_cat_1(A,B,D,F),k5_nattra_1(A,B,C,D,E,F)) = k5_nattra_1(A,B,D,C,k10_nattra_1(A,B,C,D,E),F)))))))))))))) # label(t30_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10228 (all A all B k1_tarski(k4_tarski(k4_tarski(B,B),B)) = u5_cat_1(k8_cat_1(A,B))) # label(t6_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10229 (all A all B all C all D (v2_cat_1(A) & v2_cat_1(B) & m2_cat_1(D,A,B) & m2_cat_1(C,A,B) & l1_cat_1(B) & l1_cat_1(A) -> r2_nattra_1(A,B,C,C))) # label(reflexivity_r2_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10230 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (r3_nattra_1(A,B,D,E) & r3_nattra_1(A,B,C,D) -> (all F (m3_nattra_1(F,A,B,C,D) -> (all G (m3_nattra_1(G,A,B,D,E) -> m3_nattra_1(k8_nattra_1(A,B,C,D,E,F,G),A,B,C,E)))))))))))))))) # label(t34_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10231 (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(C,k1_zfmisc_1(A)) & -v1_xboole_0(D) & m1_relset_1(E,k12_mcart_1(A,A,C,C),C) & v1_funct_1(F) & m1_relset_1(F,k12_mcart_1(B,B,D,D),D) & v1_funct_1(E) & m1_subset_1(D,k1_zfmisc_1(B)) -> k2_nattra_1(A,B,C,D,E,F) = k3_funct_4(E,F))) # label(redefinition_k2_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10232 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_cat_1(C,A,B,B) -> r2_hidden(C,k6_cat_1(A,B,B)))))))) # label(t3_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10233 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (-r1_xboole_0(k6_cat_1(A,B,C),k6_cat_1(A,D,E)) -> B = D & C = E))))))))))) # label(t17_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10234 (all A all B all C all D (v2_cat_1(A) & l1_cat_1(A) & l1_cat_1(B) & m2_cat_1(D,A,B) & m2_cat_1(C,A,B) & v2_cat_1(B) -> (exists E m2_nattra_1(E,A,B,C,D)))) # label(existence_m2_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10235 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r3_nattra_1(A,B,C,D) -> r3_nattra_1(A,B,D,C)))))))))) # label(t31_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10236 (all A all B all C all D (v2_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) & l1_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> (all E (m2_nattra_1(E,A,B,C,D) -> m1_nattra_1(E,A,B,C,D))))) # label(dt_m2_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10237 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> r2_hidden(k13_cat_2(k11_cat_2(A,A),A,k13_cat_2(A,A,k10_cat_1(A,B),k10_cat_1(A,B)),k10_cat_1(A,B)),u5_cat_1(A)))))) # label(t5_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10238 (all A all B all C all D (v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) & l1_cat_1(A) & v2_cat_1(A) -> (exists E m3_nattra_1(E,A,B,C,D)))) # label(existence_m3_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10239 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r2_nattra_1(A,B,C,D) -> (all E (m1_nattra_1(E,A,B,C,D) -> ((all F (m1_subset_1(F,u1_cat_1(A)) -> (all G (m1_subset_1(G,u1_cat_1(A)) -> (k6_cat_1(A,F,G) != k1_xboole_0 -> (all H (m1_cat_1(H,A,F,G) -> k9_cat_1(B,k13_cat_1(A,B,C,F),k13_cat_1(A,B,C,G),k13_cat_1(A,B,D,G),k3_nattra_1(A,B,C,F,G,H),k5_nattra_1(A,B,C,D,E,G)) = k9_cat_1(B,k13_cat_1(A,B,C,F),k13_cat_1(A,B,D,F),k13_cat_1(A,B,D,G),k5_nattra_1(A,B,C,D,E,F),k3_nattra_1(A,B,D,F,G,H))))))))) <-> m2_nattra_1(E,A,B,C,D))))))))))))) # label(d8_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10240 (all A all B (l1_cat_1(B) & v2_cat_1(B) -> (r2_hidden(A,a_1_0_nattra_1(B)) <-> (exists C (A = k10_cat_1(B,C) & m1_subset_1(C,u1_cat_1(B))))))) # label(fraenkel_a_1_0_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10241 (all A all B all C all D (l1_cat_1(A) & l1_cat_1(B) & m2_cat_1(D,A,B) & m2_cat_1(C,A,B) & v2_cat_1(B) & v2_cat_1(A) -> (all E (m3_nattra_1(E,A,B,C,D) -> m2_nattra_1(E,A,B,C,D))))) # label(dt_m3_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10242 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,B) -> (all G (m2_nattra_1(G,A,B,E,F) -> (all H (m2_nattra_1(H,A,B,C,D) -> (all I (m1_subset_1(I,u2_cat_1(k12_nattra_1(A,B))) -> (all J (m1_subset_1(J,u2_cat_1(k12_nattra_1(A,B))) -> (J = k4_tarski(k4_tarski(C,D),H) & k4_tarski(k4_tarski(E,F),G) = I -> (r2_hidden(k13_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,B),J,I),k1_relat_1(u5_cat_1(k12_nattra_1(A,B)))) <-> r4_nattra_1(u2_cat_1(A),u2_cat_1(B),u2_cat_1(A),u2_cat_1(B),F,C))))))))))))))))))))))) # label(t41_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10243 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_nattra_1(E,A,B,C,D) -> (r2_nattra_1(A,B,C,D) <-> r2_hidden(k4_tarski(k4_tarski(C,D),E),k11_nattra_1(A,B))))))))))))) # label(t35_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10244 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (r2_nattra_1(A,B,D,E) & r2_nattra_1(A,B,C,D) -> r2_nattra_1(A,B,C,E)))))))))))) # label(t25_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10245 $T # label(t37_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10246 (all A (v1_cat_1(A) & l1_cat_1(A) & v2_cat_1(A) -> (v2_nattra_1(A) -> A = k13_nattra_1(A)))) # label(t52_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10247 (all A all B all C all D (m1_relset_1(C,A,B) & m1_subset_1(D,k1_zfmisc_1(A)) & v1_funct_2(C,A,B) & v1_funct_1(C) & -v1_xboole_0(B) -> k7_relat_1(C,D) = k1_nattra_1(A,B,C,D))) # label(redefinition_k1_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10248 (all A all B k8_cat_1(A,B) = k13_nattra_1(k8_cat_1(A,B))) # label(t54_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10249 (all A all B all C (v2_cat_1(A) & l1_cat_1(B) & m2_cat_1(C,A,B) & v2_cat_1(B) & l1_cat_1(A) -> m1_nattra_1(k4_nattra_1(A,B,C),A,B,C,C))) # label(dt_k4_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10250 (all A all B all C all D (v2_cat_1(A) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) & l1_cat_1(B) & v2_cat_1(B) & l1_cat_1(A) -> r1_nattra_1(A,B,C,C))) # label(reflexivity_r1_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10251 (all A (v2_nattra_1(A) & l1_cat_1(A) & v2_cat_1(A) -> (all B (m3_cat_2(B,A) -> v2_nattra_1(B))))) # label(t47_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10252 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> m3_cat_2(k8_cat_1(B,k10_cat_1(A,B)),A))))) # label(t7_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10253 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,C,A) -> (all E (m2_cat_1(E,A,B) -> (all F (m1_subset_1(F,u1_cat_1(C)) -> (all G (m1_subset_1(G,u1_cat_1(C)) -> (k6_cat_1(C,F,G) != k1_xboole_0 -> (all H (m1_cat_1(H,C,F,G) -> k3_nattra_1(C,B,k14_cat_1(C,A,B,D,E),F,G,H) = k3_nattra_1(A,B,E,k13_cat_1(C,A,D,F),k13_cat_1(C,A,D,G),k3_nattra_1(C,A,D,F,G,H))))))))))))))))))) # label(t11_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10254 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_nattra_1(E,A,B,C,D) -> (all F (m1_subset_1(F,u2_cat_1(k12_nattra_1(A,B))) -> (F = k4_tarski(k4_tarski(C,D),E) -> k3_cat_1(k12_nattra_1(A,B),F) = D & k2_cat_1(k12_nattra_1(A,B),F) = C))))))))))))) # label(t39_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10255 (all A (v2_cat_1(A) & l1_cat_1(A) -> m3_cat_2(k13_nattra_1(A),A) & v2_nattra_1(k13_nattra_1(A)) & v1_cat_1(k13_nattra_1(A)))) # label(dt_k13_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10256 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,B) -> (r1_nattra_1(A,B,D,E) & r1_nattra_1(A,B,E,F) & r1_nattra_1(A,B,C,D) -> (all G (m1_nattra_1(G,A,B,C,D) -> (all H (m1_nattra_1(H,A,B,D,E) -> (all I (m1_nattra_1(I,A,B,E,F) -> k6_nattra_1(A,B,C,E,F,k6_nattra_1(A,B,C,D,E,G,H),I) = k6_nattra_1(A,B,C,D,F,G,k6_nattra_1(A,B,D,E,F,H,I))))))))))))))))))))) # label(t23_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10257 (all A all B v2_nattra_1(k8_cat_1(A,B))) # label(t46_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10258 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_nattra_1(E,A,B,C,D) -> (v1_nattra_1(E,A,B,C,D) & r2_nattra_1(A,B,C,D) -> k10_nattra_1(A,B,C,D,E) = k9_nattra_1(A,B,C,D,E)))))))))))) # label(d13_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10259 (all A all B all C all D (v1_funct_1(C) & v1_funct_2(C,A,B) & m1_relset_1(C,A,B) & m1_subset_1(D,k1_zfmisc_1(A)) & -v1_xboole_0(B) -> m2_relset_1(k1_nattra_1(A,B,C,D),D,B) & v1_funct_2(k1_nattra_1(A,B,C,D),D,B) & v1_funct_1(k1_nattra_1(A,B,C,D)))) # label(dt_k1_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10260 (all A all B all C all D all E all F (-v1_xboole_0(A) & -v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,A,B) & m1_relset_1(E,A,B) & m1_relset_1(F,C,D) & v1_funct_2(F,C,D) & v1_funct_1(F) & -v1_xboole_0(C) & -v1_xboole_0(B) -> r4_nattra_1(A,B,C,D,E,E))) # label(reflexivity_r4_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10261 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (v2_nattra_1(A) -> v2_nattra_1(k12_nattra_1(B,A))))))) # label(t51_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10262 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> k11_cat_2(k13_nattra_1(A),k13_nattra_1(B)) = k13_nattra_1(k11_cat_2(A,B)))))) # label(t55_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10263 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m4_nattra_1(C,A,B) -> (C = k11_nattra_1(A,B) <-> (all D (r2_hidden(D,C) <-> (exists E ((exists F ((exists G (m2_nattra_1(G,A,B,E,F) & k4_tarski(k4_tarski(E,F),G) = D & r2_nattra_1(A,B,E,F))) & m2_cat_1(F,A,B))) & m2_cat_1(E,A,B)))))))))))) # label(d16_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10264 (all A all B all C (m1_subset_1(C,u2_cat_1(k8_cat_1(A,B))) -> (all D (m1_subset_1(D,u2_cat_1(k8_cat_1(A,B))) -> D = C)))) # label(t4_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10265 (all A (v2_cat_1(A) & l1_cat_1(A) & v2_nattra_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (all D (m2_cat_1(D,B,A) -> (r1_nattra_1(B,A,C,D) -> r4_nattra_1(u2_cat_1(B),u2_cat_1(A),u2_cat_1(B),u2_cat_1(A),C,D)))))))))) # label(t49_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10266 (all A all B all C all D (l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) & v2_cat_1(A) -> (exists E m1_nattra_1(E,A,B,C,D)))) # label(existence_m1_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10267 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (r1_nattra_1(A,B,D,E) & r1_nattra_1(A,B,C,D) -> r1_nattra_1(A,B,C,E)))))))))))) # label(t19_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.85	10268 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (all D (m2_cat_1(D,B,A) -> (all E (m2_cat_1(E,B,A) -> (r2_nattra_1(B,A,C,D) & r2_nattra_1(B,A,D,E) -> (all F (m2_nattra_1(F,B,A,C,D) -> (all G (m2_nattra_1(G,B,A,D,E) -> (all H (m1_subset_1(H,u1_cat_1(B)) -> k5_nattra_1(B,A,C,E,k8_nattra_1(B,A,C,D,E,F,G),H) = k9_cat_1(A,k13_cat_1(B,A,C,H),k13_cat_1(B,A,D,H),k13_cat_1(B,A,E,H),k5_nattra_1(B,A,C,D,F,H),k5_nattra_1(B,A,D,E,G,H))))))))))))))))))) # label(t27_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10269 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> ((all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> (k6_cat_1(A,E,F) != k1_xboole_0 -> (all G (m1_cat_1(G,A,E,F) -> k3_nattra_1(A,B,D,E,F,G) = k3_nattra_1(A,B,C,E,F,G)))))))) -> D = C))))))))) # label(t12_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10270 $T # label(t18_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10271 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(k12_nattra_1(A,B))) -> (all D (m1_subset_1(D,u1_cat_1(k12_nattra_1(A,B))) -> (all E (m1_cat_1(E,k12_nattra_1(A,B),C,D) -> -((all F (m2_cat_1(F,A,B) -> (all G (m2_cat_1(G,A,B) -> (all H (m2_nattra_1(H,A,B,F,G) -> -(F = C & D = G & k4_tarski(k4_tarski(F,G),H) = E))))))) & k1_xboole_0 != k6_cat_1(k12_nattra_1(A,B),C,D)))))))))))) # label(t40_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10272 (all A all B all C all D all E all F (-v1_xboole_0(A) & -v1_xboole_0(C) & -v1_xboole_0(D) & v1_funct_2(E,A,B) & m1_relset_1(E,A,B) & v1_funct_1(F) & m1_relset_1(F,C,D) & v1_funct_2(F,C,D) & v1_funct_1(E) & -v1_xboole_0(B) -> (r4_nattra_1(A,B,C,D,E,F) -> r4_nattra_1(A,B,C,D,F,E)))) # label(symmetry_r4_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10273 $T # label(t29_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10274 $T # label(t38_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10275 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m3_cat_2(B,A) & v2_nattra_1(B) & v1_cat_1(B) -> (u2_cat_1(B) = a_1_0_nattra_1(A) & u1_cat_1(B) = u1_cat_1(A) <-> B = k13_nattra_1(A)))))) # label(d20_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10276 (all A (l1_cat_1(A) & v2_cat_1(A) & v1_cat_1(A) -> (all B (m3_cat_2(B,A) & v1_cat_1(B) -> (u2_cat_1(B) = u2_cat_1(A) & u1_cat_1(A) = u1_cat_1(B) -> A = B))))) # label(t10_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10277 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) & -v1_xboole_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u2_cat_1(A))) & -v1_xboole_0(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,C,B) & v1_funct_2(D,C,B) -> (all E (v1_funct_2(E,C,B) & m2_relset_1(E,C,B) & v1_funct_1(E) -> (k1_nattra_1(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),C) = D & E = k1_nattra_1(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),C) -> (all F (v1_funct_1(F) & m2_relset_1(F,k2_zfmisc_1(C,C),C) -> (F = k1_realset1(u5_cat_1(A),C) -> (all G (m2_relset_1(G,B,C) & v1_funct_2(G,B,C) & v1_funct_1(G) -> (G = k1_nattra_1(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B) -> m3_cat_2(g1_cat_1(B,C,D,E,F,G),A)))))))))))))))))) # label(t9_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10278 (all A (m1_subset_1(A,f1_s1_nattra_1) -> -r1_xboole_0(f2_s1_nattra_1,f3_s1_nattra_1(A)))) -> (exists A ((all B (m1_subset_1(B,f1_s1_nattra_1) -> r2_hidden(k8_funct_2(f1_s1_nattra_1,f2_s1_nattra_1,A,B),f3_s1_nattra_1(B)))) & m2_relset_1(A,f1_s1_nattra_1,f2_s1_nattra_1) & v1_funct_2(A,f1_s1_nattra_1,f2_s1_nattra_1) & v1_funct_1(A))) # label(s1_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10279 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r1_nattra_1(A,B,C,D) -> (all E (v1_funct_1(E) & v1_funct_2(E,u1_cat_1(A),u2_cat_1(B)) & m2_relset_1(E,u1_cat_1(A),u2_cat_1(B)) -> (m1_nattra_1(E,A,B,C,D) <-> (all F (m1_subset_1(F,u1_cat_1(A)) -> m1_cat_1(k8_funct_2(u1_cat_1(A),u2_cat_1(B),E,F),B,k13_cat_1(A,B,C,F),k13_cat_1(A,B,D,F)))))))))))))))) # label(d3_nattra_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10280 (all A (l1_metric_1(A) -> m1_subset_1(k4_pcomps_1(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) # label(dt_k4_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10281 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> ((exists B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers) & r1_pcomps_1(u1_struct_0(A),B) & u1_pre_topc(A) = k4_pcomps_1(k6_pcomps_1(u1_struct_0(A),B)) & m2_relset_1(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers))) <-> v3_pcomps_1(A)))) # label(d9_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10282 (exists A (l1_pre_topc(A) & v2_pre_topc(A) & v3_compts_1(A) & v1_pre_topc(A) & -v3_struct_0(A))) # label(rc2_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10283 (all A v2_compts_1(k2_pcomps_1(k1_tarski(A)))) # label(t9_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10284 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (r1_pre_topc(A,B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & r2_hidden(C,D) & r2_hidden(D,B)))))))))) # label(t5_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10285 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (r1_tarski(B,C) -> r1_tarski(k3_pcomps_1(A,B),k3_pcomps_1(A,C))))))))) # label(t17_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10286 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_finset_1(B) -> k5_setfam_1(u1_struct_0(A),k3_pcomps_1(A,B)) = k6_pre_topc(A,k5_setfam_1(u1_struct_0(A),B))))))) # label(t19_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10287 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_finset_1(B) -> v1_pcomps_1(B,A)))))) # label(t13_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10288 (all A (v9_metric_1(A) & l1_metric_1(A) & v8_metric_1(A) & v7_metric_1(A) & v6_metric_1(A) & -v3_struct_0(A) -> v3_compts_1(k5_pcomps_1(A)))) # label(t38_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10289 (all A u1_struct_0(k2_pcomps_1(A)) = A) # label(t8_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10290 (all A (l1_metric_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (exists C (r1_tarski(k9_metric_1(A,B,C),u1_struct_0(A)) & -r1_xreal_0(C,np__0) & m1_subset_1(C,k1_numbers))))))) # label(t29_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10291 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (v2_pcomps_1(A) & v3_compts_1(A) -> v5_compts_1(A)))) # label(t28_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10292 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(a_3_1_pcomps_1(A,B,C),B))))))) # label(t11_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10293 (all A (l1_metric_1(A) -> v2_pre_topc(k5_pcomps_1(A)) & v1_pre_topc(k5_pcomps_1(A)))) # label(fc3_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10294 (all A (l1_metric_1(A) -> v2_pre_topc(g1_pre_topc(u1_struct_0(A),k4_pcomps_1(A))) & l1_pre_topc(g1_pre_topc(u1_struct_0(A),k4_pcomps_1(A))))) # label(t37_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10295 (all A all B all C all D (-v3_struct_0(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & l1_pre_topc(B) & v2_pre_topc(B) -> ((exists E (A = E & r2_hidden(E,C) & -r1_xboole_0(E,D) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))))) <-> r2_hidden(A,a_3_1_pcomps_1(B,C,D))))) # label(fraenkel_a_3_1_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10296 (exists A (v2_pre_topc(A) & v3_pcomps_1(A) & v1_pre_topc(A) & -v3_struct_0(A) & l1_pre_topc(A))) # label(rc3_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10297 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (v2_compts_1(A) -> v2_pcomps_1(A)))) # label(t25_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10298 (all A (l1_metric_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (v1_xreal_0(D) -> -((all E (m1_subset_1(E,k1_numbers) -> -(r1_tarski(k9_metric_1(A,B,E),k9_metric_1(A,C,D)) & -r1_xreal_0(E,np__0)))) & r2_hidden(B,k9_metric_1(A,C,D)) & v9_metric_1(A)))))))))) # label(t30_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10299 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> ((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> ((exists E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & k6_pre_topc(A,E) = D & r2_hidden(E,B))) <-> r2_hidden(D,C)))) <-> C = k3_pcomps_1(A,B)))))))) # label(d3_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10300 (all A (l1_metric_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (B = k4_pcomps_1(A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> -((all E (m1_subset_1(E,k1_numbers) -> -(r1_tarski(k9_metric_1(A,D,E),C) & -r1_xreal_0(E,np__0)))) & r2_hidden(D,C)))) <-> r2_hidden(C,B))))))))) # label(d5_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10301 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(k1_xboole_0 != B & k1_xboole_0 = k6_pre_topc(A,B)) & -(k6_pre_topc(A,B) != k1_xboole_0 & B = k1_xboole_0))))) # label(t2_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10302 (all A (l1_metric_1(A) -> (all 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))) -> (r2_hidden(B,k4_pcomps_1(A)) & r2_hidden(C,k4_pcomps_1(A)) -> r2_hidden(k5_subset_1(u1_struct_0(A),B,C),k4_pcomps_1(A))))))))) # label(t35_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10303 (all A (l1_metric_1(A) -> (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_subset_1(C,k1_numbers) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (all F (m1_subset_1(F,u1_struct_0(A)) -> -(v9_metric_1(A) & (all G (m1_subset_1(G,k1_numbers) -> -(r1_tarski(k9_metric_1(A,D,G),k9_metric_1(A,E,B)) & r1_tarski(k9_metric_1(A,D,G),k9_metric_1(A,F,C))))) & r2_hidden(D,k5_subset_1(u1_struct_0(A),k9_metric_1(A,E,B),k9_metric_1(A,F,C)))))))))))))))) # label(t31_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10304 (all A (m1_subset_1(A,k1_zfmisc_1(u1_struct_0(f1_s1_pcomps_1))) -> (r2_hidden(A,f2_s1_pcomps_1) -> r2_hidden(f4_s1_pcomps_1(A),f3_s1_pcomps_1)))) -> (exists A (v1_funct_2(A,f2_s1_pcomps_1,f3_s1_pcomps_1) & (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(f1_s1_pcomps_1))) -> (r2_hidden(B,f2_s1_pcomps_1) -> k1_funct_1(A,B) = f4_s1_pcomps_1(B)))) & m2_relset_1(A,f2_s1_pcomps_1,f3_s1_pcomps_1) & v1_funct_1(A))) # label(s1_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10305 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (C = k1_tarski(B) -> k3_pcomps_1(A,C) = k1_tarski(k6_pre_topc(A,B))))))))) # label(t16_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10306 (all A (l1_metric_1(A) -> l1_pre_topc(k5_pcomps_1(A)))) # label(dt_k5_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10307 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_pcomps_1(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (exists D (r2_hidden(C,D) & v1_finset_1(a_3_0_pcomps_1(A,B,D)) & v3_pre_topc(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))))))))))) # label(d2_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10308 (all A m1_subset_1(k1_pcomps_1(A),k1_zfmisc_1(k1_zfmisc_1(A)))) # label(dt_k1_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10309 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v3_compts_1(A) -> v4_pre_topc(k1_struct_0(A,B),A)))))) # label(t10_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10310 (all A k1_zfmisc_1(A) = k1_pcomps_1(A)) # label(redefinition_k1_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10311 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all 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))) -> -(v2_pcomps_1(A) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> -(r1_tarski(C,E) & r1_xboole_0(D,E) & r1_tarski(B,D) & v3_pre_topc(E,A) & v3_pre_topc(D,A)))))) & (all D (m1_subset_1(D,u1_struct_0(A)) -> -((all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (all F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(E,A) & r1_tarski(B,E) & r1_xboole_0(E,F) & r2_hidden(D,F) & v3_pre_topc(F,A)))))) & r2_hidden(D,C)))) & r1_xboole_0(B,C) & v4_pre_topc(C,A) & v4_pre_topc(B,A)))))))) # label(t26_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10312 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> k3_pcomps_1(A,k4_subset_1(k1_zfmisc_1(u1_struct_0(A)),B,C)) = k4_subset_1(k1_zfmisc_1(u1_struct_0(A)),k3_pcomps_1(A,B),k3_pcomps_1(A,C)))))))) # label(t18_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10313 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_pcomps_1(B,A) -> k5_setfam_1(u1_struct_0(A),k3_pcomps_1(A,B)) = k6_pre_topc(A,k5_setfam_1(u1_struct_0(A),B))))))) # label(t23_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10314 (all A (l1_metric_1(A) -> k5_pcomps_1(A) = g1_pre_topc(u1_struct_0(A),k4_pcomps_1(A)))) # label(d6_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10315 (all A g1_pre_topc(A,k1_pcomps_1(A)) = k2_pcomps_1(A)) # label(d1_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10316 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v2_tops_2(B,A) & v1_pcomps_1(B,A) -> v4_pre_topc(k5_setfam_1(u1_struct_0(A),B),A)))))) # label(t24_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10317 (all A (-v1_xboole_0(A) -> -v3_struct_0(k2_pcomps_1(A)) & v1_pre_topc(k2_pcomps_1(A)) & v2_pre_topc(k2_pcomps_1(A)))) # label(fc2_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10318 (all A all B (l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> m1_subset_1(k3_pcomps_1(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) # label(dt_k3_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10319 $T # label(t3_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10320 $T # label(t4_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10321 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (B = k1_xboole_0 -> k3_pcomps_1(A,B) = k1_xboole_0))))) # label(t15_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10322 (all A (l1_metric_1(A) -> r2_hidden(u1_struct_0(A),k4_pcomps_1(A)))) # label(t34_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10323 (all A (l1_pre_topc(A) -> (v2_pcomps_1(A) <-> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(r1_pre_topc(A,B) & v1_tops_2(B,A) & (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(v1_tops_2(C,A) & r1_setfam_1(C,B) & v1_pcomps_1(C,A) & r1_pre_topc(A,C)))))))))) # label(d4_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10324 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> r1_tarski(k5_setfam_1(u1_struct_0(A),B),k5_setfam_1(u1_struct_0(A),k3_pcomps_1(A,B))))))) # label(t22_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10325 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> r1_setfam_1(B,k3_pcomps_1(A,B)))))) # label(t20_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10326 (all A (l1_metric_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v1_xreal_0(C) -> (v9_metric_1(A) -> r2_hidden(k9_metric_1(A,B,C),k4_pcomps_1(A))))))))) # label(t33_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10327 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_pcomps_1(B,A) -> v1_pcomps_1(k3_pcomps_1(A,B),A)))))) # label(t21_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10328 (all A all B all C all D (l1_pre_topc(B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) -> ((exists E (E = A & r2_hidden(E,C) & -r1_xboole_0(E,D) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))))) <-> r2_hidden(A,a_3_0_pcomps_1(B,C,D))))) # label(fraenkel_a_3_0_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10329 (all A all B (m2_relset_1(B,k2_zfmisc_1(A,A),k1_numbers) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & v1_funct_1(B) -> (r1_pcomps_1(A,B) <-> v6_metric_1(g1_metric_1(A,B)) & v8_metric_1(g1_metric_1(A,B)) & v9_metric_1(g1_metric_1(A,B)) & l1_metric_1(g1_metric_1(A,B)) & v7_metric_1(g1_metric_1(A,B))))) # label(t39_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10330 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (r1_tarski(B,C) & v1_pcomps_1(C,A) -> v1_pcomps_1(B,A)))))))) # label(t12_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10331 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> v2_tops_2(k3_pcomps_1(A,B),A))))) # label(t14_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10332 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (v3_compts_1(A) & v2_pcomps_1(A) -> v4_compts_1(A)))) # label(t27_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10333 (all A all B (-v1_xboole_0(A) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_relset_1(B,k2_zfmisc_1(A,A),k1_numbers) & v1_funct_1(B) -> v6_metric_1(k6_pcomps_1(A,B)) & v9_metric_1(k6_pcomps_1(A,B)) & l1_metric_1(k6_pcomps_1(A,B)) & v8_metric_1(k6_pcomps_1(A,B)) & v7_metric_1(k6_pcomps_1(A,B)) & v1_metric_1(k6_pcomps_1(A,B)) & -v3_struct_0(k6_pcomps_1(A,B)))) # label(dt_k6_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10334 $T # label(t6_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10335 (exists A (v2_pcomps_1(A) & v2_pre_topc(A) & -v3_struct_0(A) & l1_pre_topc(A))) # label(rc1_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10336 (all A (-v1_xboole_0(A) -> (all B (m2_relset_1(B,k2_zfmisc_1(A,A),k1_numbers) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & v1_funct_1(B) -> (r1_pcomps_1(A,B) -> k6_pcomps_1(A,B) = g1_metric_1(A,B)))))) # label(d8_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10337 (all A all B (v1_funct_1(B) & m2_relset_1(B,k2_zfmisc_1(A,A),k1_numbers) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) -> ((all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (k1_metric_1(A,A,B,C,D) = np__0 -> D = C) & r1_xreal_0(k1_metric_1(A,A,B,C,E),k3_real_1(k1_metric_1(A,A,B,C,D),k1_metric_1(A,A,B,D,E))) & k1_metric_1(A,A,B,C,D) = k1_metric_1(A,A,B,D,C) & (D = C -> k1_metric_1(A,A,B,C,D) = np__0))))))) <-> r1_pcomps_1(A,B)))) # label(d7_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10338 (all A (l1_metric_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (r1_tarski(B,k4_pcomps_1(A)) -> r2_hidden(k5_setfam_1(u1_struct_0(A),B),k4_pcomps_1(A))))))) # label(t36_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10339 (all A l1_pre_topc(k2_pcomps_1(A))) # label(dt_k2_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10340 $T # label(t32_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10341 (all A (l1_metric_1(A) & -v3_struct_0(A) -> v2_pre_topc(k5_pcomps_1(A)) & v1_pre_topc(k5_pcomps_1(A)) & -v3_struct_0(k5_pcomps_1(A)))) # label(fc4_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10342 (all A u1_pre_topc(k2_pcomps_1(A)) = k1_pcomps_1(A)) # label(t7_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10343 (all A (l1_metric_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v1_xreal_0(C) -> (all D (v1_xreal_0(D) -> (r1_xreal_0(C,D) -> r1_tarski(k9_metric_1(A,B,C),k9_metric_1(A,B,D))))))))))) # label(t1_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10344 (all A (v2_pre_topc(k2_pcomps_1(A)) & v1_pre_topc(k2_pcomps_1(A)))) # label(fc1_pcomps_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10345 (all A (l1_cat_1(A) & v2_cat_1(A) -> a_1_3_ens_1(A) = k17_ens_1(A))) # label(d19_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10346 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> r2_hidden(k6_cat_1(A,B,C),k17_ens_1(A)))))))) # label(t41_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10347 (all A (-v1_xboole_0(A) -> (all B (m2_relset_1(B,k2_ens_1(A),A) & v1_funct_2(B,k2_ens_1(A),A) & v1_funct_1(B) -> ((all C (m1_subset_1(C,k2_ens_1(A)) -> k3_ens_1(A,C) = k8_funct_2(k2_ens_1(A),A,B,C))) <-> B = k8_ens_1(A)))))) # label(d10_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10348 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k2_ens_1(A)) -> (all C (m1_subset_1(C,k2_ens_1(A)) -> (k3_ens_1(A,B) = k4_ens_1(A,C) -> k2_mcart_1(k6_ens_1(A,C,B)) = k5_relat_1(k2_mcart_1(C),k2_mcart_1(B)) & k3_ens_1(A,k6_ens_1(A,C,B)) = k3_ens_1(A,C) & k4_ens_1(A,B) = k4_ens_1(A,k6_ens_1(A,C,B))))))))) # label(t12_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10349 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> k6_partfun1(k6_cat_1(A,B,C)) = k22_ens_1(A,k10_cat_1(A,B),k10_cat_1(A,C)))))))) # label(t54_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10350 (all A all B (m1_subset_1(B,k2_ens_1(A)) & -v1_xboole_0(A) -> m1_subset_1(k15_ens_1(A,B),u2_cat_1(k12_ens_1(A))))) # label(dt_k15_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10351 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u2_cat_1(k12_ens_1(A))) -> (v4_cat_1(B,k12_ens_1(A)) -> (all C (m1_subset_1(C,A) -> (all D all E -(E != D & r2_hidden(E,C) & r2_hidden(D,C))))) | v1_ens_1(k16_ens_1(A,B),A)))))) # label(t37_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10352 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (v1_funct_1(D) & v1_funct_2(D,k6_cat_1(A,k3_cat_1(A,C),B),k6_cat_1(A,k2_cat_1(A,C),B)) & m2_relset_1(D,k6_cat_1(A,k3_cat_1(A,C),B),k6_cat_1(A,k2_cat_1(A,C),B)) -> ((all E (m1_subset_1(E,u2_cat_1(A)) -> (r2_hidden(E,k6_cat_1(A,k3_cat_1(A,C),B)) -> k4_cat_1(A,C,E) = k1_funct_1(D,E)))) <-> k19_ens_1(A,B,C) = D))))))))) # label(d21_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10353 (all A (-v1_xboole_0(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C all D (r2_hidden(k4_tarski(k4_tarski(C,D),B),k2_ens_1(A)) -> v1_funct_2(B,C,D) & m2_relset_1(B,C,D) & v1_funct_1(B) & (k1_xboole_0 = D -> C = k1_xboole_0))))))) # label(t10_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10354 (all A all B all C (-v1_xboole_0(A) & v2_cat_1(B) & l1_cat_1(B) & m1_subset_1(C,u1_cat_1(B)) -> m2_cat_1(k24_ens_1(A,B,C),B,k12_ens_1(A)))) # label(dt_k24_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10355 $T # label(dt_k1_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10356 (all A (-v1_xboole_0(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,k2_ens_1(A),A) & m2_relset_1(B,k2_ens_1(A),A) -> ((all C (m1_subset_1(C,k2_ens_1(A)) -> k8_funct_2(k2_ens_1(A),A,B,C) = k4_ens_1(A,C))) <-> k9_ens_1(A) = B))))) # label(d11_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10357 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> (k2_cat_1(A,D) = k3_cat_1(A,E) & k2_cat_1(A,C) = k3_cat_1(A,B) -> k22_ens_1(A,k4_cat_1(A,B,C),k4_cat_1(A,E,D)) = k1_partfun1(k6_cat_1(A,k3_cat_1(A,C),k2_cat_1(A,E)),k6_cat_1(A,k2_cat_1(A,C),k3_cat_1(A,E)),k6_cat_1(A,k3_cat_1(A,B),k2_cat_1(A,D)),k6_cat_1(A,k2_cat_1(A,B),k3_cat_1(A,D)),k22_ens_1(A,C,E),k22_ens_1(A,B,D))))))))))))) # label(t56_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10358 (all A (-v1_xboole_0(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (r1_tarski(k17_ens_1(B),A) -> k26_ens_1(A,B) = k23_ens_1(B)))))) # label(d28_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10359 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k2_ens_1(A)) -> k2_mcart_1(k1_mcart_1(B)) = k4_ens_1(A,B))))) # label(d5_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10360 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> r1_tarski(k1_funct_2(B,C),k1_ens_1(A)))))))) # label(t2_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10361 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,A) -> m1_subset_1(k5_ens_1(A,B),k2_ens_1(A)))) # label(dt_k5_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10362 (all A (-v1_xboole_0(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> (r1_tarski(k17_ens_1(B),A) -> m2_cat_1(k20_ens_1(B,C),B,k12_ens_1(A))))))))) # label(t49_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10363 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) -> r1_tarski(k2_ens_1(B),k2_ens_1(A)))))) # label(t7_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10364 (all A all B all C all D (-v1_xboole_0(B) & m1_subset_1(C,B) & m1_subset_1(D,B) -> (r2_hidden(A,a_3_0_ens_1(B,C,D)) <-> (exists E (m1_subset_1(E,k1_ens_1(B)) & k1_domain_1(k2_zfmisc_1(B,B),k1_ens_1(B),k1_domain_1(B,B,C,D),E) = A & r2_hidden(k1_domain_1(k2_zfmisc_1(B,B),k1_ens_1(B),k1_domain_1(B,B,C,D),E),k2_ens_1(B))))))) # label(fraenkel_a_3_0_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10365 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> k19_ens_1(A,C,k10_cat_1(A,B)) = k6_partfun1(k6_cat_1(A,B,C)))))))) # label(t44_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10366 (all A (-v1_xboole_0(A) -> -v1_xboole_0(k2_ens_1(A)))) # label(fc2_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10367 (all A (-v1_xboole_0(A) -> v1_funct_1(k11_ens_1(A)) & v1_funct_2(k11_ens_1(A),A,k2_ens_1(A)) & m2_relset_1(k11_ens_1(A),A,k2_ens_1(A)))) # label(dt_k11_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10368 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k2_ens_1(A)) -> v1_funct_1(k2_mcart_1(B)) & m2_relset_1(k2_mcart_1(B),k3_ens_1(A,B),k4_ens_1(A,B)) & v1_funct_2(k2_mcart_1(B),k3_ens_1(A,B),k4_ens_1(A,B)) & -(k3_ens_1(A,B) != k1_xboole_0 & k1_xboole_0 = k4_ens_1(A,B)))))) # label(t9_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10369 (all A (-v1_xboole_0(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> (r1_tarski(k17_ens_1(B),A) -> k25_ens_1(A,B,C) = k21_ens_1(B,C)))))))) # label(d27_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10370 (all A (-v1_xboole_0(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> (r1_tarski(k17_ens_1(B),A) -> k24_ens_1(A,B,C) = k14_cat_2(k2_oppcat_1(B),B,k12_ens_1(A),k26_ens_1(A,B),k3_oppcat_1(B,C))))))))) # label(t65_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10371 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (k1_xboole_0 = k6_cat_1(A,k2_cat_1(A,B),k3_cat_1(A,C)) -> k1_xboole_0 = k6_cat_1(A,k3_cat_1(A,B),k2_cat_1(A,C))))))))) # label(t51_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10372 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u1_cat_1(k12_ens_1(A))) -> (all C (m1_subset_1(C,u1_cat_1(k12_ens_1(A))) -> k6_cat_1(k12_ens_1(A),B,C) = k7_ens_1(A,k14_ens_1(A,B),k14_ens_1(A,C)))))))) # label(t27_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10373 (all A all B (-v1_xboole_0(B) -> ((exists C exists D (m1_subset_1(D,B) & A = k1_funct_2(C,D) & m1_subset_1(C,B))) <-> r2_hidden(A,a_1_0_ens_1(B))))) # label(fraenkel_a_1_0_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10374 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u1_cat_1(k12_ens_1(A))) -> -(v6_cat_1(B,k12_ens_1(A)) & (all C k1_tarski(C) != B) & A != k1_tarski(k1_xboole_0)))))) # label(t34_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10375 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> a_3_0_ens_1(A,B,C) = k7_ens_1(A,B,C))))))) # label(d8_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10376 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u2_cat_1(k12_ens_1(A))) -> (v1_ens_1(k16_ens_1(A,B),A) -> v4_cat_1(B,k12_ens_1(A))))))) # label(t38_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10377 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k2_ens_1(A)) -> B = k15_ens_1(A,B))))) # label(d17_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10378 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (v1_funct_2(D,k6_cat_1(A,k3_cat_1(A,B),k2_cat_1(A,C)),k6_cat_1(A,k2_cat_1(A,B),k3_cat_1(A,C))) & m2_relset_1(D,k6_cat_1(A,k3_cat_1(A,B),k2_cat_1(A,C)),k6_cat_1(A,k2_cat_1(A,B),k3_cat_1(A,C))) & v1_funct_1(D) -> ((all E (m1_subset_1(E,u2_cat_1(A)) -> (r2_hidden(E,k6_cat_1(A,k3_cat_1(A,B),k2_cat_1(A,C))) -> k1_funct_1(D,E) = k4_cat_1(A,B,k4_cat_1(A,E,C))))) <-> k22_ens_1(A,B,C) = D))))))))) # label(d24_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10379 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (m1_subset_1(B,u1_cat_1(k12_ens_1(A))) -> (v7_cat_1(B,k12_ens_1(A)) -> B = k1_xboole_0))))) # label(t32_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10380 (all A (-v1_xboole_0(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> (r1_tarski(k17_ens_1(B),A) -> k6_cat_1(B,C,D) = k8_funct_2(u1_cat_1(k11_cat_2(k2_oppcat_1(B),B)),u1_cat_1(k12_ens_1(A)),k12_cat_1(k11_cat_2(k2_oppcat_1(B),B),k12_ens_1(A),k26_ens_1(A,B)),k12_cat_2(k2_oppcat_1(B),B,k3_oppcat_1(B,C),D))))))))))) # label(t64_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10381 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u1_cat_1(k12_ens_1(A))) -> ((exists C k1_tarski(C) = B) -> v6_cat_1(B,k12_ens_1(A))))))) # label(t33_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10382 (all A (-v1_xboole_0(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> (r1_tarski(k17_ens_1(B),A) -> k6_cat_1(B,C,D) = k8_funct_2(u1_cat_1(B),u1_cat_1(k12_ens_1(A)),k12_cat_1(B,k12_ens_1(A),k24_ens_1(A,B,C)),D)))))))))) # label(t60_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10383 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,k2_ens_1(A)) -> (r2_hidden(D,k7_ens_1(A,B,C)) -> D = k4_tarski(k1_domain_1(A,A,B,C),k2_mcart_1(D))))))))))) # label(t16_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10384 (all A (-v1_xboole_0(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> (r1_tarski(k17_ens_1(B),A) -> k20_ens_1(B,C) = k24_ens_1(A,B,C)))))))) # label(d26_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10385 (all A (-v1_xboole_0(A) -> k1_ens_1(A) = k3_tarski(a_1_0_ens_1(A)))) # label(d1_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10386 (all A all B all C (m1_subset_1(B,u2_cat_1(A)) & m1_subset_1(C,u2_cat_1(A)) & l1_cat_1(A) & v2_cat_1(A) -> v1_funct_1(k22_ens_1(A,B,C)) & v1_funct_2(k22_ens_1(A,B,C),k6_cat_1(A,k3_cat_1(A,B),k2_cat_1(A,C)),k6_cat_1(A,k2_cat_1(A,B),k3_cat_1(A,C))) & m2_relset_1(k22_ens_1(A,B,C),k6_cat_1(A,k3_cat_1(A,B),k2_cat_1(A,C)),k6_cat_1(A,k2_cat_1(A,B),k3_cat_1(A,C))))) # label(dt_k22_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10387 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (v1_funct_2(C,u2_cat_1(A),k2_ens_1(k17_ens_1(A))) & m2_relset_1(C,u2_cat_1(A),k2_ens_1(k17_ens_1(A))) & v1_funct_1(C) -> (C = k20_ens_1(A,B) <-> (all D (m1_subset_1(D,u2_cat_1(A)) -> k8_funct_2(u2_cat_1(A),k2_ens_1(k17_ens_1(A)),C,D) = k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u2_cat_1(A)),k1_zfmisc_1(u2_cat_1(A))),k1_zfmisc_1(k2_zfmisc_1(k6_cat_1(A,B,k2_cat_1(A,D)),k6_cat_1(A,B,k3_cat_1(A,D)))),k1_domain_1(k1_zfmisc_1(u2_cat_1(A)),k1_zfmisc_1(u2_cat_1(A)),k6_cat_1(A,B,k2_cat_1(A,D)),k6_cat_1(A,B,k3_cat_1(A,D))),k18_ens_1(A,B,D))))))))))) # label(d22_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10388 (all A all B all C (m1_subset_1(B,u1_cat_1(A)) & m1_subset_1(C,u2_cat_1(A)) & l1_cat_1(A) & v2_cat_1(A) -> v1_funct_1(k19_ens_1(A,B,C)) & v1_funct_2(k19_ens_1(A,B,C),k6_cat_1(A,k3_cat_1(A,C),B),k6_cat_1(A,k2_cat_1(A,C),B)) & m2_relset_1(k19_ens_1(A,B,C),k6_cat_1(A,k3_cat_1(A,C),B),k6_cat_1(A,k2_cat_1(A,C),B)))) # label(dt_k19_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10389 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (k3_cat_1(A,D) = k2_cat_1(A,C) -> k19_ens_1(A,B,k4_cat_1(A,D,C)) = k1_partfun1(k6_cat_1(A,k3_cat_1(A,C),B),k6_cat_1(A,k2_cat_1(A,C),B),k6_cat_1(A,k3_cat_1(A,D),B),k6_cat_1(A,k2_cat_1(A,D),B),k19_ens_1(A,B,C),k19_ens_1(A,B,D))))))))))) # label(t46_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10390 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k2_ens_1(A)) -> (k2_relat_1(k2_mcart_1(B)) = k4_ens_1(A,B) <-> v1_ens_1(B,A)))))) # label(d9_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10391 (all A (-v1_xboole_0(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> (r1_tarski(k17_ens_1(B),A) -> k6_cat_1(B,D,C) = k8_funct_2(u1_cat_1(B),u1_cat_1(k12_ens_1(A)),k12_cat_1(B,k12_ens_1(A),k25_ens_1(A,B,C)),D)))))))))) # label(t62_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10392 (all A (v2_cat_1(A) & l1_cat_1(A) -> -v1_xboole_0(k17_ens_1(A)))) # label(fc5_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10393 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> r1_tarski(k7_ens_1(A,B,C),k2_ens_1(A)))))))) # label(t17_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10394 (all A all B (-v1_xboole_0(B) -> ((exists C exists D exists E (m1_subset_1(E,k1_ens_1(B)) & v1_funct_2(E,C,D) & m2_relset_1(E,C,D) & v1_funct_1(E) & (k1_xboole_0 = D -> C = k1_xboole_0) & k1_domain_1(k2_zfmisc_1(B,B),k1_ens_1(B),k1_domain_1(B,B,C,D),E) = A & m1_subset_1(D,B) & m1_subset_1(C,B))) <-> r2_hidden(A,a_1_1_ens_1(B))))) # label(fraenkel_a_1_1_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10395 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u1_cat_1(k12_ens_1(A))) -> m1_subset_1(B,A))))) # label(t23_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10396 (all A (-v1_xboole_0(A) -> l1_cat_1(k12_ens_1(A)))) # label(dt_k12_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10397 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (v1_funct_2(C,u2_cat_1(A),k2_ens_1(k17_ens_1(A))) & m2_relset_1(C,u2_cat_1(A),k2_ens_1(k17_ens_1(A))) & v1_funct_1(C) -> (C = k21_ens_1(A,B) <-> (all D (m1_subset_1(D,u2_cat_1(A)) -> k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u2_cat_1(A)),k1_zfmisc_1(u2_cat_1(A))),k1_zfmisc_1(k2_zfmisc_1(k6_cat_1(A,k3_cat_1(A,D),B),k6_cat_1(A,k2_cat_1(A,D),B))),k1_domain_1(k1_zfmisc_1(u2_cat_1(A)),k1_zfmisc_1(u2_cat_1(A)),k6_cat_1(A,k3_cat_1(A,D),B),k6_cat_1(A,k2_cat_1(A,D),B)),k19_ens_1(A,B,D)) = k8_funct_2(u2_cat_1(A),k2_ens_1(k17_ens_1(A)),C,D)))))))))) # label(d23_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10398 (all A (-v1_xboole_0(A) -> v1_cat_1(k12_ens_1(A)) & v2_cat_1(k12_ens_1(A)))) # label(fc4_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10399 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (v1_funct_2(D,k6_cat_1(A,B,k2_cat_1(A,C)),k6_cat_1(A,B,k3_cat_1(A,C))) & m2_relset_1(D,k6_cat_1(A,B,k2_cat_1(A,C)),k6_cat_1(A,B,k3_cat_1(A,C))) & v1_funct_1(D) -> ((all E (m1_subset_1(E,u2_cat_1(A)) -> (r2_hidden(E,k6_cat_1(A,B,k2_cat_1(A,C))) -> k4_cat_1(A,E,C) = k1_funct_1(D,E)))) <-> D = k18_ens_1(A,B,C)))))))))) # label(d20_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10400 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u2_cat_1(k12_ens_1(A))) -> k2_cat_1(k12_ens_1(A),B) = k3_ens_1(A,k16_ens_1(A,B)) & k3_cat_1(k12_ens_1(A),B) = k4_ens_1(A,k16_ens_1(A,B)))))) # label(t26_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10401 $T # label(d3_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10402 (all A (-v1_xboole_0(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,A,k2_ens_1(A)) & v1_funct_2(B,A,k2_ens_1(A)) -> ((all C (m1_subset_1(C,A) -> k5_ens_1(A,C) = k8_funct_2(A,k2_ens_1(A),B,C))) <-> k11_ens_1(A) = B))))) # label(d13_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10403 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (m1_subset_1(B,u1_cat_1(k12_ens_1(A))) -> -(v6_cat_1(B,k12_ens_1(A)) & (all C k1_tarski(C) != B)))))) # label(t35_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10404 (all A (-v1_xboole_0(A) -> v1_funct_1(k9_ens_1(A)) & v1_funct_2(k9_ens_1(A),k2_ens_1(A),A) & m2_relset_1(k9_ens_1(A),k2_ens_1(A),A))) # label(dt_k9_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10405 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v1_funct_2(B,u2_cat_1(k11_cat_2(A,A)),k2_ens_1(k17_ens_1(A))) & m2_relset_1(B,u2_cat_1(k11_cat_2(A,A)),k2_ens_1(k17_ens_1(A))) & v1_funct_1(B) -> ((all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> k8_funct_2(u2_cat_1(k11_cat_2(A,A)),k2_ens_1(k17_ens_1(A)),B,k13_cat_2(A,A,C,D)) = k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u2_cat_1(A)),k1_zfmisc_1(u2_cat_1(A))),k1_zfmisc_1(k2_zfmisc_1(k6_cat_1(A,k3_cat_1(A,C),k2_cat_1(A,D)),k6_cat_1(A,k2_cat_1(A,C),k3_cat_1(A,D)))),k1_domain_1(k1_zfmisc_1(u2_cat_1(A)),k1_zfmisc_1(u2_cat_1(A)),k6_cat_1(A,k3_cat_1(A,C),k2_cat_1(A,D)),k6_cat_1(A,k2_cat_1(A,C),k3_cat_1(A,D))),k22_ens_1(A,C,D)))))) <-> B = k23_ens_1(A)))))) # label(d25_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10406 (all A (-v1_xboole_0(A) -> a_1_1_ens_1(A) = k2_ens_1(A))) # label(d2_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10407 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,u2_cat_1(k12_ens_1(A))) -> m1_subset_1(k16_ens_1(A,B),k2_ens_1(A)))) # label(dt_k16_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10408 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k2_ens_1(A)) -> k6_ens_1(A,B,k5_ens_1(A,k4_ens_1(A,B))) = B & k6_ens_1(A,k5_ens_1(A,k3_ens_1(A,B)),B) = B)))) # label(t14_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10409 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u2_cat_1(k12_ens_1(A))) -> (all C (m1_subset_1(C,u2_cat_1(k12_ens_1(A))) -> (k2_cat_1(k12_ens_1(A),B) = k3_cat_1(k12_ens_1(A),C) -> k6_ens_1(A,k16_ens_1(A,C),k16_ens_1(A,B)) = k4_cat_1(k12_ens_1(A),C,B)))))))) # label(t28_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.86	10410 (all A (-v1_xboole_0(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,k2_zfmisc_1(k2_ens_1(A),k2_ens_1(A)),k2_ens_1(A)) -> (B = k10_ens_1(A) <-> (all C (m1_subset_1(C,k2_ens_1(A)) -> (all D (m1_subset_1(D,k2_ens_1(A)) -> (k4_ens_1(A,D) = k3_ens_1(A,C) -> k6_ens_1(A,D,C) = k1_funct_1(B,k1_domain_1(k2_ens_1(A),k2_ens_1(A),C,D))))))) & (all C (m1_subset_1(C,k2_ens_1(A)) -> (all D (m1_subset_1(D,k2_ens_1(A)) -> (k3_ens_1(A,C) = k4_ens_1(A,D) <-> r2_hidden(k1_domain_1(k2_ens_1(A),k2_ens_1(A),C,D),k1_relat_1(B)))))))))))) # label(d12_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10411 (all A (-v1_xboole_0(A) -> r1_tarski(k2_ens_1(A),k2_zfmisc_1(k2_zfmisc_1(A,A),k1_ens_1(A))))) # label(t6_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10412 (all A (-v1_xboole_0(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> (all D (m1_subset_1(D,u2_cat_1(B)) -> (r1_tarski(k17_ens_1(B),A) -> k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u2_cat_1(B)),k1_zfmisc_1(u2_cat_1(B))),k1_zfmisc_1(k2_zfmisc_1(k6_cat_1(B,C,k2_cat_1(B,D)),k6_cat_1(B,C,k3_cat_1(B,D)))),k1_domain_1(k1_zfmisc_1(u2_cat_1(B)),k1_zfmisc_1(u2_cat_1(B)),k6_cat_1(B,C,k2_cat_1(B,D)),k6_cat_1(B,C,k3_cat_1(B,D))),k18_ens_1(B,C,D)) = k8_funct_2(u2_cat_1(B),u2_cat_1(k12_ens_1(A)),k24_ens_1(A,B,C),D)))))))))) # label(t59_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10413 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> m1_subset_1(k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u2_cat_1(A)),k1_zfmisc_1(u2_cat_1(A))),k1_zfmisc_1(k2_zfmisc_1(k6_cat_1(A,k3_cat_1(A,C),B),k6_cat_1(A,k2_cat_1(A,C),B))),k1_domain_1(k1_zfmisc_1(u2_cat_1(A)),k1_zfmisc_1(u2_cat_1(A)),k6_cat_1(A,k3_cat_1(A,C),B),k6_cat_1(A,k2_cat_1(A,C),B)),k19_ens_1(A,B,C)),k2_ens_1(k17_ens_1(A))))))))) # label(t48_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10414 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,k2_ens_1(A)) -> v1_relat_1(k2_mcart_1(B)) & v1_funct_1(k2_mcart_1(B)))) # label(fc3_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10415 (all A (-v1_xboole_0(A) -> v1_fraenkel(k1_ens_1(A)) & -v1_xboole_0(k1_ens_1(A)))) # label(fc1_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10416 (all A all B (m1_subset_1(B,k2_ens_1(A)) & -v1_xboole_0(A) -> m1_subset_1(k3_ens_1(A,B),A))) # label(dt_k3_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10417 $T # label(dt_k17_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10418 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k2_ens_1(A)) -> m1_subset_1(B,u2_cat_1(k12_ens_1(A))))))) # label(t24_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10419 (all A (-v1_xboole_0(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> (r1_tarski(k17_ens_1(B),A) -> m1_oppcat_1(k21_ens_1(B,C),B,k12_ens_1(A))))))))) # label(t50_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10420 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> m1_subset_1(k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u2_cat_1(A)),k1_zfmisc_1(u2_cat_1(A))),k1_zfmisc_1(k2_zfmisc_1(k6_cat_1(A,k3_cat_1(A,B),k2_cat_1(A,C)),k6_cat_1(A,k2_cat_1(A,B),k3_cat_1(A,C)))),k1_domain_1(k1_zfmisc_1(u2_cat_1(A)),k1_zfmisc_1(u2_cat_1(A)),k6_cat_1(A,k3_cat_1(A,B),k2_cat_1(A,C)),k6_cat_1(A,k2_cat_1(A,B),k3_cat_1(A,C))),k22_ens_1(A,B,C)),k2_ens_1(k17_ens_1(A))))))))) # label(t52_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10421 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u1_cat_1(k12_ens_1(A))) -> (r2_hidden(k1_xboole_0,A) & v7_cat_1(B,k12_ens_1(A)) -> B = k1_xboole_0))))) # label(t31_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10422 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m2_relset_1(D,B,C) & v1_funct_2(D,B,C) & v1_funct_1(D) -> ((k1_xboole_0 = C -> k1_xboole_0 = B) -> r2_hidden(k1_domain_1(k2_zfmisc_1(A,A),k1_zfmisc_1(k2_zfmisc_1(B,C)),k1_domain_1(A,A,B,C),D),k2_ens_1(A))))))))))) # label(t5_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10423 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u2_cat_1(k12_ens_1(A))) -> B = k16_ens_1(A,B))))) # label(d18_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10424 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> k1_domain_1(k2_zfmisc_1(A,A),k1_zfmisc_1(k2_zfmisc_1(B,B)),k1_domain_1(A,A,B,B),k6_partfun1(B)) = k5_ens_1(A,B))))) # label(d6_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10425 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m2_relset_1(D,B,C) & v1_funct_2(D,B,C) & v1_funct_1(D) -> ((C = k1_xboole_0 -> k1_xboole_0 = B) -> r2_hidden(k1_domain_1(k2_zfmisc_1(A,A),k1_zfmisc_1(k2_zfmisc_1(B,C)),k1_domain_1(A,A,B,C),D),k7_ens_1(A,B,C))))))))))) # label(t15_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10426 (all A all B all C (v2_cat_1(B) & l1_cat_1(B) & m1_subset_1(C,u1_cat_1(B)) & -v1_xboole_0(A) -> m1_oppcat_1(k25_ens_1(A,B,C),B,k12_ens_1(A)))) # label(dt_k25_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10427 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k2_ens_1(A)) -> (all C (m1_subset_1(C,k2_ens_1(A)) -> (k4_ens_1(A,B) = k3_ens_1(A,C) -> k6_ens_1(A,B,C) = k4_tarski(k1_domain_1(A,A,k3_ens_1(A,B),k4_ens_1(A,C)),k5_relat_1(k2_mcart_1(B),k2_mcart_1(C)))))))))) # label(d7_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10428 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k2_ens_1(A)) -> (all C (m1_subset_1(C,k2_ens_1(A)) -> (all D (m1_subset_1(D,k2_ens_1(A)) -> (k3_ens_1(A,B) = k4_ens_1(A,C) & k4_ens_1(A,B) = k3_ens_1(A,D) -> k6_ens_1(A,C,k6_ens_1(A,B,D)) = k6_ens_1(A,k6_ens_1(A,C,B),D)))))))))) # label(t13_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10429 (all A all B (m1_subset_1(B,k2_ens_1(A)) & -v1_xboole_0(A) -> m1_subset_1(k4_ens_1(A,B),A))) # label(dt_k4_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10430 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,u1_cat_1(k12_ens_1(A))) -> m1_subset_1(k14_ens_1(A,B),A))) # label(dt_k14_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10431 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (k2_cat_1(A,C) = k3_cat_1(A,D) -> k1_partfun1(k6_cat_1(A,B,k2_cat_1(A,D)),k6_cat_1(A,B,k3_cat_1(A,D)),k6_cat_1(A,B,k2_cat_1(A,C)),k6_cat_1(A,B,k3_cat_1(A,C)),k18_ens_1(A,B,D),k18_ens_1(A,B,C)) = k18_ens_1(A,B,k4_cat_1(A,D,C))))))))))) # label(t45_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10432 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> m1_subset_1(B,u1_cat_1(k12_ens_1(A))))))) # label(t22_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10433 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> k18_ens_1(A,B,C) = k22_ens_1(A,k10_cat_1(A,B),C) & k19_ens_1(A,B,C) = k22_ens_1(A,C,k10_cat_1(A,B)))))))) # label(t53_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10434 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) -> r1_tarski(k1_ens_1(B),k1_ens_1(A)))))) # label(t3_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10435 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u2_cat_1(k12_ens_1(A))) -> (v2_funct_1(k2_mcart_1(k16_ens_1(A,B))) <-> v3_cat_1(B,k12_ens_1(A))))))) # label(t36_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10436 (all A (-v1_xboole_0(A) -> (all B (r2_hidden(B,k1_ens_1(A)) <-> (exists C ((exists D (m1_subset_1(D,A) & v1_funct_2(B,C,D) & m2_relset_1(B,C,D) & v1_funct_1(B) & (k1_xboole_0 = D -> C = k1_xboole_0))) & m1_subset_1(C,A))))))) # label(t1_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10437 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k2_ens_1(A)) -> k4_tarski(k1_domain_1(A,A,k3_ens_1(A,B),k4_ens_1(A,B)),k2_mcart_1(B)) = B)))) # label(t8_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10438 (all A (-v1_xboole_0(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> (all D (m1_subset_1(D,u2_cat_1(B)) -> (r1_tarski(k17_ens_1(B),A) -> k8_funct_2(u2_cat_1(B),u2_cat_1(k12_ens_1(A)),k25_ens_1(A,B,C),D) = k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u2_cat_1(B)),k1_zfmisc_1(u2_cat_1(B))),k1_zfmisc_1(k2_zfmisc_1(k6_cat_1(B,k3_cat_1(B,D),C),k6_cat_1(B,k2_cat_1(B,D),C))),k1_domain_1(k1_zfmisc_1(u2_cat_1(B)),k1_zfmisc_1(u2_cat_1(B)),k6_cat_1(B,k3_cat_1(B,D),C),k6_cat_1(B,k2_cat_1(B,D),C)),k19_ens_1(B,C,D))))))))))) # label(t61_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10439 $T # label(dt_k7_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10440 (all A (-v1_xboole_0(A) -> v1_funct_2(k8_ens_1(A),k2_ens_1(A),A) & m2_relset_1(k8_ens_1(A),k2_ens_1(A),A) & v1_funct_1(k8_ens_1(A)))) # label(dt_k8_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10441 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u1_cat_1(k12_ens_1(A))) -> k5_ens_1(A,k14_ens_1(A,B)) = k10_cat_1(k12_ens_1(A),B))))) # label(t29_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10442 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k2_ens_1(A)) -> (exists C ((exists D (m1_subset_1(D,A) & (exists E (k1_domain_1(k2_zfmisc_1(A,A),k1_ens_1(A),k1_domain_1(A,A,D,E),C) = B & (E = k1_xboole_0 -> D = k1_xboole_0) & v1_funct_2(C,D,E) & m2_relset_1(C,D,E) & v1_funct_1(C) & m1_subset_1(E,A))))) & m1_subset_1(C,k1_ens_1(A)))))))) # label(t4_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10443 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u2_cat_1(k12_ens_1(A))) -> m1_subset_1(B,k2_ens_1(A)))))) # label(t25_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10444 (all A (-v1_xboole_0(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (r1_tarski(k17_ens_1(B),A) -> m2_cat_1(k23_ens_1(B),k11_cat_2(k2_oppcat_1(B),B),k12_ens_1(A))))))) # label(t58_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10445 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u1_cat_1(k12_ens_1(A))) -> k14_ens_1(A,B) = B)))) # label(d16_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10446 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k2_ens_1(A)) -> k1_mcart_1(k1_mcart_1(B)) = k3_ens_1(A,B))))) # label(d4_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10447 (all A all B (-v1_xboole_0(A) & l1_cat_1(B) & v2_cat_1(B) -> m2_cat_1(k26_ens_1(A,B),k11_cat_2(k2_oppcat_1(B),B),k12_ens_1(A)))) # label(dt_k26_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10448 (all A all B all C (m1_subset_1(C,k2_ens_1(A)) & m1_subset_1(B,k2_ens_1(A)) & -v1_xboole_0(A) -> m1_subset_1(k6_ens_1(A,B,C),k2_ens_1(A)))) # label(dt_k6_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10449 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> m1_subset_1(k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u2_cat_1(A)),k1_zfmisc_1(u2_cat_1(A))),k1_zfmisc_1(k2_zfmisc_1(k6_cat_1(A,B,k2_cat_1(A,C)),k6_cat_1(A,B,k3_cat_1(A,C)))),k1_domain_1(k1_zfmisc_1(u2_cat_1(A)),k1_zfmisc_1(u2_cat_1(A)),k6_cat_1(A,B,k2_cat_1(A,C)),k6_cat_1(A,B,k3_cat_1(A,C))),k18_ens_1(A,B,C)),k2_ens_1(k17_ens_1(A))))))))) # label(t47_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10450 (all A all B (l1_cat_1(B) & v2_cat_1(B) -> ((exists C exists D (m1_subset_1(D,u1_cat_1(B)) & A = k6_cat_1(B,C,D) & m1_subset_1(C,u1_cat_1(B)))) <-> r2_hidden(A,a_1_3_ens_1(B))))) # label(fraenkel_a_1_3_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10451 (all A (-v1_xboole_0(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u2_cat_1(B)) -> (all D (m1_subset_1(D,u2_cat_1(B)) -> (r1_tarski(k17_ens_1(B),A) -> k8_funct_2(u2_cat_1(k11_cat_2(k2_oppcat_1(B),B)),u2_cat_1(k12_ens_1(A)),k26_ens_1(A,B),k13_cat_2(k2_oppcat_1(B),B,k5_oppcat_1(B,C),D)) = k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u2_cat_1(B)),k1_zfmisc_1(u2_cat_1(B))),k1_zfmisc_1(k2_zfmisc_1(k6_cat_1(B,k3_cat_1(B,C),k2_cat_1(B,D)),k6_cat_1(B,k2_cat_1(B,C),k3_cat_1(B,D)))),k1_domain_1(k1_zfmisc_1(u2_cat_1(B)),k1_zfmisc_1(u2_cat_1(B)),k6_cat_1(B,k3_cat_1(B,C),k2_cat_1(B,D)),k6_cat_1(B,k2_cat_1(B,C),k3_cat_1(B,D))),k22_ens_1(B,C,D))))))))))) # label(t63_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10452 (all A (-v1_xboole_0(A) -> k12_ens_1(A) = g1_cat_1(A,k2_ens_1(A),k8_ens_1(A),k9_ens_1(A),k10_ens_1(A),k11_ens_1(A)))) # label(d14_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10453 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (m1_subset_1(B,u2_cat_1(k12_ens_1(A))) -> (v4_cat_1(B,k12_ens_1(A)) -> v1_ens_1(k16_ens_1(A,B),A)))))) # label(t39_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10454 (all A all B (v2_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_cat_1(A)) -> v1_funct_1(k21_ens_1(A,B)) & m2_relset_1(k21_ens_1(A,B),u2_cat_1(A),k2_ens_1(k17_ens_1(A))) & v1_funct_2(k21_ens_1(A,B),u2_cat_1(A),k2_ens_1(k17_ens_1(A))))) # label(dt_k21_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10455 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (k6_cat_1(A,k2_cat_1(A,C),B) = k1_xboole_0 -> k6_cat_1(A,k3_cat_1(A,C),B) = k1_xboole_0) & (k1_xboole_0 = k6_cat_1(A,B,k3_cat_1(A,C)) -> k1_xboole_0 = k6_cat_1(A,B,k2_cat_1(A,C))))))))) # label(t42_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10456 (all A (-v1_xboole_0(A) -> l1_cat_1(g1_cat_1(A,k2_ens_1(A),k8_ens_1(A),k9_ens_1(A),k10_ens_1(A),k11_ens_1(A))) & v2_cat_1(g1_cat_1(A,k2_ens_1(A),k8_ens_1(A),k9_ens_1(A),k10_ens_1(A),k11_ens_1(A))))) # label(t21_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10457 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> k1_funct_1(k5_funct_5(k23_ens_1(A)),k10_cat_1(A,B)) = k21_ens_1(A,B) & k1_funct_1(k3_funct_5(k23_ens_1(A)),k10_cat_1(A,B)) = k20_ens_1(A,B))))) # label(t57_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10458 (all A (-v1_xboole_0(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> (r1_tarski(k17_ens_1(B),A) -> k15_cat_2(k2_oppcat_1(B),B,k12_ens_1(A),k26_ens_1(A,B),C) = k25_ens_1(A,B,C)))))))) # label(t66_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10459 (all A all B (m1_subset_1(B,A) & -v1_xboole_0(A) -> m1_subset_1(k13_ens_1(A,B),u1_cat_1(k12_ens_1(A))))) # label(dt_k13_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10460 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,k2_ens_1(A)) -> (r2_hidden(D,k7_ens_1(A,B,C)) -> r2_hidden(k2_mcart_1(D),k1_funct_2(B,C))))))))))) # label(t20_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10461 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) -> r1_cat_2(k12_ens_1(B),k12_ens_1(A)))))) # label(t40_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10462 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> k2_mcart_1(k5_ens_1(A,B)) = k6_partfun1(B) & k4_ens_1(A,k5_ens_1(A,B)) = B & k3_ens_1(A,k5_ens_1(A,B)) = B)))) # label(t11_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10463 $T # label(dt_k2_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10464 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> k18_ens_1(A,B,k10_cat_1(A,C)) = k6_partfun1(k6_cat_1(A,B,C)))))))) # label(t43_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10465 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> k13_ens_1(A,B) = B)))) # label(d15_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10466 (all A (v2_cat_1(A) & l1_cat_1(A) -> m2_relset_1(k23_ens_1(A),u2_cat_1(k11_cat_2(A,A)),k2_ens_1(k17_ens_1(A))) & v1_funct_2(k23_ens_1(A),u2_cat_1(k11_cat_2(A,A)),k2_ens_1(k17_ens_1(A))) & v1_funct_1(k23_ens_1(A)))) # label(dt_k23_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10467 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,k2_ens_1(A)) -> (r2_hidden(D,k7_ens_1(A,B,C)) <-> B = k3_ens_1(A,D) & k4_ens_1(A,D) = C))))))))) # label(t19_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10468 (all A all B (-v1_xboole_0(B) -> ((exists C exists D (m1_subset_1(C,B) & m1_subset_1(D,B) & A = k7_ens_1(B,C,D))) <-> r2_hidden(A,a_1_2_ens_1(B))))) # label(fraenkel_a_1_2_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10469 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u1_cat_1(k12_ens_1(A))) -> (B = k1_xboole_0 -> v7_cat_1(B,k12_ens_1(A))))))) # label(t30_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10470 (all A all B (v2_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_cat_1(A)) -> v1_funct_2(k20_ens_1(A,B),u2_cat_1(A),k2_ens_1(k17_ens_1(A))) & m2_relset_1(k20_ens_1(A,B),u2_cat_1(A),k2_ens_1(k17_ens_1(A))) & v1_funct_1(k20_ens_1(A,B)))) # label(dt_k20_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10471 (all A (-v1_xboole_0(A) -> k3_tarski(a_1_2_ens_1(A)) = k2_ens_1(A))) # label(t18_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10472 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> k22_ens_1(A,B,C) = k1_partfun1(k6_cat_1(A,k3_cat_1(A,B),k2_cat_1(A,C)),k6_cat_1(A,k2_cat_1(A,B),k2_cat_1(A,C)),k6_cat_1(A,k2_cat_1(A,B),k2_cat_1(A,C)),k6_cat_1(A,k2_cat_1(A,B),k3_cat_1(A,C)),k19_ens_1(A,k2_cat_1(A,C),B),k18_ens_1(A,k2_cat_1(A,B),C)))))))) # label(t55_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10473 (all A (-v1_xboole_0(A) -> v1_funct_1(k10_ens_1(A)) & m2_relset_1(k10_ens_1(A),k2_zfmisc_1(k2_ens_1(A),k2_ens_1(A)),k2_ens_1(A)))) # label(dt_k10_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10474 (all A all B all C (v2_cat_1(A) & l1_cat_1(A) & m1_subset_1(C,u2_cat_1(A)) & m1_subset_1(B,u1_cat_1(A)) -> v1_funct_1(k18_ens_1(A,B,C)) & m2_relset_1(k18_ens_1(A,B,C),k6_cat_1(A,B,k2_cat_1(A,C)),k6_cat_1(A,B,k3_cat_1(A,C))) & v1_funct_2(k18_ens_1(A,B,C),k6_cat_1(A,B,k2_cat_1(A,C)),k6_cat_1(A,B,k3_cat_1(A,C))))) # label(dt_k18_ens_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10475 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (r1_borsuk_1(A,B) <-> (exists 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)) & v3_borsuk_1(C,A,B) & v5_pre_topc(C,A,B)))))))) # label(d20_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10476 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(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,A,C) & m2_relset_1(E,A,C) -> -((all F (v1_funct_2(F,B,C) & m2_relset_1(F,B,C) & v1_funct_1(F) -> E != k7_funct_2(A,B,C,D,F))) & (all F (m1_subset_1(F,A) -> (all G (m1_subset_1(G,A) -> (k8_funct_2(A,B,D,G) = k8_funct_2(A,B,D,F) -> k8_funct_2(A,C,E,F) = k8_funct_2(A,C,E,G))))))))))))))))) # label(t19_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10477 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) -> (v3_pre_topc(C,k6_borsuk_1(A,B)) -> k5_setfam_1(u1_struct_0(k6_borsuk_1(A,B)),k11_borsuk_1(A,B,C)) = C))))))) # label(t54_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10478 (all A all B all C all D all E all F (-v3_struct_0(A) & l1_pre_topc(A) & -v3_struct_0(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m2_connsp_2(E,A,C) & m1_connsp_2(F,B,D) & m1_subset_1(D,u1_struct_0(B)) & v2_pre_topc(B) & v2_pre_topc(A) -> m2_connsp_2(k10_borsuk_1(A,B,C,D,E,F),k6_borsuk_1(A,B),k7_borsuk_1(A,B,C,k1_struct_0(B,D))))) # label(dt_k10_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10479 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v1_xboole_0(B) & m1_eqrel_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(k16_borsuk_1(A,B))) -> (exists D (m1_subset_1(D,u1_struct_0(A)) & C = k8_funct_2(u1_struct_0(A),u1_struct_0(k16_borsuk_1(A,B)),k17_borsuk_1(A,B),D))))))))) # label(t71_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10480 (all A all B all C all D all E all F (l1_pre_topc(A) & -v3_struct_0(B) & v2_pre_topc(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) & m1_connsp_2(E,A,C) & m1_connsp_2(F,B,D) & l1_pre_topc(B) & v2_pre_topc(A) & -v3_struct_0(A) -> k2_zfmisc_1(E,F) = k9_borsuk_1(A,B,C,D,E,F))) # label(redefinition_k9_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10481 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> v6_compts_1(k1_struct_0(A,B),A))))) # label(t41_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10482 (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) & v1_funct_2(D,A,B) & v1_funct_1(D) -> (all E (m1_subset_1(E,B) -> (all F (m1_subset_1(F,C) -> k3_funct_2(k2_zfmisc_1(A,C),k2_zfmisc_1(B,C),k16_funct_3(A,C,B,C,D,k6_partfun1(C)),k6_domain_1(k2_zfmisc_1(B,C),k1_domain_1(B,C,E,F))) = k12_mcart_1(A,C,k3_funct_2(A,B,D,k6_domain_1(B,E)),k6_domain_1(C,F)))))))))))))) # label(t24_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10483 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) -> k5_setfam_1(u1_struct_0(k6_borsuk_1(A,B)),k11_borsuk_1(A,B,C)) = k1_tops_1(k6_borsuk_1(A,B),C))))))) # label(t55_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10484 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all 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))) -> (all D (m2_connsp_2(D,A,C) -> (r1_tarski(B,C) -> m2_connsp_2(D,A,B)))))))))) # label(t39_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10485 (all A (-v1_xboole_0(A) -> (all B (m1_eqrel_1(B,A) & -v1_xboole_0(B) -> (all C (m1_subset_1(C,A) -> (all D (m2_subset_1(D,k1_zfmisc_1(A),B) -> (r2_hidden(C,D) -> k8_funct_2(A,B,k2_borsuk_1(A,B),C) = D))))))))) # label(t29_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10486 (all A (l1_struct_0(A) -> m1_eqrel_1(k15_borsuk_1(A),u1_struct_0(A)))) # label(dt_k15_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10487 (all A all B all C r1_tarski(k9_relat_1(k2_funcop_1(A,B),C),k1_tarski(B))) # label(t6_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10488 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> k7_borsuk_1(A,B,k1_tops_1(A,C),k1_tops_1(B,D)) = k1_tops_1(k6_borsuk_1(A,B),k7_borsuk_1(A,B,C,D)))))))))) # label(t47_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10489 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B)))) -> ((all E (r2_hidden(E,D) -> (exists F (m1_subset_1(F,k1_zfmisc_1(A)) & (exists G (m1_subset_1(G,k1_zfmisc_1(B)) & k12_mcart_1(A,B,F,G) = E)))) & r1_tarski(E,C))) -> r1_tarski(k2_zfmisc_1(k1_setfam_1(k9_relat_1(k1_funct_3(k9_funct_3(A,B)),D)),k3_tarski(k9_relat_1(k1_funct_3(k10_funct_3(A,B)),D))),C)))))) # label(t15_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10490 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v1_borsuk_1(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (C = u1_struct_0(B) -> v4_pre_topc(C,A))))))))) # label(d14_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10491 $T # label(d4_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10492 (all A all B all C all D (-v3_struct_0(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) & l1_pre_topc(B) & v2_pre_topc(B) & -v3_struct_0(B) & l1_pre_topc(A) & v2_pre_topc(A) -> m1_subset_1(k8_borsuk_1(A,B,C,D),u1_struct_0(k6_borsuk_1(A,B))))) # label(dt_k8_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10493 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(r1_compts_1(A,C,D) & (all E (m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(r1_tarski(E,C) & r1_compts_1(A,E,D) & (all F -(r1_xboole_0(F,D) & r2_hidden(F,E))))))))))))))) # label(t63_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10494 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> ((exists C (v1_funct_2(C,u1_struct_0(k6_borsuk_1(A,k22_borsuk_1)),u1_struct_0(A)) & m2_relset_1(C,u1_struct_0(k6_borsuk_1(A,k22_borsuk_1)),u1_struct_0(A)) & (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(k22_borsuk_1)) -> k8_funct_2(u1_struct_0(k6_borsuk_1(A,k22_borsuk_1)),u1_struct_0(A),C,k8_borsuk_1(A,k22_borsuk_1,D,E)) = D))) & r2_hidden(k8_funct_2(u1_struct_0(k6_borsuk_1(A,k22_borsuk_1)),u1_struct_0(A),C,k8_borsuk_1(A,k22_borsuk_1,D,k24_borsuk_1)),u1_struct_0(B)) & k8_funct_2(u1_struct_0(k6_borsuk_1(A,k22_borsuk_1)),u1_struct_0(A),C,k8_borsuk_1(A,k22_borsuk_1,D,k23_borsuk_1)) = D)) & v5_pre_topc(C,k6_borsuk_1(A,k22_borsuk_1),A) & v1_funct_1(C))) <-> r2_borsuk_1(A,B)))))) # label(d21_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10495 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_eqrel_1(C,u1_struct_0(B)) & -v1_xboole_0(C) -> r1_tarski(C,k18_borsuk_1(A,B,C)))))))) # label(t73_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10496 (all A all B (-v1_xboole_0(A) & m1_eqrel_1(B,A) & -v1_xboole_0(B) -> v1_funct_1(k2_borsuk_1(A,B)) & m2_relset_1(k2_borsuk_1(A,B),A,B) & v1_funct_2(k2_borsuk_1(A,B),A,B))) # label(dt_k2_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10497 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B))))) -> ((all E (r2_hidden(E,D) -> r1_tarski(E,C) & (exists F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & (exists G (m1_subset_1(G,k1_zfmisc_1(u1_struct_0(B))) & k7_borsuk_1(A,B,F,G) = E)))))) -> r1_tarski(k7_borsuk_1(A,B,k5_setfam_1(u1_struct_0(A),k2_funct_2(k1_pcomps_1(u1_struct_0(k6_borsuk_1(A,B))),k1_pcomps_1(u1_struct_0(A)),k12_borsuk_1(A,B),D)),k6_setfam_1(u1_struct_0(B),k2_funct_2(k1_pcomps_1(u1_struct_0(k6_borsuk_1(A,B))),k1_pcomps_1(u1_struct_0(B)),k13_borsuk_1(A,B),D))),C)))))))))) # label(t56_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10498 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & m1_eqrel_1(B,A) -> (all C (m2_subset_1(C,k1_zfmisc_1(A),B) -> k3_funct_2(A,B,k2_borsuk_1(A,B),k6_domain_1(B,C)) = C)))))) # label(t30_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10499 $T # label(t8_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10500 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) -> (v3_pre_topc(C,k6_borsuk_1(A,B)) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) -> (k2_funct_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(A),k9_funct_3(u1_struct_0(A),u1_struct_0(B)),C) = D -> v3_pre_topc(D,A)) & (E = k2_funct_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(B),k10_funct_3(u1_struct_0(A),u1_struct_0(B)),C) -> v3_pre_topc(E,B))))))))))))) # label(t59_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10501 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) & -v3_struct_0(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)) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_connsp_2(E,B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D)) -> (exists F (r1_tarski(k4_pre_topc(A,B,C,F),E) & m1_connsp_2(F,A,D))))))) <-> v5_pre_topc(C,A,B)))))))) # label(d2_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10502 (all A all B all C (r1_tarski(A,k2_zfmisc_1(B,C)) -> k2_funct_2(k2_zfmisc_1(B,C),C,k10_funct_3(B,C),A) = k1_funct_1(k1_funct_3(k10_funct_3(B,C)),A))) # label(t10_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10503 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (all E (m2_connsp_2(E,A,C) -> (all F (m2_connsp_2(F,B,D) -> m2_connsp_2(k7_borsuk_1(A,B,E,F),k6_borsuk_1(A,B),k7_borsuk_1(A,B,C,D)))))))))))))) # label(t49_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10504 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B))))) -> (all D -((all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) -> -(r2_hidden(E,C) & k2_funct_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(B),k10_funct_3(u1_struct_0(A),u1_struct_0(B)),E) = D))) & r2_hidden(D,k2_funct_2(k1_pcomps_1(u1_struct_0(k6_borsuk_1(A,B))),k1_pcomps_1(u1_struct_0(B)),k13_borsuk_1(A,B),C)))))))))) # label(t58_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10505 (all A (-v1_xboole_0(A) -> (exists B (m1_eqrel_1(B,A) & v1_setfam_1(B) & -v1_xboole_0(B))))) # label(rc1_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10506 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> k3_tarski(k5_setfam_1(A,B)) = k3_tarski(a_2_0_borsuk_1(A,B)))) # label(t17_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10507 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) & -v3_struct_0(B) -> k12_borsuk_1(A,B) = k2_funct_3(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(A),k9_funct_3(u1_struct_0(A),u1_struct_0(B))))))) # label(d7_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10508 $T # label(t22_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10509 (all A (-v1_xboole_0(A) -> (all B (m1_eqrel_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(B)) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (D = k3_tarski(C) -> k3_tarski(k3_subset_1(B,C)) = k3_subset_1(A,D)))))))))) # label(t27_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10510 (all A (-v1_xboole_0(A) -> (all B (m1_eqrel_1(B,A) & -v1_xboole_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(B)) -> k3_funct_2(A,B,k2_borsuk_1(A,B),C) = k3_tarski(C))))))) # label(t31_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10511 (all A all B (l1_pre_topc(A) & -v3_struct_0(B) & l1_pre_topc(B) & v2_pre_topc(B) & v2_pre_topc(A) & -v3_struct_0(A) -> (exists C (m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) & v1_partfun1(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_relat_1(C) & -v1_xboole_0(C))))) # label(rc2_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10512 (all A (-v1_xboole_0(A) -> (all B (m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) & v3_relat_2(B) -> -v1_xboole_0(k8_eqrel_1(A,B)))))) # label(t28_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10513 (all A (-v3_struct_0(A) & l1_struct_0(A) -> -v1_xboole_0(k15_borsuk_1(A)) & v1_setfam_1(k15_borsuk_1(A)))) # label(fc3_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10514 (all A all B (v2_pre_topc(A) & m1_eqrel_1(B,u1_struct_0(A)) & l1_pre_topc(A) -> v1_pre_topc(k16_borsuk_1(A,B)) & l1_pre_topc(k16_borsuk_1(A,B)) & v2_pre_topc(k16_borsuk_1(A,B)))) # label(dt_k16_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10515 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (exists B (m1_pre_topc(B,A) & v1_borsuk_1(B,A) & v2_pre_topc(B) & v1_pre_topc(B))))) # label(rc3_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10516 $T # label(t1_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10517 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (v1_borsuk_1(B,A) & m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_borsuk_1(C,B) & v2_borsuk_1(C,B) -> (r2_borsuk_1(A,B) -> r2_borsuk_1(k16_borsuk_1(A,k20_borsuk_1(A,B,C)),k21_borsuk_1(A,B,C))))))))) # label(t85_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10518 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (A = k5_setfam_1(A,B) -> (all C (m1_subset_1(C,k1_zfmisc_1(B)) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (k3_tarski(C) = D -> r1_tarski(k3_subset_1(A,D),k3_tarski(k3_subset_1(B,C))))))))))) # label(t18_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10519 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(A,k10_relat_1(C,B)) -> r1_tarski(k9_relat_1(C,A),B)))) # label(t5_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10520 (all A all B all C all D all E (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(B) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(D,A,B) & m1_connsp_2(E,B,C) & m1_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(D) & m1_subset_1(C,u1_struct_0(B)) & l1_pre_topc(B) & -v3_struct_0(B) & v2_pre_topc(A) -> m2_connsp_2(k5_borsuk_1(A,B,C,D,E),A,k5_pre_topc(A,B,D,k1_struct_0(B,C))))) # label(dt_k5_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10521 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B))))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) -> (r1_compts_1(k6_borsuk_1(A,B),C,k7_borsuk_1(A,B,D,E)) -> (k1_xboole_0 != E -> r1_compts_1(A,k14_borsuk_1(u1_struct_0(k6_borsuk_1(A,B)),u1_struct_0(A),k12_borsuk_1(A,B),C),D)) & (k1_xboole_0 != D -> r1_compts_1(B,k14_borsuk_1(u1_struct_0(k6_borsuk_1(A,B)),u1_struct_0(B),k13_borsuk_1(A,B),C),E))))))))))))) # label(t62_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10522 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_borsuk_1(B,A) -> (all C (m1_subset_1(C,u1_struct_0(k16_borsuk_1(A,B))) -> (all D (m2_connsp_2(D,A,k5_pre_topc(A,k16_borsuk_1(A,B),k17_borsuk_1(A,B),k1_struct_0(k16_borsuk_1(A,B),C))) -> m1_connsp_2(k4_pre_topc(A,k16_borsuk_1(A,B),k17_borsuk_1(A,B),D),k16_borsuk_1(A,B),C))))))))) # label(t81_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10523 (all A all B all C (v2_pre_topc(A) & -v3_struct_0(B) & v1_borsuk_1(B,A) & m1_pre_topc(B,A) & m1_borsuk_1(C,B) & l1_pre_topc(A) & -v3_struct_0(A) -> k19_borsuk_1(A,B,C) = k18_borsuk_1(A,B,C))) # label(redefinition_k19_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10524 (all A all B all C all D (v2_pre_topc(A) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(A) -> m1_subset_1(k7_borsuk_1(A,B,C,D),k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))))) # label(dt_k7_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10525 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(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,A) -> (all F (m1_subset_1(F,C) -> k8_funct_2(k2_zfmisc_1(A,C),k2_zfmisc_1(B,C),k16_funct_3(A,C,B,C,D,k6_partfun1(C)),k1_domain_1(A,C,E,F)) = k1_domain_1(B,C,k8_funct_2(A,B,D,E),F))))))))))))) # label(t21_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10526 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_borsuk_1(B,A) -> m1_eqrel_1(B,u1_struct_0(A)) & -v1_xboole_0(B))))) # label(dt_m1_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10527 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (exists B (-v1_xboole_0(B) & v1_setfam_1(B) & v2_borsuk_1(B,A) & m1_borsuk_1(B,A))))) # label(rc5_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10528 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_eqrel_1(C,u1_struct_0(B)) & -v1_xboole_0(C) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(k8_funct_2(u1_struct_0(A),u1_struct_0(k16_borsuk_1(A,k18_borsuk_1(A,B,C))),k17_borsuk_1(A,k18_borsuk_1(A,B,C)),D),u1_struct_0(k16_borsuk_1(B,C))) -> r2_hidden(D,u1_struct_0(B))))))))))) # label(t79_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10529 (all A all B all C (v2_pre_topc(A) & l1_pre_topc(A) & v1_borsuk_1(B,A) & m1_borsuk_1(C,B) & m1_pre_topc(B,A) & -v3_struct_0(B) & -v3_struct_0(A) -> m1_borsuk_1(k19_borsuk_1(A,B,C),A))) # label(dt_k19_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10530 (all A all B all C (l1_pre_topc(B) & l1_pre_topc(C) & v2_pre_topc(C) & v2_pre_topc(B) -> (r2_hidden(A,a_2_1_borsuk_1(B,C)) <-> (exists D exists E (r2_hidden(D,u1_pre_topc(B)) & r2_hidden(E,u1_pre_topc(C)) & k12_mcart_1(u1_struct_0(B),u1_struct_0(C),D,E) = A & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))))))) # label(fraenkel_a_2_1_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10531 $T # label(t11_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10532 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> r1_tarski(u1_struct_0(B),u1_struct_0(A)))))) # label(t35_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10533 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v1_xboole_0(B) & m1_eqrel_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> r2_hidden(C,k8_funct_2(u1_struct_0(A),u1_struct_0(k16_borsuk_1(A,B)),k17_borsuk_1(A,B),C)))))))) # label(t70_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10534 (all A all B (-v3_struct_0(A) & -v3_struct_0(B) & l1_pre_topc(B) & v2_pre_topc(B) & l1_pre_topc(A) & v2_pre_topc(A) -> -v3_struct_0(k6_borsuk_1(A,B)) & v2_pre_topc(k6_borsuk_1(A,B)) & v1_pre_topc(k6_borsuk_1(A,B)))) # label(fc2_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10535 (all A all B (v2_pre_topc(B) & l1_pre_topc(B) & l1_pre_topc(A) & v2_pre_topc(A) -> v1_pre_topc(k6_borsuk_1(A,B)) & l1_pre_topc(k6_borsuk_1(A,B)) & v2_pre_topc(k6_borsuk_1(A,B)))) # label(dt_k6_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10536 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v1_xboole_0(C) & m1_eqrel_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (-r2_hidden(D,u1_struct_0(B)) -> k1_struct_0(A,D) = k8_funct_2(u1_struct_0(A),u1_struct_0(k16_borsuk_1(A,k18_borsuk_1(A,B,C))),k17_borsuk_1(A,k18_borsuk_1(A,B,C)),D)))))))))) # label(t77_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10537 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,A) -> k2_funcop_1(B,C) = k1_borsuk_1(A,B,C))) # label(redefinition_k1_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10538 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (exists B (v1_pre_topc(B) & v1_borsuk_1(B,A) & v2_pre_topc(B) & -v3_struct_0(B) & m1_pre_topc(B,A))))) # label(rc4_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10539 (all A all B all C (v2_pre_topc(A) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) & v2_pre_topc(B) & l1_pre_topc(A) -> m1_subset_1(k11_borsuk_1(A,B,C),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B))))))) # label(dt_k11_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10540 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_eqrel_1(C,u1_struct_0(B)) & -v1_xboole_0(C) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,u1_struct_0(B)) -> k8_funct_2(u1_struct_0(A),u1_struct_0(k16_borsuk_1(A,k18_borsuk_1(A,B,C))),k17_borsuk_1(A,k18_borsuk_1(A,B,C)),D) = k1_funct_1(k17_borsuk_1(B,C),D)))))))))) # label(t76_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10541 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (v1_funct_1(D) & v5_pre_topc(D,B,A) & m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) -> (all E (m1_connsp_2(E,A,C) -> m2_connsp_2(k5_pre_topc(B,A,D,E),B,k5_pre_topc(B,A,D,k1_struct_0(A,C))))))))))))) # label(t38_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10542 (all A all B all C all D (v1_funct_2(C,k1_pcomps_1(A),k1_pcomps_1(B)) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_relset_1(C,k1_pcomps_1(A),k1_pcomps_1(B)) & v1_funct_1(C) -> k9_relat_1(C,D) = k14_borsuk_1(A,B,C,D))) # label(redefinition_k14_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10543 (all A all B all C (v2_pre_topc(A) & -v3_struct_0(B) & v1_borsuk_1(B,A) & m1_pre_topc(B,A) & v2_borsuk_1(C,B) & m1_borsuk_1(C,B) & l1_pre_topc(A) & -v3_struct_0(A) -> k20_borsuk_1(A,B,C) = k18_borsuk_1(A,B,C))) # label(redefinition_k20_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10544 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) -> r1_tarski(k5_setfam_1(u1_struct_0(k6_borsuk_1(A,B)),k11_borsuk_1(A,B,C)),C))))))) # label(t53_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10545 $T # label(t34_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10546 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(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)) -> (v3_borsuk_1(C,A,B) <-> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,u1_struct_0(B)) -> k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D) = D)))))))))) # label(d19_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10547 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(r2_hidden(B,k15_borsuk_1(A)) & (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_struct_0(A,C) != B))))))) # label(t68_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10548 $T # label(t40_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10549 (all A all B (v2_pre_topc(B) & l1_pre_topc(B) & -v3_struct_0(B) & l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> v1_funct_1(k13_borsuk_1(A,B)) & m2_relset_1(k13_borsuk_1(A,B),k1_pcomps_1(u1_struct_0(k6_borsuk_1(A,B))),k1_pcomps_1(u1_struct_0(B))) & v1_funct_2(k13_borsuk_1(A,B),k1_pcomps_1(u1_struct_0(k6_borsuk_1(A,B))),k1_pcomps_1(u1_struct_0(B))))) # label(dt_k13_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10550 $T # label(t43_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10551 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v1_borsuk_1(B,A) & m1_pre_topc(B,A) -> (all C (m1_borsuk_1(C,B) & v2_borsuk_1(C,B) -> (r1_borsuk_1(A,B) -> r1_borsuk_1(k16_borsuk_1(A,k20_borsuk_1(A,B,C)),k21_borsuk_1(A,B,C))))))))) # label(t84_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10552 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> v5_pre_topc(k3_borsuk_1(B,A,C),B,A))))))) # label(t36_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10553 (all A all B all C all D (v1_funct_1(C) & v1_funct_2(C,k1_pcomps_1(A),k1_pcomps_1(B)) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_relset_1(C,k1_pcomps_1(A),k1_pcomps_1(B)) -> m1_subset_1(k14_borsuk_1(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))))) # label(dt_k14_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10554 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B)))) -> ((all E (r2_hidden(E,D) -> r1_tarski(E,C) & (exists F ((exists G (m1_subset_1(G,k1_zfmisc_1(B)) & E = k12_mcart_1(A,B,F,G))) & m1_subset_1(F,k1_zfmisc_1(A)))))) -> r1_tarski(k2_zfmisc_1(k3_tarski(k9_relat_1(k1_funct_3(k9_funct_3(A,B)),D)),k1_setfam_1(k9_relat_1(k1_funct_3(k10_funct_3(A,B)),D))),C)))))) # label(t14_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10555 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_connsp_2(E,A,C) -> (all F (m1_connsp_2(F,B,D) -> m1_connsp_2(k7_borsuk_1(A,B,E,F),k6_borsuk_1(A,B),k8_borsuk_1(A,B,C,D)))))))))))))) # label(t48_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.87	10556 (all A all 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) != k1_xboole_0 -> D = k2_funct_2(k2_zfmisc_1(A,B),B,k10_funct_3(A,B),k12_mcart_1(A,B,C,D)) & C = k2_funct_2(k2_zfmisc_1(A,B),A,k9_funct_3(A,B),k12_mcart_1(A,B,C,D))))))) # label(t12_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10557 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v1_xboole_0(C) & m1_eqrel_1(C,u1_struct_0(B)) -> (all D (r2_hidden(D,u1_struct_0(B)) -> r2_hidden(k1_funct_1(k17_borsuk_1(A,k18_borsuk_1(A,B,C)),D),u1_struct_0(k16_borsuk_1(B,C))))))))))) # label(t80_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10558 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) -> (v3_pre_topc(C,k6_borsuk_1(A,B)) <-> (exists D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B))))) & (all E -((all F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) -> (all G (m1_subset_1(G,k1_zfmisc_1(u1_struct_0(B))) -> -(E = k12_mcart_1(u1_struct_0(A),u1_struct_0(B),F,G) & v3_pre_topc(F,A) & v3_pre_topc(G,B)))))) & r2_hidden(E,D))) & C = k5_setfam_1(u1_struct_0(k6_borsuk_1(A,B)),D)))))))))) # label(t45_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10559 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) -> v1_tops_2(k11_borsuk_1(A,B,C),k6_borsuk_1(A,B)))))))) # label(t51_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10560 (all A all B all C all D all E all F (-v3_struct_0(A) & l1_pre_topc(A) & -v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m2_connsp_2(E,A,C) & m1_connsp_2(F,B,D) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v2_pre_topc(A) -> k2_zfmisc_1(E,F) = k10_borsuk_1(A,B,C,D,E,F))) # label(redefinition_k10_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10561 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_eqrel_1(C,u1_struct_0(B)) & -v1_xboole_0(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(r2_hidden(D,k18_borsuk_1(A,B,C)) & (all E (m1_subset_1(E,u1_struct_0(A)) -> -(-r2_hidden(E,k2_pre_topc(B)) & k1_struct_0(A,E) = D))) & -r2_hidden(D,C)))))))))) # label(t74_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10562 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) -> k11_borsuk_1(A,B,C) = a_3_1_borsuk_1(A,B,C))))))) # label(d6_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10563 (all A all B all C all D all E (v2_pre_topc(A) & -v3_struct_0(C) & v5_pre_topc(D,A,B) & m1_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v5_pre_topc(E,B,C) & m1_relset_1(E,u1_struct_0(B),u1_struct_0(C)) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(D) & l1_pre_topc(C) & v2_pre_topc(C) & l1_pre_topc(B) & v2_pre_topc(B) & -v3_struct_0(B) & l1_pre_topc(A) & -v3_struct_0(A) -> k5_relat_1(D,E) = k4_borsuk_1(A,B,C,D,E))) # label(redefinition_k4_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10564 (all A all B all C all D all E (-v3_struct_0(A) & l1_pre_topc(A) & -v3_struct_0(C) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(D,A,B) & v5_pre_topc(E,B,C) & m1_relset_1(E,u1_struct_0(B),u1_struct_0(C)) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v1_funct_1(E) & m1_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(D) & l1_pre_topc(C) & v2_pre_topc(C) & l1_pre_topc(B) & v2_pre_topc(B) & -v3_struct_0(B) & v2_pre_topc(A) -> v5_pre_topc(k4_borsuk_1(A,B,C,D,E),A,C) & m2_relset_1(k4_borsuk_1(A,B,C,D,E),u1_struct_0(A),u1_struct_0(C)) & v1_funct_2(k4_borsuk_1(A,B,C,D,E),u1_struct_0(A),u1_struct_0(C)) & v1_funct_1(k4_borsuk_1(A,B,C,D,E)))) # label(dt_k4_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10565 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & m1_eqrel_1(B,A) -> (all C (v1_funct_2(C,A,B) & m2_relset_1(C,A,B) & v1_funct_1(C) -> ((all D (m1_subset_1(D,A) -> r2_hidden(D,k8_funct_2(A,B,C,D)))) <-> k2_borsuk_1(A,B) = C))))))) # label(d1_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10566 (all A all B (v2_pre_topc(A) & -v1_xboole_0(B) & m1_eqrel_1(B,u1_struct_0(A)) & l1_pre_topc(A) & -v3_struct_0(A) -> v1_pre_topc(k16_borsuk_1(A,B)) & v2_pre_topc(k16_borsuk_1(A,B)) & -v3_struct_0(k16_borsuk_1(A,B)))) # label(fc4_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10567 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & m1_eqrel_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> ((all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (r2_hidden(D,B) -> r1_xboole_0(D,C) | r1_tarski(D,C)))) -> C = k3_funct_2(A,B,k2_borsuk_1(A,B),k2_funct_2(A,B,k2_borsuk_1(A,B),C))))))))) # label(t33_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10568 (all A all B all C (-v3_struct_0(A) & v2_pre_topc(A) & -v3_struct_0(B) & v1_borsuk_1(B,A) & m1_pre_topc(B,A) & v2_borsuk_1(C,B) & m1_borsuk_1(C,B) & l1_pre_topc(A) -> m1_pre_topc(k21_borsuk_1(A,B,C),k16_borsuk_1(A,k20_borsuk_1(A,B,C))) & v1_borsuk_1(k21_borsuk_1(A,B,C),k16_borsuk_1(A,k20_borsuk_1(A,B,C))) & v1_pre_topc(k21_borsuk_1(A,B,C)))) # label(dt_k21_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10569 (all A (l1_struct_0(A) -> k15_borsuk_1(A) = k8_eqrel_1(u1_struct_0(A),k6_partfun1(u1_struct_0(A))))) # label(d9_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10570 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v1_xboole_0(C) & m1_eqrel_1(C,u1_struct_0(B)) -> k2_xboole_0(C,a_2_3_borsuk_1(A,B)) = k18_borsuk_1(A,B,C))))))) # label(d12_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10571 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_eqrel_1(B,u1_struct_0(A)) -> (all C (v1_pre_topc(C) & l1_pre_topc(C) & v2_pre_topc(C) -> (C = k16_borsuk_1(A,B) <-> u1_struct_0(C) = B & a_2_2_borsuk_1(A,B) = u1_pre_topc(C)))))))) # label(d10_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10572 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) & -v3_struct_0(B) -> k1_funct_1(k13_borsuk_1(A,B),k1_xboole_0) = k1_xboole_0 & k1_xboole_0 = k1_funct_1(k12_borsuk_1(A,B),k1_xboole_0))))) # label(t66_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10573 (all A all B all C all D (-v3_struct_0(A) & -v3_struct_0(B) & v2_pre_topc(B) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(C,u1_struct_0(A)) & l1_pre_topc(B) & l1_pre_topc(A) & v2_pre_topc(A) -> k4_tarski(C,D) = k8_borsuk_1(A,B,C,D))) # label(redefinition_k8_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10574 (all A all B all C all D (v2_pre_topc(A) & l1_pre_topc(A) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v2_pre_topc(B) -> k2_zfmisc_1(C,D) = k7_borsuk_1(A,B,C,D))) # label(redefinition_k7_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10575 (all A all B all C (l1_pre_topc(B) & m1_eqrel_1(C,u1_struct_0(B)) & v2_pre_topc(B) -> (r2_hidden(A,a_2_2_borsuk_1(B,C)) <-> (exists D (m1_subset_1(D,k1_zfmisc_1(C)) & A = D & r2_hidden(k3_tarski(D),u1_pre_topc(B))))))) # label(fraenkel_a_2_2_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10576 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,B) -> (all E (v1_funct_1(E) & v1_funct_2(E,A,B) & m2_relset_1(E,A,B) -> (all F (v1_funct_1(F) & v1_funct_2(F,B,C) & m2_relset_1(F,B,C) -> r1_tarski(k3_funct_2(A,B,E,k6_domain_1(B,D)),k3_funct_2(A,C,k7_funct_2(A,B,C,E,F),k6_domain_1(C,k8_funct_2(B,C,F,D)))))))))))))))) # label(t20_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10577 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m1_subset_1(C,u1_struct_0(k6_borsuk_1(A,B))) -> (exists D (m1_subset_1(D,u1_struct_0(A)) & (exists E (m1_subset_1(E,u1_struct_0(B)) & C = k8_borsuk_1(A,B,D,E))))))))))) # label(t50_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10578 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (C = D -> (v6_compts_1(D,B) <-> v6_compts_1(C,A))))))))))) # label(t42_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10579 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (k7_borsuk_1(A,B,C,D) != k1_xboole_0 -> C = k8_funct_2(k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B))),k1_pcomps_1(u1_struct_0(A)),k12_borsuk_1(A,B),k7_borsuk_1(A,B,C,D)) & D = k8_funct_2(k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B))),k1_pcomps_1(u1_struct_0(B)),k13_borsuk_1(A,B),k7_borsuk_1(A,B,C,D))))))))))) # label(t65_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10580 (all A all B all C (v2_pre_topc(A) & v1_borsuk_1(B,A) & m1_pre_topc(B,A) & v2_borsuk_1(C,B) & m1_borsuk_1(C,B) & -v3_struct_0(B) & l1_pre_topc(A) & -v3_struct_0(A) -> m1_borsuk_1(k20_borsuk_1(A,B,C),A) & v2_borsuk_1(k20_borsuk_1(A,B,C),A))) # label(dt_k20_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10581 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) -> (all C (v5_pre_topc(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> r1_tarski(k5_pre_topc(A,B,C,k1_tops_1(B,D)),k1_tops_1(A,k5_pre_topc(A,B,C,D))))))))))) # label(t37_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10582 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) & -v3_struct_0(B) -> k2_funct_3(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(B),k10_funct_3(u1_struct_0(A),u1_struct_0(B))) = k13_borsuk_1(A,B))))) # label(d8_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10583 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B))))) -> (k1_xboole_0 = k14_borsuk_1(u1_struct_0(k6_borsuk_1(A,B)),u1_struct_0(A),k12_borsuk_1(A,B),C) | k14_borsuk_1(u1_struct_0(k6_borsuk_1(A,B)),u1_struct_0(B),k13_borsuk_1(A,B),C) = k1_xboole_0 -> C = k1_xboole_0))))))) # label(t61_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10584 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_eqrel_1(C,u1_struct_0(B)) & -v1_xboole_0(C) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (k8_funct_2(u1_struct_0(A),u1_struct_0(k16_borsuk_1(A,k18_borsuk_1(A,B,C))),k17_borsuk_1(A,k18_borsuk_1(A,B,C)),E) = k8_funct_2(u1_struct_0(A),u1_struct_0(k16_borsuk_1(A,k18_borsuk_1(A,B,C))),k17_borsuk_1(A,k18_borsuk_1(A,B,C)),D) -> E = D | r2_hidden(D,u1_struct_0(B))))))))))))) # label(t78_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10585 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_eqrel_1(B,u1_struct_0(A)) & -v1_xboole_0(B) -> k2_relat_1(k17_borsuk_1(A,B)) = u1_struct_0(k16_borsuk_1(A,B)))))) # label(t72_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10586 (all A all B all C (l1_struct_0(A) & -v3_struct_0(B) & m1_subset_1(C,u1_struct_0(B)) & l1_struct_0(B) -> m2_relset_1(k3_borsuk_1(A,B,C),u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(k3_borsuk_1(A,B,C),u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(k3_borsuk_1(A,B,C)))) # label(dt_k3_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10587 (all A all B all C all D (l1_pre_topc(B) & v2_pre_topc(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(B,C)))) & l1_pre_topc(C) & v2_pre_topc(B) -> (r2_hidden(A,a_3_1_borsuk_1(B,C,D)) <-> (exists E exists F (r1_tarski(k7_borsuk_1(B,C,E,F),D) & v3_pre_topc(E,B) & v3_pre_topc(F,C) & k7_borsuk_1(B,C,E,F) = A & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(C))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B)))))))) # label(fraenkel_a_3_1_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10588 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) -> (r1_tarski(C,D) -> r1_tarski(k11_borsuk_1(A,B,C),k11_borsuk_1(A,B,D))))))))))) # label(t52_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10589 (all A all B (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v2_pre_topc(B) & l1_pre_topc(B) & -v3_struct_0(B) -> v1_funct_1(k12_borsuk_1(A,B)) & v1_funct_2(k12_borsuk_1(A,B),k1_pcomps_1(u1_struct_0(k6_borsuk_1(A,B))),k1_pcomps_1(u1_struct_0(A))) & m2_relset_1(k12_borsuk_1(A,B),k1_pcomps_1(u1_struct_0(k6_borsuk_1(A,B))),k1_pcomps_1(u1_struct_0(A))))) # label(dt_k12_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10590 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v1_xboole_0(C) & m1_eqrel_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (-r2_hidden(D,u1_struct_0(B)) -> r2_hidden(k1_struct_0(A,D),k18_borsuk_1(A,B,C))))))))))) # label(t75_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10591 (all A all B all C (r1_tarski(A,k2_zfmisc_1(B,C)) -> k1_funct_1(k1_funct_3(k9_funct_3(B,C)),A) = k2_funct_2(k2_zfmisc_1(B,C),B,k9_funct_3(B,C),A))) # label(t9_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10592 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> k3_funct_2(A,A,k6_partfun1(A),B) = B)) # label(t4_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10593 (all A all B all C all D all E all F (l1_pre_topc(A) & v2_pre_topc(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) & m1_connsp_2(F,B,D) & m1_connsp_2(E,A,C) & l1_pre_topc(B) & -v3_struct_0(B) & v2_pre_topc(A) & -v3_struct_0(A) -> m1_connsp_2(k9_borsuk_1(A,B,C,D,E,F),k6_borsuk_1(A,B),k8_borsuk_1(A,B,C,D)))) # label(dt_k9_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10594 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v1_xboole_0(B) & m1_eqrel_1(B,u1_struct_0(A)) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(C,B) -> (all D (m2_connsp_2(D,A,C) -> (exists E (v3_pre_topc(E,A) & r1_tarski(C,E) & r1_tarski(E,D) & (all F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(F,B) -> r1_xboole_0(F,E) | r1_tarski(F,E)))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A)))))))))) <-> m1_borsuk_1(B,A)))))) # label(d13_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10595 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (v6_compts_1(D,B) -> (all E (m2_connsp_2(E,k6_borsuk_1(B,A),k7_borsuk_1(B,A,D,k1_struct_0(A,C))) -> (exists F (m2_connsp_2(F,B,D) & (exists G (r1_tarski(k10_borsuk_1(B,A,D,C,F,G),E) & m1_connsp_2(G,A,C)))))))))))))))) # label(t67_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10596 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & m1_eqrel_1(B,A) -> (all C (m2_subset_1(C,k1_zfmisc_1(A),B) -> (exists D (m1_subset_1(D,A) & C = k8_funct_2(A,B,k2_borsuk_1(A,B),D))))))))) # label(t32_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10597 (all A all B all C all D (v2_pre_topc(B) & l1_pre_topc(C) & l1_pre_topc(D) & v2_pre_topc(D) & v1_pre_topc(D) & v2_pre_topc(C) & l1_pre_topc(B) -> ((exists E (m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(D)))) & r1_tarski(E,a_2_1_borsuk_1(B,C)) & k5_setfam_1(u1_struct_0(D),E) = A)) <-> r2_hidden(A,a_3_0_borsuk_1(B,C,D))))) # label(fraenkel_a_3_0_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10598 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_eqrel_1(B,u1_struct_0(A)) & -v1_xboole_0(B) -> k2_borsuk_1(u1_struct_0(A),B) = k17_borsuk_1(A,B))))) # label(d11_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10599 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B))))) -> -(v1_finset_1(C) & r1_tarski(C,k14_borsuk_1(u1_struct_0(k6_borsuk_1(A,B)),u1_struct_0(A),k12_borsuk_1(A,B),D)) & (all E (m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B))))) -> -(v1_finset_1(E) & C = k14_borsuk_1(u1_struct_0(k6_borsuk_1(A,B)),u1_struct_0(A),k12_borsuk_1(A,B),E) & r1_tarski(E,D))))))))))))) # label(t64_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10600 (all A all B all C (v2_pre_topc(A) & -v3_struct_0(B) & m1_pre_topc(B,A) & v2_borsuk_1(C,B) & m1_borsuk_1(C,B) & v1_borsuk_1(B,A) & l1_pre_topc(A) & -v3_struct_0(A) -> k21_borsuk_1(A,B,C) = k16_borsuk_1(B,C))) # label(redefinition_k21_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10601 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B))))) -> (all D -(r2_hidden(D,k2_funct_2(k1_pcomps_1(u1_struct_0(k6_borsuk_1(A,B))),k1_pcomps_1(u1_struct_0(A)),k12_borsuk_1(A,B),C)) & (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) -> -(D = k2_funct_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(A),k9_funct_3(u1_struct_0(A),u1_struct_0(B)),E) & r2_hidden(E,C)))))))))))) # label(t57_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10602 (all A all B all C all D all E (-v3_struct_0(A) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(B)) & v1_funct_1(D) & m1_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & m1_connsp_2(E,B,C) & v5_pre_topc(D,A,B) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & -v3_struct_0(B) & l1_pre_topc(A) & v2_pre_topc(A) -> k10_relat_1(D,E) = k5_borsuk_1(A,B,C,D,E))) # label(redefinition_k5_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10603 (all A all B (-v3_struct_0(A) & -v1_xboole_0(B) & m1_eqrel_1(B,u1_struct_0(A)) & l1_pre_topc(A) & v2_pre_topc(A) -> v1_funct_1(k17_borsuk_1(A,B)) & m2_relset_1(k17_borsuk_1(A,B),u1_struct_0(A),u1_struct_0(k16_borsuk_1(A,B))) & v5_pre_topc(k17_borsuk_1(A,B),A,k16_borsuk_1(A,B)) & v1_funct_2(k17_borsuk_1(A,B),u1_struct_0(A),u1_struct_0(k16_borsuk_1(A,B))))) # label(dt_k17_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10604 (all A all B all C (-v3_struct_0(A) & v2_pre_topc(A) & -v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(B)) & l1_pre_topc(A) -> -v1_xboole_0(k3_borsuk_1(A,B,C)) & v1_relat_1(k3_borsuk_1(A,B,C)) & v1_funct_1(k3_borsuk_1(A,B,C)) & v1_partfun1(k3_borsuk_1(A,B,C),u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(k3_borsuk_1(A,B,C),A,B) & v1_funct_2(k3_borsuk_1(A,B,C),u1_struct_0(A),u1_struct_0(B)))) # label(fc1_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10605 $T # label(t3_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10606 (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 (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) -> k5_setfam_1(B,k2_funct_2(k1_zfmisc_1(A),k1_zfmisc_1(B),k2_funct_3(A,B,C),D)) = k2_funct_2(A,B,C,k5_setfam_1(A,D)))))))) # label(t16_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10607 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,A) -> v1_funct_1(k1_borsuk_1(A,B,C)) & m2_relset_1(k1_borsuk_1(A,B,C),B,A) & v1_funct_2(k1_borsuk_1(A,B,C),B,A))) # label(dt_k1_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10608 $T # label(t2_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10609 (all A (l1_struct_0(A) -> (all B (-v3_struct_0(B) & l1_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k3_borsuk_1(A,B,C) = k1_borsuk_1(u1_struct_0(B),u1_struct_0(A),C))))))) # label(d3_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10610 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B))))) -> (v1_tops_2(C,k6_borsuk_1(A,B)) -> v1_tops_2(k14_borsuk_1(u1_struct_0(k6_borsuk_1(A,B)),u1_struct_0(B),k13_borsuk_1(A,B),C),B) & v1_tops_2(k14_borsuk_1(u1_struct_0(k6_borsuk_1(A,B)),u1_struct_0(A),k12_borsuk_1(A,B),C),A)))))))) # label(t60_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10611 $T # label(t7_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10612 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (v3_pre_topc(C,A) & v3_pre_topc(D,B) -> v3_pre_topc(k7_borsuk_1(A,B,C,D),k6_borsuk_1(A,B))))))))))) # label(t46_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10613 (all A all B all C (-v3_struct_0(B) & v2_pre_topc(B) & -v3_struct_0(C) & m1_pre_topc(C,B) & l1_pre_topc(B) -> (r2_hidden(A,a_2_3_borsuk_1(B,C)) <-> (exists D (-r2_hidden(D,u1_struct_0(C)) & A = k1_struct_0(B,D) & m1_subset_1(D,u1_struct_0(B))))))) # label(fraenkel_a_2_3_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10614 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) -> (all C (v2_pre_topc(C) & l1_pre_topc(C) & v1_pre_topc(C) -> (k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)) = u1_struct_0(C) & u1_pre_topc(C) = a_3_0_borsuk_1(A,B,C) <-> C = k6_borsuk_1(A,B)))))))) # label(d5_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10615 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_borsuk_1(B,A) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(C,B) -> v6_compts_1(C,A)))) <-> v2_borsuk_1(B,A)))))) # label(d15_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10616 $T # label(t44_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10617 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (exists B m1_borsuk_1(B,A)))) # label(existence_m1_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10618 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_eqrel_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(B)) -> (r2_hidden(C,u1_pre_topc(k16_borsuk_1(A,B))) <-> r2_hidden(k3_tarski(C),u1_pre_topc(A))))))))) # label(t69_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10619 (all A all B (m1_eqrel_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(B)) -> (all D (m1_subset_1(D,k1_zfmisc_1(B)) -> k3_tarski(k5_subset_1(B,C,D)) = k3_xboole_0(k3_tarski(C),k3_tarski(D)))))))) # label(t26_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10620 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(B)) -> m1_subset_1(k3_tarski(C),k1_zfmisc_1(A)))))))) # label(t25_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10621 (all A all B all C (-v3_struct_0(A) & v2_pre_topc(A) & -v1_xboole_0(C) & m1_eqrel_1(C,u1_struct_0(B)) & m1_pre_topc(B,A) & -v3_struct_0(B) & l1_pre_topc(A) -> -v1_xboole_0(k18_borsuk_1(A,B,C)) & m1_eqrel_1(k18_borsuk_1(A,B,C),u1_struct_0(A)))) # label(dt_k18_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10622 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) -> ((exists D (m1_subset_1(D,k1_zfmisc_1(B)) & r2_hidden(D,C) & A = k3_tarski(D))) <-> r2_hidden(A,a_2_0_borsuk_1(B,C))))) # label(fraenkel_a_2_0_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10623 (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) & v1_funct_2(D,A,B) & v1_funct_1(D) -> (all E (m1_subset_1(E,k1_zfmisc_1(A)) -> (all F (m1_subset_1(F,k1_zfmisc_1(C)) -> k2_funct_2(k2_zfmisc_1(A,C),k2_zfmisc_1(B,C),k16_funct_3(A,C,B,C,D,k6_partfun1(C)),k12_mcart_1(A,C,E,F)) = k12_mcart_1(B,C,k2_funct_2(A,B,D,E),F))))))))))))) # label(t23_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10624 (all A (l1_pre_topc(A) -> ((all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k5_pcomps_1(k8_metric_1)))) -> (B = k1_rcomp_1(np__0,np__1) -> k3_pre_topc(k5_pcomps_1(k8_metric_1),B) = A))) <-> k22_borsuk_1 = A))) # label(d16_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10625 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> m1_borsuk_1(k15_borsuk_1(A),A))) # label(t82_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10626 (all A all 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) != k1_xboole_0 -> k1_funct_1(k1_funct_3(k10_funct_3(A,B)),k12_mcart_1(A,B,C,D)) = D & k1_funct_1(k1_funct_3(k9_funct_3(A,B)),k12_mcart_1(A,B,C,D)) = C))))) # label(t13_borsuk_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10627 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & v4_rlvect_1(B) -> g1_grcat_1(A,B,k8_grcat_1(A,B)) = k12_grcat_1(A,B))))) # label(d17_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10628 (all A (-v1_xboole_0(A) & v5_grcat_1(A) -> (all B (m3_grcat_1(B,A) -> v3_grcat_1(B) & l1_grcat_1(B))))) # label(dt_m3_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10629 (exists A (v5_grcat_1(A) & -v1_xboole_0(A))) # label(rc6_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10630 (all A (v2_grcat_1(A) & l1_grcat_1(A) & v3_grcat_1(A) -> (all B (v2_grcat_1(B) & v3_grcat_1(B) & l1_grcat_1(B) -> -((all C (v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & l1_rlvect_1(C) & -v3_struct_0(C) -> (all D (-v3_struct_0(D) & v4_rlvect_1(D) & v5_rlvect_1(D) & l1_rlvect_1(D) & v6_rlvect_1(D) -> (all E (v5_rlvect_1(E) & l1_rlvect_1(E) & v6_rlvect_1(E) & v4_rlvect_1(E) & -v3_struct_0(E) -> (all F (v1_funct_2(F,u1_struct_0(C),u1_struct_0(D)) & m2_relset_1(F,u1_struct_0(C),u1_struct_0(D)) & v1_funct_1(F) -> (all G (v1_funct_1(G) & m2_relset_1(G,u1_struct_0(D),u1_struct_0(E)) & v1_funct_2(G,u1_struct_0(D),u1_struct_0(E)) -> -(g1_grcat_1(C,E,k7_funct_2(u1_struct_0(C),u1_struct_0(D),u1_struct_0(E),F,G)) = k15_grcat_1(B,A) & g1_grcat_1(D,E,G) = B & A = g1_grcat_1(C,D,F)))))))))))) & k10_grcat_1(A) = k9_grcat_1(B)))))) # label(t30_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10631 (all A (l1_grcat_1(A) -> u3_grcat_1(A) = k11_grcat_1(A))) # label(d16_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10632 (all A all B (-v1_xboole_0(A) & v4_grcat_1(A) & m1_subset_1(B,k20_grcat_1(A)) -> k21_grcat_1(A,B) = k9_grcat_1(B))) # label(redefinition_k21_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10633 (all A (v1_classes2(A) & -v1_xboole_0(A) -> m1_subset_1(k31_grcat_1(A),k1_zfmisc_1(u1_cat_1(k30_grcat_1(A)))))) # label(dt_k31_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10634 $T # label(d3_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10635 (all A all B (v2_cat_1(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) & l1_cat_1(A) -> v1_funct_1(k2_grcat_1(A,B)) & v1_funct_2(k2_grcat_1(A,B),k1_grcat_1(A,B),B) & m2_relset_1(k2_grcat_1(A,B),k1_grcat_1(A,B),B))) # label(dt_k2_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10636 (all A (-v1_xboole_0(A) & v1_classes2(A) -> v2_cat_1(k32_grcat_1(A)) & v1_cat_1(k32_grcat_1(A)))) # label(fc15_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10637 (all A (v1_classes2(A) & -v1_xboole_0(A) -> v2_cat_1(k28_grcat_1(A)) & v1_cat_1(k28_grcat_1(A)))) # label(fc11_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10638 (all A (-v3_struct_0(A) & l1_rlvect_1(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & l1_rlvect_1(B) -> v1_grcat_1(k8_grcat_1(A,B),A,B))))) # label(t16_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.32/118.88	10639 (all A (l1_grcat_1(A) -> (v3_grcat_1(A) <-> v1_grcat_1(k11_grcat_1(A),k9_grcat_1(A),k10_grcat_1(A))))) # label(d18_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10640 (all A (l1_struct_0(A) -> (all B (l1_struct_0(B) -> (all C (m5_grcat_1(C,A,B) <-> (all D (r2_hidden(D,C) -> v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(D))))))))) # label(d25_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10641 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,k20_grcat_1(A)) & v4_grcat_1(A) -> k22_grcat_1(A,B) = k10_grcat_1(B))) # label(redefinition_k22_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10642 (all A (l1_grcat_1(A) & v3_grcat_1(A) -> (exists B (v5_rlvect_1(B) & v6_rlvect_1(B) & (exists C (-v3_struct_0(C) & m1_grcat_1(A,B,C) & l1_rlvect_1(C) & v6_rlvect_1(C) & v5_rlvect_1(C) & v4_rlvect_1(C))) & l1_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B))))) # label(t24_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10643 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) -> (all C (v2_grcat_1(C) & l1_grcat_1(C) -> (v1_grcat_1(k11_grcat_1(C),k9_grcat_1(C),k10_grcat_1(C)) & B = k10_grcat_1(C) & k9_grcat_1(C) = A -> m1_grcat_1(C,A,B) & v2_grcat_1(C)))))))) # label(t19_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10644 $T # label(t27_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10645 (all A all B (m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) & -v1_xboole_0(B) & l1_cat_1(A) & v2_cat_1(A) -> -v1_xboole_0(k1_grcat_1(A,B)))) # label(fc2_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10646 (all A (v2_grcat_1(A) & v3_grcat_1(A) & l1_grcat_1(A) -> (all B (v2_grcat_1(B) & v3_grcat_1(B) & l1_grcat_1(B) -> (all C (l1_grcat_1(C) & v3_grcat_1(C) & v2_grcat_1(C) -> (k10_grcat_1(B) = k9_grcat_1(C) & k9_grcat_1(B) = k10_grcat_1(A) -> k15_grcat_1(k15_grcat_1(C,B),A) = k15_grcat_1(C,k15_grcat_1(B,A))))))))) # label(t33_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10647 $T # label(d4_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10648 (all A all B (v4_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(B) & l1_rlvect_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) & l1_rlvect_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> m4_grcat_1(k18_grcat_1(A,B),A,B))) # label(dt_k18_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10649 (all A all B (r2_hidden(B,f2_s1_grcat_1) & p1_s1_grcat_1(A,B) & r2_hidden(A,f1_s1_grcat_1) -> r2_hidden(f4_s1_grcat_1(A,B),f3_s1_grcat_1))) -> (exists A (m2_relset_1(A,k2_zfmisc_1(f1_s1_grcat_1,f2_s1_grcat_1),f3_s1_grcat_1) & (all B all C (r2_hidden(k4_tarski(B,C),k1_relat_1(A)) -> k1_funct_1(A,k4_tarski(B,C)) = f4_s1_grcat_1(B,C))) & (all B all C (r2_hidden(k4_tarski(B,C),k1_relat_1(A)) <-> r2_hidden(B,f1_s1_grcat_1) & p1_s1_grcat_1(B,C) & r2_hidden(C,f2_s1_grcat_1))) & v1_funct_1(A))) # label(s1_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10650 (all A all B all C (l1_struct_0(A) & -v3_struct_0(B) & l1_struct_0(B) & m5_grcat_1(C,A,B) & -v1_xboole_0(C) -> (all D (m6_grcat_1(D,A,B,C) -> m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(D))))) # label(dt_m6_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10651 (all A all B (m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) & -v1_xboole_0(B) & l1_cat_1(A) & v2_cat_1(A) -> v1_funct_1(k4_grcat_1(A,B)) & m2_relset_1(k4_grcat_1(A,B),k12_mcart_1(u2_cat_1(A),u2_cat_1(A),k1_grcat_1(A,B),k1_grcat_1(A,B)),k1_grcat_1(A,B)))) # label(dt_k4_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10652 (all A (l1_grcat_1(A) -> (all B (v4_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (v6_rlvect_1(C) & l1_rlvect_1(C) & v5_rlvect_1(C) & v4_rlvect_1(C) & -v3_struct_0(C) -> (all D (v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m2_relset_1(D,u1_struct_0(B),u1_struct_0(C)) & v1_funct_1(D) -> (A = g1_grcat_1(B,C,D) -> D = k11_grcat_1(A) & C = k10_grcat_1(A) & k9_grcat_1(A) = B))))))))) # label(t17_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10653 (all A all B (l1_struct_0(B) & l1_struct_0(A) -> (exists C m5_grcat_1(C,A,B)))) # label(existence_m5_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10654 (all A (l1_grcat_1(A) -> u2_grcat_1(A) = k10_grcat_1(A))) # label(d15_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10655 (all A (v4_grcat_1(A) & -v1_xboole_0(A) -> v1_funct_2(k25_grcat_1(A),k20_grcat_1(A),A) & m2_relset_1(k25_grcat_1(A),k20_grcat_1(A),A) & v1_funct_1(k25_grcat_1(A)))) # label(dt_k25_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10656 (all A (-v1_xboole_0(A) & v1_classes2(A) -> r2_hidden(k2_algstr_1,k31_grcat_1(A)))) # label(t54_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10657 (all A (l2_struct_0(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l1_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k8_funct_2(u1_struct_0(A),u1_struct_0(B),k8_grcat_1(A,B),C) = k1_rlvect_1(B))))))) # label(t15_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10658 (all A all B (l1_struct_0(B) & l1_struct_0(A) -> m5_grcat_1(k17_grcat_1(A,B),A,B))) # label(dt_k17_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10659 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l1_rlvect_1(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) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> k2_rlvect_1(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,k2_rlvect_1(A,D,E)))))) <-> v1_grcat_1(C,A,B)))))))) # label(d13_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10660 (all A all B (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & -v3_struct_0(B) & v5_rlvect_1(B) & l1_rlvect_1(B) & v6_rlvect_1(B) & v4_rlvect_1(B) & l1_rlvect_1(A) & -v3_struct_0(A) -> (exists C (m1_grcat_1(C,A,B) & v2_grcat_1(C) & v3_grcat_1(C))))) # label(rc3_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10661 (all A (l1_grcat_1(A) -> v5_rlvect_1(k10_grcat_1(A)) & l1_rlvect_1(k10_grcat_1(A)) & v6_rlvect_1(k10_grcat_1(A)) & v4_rlvect_1(k10_grcat_1(A)) & -v3_struct_0(k10_grcat_1(A)))) # label(dt_k10_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10662 (all A (-v1_xboole_0(A) & v4_grcat_1(A) -> (all B (m2_relset_1(B,A,k20_grcat_1(A)) & v1_funct_2(B,A,k20_grcat_1(A)) & v1_funct_1(B) -> (k26_grcat_1(A) = B <-> (all C (m2_grcat_1(C,A) -> k23_grcat_1(A,C) = k8_funct_2(A,k20_grcat_1(A),B,C)))))))) # label(d34_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10663 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & -v3_struct_0(B) -> (all C (v3_grcat_1(C) & l1_grcat_1(C) -> (m1_grcat_1(C,A,B) <-> k9_grcat_1(C) = A & B = k10_grcat_1(C)))))))) # label(d19_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10664 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (m1_subset_1(B,u2_cat_1(k28_grcat_1(A))) -> (all C (m3_grcat_1(C,k20_grcat_1(k19_grcat_1(A))) -> (all D (m1_subset_1(D,u1_cat_1(k28_grcat_1(A))) -> (all E (m2_grcat_1(E,k19_grcat_1(A)) -> v2_grcat_1(B) & m3_grcat_1(B,k20_grcat_1(k19_grcat_1(A))) & m2_grcat_1(D,k19_grcat_1(A)) & m1_subset_1(E,u1_cat_1(k28_grcat_1(A))) & v1_rlvect_1(D) & m1_subset_1(C,u2_cat_1(k28_grcat_1(A))))))))))))) # label(t47_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10665 (all A all B (-v1_xboole_0(B) & v1_classes2(B) -> (r2_hidden(A,a_1_0_grcat_1(B)) <-> (exists C (m1_subset_1(C,u1_cat_1(k28_grcat_1(B))) & (exists D (v3_rlvect_1(D) & v6_rlvect_1(D) & l1_rlvect_1(D) & D = C & v5_rlvect_1(D) & v4_rlvect_1(D) & -v3_struct_0(D))) & A = C))))) # label(fraenkel_a_1_0_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10666 (all A (-v1_xboole_0(A) & v4_grcat_1(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,k20_grcat_1(A),A) & m2_relset_1(B,k20_grcat_1(A),A) -> ((all C (m3_grcat_1(C,k20_grcat_1(A)) -> k22_grcat_1(A,C) = k8_funct_2(k20_grcat_1(A),A,B,C))) <-> B = k25_grcat_1(A)))))) # label(d33_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10667 (all A (-v1_xboole_0(A) & v4_grcat_1(A) -> (all B (m3_grcat_1(B,k20_grcat_1(A)) -> (all C (m3_grcat_1(C,k20_grcat_1(A)) -> -((all D (m2_grcat_1(D,A) & v1_rlvect_1(D) -> (all E (v1_rlvect_1(E) & m2_grcat_1(E,A) -> (all F (m2_grcat_1(F,A) & v1_rlvect_1(F) -> -(m1_grcat_1(B,E,F) & m1_grcat_1(C,D,E)))))))) & k21_grcat_1(A,B) = k22_grcat_1(A,C)))))))) # label(t44_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10668 (exists A l1_grcat_1(A)) # label(existence_l1_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10669 (all A (v1_classes2(A) & -v1_xboole_0(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) -> m1_subset_1(k3_mcart_1(B,C,D),A) & m1_subset_1(k4_mcart_1(B,C,D,E),A))))))))))) # label(t3_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10670 (all A all B all C (-v3_struct_0(A) & v4_rlvect_1(A) & -v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & m4_grcat_1(C,A,B) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all D (m1_subset_1(D,C) <-> m7_grcat_1(D,A,B,C))))) # label(redefinition_m7_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10671 (all A (-v1_xboole_0(A) & v1_classes2(A) -> -v1_xboole_0(k31_grcat_1(A)))) # label(fc14_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10672 (all A (v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> v2_grcat_1(k13_grcat_1(A)) & v3_grcat_1(k13_grcat_1(A)))) # label(fc6_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10673 (all A all B all C (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v4_rlvect_1(B) & l1_rlvect_1(B) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) & v6_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all D all E all F (g1_grcat_1(A,B,C) = g1_grcat_1(D,E,F) -> B = E & F = C & D = A)))) # label(free_g1_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10674 (all A all B (v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v4_rlvect_1(B) & l1_rlvect_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all C (m4_grcat_1(C,A,B) -> -v1_xboole_0(C) & v5_grcat_1(C))))) # label(dt_m4_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10675 (all A (v1_classes2(A) & -v1_xboole_0(A) -> k31_grcat_1(A) = u1_cat_1(k32_grcat_1(A)))) # label(t53_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10676 (all A (l1_struct_0(A) -> (all B (-v3_struct_0(B) & l1_struct_0(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) -> k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),C,k7_grcat_1(B)) = C & C = k1_partfun1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),k7_grcat_1(A),C))))))) # label(t12_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10677 (all A (v2_grcat_1(A) & v3_grcat_1(A) & l1_grcat_1(A) -> (all B (v2_grcat_1(B) & v3_grcat_1(B) & l1_grcat_1(B) -> (k10_grcat_1(A) = k9_grcat_1(B) -> k9_grcat_1(A) = k9_grcat_1(k15_grcat_1(B,A)) & k10_grcat_1(k15_grcat_1(B,A)) = k10_grcat_1(B)))))) # label(t31_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10678 (all A all B (l1_grcat_1(A) & v3_grcat_1(B) & l1_grcat_1(B) & v3_grcat_1(A) -> l1_grcat_1(k15_grcat_1(A,B)) & v3_grcat_1(k15_grcat_1(A,B)) & v2_grcat_1(k15_grcat_1(A,B)))) # label(dt_k15_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10679 (all A (l1_grcat_1(A) -> k9_grcat_1(A) = u1_grcat_1(A))) # label(d14_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.37/118.88	10680 (all A all B (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & -v3_struct_0(B) & v6_rlvect_1(A) -> m1_grcat_1(k14_grcat_1(A,B),A,B) & v2_grcat_1(k14_grcat_1(A,B)))) # label(dt_k14_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10681 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (m1_subset_1(B,u1_cat_1(k28_grcat_1(A))) -> (all C (m2_grcat_1(C,k19_grcat_1(A)) -> (B = C -> k5_cat_1(k28_grcat_1(A),B) = k23_grcat_1(k19_grcat_1(A),C)))))))) # label(t48_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10682 (all A all B (m1_subset_1(B,k20_grcat_1(A)) & v4_grcat_1(A) & -v1_xboole_0(A) -> v1_rlvect_1(k21_grcat_1(A,B)) & m2_grcat_1(k21_grcat_1(A,B),A))) # label(dt_k21_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10683 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & -v3_struct_0(A) -> m1_grcat_1(k13_grcat_1(A),A,A))) # label(dt_k13_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10684 (all A (v5_grcat_1(A) & -v1_xboole_0(A) -> (exists B m3_grcat_1(B,A)))) # label(existence_m3_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10685 (all A (-v1_xboole_0(A) & v4_grcat_1(A) -> (all B (m2_grcat_1(B,A) -> k23_grcat_1(A,B) = k13_grcat_1(B))))) # label(d31_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10686 (all A (-v3_struct_0(A) & l2_struct_0(A) -> (all B (l2_struct_0(B) & -v3_struct_0(B) -> k8_grcat_1(A,B) = k2_funcop_1(u1_struct_0(A),k1_rlvect_1(B)))))) # label(d12_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10687 (all A all B all C all D -(r2_hidden(D,C) & r1_tarski(C,k2_zfmisc_1(A,B)) & (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,B) -> D != k4_tarski(E,F))))))) # label(t2_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10688 (all A (l1_grcat_1(A) & v3_grcat_1(A) -> v1_grcat_1(u3_grcat_1(A),u1_grcat_1(A),u2_grcat_1(A)))) # label(t18_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10689 (all A (v5_grcat_1(A) <-> (all B (r2_hidden(B,A) -> l1_grcat_1(B) & v3_grcat_1(B) & v2_grcat_1(B))))) # label(d23_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10690 (all A all B (-v1_xboole_0(B) & v1_classes2(B) -> ((exists C ((exists D (v5_rlvect_1(D) & v1_midsp_2(D) & l1_rlvect_1(D) & C = D & v6_rlvect_1(D) & v4_rlvect_1(D) & v3_rlvect_1(D) & -v3_struct_0(D))) & A = C & m1_subset_1(C,u1_cat_1(k30_grcat_1(B))))) <-> r2_hidden(A,a_1_1_grcat_1(B))))) # label(fraenkel_a_1_1_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10691 (all A (-v1_xboole_0(A) & v4_grcat_1(A) -> (all B (-v1_xboole_0(B) & v5_grcat_1(B) -> ((all C (r2_hidden(C,B) <-> (exists D (v1_rlvect_1(D) & (exists E (m2_grcat_1(E,A) & v2_grcat_1(C) & m1_grcat_1(C,D,E) & v1_rlvect_1(E))) & m2_grcat_1(D,A))))) <-> k20_grcat_1(A) = B))))) # label(d30_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10692 (all A (-v1_xboole_0(A) & v4_grcat_1(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,k20_grcat_1(A),A) & m2_relset_1(B,k20_grcat_1(A),A) -> (k24_grcat_1(A) = B <-> (all C (m3_grcat_1(C,k20_grcat_1(A)) -> k8_funct_2(k20_grcat_1(A),A,B,C) = k21_grcat_1(A,C)))))))) # label(d32_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10693 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & l1_rlvect_1(B) & v6_rlvect_1(B) & v4_rlvect_1(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) -> (v1_grcat_1(C,A,B) -> v2_grcat_1(g1_grcat_1(A,B,C)) & m1_grcat_1(g1_grcat_1(A,B,C),A,B)))))))) # label(t20_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10694 (all A (-v1_xboole_0(A) & v4_grcat_1(A) -> v1_funct_1(k26_grcat_1(A)) & v1_funct_2(k26_grcat_1(A),A,k20_grcat_1(A)) & m2_relset_1(k26_grcat_1(A),A,k20_grcat_1(A)))) # label(dt_k26_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10695 (all A (-v1_xboole_0(A) -> (all B (l1_rlvect_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & l1_rlvect_1(C) & v6_rlvect_1(C) & v5_rlvect_1(C) & v4_rlvect_1(C) -> ((all D (m1_subset_1(D,A) -> v2_grcat_1(D) & m1_grcat_1(D,B,C))) <-> m4_grcat_1(A,B,C)))))))) # label(t38_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10696 $T # label(dt_k19_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10697 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (exists B (r1_grcat_1(B,k2_algstr_1) & r2_hidden(B,A))))) # label(t41_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10698 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) & -v1_xboole_0(B) -> k6_grcat_1(A,B) = g1_cat_1(B,k1_grcat_1(A,B),k2_grcat_1(A,B),k3_grcat_1(A,B),k4_grcat_1(A,B),k5_grcat_1(A,B)))))) # label(d10_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10699 (all A all B all C all D all E (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & l1_rlvect_1(B) & v5_rlvect_1(C) & m1_grcat_1(E,A,B) & m1_grcat_1(D,B,C) & l1_rlvect_1(C) & v6_rlvect_1(C) & v4_rlvect_1(C) & -v3_struct_0(C) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & v6_rlvect_1(A) -> k16_grcat_1(A,B,C,D,E) = k15_grcat_1(D,E))) # label(redefinition_k16_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10700 (all A (l1_grcat_1(A) -> m2_relset_1(u3_grcat_1(A),u1_struct_0(u1_grcat_1(A)),u1_struct_0(u2_grcat_1(A))) & v1_funct_2(u3_grcat_1(A),u1_struct_0(u1_grcat_1(A)),u1_struct_0(u2_grcat_1(A))) & v1_funct_1(u3_grcat_1(A)))) # label(dt_u3_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10701 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (m1_subset_1(B,u2_cat_1(k28_grcat_1(A))) -> (all C (m3_grcat_1(C,k20_grcat_1(k19_grcat_1(A))) -> (B = C -> k2_cat_1(k28_grcat_1(A),B) = k21_grcat_1(k19_grcat_1(A),C) & k3_cat_1(k28_grcat_1(A),B) = k22_grcat_1(k19_grcat_1(A),C)))))))) # label(t49_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10702 (all A (v1_classes2(A) & -v1_xboole_0(A) -> m3_cat_2(k30_grcat_1(A),k28_grcat_1(A)))) # label(dt_k30_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10703 (all A (v1_classes2(A) & -v1_xboole_0(A) -> m1_subset_1(k29_grcat_1(A),k1_zfmisc_1(u1_cat_1(k28_grcat_1(A)))))) # label(dt_k29_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10704 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B all C (r2_hidden(B,C) & r2_hidden(C,A) -> r2_hidden(B,A))))) # label(t4_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10705 (all A (-v1_xboole_0(A) & v1_classes2(A) -> v1_cat_1(k28_grcat_1(A)))) # label(fc10_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10706 (all A (l1_struct_0(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k8_funct_2(u1_struct_0(A),u1_struct_0(A),k7_grcat_1(A),B))))) # label(t11_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10707 (all A (v1_classes2(A) & -v1_xboole_0(A) -> u1_cat_1(k30_grcat_1(A)) = k29_grcat_1(A))) # label(t52_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10708 (all A (v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & l1_rlvect_1(B) & v6_rlvect_1(B) & -v3_struct_0(B) -> (all C (m4_grcat_1(C,A,B) -> ((all D (v2_grcat_1(D) & m1_grcat_1(D,A,B) <-> r2_hidden(D,C))) <-> C = k18_grcat_1(A,B)))))))) # label(d27_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10709 $T # label(t35_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10710 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) & -v1_xboole_0(B) -> k2_partfun1(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B) = k5_grcat_1(A,B))))) # label(d9_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10711 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & l1_rlvect_1(B) & v6_rlvect_1(B) & -v3_struct_0(B) -> (all C (v2_grcat_1(C) & m1_grcat_1(C,A,B) -> (exists D (v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & g1_grcat_1(A,B,D) = C)))))))) # label(t23_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10712 (all A (v1_classes2(A) & -v1_xboole_0(A) -> v2_cat_1(k30_grcat_1(A)) & v1_cat_1(k30_grcat_1(A)))) # label(fc13_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10713 (all A all B all C all D all E (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & -v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v5_rlvect_1(C) & l1_rlvect_1(C) & m1_grcat_1(E,A,B) & m1_grcat_1(D,B,C) & v6_rlvect_1(C) & v4_rlvect_1(C) & -v3_struct_0(C) & l1_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(A) & v4_rlvect_1(A) -> m1_grcat_1(k16_grcat_1(A,B,C,D,E),A,C) & v2_grcat_1(k16_grcat_1(A,B,C,D,E)))) # label(dt_k16_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10714 (all A (v1_classes2(A) & -v1_xboole_0(A) -> -v1_xboole_0(k29_grcat_1(A)))) # label(fc12_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10715 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) -> k2_grcat_1(A,B) = k2_partfun1(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),k1_grcat_1(A,B)))))) # label(d6_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10716 (all A all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) & l1_cat_1(A) & v2_cat_1(A) -> v1_funct_1(k5_grcat_1(A,B)) & m2_relset_1(k5_grcat_1(A,B),B,k1_grcat_1(A,B)) & v1_funct_2(k5_grcat_1(A,B),B,k1_grcat_1(A,B)))) # label(dt_k5_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10717 (all A (v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & -v3_struct_0(B) -> (all C (-v1_xboole_0(C) & v5_grcat_1(C) -> ((all D (m3_grcat_1(D,C) -> m1_grcat_1(D,A,B) & v2_grcat_1(D))) <-> m4_grcat_1(C,A,B)))))))) # label(d24_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10718 (all A (v3_grcat_1(A) & l1_grcat_1(A) -> (all B (v3_grcat_1(B) & l1_grcat_1(B) -> -((all C (l1_rlvect_1(C) & v6_rlvect_1(C) & v5_rlvect_1(C) & v4_rlvect_1(C) & -v3_struct_0(C) -> (all D (l1_rlvect_1(D) & v6_rlvect_1(D) & v5_rlvect_1(D) & v4_rlvect_1(D) & -v3_struct_0(D) -> (all E (-v3_struct_0(E) & v5_rlvect_1(E) & v6_rlvect_1(E) & l1_rlvect_1(E) & v4_rlvect_1(E) -> -(m1_grcat_1(B,C,D) & m1_grcat_1(A,D,E)))))))) & k9_grcat_1(A) = k10_grcat_1(B)))))) # label(t26_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10719 (all A (-v1_xboole_0(A) & v1_classes2(A) -> r2_hidden(k2_algstr_1,k29_grcat_1(A)))) # label(t51_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10720 $T # label(t1_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10721 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & v5_rlvect_1(B) -> (all C (-v3_struct_0(C) & v5_rlvect_1(C) & l1_rlvect_1(C) & v6_rlvect_1(C) & v4_rlvect_1(C) -> (all D (m1_grcat_1(D,B,C) -> (all E (m1_grcat_1(E,A,B) -> (all F (v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(C)) & m2_relset_1(F,u1_struct_0(B),u1_struct_0(C)) -> (all G (v1_funct_2(G,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(G,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(G) -> (g1_grcat_1(A,B,G) = E & g1_grcat_1(B,C,F) = D -> g1_grcat_1(A,C,k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),G,F)) = k16_grcat_1(A,B,C,D,E)))))))))))))))) # label(t29_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10722 (all A all B (-v3_struct_0(A) & v5_rlvect_1(A) & -v3_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & v4_rlvect_1(B) & l1_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (exists C m4_grcat_1(C,A,B)))) # label(existence_m4_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10723 (all A (m1_subset_1(A,f1_s2_grcat_1) -> (all B (m1_subset_1(B,f2_s2_grcat_1) -> (p1_s2_grcat_1(A,B) -> r2_hidden(f4_s2_grcat_1(A,B),f3_s2_grcat_1)))))) -> (exists A ((all B (m1_subset_1(B,f1_s2_grcat_1) -> (all C (m1_subset_1(C,f2_s2_grcat_1) -> (r2_hidden(k4_tarski(B,C),k1_relat_1(A)) -> k1_funct_1(A,k4_tarski(B,C)) = f4_s2_grcat_1(B,C)))))) & (all B (m1_subset_1(B,f1_s2_grcat_1) -> (all C (m1_subset_1(C,f2_s2_grcat_1) -> (p1_s2_grcat_1(B,C) <-> r2_hidden(k4_tarski(B,C),k1_relat_1(A))))))) & m2_relset_1(A,k2_zfmisc_1(f1_s2_grcat_1,f2_s2_grcat_1),f3_s2_grcat_1) & v1_funct_1(A))) # label(s2_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10724 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) -> k3_grcat_1(A,B) = k2_partfun1(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),k1_grcat_1(A,B)))))) # label(d7_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10725 (all A (-v1_xboole_0(A) & v4_grcat_1(A) -> m2_relset_1(k27_grcat_1(A),k2_zfmisc_1(k20_grcat_1(A),k20_grcat_1(A)),k20_grcat_1(A)) & v1_funct_1(k27_grcat_1(A)))) # label(dt_k27_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10726 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & -v3_struct_0(A) -> g1_grcat_1(A,A,k7_grcat_1(A)) = k13_grcat_1(A))) # label(d20_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10727 (all A all B all C (r1_grcat_1(A,C) & r1_grcat_1(A,B) -> C = B)) # label(t40_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10728 (all A (v4_grcat_1(A) <-> (all B (r2_hidden(B,A) -> v1_rlvect_1(B) & l1_rlvect_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B))))) # label(d22_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10729 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (v4_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & l1_rlvect_1(C) & v6_rlvect_1(C) & v5_rlvect_1(C) & v4_rlvect_1(C) -> (all D (m1_grcat_1(D,B,C) -> (all E (m1_grcat_1(E,A,B) -> m1_grcat_1(k15_grcat_1(D,E),A,C))))))))))) # label(t28_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10730 (all A (l1_grcat_1(A) -> (v2_grcat_1(A) -> A = g1_grcat_1(u1_grcat_1(A),u2_grcat_1(A),u3_grcat_1(A))))) # label(abstractness_v2_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10731 (all A (v3_grcat_1(A) & l1_grcat_1(A) & v2_grcat_1(A) -> (exists B (-v3_struct_0(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & (exists C (v5_rlvect_1(C) & (exists D (v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m2_relset_1(D,u1_struct_0(B),u1_struct_0(C)) & v1_grcat_1(D,B,C) & g1_grcat_1(B,C,D) = A & m1_grcat_1(A,B,C))) & l1_rlvect_1(C) & v6_rlvect_1(C) & v4_rlvect_1(C) & -v3_struct_0(C))) & v5_rlvect_1(B) & v4_rlvect_1(B))))) # label(t25_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10732 (all A all B (-v3_struct_0(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(B) & l1_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & v5_rlvect_1(A) & v4_rlvect_1(A) -> l1_grcat_1(k12_grcat_1(A,B)))) # label(dt_k12_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10733 (all A (l1_grcat_1(A) -> v1_funct_1(k11_grcat_1(A)) & v1_funct_2(k11_grcat_1(A),u1_struct_0(k9_grcat_1(A)),u1_struct_0(k10_grcat_1(A))) & m2_relset_1(k11_grcat_1(A),u1_struct_0(k9_grcat_1(A)),u1_struct_0(k10_grcat_1(A))))) # label(dt_k11_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10734 (all A (v1_classes2(A) & -v1_xboole_0(A) -> r2_hidden(k1_tarski(k1_xboole_0),A) & r2_hidden(k4_tarski(k1_tarski(k1_xboole_0),k1_tarski(k1_xboole_0)),A) & r2_hidden(k2_zfmisc_1(k1_tarski(k1_xboole_0),k1_tarski(k1_xboole_0)),A) & r2_hidden(k2_midsp_1,A) & r2_hidden(k7_vectsp_2,A))) # label(t6_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10735 (all A (v1_classes2(A) & -v1_xboole_0(A) -> l1_cat_1(k28_grcat_1(A)))) # label(dt_k28_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10736 (all A all B (l1_struct_0(B) & -v3_struct_0(B) & l1_struct_0(A) -> (exists C (m5_grcat_1(C,A,B) & -v1_xboole_0(C))))) # label(rc8_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10737 (all A (v4_grcat_1(A) & -v1_xboole_0(A) -> (all B (m3_grcat_1(B,k20_grcat_1(A)) -> (all C (m3_grcat_1(C,k20_grcat_1(A)) -> (k22_grcat_1(A,C) = k21_grcat_1(A,B) -> r2_hidden(k15_grcat_1(B,C),k20_grcat_1(A))))))))) # label(t45_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10738 (all A all B all C (v2_cat_1(B) & l1_cat_1(B) & -v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_cat_1(B))) -> ((exists D exists E (m1_subset_1(E,u1_cat_1(B)) & r2_hidden(E,C) & r2_hidden(D,C) & A = k6_cat_1(B,D,E) & m1_subset_1(D,u1_cat_1(B)))) <-> r2_hidden(A,a_2_0_grcat_1(B,C))))) # label(fraenkel_a_2_0_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10739 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) -> k1_realset1(u5_cat_1(A),k1_grcat_1(A,B)) = k4_grcat_1(A,B))))) # label(d8_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10740 (all A (v1_classes2(A) & -v1_xboole_0(A) -> g1_cat_1(k19_grcat_1(A),k20_grcat_1(k19_grcat_1(A)),k24_grcat_1(k19_grcat_1(A)),k25_grcat_1(k19_grcat_1(A)),k27_grcat_1(k19_grcat_1(A)),k26_grcat_1(k19_grcat_1(A))) = k28_grcat_1(A))) # label(d36_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10741 (all A (v2_grcat_1(A) & v3_grcat_1(A) & l1_grcat_1(A) -> -v1_xboole_0(k1_tarski(A)) & v5_grcat_1(k1_tarski(A)))) # label(t37_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10742 (exists A (v2_grcat_1(A) & l1_grcat_1(A))) # label(rc1_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10743 (all A (-v3_struct_0(A) & l1_rlvect_1(A) -> v1_grcat_1(k7_grcat_1(A),A,A))) # label(t21_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10744 (all A all B (l1_cat_1(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) & v2_cat_1(A) -> m1_subset_1(k1_grcat_1(A,B),k1_zfmisc_1(u2_cat_1(A))))) # label(dt_k1_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10745 (all A (l1_grcat_1(A) -> v4_rlvect_1(u1_grcat_1(A)) & l1_rlvect_1(u1_grcat_1(A)) & v6_rlvect_1(u1_grcat_1(A)) & v5_rlvect_1(u1_grcat_1(A)) & -v3_struct_0(u1_grcat_1(A)))) # label(dt_u1_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10746 $T # label(d2_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10747 (all A (-v1_xboole_0(A) & v4_grcat_1(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,k2_zfmisc_1(k20_grcat_1(A),k20_grcat_1(A)),k20_grcat_1(A)) -> ((all C (m3_grcat_1(C,k20_grcat_1(A)) -> (all D (m3_grcat_1(D,k20_grcat_1(A)) -> (k21_grcat_1(A,C) = k22_grcat_1(A,D) <-> r2_hidden(k4_tarski(C,D),k1_relat_1(B))))))) & (all C (m3_grcat_1(C,k20_grcat_1(A)) -> (all D (m3_grcat_1(D,k20_grcat_1(A)) -> (r2_hidden(k4_tarski(C,D),k1_relat_1(B)) -> k15_grcat_1(C,D) = k1_funct_1(B,k4_tarski(C,D))))))) <-> k27_grcat_1(A) = B))))) # label(d35_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10748 (all A all B (l1_rlvect_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> k14_grcat_1(A,B) = k12_grcat_1(A,B))) # label(redefinition_k14_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10749 (all A all B all C (l1_struct_0(A) & l1_struct_0(B) & -v1_xboole_0(C) & m5_grcat_1(C,A,B) & -v3_struct_0(B) -> (exists D m6_grcat_1(D,A,B,C)))) # label(existence_m6_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10750 (all A all B all C (-v3_struct_0(A) & v6_rlvect_1(A) & -v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & m4_grcat_1(C,A,B) & l1_rlvect_1(B) & l1_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (exists D m7_grcat_1(D,A,B,C)))) # label(existence_m7_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10751 (all A (l1_struct_0(A) -> k7_grcat_1(A) = k6_partfun1(u1_struct_0(A)))) # label(d11_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10752 (all A (-v1_xboole_0(A) & v4_grcat_1(A) -> (exists B m2_grcat_1(B,A)))) # label(existence_m2_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10753 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (l1_rlvect_1(C) & v6_rlvect_1(C) & v5_rlvect_1(C) & v4_rlvect_1(C) & -v3_struct_0(C) -> (all D (v5_rlvect_1(D) & l1_rlvect_1(D) & v6_rlvect_1(D) & v4_rlvect_1(D) & -v3_struct_0(D) -> (all E (m1_grcat_1(E,A,B) & v2_grcat_1(E) -> (all F (v2_grcat_1(F) & m1_grcat_1(F,B,C) -> (all G (m1_grcat_1(G,C,D) & v2_grcat_1(G) -> k16_grcat_1(A,B,D,k16_grcat_1(B,C,D,G,F),E) = k16_grcat_1(A,C,D,G,k16_grcat_1(A,B,C,F,E)))))))))))))))) # label(t32_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10754 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (m1_subset_1(B,u2_cat_1(k28_grcat_1(A))) -> (all C (m1_subset_1(C,u2_cat_1(k28_grcat_1(A))) -> (r2_hidden(k4_tarski(C,B),k1_relat_1(u5_cat_1(k28_grcat_1(A)))) <-> k3_cat_1(k28_grcat_1(A),B) = k2_cat_1(k28_grcat_1(A),C)))))))) # label(t46_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10755 (all A (v5_grcat_1(A) & -v1_xboole_0(A) -> (exists B (m1_subset_1(B,A) & v3_grcat_1(B) & v2_grcat_1(B))))) # label(rc7_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10756 (all A (-v1_xboole_0(A) & v4_grcat_1(A) -> (exists B (m1_subset_1(B,A) & -v3_struct_0(B) & v1_rlvect_1(B) & v4_rlvect_1(B) & v5_algstr_1(B) & v6_algstr_1(B) & v4_algstr_1(B) & v3_algstr_1(B) & v2_algstr_1(B) & v1_algstr_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B))))) # label(rc5_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10757 $T # label(dt_m5_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10758 $T # label(d1_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10759 (all A all B (l1_struct_0(A) & -v3_struct_0(B) & l1_struct_0(B) -> -v1_xboole_0(k17_grcat_1(A,B)))) # label(fc7_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10760 (all A all B (v6_rlvect_1(A) & -v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & v5_rlvect_1(B) & l1_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> v2_grcat_1(k12_grcat_1(A,B)))) # label(fc4_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10761 $T # label(dt_l1_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10762 (all A (v4_grcat_1(A) & -v1_xboole_0(A) -> (all B (m2_grcat_1(B,A) -> -v3_struct_0(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B))))) # label(dt_m2_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10763 (all A all B (v4_rlvect_1(A) & l1_rlvect_1(A) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> v2_grcat_1(k12_grcat_1(A,B)) & v3_grcat_1(k12_grcat_1(A,B)))) # label(fc5_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10764 (all A all B ((exists C exists D exists E exists F ((exists G (-v3_struct_0(G) & v1_rlvect_1(G) & v4_rlvect_1(G) & v6_rlvect_1(G) & B = G & u2_struct_0(G) = F & E = k7_vectsp_1(G) & u1_rlvect_1(G) = D & u1_struct_0(G) = C & l1_rlvect_1(G) & v5_rlvect_1(G))) & k4_mcart_1(C,D,E,F) = A)) <-> r1_grcat_1(A,B))) # label(d28_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10765 (exists A (l1_grcat_1(A) & v2_grcat_1(A) & v3_grcat_1(A))) # label(rc2_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10766 (all A all B all C (l1_struct_0(A) & -v3_struct_0(B) & m5_grcat_1(C,A,B) & -v1_xboole_0(C) & l1_struct_0(B) -> (all D (m1_subset_1(D,C) <-> m6_grcat_1(D,A,B,C))))) # label(redefinition_m6_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10767 (all A (v4_grcat_1(A) & -v1_xboole_0(A) -> (all B (m1_subset_1(B,A) <-> m2_grcat_1(B,A))))) # label(redefinition_m2_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10768 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) -> u1_cat_1(k6_grcat_1(A,B)) = B)))) # label(t10_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10769 (all A (m1_subset_1(A,u1_struct_0(k2_algstr_1)) -> k1_xboole_0 = A)) # label(t8_grcat_1_AndLHS) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10770 (all A (m1_subset_1(A,u1_struct_0(k2_algstr_1)) -> (all B (m1_subset_1(B,u1_struct_0(k2_algstr_1)) -> k1_xboole_0 = k4_rlvect_1(k2_algstr_1,A,B))))) # label(t8_grcat_1_AndRHS_AndLHS) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10771 (all A (m1_subset_1(A,u1_struct_0(k2_algstr_1)) -> k1_xboole_0 = k5_rlvect_1(k2_algstr_1,A))) # label(t8_grcat_1_AndRHS_AndRHS_AndRHS) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10772 (all A all B (v4_grcat_1(A) & m1_subset_1(B,A) & -v1_xboole_0(A) -> m3_grcat_1(k23_grcat_1(A,B),k20_grcat_1(A)) & v2_grcat_1(k23_grcat_1(A,B)))) # label(dt_k23_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10773 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) & -v1_xboole_0(B) -> r1_cat_2(g1_cat_1(B,k1_grcat_1(A,B),k2_grcat_1(A,B),k3_grcat_1(A,B),k4_grcat_1(A,B),k5_grcat_1(A,B)),A))))) # label(t9_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10774 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (m1_subset_1(B,u2_cat_1(k28_grcat_1(A))) -> (all C (m1_subset_1(C,u2_cat_1(k28_grcat_1(A))) -> (all D (m3_grcat_1(D,k20_grcat_1(k19_grcat_1(A))) -> (all E (m3_grcat_1(E,k20_grcat_1(k19_grcat_1(A))) -> (B = D & E = C -> (k3_cat_1(k28_grcat_1(A),B) = k2_cat_1(k28_grcat_1(A),C) -> k21_grcat_1(k19_grcat_1(A),E) = k22_grcat_1(k19_grcat_1(A),D)) & (k3_cat_1(k28_grcat_1(A),B) = k2_cat_1(k28_grcat_1(A),C) -> r2_hidden(k4_tarski(E,D),k1_relat_1(k27_grcat_1(k19_grcat_1(A))))) & (r2_hidden(k4_tarski(E,D),k1_relat_1(k27_grcat_1(k19_grcat_1(A)))) -> k2_cat_1(k28_grcat_1(A),C) = k3_cat_1(k28_grcat_1(A),B)) & (k2_cat_1(k28_grcat_1(A),C) = k2_cat_1(k28_grcat_1(A),B) -> k21_grcat_1(k19_grcat_1(A),E) = k21_grcat_1(k19_grcat_1(A),D)) & (k22_grcat_1(k19_grcat_1(A),E) = k22_grcat_1(k19_grcat_1(A),D) -> k3_cat_1(k28_grcat_1(A),C) = k3_cat_1(k28_grcat_1(A),B)) & (k3_cat_1(k28_grcat_1(A),B) = k3_cat_1(k28_grcat_1(A),C) -> k22_grcat_1(k19_grcat_1(A),D) = k22_grcat_1(k19_grcat_1(A),E)) & (k21_grcat_1(k19_grcat_1(A),D) = k21_grcat_1(k19_grcat_1(A),E) -> k2_cat_1(k28_grcat_1(A),C) = k2_cat_1(k28_grcat_1(A),B)) & (k2_cat_1(k28_grcat_1(A),C) = k3_cat_1(k28_grcat_1(A),B) -> k15_grcat_1(E,D) = k4_cat_1(k28_grcat_1(A),B,C)) & (k22_grcat_1(k19_grcat_1(A),D) = k21_grcat_1(k19_grcat_1(A),E) -> k2_cat_1(k28_grcat_1(A),C) = k3_cat_1(k28_grcat_1(A),B))))))))))))) # label(t50_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10775 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (m1_subset_1(B,k19_grcat_1(A)) -> -v3_struct_0(B) & v1_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & v5_rlvect_1(B))))) # label(t43_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10776 (all A all B all C (-v3_struct_0(A) & v4_rlvect_1(A) & l1_rlvect_1(A) & m4_grcat_1(C,A,B) & l1_rlvect_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all D (m7_grcat_1(D,A,B,C) -> m1_grcat_1(D,A,B))))) # label(dt_m7_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10777 (all A (v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v2_grcat_1(B) & l1_grcat_1(B) & v3_grcat_1(B) -> (A = k10_grcat_1(B) -> k15_grcat_1(k13_grcat_1(A),B) = B))) & (all B (v3_grcat_1(B) & l1_grcat_1(B) & v2_grcat_1(B) -> (k9_grcat_1(B) = A -> k15_grcat_1(B,k13_grcat_1(A)) = B))) & k10_grcat_1(k13_grcat_1(A)) = A & A = k9_grcat_1(k13_grcat_1(A)))) # label(t34_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10778 (exists A (-v1_xboole_0(A) & v4_grcat_1(A))) # label(rc4_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10779 (all A (-v1_xboole_0(A) & v1_classes2(A) -> a_1_0_grcat_1(A) = k29_grcat_1(A))) # label(d37_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10780 (all A all B (v2_cat_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) & -v1_xboole_0(B) & l1_cat_1(A) -> v1_funct_1(k3_grcat_1(A,B)) & v1_funct_2(k3_grcat_1(A,B),k1_grcat_1(A,B),B) & m2_relset_1(k3_grcat_1(A,B),k1_grcat_1(A,B),B))) # label(dt_k3_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10781 (all A all B (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & -v3_struct_0(B) & l1_rlvect_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & l1_rlvect_1(A) & v5_rlvect_1(A) -> (all C (m1_grcat_1(C,A,B) -> l1_grcat_1(C) & v3_grcat_1(C))))) # label(dt_m1_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10782 (all A (-v1_xboole_0(A) & v5_grcat_1(A) -> (all B (m1_subset_1(B,A) <-> m3_grcat_1(B,A))))) # label(redefinition_m3_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10783 (all A (-v3_struct_0(A) & l1_rlvect_1(A) -> (all B (l1_rlvect_1(B) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & l1_rlvect_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) -> (all E (v1_funct_1(E) & m2_relset_1(E,u1_struct_0(B),u1_struct_0(C)) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) -> (v1_grcat_1(D,A,B) & v1_grcat_1(E,B,C) -> v1_grcat_1(k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),D,E),A,C)))))))))))) # label(t14_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10784 (all A all B all C (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & -v3_struct_0(B) & l1_rlvect_1(B) & m4_grcat_1(C,A,B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & l1_rlvect_1(A) & -v3_struct_0(A) -> (exists D (v2_grcat_1(D) & v3_grcat_1(D) & m1_subset_1(D,C))))) # label(rc9_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10785 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_grcat_1(C,A,B) -> (exists D (v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_grcat_1(D,A,B) & g1_grcat_1(A,B,D) = g1_grcat_1(u1_grcat_1(C),u2_grcat_1(C),u3_grcat_1(C)) & v1_funct_1(D))))))))) # label(t22_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10786 (all A (v4_grcat_1(A) & -v1_xboole_0(A) -> v1_funct_2(k24_grcat_1(A),k20_grcat_1(A),A) & m2_relset_1(k24_grcat_1(A),k20_grcat_1(A),A) & v1_funct_1(k24_grcat_1(A)))) # label(dt_k24_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10787 (all A all B all C (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(B) & v1_funct_1(C) & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & l1_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & v4_rlvect_1(A) -> v2_grcat_1(g1_grcat_1(A,B,C)) & l1_grcat_1(g1_grcat_1(A,B,C)))) # label(dt_g1_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10788 (all A all B (m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) & -v1_xboole_0(B) & l1_cat_1(A) & v2_cat_1(A) -> m3_cat_2(k6_grcat_1(A,B),A))) # label(dt_k6_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10789 (all A (v1_classes2(A) & -v1_xboole_0(A) -> r2_hidden(k2_algstr_1,k19_grcat_1(A)))) # label(t42_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10790 (all A (v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v6_rlvect_1(B) & l1_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_grcat_1(C,A,B) & v2_grcat_1(C) -> m4_grcat_1(k1_tarski(C),A,B))))))) # label(t39_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10791 (all A (l1_struct_0(A) -> m2_relset_1(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A)) & v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A)) & v1_funct_1(k7_grcat_1(A)))) # label(dt_k7_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10792 (all A (l1_grcat_1(A) -> -v3_struct_0(u2_grcat_1(A)) & v5_rlvect_1(u2_grcat_1(A)) & v6_rlvect_1(u2_grcat_1(A)) & l1_rlvect_1(u2_grcat_1(A)) & v4_rlvect_1(u2_grcat_1(A)))) # label(dt_u2_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10793 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) & -v1_xboole_0(B) -> k3_tarski(a_2_0_grcat_1(A,B)) = k1_grcat_1(A,B))))) # label(d5_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10794 (all A (l1_struct_0(A) -> (all B (l1_struct_0(B) -> k17_grcat_1(A,B) = k1_funct_2(u1_struct_0(A),u1_struct_0(B)))))) # label(d26_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10795 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B ((all C ((exists D (r2_hidden(D,A) & r1_grcat_1(D,C))) <-> r2_hidden(C,B))) <-> B = k19_grcat_1(A))))) # label(d29_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10796 (all A (l1_grcat_1(A) & v3_grcat_1(A) -> (all B (v3_grcat_1(B) & l1_grcat_1(B) -> (k9_grcat_1(A) = k10_grcat_1(B) -> (all C (v3_grcat_1(C) & l1_grcat_1(C) & v2_grcat_1(C) -> ((all D (v6_rlvect_1(D) & l1_rlvect_1(D) & v5_rlvect_1(D) & v4_rlvect_1(D) & -v3_struct_0(D) -> (all E (v6_rlvect_1(E) & l1_rlvect_1(E) & v5_rlvect_1(E) & v4_rlvect_1(E) & -v3_struct_0(E) -> (all F (l1_rlvect_1(F) & v6_rlvect_1(F) & v5_rlvect_1(F) & v4_rlvect_1(F) & -v3_struct_0(F) -> (all G (v1_funct_1(G) & m2_relset_1(G,u1_struct_0(E),u1_struct_0(F)) & v1_funct_2(G,u1_struct_0(E),u1_struct_0(F)) -> (all H (v1_funct_1(H) & m2_relset_1(H,u1_struct_0(D),u1_struct_0(E)) & v1_funct_2(H,u1_struct_0(D),u1_struct_0(E)) -> (g1_grcat_1(D,E,H) = g1_grcat_1(u1_grcat_1(B),u2_grcat_1(B),u3_grcat_1(B)) & g1_grcat_1(E,F,G) = g1_grcat_1(u1_grcat_1(A),u2_grcat_1(A),u3_grcat_1(A)) -> C = g1_grcat_1(D,F,k7_funct_2(u1_struct_0(D),u1_struct_0(E),u1_struct_0(F),H,G))))))))))))) <-> k15_grcat_1(A,B) = C)))))))) # label(d21_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10797 (all A all B (v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v4_rlvect_1(B) & v5_rlvect_1(B) & l1_rlvect_1(B) & v6_rlvect_1(B) & -v3_struct_0(B) & v4_rlvect_1(A) & -v3_struct_0(A) -> (exists C m1_grcat_1(C,A,B)))) # label(existence_m1_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10798 (all A (l1_grcat_1(A) -> v5_rlvect_1(k9_grcat_1(A)) & l1_rlvect_1(k9_grcat_1(A)) & v6_rlvect_1(k9_grcat_1(A)) & v4_rlvect_1(k9_grcat_1(A)) & -v3_struct_0(k9_grcat_1(A)))) # label(dt_k9_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10799 (all A all B (v2_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) & -v1_xboole_0(B) -> v2_cat_1(k6_grcat_1(A,B)) & v1_cat_1(k6_grcat_1(A,B)))) # label(fc3_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10800 (all A (-v1_xboole_0(A) & v1_classes2(A) -> k32_grcat_1(A) = k6_grcat_1(k30_grcat_1(A),k31_grcat_1(A)))) # label(d40_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10801 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,k20_grcat_1(A)) & v4_grcat_1(A) -> m2_grcat_1(k22_grcat_1(A,B),A) & v1_rlvect_1(k22_grcat_1(A,B)))) # label(dt_k22_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10802 (all A all B (-v3_struct_0(B) & l2_struct_0(B) & l2_struct_0(A) & -v3_struct_0(A) -> m2_relset_1(k8_grcat_1(A,B),u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(k8_grcat_1(A,B),u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(k8_grcat_1(A,B)))) # label(dt_k8_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10803 $T # label(t36_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10804 (all A (-v1_xboole_0(A) & v1_classes2(A) -> m3_cat_2(k32_grcat_1(A),k30_grcat_1(A)))) # label(dt_k32_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10805 (all A (-v1_xboole_0(A) & v1_classes2(A) -> v4_grcat_1(k19_grcat_1(A)) & -v1_xboole_0(k19_grcat_1(A)))) # label(fc9_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10806 (all A (v1_classes2(A) & -v1_xboole_0(A) -> k6_grcat_1(k28_grcat_1(A),k29_grcat_1(A)) = k30_grcat_1(A))) # label(d38_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10807 (all A (-v1_xboole_0(A) & v1_classes2(A) -> -v1_xboole_0(k19_grcat_1(A)))) # label(fc8_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10808 (all A (-v1_xboole_0(A) & v4_grcat_1(A) -> v5_grcat_1(k20_grcat_1(A)) & -v1_xboole_0(k20_grcat_1(A)))) # label(dt_k20_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10809 (all A (-v1_xboole_0(A) & v1_classes2(A) -> k31_grcat_1(A) = a_1_1_grcat_1(A))) # label(d39_grcat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.89	10810 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & l1_group_1(C) & v4_group_1(C) & v3_group_1(C) -> (all D (v1_funct_1(D) & v1_group_6(D,B,A) & m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) -> (all E (v1_group_6(E,A,C) & m2_relset_1(E,u1_struct_0(A),u1_struct_0(C)) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(C)) & v1_funct_1(E) -> v1_funct_1(k7_funct_2(u1_struct_0(B),u1_struct_0(A),u1_struct_0(C),D,E)) & v1_funct_2(k7_funct_2(u1_struct_0(B),u1_struct_0(A),u1_struct_0(C),D,E),u1_struct_0(B),u1_struct_0(C)) & v1_group_6(k7_funct_2(u1_struct_0(B),u1_struct_0(A),u1_struct_0(C),D,E),B,C) & m2_relset_1(k7_funct_2(u1_struct_0(B),u1_struct_0(A),u1_struct_0(C),D,E),u1_struct_0(B),u1_struct_0(C)))))))))))) # label(t48_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10811 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_3(B,A) & m1_group_2(B,A) -> (all C (m2_relset_1(C,k2_zfmisc_1(k4_group_6(A,B),k4_group_6(A,B)),k4_group_6(A,B)) & v1_funct_2(C,k2_zfmisc_1(k4_group_6(A,B),k4_group_6(A,B)),k4_group_6(A,B)) & v1_funct_1(C) -> (C = k5_group_6(A,B) <-> (all D (m1_subset_1(D,k4_group_6(A,B)) -> (all E (m1_subset_1(E,k4_group_6(A,B)) -> (all F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) -> (all G (m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) -> (D = F & G = E -> k2_binop_1(k4_group_6(A,B),k4_group_6(A,B),k4_group_6(A,B),C,D,E) = k2_group_2(A,F,G))))))))))))))))) # label(d4_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10812 $T # label(t76_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10813 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (-v3_struct_0(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) -> (v6_group_1(A) & r1_group_6(A,B) -> v6_group_1(B)))))) # label(t85_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10814 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (v1_group_1(C) & v1_group_3(C,A) & m1_group_2(C,A) -> r2_group_6(k6_group_6(k8_group_4(A,B,C),k1_group_6(A,k8_group_4(A,B,C),C)),k6_group_6(B,k2_group_6(A,B,C))))))))) # label(t93_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10815 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & v3_group_1(C) & l1_group_1(C) & v4_group_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(D,A,B) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) -> (all E (v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & m2_relset_1(E,u1_struct_0(B),u1_struct_0(C)) & v1_group_6(E,B,C) & v1_funct_1(E) -> k10_group_6(A,C) = k8_group_6(A,B,C,k10_group_6(A,B),E) & k8_group_6(A,B,C,D,k10_group_6(B,C)) = k10_group_6(A,C))))))))))) # label(t49_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10816 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & -v3_struct_0(B) -> (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(B)) & v1_group_6(D,A,B) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) -> k8_funct_2(u1_struct_0(A),u1_struct_0(B),D,k3_group_1(A,C)) = k3_group_1(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),D,C)))))))))) # label(t41_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10817 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> -v3_struct_0(k6_group_2(A)) & v3_group_1(k6_group_2(A)) & v4_group_1(k6_group_2(A)) & v1_group_3(k6_group_2(A),A) & v2_group_1(k6_group_2(A)) & v1_group_1(k6_group_2(A)))) # label(fc2_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10818 (all A all B (v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & -v3_struct_0(B) -> (r2_hidden(A,a_1_0_group_6(B)) <-> (exists C exists D (m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & A = k2_group_5(B,C,D)))))) # label(fraenkel_a_1_0_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10819 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(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_group_6(C,A,B) & v1_funct_1(C) -> (all D (m1_group_2(D,A) & v1_group_1(D) -> (k12_group_6(A,B,C) = D <-> a_3_0_group_6(A,B,C) = u1_struct_0(D)))))))))) # label(d10_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10820 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) & v1_group_3(C,A) -> (all D (m1_subset_1(D,u1_struct_0(k6_group_6(A,C))) -> (k12_group_2(A,C,B) = D -> k12_group_2(A,C,k3_group_1(A,B)) = k3_group_1(k6_group_6(A,C),D)))))))))) # label(t30_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10821 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (v1_group_3(B,A) & m1_group_2(B,A) -> v3_group_6(k11_group_6(A,B),A,k6_group_6(A,B)))))) # label(t69_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10822 (all A all B (l1_group_1(A) & m1_group_2(B,A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (exists C m1_group_6(C,A,B)))) # label(existence_m1_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10823 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (a_1_0_group_6(A) = B -> r1_group_2(A,k9_group_5(A),k5_group_4(A,B))))))) # label(t7_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10824 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_1(B) & v1_group_3(B,A) & m1_group_2(B,A) -> r1_group_2(A,k12_group_6(A,k6_group_6(A,B),k11_group_6(A,B)),B))))) # label(t52_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10825 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k3_group_2(A,C,k7_group_4(A,B,B)) = k12_group_2(A,B,C) & k4_group_2(A,C,k7_group_4(A,B,B)) = k13_group_2(A,B,C) & k11_group_2(A,B,k13_group_2(A,B,C)) = k13_group_2(A,B,C) & k12_group_2(A,B,C) = k10_group_2(A,B,k12_group_2(A,B,C)))))))) # label(t6_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10826 (all A all B (-v3_struct_0(A) & v1_group_1(A) & -v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & v1_group_1(B) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (r2_group_6(A,B) <-> r1_group_6(A,B)))) # label(redefinition_r2_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10827 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) -> (all C (v1_funct_1(C) & v1_group_6(C,B,A) & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) -> (all D (v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(D,A,B) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) -> (v4_group_6(C,B,A) & D = k2_funct_1(C) -> v4_group_6(D,A,B)))))))))) # label(t73_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10828 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) -> (all C (m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (all D (m1_group_2(D,B) & v1_group_1(D) -> (k2_funct_2(u1_struct_0(A),u1_struct_0(B),C,u1_struct_0(A)) = u1_struct_0(D) <-> D = k13_group_6(A,B,C)))))))))) # label(d11_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10829 (all A (v1_group_1(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & v1_group_1(B) & -v3_struct_0(B) -> (v3_realset2(A) & r2_group_6(A,B) -> v3_realset2(B)))))) # label(t87_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10830 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_3(B,A) & m1_group_2(B,A) & v1_group_1(B) -> (all C (v1_group_1(C) & m1_group_2(C,A) & v1_group_3(C,A) -> (m1_group_6(C,A,B) -> v1_group_3(k6_group_6(B,k1_group_6(A,B,C)),k6_group_6(A,C)) & m1_group_2(k6_group_6(B,k1_group_6(A,B,C)),k6_group_6(A,C))))))))) # label(t35_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10831 (all A all B all C all D all E (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & -v3_struct_0(C) & v3_group_1(C) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(D,A,B) & m1_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & m1_relset_1(E,u1_struct_0(B),u1_struct_0(C)) & v1_group_6(E,B,C) & v1_funct_1(E) & v1_funct_1(D) & l1_group_1(C) & v4_group_1(C) & -v3_struct_0(B) & l1_group_1(A) -> k8_group_6(A,B,C,D,E) = k5_relat_1(D,E))) # label(redefinition_k8_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10832 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) -> (all C (v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v1_group_6(C,B,A) & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) & v1_funct_1(C) -> (v6_group_1(B) -> r1_xreal_0(k9_group_1(k13_group_6(B,A,C)),k9_group_1(B))))))))) # label(t62_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10833 (all A (v1_group_1(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> r2_group_6(A,k6_group_6(A,k5_group_2(A))))) # label(t82_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10834 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_3(B,A) & m1_group_2(B,A) -> (all C (v1_funct_1(C) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(k6_group_6(A,B))) & v1_group_6(C,A,k6_group_6(A,B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k6_group_6(A,B))) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> k12_group_2(A,B,D) = k8_funct_2(u1_struct_0(A),u1_struct_0(k6_group_6(A,B)),C,D))) <-> k11_group_6(A,B) = C))))))) # label(d9_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10835 (all A all B (-v3_struct_0(A) & v1_group_1(A) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & v1_group_1(B) & -v3_struct_0(B) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> r2_group_6(A,A))) # label(reflexivity_r2_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10836 (all A all B all C (v4_group_1(A) & l1_group_1(A) & v4_group_1(B) & l1_group_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & v3_group_1(B) & -v3_struct_0(B) & v3_group_1(A) & -v3_struct_0(A) -> k2_relat_1(C) = k9_group_6(A,B,C))) # label(redefinition_k9_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10837 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (-v3_struct_0(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> (v2_funct_1(C) & u1_struct_0(B) = k9_group_6(A,B,C) <-> v4_group_6(C,A,B)))))))) # label(t70_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10838 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> v3_realset2(k6_group_6(A,k6_group_2(A))))) # label(t83_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10839 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) & v1_group_3(C,A) -> m1_subset_1(k12_group_2(A,C,B),u1_struct_0(k6_group_6(A,C))) & m1_subset_1(k7_group_2(A,C),u1_struct_0(k6_group_6(A,C))) & m1_subset_1(k13_group_2(A,C,B),u1_struct_0(k6_group_6(A,C))))))))) # label(t27_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10840 $T # label(t88_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10841 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & -v3_struct_0(B) -> (all C (m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (v2_group_6(C,A,B) <-> v2_funct_1(C)))))))) # label(d12_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10842 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (v1_group_1(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> (v4_group_6(C,A,B) -> v1_funct_2(k2_funct_1(C),u1_struct_0(B),u1_struct_0(A)) & m2_relset_1(k2_funct_1(C),u1_struct_0(B),u1_struct_0(A)) & v1_group_6(k2_funct_1(C),B,A) & v1_funct_1(k2_funct_1(C))))))))) # label(t72_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10843 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_group_6(D,A,B) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (C = E -> k12_group_2(B,D,E) = k12_group_2(A,D,C) & k13_group_2(A,D,C) = k13_group_2(B,D,E)))))))))))) # label(t2_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10844 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (l1_group_1(B) & v4_group_1(B) & v3_group_1(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 (v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(E,A,B) & m2_relset_1(E,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(E) -> k8_funct_2(u1_struct_0(A),u1_struct_0(B),E,k2_group_3(A,C,D)) = k2_group_3(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(t42_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10845 (all A (v1_group_1(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v1_group_1(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) -> (r2_group_6(A,B) & v6_group_1(A) -> k9_group_1(A) = k9_group_1(B)))))) # label(t86_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10846 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) & v1_group_3(B,A) -> k4_group_6(A,B) = u1_struct_0(k6_group_6(A,B)))))) # label(t22_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10847 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & -v3_struct_0(B) -> (all C (v1_group_6(C,B,A) & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v1_funct_1(C) -> (v3_group_1(B) & v7_group_1(B) & l1_group_1(B) & v4_group_1(B) & -v3_struct_0(B) -> v7_group_1(k13_group_6(B,A,C))))))))) # label(t60_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10848 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(D,A,B) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(D) -> (r1_rlvect_1(k12_group_6(A,B,D),C) <-> k8_funct_2(u1_struct_0(A),u1_struct_0(B),D,C) = k2_group_1(B)))))))))) # label(t50_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10849 (all A all B (v3_group_1(A) & l1_group_1(A) & -v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & v4_group_1(A) & -v3_struct_0(A) -> (exists C (m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_relat_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_partfun1(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & v1_funct_1(C) & -v1_xboole_0(C))))) # label(rc2_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10850 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) & v1_group_6(C,B,A) -> (v2_group_6(C,B,A) -> r1_group_6(B,k13_group_6(B,A,C))))))))) # label(t79_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10851 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) -> r2_group_6(k5_group_2(A),k5_group_2(B)))))) # label(t81_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10852 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_1(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & -v3_struct_0(B) -> (r2_group_6(A,B) -> k8_group_1(B) = k8_group_1(A)))))) # label(t84_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10853 (all A (-v1_xboole_0(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) -> (v2_funct_1(C) <-> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (k8_funct_2(A,B,C,E) = k8_funct_2(A,B,C,D) -> E = D)))))))))))) # label(t1_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10854 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B all C (m1_group_2(C,A) & v1_group_3(C,A) -> (r1_rlvect_1(k6_group_6(A,C),B) <-> (exists D (k12_group_2(A,C,D) = B & B = k13_group_2(A,C,D) & m1_subset_1(D,u1_struct_0(A))))))))) # label(t28_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10855 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v1_group_1(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) -> (v3_realset2(A) & v3_realset2(B) -> r2_group_6(A,B)))))) # label(t80_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10856 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v1_group_3(B,A) & m1_group_2(C,A) & m1_group_2(B,A) & v4_group_1(A) -> v1_group_1(k3_group_6(A,B,C)) & v1_group_3(k3_group_6(A,B,C),C) & m1_group_6(k3_group_6(A,B,C),A,C))) # label(dt_k3_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10857 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(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_group_6(C,A,B) & v1_funct_1(C) -> k9_group_6(A,B,C) = u1_struct_0(k13_group_6(A,B,C)))))))) # label(t53_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10858 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(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)) & v1_group_6(C,A,B) -> r1_group_2(B,k13_group_6(A,B,C),k5_group_4(B,k9_group_6(A,B,C))))))))) # label(t55_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10859 (exists A (v2_group_1(A) & v3_realset2(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) & l1_group_1(A))) # label(rc1_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10860 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (v1_group_3(C,A) & m1_group_2(C,A) -> v1_group_3(k9_group_2(A,B,C),B) & v1_group_3(k9_group_2(A,C,B),B) & m1_group_6(k9_group_2(A,C,B),A,B) & m1_group_6(k9_group_2(A,B,C),A,B))))))) # label(t10_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10861 (all A all B all C (-v3_struct_0(A) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> m1_group_2(k12_group_6(A,B,C),A) & v1_group_1(k12_group_6(A,B,C)))) # label(dt_k12_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10862 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> k2_group_1(B) = k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,k2_group_1(A)))))))) # label(t40_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10863 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) -> (all C all D (v1_group_6(D,B,A) & m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & v1_funct_1(D) -> (r1_rlvect_1(k13_group_6(B,A,D),C) <-> (exists E (m1_subset_1(E,u1_struct_0(B)) & C = k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,E)))))))))) # label(t54_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10864 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (-v3_struct_0(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(D,A,B) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(D) -> (v2_group_6(D,A,B) -> k1_funct_1(k2_funct_1(D),k8_funct_2(u1_struct_0(A),u1_struct_0(B),D,C)) = C))))))))) # label(t64_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10865 $T # label(t37_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10866 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> v4_group_6(k11_group_6(A,k5_group_2(A)),A,k6_group_6(A,k5_group_2(A))))) # label(t75_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10867 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(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)) & v1_group_6(C,A,B) -> (v4_group_6(C,A,B) -> k1_relat_1(C) = u1_struct_0(A) & k9_group_6(A,B,C) = u1_struct_0(B)))))))) # label(t71_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10868 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(D,A,B) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(D) -> (r1_rlvect_1(k13_group_6(A,B,D),C) & v2_group_6(D,A,B) -> k1_funct_1(D,k1_funct_1(k2_funct_1(D),C)) = C))))))))) # label(t63_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10869 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B all C (v1_group_3(C,A) & m1_group_2(C,A) -> (r2_hidden(B,k4_group_6(A,C)) -> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))))))) # label(t17_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10870 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (v1_funct_1(C) & v1_group_6(C,B,A) & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) -> (v2_group_6(C,B,A) -> v1_funct_1(k2_funct_1(C)) & m2_relset_1(k2_funct_1(C),u1_struct_0(k13_group_6(B,A,C)),u1_struct_0(B)) & v1_group_6(k2_funct_1(C),k13_group_6(B,A,C),B) & v1_funct_2(k2_funct_1(C),u1_struct_0(k13_group_6(B,A,C)),u1_struct_0(B))))))))) # label(t65_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10871 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) & v1_group_3(B,A) -> k14_group_2(A,B) = k4_group_6(A,B))))) # label(d3_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10872 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_6(C,A,B) -> (all D (m1_group_6(D,A,B) -> k9_group_2(A,C,D) = k9_group_2(B,C,D))))))))) # label(t3_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10873 $T # label(dt_k4_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10874 (all A (v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (v3_realset2(A) -> A = k5_group_2(A)))) # label(t13_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10875 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) -> (all C (v3_group_1(C) & l1_group_1(C) & v4_group_1(C) & -v3_struct_0(C) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v1_group_6(E,B,C) & m2_relset_1(E,u1_struct_0(B),u1_struct_0(C)) -> k8_funct_2(u1_struct_0(B),u1_struct_0(C),E,k6_group_1(B,A,D)) = k6_group_1(C,A,k8_funct_2(u1_struct_0(B),u1_struct_0(C),E,D)))))))))))) # label(t45_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10876 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) & v1_group_3(C,A) -> (m1_group_6(C,A,B) -> m1_group_6(C,A,B) & v1_group_3(C,B)))))))) # label(t9_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10877 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) & v1_group_3(B,A) -> u1_group_1(k6_group_6(A,B)) = k5_group_6(A,B))))) # label(t23_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10878 $T # label(t20_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10879 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) & v1_group_3(C,A) -> (m1_group_6(g1_group_1(u1_struct_0(C),u1_group_1(C)),A,B) -> g1_group_1(u1_struct_0(C),u1_group_1(C)) = k1_group_6(A,B,C)))))))) # label(d1_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10880 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & v1_group_1(B) -> (r1_group_6(A,B) -> r1_group_6(B,A)))))) # label(t77_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10881 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> v1_funct_2(k6_partfun1(u1_struct_0(A)),u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(k6_partfun1(u1_struct_0(A)),u1_struct_0(A),u1_struct_0(A)) & v1_group_6(k6_partfun1(u1_struct_0(A)),A,A) & v1_funct_1(k6_partfun1(u1_struct_0(A))))) # label(t47_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10882 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (v1_group_1(C) & m1_group_2(C,A) & v1_group_3(C,A) -> (m1_group_6(C,A,B) -> m1_group_2(k6_group_6(B,k1_group_6(A,B,C)),k6_group_6(A,C))))))))) # label(t34_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10883 (all A all B (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & m1_group_2(B,A) & v1_group_3(B,A) & l1_group_1(A) -> -v1_xboole_0(k4_group_6(A,B)))) # label(fc3_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10884 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & m1_subset_1(C,u1_struct_0(k6_group_6(A,B))) & m1_group_2(B,A) & v1_group_3(B,A) & v4_group_1(A) -> m1_subset_1(k7_group_6(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k7_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10885 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) & v1_group_3(B,A) -> (all C (m1_subset_1(C,u1_struct_0(k6_group_6(A,B))) -> (exists D (C = k13_group_2(A,B,D) & C = k12_group_2(A,B,D) & m1_subset_1(D,u1_struct_0(A)))))))))) # label(t26_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10886 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) -> (all C (v1_group_6(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (v3_group_6(C,A,B) & v2_group_6(C,A,B) <-> v4_group_6(C,A,B)))))))) # label(d14_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10887 (all A all B (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) & l1_group_1(A) & v3_group_1(A) -> r1_group_6(A,A))) # label(reflexivity_r1_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10888 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v1_funct_1(C) & v1_group_6(C,A,B) & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v3_group_1(B) -> v1_group_1(k12_group_6(A,B,C)) & v2_group_1(k12_group_6(A,B,C)) & v4_group_1(k12_group_6(A,B,C)) & v1_group_3(k12_group_6(A,B,C),A) & v3_group_1(k12_group_6(A,B,C)) & -v3_struct_0(k12_group_6(A,B,C)))) # label(fc6_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10889 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (-v3_struct_0(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) -> (all C (v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (k10_group_6(A,B) = C <-> (all D (m1_subset_1(D,u1_struct_0(A)) -> k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D) = k2_group_1(B)))))))))) # label(d8_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10890 (all A (l1_struct_0(A) & -v3_struct_0(A) -> (v3_realset2(A) <-> (exists B u1_struct_0(A) = k1_tarski(B))))) # label(d2_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10891 $T # label(t19_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10892 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & v1_group_1(B) -> (all C (v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (v3_group_6(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(t68_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10893 (all A all B (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & -v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & v1_group_1(B) & l1_group_1(A) & v4_group_1(A) -> (r2_group_6(A,B) -> r2_group_6(B,A)))) # label(symmetry_r2_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10894 (all A all B (-v3_struct_0(A) & v4_group_1(A) & v1_group_3(B,A) & m1_group_2(B,A) & l1_group_1(A) & v3_group_1(A) -> v1_group_1(k6_group_6(A,B)) & v4_group_1(k6_group_6(A,B)) & v3_group_1(k6_group_6(A,B)) & v2_group_1(k6_group_6(A,B)) & -v3_struct_0(k6_group_6(A,B)))) # label(fc5_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10895 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & v1_group_1(A) -> (all B (v1_group_1(B) & v1_group_3(B,A) & m1_group_2(B,A) -> (m1_group_6(k9_group_5(A),A,B) <-> v3_group_1(k6_group_6(A,B)) & v7_group_1(k6_group_6(A,B)) & l1_group_1(k6_group_6(A,B)) & v4_group_1(k6_group_6(A,B)) & -v3_struct_0(k6_group_6(A,B))))))) # label(t36_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10896 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (-v3_struct_0(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) -> (k9_group_6(A,B,C) = u1_struct_0(B) <-> v3_group_6(C,A,B)))))))) # label(d13_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10897 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & -v3_struct_0(B) -> (all C (v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) & v1_group_6(C,B,A) & v1_funct_1(C) -> v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(k13_group_6(B,A,C))) & m2_relset_1(C,u1_struct_0(B),u1_struct_0(k13_group_6(B,A,C))) & v1_group_6(C,B,k13_group_6(B,A,C)))))))) # label(t58_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10898 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) & v1_group_3(B,A) -> k15_group_2(A,B) = k4_group_6(A,B) & k4_group_6(A,B) = k14_group_2(A,B))))) # label(t14_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10899 (all A all B all C (l1_group_1(A) & m1_group_2(B,A) & m1_group_2(C,A) & v1_group_3(B,A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> k3_group_6(A,B,C) = k8_group_2(A,B,C))) # label(redefinition_k3_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10900 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) -> (all C (v1_group_6(C,B,A) & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v1_funct_1(C) -> (v6_group_1(B) -> v6_group_1(k13_group_6(B,A,C))))))))) # label(t59_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10901 (all A all B all C (v3_group_1(A) & v4_group_1(A) & -v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) & l1_group_1(B) & l1_group_1(A) & -v3_struct_0(A) -> m1_group_2(k13_group_6(A,B,C),B) & v1_group_1(k13_group_6(A,B,C)))) # label(dt_k13_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10902 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & -v3_struct_0(B) -> (all C (v1_group_6(C,B,A) & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v1_funct_1(C) -> (exists D (v1_funct_2(D,u1_struct_0(k6_group_6(B,k12_group_6(B,A,C))),u1_struct_0(k13_group_6(B,A,C))) & v1_group_6(D,k6_group_6(B,k12_group_6(B,A,C)),k13_group_6(B,A,C)) & m2_relset_1(D,u1_struct_0(k6_group_6(B,k12_group_6(B,A,C))),u1_struct_0(k13_group_6(B,A,C))) & k8_group_6(B,k6_group_6(B,k12_group_6(B,A,C)),k13_group_6(B,A,C),k11_group_6(B,k12_group_6(B,A,C)),D) = C & v4_group_6(D,k6_group_6(B,k12_group_6(B,A,C)),k13_group_6(B,A,C)) & v1_funct_1(D))))))))) # label(t91_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10903 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & v1_group_1(A) -> (all B (-v3_struct_0(B) & v1_group_1(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) -> k12_group_6(A,B,k10_group_6(A,B)) = A)))) # label(t51_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10904 $T # label(t39_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10905 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_3(B,A) & m1_group_2(B,A) -> k2_group_1(k6_group_6(A,B)) = k7_group_2(A,B))))) # label(t29_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10906 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) -> r1_group_2(B,k13_group_6(A,B,k10_group_6(A,B)),k5_group_2(B)))))) # label(t56_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10907 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (v1_group_3(B,A) & m1_group_2(B,A) -> k6_group_6(A,B) = g1_group_1(k4_group_6(A,B),k5_group_6(A,B)))))) # label(d5_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10908 $T # label(t21_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10909 (all A all B (v4_group_1(A) & l1_group_1(A) & v1_group_3(B,A) & m1_group_2(B,A) & v3_group_1(A) & -v3_struct_0(A) -> v1_funct_2(k5_group_6(A,B),k2_zfmisc_1(k4_group_6(A,B),k4_group_6(A,B)),k4_group_6(A,B)) & m2_relset_1(k5_group_6(A,B),k2_zfmisc_1(k4_group_6(A,B),k4_group_6(A,B)),k4_group_6(A,B)) & v1_funct_1(k5_group_6(A,B)))) # label(dt_k5_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10910 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) & v1_group_3(B,A) -> (all C (m1_subset_1(C,u1_struct_0(k6_group_6(A,B))) -> (all D (m1_subset_1(D,u1_struct_0(k6_group_6(A,B))) -> k2_group_2(A,k7_group_6(A,B,C),k7_group_6(A,B,D)) = k7_group_6(A,B,k1_group_1(k6_group_6(A,B),C,D)))))))))) # label(t25_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10911 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) -> (all C (-v3_struct_0(C) & v3_group_1(C) & l1_group_1(C) & v4_group_1(C) -> (all D (m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(D,A,B) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(D) -> (all E (v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & m2_relset_1(E,u1_struct_0(B),u1_struct_0(C)) & v1_group_6(E,B,C) & v1_funct_1(E) -> (v4_group_6(D,A,B) & v4_group_6(E,B,C) -> v4_group_6(k8_group_6(A,B,C,D,E),A,C)))))))))))) # label(t74_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10912 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & v1_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> r1_rlvect_1(B,k2_group_5(A,C,D)))))) <-> m1_group_6(k9_group_5(A),A,B)))))) # label(t8_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10913 $T # label(t5_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10914 (all A all B (-v3_struct_0(A) & l1_group_1(A) & m1_group_2(B,A) & v4_group_1(A) & v3_group_1(A) -> (all C (m1_group_2(C,B) <-> m1_group_6(C,A,B))))) # label(redefinition_m1_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10915 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & v1_group_1(B) & -v3_struct_0(B) -> (all C (v1_group_6(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (v3_group_6(C,A,B) <-> k13_group_6(A,B,C) = B))))))) # label(t67_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10916 (all A all B (v4_group_1(A) & m1_group_2(B,A) & v1_group_3(B,A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> v1_funct_2(k11_group_6(A,B),u1_struct_0(A),u1_struct_0(k6_group_6(A,B))) & v1_group_6(k11_group_6(A,B),A,k6_group_6(A,B)) & m2_relset_1(k11_group_6(A,B),u1_struct_0(A),u1_struct_0(k6_group_6(A,B))) & v1_funct_1(k11_group_6(A,B)))) # label(dt_k11_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10917 (all A all B (v3_group_1(A) & v4_group_1(A) & m1_group_2(B,A) & v1_group_3(B,A) & l1_group_1(A) & -v3_struct_0(A) -> -v3_struct_0(k6_group_6(A,B)) & v1_group_1(k6_group_6(A,B)))) # label(fc4_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10918 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> v3_realset2(k5_group_2(A)))) # label(t11_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10919 $T # label(t38_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10920 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> -v3_struct_0(k5_group_2(A)) & v2_group_1(k5_group_2(A)) & v3_group_1(k5_group_2(A)) & v1_group_3(k5_group_2(A),A) & v4_group_1(k5_group_2(A)) & v1_group_1(k5_group_2(A)))) # label(fc1_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10921 (all A all B (v1_group_3(B,A) & m1_group_2(B,A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> l1_group_1(k6_group_6(A,B)))) # label(dt_k6_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10922 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all 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))) -> (all D (v1_group_3(D,A) & m1_group_2(D,A) -> (r2_hidden(B,k4_group_6(A,D)) & r2_hidden(C,k4_group_6(A,D)) -> r2_hidden(k2_group_2(A,B,C),k4_group_6(A,D))))))))))) # label(t18_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10923 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) & v1_group_3(B,A) -> (all C (v1_group_1(C) & v1_group_3(C,A) & m1_group_2(C,A) -> (all D (v1_group_3(D,k6_group_6(A,C)) & m1_group_2(D,k6_group_6(A,C)) & v1_group_1(D) -> (m1_group_6(C,A,B) & k6_group_6(B,k1_group_6(A,B,C)) = D -> r2_group_6(k6_group_6(k6_group_6(A,C),D),k6_group_6(A,B))))))))))) # label(t92_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10924 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B all C (v1_group_3(C,A) & m1_group_2(C,A) -> -(r2_hidden(B,k4_group_6(A,C)) & (all D (m1_subset_1(D,u1_struct_0(A)) -> -(k13_group_2(A,C,D) = B & B = k12_group_2(A,C,D))))))))) # label(t15_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10925 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(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(A)) -> (all F (v1_funct_2(F,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(F,A,B) & m2_relset_1(F,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(F) -> k8_funct_2(u1_struct_0(A),u1_struct_0(B),F,k3_group_5(A,C,D,E)) = k3_group_5(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),F,C),k8_funct_2(u1_struct_0(A),u1_struct_0(B),F,D),k8_funct_2(u1_struct_0(A),u1_struct_0(B),F,E)))))))))))))) # label(t44_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10926 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) & v1_group_3(B,A) -> (v1_finset_1(k14_group_2(A,B)) -> k17_group_2(A,B) = k9_group_1(k6_group_6(A,B))))))) # label(t33_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10927 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_group_2(B,A) & v1_group_3(B,A) -> (all C (m1_subset_1(C,u1_struct_0(k6_group_6(A,B))) -> k7_group_6(A,B,C) = C)))))) # label(d6_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10928 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) & v1_group_3(C,A) -> r2_hidden(k12_group_2(A,C,B),k4_group_6(A,C)) & r2_hidden(k13_group_2(A,C,B),k4_group_6(A,C)))))))) # label(t16_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10929 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all B (l1_group_1(B) & -v3_struct_0(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)) -> (v1_group_6(C,A,B) <-> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> k1_group_1(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,k1_group_1(A,D,E))))))))))))) # label(d7_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10930 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) & v1_group_3(B,A) -> k16_group_2(A,B) = k8_group_1(k6_group_6(A,B)))))) # label(t32_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10931 (all A all B all C (v3_group_1(A) & m1_group_2(B,A) & m1_group_2(C,A) & v1_group_3(C,A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> v1_group_1(k2_group_6(A,B,C)) & v1_group_3(k2_group_6(A,B,C),B) & m1_group_6(k2_group_6(A,B,C),A,B))) # label(dt_k2_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.90	10932 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(E,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(E,A,B) & v1_funct_1(E) -> k8_funct_2(u1_struct_0(A),u1_struct_0(B),E,k2_group_5(A,C,D)) = k2_group_5(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(t43_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10933 (all A (v1_int_1(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) -> (all C (-v3_struct_0(C) & v3_group_1(C) & v4_group_1(C) & l1_group_1(C) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (v1_funct_1(E) & v1_group_6(E,B,C) & m2_relset_1(E,u1_struct_0(B),u1_struct_0(C)) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) -> k8_funct_2(u1_struct_0(B),u1_struct_0(C),E,k6_group_1(B,A,D)) = k6_group_1(C,A,k8_funct_2(u1_struct_0(B),u1_struct_0(C),E,D)))))))))))) # label(t46_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10934 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (-v3_struct_0(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) -> (r1_group_6(A,B) <-> (exists C (v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & v4_group_6(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C)))))))) # label(d15_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10935 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_3(B,A) & m1_group_2(B,A) -> (v1_finset_1(k14_group_2(A,B)) -> v6_group_1(k6_group_6(A,B))))))) # label(t31_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10936 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(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)) -> k1_group_1(A,B,k1_group_1(A,C,k3_group_1(A,B))) = k2_group_3(A,C,k3_group_1(A,B)) & k1_group_1(A,k1_group_1(A,B,C),k3_group_1(A,B)) = k2_group_3(A,C,k3_group_1(A,B)))))))) # label(t4_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10937 (all A all B all C all D all E (l1_group_1(A) & -v3_struct_0(B) & v3_group_1(B) & -v3_struct_0(C) & v3_group_1(C) & v4_group_1(C) & l1_group_1(C) & v1_funct_1(D) & v1_group_6(D,A,B) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v1_group_6(E,B,C) & m1_relset_1(E,u1_struct_0(B),u1_struct_0(C)) & v1_funct_1(E) & m1_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & l1_group_1(B) & v4_group_1(B) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> v1_funct_1(k8_group_6(A,B,C,D,E)) & v1_funct_2(k8_group_6(A,B,C,D,E),u1_struct_0(A),u1_struct_0(C)) & v1_group_6(k8_group_6(A,B,C,D,E),A,C) & m2_relset_1(k8_group_6(A,B,C,D,E),u1_struct_0(A),u1_struct_0(C)))) # label(dt_k8_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10938 (all A all B (-v3_struct_0(A) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> v1_funct_1(k10_group_6(A,B)) & v1_group_6(k10_group_6(A,B),A,B) & m2_relset_1(k10_group_6(A,B),u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(k10_group_6(A,B),u1_struct_0(A),u1_struct_0(B)))) # label(dt_k10_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10939 (all A all B all C (v3_group_1(A) & l1_group_1(A) & m1_group_2(B,A) & m1_group_2(C,A) & v1_group_3(C,A) & v4_group_1(A) & -v3_struct_0(A) -> k2_group_6(A,B,C) = k8_group_2(A,B,C))) # label(redefinition_k2_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10940 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) & v1_group_6(C,B,A) -> r1_tarski(k8_group_1(k13_group_6(B,A,C)),k8_group_1(B)))))))) # label(t61_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10941 (all A all B all C (-v3_struct_0(A) & v4_group_1(A) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) & l1_group_1(A) & v3_group_1(A) -> m1_subset_1(k9_group_6(A,B,C),k1_zfmisc_1(u1_struct_0(B))))) # label(dt_k9_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10942 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & -v3_struct_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v1_group_6(C,B,A) & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) -> (r1_group_2(B,k12_group_6(B,A,C),k5_group_2(B)) <-> v2_group_6(C,B,A)))))))) # label(t66_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10943 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) -> (all C (-v3_struct_0(C) & v3_group_1(C) & l1_group_1(C) & v4_group_1(C) -> (r1_group_6(A,B) & r1_group_6(B,C) -> r1_group_6(A,C)))))))) # label(t78_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10944 (all A all B (m1_group_2(B,A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all C (m1_group_6(C,A,B) -> m1_group_2(C,A))))) # label(dt_m1_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10945 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (v1_group_1(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & -v3_struct_0(B) -> (r1_group_6(A,B) & -v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v7_group_1(A) & v4_group_1(A) -> v3_group_1(B) & v7_group_1(B) & l1_group_1(B) & v4_group_1(B) & -v3_struct_0(B)))))) # label(t89_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10946 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (k9_group_1(A) = np__1 & v6_group_1(A) <-> v3_realset2(A)))) # label(t12_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10947 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_3(B,A) & m1_group_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(k6_group_6(A,B))) -> (all D (m1_subset_1(D,u1_struct_0(k6_group_6(A,B))) -> k2_group_2(A,k7_group_6(A,B,C),k7_group_6(A,B,D)) = k1_group_1(k6_group_6(A,B),C,D))))))))) # label(t24_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10948 (all A all B all C all D (v4_group_1(B) & l1_group_1(B) & v4_group_1(C) & m2_relset_1(D,u1_struct_0(B),u1_struct_0(C)) & v1_group_6(D,B,C) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v1_funct_1(D) & l1_group_1(C) & v3_group_1(C) & -v3_struct_0(C) & v3_group_1(B) & -v3_struct_0(B) -> (r2_hidden(A,a_3_0_group_6(B,C,D)) <-> (exists E (m1_subset_1(E,u1_struct_0(B)) & E = A & k8_funct_2(u1_struct_0(B),u1_struct_0(C),D,E) = k2_group_1(C)))))) # label(fraenkel_a_3_0_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10949 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) & v1_group_6(C,B,A) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) -> r2_group_6(k6_group_6(B,k12_group_6(B,A,C)),k13_group_6(B,A,C)))))))) # label(t90_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10950 (all A all B all C (-v3_struct_0(A) & m1_group_2(B,A) & v1_group_3(C,A) & m1_group_2(C,A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> v1_group_3(k1_group_6(A,B,C),B) & m1_group_6(k1_group_6(A,B,C),A,B) & v1_group_1(k1_group_6(A,B,C)))) # label(dt_k1_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10951 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) & v1_group_3(B,A) -> k13_group_6(A,k6_group_6(A,B),k11_group_6(A,B)) = k6_group_6(A,B))))) # label(t57_group_6) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10952 (all A (l1_metric_1(A) -> (v2_compts_1(k5_pcomps_1(A)) <-> v2_topmetr(A)))) # label(d6_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10953 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(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))) -> (r2_hidden(B,C) -> (all D (m1_connsp_2(D,A,B) -> (all E (m1_subset_1(E,u1_struct_0(k3_pre_topc(A,C))) -> (all F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k3_pre_topc(A,C)))) -> (E = B & F = k5_subset_1(u1_struct_0(A),D,C) -> m1_connsp_2(F,k3_pre_topc(A,C),E))))))))))))))) # label(t6_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10954 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) -> (all C (v2_pre_topc(C) & l1_pre_topc(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(C)) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(C)) -> (v5_pre_topc(D,A,C) & m1_pre_topc(C,B) -> (all E (m2_relset_1(E,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(E) -> (D = E -> v5_pre_topc(E,A,B))))))))))))) # label(t7_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10955 (all A (m1_subset_1(A,u1_struct_0(k8_metric_1)) -> (all B (m1_subset_1(B,u1_struct_0(k8_metric_1)) -> (all C (v1_xreal_0(C) -> (all D (v1_xreal_0(D) -> (C = A & B = D -> k4_metric_1(k8_metric_1,A,B) = k18_complex1(k6_xcmplx_0(C,D))))))))))) # label(t15_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10956 (all A (v1_xreal_0(A) -> (all B (v1_xreal_0(B) -> k4_topmetr(A,B) = k5_pcomps_1(k2_topmetr(A,B)))))) # label(d8_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10957 (all A (v1_xreal_0(A) -> (all B (v9_metric_1(B) & l1_metric_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k5_pcomps_1(B)))) -> (k9_metric_1(B,C,A) = D -> v3_pre_topc(D,k5_pcomps_1(B))))))))))) # label(t21_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10958 (all A (v1_xreal_0(A) -> (all B (l1_metric_1(B) & v9_metric_1(B) & v8_metric_1(B) & v7_metric_1(B) & v6_metric_1(B) -> (all C (m1_topmetr(C,B) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(C)) -> (D = E -> k3_xboole_0(k9_metric_1(B,D,A),u1_struct_0(C)) = k9_metric_1(C,E,A)))))))))))) # label(t13_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10959 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) -> (r1_tarski(u1_struct_0(B),u1_struct_0(C)) -> m1_pre_topc(B,C)))))))) # label(t4_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10960 $T # label(t18_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10961 (all A (l1_metric_1(A) & v9_metric_1(A) & v8_metric_1(A) & v7_metric_1(A) & v6_metric_1(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_metric_1(C) & m1_topmetr(C,A) -> (u1_struct_0(C) = B <-> k1_topmetr(A,B) = C))))))) # label(d2_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10962 (all A all B (v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & l1_metric_1(A) & v9_metric_1(A) & -v3_struct_0(A) -> v1_metric_1(k1_topmetr(A,B)) & m1_topmetr(k1_topmetr(A,B),A))) # label(dt_k1_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10963 (all A (v1_xreal_0(A) -> (all B (v1_xreal_0(B) -> (r1_xreal_0(A,B) -> k1_rcomp_1(A,B) = u1_struct_0(k4_topmetr(A,B))))))) # label(t25_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10964 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all 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))) -> m1_pre_topc(k3_pre_topc(A,C),k3_pre_topc(A,k4_subset_1(u1_struct_0(A),B,C))) & m1_pre_topc(k3_pre_topc(A,B),k3_pre_topc(A,k4_subset_1(u1_struct_0(A),B,C))))))))) # label(t5_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10965 (all A (l1_metric_1(A) -> u1_pre_topc(k5_pcomps_1(A)) = k4_pcomps_1(A) & u1_struct_0(A) = u1_struct_0(k5_pcomps_1(A)))) # label(t16_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10966 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (r1_tarski(u1_struct_0(A),k5_setfam_1(u1_struct_0(A),B)) <-> r1_pre_topc(A,B)))))) # label(t1_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10967 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k14_euclid(A)))) & -v1_xboole_0(C) -> (C = B -> k5_pcomps_1(k1_topmetr(k14_euclid(A),C)) = k3_pre_topc(k15_euclid(A),B)))))))) # label(t20_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10968 (all A (-v3_struct_0(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v7_metric_1(A) -> (all B (m1_topmetr(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> m1_subset_1(C,u1_struct_0(A)))))))) # label(t12_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10969 (all A (v6_metric_1(A) & v7_metric_1(A) & l1_metric_1(A) & v9_metric_1(A) & v8_metric_1(A) -> (exists B m1_topmetr(B,A)))) # label(existence_m1_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10970 (all A (l1_metric_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (r1_tarski(u1_struct_0(A),k5_setfam_1(u1_struct_0(A),B)) <-> r1_topmetr(A,B)))))) # label(d5_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10971 $T # label(t17_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10972 (all A (v1_xreal_0(A) -> (all B (v1_xreal_0(B) -> (r1_xreal_0(A,B) -> (all C (-v3_struct_0(C) & m1_topmetr(C,k8_metric_1) & v1_metric_1(C) -> (C = k2_topmetr(A,B) <-> (all D (-v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k8_metric_1))) -> (D = k1_rcomp_1(A,B) -> k1_topmetr(k8_metric_1,D) = C))))))))))) # label(d3_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10973 (all A (v9_metric_1(A) & l1_metric_1(A) & v8_metric_1(A) & v7_metric_1(A) & v6_metric_1(A) & -v3_struct_0(A) -> (all B (m1_topmetr(B,A) & -v3_struct_0(B) -> m1_pre_topc(k5_pcomps_1(B),k5_pcomps_1(A)))))) # label(t19_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10974 (all A all B (v1_xreal_0(A) & v1_xreal_0(B) -> -v3_struct_0(k4_topmetr(A,B)) & v1_pre_topc(k4_topmetr(A,B)) & m1_pre_topc(k4_topmetr(A,B),k3_topmetr))) # label(dt_k4_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10975 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(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) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (v5_pre_topc(C,A,B) -> (all E (m2_relset_1(E,u1_struct_0(A),u1_struct_0(k3_pre_topc(B,D))) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(k3_pre_topc(B,D))) & v1_funct_1(E) -> (E = C -> v5_pre_topc(E,A,k3_pre_topc(B,D)))))))))))))) # label(t9_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10976 (all A (m2_relset_1(A,u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr)) & v1_funct_2(A,u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr)) & v1_funct_1(A) -> ((exists B ((exists C ((all D (m1_subset_1(D,k1_numbers) -> k1_funct_1(A,D) = k3_real_1(k4_real_1(B,D),C))) & m1_subset_1(C,k1_numbers))) & m1_subset_1(B,k1_numbers))) -> v5_pre_topc(A,k3_topmetr,k3_topmetr)))) # label(t28_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10977 $T # label(t11_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10978 (all A (v6_metric_1(A) & v8_metric_1(A) & l1_metric_1(A) & v9_metric_1(A) & v7_metric_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k5_pcomps_1(A)))) -> (v3_pre_topc(B,k5_pcomps_1(A)) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> -((all D (v1_xreal_0(D) -> -(-r1_xreal_0(D,np__0) & r1_tarski(k9_metric_1(A,C,D),B)))) & r2_hidden(C,B))))))))) # label(t22_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10979 (all A all B all C (v1_funct_1(B) & m1_relset_1(B,A,u1_struct_0(k3_topmetr)) -> v1_xcmplx_0(k1_funct_1(B,C)) & v1_xreal_0(k1_funct_1(B,C)))) # label(fc3_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10980 (all A (v1_xreal_0(A) -> (all B (v1_xreal_0(B) -> (r1_xreal_0(A,B) -> u1_struct_0(k2_topmetr(A,B)) = k1_rcomp_1(A,B)))))) # label(t14_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10981 (all A (v1_xreal_0(A) -> (all B (v1_xreal_0(B) -> (r1_xreal_0(A,B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_topmetr))) -> (C = k1_rcomp_1(A,B) -> k3_pre_topc(k3_topmetr,C) = k4_topmetr(A,B))))))))) # label(t26_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10982 (all A all B (v7_metric_1(A) & v9_metric_1(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_metric_1(A) & v8_metric_1(A) & v6_metric_1(A) & -v3_struct_0(A) -> v9_metric_1(k1_topmetr(A,B)) & v8_metric_1(k1_topmetr(A,B)) & v7_metric_1(k1_topmetr(A,B)) & v6_metric_1(k1_topmetr(A,B)) & v1_metric_1(k1_topmetr(A,B)) & -v3_struct_0(k1_topmetr(A,B)))) # label(fc1_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10983 (all A (-v3_struct_0(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v7_metric_1(A) & v6_metric_1(A) -> ((all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(v1_topmetr(B,A) & (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(v1_finset_1(C) & r1_topmetr(A,C) & r1_tarski(C,B)))) & r1_topmetr(A,B)))) <-> v2_topmetr(A)))) # label(t23_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10984 (all A (l1_metric_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> ((all C -((all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,k1_numbers) -> k9_metric_1(A,D,E) != C)))) & r2_hidden(C,B))) <-> v1_topmetr(B,A)))))) # label(d4_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10985 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(D) -> (all E (v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k3_pre_topc(A,C)),u1_struct_0(B)) & m2_relset_1(E,u1_struct_0(k3_pre_topc(A,C)),u1_struct_0(B)) -> (E = k2_partfun1(u1_struct_0(A),u1_struct_0(B),D,C) & v5_pre_topc(D,A,B) -> v5_pre_topc(E,k3_pre_topc(A,C),B)))))))))))) # label(t10_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10986 (all A (-v3_struct_0(A) & v6_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v8_metric_1(A) & v7_metric_1(A) -> (exists B (v7_metric_1(B) & v9_metric_1(B) & v8_metric_1(B) & v6_metric_1(B) & v1_metric_1(B) & -v3_struct_0(B) & m1_topmetr(B,A))))) # label(rc2_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10987 (all A (v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) -> (all B (v6_metric_1(B) & l1_metric_1(B) & v9_metric_1(B) & v8_metric_1(B) & v7_metric_1(B) -> (m1_topmetr(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> k1_binop_1(u1_metric_1(A),C,D) = k1_metric_1(u1_struct_0(B),u1_struct_0(B),u1_metric_1(B),C,D))))) & r1_tarski(u1_struct_0(B),u1_struct_0(A))))))) # label(d1_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10988 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> m1_subset_1(C,u1_struct_0(A)))))))) # label(t2_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10989 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) & -v3_struct_0(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)) -> (all D (m1_pre_topc(D,B) -> (v5_pre_topc(C,A,B) -> (all E (v1_funct_2(E,u1_struct_0(A),u1_struct_0(D)) & m2_relset_1(E,u1_struct_0(A),u1_struct_0(D)) & v1_funct_1(E) -> (E = C -> v5_pre_topc(E,A,D))))))))))))) # label(t8_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10990 (all A (v6_metric_1(A) & v7_metric_1(A) & l1_metric_1(A) & v9_metric_1(A) & v8_metric_1(A) -> (all B (m1_topmetr(B,A) -> v9_metric_1(B) & l1_metric_1(B) & v8_metric_1(B) & v7_metric_1(B) & v6_metric_1(B))))) # label(dt_m1_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10991 (all A (v6_metric_1(A) & v7_metric_1(A) & l1_metric_1(A) & v9_metric_1(A) & v8_metric_1(A) -> (exists B (v8_metric_1(B) & v9_metric_1(B) & v7_metric_1(B) & v6_metric_1(B) & v1_metric_1(B) & m1_topmetr(B,A))))) # label(rc1_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10992 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (v3_compts_1(A) -> v3_compts_1(B)))))) # label(t3_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10993 (all A all B (v1_xreal_0(B) & v1_xreal_0(A) -> m1_topmetr(k2_topmetr(A,B),k8_metric_1) & v1_metric_1(k2_topmetr(A,B)) & -v3_struct_0(k2_topmetr(A,B)))) # label(dt_k2_topmetr) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10994 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> k2_xcmplx_0(A,B) = k1_binop_1(k44_binop_2,A,B))))) # label(t14_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10995 $T # label(t1_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10996 $T # label(t3_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10997 (all A (m2_relset_1(A,k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers) & v1_funct_2(A,k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers) & v1_funct_1(A) -> ((all B (m1_subset_1(B,k4_numbers) -> (all C (m1_subset_1(C,k4_numbers) -> k1_binop_1(k33_binop_2,B,C) = k2_binop_1(k4_numbers,k4_numbers,k4_numbers,A,B,C))))) <-> A = k44_binop_2))) # label(d2_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10998 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (-r1_xreal_0(A,np__0) -> v4_group_1(k5_gr_cy_1(A)) & v1_gr_cy_1(k5_gr_cy_1(A)) & l1_group_1(k5_gr_cy_1(A)) & v3_group_1(k5_gr_cy_1(A)) & -v3_struct_0(k5_gr_cy_1(A))))) # label(t49_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	10999 (all A (v4_ordinal2(A) -> (-r1_xreal_0(A,np__0) -> g1_group_1(k1_gr_cy_1(A),k4_gr_cy_1(A)) = k5_gr_cy_1(A)))) # label(d6_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11000 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (-r1_xreal_0(A,np__0) -> (-r1_xreal_0(A,B) <-> r2_hidden(B,k1_gr_cy_1(A)))))))) # label(t10_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11001 (all A (v1_int_1(A) -> A = k7_gr_cy_1(A))) # label(d8_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11002 (all A (m1_subset_1(A,u1_struct_0(k3_gr_cy_1)) -> A = k6_gr_cy_1(A))) # label(d7_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11003 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r1_xreal_0(A,B) -> r1_tarski(k1_gr_cy_1(A),k1_gr_cy_1(B)) | r1_xreal_0(A,np__0)))))) # label(t51_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11004 (all A (m1_subset_1(A,k4_numbers) -> (all B (m2_finseq_1(B,k4_numbers) -> k2_xcmplx_0(k2_gr_cy_1(B),k2_group_4(A)) = k2_gr_cy_1(k8_finseq_1(k4_numbers,B,k12_finseq_1(k4_numbers,A))))))) # label(t20_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11005 (all A (m1_finseq_1(A,k4_numbers) -> v1_int_1(k2_gr_cy_1(A)))) # label(dt_k2_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11006 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & v1_group_1(B) -> (v6_group_1(B) & v1_int_2(A) & A = k9_group_1(B) -> l1_group_1(B) & v1_gr_cy_1(B) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B)))))) # label(t45_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11007 $T # label(t17_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11008 $T # label(t18_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11009 $T # label(t6_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11010 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(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_rlvect_1(k5_group_4(A,k1_struct_0(A,C)),B) <-> (exists D (B = k6_group_1(A,D,C) & v1_int_1(D)))))))))) # label(t25_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11011 (all A (m1_subset_1(A,k4_numbers) -> (np__0 = A -> r3_binop_1(k4_numbers,A,k44_binop_2)))) # label(t15_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11012 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v6_group_1(A) -> k6_group_1(A,k9_group_1(A),B) = k2_group_1(A)))))) # label(t29_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11013 (all A (m1_subset_1(A,u1_struct_0(k3_gr_cy_1)) -> v1_int_1(k6_gr_cy_1(A)))) # label(dt_k6_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11014 (all A (v4_ordinal2(A) -> (-r1_xreal_0(A,np__0) -> np__0 = k2_group_1(k5_gr_cy_1(A))))) # label(t36_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11015 $T # label(t8_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11016 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v1_group_1(A) -> -(-r1_xreal_0(k9_group_1(A),np__1) & (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k2_group_1(A)))))) # label(t31_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11017 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (v1_gr_cy_1(A) <-> (exists B (m1_subset_1(B,u1_struct_0(A)) & g1_group_1(u1_struct_0(A),u1_group_1(A)) = k5_group_4(A,k1_struct_0(A,B))))))) # label(d9_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11018 (exists A (l1_group_1(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & v1_gr_cy_1(A) & v2_group_1(A) & -v3_struct_0(A))) # label(rc1_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11019 $T # label(t2_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11020 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> (v6_group_1(A) & v3_group_1(A) & v1_gr_cy_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> v3_group_1(B) & v4_group_1(B) & v1_gr_cy_1(B) & l1_group_1(B) & -v3_struct_0(B)))))) # label(t44_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11021 (all A (m1_subset_1(A,k4_numbers) -> A = k2_gr_cy_1(k12_finseq_1(k4_numbers,A)))) # label(t21_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11022 (all A (v4_ordinal2(A) -> (-r1_xreal_0(A,np__0) -> v3_group_1(g1_group_1(k1_gr_cy_1(A),k4_gr_cy_1(A))) & v4_group_1(g1_group_1(k1_gr_cy_1(A),k4_gr_cy_1(A)))))) # label(t34_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11023 $T # label(t47_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11024 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & v1_group_1(A) -> (v6_group_1(A) -> ((exists B (m1_subset_1(B,u1_struct_0(A)) & k9_group_1(A) = k7_group_1(A,B))) <-> v3_group_1(A) & l1_group_1(A) & v1_gr_cy_1(A) & v4_group_1(A) & -v3_struct_0(A))))) # label(t43_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11025 (all A (m1_subset_1(A,u1_struct_0(k3_gr_cy_1)) -> (A = np__1 -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> B = k6_group_1(k3_gr_cy_1,B,A)))))) # label(t38_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11026 (all A (m1_subset_1(A,u1_struct_0(k3_gr_cy_1)) -> k3_group_1(k3_gr_cy_1,A) = k4_xcmplx_0(k6_gr_cy_1(A)))) # label(t37_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11027 $T # label(t23_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11028 (all A (v4_ordinal2(A) -> (-r1_xreal_0(A,np__0) -> k1_gr_cy_1(A) = a_1_0_gr_cy_1(A)))) # label(d1_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11029 (all A (m1_subset_1(A,u1_struct_0(k3_gr_cy_1)) -> (all B (v1_int_1(B) -> (np__1 = A -> k6_group_1(k3_gr_cy_1,B,A) = B))))) # label(t39_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11030 (all A (v4_ordinal2(A) -> (-r1_xreal_0(A,np__0) -> (all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_gr_cy_1(A),k1_gr_cy_1(A)),k1_gr_cy_1(A)) & m2_relset_1(B,k2_zfmisc_1(k1_gr_cy_1(A),k1_gr_cy_1(A)),k1_gr_cy_1(A)) -> ((all C (m2_subset_1(C,k5_numbers,k1_gr_cy_1(A)) -> (all D (m2_subset_1(D,k5_numbers,k1_gr_cy_1(A)) -> k2_binop_1(k1_gr_cy_1(A),k1_gr_cy_1(A),k1_gr_cy_1(A),B,C,D) = k4_nat_1(k1_nat_1(C,D),A))))) <-> B = k4_gr_cy_1(A))))))) # label(d5_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11031 $T # label(t11_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11032 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v6_group_1(A) -> r1_nat_1(k7_group_1(A,B),k9_group_1(A))))))) # label(t28_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11033 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,k4_numbers) -> k3_group_4(A,k4_group_4(A,C,k1_finsop_1(u1_struct_0(A),k3_finseq_1(C),B))) = k6_group_1(A,k2_gr_cy_1(C),B))))))) # label(t24_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11034 $T # label(t9_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11035 $T # label(t16_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11036 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v3_struct_0(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (v6_group_1(B) -> k3_group_1(B,k6_group_1(B,A,C)) = k6_group_1(B,k10_binop_2(k9_group_1(B),k4_nat_1(A,k9_group_1(B))),C)))))))) # label(t30_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11037 $T # label(t19_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11038 (all A all B (v4_ordinal2(B) -> (r2_hidden(A,a_1_0_gr_cy_1(B)) <-> (exists C (m2_subset_1(C,k1_numbers,k5_numbers) & A = C & -r1_xreal_0(B,C)))))) # label(fraenkel_a_1_0_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11039 $T # label(t5_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11040 (all A (v1_int_1(A) -> m1_subset_1(k7_gr_cy_1(A),u1_struct_0(k3_gr_cy_1)))) # label(dt_k7_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11041 (all A (v4_ordinal2(A) -> m2_relset_1(k4_gr_cy_1(A),k2_zfmisc_1(k1_gr_cy_1(A),k1_gr_cy_1(A)),k1_gr_cy_1(A)) & v1_funct_2(k4_gr_cy_1(A),k2_zfmisc_1(k1_gr_cy_1(A),k1_gr_cy_1(A)),k1_gr_cy_1(A)) & v1_funct_1(k4_gr_cy_1(A)))) # label(dt_k4_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11042 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> ((exists B (m1_subset_1(B,u1_struct_0(A)) & (all C (m1_subset_1(C,u1_struct_0(A)) -> (exists D (C = k6_group_1(A,D,B) & v1_int_1(D))))))) <-> v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v1_gr_cy_1(A) & -v3_struct_0(A)))) # label(t41_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11043 $T # label(t7_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11044 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> -(v5_group_1(B,A) & v6_group_1(A)))))) # label(t26_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11045 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (v6_group_1(A) -> ((exists B (m1_subset_1(B,u1_struct_0(A)) & (all C (m1_subset_1(C,u1_struct_0(A)) -> (exists D (k6_group_1(A,D,B) = C & m2_subset_1(D,k1_numbers,k5_numbers))))))) <-> -v3_struct_0(A) & v1_gr_cy_1(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A))))) # label(t42_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11046 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v6_group_1(A) -> k7_group_1(A,B) = k9_group_1(k5_group_4(A,k1_struct_0(A,B)))))))) # label(t27_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11047 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> -((all B (m1_subset_1(B,u1_struct_0(k5_gr_cy_1(A))) -> (exists C ((all D (v1_int_1(D) -> k6_group_1(k5_gr_cy_1(A),D,B) != C)) & m1_subset_1(C,u1_struct_0(k5_gr_cy_1(A))))))) & -r1_xreal_0(A,np__0)))) # label(t46_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11048 (all A (v4_ordinal2(A) -> -v1_xboole_0(k1_gr_cy_1(A)) & m1_subset_1(k1_gr_cy_1(A),k1_zfmisc_1(k5_numbers)))) # label(dt_k1_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11049 $T # label(t4_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11050 (all A (v4_ordinal2(A) -> (-r1_xreal_0(A,np__0) -> r2_hidden(np__0,k1_gr_cy_1(A))))) # label(t12_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11051 (all A (m2_finseq_1(A,k4_numbers) -> k2_finsop_1(k4_numbers,A,k44_binop_2) = k2_gr_cy_1(A))) # label(d3_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11052 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> v1_gr_cy_1(k5_group_2(A)))) # label(t40_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11053 (all A (v4_ordinal2(A) -> v3_group_1(k5_gr_cy_1(A)) & v4_group_1(k5_gr_cy_1(A)) & l1_group_1(k5_gr_cy_1(A)) & v1_group_1(k5_gr_cy_1(A)) & -v3_struct_0(k5_gr_cy_1(A)))) # label(dt_k5_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11054 (all A (l1_group_1(A) -> (v1_gr_cy_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> -v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & v7_group_1(A) & v2_group_1(A)))) # label(cc1_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11055 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & v1_group_1(B) & -v3_struct_0(B) -> (A = k9_group_1(B) & v1_int_2(A) & v6_group_1(B) -> (all C (v1_group_1(C) & m1_group_2(C,B) -> r1_group_2(B,C,k5_group_2(B)) | C = B))))))) # label(t32_gr_cy_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11056 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (v8_cat_1(C,B,A) -> r4_nattra_1(u2_cat_1(A),u2_cat_1(A),u2_cat_1(A),u2_cat_1(A),k2_isocat_1(A,B,A,k3_isocat_1(B,A,C),C),k1_isocat_1(A)) & r4_nattra_1(u2_cat_1(B),u2_cat_1(B),u2_cat_1(B),u2_cat_1(B),k2_isocat_1(B,A,B,C,k3_isocat_1(B,A,C)),k1_isocat_1(B))))))))) # label(t16_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11057 $T # label(t5_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11058 $T # label(t51_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11059 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,B,A) -> r4_nattra_1(u2_cat_1(B),u2_cat_1(A),u2_cat_1(B),u2_cat_1(A),k14_cat_1(B,A,A,D,k15_cat_1(A)),D) & r4_nattra_1(u2_cat_1(A),u2_cat_1(B),u2_cat_1(A),u2_cat_1(B),k14_cat_1(A,A,B,k15_cat_1(A),C),C))))))))) # label(t4_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11060 (all A all B all C (v2_cat_1(A) & v2_cat_1(B) & m2_cat_1(C,A,B) & l1_cat_1(B) & l1_cat_1(A) -> m2_cat_1(k3_isocat_1(A,B,C),B,A))) # label(dt_k3_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11061 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,B,A) -> (r3_nattra_1(A,A,k2_isocat_1(A,B,A,C,D),k1_isocat_1(A)) -> v10_cat_1(C,A,B)))))))))) # label(t57_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11062 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (v8_cat_1(C,A,B) -> v8_cat_1(k3_isocat_1(A,B,C),B,A)))))))) # label(t13_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11063 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (v8_cat_1(C,A,B) -> k2_funct_1(C) = k3_isocat_1(A,B,C)))))))) # label(d2_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11064 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (all D (m1_subset_1(D,u2_cat_1(B)) -> (v5_cat_1(D,B) -> v5_cat_1(k8_funct_2(u2_cat_1(B),u2_cat_1(A),C,D),A)))))))))) # label(t3_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11065 (all A (l1_cat_1(A) & v2_cat_1(A) -> m1_isocat_1(k1_isocat_1(A),A,A))) # label(t54_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11066 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (v2_funct_1(C) -> v2_funct_1(k12_cat_1(A,B,C))))))))) # label(t12_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11067 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (r2_isocat_1(A,B) & r2_isocat_1(B,C) -> (all D (m1_isocat_1(D,A,B) -> (all E (m1_isocat_1(E,B,C) -> m1_isocat_1(k2_isocat_1(A,B,C,D,E),A,C)))))))))))) # label(t55_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11068 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B all C r1_isocat_1(k11_cat_2(k8_cat_1(B,C),A),A)))) # label(t21_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11069 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (l1_cat_1(D) & v2_cat_1(D) -> (all E (m2_cat_1(E,A,C) -> (all F (m2_cat_1(F,C,D) -> (all G (m2_cat_1(G,C,D) -> (all H (m2_cat_1(H,D,B) -> (all I (m2_nattra_1(I,C,D,F,G) -> (r2_nattra_1(C,D,F,G) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(B),u1_cat_1(A),u2_cat_1(B),k7_isocat_1(A,C,B,k2_isocat_1(C,D,B,F,H),k2_isocat_1(C,D,B,G,H),E,k6_isocat_1(C,D,B,F,G,I,H)),k6_isocat_1(A,D,B,k2_isocat_1(A,C,D,E,F),k2_isocat_1(A,C,D,E,G),k7_isocat_1(A,C,D,F,G,E,I),H))))))))))))))))))))) # label(t35_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11070 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,B,C) -> (v8_cat_1(E,B,C) & v8_cat_1(D,A,B) -> v8_cat_1(k2_isocat_1(A,B,C,D,E),A,C)))))))))))) # label(t17_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11071 $T # label(t52_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11072 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (r2_isocat_1(A,B) & r2_isocat_1(B,C) -> r2_isocat_1(A,C)))))))) # label(t53_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11073 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (v2_funct_1(C) & k2_relat_1(C) = u2_cat_1(B) <-> v8_cat_1(C,A,B)))))))) # label(d3_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11074 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,B,C) -> (all E (m2_cat_1(E,B,C) -> (r1_nattra_1(B,C,D,E) -> (all F (m2_cat_1(F,A,B) -> (all G (m1_nattra_1(G,B,C,D,E) -> k5_isocat_1(A,B,C,D,E,F,G) = k7_funct_2(u1_cat_1(A),u1_cat_1(B),u2_cat_1(C),k12_cat_1(A,B,F),G)))))))))))))))) # label(d6_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11075 (all A all B (l1_cat_1(B) & v2_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> r2_isocat_1(A,A))) # label(reflexivity_r2_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11076 (all A all B (l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(A) -> r1_isocat_1(A,A))) # label(reflexivity_r1_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11077 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (r2_nattra_1(A,B,D,E) -> (all F (m2_nattra_1(F,A,B,D,E) -> (all G (m2_cat_1(G,B,C) -> (all H (m1_subset_1(H,u1_cat_1(A)) -> k5_nattra_1(A,C,k2_isocat_1(A,B,C,D,G),k2_isocat_1(A,B,C,E,G),k6_isocat_1(A,B,C,D,E,F,G),H) = k3_nattra_1(B,C,G,k13_cat_1(A,B,D,H),k13_cat_1(A,B,E,H),k5_nattra_1(A,B,D,E,F,H))))))))))))))))))) # label(t28_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11078 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (v8_cat_1(C,A,B) -> r4_nattra_1(u2_cat_1(A),u2_cat_1(B),u2_cat_1(A),u2_cat_1(B),k3_isocat_1(B,A,k3_isocat_1(A,B,C)),C)))))))) # label(t15_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11079 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,B,C) -> (all G (m2_cat_1(G,B,C) -> (r2_nattra_1(B,C,F,G) & r2_nattra_1(A,B,D,E) -> r2_nattra_1(A,C,k2_isocat_1(A,B,C,D,F),k2_isocat_1(A,B,C,E,G))))))))))))))))) # label(t27_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11080 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (all D (m2_cat_1(D,B,A) -> (r2_nattra_1(B,A,C,D) -> (all E (m2_nattra_1(E,B,A,C,D) -> (all F (m2_nattra_1(F,B,A,C,D) -> ((all G (m1_subset_1(G,u1_cat_1(B)) -> k5_nattra_1(B,A,C,D,F,G) = k5_nattra_1(B,A,C,D,E,G))) -> r4_nattra_1(u1_cat_1(B),u2_cat_1(A),u1_cat_1(B),u2_cat_1(A),E,F))))))))))))))) # label(t31_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11081 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,B,C) -> (all E (m2_cat_1(E,B,C) -> (all F (m2_cat_1(F,C,A) -> (all G (m2_nattra_1(G,B,C,D,E) -> (r2_nattra_1(B,C,D,E) -> r4_nattra_1(u1_cat_1(B),u2_cat_1(A),u1_cat_1(B),u2_cat_1(A),k6_isocat_1(B,C,A,D,E,G,F),k8_isocat_1(B,C,A,D,E,F,F,G,k7_nattra_1(C,A,F)))))))))))))))))) # label(t46_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11082 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_nattra_1(E,A,B,C,D) -> (r2_nattra_1(A,B,C,D) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(B),u1_cat_1(A),u2_cat_1(B),k6_isocat_1(A,B,B,C,D,E,k1_isocat_1(B)),E)))))))))))) # label(t40_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11083 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (v2_cat_1(D) & l1_cat_1(D) -> (all E (m2_cat_1(E,C,D) -> (all F (m2_cat_1(F,C,D) -> (all G (m2_cat_1(G,D,A) -> (all H (m2_cat_1(H,A,B) -> (all I (m2_nattra_1(I,C,D,E,F) -> (r2_nattra_1(C,D,E,F) -> r4_nattra_1(u1_cat_1(C),u2_cat_1(B),u1_cat_1(C),u2_cat_1(B),k6_isocat_1(C,D,B,E,F,I,k2_isocat_1(D,A,B,G,H)),k6_isocat_1(C,A,B,k2_isocat_1(C,D,A,E,G),k2_isocat_1(C,D,A,F,G),k6_isocat_1(C,D,A,E,F,I,G),H))))))))))))))))))))) # label(t36_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11084 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (r2_isocat_1(A,B) -> (all C (m1_isocat_1(C,A,B) -> (exists D (r3_nattra_1(A,A,k2_isocat_1(A,B,A,C,D),k1_isocat_1(A)) & r3_nattra_1(B,B,k2_isocat_1(B,A,B,D,C),k1_isocat_1(B)) & m1_isocat_1(D,B,A)))))))))) # label(t56_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11085 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (v8_cat_1(C,A,B) -> k2_funct_1(k12_cat_1(A,B,C)) = k12_cat_1(B,A,k3_isocat_1(A,B,C))))))))) # label(t14_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11086 (all A all B all C all D all E all F all G all H all I (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,A,B) & m2_cat_1(E,A,B) & m2_nattra_1(I,B,C,F,G) & m2_nattra_1(H,A,B,D,E) & m2_cat_1(G,B,C) & m2_cat_1(F,B,C) & l1_cat_1(B) & v2_cat_1(B) -> m2_nattra_1(k8_isocat_1(A,B,C,D,E,F,G,H,I),A,C,k2_isocat_1(A,B,C,D,F),k2_isocat_1(A,B,C,E,G)))) # label(dt_k8_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11087 (all A all B all C all D all E all F all G (l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & l1_cat_1(C) & m1_nattra_1(G,B,C,D,E) & m2_cat_1(F,A,B) & m2_cat_1(E,B,C) & m2_cat_1(D,B,C) & v2_cat_1(C) & v2_cat_1(A) -> m1_nattra_1(k5_isocat_1(A,B,C,D,E,F,G),A,C,k2_isocat_1(A,B,C,F,D),k2_isocat_1(A,B,C,F,E)))) # label(dt_k5_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11088 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,B,C) -> (all G (m2_cat_1(G,B,C) -> (r1_nattra_1(A,B,D,E) & r1_nattra_1(B,C,F,G) -> r1_nattra_1(A,C,k14_cat_1(A,B,C,D,F),k14_cat_1(A,B,C,E,G))))))))))))))))) # label(t8_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11089 $T # label(t18_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.91	11090 (all A (v2_cat_1(A) & l1_cat_1(A) -> m2_cat_1(k1_isocat_1(A),A,A))) # label(dt_k1_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11091 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,B,C) -> (all E (m2_cat_1(E,B,C) -> (r2_nattra_1(B,C,D,E) -> (all F (m2_cat_1(F,A,B) -> (all G (m2_nattra_1(G,B,C,D,E) -> k7_isocat_1(A,B,C,D,E,F,G) = k5_isocat_1(A,B,C,D,E,F,G)))))))))))))))) # label(d8_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11092 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (r1_isocat_1(B,C) & r1_isocat_1(A,B) -> r1_isocat_1(A,C)))))))) # label(t20_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11093 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (r2_isocat_1(A,B) -> (all C (m2_cat_1(C,A,B) -> ((exists D (m2_cat_1(D,B,A) & r3_nattra_1(A,A,k2_isocat_1(A,B,A,C,D),k1_isocat_1(A)) & r3_nattra_1(B,B,k2_isocat_1(B,A,B,D,C),k1_isocat_1(B)))) <-> m1_isocat_1(C,A,B))))))))) # label(d11_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11094 $T # label(t19_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11095 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,B,C) -> (all F (m2_cat_1(F,B,C) -> (all G (m2_cat_1(G,B,C) -> (all H (m2_nattra_1(H,B,C,E,F) -> (all I (m2_nattra_1(I,B,C,F,G) -> (r2_nattra_1(B,C,F,G) & r2_nattra_1(B,C,E,F) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(C),u1_cat_1(A),u2_cat_1(C),k7_isocat_1(A,B,C,E,G,D,k8_nattra_1(B,C,E,F,G,H,I)),k8_nattra_1(A,C,k2_isocat_1(A,B,C,D,E),k2_isocat_1(A,B,C,D,F),k2_isocat_1(A,B,C,D,G),k7_isocat_1(A,B,C,E,F,D,H),k7_isocat_1(A,B,C,F,G,D,I)))))))))))))))))))))) # label(t33_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11096 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (v8_cat_1(C,B,A) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (exists E (D = k13_cat_1(B,A,C,E) & m1_subset_1(E,u1_cat_1(B))))))))))))) # label(t11_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11097 (all A (v2_cat_1(A) & l1_cat_1(A) -> k1_isocat_1(A) = k15_cat_1(A))) # label(redefinition_k1_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11098 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (r1_isocat_1(A,B) -> r2_isocat_1(A,B)))))) # label(t50_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11099 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (v2_funct_1(A) & v2_funct_1(B) -> v2_funct_1(k15_funct_3(A,B))))))) # label(t1_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11100 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (v2_cat_1(D) & l1_cat_1(D) -> (r1_isocat_1(A,B) & r1_isocat_1(C,D) -> r1_isocat_1(k11_cat_2(A,C),k11_cat_2(B,D))))))))))) # label(t24_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11101 $T # label(t6_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11102 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> r1_isocat_1(k11_cat_2(k11_cat_2(A,B),C),k11_cat_2(A,k11_cat_2(B,C))))))))) # label(t23_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11103 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> r1_isocat_1(k11_cat_2(A,B),k11_cat_2(B,A)))))) # label(t22_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11104 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,B,C) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(C),u1_cat_1(A),u2_cat_1(C),k6_isocat_1(A,B,C,D,D,k7_nattra_1(A,B,D),E),k7_nattra_1(A,C,k2_isocat_1(A,B,C,D,E))))))))))))) # label(t38_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11105 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,B,A) -> (all E (m2_cat_1(E,A,A) -> (r3_nattra_1(A,A,E,k1_isocat_1(A)) -> r3_nattra_1(B,A,k2_isocat_1(B,A,A,D,E),D) & r3_nattra_1(A,B,k2_isocat_1(A,A,B,E,C),C)))))))))))) # label(t49_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11106 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,B,C) -> (all E (m2_cat_1(E,B,C) -> (all F (m2_cat_1(F,B,C) -> (all G (m2_cat_1(G,C,A) -> (all H (m2_nattra_1(H,B,C,D,E) -> (all I (m2_nattra_1(I,B,C,E,F) -> (r2_nattra_1(B,C,D,E) & r2_nattra_1(B,C,E,F) -> r4_nattra_1(u1_cat_1(B),u2_cat_1(A),u1_cat_1(B),u2_cat_1(A),k6_isocat_1(B,C,A,D,F,k8_nattra_1(B,C,D,E,F,H,I),G),k8_nattra_1(B,A,k2_isocat_1(B,C,A,D,G),k2_isocat_1(B,C,A,E,G),k2_isocat_1(B,C,A,F,G),k6_isocat_1(B,C,A,D,E,H,G),k6_isocat_1(B,C,A,E,F,I,G)))))))))))))))))))))) # label(t32_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11107 (all A all B all C all D all E all F all G (l1_cat_1(B) & v2_cat_1(C) & m2_cat_1(D,A,B) & m1_nattra_1(F,A,B,D,E) & m2_cat_1(G,B,C) & m2_cat_1(E,A,B) & l1_cat_1(C) & v2_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> m1_nattra_1(k4_isocat_1(A,B,C,D,E,F,G),A,C,k2_isocat_1(A,B,C,D,G),k2_isocat_1(A,B,C,E,G)))) # label(dt_k4_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11108 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (r1_nattra_1(A,B,D,E) -> (all F (m2_cat_1(F,C,A) -> (all G (m1_nattra_1(G,A,B,D,E) -> (all H (m1_subset_1(H,u1_cat_1(C)) -> k5_nattra_1(C,B,k2_isocat_1(C,A,B,F,D),k2_isocat_1(C,A,B,F,E),k5_isocat_1(C,A,B,D,E,F,G),H) = k5_nattra_1(A,B,D,E,G,k13_cat_1(C,A,F,H))))))))))))))))))) # label(t25_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11109 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (all D (m2_cat_1(D,B,A) -> (all E (m2_nattra_1(E,B,A,C,D) -> (r2_nattra_1(B,A,C,D) -> r4_nattra_1(u1_cat_1(B),u2_cat_1(A),u1_cat_1(B),u2_cat_1(A),k7_isocat_1(B,B,A,C,D,k1_isocat_1(B),E),E)))))))))))) # label(t39_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11110 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r1_nattra_1(A,B,C,D) -> (all E (m1_nattra_1(E,A,B,C,D) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> r2_hidden(k5_nattra_1(A,B,C,D,E,F),k6_cat_1(B,k13_cat_1(A,B,C,F),k13_cat_1(A,B,D,F)))))))))))))))) # label(t7_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11111 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (v2_cat_1(D) & l1_cat_1(D) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,B) -> (all G (m2_cat_1(G,B,C) -> (all H (m2_cat_1(H,B,C) -> (all I (m2_cat_1(I,C,D) -> (all J (m2_cat_1(J,C,D) -> (all K (m2_nattra_1(K,A,B,E,F) -> (all L (m2_nattra_1(L,B,C,G,H) -> (all M (m2_nattra_1(M,C,D,I,J) -> (r2_nattra_1(A,B,E,F) & r2_nattra_1(C,D,I,J) & r2_nattra_1(B,C,G,H) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(D),u1_cat_1(A),u2_cat_1(D),k8_isocat_1(A,C,D,k2_isocat_1(A,B,C,E,G),k2_isocat_1(A,B,C,F,H),I,J,k8_isocat_1(A,B,C,E,F,G,H,K,L),M),k8_isocat_1(A,B,D,E,F,k2_isocat_1(B,C,D,G,I),k2_isocat_1(B,C,D,H,J),K,k8_isocat_1(B,C,D,G,H,I,J,L,M)))))))))))))))))))))))))))))) # label(t44_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11112 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (v2_cat_1(D) & l1_cat_1(D) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,C,D) -> (all G (m2_cat_1(G,B,C) -> (all H (m2_cat_1(H,B,C) -> (r3_nattra_1(B,C,G,H) -> r3_nattra_1(A,C,k2_isocat_1(A,B,C,E,G),k2_isocat_1(A,B,C,E,H)) & r3_nattra_1(B,D,k2_isocat_1(B,C,D,G,F),k2_isocat_1(B,C,D,H,F))))))))))))))))))) # label(t48_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11113 (all A all B all C all D all E (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(E,B,C) & m2_cat_1(D,A,B) -> k2_isocat_1(A,B,C,D,E) = k5_relat_1(D,E))) # label(redefinition_k2_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11114 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (r1_nattra_1(A,B,D,E) -> (all F (m1_nattra_1(F,A,B,D,E) -> (all G (m2_cat_1(G,B,C) -> (all H (m1_subset_1(H,u1_cat_1(A)) -> k5_nattra_1(A,C,k2_isocat_1(A,B,C,D,G),k2_isocat_1(A,B,C,E,G),k4_isocat_1(A,B,C,D,E,F,G),H) = k3_nattra_1(B,C,G,k13_cat_1(A,B,D,H),k13_cat_1(A,B,E,H),k5_nattra_1(A,B,D,E,F,H))))))))))))))))))) # label(t26_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11115 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) -> (m2_cat_1(C,A,B) <-> (all D (m1_subset_1(D,u2_cat_1(A)) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> (k2_cat_1(A,E) = k3_cat_1(A,D) -> k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k4_cat_1(A,D,E)) = k4_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D),k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,E))))))) & (all D (m1_subset_1(D,u2_cat_1(A)) -> k10_cat_1(B,k2_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D))) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,k2_cat_1(A,D))) & k10_cat_1(B,k3_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D))) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,k3_cat_1(A,D))))) & (all D (m1_subset_1(D,u1_cat_1(A)) -> (exists E (k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,D)) = k10_cat_1(B,E) & m1_subset_1(E,u1_cat_1(B))))))))))))) # label(d1_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11116 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (v8_cat_1(C,B,A) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (exists E (k8_funct_2(u2_cat_1(B),u2_cat_1(A),C,E) = D & m1_subset_1(E,u2_cat_1(B))))))))))))) # label(t10_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11117 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> k2_relat_1(k17_cat_2(B,A)) = u2_cat_1(A) & u2_cat_1(A) = k2_relat_1(k16_cat_2(A,B)))))) # label(t2_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11118 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r1_nattra_1(A,B,C,D) -> (all E (m1_nattra_1(E,A,B,C,D) -> (v1_nattra_1(E,A,B,C,D) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> r1_cat_1(B,k13_cat_1(A,B,C,F),k13_cat_1(A,B,D,F)))))))))))))))) # label(t9_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11119 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (r1_isocat_1(A,B) <-> (exists C (m2_cat_1(C,A,B) & v8_cat_1(C,A,B)))))))) # label(d4_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11120 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (l1_cat_1(D) & v2_cat_1(D) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,B,C) -> (all G (m2_cat_1(G,C,D) -> (all H (m2_cat_1(H,C,D) -> (all I (m2_nattra_1(I,C,D,G,H) -> (r2_nattra_1(C,D,G,H) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(D),u1_cat_1(A),u2_cat_1(D),k7_isocat_1(A,B,D,k2_isocat_1(B,C,D,F,G),k2_isocat_1(B,C,D,F,H),E,k7_isocat_1(B,C,D,G,H,F,I)),k7_isocat_1(A,C,D,G,H,k2_isocat_1(A,B,C,E,F),I))))))))))))))))))))) # label(t34_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11121 (all A all B all C all D all E all F all G (v2_cat_1(A) & v2_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,B,C) & m2_nattra_1(G,B,C,D,E) & m2_cat_1(F,A,B) & m2_cat_1(E,B,C) & l1_cat_1(B) & l1_cat_1(A) -> m2_nattra_1(k7_isocat_1(A,B,C,D,E,F,G),A,C,k2_isocat_1(A,B,C,F,D),k2_isocat_1(A,B,C,F,E)))) # label(dt_k7_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11122 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (all D (m2_cat_1(D,B,A) -> (all E (m2_nattra_1(E,B,A,C,D) -> (r2_nattra_1(B,A,C,D) -> r4_nattra_1(u1_cat_1(B),u2_cat_1(A),u1_cat_1(B),u2_cat_1(A),k8_isocat_1(B,B,A,k1_isocat_1(B),k1_isocat_1(B),C,D,k7_nattra_1(B,B,k1_isocat_1(B)),E),E)))))))))))) # label(t43_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11123 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (r2_nattra_1(A,B,D,E) -> (all F (m2_cat_1(F,C,A) -> (all G (m2_nattra_1(G,A,B,D,E) -> (all H (m1_subset_1(H,u1_cat_1(C)) -> k5_nattra_1(C,B,k2_isocat_1(C,A,B,F,D),k2_isocat_1(C,A,B,F,E),k7_isocat_1(C,A,B,D,E,F,G),H) = k5_nattra_1(A,B,D,E,G,k13_cat_1(C,A,F,H))))))))))))))))))) # label(t29_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11124 (all A all B (l1_cat_1(A) & l1_cat_1(B) & v2_cat_1(B) & v2_cat_1(A) -> (r1_isocat_1(A,B) -> r1_isocat_1(B,A)))) # label(symmetry_r1_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11125 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_nattra_1(E,A,B,C,D) -> (r2_nattra_1(A,B,C,D) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(B),u1_cat_1(A),u2_cat_1(B),k8_isocat_1(A,B,B,C,D,k1_isocat_1(B),k1_isocat_1(B),E,k7_nattra_1(B,B,k1_isocat_1(B))),E)))))))))))) # label(t42_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11126 (all A all B all C all D all E all F all G (v2_cat_1(A) & l1_cat_1(A) & l1_cat_1(C) & m2_cat_1(G,B,C) & m2_nattra_1(F,A,B,D,E) & m2_cat_1(E,A,B) & m2_cat_1(D,A,B) & v2_cat_1(C) & l1_cat_1(B) & v2_cat_1(B) -> m2_nattra_1(k6_isocat_1(A,B,C,D,E,F,G),A,C,k2_isocat_1(A,B,C,D,G),k2_isocat_1(A,B,C,E,G)))) # label(dt_k6_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11127 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,B,C) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(C),u1_cat_1(A),u2_cat_1(C),k7_isocat_1(A,B,C,E,E,D,k7_nattra_1(B,C,E)),k7_nattra_1(A,C,k2_isocat_1(A,B,C,D,E))))))))))))) # label(t37_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11128 (all A all B all C all D all E (l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & l1_cat_1(C) & m2_cat_1(D,A,B) & m2_cat_1(E,B,C) & v2_cat_1(C) & v2_cat_1(A) -> m2_cat_1(k2_isocat_1(A,B,C,D,E),A,C))) # label(dt_k2_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11129 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (r1_nattra_1(A,B,D,E) -> (all F (m1_nattra_1(F,A,B,D,E) -> (all G (m2_cat_1(G,B,C) -> k7_funct_2(u1_cat_1(A),u2_cat_1(B),u2_cat_1(C),F,G) = k4_isocat_1(A,B,C,D,E,F,G)))))))))))))))) # label(d5_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11130 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,B,C) -> (all F (m2_cat_1(F,B,C) -> (all G (m2_nattra_1(G,B,C,E,F) -> (r2_nattra_1(B,C,E,F) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(C),u1_cat_1(A),u2_cat_1(C),k7_isocat_1(A,B,C,E,F,D,G),k8_isocat_1(A,B,C,D,D,E,F,k7_nattra_1(A,B,D),G))))))))))))))))) # label(t45_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11131 (all A all B (l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(A) -> (exists C m1_isocat_1(C,A,B)))) # label(existence_m1_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11132 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (all D (m2_cat_1(D,B,A) -> (r2_nattra_1(B,A,C,D) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> k6_cat_1(A,k13_cat_1(B,A,C,E),k13_cat_1(B,A,D,E)) != k1_xboole_0))))))))))) # label(t30_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11133 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,B,C) -> (all G (m2_cat_1(G,B,C) -> (all H (m2_nattra_1(H,A,B,D,E) -> (all I (m2_nattra_1(I,B,C,F,G) -> k8_isocat_1(A,B,C,D,E,F,G,H,I) = k8_nattra_1(A,C,k2_isocat_1(A,B,C,D,F),k2_isocat_1(A,B,C,E,F),k2_isocat_1(A,B,C,E,G),k6_isocat_1(A,B,C,D,E,H,F),k7_isocat_1(A,B,C,F,G,E,I)))))))))))))))))))) # label(d9_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11134 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (r2_nattra_1(A,B,D,E) -> (all F (m2_nattra_1(F,A,B,D,E) -> (all G (m2_cat_1(G,B,C) -> k6_isocat_1(A,B,C,D,E,F,G) = k4_isocat_1(A,B,C,D,E,F,G)))))))))))))))) # label(d7_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11135 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,B,C) -> (all G (m2_cat_1(G,B,C) -> (all H (m2_nattra_1(H,A,B,D,E) -> (all I (m2_nattra_1(I,B,C,F,G) -> (r2_nattra_1(B,C,F,G) & r2_nattra_1(A,B,D,E) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(C),u1_cat_1(A),u2_cat_1(C),k8_isocat_1(A,B,C,D,E,F,G,H,I),k8_nattra_1(A,C,k2_isocat_1(A,B,C,D,F),k2_isocat_1(A,B,C,D,G),k2_isocat_1(A,B,C,E,G),k7_isocat_1(A,B,C,F,G,D,I),k6_isocat_1(A,B,C,D,E,H,G)))))))))))))))))))))) # label(t41_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11136 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (r2_isocat_1(A,B) -> (all C (m1_isocat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> (exists E (m1_subset_1(E,u1_cat_1(A)) & r1_cat_1(B,D,k13_cat_1(A,B,C,E)))))) & v10_cat_1(C,A,B) & v9_cat_1(C,A,B)))))))) # label(t58_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11137 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,B) -> (all G (m2_cat_1(G,B,C) -> (all H (m2_cat_1(H,B,C) -> (all I (m2_cat_1(I,B,C) -> (all J (m2_nattra_1(J,A,B,D,E) -> (all K (m2_nattra_1(K,A,B,E,F) -> (all L (m2_nattra_1(L,B,C,G,H) -> (all M (m2_nattra_1(M,B,C,H,I) -> (r2_nattra_1(B,C,G,H) & r2_nattra_1(B,C,H,I) & r2_nattra_1(A,B,E,F) & r2_nattra_1(A,B,D,E) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(C),u1_cat_1(A),u2_cat_1(C),k8_isocat_1(A,B,C,D,F,G,I,k8_nattra_1(A,B,D,E,F,J,K),k8_nattra_1(B,C,G,H,I,L,M)),k8_nattra_1(A,C,k2_isocat_1(A,B,C,D,G),k2_isocat_1(A,B,C,E,H),k2_isocat_1(A,B,C,F,I),k8_isocat_1(A,B,C,D,E,G,H,J,L),k8_isocat_1(A,B,C,E,F,H,I,K,M)))))))))))))))))))))))))))))) # label(t47_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11138 (all A all B (v2_cat_1(A) & l1_cat_1(A) & l1_cat_1(B) & v2_cat_1(B) -> (r2_isocat_1(A,B) -> r2_isocat_1(B,A)))) # label(symmetry_r2_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11139 (all A all B (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_isocat_1(C,A,B) -> m2_cat_1(C,A,B))))) # label(dt_m1_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11140 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> ((exists C ((exists D (r3_nattra_1(A,A,k2_isocat_1(A,B,A,C,D),k1_isocat_1(A)) & r3_nattra_1(B,B,k2_isocat_1(B,A,B,D,C),k1_isocat_1(B)) & m2_cat_1(D,B,A))) & m2_cat_1(C,A,B))) <-> r2_isocat_1(A,B)))))) # label(d10_isocat_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11141 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all 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))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r1_connsp_1(A,B,C) -> r1_connsp_1(A,k5_subset_1(u1_struct_0(A),B,D),k5_subset_1(u1_struct_0(A),C,D))))))))))) # label(t43_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11142 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> ((exists D (-v3_struct_0(D) & m1_pre_topc(D,A) & (exists E (-v3_struct_0(E) & m1_pre_topc(C,E) & (r1_tsep_1(A,k2_tsep_1(A,D,E),k1_tsep_1(A,B,C)) | r1_tsep_1(A,D,E)) & m1_pre_topc(B,D) & m1_pre_topc(E,A) & v1_borsuk_1(E,A))) & v1_borsuk_1(D,A))) <-> r3_tsep_1(A,B,C)))))))) # label(t81_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11143 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & v1_borsuk_1(B,A) -> (all C (m1_pre_topc(C,B) & v1_borsuk_1(C,B) -> v1_borsuk_1(C,A) & m1_pre_topc(C,A))))))) # label(t13_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11144 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all 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))) -> (v4_pre_topc(C,A) & v4_pre_topc(B,A) -> r2_tsep_1(A,B,C)))))))) # label(t53_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11145 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all 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))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(D,B) & r1_tarski(E,C) & r2_tsep_1(A,C,B) -> r2_tsep_1(A,k4_subset_1(u1_struct_0(A),C,D),k4_subset_1(u1_struct_0(A),B,E))))))))))))) # label(t56_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11146 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) -> (r4_tsep_1(A,B,C) <-> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (E = u1_struct_0(C) & u1_struct_0(B) = D -> r2_tsep_1(A,D,E))))))))))))) # label(d9_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11147 (all A all B all C (l1_pre_topc(A) & m1_pre_topc(B,A) & -v3_struct_0(C) & m1_pre_topc(C,A) & -v3_struct_0(B) & -v3_struct_0(A) -> m1_pre_topc(k2_tsep_1(A,B,C),A) & v1_pre_topc(k2_tsep_1(A,B,C)) & -v3_struct_0(k2_tsep_1(A,B,C)))) # label(dt_k2_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11148 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) -> (r1_tarski(C,u1_struct_0(B)) & D = E & r1_tarski(D,C) & v4_pre_topc(C,A) -> (v4_pre_topc(D,A) <-> v4_pre_topc(E,B))))))))))))) # label(t8_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11149 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v1_borsuk_1(B,A) & m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (v1_borsuk_1(C,A) & m1_pre_topc(C,A) & -v3_struct_0(C) -> (-r1_tsep_1(A,B,C) -> m1_pre_topc(k2_tsep_1(A,B,C),A) & v1_borsuk_1(k2_tsep_1(A,B,C),A)))))))) # label(t32_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11150 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (all D (m1_pre_topc(D,A) -> (all E (m1_pre_topc(E,A) -> (m1_pre_topc(D,B) & r3_tsep_1(A,B,C) & m1_pre_topc(E,C) -> r3_tsep_1(A,D,E)))))))))))) # label(t77_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11151 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (exists B (v2_pre_topc(B) & v1_tsep_1(B,A) & v1_pre_topc(B) & m1_pre_topc(B,A))))) # label(rc1_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11152 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (exists B (-v3_struct_0(B) & v2_pre_topc(B) & v1_tsep_1(B,A) & v1_pre_topc(B) & m1_pre_topc(B,A))))) # label(rc2_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11153 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v1_tsep_1(B,A) & m1_pre_topc(B,A) -> (all C (v1_tsep_1(C,B) & m1_pre_topc(C,B) -> m1_pre_topc(C,A) & v1_tsep_1(C,A))))))) # label(t18_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11154 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all 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))) -> (r1_connsp_1(A,B,C) <-> (exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & (exists E (r1_tarski(B,D) & r1_tarski(C,E) & v4_pre_topc(E,A) & v4_pre_topc(D,A) & r1_xboole_0(k5_subset_1(u1_struct_0(A),D,E),k4_subset_1(u1_struct_0(A),B,C)) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A)))))))))))))) # label(t47_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11155 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (-r1_tsep_1(A,B,C) -> m1_pre_topc(k2_tsep_1(A,B,C),C) & m1_pre_topc(k2_tsep_1(A,B,C),B)))))))) # label(t30_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11156 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (-r1_tsep_1(A,B,C) -> (r4_tsep_1(A,B,C) <-> -((all D (-v3_struct_0(D) & m1_pre_topc(D,A) & v1_borsuk_1(D,A) -> (all E (v1_borsuk_1(E,A) & m1_pre_topc(E,A) & -v3_struct_0(E) -> -(m1_pre_topc(k2_tsep_1(A,D,k1_tsep_1(A,B,C)),B) & -((all F (m1_pre_topc(F,A) & v1_tsep_1(F,A) & -v3_struct_0(F) -> -(m1_pre_topc(k2_tsep_1(A,F,k1_tsep_1(A,B,C)),k2_tsep_1(A,B,C)) & g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = k1_tsep_1(A,k1_tsep_1(A,D,E),F)))) & -m1_pre_topc(k1_tsep_1(A,B,C),k1_tsep_1(A,D,E))) & m1_pre_topc(k2_tsep_1(A,E,k1_tsep_1(A,B,C)),C)))))) & -m1_pre_topc(C,B) & -m1_pre_topc(B,C)))))))))) # label(t93_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11157 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (A = k1_tsep_1(A,B,C) -> r1_tsep_1(A,B,C) | (r4_tsep_1(A,B,C) <-> -(-m1_pre_topc(C,B) & (all D (-v3_struct_0(D) & v1_tsep_1(D,A) & m1_pre_topc(D,A) -> (all E (-v3_struct_0(E) & m1_pre_topc(E,A) & v1_tsep_1(E,A) -> -(-(k1_tsep_1(A,D,E) != A & (all F (-v3_struct_0(F) & v1_borsuk_1(F,A) & m1_pre_topc(F,A) -> -(m1_pre_topc(F,k2_tsep_1(A,B,C)) & k1_tsep_1(A,k1_tsep_1(A,D,E),F) = A)))) & m1_pre_topc(E,C) & m1_pre_topc(D,B)))))) & -m1_pre_topc(B,C)))))))))) # label(t97_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11158 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (all D (-v3_struct_0(D) & m1_pre_topc(D,A) -> (-r1_tsep_1(A,C,D) -> (r4_tsep_1(A,B,C) & r4_tsep_1(A,B,D) -> r4_tsep_1(A,B,k2_tsep_1(A,C,D))) & (r4_tsep_1(A,C,B) & r4_tsep_1(A,D,B) -> r4_tsep_1(A,k2_tsep_1(A,C,D),B))))))))))) # label(t91_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11159 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> ((exists D (v1_tsep_1(D,A) & (exists E (v1_tsep_1(E,A) & m1_pre_topc(B,D) & r1_tsep_1(A,D,C) & r1_tsep_1(A,E,B) & m1_pre_topc(C,E) & m1_pre_topc(E,A) & -v3_struct_0(E))) & m1_pre_topc(D,A) & -v3_struct_0(D))) <-> r3_tsep_1(A,B,C)))))))) # label(t82_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11160 (all A all B all C (m1_pre_topc(B,A) & m1_pre_topc(C,A) & l1_pre_topc(A) -> (r4_tsep_1(A,B,C) -> r4_tsep_1(A,C,B)))) # label(symmetry_r4_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11161 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all 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))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r2_tsep_1(A,B,D) & r2_tsep_1(A,C,D) -> r2_tsep_1(A,k5_subset_1(u1_struct_0(A),B,C),D)))))))))) # label(t57_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11162 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all 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))) -> -(r2_tsep_1(A,B,C) & -r1_tarski(C,B) & (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))) -> -(v4_pre_topc(E,A) & r1_tarski(k5_subset_1(u1_struct_0(A),E,k4_subset_1(u1_struct_0(A),B,C)),C) & -((all F (-v1_xboole_0(F) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(F,A) & r1_tarski(k5_subset_1(u1_struct_0(A),F,k4_subset_1(u1_struct_0(A),B,C)),k5_subset_1(u1_struct_0(A),B,C)) & u1_struct_0(A) = k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),D,E),F)))) & -r1_tarski(k4_subset_1(u1_struct_0(A),B,C),k4_subset_1(u1_struct_0(A),D,E))) & r1_tarski(k5_subset_1(u1_struct_0(A),D,k4_subset_1(u1_struct_0(A),B,C)),B) & v4_pre_topc(D,A)))))) & -r1_tarski(B,C)))))))) # label(t60_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11163 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (C = u1_struct_0(B) -> (v4_pre_topc(C,A) <-> v1_borsuk_1(B,A) & m1_pre_topc(B,A))))))))) # label(t11_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11164 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & v1_tsep_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (D = C -> (v3_pre_topc(C,A) <-> v3_pre_topc(D,B))))))))))) # label(t17_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11165 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all 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))) -> (r1_connsp_1(A,B,C) & v3_pre_topc(k4_subset_1(u1_struct_0(A),B,C),A) -> v3_pre_topc(B,A) & v3_pre_topc(C,A)))))))) # label(t42_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11166 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v1_borsuk_1(B,A) & m1_pre_topc(B,A) -> (all C (v1_borsuk_1(C,A) & m1_pre_topc(C,A) -> r4_tsep_1(A,B,C))))))) # label(t87_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11167 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(B) = C -> v3_pre_topc(C,A)))) <-> v1_tsep_1(B,A)))))) # label(d1_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11168 (all A all B all C (-v3_struct_0(B) & m1_pre_topc(B,A) & m1_pre_topc(C,A) & -v3_struct_0(C) & l1_pre_topc(A) & -v3_struct_0(A) -> k1_tsep_1(A,C,B) = k1_tsep_1(A,B,C))) # label(commutativity_k1_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11169 $T # label(t84_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11170 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all 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))) -> (u1_struct_0(A) = k4_subset_1(u1_struct_0(A),B,C) -> ((exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & (exists E ((exists F (k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),D,E),F) = k4_subset_1(u1_struct_0(A),B,C) & r1_tarski(E,C) & v3_pre_topc(E,A) & v4_pre_topc(F,A) & v3_pre_topc(D,A) & r1_tarski(F,k5_subset_1(u1_struct_0(A),B,C)) & r1_tarski(D,B) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))))))) <-> r2_tsep_1(A,B,C))))))))) # label(t65_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11171 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all 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))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r2_tsep_1(A,B,C) -> r2_tsep_1(A,k4_subset_1(u1_struct_0(A),B,D),k4_subset_1(u1_struct_0(A),C,D))))))))))) # label(t55_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11172 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all 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))) -> (v3_pre_topc(B,A) & r1_xboole_0(B,C) -> r1_xboole_0(B,k6_pre_topc(A,C))))))))) # label(t40_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11173 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) & v1_borsuk_1(B,A) -> (all C (v1_borsuk_1(C,A) & m1_pre_topc(C,A) & -v3_struct_0(C) -> (r3_tsep_1(A,B,C) <-> r1_tsep_1(A,B,C)))))))) # label(t70_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11174 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all 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))) -> (r1_connsp_1(A,B,C) & v4_pre_topc(k4_subset_1(u1_struct_0(A),B,C),A) -> v4_pre_topc(C,A) & v4_pre_topc(B,A)))))))) # label(t39_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11175 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (k1_tsep_1(A,B,C) = A & r1_tsep_1(A,B,C) -> (r4_tsep_1(A,B,C) <-> v1_tsep_1(B,A) & m1_pre_topc(B,A) & m1_pre_topc(C,A) & v1_tsep_1(C,A))))))))) # label(t98_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11176 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) & v1_borsuk_1(B,A) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (r1_tarski(u1_struct_0(B),u1_struct_0(C)) -> v1_borsuk_1(B,C) & m1_pre_topc(B,C) & -v3_struct_0(B)))))))) # label(t14_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11177 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (A = k1_tsep_1(A,B,C) & r1_tsep_1(A,B,C) -> (m1_pre_topc(B,A) & v1_borsuk_1(C,A) & m1_pre_topc(C,A) & v1_borsuk_1(B,A) <-> r4_tsep_1(A,B,C))))))))) # label(t95_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11178 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all 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))) -> (r2_tsep_1(A,B,C) & r1_xboole_0(B,C) <-> r1_connsp_1(A,B,C)))))))) # label(t51_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11179 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (all D (m1_pre_topc(D,A) & -v3_struct_0(D) -> (all E (m1_pre_topc(E,A) & -v3_struct_0(E) -> (m1_pre_topc(D,B) & m1_pre_topc(E,C) & r4_tsep_1(A,C,B) -> r4_tsep_1(A,k1_tsep_1(A,C,D),k1_tsep_1(A,B,E)) & r4_tsep_1(A,k1_tsep_1(A,D,C),k1_tsep_1(A,E,B))))))))))))) # label(t90_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11180 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (v1_tsep_1(k1_tsep_1(A,B,C),A) & m1_pre_topc(k1_tsep_1(A,B,C),A) & r3_tsep_1(A,B,C) -> v1_tsep_1(B,A) & m1_pre_topc(B,A)))))))) # label(t75_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11181 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all 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))) -> (k4_subset_1(u1_struct_0(A),B,C) = u1_struct_0(A) -> ((exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & (exists E ((exists F (k4_subset_1(u1_struct_0(A),B,C) = k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),D,E),F) & r1_tarski(F,k5_subset_1(u1_struct_0(A),B,C)) & v4_pre_topc(D,A) & v4_pre_topc(E,A) & v3_pre_topc(F,A) & r1_tarski(E,C) & r1_tarski(D,B) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))))))) <-> r2_tsep_1(A,B,C))))))))) # label(t61_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11182 $T # label(t50_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11183 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (all D (m1_pre_topc(D,A) & -v3_struct_0(D) -> (r3_tsep_1(A,B,D) -> r1_tsep_1(A,B,C) | r3_tsep_1(A,k2_tsep_1(A,B,C),D)))))))))) # label(t78_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.92	11184 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (v1_borsuk_1(k1_tsep_1(A,B,C),A) & r3_tsep_1(A,B,C) & m1_pre_topc(k1_tsep_1(A,B,C),A) -> m1_pre_topc(B,A) & v1_borsuk_1(B,A)))))))) # label(t72_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11185 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) & v1_tsep_1(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) & v1_tsep_1(C,A) -> m1_pre_topc(k1_tsep_1(A,B,C),A) & v1_tsep_1(k1_tsep_1(A,B,C),A))))))) # label(t25_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11186 (all A (l1_pre_topc(A) -> m1_pre_topc(A,A))) # label(t2_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11187 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (g1_pre_topc(u1_struct_0(C),u1_pre_topc(C)) = k1_tsep_1(A,B,C) <-> m1_pre_topc(B,C)))))))) # label(t23_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11188 (all A all B all C (-v3_struct_0(A) & -v3_struct_0(B) & -v3_struct_0(C) & m1_pre_topc(C,A) & m1_pre_topc(B,A) & l1_pre_topc(A) -> m1_pre_topc(k1_tsep_1(A,B,C),A) & v1_pre_topc(k1_tsep_1(A,B,C)) & -v3_struct_0(k1_tsep_1(A,B,C)))) # label(dt_k1_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11189 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> m1_subset_1(u1_struct_0(B),k1_zfmisc_1(u1_struct_0(A))))))) # label(t1_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11190 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all 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))) -> (v3_pre_topc(C,A) & v3_pre_topc(B,A) -> (r1_xboole_0(B,C) <-> r1_connsp_1(A,B,C))))))))) # label(t41_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11191 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all 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))) -> ((exists D ((exists E ((exists F (r1_tarski(k5_subset_1(u1_struct_0(A),F,k4_subset_1(u1_struct_0(A),B,C)),k5_subset_1(u1_struct_0(A),B,C)) & v4_pre_topc(F,A) & v3_pre_topc(E,A) & v3_pre_topc(D,A) & u1_struct_0(A) = k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),D,E),F) & r1_tarski(k5_subset_1(u1_struct_0(A),E,k4_subset_1(u1_struct_0(A),B,C)),C) & r1_tarski(k5_subset_1(u1_struct_0(A),D,k4_subset_1(u1_struct_0(A),B,C)),B) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))))) <-> r2_tsep_1(A,B,C)))))))) # label(t63_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11192 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v1_tsep_1(B,A) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & v1_tsep_1(C,A) & m1_pre_topc(C,A) -> (-r1_tsep_1(A,B,C) -> v1_tsep_1(k2_tsep_1(A,B,C),A) & m1_pre_topc(k2_tsep_1(A,B,C),A)))))))) # label(t33_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11193 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> m1_pre_topc(B,k1_tsep_1(A,B,C)))))))) # label(t22_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11194 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) -> (r1_tsep_1(A,B,C) <-> r1_xboole_0(u1_struct_0(B),u1_struct_0(C))))))))) # label(d3_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11195 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (-r1_tsep_1(A,B,C) -> (m1_pre_topc(C,B) -> g1_pre_topc(u1_struct_0(C),u1_pre_topc(C)) = k2_tsep_1(A,B,C)) & (g1_pre_topc(u1_struct_0(C),u1_pre_topc(C)) = k2_tsep_1(A,B,C) -> m1_pre_topc(C,B)) & (k2_tsep_1(A,B,C) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) -> m1_pre_topc(B,C)) & (m1_pre_topc(B,C) -> k2_tsep_1(A,B,C) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)))))))))) # label(t31_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11196 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all 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))) -> (v3_pre_topc(C,A) & v3_pre_topc(B,A) -> r2_tsep_1(A,B,C)))))))) # label(t54_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11197 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (all D (m1_pre_topc(D,A) & -v3_struct_0(D) -> (r4_tsep_1(A,B,C) -> r4_tsep_1(A,k1_tsep_1(A,B,D),k1_tsep_1(A,C,D))))))))))) # label(t89_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11198 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all 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))) -> ((exists D ((exists E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & v4_pre_topc(D,A) & v4_pre_topc(E,A) & r1_xboole_0(E,B) & r1_xboole_0(D,C) & r1_tarski(C,E) & r1_tarski(B,D))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))))) <-> r1_connsp_1(A,B,C)))))))) # label(t46_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11199 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (-r1_tsep_1(A,B,C) -> (all D (m1_pre_topc(D,A) & v1_pre_topc(D) & -v3_struct_0(D) -> (k3_xboole_0(u1_struct_0(B),u1_struct_0(C)) = u1_struct_0(D) <-> k2_tsep_1(A,B,C) = D)))))))))) # label(d5_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11200 $T # label(t28_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11201 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all 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))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r1_connsp_1(A,B,D) | r1_connsp_1(A,C,D) -> r1_connsp_1(A,k5_subset_1(u1_struct_0(A),B,C),D)))))))))) # label(t44_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11202 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> ((exists D (-v3_struct_0(D) & (exists E (r4_tsep_1(A,D,E) & m1_pre_topc(C,E) & (r1_tsep_1(A,k2_tsep_1(A,D,E),k1_tsep_1(A,B,C)) | r1_tsep_1(A,D,E)) & m1_pre_topc(B,D) & m1_pre_topc(E,A) & -v3_struct_0(E))) & m1_pre_topc(D,A))) <-> r3_tsep_1(A,B,C)))))))) # label(t99_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11203 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (all D (-v3_struct_0(D) & m1_pre_topc(D,A) -> -(-r1_tsep_1(A,B,D) & -(k2_tsep_1(A,D,k1_tsep_1(A,B,C)) = k1_tsep_1(A,k2_tsep_1(A,D,B),k2_tsep_1(A,D,C)) & k1_tsep_1(A,k2_tsep_1(A,B,D),k2_tsep_1(A,C,D)) = k2_tsep_1(A,k1_tsep_1(A,B,C),D)) & -r1_tsep_1(A,D,C)))))))))) # label(t35_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11204 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (m1_pre_topc(B,C) -> r4_tsep_1(A,B,C)))))))) # label(t86_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11205 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (all D (-v3_struct_0(D) & m1_pre_topc(D,A) -> (r3_tsep_1(A,C,D) -> r1_tsep_1(A,C,B) | r3_tsep_1(A,k2_tsep_1(A,C,B),k2_tsep_1(A,D,B)) & r3_tsep_1(A,k2_tsep_1(A,B,C),k2_tsep_1(A,B,D)) | r1_tsep_1(A,D,B)))))))))) # label(t76_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11206 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (-r1_tsep_1(A,B,C) -> (-(-m1_pre_topc(B,C) & (all D (m1_pre_topc(D,A) & v1_tsep_1(D,A) & -v3_struct_0(D) -> (all E (-v3_struct_0(E) & v1_tsep_1(E,A) & m1_pre_topc(E,A) -> -(m1_pre_topc(k2_tsep_1(A,D,k1_tsep_1(A,B,C)),B) & m1_pre_topc(k2_tsep_1(A,E,k1_tsep_1(A,B,C)),C) & -((all F (m1_pre_topc(F,A) & v1_borsuk_1(F,A) & -v3_struct_0(F) -> -(g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = k1_tsep_1(A,k1_tsep_1(A,D,E),F) & m1_pre_topc(k2_tsep_1(A,F,k1_tsep_1(A,B,C)),k2_tsep_1(A,B,C))))) & -m1_pre_topc(k1_tsep_1(A,B,C),k1_tsep_1(A,D,E)))))))) & -m1_pre_topc(C,B)) <-> r4_tsep_1(A,B,C))))))))) # label(t96_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11207 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (all D (m1_pre_topc(D,A) & -v3_struct_0(D) -> (r4_tsep_1(A,D,C) & r4_tsep_1(A,D,B) -> r4_tsep_1(A,D,k1_tsep_1(A,B,C))) & (r4_tsep_1(A,B,D) & r4_tsep_1(A,C,D) -> r4_tsep_1(A,k1_tsep_1(A,B,C),D)))))))))) # label(t92_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11208 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) -> (u1_struct_0(B) = u1_struct_0(C) -> g1_pre_topc(u1_struct_0(C),u1_pre_topc(C)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B))))))))) # label(t5_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11209 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) & v1_tsep_1(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) & v1_tsep_1(C,A) -> (r1_tsep_1(A,B,C) <-> r3_tsep_1(A,B,C)))))))) # label(t73_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11210 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) -> (r3_tsep_1(A,B,C) <-> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (D = u1_struct_0(B) & E = u1_struct_0(C) -> r1_connsp_1(A,D,E))))))))))))) # label(d8_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11211 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & v1_tsep_1(B,A) -> (all C (v1_tsep_1(C,A) & m1_pre_topc(C,A) -> r4_tsep_1(A,B,C))))))) # label(t88_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11212 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (k1_tsep_1(A,B,C) = A & r3_tsep_1(A,B,C) -> v1_borsuk_1(B,A) & m1_pre_topc(B,A)))))))) # label(t71_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11213 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (all D (m1_pre_topc(D,A) & -v3_struct_0(D) -> (-r1_tsep_1(A,C,D) & -r1_tsep_1(A,B,k2_tsep_1(A,C,D)) | -r1_tsep_1(A,k2_tsep_1(A,B,C),D) & -r1_tsep_1(A,B,C) -> k2_tsep_1(A,k2_tsep_1(A,B,C),D) = k2_tsep_1(A,B,k2_tsep_1(A,C,D))) & (-r1_tsep_1(A,B,C) -> k2_tsep_1(A,C,B) = k2_tsep_1(A,B,C)))))))))) # label(t29_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11214 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all 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))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r1_connsp_1(A,k4_subset_1(u1_struct_0(A),B,C),D) <-> r1_connsp_1(A,C,D) & r1_connsp_1(A,B,D)))))))))) # label(t45_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11215 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(B) = C -> (v1_tsep_1(B,A) & m1_pre_topc(B,A) <-> v3_pre_topc(C,A))))))))) # label(t16_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11216 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (all D (m1_pre_topc(D,A) & -v3_struct_0(D) -> k1_tsep_1(A,k1_tsep_1(A,B,C),D) = k1_tsep_1(A,B,k1_tsep_1(A,C,D)))))))))) # label(t21_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11217 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all 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))) -> (r1_tarski(B,C) -> r2_tsep_1(A,B,C)))))))) # label(t52_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11218 $T # label(d4_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11219 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all 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))) -> (v4_pre_topc(B,A) & v4_pre_topc(C,A) -> (r1_connsp_1(A,B,C) <-> r1_xboole_0(B,C))))))))) # label(t38_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11220 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (-r1_tsep_1(A,B,C) -> m1_pre_topc(k2_tsep_1(A,B,C),k1_tsep_1(A,B,C))))))))) # label(t34_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11221 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (r3_tsep_1(A,B,C) <-> (exists D (-v3_struct_0(D) & v1_borsuk_1(D,A) & m1_pre_topc(D,A) & (exists E (-v3_struct_0(E) & v1_borsuk_1(E,A) & m1_pre_topc(C,E) & r1_tsep_1(A,E,B) & r1_tsep_1(A,D,C) & m1_pre_topc(B,D) & m1_pre_topc(E,A)))))))))))) # label(t80_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11222 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> -((all C (-v3_struct_0(C) & v1_pre_topc(C) & m1_pre_topc(C,A) & v1_borsuk_1(C,A) -> B != u1_struct_0(C))) & v4_pre_topc(B,A)))))) # label(t15_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11223 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all 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))) -> -(k4_subset_1(u1_struct_0(A),B,C) = u1_struct_0(A) & r2_tsep_1(A,B,C) & -r1_tarski(B,C) & -r1_tarski(C,B) & (all D (-v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(E) -> -(v3_pre_topc(D,A) & r1_tarski(D,B) & r1_tarski(E,C) & -((all F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(F) -> -(k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),D,E),F) = k4_subset_1(u1_struct_0(A),B,C) & v4_pre_topc(F,A) & r1_tarski(F,k5_subset_1(u1_struct_0(A),B,C))))) & k4_subset_1(u1_struct_0(A),D,E) != k4_subset_1(u1_struct_0(A),B,C)) & v3_pre_topc(E,A))))))))))))) # label(t66_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11224 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all 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))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r2_tsep_1(A,B,D) & r2_tsep_1(A,C,D) -> r2_tsep_1(A,k4_subset_1(u1_struct_0(A),B,C),D)))))))))) # label(t58_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11225 (all A (l1_pre_topc(A) -> (all 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))) -> (r1_connsp_1(A,k6_subset_1(u1_struct_0(A),B,C),k6_subset_1(u1_struct_0(A),C,B)) <-> r2_tsep_1(A,B,C)))))))) # label(d7_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11226 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) -> (r1_tarski(D,C) & D = E & r1_tarski(C,u1_struct_0(B)) & v3_pre_topc(C,A) -> (v3_pre_topc(E,B) <-> v3_pre_topc(D,A))))))))))))) # label(t9_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11227 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (A = k1_tsep_1(A,B,C) & r3_tsep_1(A,B,C) -> m1_pre_topc(B,A) & v1_tsep_1(B,A)))))))) # label(t74_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11228 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all 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))) -> ((exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & (exists E (r1_xboole_0(D,C) & r1_xboole_0(E,B) & v3_pre_topc(D,A) & v3_pre_topc(E,A) & r1_tarski(C,E) & r1_tarski(B,D) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))))))) <-> r1_connsp_1(A,B,C)))))))) # label(t48_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11229 $T # label(t26_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11230 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) -> (r1_tarski(u1_struct_0(B),u1_struct_0(C)) <-> m1_pre_topc(B,C)))))))) # label(t4_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11231 $T # label(d6_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11232 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (all D (v1_pre_topc(D) & m1_pre_topc(D,A) & -v3_struct_0(D) -> (k2_xboole_0(u1_struct_0(B),u1_struct_0(C)) = u1_struct_0(D) <-> D = k1_tsep_1(A,B,C)))))))))) # label(d2_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11233 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (v1_borsuk_1(B,A) & m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (D = C -> (v4_pre_topc(C,A) <-> v4_pre_topc(D,B))))))))))) # label(t12_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11234 (all A all B all C (l1_pre_topc(A) & m1_pre_topc(C,A) & m1_pre_topc(B,A) -> (r1_tsep_1(A,B,C) -> r1_tsep_1(A,C,B)))) # label(symmetry_r1_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11235 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,B) -> m1_pre_topc(C,A))))))) # label(t7_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11236 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) -> (m1_pre_topc(C,B) & m1_pre_topc(B,C) -> g1_pre_topc(u1_struct_0(C),u1_pre_topc(C)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B))))))))) # label(t6_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11237 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all 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))) -> -(r2_tsep_1(A,B,C) & -r1_tarski(C,B) & (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))) -> -(v3_pre_topc(E,A) & r1_tarski(k5_subset_1(u1_struct_0(A),D,k4_subset_1(u1_struct_0(A),B,C)),B) & r1_tarski(k5_subset_1(u1_struct_0(A),E,k4_subset_1(u1_struct_0(A),B,C)),C) & -(-r1_tarski(k4_subset_1(u1_struct_0(A),B,C),k4_subset_1(u1_struct_0(A),D,E)) & (all F (-v1_xboole_0(F) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) -> -(u1_struct_0(A) = k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),D,E),F) & r1_tarski(k5_subset_1(u1_struct_0(A),F,k4_subset_1(u1_struct_0(A),B,C)),k5_subset_1(u1_struct_0(A),B,C)) & v4_pre_topc(F,A))))) & v3_pre_topc(D,A)))))) & -r1_tarski(B,C)))))))) # label(t64_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11238 (all A all B all C (m1_pre_topc(C,A) & m1_pre_topc(B,A) & l1_pre_topc(A) -> (r3_tsep_1(A,B,C) -> r3_tsep_1(A,C,B)))) # label(symmetry_r3_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11239 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (all D (m1_pre_topc(D,A) & -v3_struct_0(D) -> (r3_tsep_1(A,B,D) & r3_tsep_1(A,C,D) <-> r3_tsep_1(A,k1_tsep_1(A,B,C),D)))))))))) # label(t79_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11240 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> ((exists D (m1_pre_topc(D,A) & (exists E (v1_tsep_1(E,A) & m1_pre_topc(E,A) & m1_pre_topc(B,D) & (r1_tsep_1(A,k2_tsep_1(A,D,E),k1_tsep_1(A,B,C)) | r1_tsep_1(A,D,E)) & m1_pre_topc(C,E) & -v3_struct_0(E))) & v1_tsep_1(D,A) & -v3_struct_0(D))) <-> r3_tsep_1(A,B,C)))))))) # label(t83_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11241 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (k1_tsep_1(A,B,C) = A -> r1_tsep_1(A,B,C) | (-(-m1_pre_topc(B,C) & (all D (m1_pre_topc(D,A) & v1_borsuk_1(D,A) & -v3_struct_0(D) -> (all E (m1_pre_topc(E,A) & v1_borsuk_1(E,A) & -v3_struct_0(E) -> -(m1_pre_topc(D,B) & m1_pre_topc(E,C) & -((all F (-v3_struct_0(F) & v1_tsep_1(F,A) & m1_pre_topc(F,A) -> -(m1_pre_topc(F,k2_tsep_1(A,B,C)) & k1_tsep_1(A,k1_tsep_1(A,D,E),F) = A))) & A != k1_tsep_1(A,D,E))))))) & -m1_pre_topc(C,B)) <-> r4_tsep_1(A,B,C))))))))) # label(t94_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11242 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (r4_tsep_1(A,B,C) & r1_tsep_1(A,B,C) <-> r3_tsep_1(A,B,C)))))))) # label(t85_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11243 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all 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))) -> -(u1_struct_0(A) = k4_subset_1(u1_struct_0(A),B,C) & -r1_tarski(C,B) & (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))) -> -(r1_tarski(D,B) & -(k4_subset_1(u1_struct_0(A),D,E) != k4_subset_1(u1_struct_0(A),B,C) & (all F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(F) -> -(k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),D,E),F) = k4_subset_1(u1_struct_0(A),B,C) & v3_pre_topc(F,A) & r1_tarski(F,k5_subset_1(u1_struct_0(A),B,C)))))) & r1_tarski(E,C) & v4_pre_topc(E,A) & v4_pre_topc(D,A)))))) & -r1_tarski(B,C) & r2_tsep_1(A,B,C)))))))) # label(t62_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11244 $T # label(t27_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11245 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (all D (m1_pre_topc(D,A) & -v3_struct_0(D) -> (-r1_tsep_1(A,B,C) -> k1_tsep_1(A,D,k2_tsep_1(A,B,C)) = k2_tsep_1(A,k1_tsep_1(A,D,B),k1_tsep_1(A,D,C)) & k2_tsep_1(A,k1_tsep_1(A,B,D),k1_tsep_1(A,C,D)) = k1_tsep_1(A,k2_tsep_1(A,B,C),D)))))))))) # label(t36_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11246 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all 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))) -> ((exists D ((exists E (r2_tsep_1(A,D,E) & r1_tarski(C,E) & r1_xboole_0(k5_subset_1(u1_struct_0(A),D,E),k4_subset_1(u1_struct_0(A),B,C)) & r1_tarski(B,D) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))))) <-> r1_connsp_1(A,B,C)))))))) # label(t67_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11247 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (exists C (v1_pre_topc(C) & m1_pre_topc(C,A) & B = u1_struct_0(C) & -v3_struct_0(C))))))) # label(t10_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11248 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all 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))) -> ((exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & (exists E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & (exists F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & r1_tarski(k5_subset_1(u1_struct_0(A),E,k4_subset_1(u1_struct_0(A),B,C)),C) & k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),D,E),F) = u1_struct_0(A) & v3_pre_topc(F,A) & v4_pre_topc(E,A) & v4_pre_topc(D,A) & r1_tarski(k5_subset_1(u1_struct_0(A),F,k4_subset_1(u1_struct_0(A),B,C)),k5_subset_1(u1_struct_0(A),B,C)) & r1_tarski(k5_subset_1(u1_struct_0(A),D,k4_subset_1(u1_struct_0(A),B,C)),B))))))) <-> r2_tsep_1(A,B,C)))))))) # label(t59_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11249 $T # label(t37_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11250 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all 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))) -> ((exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & (exists E (r1_xboole_0(k5_subset_1(u1_struct_0(A),D,E),k4_subset_1(u1_struct_0(A),B,C)) & v3_pre_topc(D,A) & v3_pre_topc(E,A) & r1_tarski(C,E) & r1_tarski(B,D) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))))))) <-> r1_connsp_1(A,B,C)))))))) # label(t49_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11251 (all A (v1_pre_topc(A) & l1_pre_topc(A) -> k3_pre_topc(A,k2_pre_topc(A)) = A)) # label(t3_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11252 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (v1_tsep_1(B,A) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (r1_tarski(u1_struct_0(B),u1_struct_0(C)) -> m1_pre_topc(B,C) & v1_tsep_1(B,C)))))))) # label(t19_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11253 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (r3_tsep_1(A,B,C) -> r1_tsep_1(A,B,C)))))))) # label(t68_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11254 (all A all B all C (l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_tsep_1(A,B,C) -> r2_tsep_1(A,C,B)))) # label(symmetry_r2_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11255 (all A (l1_pre_topc(A) & v2_pre_topc(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_pre_topc(C,A) & v1_tsep_1(C,A) & v1_pre_topc(C) & -v3_struct_0(C) -> B != u1_struct_0(C))) & v3_pre_topc(B,A)))))) # label(t20_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11256 $T # label(t69_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11257 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & v1_borsuk_1(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & v1_borsuk_1(C,A) & m1_pre_topc(C,A) -> v1_borsuk_1(k1_tsep_1(A,B,C),A) & m1_pre_topc(k1_tsep_1(A,B,C),A))))))) # label(t24_tsep_1) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11258 (all A (l3_lattices(A) & -v3_struct_0(A) -> (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v4_lattice3(A) -> (all B all C (m1_subset_1(C,u1_struct_0(A)) -> (C = k15_lattice3(A,B) <-> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r4_lattice3(A,D,B) -> r1_lattices(A,C,D)))) & r4_lattice3(A,C,B))))))) # label(d21_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11259 (all A all B (l3_lattices(A) & -v3_struct_0(A) -> m1_subset_1(k15_lattice3(A,B),u1_struct_0(A)))) # label(dt_k15_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11260 (all A (l1_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(k7_lattice3(A))) -> k9_lattice3(A,B) = B)))) # label(d7_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11261 (all A (l1_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r1_orders_2(k7_lattice3(A),k8_lattice3(A,C),k8_lattice3(A,B)) <-> r1_orders_2(A,B,C)))))))) # label(t9_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11262 (all A all B (-v3_struct_0(B) & l3_lattices(B) & v5_lattice3(B) & v4_lattice3(B) & v10_lattices(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k15_lattice3(B,a_3_8_lattice3(A,B,C)) = k4_lattices(B,k15_lattice3(B,A),C) & k15_lattice3(B,a_3_7_lattice3(A,B,C)) = k4_lattices(B,C,k15_lattice3(B,A)))))) # label(t54_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11263 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> k2_lattice3(k1_lattice2(A)) = k6_lattice3(u1_struct_0(A),k2_lattice3(A)) & k7_lattice3(k3_lattice3(A)) = k3_lattice3(k1_lattice2(A)))) # label(t20_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11264 (exists A (m1_subset_1(A,f2_s1_lattice3) & p1_s1_lattice3(A))) -> a_0_0_lattice3 = k1_tarski(f1_s1_lattice3) # label(s1_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11265 (all A (-v3_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) -> (all B k15_lattice3(A,B) = k16_lattice3(A,a_2_2_lattice3(A,B))))) # label(t37_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11266 (all A (l1_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k8_lattice3(A,B) = B)))) # label(d6_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11267 (all A all B all C (m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l1_orders_2(A) -> m1_subset_1(k10_lattice3(A,B,C),u1_struct_0(A)))) # label(dt_k10_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11268 (all A v4_lattice3(k1_lattice3(A))) # label(t25_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11269 (all A (v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) & -v3_struct_0(A) -> ((all B all C (m1_subset_1(C,u1_struct_0(A)) -> r3_lattices(A,k16_lattice3(A,a_3_5_lattice3(A,B,C)),k3_lattices(A,C,k16_lattice3(A,B))))) <-> v6_lattice3(A)))) # label(t36_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11270 (all A all B (l3_lattices(A) & -v3_struct_0(A) -> m1_subset_1(k16_lattice3(A,B),u1_struct_0(A)))) # label(dt_k16_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11271 (all A (v6_lattices(k1_lattice3(A)) & v7_lattices(k1_lattice3(A)) & v8_lattices(k1_lattice3(A)) & v9_lattices(k1_lattice3(A)) & v10_lattices(k1_lattice3(A)) & v5_lattices(k1_lattice3(A)) & v4_lattices(k1_lattice3(A)) & v3_lattices(k1_lattice3(A)) & -v3_struct_0(k1_lattice3(A)))) # label(fc2_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11272 (all A all B all C (-v3_struct_0(B) & v4_lattice3(B) & l3_lattices(B) & v10_lattices(B) -> ((exists D ((exists E (m1_subset_1(E,u1_struct_0(B)) & r2_hidden(E,C) & r3_lattices(B,E,D))) & D = A & m1_subset_1(D,u1_struct_0(B)))) <-> r2_hidden(A,a_2_6_lattice3(B,C))))) # label(fraenkel_a_2_6_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11273 (all A all B all C all D (m1_subset_1(D,u1_struct_0(B)) & l3_lattices(B) & -v3_struct_0(B) -> ((exists E (k2_lattices(B,D,E) = A & r2_hidden(E,C) & m1_subset_1(E,u1_struct_0(B)))) <-> r2_hidden(A,a_3_0_lattice3(B,C,D))))) # label(fraenkel_a_3_0_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11274 (exists A (l3_lattices(A) & -v3_struct_0(A) & v6_lattices(A) & v8_lattices(A) & v9_lattices(A) & v5_lattice3(A) & v6_lattice3(A) & v4_lattice3(A) & v10_lattices(A) & v7_lattices(A) & v5_lattices(A) & v4_lattices(A) & v3_lattices(A))) # label(rc3_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11275 (all A (-v3_struct_0(A) & l1_orders_2(A) -> v1_orders_2(k7_lattice3(A)) & -v3_struct_0(k7_lattice3(A)))) # label(fc6_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11276 (all A (-v3_struct_0(A) & l3_lattices(A) & v4_lattice3(A) & v10_lattices(A) -> (all B (r1_tarski(B,k1_zfmisc_1(u1_struct_0(A))) -> k15_lattice3(A,k3_tarski(B)) = k15_lattice3(A,a_2_7_lattice3(A,B)))))) # label(t49_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11277 (all A all B all C (v4_orders_2(A) & v1_lattice3(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l1_orders_2(A) -> k13_lattice3(A,B,C) = k10_lattice3(A,B,C))) # label(redefinition_k13_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11278 (all A (v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) & -v3_struct_0(A) -> (v5_lattice3(A) <-> (all B all C (m1_subset_1(C,u1_struct_0(A)) -> r3_lattices(A,k4_lattices(A,C,k15_lattice3(A,B)),k15_lattice3(A,a_3_3_lattice3(A,B,C)))))))) # label(t33_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11279 (all A (-v3_struct_0(A) & l3_lattices(A) -> (v4_lattice3(A) <-> (all B exists C (r4_lattice3(A,C,B) & (all D (m1_subset_1(D,u1_struct_0(A)) -> (r4_lattice3(A,D,B) -> r1_lattices(A,C,D)))) & m1_subset_1(C,u1_struct_0(A))))))) # label(d18_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11280 (all A (r2_hidden(A,a_0_1_lattice3) <-> (exists B (m1_subset_1(B,f1_s2_lattice3) & A = f3_s2_lattice3(B) & p1_s2_lattice3(B))))) # label(fraenkel_a_0_1_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11281 (all A ((exists B (p1_s2_lattice3(B) & k1_funct_1(f4_s2_lattice3,f3_s2_lattice3(B)) = A & m1_subset_1(B,f1_s2_lattice3))) <-> r2_hidden(A,a_0_2_lattice3))) # label(fraenkel_a_0_2_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11282 (all A all B all C (l3_lattices(B) & -v3_struct_0(B) -> (r2_hidden(A,a_2_1_lattice3(B,C)) <-> (exists D (m1_subset_1(D,u1_struct_0(B)) & D = A & r3_lattice3(B,D,C)))))) # label(fraenkel_a_2_1_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11283 (all A all B (m1_subset_1(B,u1_struct_0(k1_lattice3(A))) -> (all C (m1_subset_1(C,u1_struct_0(k1_lattice3(A))) -> (r1_lattices(k1_lattice3(A),B,C) <-> r1_tarski(B,C)))))) # label(t2_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11284 (all A (v4_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k10_lattice3(A,B,C) = k10_lattice3(A,C,B))))))) # label(t13_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11285 (all A all B all C (v10_lattices(B) & l3_lattices(B) & v4_lattice3(B) & -v3_struct_0(B) -> (r2_hidden(A,a_2_5_lattice3(B,C)) <-> (exists D (A = D & (exists E (m1_subset_1(E,u1_struct_0(B)) & r3_lattices(B,D,E) & r2_hidden(E,C))) & m1_subset_1(D,u1_struct_0(B))))))) # label(fraenkel_a_2_5_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11286 (all A (l1_orders_2(A) -> (v2_lattice3(A) -> -v3_struct_0(A)))) # label(cc2_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11287 (all A all B (m1_subset_1(B,u1_struct_0(k1_lattice3(A))) -> k7_lattices(k1_lattice3(A),B) = k4_xboole_0(A,B))) # label(t5_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11288 (all A (l1_orders_2(A) & -v3_struct_0(A) -> (v3_lattice3(A) -> v2_lattice3(A) & v1_lattice3(A)))) # label(t12_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11289 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (v10_lattices(B) & l3_lattices(B) & -v3_struct_0(B) -> (k3_lattice3(A) = k3_lattice3(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))))))) # label(t6_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11290 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> v1_orders_2(k3_lattice3(A)) & v2_orders_2(k3_lattice3(A)) & v4_orders_2(k3_lattice3(A)) & l1_orders_2(k3_lattice3(A)) & v3_orders_2(k3_lattice3(A)))) # label(dt_k3_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11291 $T # label(t39_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11292 (all A all B (-v3_struct_0(A) & v10_lattices(A) & m1_subset_1(B,u1_struct_0(k3_lattice3(A))) & l3_lattices(A) -> m1_subset_1(k5_lattice3(A,B),u1_struct_0(A)))) # label(dt_k5_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11293 (all A (-v1_xboole_0(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,k1_zfmisc_1(A),A) & v1_funct_2(B,k1_zfmisc_1(A),A) -> -((all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) -> k8_funct_2(k1_zfmisc_1(A),A,B,k10_relset_1(k1_zfmisc_1(A),A,B,C)) = k1_funct_1(B,k3_tarski(C)))) & (all C (l3_lattices(C) & v4_lattice3(C) & v10_lattices(C) & v3_lattices(C) & -v3_struct_0(C) -> -((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) -> k15_lattice3(C,D) = k1_funct_1(B,D))) & A = u1_struct_0(C)))) & (all C (m1_subset_1(C,A) -> k8_funct_2(k1_zfmisc_1(A),A,B,k6_domain_1(A,C)) = C))))))) # label(t56_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11294 (all A (v3_lattices(k1_lattice3(A)) & l3_lattices(k1_lattice3(A)))) # label(dt_k1_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.93	11295 (all A all B all C all D (v10_lattices(B) & m1_subset_1(D,u1_struct_0(B)) & l3_lattices(B) & v4_lattice3(B) & -v3_struct_0(B) -> ((exists E (A = k4_lattices(B,D,E) & r2_hidden(E,C) & m1_subset_1(E,u1_struct_0(B)))) <-> r2_hidden(A,a_3_3_lattice3(B,C,D))))) # label(fraenkel_a_3_3_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11296 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(k3_lattice3(A))) -> B = k5_lattice3(A,B))))) # label(d4_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11297 (all A (-v3_struct_0(A) & v4_lattice3(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)) -> k4_lattices(A,B,C) = k16_lattice3(A,k2_struct_0(A,B,C)) & k3_lattices(A,B,C) = k15_lattice3(A,k2_struct_0(A,B,C)))))))) # label(t44_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11298 (all A (l3_lattices(A) & v4_lattice3(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C r3_lattices(A,k15_lattice3(A,a_3_2_lattice3(A,B,C)),k4_lattices(A,B,k15_lattice3(A,C)))))))) # label(t32_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11299 (exists A (-v3_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & v3_lattice3(A) & v2_orders_2(A) & v1_orders_2(A) & l1_orders_2(A))) # label(rc1_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11300 (all A (r2_hidden(A,a_0_0_lattice3) <-> (exists B (A = f1_s1_lattice3 & p1_s1_lattice3(B) & m1_subset_1(B,f2_s1_lattice3))))) # label(fraenkel_a_0_0_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11301 (all A all B (l3_lattices(B) & v3_lattices(B) -> (k1_lattice3(A) = B <-> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> k4_subset_1(A,C,D) = k1_binop_1(u2_lattices(B),C,D) & k1_binop_1(u1_lattices(B),C,D) = k5_subset_1(A,C,D))))) & u1_struct_0(B) = k1_zfmisc_1(A)))) # label(d1_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11302 (all A all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (all C (m1_subset_1(C,u1_struct_0(k3_lattice3(B))) -> (r1_lattice3(k3_lattice3(B),A,C) <-> r3_lattice3(B,k5_lattice3(B,C),A)))))) # label(t29_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11303 (all A all B (m1_subset_1(B,u1_struct_0(k1_lattice3(A))) -> (all C (m1_subset_1(C,u1_struct_0(k1_lattice3(A))) -> k3_xboole_0(B,C) = k2_lattices(k1_lattice3(A),B,C) & k2_xboole_0(B,C) = k1_lattices(k1_lattice3(A),B,C))))) # label(t1_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11304 (all A all B all C all D (-v3_struct_0(C) & v5_lattice3(C) & m1_subset_1(D,u1_struct_0(C)) & l3_lattices(C) & v4_lattice3(C) & v10_lattices(C) -> ((exists E (m1_subset_1(E,u1_struct_0(C)) & r2_hidden(E,B) & A = k4_lattices(C,D,E))) <-> r2_hidden(A,a_3_7_lattice3(B,C,D))))) # label(fraenkel_a_3_7_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11305 (all A (v10_lattices(A) & l3_lattices(A) & v4_lattice3(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k15_lattice3(A,a_2_3_lattice3(A,B)) & k16_lattice3(A,a_2_4_lattice3(A,B)) = B)))) # label(t45_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11306 (all A (l1_orders_2(A) & v4_orders_2(A) & v3_orders_2(A) & v2_orders_2(A) -> v4_orders_2(k7_lattice3(A)) & v3_orders_2(k7_lattice3(A)) & v2_orders_2(k7_lattice3(A)) & v1_orders_2(k7_lattice3(A)))) # label(fc5_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11307 (all A (-v3_struct_0(A) & v2_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & v3_lattice3(A) & v3_orders_2(A) -> -v3_struct_0(k14_lattice3(A)) & v3_lattices(k14_lattice3(A)) & v5_lattices(k14_lattice3(A)) & v8_lattices(k14_lattice3(A)) & v9_lattices(k14_lattice3(A)) & v4_lattice3(k14_lattice3(A)) & v10_lattices(k14_lattice3(A)) & v7_lattices(k14_lattice3(A)) & v6_lattices(k14_lattice3(A)) & v4_lattices(k14_lattice3(A)))) # label(fc7_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11308 (all A all B all C (m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & l1_orders_2(A) & v2_lattice3(A) & v4_orders_2(A) -> k12_lattice3(A,C,B) = k12_lattice3(A,B,C))) # label(commutativity_k12_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11309 (all A all B (v4_relat_2(B) & v8_relat_2(B) & m1_relset_1(B,A,A) & v1_partfun1(B,A,A) & v1_relat_2(B) -> v1_relat_2(k6_lattice3(A,B)) & v4_relat_2(k6_lattice3(A,B)) & m2_relset_1(k6_lattice3(A,B),A,A) & v1_partfun1(k6_lattice3(A,B),A,A) & v8_relat_2(k6_lattice3(A,B)))) # label(dt_k6_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11310 (all A v5_lattice3(k1_lattice3(A))) # label(t26_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11311 (all A (v4_lattice3(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (r2_hidden(B,C) -> r3_lattices(A,k16_lattice3(A,C),B) & r3_lattices(A,B,k15_lattice3(A,C)))))))) # label(t38_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11312 (all A all B all C (v4_orders_2(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l1_orders_2(A) & v2_lattice3(A) -> k11_lattice3(A,B,C) = k12_lattice3(A,B,C))) # label(redefinition_k12_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11313 (all A all B all C (v2_lattice3(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l1_orders_2(A) & v4_orders_2(A) -> m1_subset_1(k12_lattice3(A,B,C),u1_struct_0(A)))) # label(dt_k12_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11314 (all A (v2_orders_2(A) & v3_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) & v2_lattice3(A) & v4_orders_2(A) -> (exists B (-v3_struct_0(B) & v3_lattices(B) & l3_lattices(B) & k3_lattice3(B) = g1_orders_2(u1_struct_0(A),u1_orders_2(A)) & v10_lattices(B))))) # label(t19_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11315 (all A all B all C all D (v6_lattice3(C) & l3_lattices(C) & m1_subset_1(D,u1_struct_0(C)) & v4_lattice3(C) & v10_lattices(C) & -v3_struct_0(C) -> ((exists E (m1_subset_1(E,u1_struct_0(C)) & r2_hidden(E,B) & A = k3_lattices(C,D,E))) <-> r2_hidden(A,a_3_9_lattice3(B,C,D))))) # label(fraenkel_a_3_9_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11316 (all A (v2_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) & v2_lattice3(A) & v4_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> C = k13_lattice3(A,k12_lattice3(A,B,C),C))))))) # label(t17_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11317 (all A all B all C (m1_subset_1(C,u1_struct_0(B)) & l3_lattices(B) & v4_lattice3(B) & v10_lattices(B) & -v3_struct_0(B) -> (r2_hidden(A,a_2_4_lattice3(B,C)) <-> (exists D (r3_lattices(B,C,D) & D = A & m1_subset_1(D,u1_struct_0(B))))))) # label(fraenkel_a_2_4_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11318 (all A (l1_orders_2(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)) & r1_orders_2(A,C,D) & (all E (m1_subset_1(E,u1_struct_0(A)) -> (r1_orders_2(A,B,E) & r1_orders_2(A,C,E) -> r1_orders_2(A,D,E)))) & r1_orders_2(A,B,D))))))) <-> v1_lattice3(A)))) # label(d10_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11319 (all A (-v3_struct_0(A) & l3_lattices(A) -> (all B k16_lattice3(A,B) = k15_lattice3(A,a_2_1_lattice3(A,B))))) # label(d22_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11320 (all A (k6_lattices(k1_lattice3(A)) = A & v14_lattices(k1_lattice3(A)))) # label(t4_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11321 (all A all B all C all D (v4_lattice3(C) & m1_subset_1(D,u1_struct_0(C)) & l3_lattices(C) & v6_lattice3(C) & v10_lattices(C) & -v3_struct_0(C) -> ((exists E (m1_subset_1(E,u1_struct_0(C)) & k3_lattices(C,E,D) = A & r2_hidden(E,B))) <-> r2_hidden(A,a_3_10_lattice3(B,C,D))))) # label(fraenkel_a_3_10_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11322 (all A (l1_orders_2(A) -> (all B all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_lattice3(A,B,C) <-> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,B) -> r1_orders_2(A,D,C))))))))) # label(d9_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11323 (all A all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (r2_lattice3(k3_lattice3(B),A,k4_lattice3(B,C)) <-> r4_lattice3(B,C,A)))))) # label(t30_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11324 (all A (l3_lattices(A) & v4_lattice3(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B all C ((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) & r2_hidden(E,C)))) & r2_hidden(D,B)))) -> r3_lattices(A,k15_lattice3(A,B),k15_lattice3(A,C)))))) # label(t48_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11325 (all A (-v3_struct_0(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (r4_lattice3(A,B,C) <-> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,C) -> r1_lattices(A,D,B)))))))))) # label(d17_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11326 (all A (v10_lattices(A) & l3_lattices(A) & v4_lattice3(A) & -v3_struct_0(A) -> v10_lattices(A) & k6_lattices(A) = k15_lattice3(A,u1_struct_0(A)) & l3_lattices(A) & v14_lattices(A) & -v3_struct_0(A))) # label(t51_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11327 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> v2_lattice3(k3_lattice3(A)) & v1_lattice3(k3_lattice3(A)))) # label(t11_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11328 (all A (k1_xboole_0 = k5_lattices(k1_lattice3(A)) & v13_lattices(k1_lattice3(A)))) # label(t3_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11329 (all A (v3_lattices(k1_lattice3(A)) & -v3_struct_0(k1_lattice3(A)))) # label(fc1_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11330 (all A all B (v1_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A,A) & m1_relset_1(B,A,A) & v4_relat_2(B) -> B = k6_lattice3(A,k6_lattice3(A,B)))) # label(involutiveness_k6_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11331 (all A (l1_orders_2(A) -> (v3_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) & v4_orders_2(A) & v2_orders_2(A) -> (all B (v3_lattices(B) & l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = k3_lattice3(B) <-> B = k14_lattice3(A))))))) # label(d15_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11332 (all A (-v3_struct_0(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (r3_lattice3(A,B,C) <-> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,C) -> r1_lattices(A,B,D)))))))))) # label(d16_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11333 (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_subset_1(D,u1_struct_0(A)) -> (r3_lattice3(A,B,k2_struct_0(A,C,D)) <-> r3_lattices(A,B,k4_lattices(A,C,D))))))))))) # label(t21_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11334 (all A all B all C all D (-v3_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & m1_subset_1(C,u1_struct_0(B)) & l3_lattices(B) -> (r2_hidden(A,a_3_4_lattice3(B,C,D)) <-> (exists E (r2_hidden(E,D) & A = k3_lattices(B,C,E) & m1_subset_1(E,u1_struct_0(B))))))) # label(fraenkel_a_3_4_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11335 (all A all B all C (v4_lattice3(B) & l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> ((exists D (r4_lattice3(B,D,C) & A = D & m1_subset_1(D,u1_struct_0(B)))) <-> r2_hidden(A,a_2_2_lattice3(B,C))))) # label(fraenkel_a_2_2_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11336 (all A all B (m1_subset_1(B,u1_struct_0(k7_lattice3(A))) & l1_orders_2(A) -> m1_subset_1(k9_lattice3(A,B),u1_struct_0(A)))) # label(dt_k9_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11337 (all A (-v3_struct_0(A) & l3_lattices(A) & v4_lattice3(A) & v10_lattices(A) -> -v3_struct_0(A) & l3_lattices(A) & k5_lattices(A) = k15_lattice3(A,k1_xboole_0) & v13_lattices(A) & v10_lattices(A))) # label(t50_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11338 (all A (l1_orders_2(A) -> (v4_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> ((exists D (r1_orders_2(A,D,B) & (all E (m1_subset_1(E,u1_struct_0(A)) -> (r1_orders_2(A,E,B) & r1_orders_2(A,E,C) -> r1_orders_2(A,E,D)))) & r1_orders_2(A,D,C) & m1_subset_1(D,u1_struct_0(A)))) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (k11_lattice3(A,B,C) = D <-> r1_orders_2(A,D,B) & r1_orders_2(A,D,C) & (all E (m1_subset_1(E,u1_struct_0(A)) -> (r1_orders_2(A,E,B) & r1_orders_2(A,E,C) -> r1_orders_2(A,E,D))))))))))))))) # label(d14_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11339 (all A all B all C all D (v10_lattices(C) & v4_lattice3(C) & v5_lattice3(C) & m1_subset_1(D,u1_struct_0(C)) & l3_lattices(C) & -v3_struct_0(C) -> ((exists E (r2_hidden(E,B) & A = k4_lattices(C,E,D) & m1_subset_1(E,u1_struct_0(C)))) <-> r2_hidden(A,a_3_8_lattice3(B,C,D))))) # label(fraenkel_a_3_8_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11340 (all A (l1_orders_2(A) -> g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = k7_lattice3(k7_lattice3(A)))) # label(t8_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11341 (all A all B all C all D (v10_lattices(B) & v4_lattice3(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & l3_lattices(B) & -v3_struct_0(B) -> (r2_hidden(A,a_3_6_lattice3(B,C,D)) <-> (exists E (r3_lattices(B,k4_lattices(B,C,E),D) & A = E & m1_subset_1(E,u1_struct_0(B))))))) # label(fraenkel_a_3_6_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11342 (all A all B (-v3_struct_0(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & v10_lattices(A) -> m1_subset_1(k4_lattice3(A,B),u1_struct_0(k3_lattice3(A))))) # label(dt_k4_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11343 (all A all B all C (v4_orders_2(A) & v1_lattice3(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l1_orders_2(A) -> k13_lattice3(A,C,B) = k13_lattice3(A,B,C))) # label(commutativity_k13_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11344 (all A all B (v1_relat_2(B) & v4_relat_2(B) & v1_partfun1(B,A,A) & m1_relset_1(B,A,A) & v8_relat_2(B) -> k4_relat_1(B) = k6_lattice3(A,B))) # label(redefinition_k6_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11345 (all A (v10_lattices(A) & l3_lattices(A) & v4_lattice3(A) & -v3_struct_0(A) -> (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v3_filter_0(A) -> v5_lattice3(A)))) # label(t53_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11346 r1_tarski(f2_s2_lattice3,k1_relat_1(f4_s2_lattice3)) -> k9_relat_1(f4_s2_lattice3,a_0_1_lattice3) = a_0_2_lattice3 # label(s2_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11347 (all A (v2_lattice3(A) & l1_orders_2(A) & v1_lattice3(A) & v4_orders_2(A) & v2_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> B = k12_lattice3(A,B,k13_lattice3(A,B,C)))))))) # label(t18_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11348 (all A all B all C (m1_subset_1(C,u1_struct_0(B)) & l3_lattices(B) & v4_lattice3(B) & v10_lattices(B) & -v3_struct_0(B) -> ((exists D (m1_subset_1(D,u1_struct_0(B)) & D = A & r3_lattices(B,D,C))) <-> r2_hidden(A,a_2_3_lattice3(B,C))))) # label(fraenkel_a_2_3_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11349 (all A (-v3_struct_0(A) & v4_lattice3(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k15_lattice3(A,k1_struct_0(A,B)) & B = k16_lattice3(A,k1_struct_0(A,B)))))) # label(t43_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11350 (all A (-v3_struct_0(A) & l3_lattices(A) -> (v5_lattice3(A) <-> (all 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(A)) -> (r4_lattice3(A,C,B) & r4_lattice3(A,E,a_3_0_lattice3(A,B,D)) & (all F (m1_subset_1(F,u1_struct_0(A)) -> (r4_lattice3(A,F,a_3_0_lattice3(A,B,D)) -> r1_lattices(A,E,F)))) & (all F (m1_subset_1(F,u1_struct_0(A)) -> (r4_lattice3(A,F,B) -> r1_lattices(A,C,F)))) -> r1_lattices(A,k2_lattices(A,D,C),E))))))))))) # label(d19_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11351 (all A (v1_lattice3(A) & l1_orders_2(A) & v4_orders_2(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)) -> (v3_orders_2(A) -> k10_lattice3(A,B,k10_lattice3(A,C,D)) = k10_lattice3(A,k10_lattice3(A,B,C),D)))))))))) # label(t14_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11352 (all A all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (r1_lattice3(k3_lattice3(B),A,k4_lattice3(B,C)) <-> r3_lattice3(B,C,A)))))) # label(t28_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11353 (all A all B all C (l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> m1_subset_1(k11_lattice3(A,B,C),u1_struct_0(A)))) # label(dt_k11_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11354 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> v1_orders_2(k3_lattice3(A)) & v3_orders_2(k3_lattice3(A)) & v4_orders_2(k3_lattice3(A)) & v2_orders_2(k3_lattice3(A)) & -v3_struct_0(k3_lattice3(A)))) # label(fc4_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11355 (all A all B all C all D (m1_subset_1(D,u1_struct_0(B)) & l3_lattices(B) & -v3_struct_0(B) -> ((exists E (k1_lattices(B,D,E) = A & r2_hidden(E,C) & m1_subset_1(E,u1_struct_0(B)))) <-> r2_hidden(A,a_3_1_lattice3(B,C,D))))) # label(fraenkel_a_3_1_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11356 (all A (-v3_struct_0(A) & l3_lattices(A) & v4_lattice3(A) & v10_lattices(A) -> (all B (k15_lattice3(A,B) = k15_lattice3(A,a_2_5_lattice3(A,B)) & k16_lattice3(A,a_2_6_lattice3(A,B)) = k16_lattice3(A,B))))) # label(t47_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11357 (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,k3_lattices(A,C,D),B) <-> r4_lattice3(A,B,k2_struct_0(A,C,D))))))))))) # label(t22_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11358 (all A (-v3_struct_0(A) & l3_lattices(A) -> ((all 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(A)) -> ((all F (m1_subset_1(F,u1_struct_0(A)) -> (r3_lattice3(A,F,B) -> r1_lattices(A,F,C)))) & r3_lattice3(A,E,a_3_1_lattice3(A,B,D)) & (all F (m1_subset_1(F,u1_struct_0(A)) -> (r3_lattice3(A,F,a_3_1_lattice3(A,B,D)) -> r1_lattices(A,F,E)))) & r3_lattice3(A,C,B) -> r1_lattices(A,E,k1_lattices(A,D,C))))))))) <-> v6_lattice3(A)))) # label(d20_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11359 (all A all B all C all D (-v3_struct_0(B) & v4_lattice3(B) & l3_lattices(B) & m1_subset_1(D,u1_struct_0(B)) & v10_lattices(B) -> (r2_hidden(A,a_3_5_lattice3(B,C,D)) <-> (exists E (m1_subset_1(E,u1_struct_0(B)) & r2_hidden(E,C) & k3_lattices(B,D,E) = A))))) # label(fraenkel_a_3_5_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11360 (all A (l1_orders_2(A) -> (v1_lattice3(A) -> -v3_struct_0(A)))) # label(cc1_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11361 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> k9_filter_1(A) = k2_lattice3(A))) # label(redefinition_k2_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11362 (exists A (-v3_struct_0(A) & v4_orders_2(A) & v1_lattice3(A) & v3_lattice3(A) & v2_lattice3(A) & v3_orders_2(A) & v2_orders_2(A) & v1_orders_2(A) & l1_orders_2(A))) # label(rc2_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11363 (all A (l1_orders_2(A) -> (v4_orders_2(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)) -> (r1_orders_2(A,C,E) & r1_orders_2(A,B,E) -> r1_orders_2(A,D,E)))) & r1_orders_2(A,C,D) & r1_orders_2(A,B,D))) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r1_orders_2(A,B,D) & (all E (m1_subset_1(E,u1_struct_0(A)) -> (r1_orders_2(A,B,E) & r1_orders_2(A,C,E) -> r1_orders_2(A,D,E)))) & r1_orders_2(A,C,D) <-> D = k10_lattice3(A,B,C)))))))))))) # label(d13_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11364 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v4_lattice3(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C r3_lattices(A,k3_lattices(A,B,k16_lattice3(A,C)),k16_lattice3(A,a_3_4_lattice3(A,B,C)))))))) # label(t35_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11365 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v4_lattice3(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (r2_hidden(B,C) & r3_lattice3(A,B,C) -> B = k16_lattice3(A,C))))))) # label(t42_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11366 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v4_lattice3(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (r4_lattice3(A,B,C) & r2_hidden(B,C) -> k15_lattice3(A,C) = B)))))) # label(t41_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11367 (all A (l1_orders_2(A) -> v1_orders_2(k7_lattice3(A)) & l1_orders_2(k7_lattice3(A)))) # label(dt_k7_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11368 (all A all B (l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(k3_lattice3(B))) -> (r2_lattice3(k3_lattice3(B),A,C) <-> r4_lattice3(B,k5_lattice3(B,C),A)))))) # label(t31_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11369 (all A all B (l3_lattices(B) & v17_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (r4_lattice3(B,k7_lattices(B,C),a_2_0_lattice3(A,B)) <-> r3_lattice3(B,C,A)))))) # label(t24_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11370 (all A all B all C all D (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) & v4_lattice3(B) -> (r2_hidden(A,a_3_2_lattice3(B,C,D)) <-> (exists E (m1_subset_1(E,u1_struct_0(B)) & A = k4_lattices(B,C,E) & r2_hidden(E,D)))))) # label(fraenkel_a_3_2_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11371 (all A v6_lattice3(k1_lattice3(A))) # label(t27_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11372 (all A (l1_orders_2(A) -> (all B all C (m1_subset_1(C,u1_struct_0(A)) -> (r1_lattice3(A,B,C) <-> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,B) -> r1_orders_2(A,C,D))))))))) # label(d8_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11373 (all A (l1_orders_2(A) -> (v2_lattice3(k7_lattice3(A)) <-> v1_lattice3(A)))) # label(t10_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11374 (all A (l1_orders_2(A) -> k7_lattice3(A) = g1_orders_2(u1_struct_0(A),k6_relset_1(u1_struct_0(A),u1_struct_0(A),u1_orders_2(A))))) # label(d5_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11375 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k4_lattice3(A,B))))) # label(d3_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11376 (all A all B (v4_lattice3(B) & v6_lattice3(B) & l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k3_lattices(B,k16_lattice3(B,A),C) = k16_lattice3(B,a_3_10_lattice3(A,B,C)) & k16_lattice3(B,a_3_9_lattice3(A,B,C)) = k3_lattices(B,C,k16_lattice3(B,A)))))) # label(t55_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11377 (all A (l1_orders_2(A) & v2_lattice3(A) & v4_orders_2(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)) -> (v3_orders_2(A) -> k11_lattice3(A,B,k11_lattice3(A,C,D)) = k11_lattice3(A,k11_lattice3(A,B,C),D)))))))))) # label(t16_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11378 (all A (-v3_struct_0(A) & v4_lattice3(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)) -> (v10_lattices(A) & l3_lattices(A) & v3_filter_0(A) & -v3_struct_0(A) -> k4_filter_0(A,B,C) = k15_lattice3(A,a_3_6_lattice3(A,B,C))))))))) # label(t52_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11379 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> k3_lattice3(A) = g1_orders_2(u1_struct_0(A),k2_lattice3(A)))) # label(d2_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11380 (all A all B all C (v1_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v4_orders_2(A) -> m1_subset_1(k13_lattice3(A,B,C),u1_struct_0(A)))) # label(dt_k13_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11381 (all A all B all C (l3_lattices(B) & v4_lattice3(B) & v10_lattices(B) & -v3_struct_0(B) -> ((exists D (A = k15_lattice3(B,D) & r2_hidden(D,C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))))) <-> r2_hidden(A,a_2_7_lattice3(B,C))))) # label(fraenkel_a_2_7_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11382 (all A (-v3_struct_0(k1_lattice3(A)) & v3_lattices(k1_lattice3(A)) & v4_lattices(k1_lattice3(A)) & v8_lattices(k1_lattice3(A)) & v10_lattices(k1_lattice3(A)) & v12_lattices(k1_lattice3(A)) & v16_lattices(k1_lattice3(A)) & v17_lattices(k1_lattice3(A)) & v15_lattices(k1_lattice3(A)) & v14_lattices(k1_lattice3(A)) & v13_lattices(k1_lattice3(A)) & v11_lattices(k1_lattice3(A)) & v9_lattices(k1_lattice3(A)) & v7_lattices(k1_lattice3(A)) & v6_lattices(k1_lattice3(A)) & v5_lattices(k1_lattice3(A)))) # label(fc3_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11383 (all A (l1_orders_2(A) -> -v3_struct_0(k14_lattice3(A)) & v3_lattices(k14_lattice3(A)) & v10_lattices(k14_lattice3(A)) & l3_lattices(k14_lattice3(A)))) # label(dt_k14_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11384 (all A (v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B all C (r1_tarski(B,C) -> r3_lattices(A,k16_lattice3(A,C),k16_lattice3(A,B)) & r3_lattices(A,k15_lattice3(A,B),k15_lattice3(A,C)))))) # label(t46_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11385 (all A all B (v10_lattices(B) & v17_lattices(B) & l3_lattices(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (r3_lattice3(B,k7_lattices(B,C),a_2_0_lattice3(A,B)) <-> r4_lattice3(B,C,A)))))) # label(t23_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11386 (all A all B all C (v17_lattices(C) & l3_lattices(C) & v10_lattices(C) & -v3_struct_0(C) -> ((exists D (m1_subset_1(D,u1_struct_0(C)) & r2_hidden(D,B) & k7_lattices(C,D) = A)) <-> r2_hidden(A,a_2_0_lattice3(B,C))))) # label(fraenkel_a_2_0_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11387 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v4_lattice3(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (r3_lattice3(A,B,C) & (all D (m1_subset_1(D,u1_struct_0(A)) -> (r3_lattice3(A,D,C) -> r3_lattices(A,D,B)))) <-> B = k16_lattice3(A,C))))))) # label(t34_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11388 (all A (v2_lattice3(A) & l1_orders_2(A) & v4_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k11_lattice3(A,C,B) = k11_lattice3(A,B,C))))))) # label(t15_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11389 (all A (l1_orders_2(A) -> (v3_lattice3(A) <-> (all B exists C (m1_subset_1(C,u1_struct_0(A)) & r2_lattice3(A,B,C) & (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_lattice3(A,B,D) -> r1_orders_2(A,C,D))))))))) # label(d12_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11390 (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)) -> (r3_orders_2(k3_lattice3(A),k4_lattice3(A,B),k4_lattice3(A,C)) <-> r3_lattices(A,B,C)))))))) # label(t7_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11391 (all A all B (m1_subset_1(B,u1_struct_0(A)) & l1_orders_2(A) -> m1_subset_1(k8_lattice3(A,B),u1_struct_0(k7_lattice3(A))))) # label(dt_k8_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11392 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> v1_relat_2(k2_lattice3(A)) & v4_relat_2(k2_lattice3(A)) & m2_relset_1(k2_lattice3(A),u1_struct_0(A),u1_struct_0(A)) & v1_partfun1(k2_lattice3(A),u1_struct_0(A),u1_struct_0(A)) & v8_relat_2(k2_lattice3(A)))) # label(dt_k2_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11393 (all A (l1_orders_2(A) -> (v2_lattice3(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)) & r1_orders_2(A,D,C) & (all E (m1_subset_1(E,u1_struct_0(A)) -> (r1_orders_2(A,E,C) & r1_orders_2(A,E,B) -> r1_orders_2(A,E,D)))) & r1_orders_2(A,D,B)))))))))) # label(d11_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11394 (all A (l3_lattices(A) & v4_lattice3(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (r3_lattice3(A,B,C) -> r3_lattices(A,B,k16_lattice3(A,C)))))))) # label(t40_lattice3) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11395 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_group_1(B) & v3_group_1(B) & v1_gr_cy_1(B) & l1_group_1(B) & v4_group_1(B) & -v3_struct_0(B) -> -(v6_group_1(B) & k9_group_1(B) = A & (exists C (m2_subset_1(C,k1_numbers,k5_numbers) & A = k2_nat_1(np__2,C))) & (all C (m1_group_2(C,B) -> -(np__2 = k9_group_1(C) & -v3_struct_0(C) & v4_group_1(C) & v1_gr_cy_1(C) & l1_group_1(C) & v3_group_1(C))))))))) # label(t31_gr_cy_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11396 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & v1_group_1(B) -> (all C (v3_group_1(C) & l1_group_1(C) & v4_group_1(C) & v1_group_1(C) & -v3_struct_0(C) -> (v6_group_1(B) & k9_group_1(B) = A & A = k9_group_1(C) & v1_int_2(A) & v6_group_1(C) -> r2_group_6(B,C)))))))) # label(t24_gr_cy_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11397 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (-v3_struct_0(B) & v1_group_1(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) -> (all C (m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) & v1_group_6(C,B,A) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v1_funct_1(C) -> (v4_group_1(B) & l1_group_1(B) & v1_gr_cy_1(B) & v3_group_1(B) & -v3_struct_0(B) -> -v3_struct_0(k13_group_6(B,A,C)) & v3_group_1(k13_group_6(B,A,C)) & v4_group_1(k13_group_6(B,A,C)) & l1_group_1(k13_group_6(B,A,C)) & v1_gr_cy_1(k13_group_6(B,A,C))))))))) # label(t32_gr_cy_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11398 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_gr_cy_1(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & v1_group_1(B) & -v3_struct_0(B) -> -((all C (m1_subset_1(C,u1_struct_0(B)) -> -(k7_group_1(B,C) = np__2 & (all D (m1_subset_1(D,u1_struct_0(B)) -> (k7_group_1(B,D) = np__2 -> D = C)))))) & (exists C (m2_subset_1(C,k1_numbers,k5_numbers) & A = k2_nat_1(np__2,C))) & k9_group_1(B) = A & v6_group_1(B)))))) # label(t30_gr_cy_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11399 (all A (v1_group_1(A) & l1_group_1(A) & v1_gr_cy_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (-v6_group_1(A) -> r2_group_6(k3_gr_cy_1,A)))) # label(t22_gr_cy_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11400 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (v1_group_1(C) & v3_group_1(C) & v4_group_1(C) & l1_group_1(C) & -v3_struct_0(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (v6_group_1(C) & k5_group_4(C,k1_struct_0(C,D)) = C & k9_group_1(C) = A -> (k5_group_4(C,k1_struct_0(C,k6_group_1(C,B,D))) = C <-> np__1 = k6_nat_1(B,A))))))))))) # label(t18_gr_cy_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11401 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r1_nat_1(C,D) -> r1_rlvect_1(k5_group_4(A,k1_struct_0(A,k6_group_1(A,C,B))),k6_group_1(A,D,B))))))))))) # label(t15_gr_cy_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.94	11402 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (all F (m2_subset_1(F,k1_numbers,k5_numbers) -> (v6_group_1(A) & D = k9_group_1(A) & B = k5_group_4(A,k1_struct_0(A,k6_group_1(A,F,C))) & E = k9_group_1(B) & k5_group_4(A,k1_struct_0(A,C)) = A -> r1_nat_1(D,k2_nat_1(F,E))))))))))))))) # label(t17_gr_cy_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11403 $T # label(t5_gr_cy_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11404 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & v1_group_1(B) & -v3_struct_0(B) -> (r2_group_6(A,B) -> -(v4_group_1(B) & l1_group_1(B) & v1_gr_cy_1(B) & v3_group_1(B) & -v3_struct_0(B)) & -(-v3_struct_0(A) & v3_group_1(A) & v1_gr_cy_1(A) & l1_group_1(A) & v4_group_1(A)) | -v3_struct_0(A) & v3_group_1(A) & v1_gr_cy_1(A) & v4_group_1(B) & v1_gr_cy_1(B) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) & l1_group_1(A) & v4_group_1(A)))))) # label(t33_gr_cy_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11405 (all A (v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(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 (C = k6_group_1(A,D,B) & v1_int_1(D))))) <-> A = k5_group_4(A,k1_struct_0(A,B))))))) # label(t11_gr_cy_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11406 $T # label(t1_gr_cy_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11407 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> v1_group_1(k10_group_5(A)) & v2_group_1(k10_group_5(A)) & v1_group_3(k10_group_5(A),A) & v4_group_1(k10_group_5(A)) & v3_group_1(k10_group_5(A)) & -v3_struct_0(k10_group_5(A)))) # label(fc1_gr_cy_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11408 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & v1_group_1(A) -> (k9_group_1(A) = np__2 & v6_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> r1_group_2(A,B,k5_group_2(A)) | B = A))))) # label(t26_gr_cy_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11409 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v1_gr_cy_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r1_rlvect_1(B,C) & k5_group_4(A,k1_struct_0(A,C)) = A -> g1_group_1(u1_struct_0(B),u1_group_1(B)) = g1_group_1(u1_struct_0(A),u1_group_1(A))))))))) # label(t19_gr_cy_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11410 $T # label(t2_gr_cy_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11411 (all A all B (m1_subset_1(A,k5_numbers) & m1_subset_1(B,u1_struct_0(k5_gr_cy_1(A))) -> m2_subset_1(k1_gr_cy_2(A,B),k1_numbers,k5_numbers))) # label(dt_k1_gr_cy_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11412 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> -(-r1_xreal_0(k7_group_1(A,B),np__1) & B = k6_group_1(A,D,C) & np__0 = D))))))))) # label(t6_gr_cy_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11413 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (k5_group_4(A,k1_struct_0(A,B)) = A & v6_group_1(A) -> (all C (v1_group_1(C) & m1_group_2(C,A) -> (exists D (m2_subset_1(D,k1_numbers,k5_numbers) & r1_group_2(A,C,k5_group_4(A,k1_struct_0(A,k6_group_1(A,D,B))))))))))))) # label(t13_gr_cy_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11414 (all A (v1_group_1(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (k9_group_1(A) = np__2 & v6_group_1(A) -> v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v1_gr_cy_1(A) & -v3_struct_0(A)))) # label(t27_gr_cy_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11415 $T # label(t3_gr_cy_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11416 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (v6_group_1(A) & k9_group_1(k5_group_4(A,k1_struct_0(A,k6_group_1(A,C,B)))) = k9_group_1(k5_group_4(A,k1_struct_0(A,k6_group_1(A,D,B)))) & r1_rlvect_1(k5_group_4(A,k1_struct_0(A,k6_group_1(A,C,B))),k6_group_1(A,D,B)) -> r1_group_2(A,k5_group_4(A,k1_struct_0(A,k6_group_1(A,C,B))),k5_group_4(A,k1_struct_0(A,k6_group_1(A,D,B))))))))))))) # label(t16_gr_cy_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11417 (all A (v4_group_1(A) & v1_gr_cy_1(A) & l1_group_1(A) & v3_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v1_gr_cy_1(B) & v4_group_1(B) & v1_group_1(B) -> (v6_group_1(A) & k9_group_1(B) = k9_group_1(A) & v6_group_1(B) -> r2_group_6(B,A)))))) # label(t23_gr_cy_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11418 (all A (-v3_struct_0(A) & v1_group_1(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & v1_group_1(B) & -v3_struct_0(B) -> (v6_group_1(A) & np__2 = k9_group_1(B) & k9_group_1(A) = np__2 & v6_group_1(B) -> r2_group_6(A,B)))))) # label(t25_gr_cy_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11419 (all A (v3_group_1(A) & l1_group_1(A) & v1_gr_cy_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (A = k5_group_4(A,k1_struct_0(A,B)) -> (all C (-v3_struct_0(C) & l1_group_1(C) & v4_group_1(C) & v3_group_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,u1_struct_0(C),u1_struct_0(A)) & v1_group_6(D,C,A) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(A)) -> (r1_rlvect_1(k13_group_6(C,A,D),B) -> v3_group_6(D,C,A))))))))))) # label(t29_gr_cy_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11420 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (-r1_xreal_0(A,np__0) -> (all B (m1_subset_1(B,u1_struct_0(k5_gr_cy_1(A))) -> k1_gr_cy_2(A,B) = B))))) # label(d1_gr_cy_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11421 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & v1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v6_group_1(A) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (exists D (m2_subset_1(D,k1_numbers,k5_numbers) & k6_group_1(A,D,B) = C)))) <-> A = k5_group_4(A,k1_struct_0(A,B)))))))) # label(t12_gr_cy_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11422 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_group_1(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & v1_gr_cy_1(B) & -v3_struct_0(B) -> (v6_group_1(B) & k9_group_1(B) = A -> r2_group_6(k5_gr_cy_1(A),B)))))) # label(t21_gr_cy_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11423 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (k9_group_1(A) = C & C = k2_nat_1(D,E) & k5_group_4(A,k1_struct_0(A,B)) = A & v6_group_1(A) -> E = k7_group_1(A,k6_group_1(A,D,B))))))))))))) # label(t14_gr_cy_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11424 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> v3_group_1(k5_group_4(A,k1_struct_0(A,B))) & v4_group_1(k5_group_4(A,k1_struct_0(A,B))) & l1_group_1(k5_group_4(A,k1_struct_0(A,B))) & v1_gr_cy_1(k5_group_4(A,k1_struct_0(A,B))) & -v3_struct_0(k5_group_4(A,k1_struct_0(A,B))))))) # label(t10_gr_cy_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11425 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (C = D -> k5_group_4(B,k1_struct_0(B,D)) = k5_group_4(A,k1_struct_0(A,C))))))))))) # label(t9_gr_cy_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11426 $T # label(t4_gr_cy_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11427 (all A (v4_group_1(A) & v1_gr_cy_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (k5_group_4(A,k1_struct_0(A,B)) = A -> (v6_group_1(A) <-> (exists C ((exists D (k6_group_1(A,C,B) = k6_group_1(A,D,B) & C != D & v1_int_1(D))) & v1_int_1(C))))))))) # label(t20_gr_cy_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11428 $T # label(t7_gr_cy_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11429 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r1_rlvect_1(k5_group_4(A,k1_struct_0(A,B)),B))))) # label(t8_gr_cy_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11430 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v3_struct_0(B) & v1_group_1(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) -> (v6_group_1(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & k9_group_1(B) = A & v1_gr_cy_1(B) & -v3_struct_0(B) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> -((all D (m1_group_2(D,B) & v1_group_1(D) -> -((all E (v1_group_1(E) & m1_group_2(E,B) -> (C = k9_group_1(E) -> r1_group_2(B,E,D)))) & k9_group_1(D) = C))) & r1_nat_1(C,A))))))))) # label(t28_gr_cy_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11431 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,A) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> r2_hidden(k8_funct_2(A,B,D,C),k2_relat_1(D)))))))))) # label(t4_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11432 (all A all B (v2_cat_1(A) & l1_cat_1(A) & l1_cat_1(B) & v2_cat_1(B) -> m2_cat_1(k8_isocat_2(A,B),k11_cat_2(A,B),A))) # label(dt_k8_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11433 (all A all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,k1_tarski(A),B) & v1_funct_2(C,k1_tarski(A),B) -> (all D (m2_relset_1(D,k1_tarski(A),B) & v1_funct_2(D,k1_tarski(A),B) & v1_funct_1(D) -> (k1_funct_1(C,A) = k1_funct_1(D,A) -> r4_nattra_1(k1_tarski(A),B,k1_tarski(A),B,C,D)))))))) # label(t3_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11434 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,k12_nattra_1(B,C)) -> (exists E (r4_nattra_1(u2_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),u2_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),D,k5_isocat_2(A,B,C,E)) & m2_cat_1(E,k11_cat_2(A,B),C))))))))))) # label(t31_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11435 (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,k2_zfmisc_1(B,C)) & v1_funct_2(D,A,k2_zfmisc_1(B,C)) & v1_funct_1(D) -> (all E (m2_relset_1(E,A,k2_zfmisc_1(B,C)) & v1_funct_2(E,A,k2_zfmisc_1(B,C)) & v1_funct_1(E) -> (r4_nattra_1(A,B,A,B,k7_funct_2(A,k2_zfmisc_1(B,C),B,D,k9_funct_3(B,C)),k7_funct_2(A,k2_zfmisc_1(B,C),B,E,k9_funct_3(B,C))) & r4_nattra_1(A,C,A,C,k7_funct_2(A,k2_zfmisc_1(B,C),C,D,k10_funct_3(B,C)),k7_funct_2(A,k2_zfmisc_1(B,C),C,E,k10_funct_3(B,C))) -> r4_nattra_1(A,k2_zfmisc_1(B,C),A,k2_zfmisc_1(B,C),D,E)))))))))))) # label(t5_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11436 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> (all F (m1_subset_1(F,u1_cat_1(B)) -> (all G (m1_subset_1(G,u2_cat_1(A)) -> (all H (m1_subset_1(H,u2_cat_1(B)) -> (r2_hidden(H,k6_cat_1(B,E,F)) & r2_hidden(G,k6_cat_1(A,C,D)) -> r2_hidden(k13_cat_2(A,B,G,H),k6_cat_1(k11_cat_2(A,B),k12_cat_2(A,B,C,E),k12_cat_2(A,B,D,F)))))))))))))))))))) # label(t16_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11437 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,C) -> (all G (m2_cat_1(G,A,C) -> (r1_nattra_1(A,C,F,G) & r1_nattra_1(A,B,D,E) -> r1_nattra_1(A,k11_cat_2(B,C),k10_isocat_2(A,B,C,D,F),k10_isocat_2(A,B,C,E,G))))))))))))))))) # label(t44_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11438 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,B,C) -> (r2_nattra_1(A,B,D,E) -> (all G (m2_nattra_1(G,A,B,D,E) -> k6_isocat_1(A,B,C,D,E,G,F) = k5_relat_1(G,F)))))))))))))))) # label(t35_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11439 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> k1_funct_1(k3_funct_5(D),E) = k3_isocat_2(A,B,C,D,E))))))))))) # label(d2_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11440 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> (all F (m1_subset_1(F,u1_cat_1(B)) -> (k1_xboole_0 != k6_cat_1(k11_cat_2(A,B),k12_cat_2(A,B,C,E),k12_cat_2(A,B,D,F)) <-> k1_xboole_0 != k6_cat_1(A,C,D) & k6_cat_1(B,E,F) != k1_xboole_0))))))))))))) # label(t13_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11441 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,k11_cat_2(B,C)) -> (all E (m2_cat_1(E,A,k11_cat_2(B,C)) -> (all F (m2_cat_1(F,A,k11_cat_2(B,C)) -> (all G (m2_cat_1(G,A,k11_cat_2(B,C)) -> (r2_nattra_1(A,k11_cat_2(B,C),F,G) & r2_nattra_1(A,k11_cat_2(B,C),D,E) -> (all H (m2_nattra_1(H,A,k11_cat_2(B,C),D,E) -> (all I (m2_nattra_1(I,A,k11_cat_2(B,C),F,G) -> (r4_nattra_1(u1_cat_1(A),u2_cat_1(C),u1_cat_1(A),u2_cat_1(C),k14_isocat_2(A,B,C,D,E,H),k14_isocat_2(A,B,C,F,G,I)) & r4_nattra_1(u1_cat_1(A),u2_cat_1(B),u1_cat_1(A),u2_cat_1(B),k13_isocat_2(A,B,C,D,E,H),k13_isocat_2(A,B,C,F,G,I)) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(k11_cat_2(B,C)),u1_cat_1(A),u2_cat_1(k11_cat_2(B,C)),H,I))))))))))))))))))))) # label(t39_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11442 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> (all F (m1_subset_1(F,u1_cat_1(B)) -> (k1_xboole_0 != k6_cat_1(k11_cat_2(A,B),k12_cat_2(A,B,C,E),k12_cat_2(A,B,D,F)) -> (all G (m1_subset_1(G,u2_cat_1(A)) -> (all H (m1_subset_1(H,u2_cat_1(B)) -> (m1_cat_1(G,A,C,D) & m1_cat_1(H,B,E,F) <-> m1_cat_1(k13_cat_2(A,B,G,H),k11_cat_2(A,B),k12_cat_2(A,B,C,E),k12_cat_2(A,B,D,F)))))))))))))))))))) # label(t14_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11443 (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,k1_fraenkel(B,C)) & v1_funct_2(D,A,k1_fraenkel(B,C)) & v1_funct_1(D) -> r4_nattra_1(A,k1_fraenkel(B,C),A,k1_fraenkel(B,C),k2_cat_2(A,B,C,k1_isocat_2(A,B,C,D)),D))))))))) # label(t1_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11444 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m2_cat_1(E,k11_cat_2(A,B),C) -> (r2_nattra_1(k11_cat_2(A,B),C,D,E) -> (all F (m2_nattra_1(F,k11_cat_2(A,B),C,D,E) -> (exists G ((all H (m2_relset_1(H,k2_zfmisc_1(u1_cat_1(A),u1_cat_1(B)),u2_cat_1(C)) & v1_funct_2(H,k2_zfmisc_1(u1_cat_1(A),u1_cat_1(B)),u2_cat_1(C)) & v1_funct_1(H) -> (r4_nattra_1(u1_cat_1(k11_cat_2(A,B)),u2_cat_1(C),k2_zfmisc_1(u1_cat_1(A),u1_cat_1(B)),u2_cat_1(C),F,H) -> (all I (m1_subset_1(I,u1_cat_1(A)) -> k5_nattra_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E),G,I) = k4_tarski(k12_cat_2(k12_nattra_1(B,C),k12_nattra_1(B,C),k13_cat_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),I),k13_cat_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,E),I)),k1_cat_2(u1_cat_1(A),u1_cat_1(B),u2_cat_1(C),k1_fraenkel(u1_cat_1(B),u2_cat_1(C)),k2_cat_2(u1_cat_1(A),u1_cat_1(B),u2_cat_1(C),H),I))))))) & m2_nattra_1(G,A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E)))) & r2_nattra_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E))))))))))))))) # label(t27_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11445 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> v8_cat_1(k17_isocat_2(A,B,C),k12_nattra_1(A,k11_cat_2(B,C)),k11_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,C))))))))) # label(t48_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11446 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m2_cat_1(D,k12_nattra_1(A,B),B) -> ((all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,B) -> (all G (m2_nattra_1(G,A,B,E,F) -> (r2_nattra_1(A,B,E,F) -> k1_funct_1(D,k4_tarski(k4_tarski(E,F),G)) = k5_nattra_1(A,B,E,F,G,C)))))))) <-> k2_isocat_2(A,B,C) = D))))))))) # label(d1_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11447 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B all C r1_isocat_1(k12_nattra_1(k8_cat_1(B,C),A),A)))) # label(t11_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11448 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m2_cat_1(E,k11_cat_2(A,B),C) -> (r2_nattra_1(k11_cat_2(A,B),C,D,E) -> (all F (m2_nattra_1(F,k11_cat_2(A,B),C,D,E) -> (all G (m2_nattra_1(G,A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E)) -> ((all H (m2_relset_1(H,k2_zfmisc_1(u1_cat_1(A),u1_cat_1(B)),u2_cat_1(C)) & v1_funct_2(H,k2_zfmisc_1(u1_cat_1(A),u1_cat_1(B)),u2_cat_1(C)) & v1_funct_1(H) -> (r4_nattra_1(u1_cat_1(k11_cat_2(A,B)),u2_cat_1(C),k2_zfmisc_1(u1_cat_1(A),u1_cat_1(B)),u2_cat_1(C),F,H) -> (all I (m1_subset_1(I,u1_cat_1(A)) -> k4_tarski(k12_cat_2(k12_nattra_1(B,C),k12_nattra_1(B,C),k13_cat_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),I),k13_cat_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,E),I)),k1_cat_2(u1_cat_1(A),u1_cat_1(B),u2_cat_1(C),k1_fraenkel(u1_cat_1(B),u2_cat_1(C)),k2_cat_2(u1_cat_1(A),u1_cat_1(B),u2_cat_1(C),H),I)) = k5_nattra_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E),G,I)))))) <-> G = k6_isocat_2(A,B,C,D,E,F))))))))))))))))) # label(d5_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11449 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_subset_1(F,u1_cat_1(B)) -> k13_cat_1(B,C,k14_cat_2(A,B,C,D,E),F) = k13_cat_1(k11_cat_2(A,B),C,D,k12_cat_2(A,B,E,F)))))))))))))) # label(t12_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11450 (all A all B all C all D all E all F (l1_cat_1(A) & l1_cat_1(C) & m2_cat_1(E,A,k11_cat_2(B,C)) & m2_nattra_1(F,A,k11_cat_2(B,C),D,E) & m2_cat_1(D,A,k11_cat_2(B,C)) & v2_cat_1(C) & l1_cat_1(B) & v2_cat_1(B) & v2_cat_1(A) -> m2_nattra_1(k14_isocat_2(A,B,C,D,E,F),A,C,k12_isocat_2(A,B,C,D),k12_isocat_2(A,B,C,E)))) # label(dt_k14_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11451 (all A all B all C all D all E (v2_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & m1_subset_1(E,u2_cat_1(A)) & m2_cat_1(D,k11_cat_2(A,B),C) & l1_cat_1(C) & l1_cat_1(A) -> m2_nattra_1(k4_isocat_2(A,B,C,D,E),B,C,k14_cat_2(A,B,C,D,k2_cat_1(A,E)),k14_cat_2(A,B,C,D,k3_cat_1(A,E))))) # label(dt_k4_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11452 $T # label(t23_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11453 $T # label(t10_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11454 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r1_nattra_1(A,B,C,D) -> (all E (m1_nattra_1(E,A,B,C,D) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> r2_hidden(k5_nattra_1(A,B,C,D,E,F),k6_cat_1(B,k13_cat_1(A,B,C,F),k13_cat_1(A,B,D,F)))))))))))))))) # label(l27_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11455 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,C) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> k12_cat_2(B,C,k13_cat_1(A,B,D,F),k13_cat_1(A,C,E,F)) = k13_cat_1(A,k11_cat_2(B,C),k10_isocat_2(A,B,C,D,E),F))))))))))))) # label(t43_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11456 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> v8_cat_1(k7_isocat_2(A,B,C),k12_nattra_1(k11_cat_2(A,B),C),k12_nattra_1(A,k12_nattra_1(B,C))))))))) # label(t33_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11457 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> r4_nattra_1(u1_cat_1(B),u2_cat_1(C),u1_cat_1(B),u2_cat_1(C),k7_nattra_1(B,C,k14_cat_2(A,B,C,D,E)),k4_isocat_2(A,B,C,D,k10_cat_1(A,E))))))))))))) # label(t20_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11458 (all A all B all C (l1_cat_1(A) & v2_cat_1(B) & m1_subset_1(C,u1_cat_1(A)) & l1_cat_1(B) & v2_cat_1(A) -> m2_cat_1(k2_isocat_2(A,B,C),k12_nattra_1(A,B),B))) # label(dt_k2_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11459 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> k7_funct_2(u1_cat_1(B),u2_cat_1(B),u2_cat_1(C),u6_cat_1(B),k3_isocat_2(A,B,C,D,E)) = k4_isocat_2(A,B,C,D,E))))))))))) # label(d3_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11460 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,C) -> (all G (m2_cat_1(G,A,C) -> (r1_nattra_1(A,C,F,G) & r1_nattra_1(A,B,D,E) -> (all H (m1_nattra_1(H,A,B,D,E) -> (all I (m1_nattra_1(I,A,C,F,G) -> (all J (m1_subset_1(J,u1_cat_1(A)) -> k13_cat_2(B,C,k5_nattra_1(A,B,D,E,H,J),k5_nattra_1(A,C,F,G,I,J)) = k8_funct_2(u1_cat_1(A),k2_zfmisc_1(u2_cat_1(B),u2_cat_1(C)),k14_funct_3(u1_cat_1(A),u2_cat_1(B),u2_cat_1(C),H,I),J)))))))))))))))))))))) # label(l54_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11461 (all A all B all C all D all E all F (v2_cat_1(A) & l1_cat_1(A) & l1_cat_1(B) & l1_cat_1(C) & m2_nattra_1(F,A,k11_cat_2(B,C),D,E) & m2_cat_1(E,A,k11_cat_2(B,C)) & m2_cat_1(D,A,k11_cat_2(B,C)) & v2_cat_1(C) & v2_cat_1(B) -> m2_nattra_1(k13_isocat_2(A,B,C,D,E,F),A,B,k11_isocat_2(A,B,C,D),k11_isocat_2(A,B,C,E)))) # label(dt_k13_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11462 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k12_nattra_1(A,k11_cat_2(B,C)),k11_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,C))) -> (D = k17_isocat_2(A,B,C) <-> (all E (m2_cat_1(E,A,k11_cat_2(B,C)) -> (all F (m2_cat_1(F,A,k11_cat_2(B,C)) -> (r2_nattra_1(A,k11_cat_2(B,C),E,F) -> (all G (m2_nattra_1(G,A,k11_cat_2(B,C),E,F) -> k4_tarski(k4_tarski(k4_tarski(k11_isocat_2(A,B,C,E),k11_isocat_2(A,B,C,F)),k13_isocat_2(A,B,C,E,F,G)),k4_tarski(k4_tarski(k12_isocat_2(A,B,C,E),k12_isocat_2(A,B,C,F)),k14_isocat_2(A,B,C,E,F,G))) = k1_funct_1(D,k4_tarski(k4_tarski(E,F),G)))))))))))))))))) # label(d13_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11463 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,C) -> (all G (m2_cat_1(G,A,C) -> (r2_nattra_1(A,C,F,G) & r2_nattra_1(A,B,D,E) -> (all H (m2_nattra_1(H,A,B,D,E) -> (all I (m2_nattra_1(I,A,C,F,G) -> (all J (m1_subset_1(J,u1_cat_1(A)) -> (all K (m1_subset_1(K,u1_cat_1(A)) -> (k6_cat_1(A,J,K) != k1_xboole_0 -> (all L (m1_cat_1(L,A,J,K) -> k9_cat_1(k11_cat_2(B,C),k13_cat_1(A,k11_cat_2(B,C),k10_isocat_2(A,B,C,D,F),J),k13_cat_1(A,k11_cat_2(B,C),k10_isocat_2(A,B,C,D,F),K),k13_cat_1(A,k11_cat_2(B,C),k10_isocat_2(A,B,C,E,G),K),k3_nattra_1(A,k11_cat_2(B,C),k10_isocat_2(A,B,C,D,F),J,K,L),k5_nattra_1(A,k11_cat_2(B,C),k10_isocat_2(A,B,C,D,F),k10_isocat_2(A,B,C,E,G),k15_isocat_2(A,B,C,D,E,F,G,H,I),K)) = k9_cat_1(k11_cat_2(B,C),k13_cat_1(A,k11_cat_2(B,C),k10_isocat_2(A,B,C,D,F),J),k13_cat_1(A,k11_cat_2(B,C),k10_isocat_2(A,B,C,E,G),J),k13_cat_1(A,k11_cat_2(B,C),k10_isocat_2(A,B,C,E,G),K),k5_nattra_1(A,k11_cat_2(B,C),k10_isocat_2(A,B,C,D,F),k10_isocat_2(A,B,C,E,G),k15_isocat_2(A,B,C,D,E,F,G,H,I),J),k3_nattra_1(A,k11_cat_2(B,C),k10_isocat_2(A,B,C,E,G),J,K,L)))))))))))))))))))))))))))) # label(l61_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11464 (all A all B all C (l1_cat_1(C) & v2_cat_1(C) & l1_cat_1(B) & v2_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> m2_cat_1(k17_isocat_2(A,B,C),k12_nattra_1(A,k11_cat_2(B,C)),k11_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,C))))) # label(dt_k17_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11465 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k12_nattra_1(k11_cat_2(A,B),C),k12_nattra_1(A,k12_nattra_1(B,C))) -> (k7_isocat_2(A,B,C) = D <-> (all E (m2_cat_1(E,k11_cat_2(A,B),C) -> (all F (m2_cat_1(F,k11_cat_2(A,B),C) -> (r2_nattra_1(k11_cat_2(A,B),C,E,F) -> (all G (m2_nattra_1(G,k11_cat_2(A,B),C,E,F) -> k4_tarski(k4_tarski(k5_isocat_2(A,B,C,E),k5_isocat_2(A,B,C,F)),k6_isocat_2(A,B,C,E,F,G)) = k1_funct_1(D,k4_tarski(k4_tarski(E,F),G)))))))))))))))))) # label(d6_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11466 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> k4_cat_1(A,B,k10_cat_1(A,k3_cat_1(A,B))) = B)))) # label(t6_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11467 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> m2_cat_1(k13_cat_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),E),B,C))))))))))) # label(t25_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11468 (all A all B all C all D (v1_funct_1(D) & v1_funct_2(D,A,k1_fraenkel(B,C)) & m1_relset_1(D,A,k1_fraenkel(B,C)) & -v1_xboole_0(C) & -v1_xboole_0(B) & -v1_xboole_0(A) -> m2_relset_1(k1_isocat_2(A,B,C,D),k2_zfmisc_1(A,B),C) & v1_funct_2(k1_isocat_2(A,B,C,D),k2_zfmisc_1(A,B),C) & v1_funct_1(k1_isocat_2(A,B,C,D)))) # label(dt_k1_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11469 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> (all F (m1_subset_1(F,u2_cat_1(A)) -> (k2_cat_1(A,E) = k3_cat_1(A,F) -> (all G (m2_nattra_1(G,B,C,k14_cat_2(A,B,C,D,k2_cat_1(A,F)),k14_cat_2(A,B,C,D,k2_cat_1(A,E))) -> (r4_nattra_1(u1_cat_1(B),u2_cat_1(C),u1_cat_1(B),u2_cat_1(C),G,k4_isocat_2(A,B,C,D,F)) -> r4_nattra_1(u1_cat_1(B),u2_cat_1(C),u1_cat_1(B),u2_cat_1(C),k4_isocat_2(A,B,C,D,k4_cat_1(A,F,E)),k8_nattra_1(B,C,k14_cat_2(A,B,C,D,k2_cat_1(A,F)),k14_cat_2(A,B,C,D,k2_cat_1(A,E)),k14_cat_2(A,B,C,D,k3_cat_1(A,E)),G,k4_isocat_2(A,B,C,D,E))))))))))))))))))) # label(t21_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11470 (all A all B all C all D all E all F all G all H all I (v2_cat_1(A) & l1_cat_1(A) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(F,A,C) & m2_nattra_1(H,A,B,D,E) & m2_nattra_1(I,A,C,F,G) & m2_cat_1(G,A,C) & m2_cat_1(E,A,B) & m2_cat_1(D,A,B) & v2_cat_1(B) -> m2_nattra_1(k16_isocat_2(A,B,C,D,E,F,G,H,I),A,k11_cat_2(B,C),k10_isocat_2(A,B,C,D,F),k10_isocat_2(A,B,C,E,G)))) # label(dt_k16_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11471 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m2_cat_1(E,k11_cat_2(A,B),C) -> (r4_nattra_1(u2_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),u2_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E)) -> r4_nattra_1(u2_cat_1(k11_cat_2(A,B)),u2_cat_1(C),u2_cat_1(k11_cat_2(A,B)),u2_cat_1(C),D,E)))))))))))) # label(t26_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11472 (all A all B all C all D all E (v2_cat_1(A) & l1_cat_1(A) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m1_subset_1(E,u2_cat_1(A)) & m2_cat_1(D,k11_cat_2(A,B),C) & v2_cat_1(B) -> v1_funct_1(k3_isocat_2(A,B,C,D,E)) & m2_relset_1(k3_isocat_2(A,B,C,D,E),u2_cat_1(B),u2_cat_1(C)) & v1_funct_2(k3_isocat_2(A,B,C,D,E),u2_cat_1(B),u2_cat_1(C)))) # label(dt_k3_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11473 (all A all B (v2_cat_1(B) & l1_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> m2_cat_1(k9_isocat_2(A,B),k11_cat_2(A,B),B))) # label(dt_k9_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11474 (all A all B all C all D (-v1_xboole_0(B) & v1_funct_2(D,A,k1_fraenkel(B,C)) & m1_relset_1(D,A,k1_fraenkel(B,C)) & v1_funct_1(D) & -v1_xboole_0(C) & -v1_xboole_0(A) -> k4_funct_5(D) = k1_isocat_2(A,B,C,D))) # label(redefinition_k1_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11475 (all A all B all C all D all E all F (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & m2_cat_1(D,k11_cat_2(A,B),C) & m2_cat_1(E,k11_cat_2(A,B),C) & m2_nattra_1(F,k11_cat_2(A,B),C,D,E) & l1_cat_1(C) & v2_cat_1(C) & l1_cat_1(B) -> m2_nattra_1(k6_isocat_2(A,B,C,D,E,F),A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E)))) # label(dt_k6_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11476 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,k11_cat_2(B,C)) -> (all E (m2_cat_1(E,A,k11_cat_2(B,C)) -> (r2_nattra_1(A,k11_cat_2(B,C),D,E) -> r2_nattra_1(A,B,k11_isocat_2(A,B,C,D),k11_isocat_2(A,B,C,E)) & r2_nattra_1(A,C,k12_isocat_2(A,B,C,D),k12_isocat_2(A,B,C,E))))))))))))) # label(t38_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11477 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> (all F (m1_subset_1(F,u1_cat_1(B)) -> k5_nattra_1(B,C,k14_cat_2(A,B,C,D,k2_cat_1(A,E)),k14_cat_2(A,B,C,D,k3_cat_1(A,E)),k4_isocat_2(A,B,C,D,E),F) = k8_funct_2(u2_cat_1(k11_cat_2(A,B)),u2_cat_1(C),D,k13_cat_2(A,B,E,k10_cat_1(B,F))))))))))))))) # label(t19_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11478 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,C) -> (all G (m2_cat_1(G,A,C) -> (r1_nattra_1(A,C,F,G) & r1_nattra_1(A,B,D,E) -> (all H (m1_nattra_1(H,A,B,D,E) -> (all I (m1_nattra_1(I,A,C,F,G) -> (all J (m1_subset_1(J,u1_cat_1(A)) -> r2_hidden(k8_funct_2(u1_cat_1(A),k2_zfmisc_1(u2_cat_1(B),u2_cat_1(C)),k14_funct_3(u1_cat_1(A),u2_cat_1(B),u2_cat_1(C),H,I),J),k6_cat_1(k11_cat_2(B,C),k13_cat_1(A,k11_cat_2(B,C),k10_isocat_2(A,B,C,D,F),J),k13_cat_1(A,k11_cat_2(B,C),k10_isocat_2(A,B,C,E,G),J)))))))))))))))))))))))) # label(l57_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11479 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m2_cat_1(E,k11_cat_2(A,B),C) -> (r2_nattra_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E)) -> (all F (m2_nattra_1(F,A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E)) -> r2_nattra_1(k11_cat_2(A,B),C,D,E) & (exists G (r4_nattra_1(u1_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),u1_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),F,k6_isocat_2(A,B,C,D,E,G)) & m2_nattra_1(G,k11_cat_2(A,B),C,D,E)))))))))))))))) # label(t32_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11480 (all A all B all C all D (l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(C) & m2_cat_1(D,A,k11_cat_2(B,C)) & v2_cat_1(C) & l1_cat_1(B) & v2_cat_1(A) -> m2_cat_1(k11_isocat_2(A,B,C,D),A,B))) # label(dt_k11_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11481 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,k11_cat_2(B,C)) -> (all E (m2_cat_1(E,A,k11_cat_2(B,C)) -> (all F (m2_nattra_1(F,A,k11_cat_2(B,C),D,E) -> k14_isocat_2(A,B,C,D,E,F) = k6_isocat_1(A,k11_cat_2(B,C),C,D,E,F,k9_isocat_2(B,C)))))))))))))) # label(d10_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11482 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,k11_cat_2(B,C)) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(B),u1_cat_1(A),u2_cat_1(B),k7_nattra_1(A,B,k11_isocat_2(A,B,C,D)),k13_isocat_2(A,B,C,D,D,k7_nattra_1(A,k11_cat_2(B,C),D))) & r4_nattra_1(u1_cat_1(A),u2_cat_1(C),u1_cat_1(A),u2_cat_1(C),k7_nattra_1(A,C,k12_isocat_2(A,B,C,D)),k14_isocat_2(A,B,C,D,D,k7_nattra_1(A,k11_cat_2(B,C),D))))))))))) # label(t40_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11483 (all A all B (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) -> k8_isocat_2(A,B) = k16_cat_2(A,B))) # label(redefinition_k8_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11484 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> k13_cat_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),E) = k14_cat_2(A,B,C,D,E))))))))))) # label(t24_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11485 (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,A,k1_fraenkel(B,C)) & v1_funct_2(D,A,k1_fraenkel(B,C)) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,B) -> k1_funct_1(k1_isocat_2(A,B,C,D),k4_tarski(E,F)) = k8_funct_2(B,C,k1_cat_2(A,B,C,k1_fraenkel(B,C),D,E),F))))))))))))) # label(t2_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11486 (all A all B (u2_cat_1(k8_cat_1(A,B)) = k1_tarski(B) & u1_cat_1(k8_cat_1(A,B)) = k1_tarski(A))) # label(l11_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11487 (all A all B all C all D (v2_cat_1(A) & l1_cat_1(B) & l1_cat_1(C) & m2_cat_1(D,A,k11_cat_2(B,C)) & v2_cat_1(C) & v2_cat_1(B) & l1_cat_1(A) -> m2_cat_1(k12_isocat_2(A,B,C,D),A,C))) # label(dt_k12_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11488 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,k11_cat_2(B,C)) -> k2_isocat_1(A,k11_cat_2(B,C),C,D,k9_isocat_2(B,C)) = k12_isocat_2(A,B,C,D))))))))) # label(d8_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11489 (all A all B all C (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(C) & l1_cat_1(C) & l1_cat_1(B) & v2_cat_1(B) -> m2_cat_1(k7_isocat_2(A,B,C),k12_nattra_1(k11_cat_2(A,B),C),k12_nattra_1(A,k12_nattra_1(B,C))))) # label(dt_k7_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11490 (all A all B all C all D all E (l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & m2_cat_1(D,A,B) & m2_cat_1(E,A,C) & l1_cat_1(C) & v2_cat_1(A) -> k10_isocat_2(A,B,C,D,E) = k13_funct_3(D,E))) # label(redefinition_k10_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11491 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,C) -> (all G (m2_cat_1(G,A,C) -> (r1_nattra_1(A,C,F,G) & r1_nattra_1(A,B,D,E) -> (all H (m1_nattra_1(H,A,B,D,E) -> (all I (m1_nattra_1(I,A,C,F,G) -> (all J (m1_subset_1(J,u1_cat_1(A)) -> k5_nattra_1(A,k11_cat_2(B,C),k10_isocat_2(A,B,C,D,F),k10_isocat_2(A,B,C,E,G),k15_isocat_2(A,B,C,D,E,F,G,H,I),J) = k13_cat_2(B,C,k5_nattra_1(A,B,D,E,H,J),k5_nattra_1(A,C,F,G,I,J))))))))))))))))))))))) # label(t45_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11492 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,C) -> r4_nattra_1(u2_cat_1(A),u2_cat_1(B),u2_cat_1(A),u2_cat_1(B),k11_isocat_2(A,B,C,k10_isocat_2(A,B,C,D,E)),D) & r4_nattra_1(u2_cat_1(A),u2_cat_1(C),u2_cat_1(A),u2_cat_1(C),k12_isocat_2(A,B,C,k10_isocat_2(A,B,C,D,E)),E))))))))))) # label(t36_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11493 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m2_cat_1(E,k11_cat_2(A,B),C) -> (all F (m2_cat_1(F,k11_cat_2(A,B),C) -> (r2_nattra_1(k11_cat_2(A,B),C,D,E) & r2_nattra_1(k11_cat_2(A,B),C,E,F) -> (all G (m2_nattra_1(G,k11_cat_2(A,B),C,D,E) -> (all H (m2_nattra_1(H,k11_cat_2(A,B),C,E,F) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),u1_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),k6_isocat_2(A,B,C,D,F,k8_nattra_1(k11_cat_2(A,B),C,D,E,F,G,H)),k8_nattra_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E),k5_isocat_2(A,B,C,F),k6_isocat_2(A,B,C,D,E,G),k6_isocat_2(A,B,C,E,F,H)))))))))))))))))))) # label(t29_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11494 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m2_cat_1(E,k11_cat_2(A,B),C) -> (r2_nattra_1(k11_cat_2(A,B),C,D,E) -> (all F (m2_nattra_1(F,k11_cat_2(A,B),C,D,E) -> (all G (m2_nattra_1(G,k11_cat_2(A,B),C,D,E) -> (r4_nattra_1(u1_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),u1_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),k6_isocat_2(A,B,C,D,E,F),k6_isocat_2(A,B,C,D,E,G)) -> r4_nattra_1(u1_cat_1(k11_cat_2(A,B)),u2_cat_1(C),u1_cat_1(k11_cat_2(A,B)),u2_cat_1(C),F,G))))))))))))))))) # label(t30_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11495 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,C) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> (all G (m1_subset_1(G,u1_cat_1(A)) -> (k6_cat_1(A,F,G) != k1_xboole_0 -> (all H (m1_cat_1(H,A,F,G) -> k3_nattra_1(A,k11_cat_2(B,C),k10_isocat_2(A,B,C,D,E),F,G,H) = k13_cat_2(B,C,k3_nattra_1(A,B,D,F,G,H),k3_nattra_1(A,C,E,F,G,H))))))))))))))))))) # label(t42_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11496 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> r1_isocat_1(k12_nattra_1(k11_cat_2(A,B),C),k12_nattra_1(A,k12_nattra_1(B,C))))))))) # label(t34_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11497 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m2_cat_1(E,A,k12_nattra_1(B,C)) -> ((all F (m1_subset_1(F,u2_cat_1(A)) -> k8_funct_2(u2_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),E,F) = k4_tarski(k4_tarski(k14_cat_2(A,B,C,D,k2_cat_1(A,F)),k14_cat_2(A,B,C,D,k3_cat_1(A,F))),k4_isocat_2(A,B,C,D,F)))) <-> E = k5_isocat_2(A,B,C,D)))))))))))) # label(d4_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11498 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,C) -> (all G (m2_cat_1(G,A,C) -> (r2_nattra_1(A,B,D,E) & r2_nattra_1(A,C,F,G) -> (all H (m2_nattra_1(H,A,B,D,E) -> (all I (m2_nattra_1(I,A,C,F,G) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(C),u1_cat_1(A),u2_cat_1(C),k14_isocat_2(A,B,C,k10_isocat_2(A,B,C,D,F),k10_isocat_2(A,B,C,E,G),k16_isocat_2(A,B,C,D,E,F,G,H,I)),I) & r4_nattra_1(u1_cat_1(A),u2_cat_1(B),u1_cat_1(A),u2_cat_1(B),k13_isocat_2(A,B,C,k10_isocat_2(A,B,C,D,F),k10_isocat_2(A,B,C,E,G),k16_isocat_2(A,B,C,D,E,F,G,H,I)),H)))))))))))))))))))) # label(t47_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11499 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,C) -> (all G (m2_cat_1(G,A,C) -> (r2_nattra_1(A,B,D,E) & r2_nattra_1(A,C,F,G) -> r2_nattra_1(A,k11_cat_2(B,C),k10_isocat_2(A,B,C,D,F),k10_isocat_2(A,B,C,E,G))))))))))))))))) # label(t46_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11500 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) <-> m1_subset_1(C,u1_cat_1(k12_nattra_1(A,B))))))))) # label(t8_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11501 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,k11_cat_2(B,C)) -> (all E (m2_cat_1(E,A,k11_cat_2(B,C)) -> (all F (m2_nattra_1(F,A,k11_cat_2(B,C),D,E) -> k13_isocat_2(A,B,C,D,E,F) = k6_isocat_1(A,k11_cat_2(B,C),B,D,E,F,k8_isocat_2(B,C)))))))))))))) # label(d9_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11502 (all A all B all C all D all E (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(E,A,C) & m2_cat_1(D,A,B) & l1_cat_1(B) & v2_cat_1(B) -> m2_cat_1(k10_isocat_2(A,B,C,D,E),A,k11_cat_2(B,C)))) # label(dt_k10_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11503 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> (k6_cat_1(A,E,F) != k1_xboole_0 -> (all G (m1_cat_1(G,A,E,F) -> r2_nattra_1(B,C,k14_cat_2(A,B,C,D,E),k14_cat_2(A,B,C,D,F)) & m2_nattra_1(k7_funct_2(u1_cat_1(B),u2_cat_1(B),u2_cat_1(C),u6_cat_1(B),k3_isocat_2(A,B,C,D,G)),B,C,k14_cat_2(A,B,C,D,E),k14_cat_2(A,B,C,D,F))))))))))))))))) # label(t17_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11504 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,C) -> (all G (m2_cat_1(G,A,C) -> (r2_nattra_1(A,C,F,G) & r2_nattra_1(A,B,D,E) -> (all H (m2_nattra_1(H,A,B,D,E) -> (all I (m2_nattra_1(I,A,C,F,G) -> k15_isocat_2(A,B,C,D,E,F,G,H,I) = k16_isocat_2(A,B,C,D,E,F,G,H,I)))))))))))))))))))) # label(d12_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11505 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,k11_cat_2(B,C)) -> (all E (m2_cat_1(E,A,k11_cat_2(B,C)) -> (r4_nattra_1(u2_cat_1(A),u2_cat_1(C),u2_cat_1(A),u2_cat_1(C),k12_isocat_2(A,B,C,D),k12_isocat_2(A,B,C,E)) & r4_nattra_1(u2_cat_1(A),u2_cat_1(B),u2_cat_1(A),u2_cat_1(B),k11_isocat_2(A,B,C,D),k11_isocat_2(A,B,C,E)) -> r4_nattra_1(u2_cat_1(A),u2_cat_1(k11_cat_2(B,C)),u2_cat_1(A),u2_cat_1(k11_cat_2(B,C)),D,E)))))))))))) # label(t37_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11506 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> k4_cat_1(A,k10_cat_1(A,k2_cat_1(A,B)),B) = B)))) # label(t7_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11507 (all A all B (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) -> k9_isocat_2(A,B) = k17_cat_2(A,B))) # label(redefinition_k9_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11508 (all A all B all C all D (v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(D,k11_cat_2(A,B),C) & l1_cat_1(C) & v2_cat_1(C) & l1_cat_1(A) & v2_cat_1(A) -> m2_cat_1(k5_isocat_2(A,B,C,D),A,k12_nattra_1(B,C)))) # label(dt_k5_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.41/118.95	11509 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,k11_cat_2(B,C)) -> (all E (m2_cat_1(E,A,k11_cat_2(B,C)) -> (all F (m2_cat_1(F,A,k11_cat_2(B,C)) -> (r2_nattra_1(A,k11_cat_2(B,C),D,E) & r2_nattra_1(A,k11_cat_2(B,C),E,F) -> (all G (m2_nattra_1(G,A,k11_cat_2(B,C),D,E) -> (all H (m2_nattra_1(H,A,k11_cat_2(B,C),E,F) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(B),u1_cat_1(A),u2_cat_1(B),k13_isocat_2(A,B,C,D,F,k8_nattra_1(A,k11_cat_2(B,C),D,E,F,G,H)),k8_nattra_1(A,B,k11_isocat_2(A,B,C,D),k11_isocat_2(A,B,C,E),k11_isocat_2(A,B,C,F),k13_isocat_2(A,B,C,D,E,G),k13_isocat_2(A,B,C,E,F,H))) & r4_nattra_1(u1_cat_1(A),u2_cat_1(C),u1_cat_1(A),u2_cat_1(C),k14_isocat_2(A,B,C,D,F,k8_nattra_1(A,k11_cat_2(B,C),D,E,F,G,H)),k8_nattra_1(A,C,k12_isocat_2(A,B,C,D),k12_isocat_2(A,B,C,E),k12_isocat_2(A,B,C,F),k14_isocat_2(A,B,C,D,E,G),k14_isocat_2(A,B,C,E,F,H)))))))))))))))))))) # label(t41_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.50/118.96	11510 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m2_cat_1(E,k11_cat_2(A,B),C) -> (r2_nattra_1(k11_cat_2(A,B),C,D,E) -> (all F (m2_nattra_1(F,k11_cat_2(A,B),C,D,E) -> (all G (m1_subset_1(G,u1_cat_1(A)) -> r2_nattra_1(B,C,k14_cat_2(A,B,C,D,G),k14_cat_2(A,B,C,E,G)) & m2_nattra_1(k1_funct_1(k3_funct_5(F),G),B,C,k14_cat_2(A,B,C,D,G),k14_cat_2(A,B,C,E,G))))))))))))))))) # label(t15_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.50/118.96	11511 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> r2_nattra_1(B,C,k14_cat_2(A,B,C,D,k2_cat_1(A,E)),k14_cat_2(A,B,C,D,k3_cat_1(A,E))))))))))))) # label(t18_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.50/118.96	11512 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,k11_cat_2(B,C)) -> k2_isocat_1(A,k11_cat_2(B,C),B,D,k8_isocat_2(B,C)) = k11_isocat_2(A,B,C,D))))))))) # label(d7_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.50/118.96	11513 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),u1_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),k7_nattra_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D)),k6_isocat_2(A,B,C,D,D,k7_nattra_1(k11_cat_2(A,B),C,D))))))))))) # label(t28_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.50/118.96	11514 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,C) -> (all G (m2_cat_1(G,A,C) -> (r1_nattra_1(A,B,D,E) & r1_nattra_1(A,C,F,G) -> (all H (m1_nattra_1(H,A,B,D,E) -> (all I (m1_nattra_1(I,A,C,F,G) -> k14_funct_3(u1_cat_1(A),u2_cat_1(B),u2_cat_1(C),H,I) = k15_isocat_2(A,B,C,D,E,F,G,H,I)))))))))))))))))))) # label(d11_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.50/118.96	11515 (all A all B all C all D all E all F all G all H all I (l1_cat_1(A) & l1_cat_1(C) & m2_cat_1(F,A,C) & m2_cat_1(G,A,C) & m1_nattra_1(I,A,C,F,G) & m1_nattra_1(H,A,B,D,E) & m2_cat_1(E,A,B) & m2_cat_1(D,A,B) & v2_cat_1(C) & l1_cat_1(B) & v2_cat_1(B) & v2_cat_1(A) -> m1_nattra_1(k15_isocat_2(A,B,C,D,E,F,G,H,I),A,k11_cat_2(B,C),k10_isocat_2(A,B,C,D,F),k10_isocat_2(A,B,C,E,G)))) # label(dt_k15_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.50/118.96	11516 $T # label(t22_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.50/118.96	11517 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_subset_1(C,u2_cat_1(k12_nattra_1(A,B))) -> (exists D (m2_cat_1(D,A,B) & (exists E ((exists F (m2_nattra_1(F,A,B,D,E) & D = k2_cat_1(k12_nattra_1(A,B),C) & k4_tarski(k4_tarski(D,E),F) = C & E = k3_cat_1(k12_nattra_1(A,B),C) & r2_nattra_1(A,B,D,E))) & m2_cat_1(E,A,B))))))))))) # label(t9_isocat_2) # label(axiom) # label(non_clause).  [assumption].
119.50/118.96	11518 -(all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> r1_isocat_1(k12_nattra_1(A,k11_cat_2(B,C)),k11_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,C))))))))) # label(t49_isocat_2) # label(negated_conjecture) # label(non_clause).  [assumption].
119.50/118.96	
119.50/118.96	============================== end of process non-clausal formulas ===
119.50/118.96	
119.50/118.96	============================== PROCESS INITIAL CLAUSES ===============
119.50/118.96	
119.50/118.96	======================Alarm clock 
120.64/120.12	Prover9 interrupted
120.64/120.13	EOF