0.03/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.12	% Command    : tptp2X_and_run_prover9 %d %s
0.12/0.33	% Computer   : n024.cluster.edu
0.12/0.33	% Model      : x86_64 x86_64
0.12/0.33	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory     : 8042.1875MB
0.12/0.33	% OS         : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit   : 180
0.12/0.33	% DateTime   : Thu Aug 29 17:45:36 EDT 2019
0.12/0.33	% CPUTime    : 
11.30/10.98	============================== Prover9 ===============================
11.30/10.98	Prover9 (32) version 2009-11A, November 2009.
11.30/10.98	Process 21703 was started by sandbox on n024.cluster.edu,
11.30/10.98	Thu Aug 29 17:45:45 2019
11.30/10.98	The command was "/export/starexec/sandbox/solver/bin/prover9 -t 180 -f /tmp/Prover9_21547_n024.cluster.edu".
11.30/10.98	============================== end of head ===========================
11.30/10.98	
11.30/10.98	============================== INPUT =================================
11.30/10.98	
11.30/10.98	% Reading from file /tmp/Prover9_21547_n024.cluster.edu
11.30/10.98	
11.30/10.98	set(prolog_style_variables).
11.30/10.98	set(auto2).
11.30/10.98	    % set(auto2) -> set(auto).
11.30/10.98	    % set(auto) -> set(auto_inference).
11.30/10.98	    % set(auto) -> set(auto_setup).
11.30/10.98	    % set(auto_setup) -> set(predicate_elim).
11.30/10.98	    % set(auto_setup) -> assign(eq_defs, unfold).
11.30/10.98	    % set(auto) -> set(auto_limits).
11.30/10.98	    % set(auto_limits) -> assign(max_weight, "100.000").
11.30/10.98	    % set(auto_limits) -> assign(sos_limit, 20000).
11.30/10.98	    % set(auto) -> set(auto_denials).
11.30/10.98	    % set(auto) -> set(auto_process).
11.30/10.98	    % set(auto2) -> assign(new_constants, 1).
11.30/10.98	    % set(auto2) -> assign(fold_denial_max, 3).
11.30/10.98	    % set(auto2) -> assign(max_weight, "200.000").
11.30/10.98	    % set(auto2) -> assign(max_hours, 1).
11.30/10.98	    % assign(max_hours, 1) -> assign(max_seconds, 3600).
11.30/10.98	    % set(auto2) -> assign(max_seconds, 0).
11.30/10.98	    % set(auto2) -> assign(max_minutes, 5).
11.30/10.98	    % assign(max_minutes, 5) -> assign(max_seconds, 300).
11.30/10.98	    % set(auto2) -> set(sort_initial_sos).
11.30/10.98	    % set(auto2) -> assign(sos_limit, -1).
11.30/10.98	    % set(auto2) -> assign(lrs_ticks, 3000).
11.30/10.98	    % set(auto2) -> assign(max_megs, 400).
11.30/10.98	    % set(auto2) -> assign(stats, some).
11.30/10.98	    % set(auto2) -> clear(echo_input).
11.30/10.98	    % set(auto2) -> set(quiet).
11.30/10.98	    % set(auto2) -> clear(print_initial_clauses).
11.30/10.98	    % set(auto2) -> clear(print_given).
11.30/10.98	assign(lrs_ticks,-1).
11.30/10.98	assign(sos_limit,10000).
11.30/10.98	assign(order,kbo).
11.30/10.98	set(lex_order_vars).
11.30/10.98	clear(print_given).
11.30/10.98	
11.30/10.98	% formulas(sos).  % not echoed (10263 formulas)
11.30/10.98	
11.30/10.98	============================== end of input ==========================
11.30/10.98	
11.30/10.98	% From the command line: assign(max_seconds, 180).
11.30/10.98	
11.30/10.98	============================== PROCESS NON-CLAUSAL FORMULAS ==========
11.30/10.98	
11.30/10.98	% Formulas that are not ordinary clauses:
11.30/10.98	1 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	2 $T # label(t8_tarski) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	3 $T # label(dt_k2_tarski) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	4 $T # label(dt_k1_tarski) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	5 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	6 (all A all B k2_tarski(A,B) = k2_tarski(B,A)) # label(commutativity_k2_tarski) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	7 $T # label(dt_k3_tarski) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	8 (all A all B ((all C ((exists D (r2_hidden(D,A) & r2_hidden(C,D))) <-> r2_hidden(C,B))) <-> B = k3_tarski(A))) # label(d4_tarski) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	9 (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].
11.30/10.98	10 (all A all B -((all C -((all D -(r2_hidden(D,B) & r2_hidden(D,C))) & r2_hidden(C,B))) & r2_hidden(A,B))) # label(t7_tarski) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	11 (all A all B all C (k2_tarski(A,B) = C <-> (all D (r2_hidden(D,C) <-> A = D | D = B)))) # label(d2_tarski) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	12 $T # label(t3_tarski) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	13 (all A all 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(D,E),C) & r2_hidden(k4_tarski(F,G),C) -> (D = F <-> E = G))) & (all D -(r2_hidden(D,A) & (all E -(r2_hidden(E,B) & r2_hidden(k4_tarski(D,E),C))))))) <-> r2_tarski(A,B))) # label(d6_tarski) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	14 $T # label(t1_tarski) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	15 (all A all B ((all C (A = C <-> r2_hidden(C,B))) <-> k1_tarski(A) = B)) # label(d1_tarski) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	16 $T # label(t6_tarski) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	17 (all A all B (r1_tarski(A,B) <-> (all C (r2_hidden(C,A) -> r2_hidden(C,B))))) # label(d3_tarski) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	18 (all A exists B (r2_hidden(A,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 -(r1_tarski(C,B) & -r2_tarski(C,B) & -r2_hidden(C,B))) & (all C all D (r2_hidden(C,B) & r1_tarski(D,C) -> r2_hidden(D,B))))) # label(t9_tarski) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	19 (all A all B all C (p1_s1_tarski(A,B) & p1_s1_tarski(A,C) -> C = B)) -> (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].
11.30/10.98	20 $T # label(t4_tarski) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	21 $T # label(dt_k4_tarski) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	22 $T # label(t5_tarski) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	23 (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].
11.30/10.98	24 (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].
11.30/10.98	25 (all A all B k2_xboole_0(k4_xboole_0(A,B),k4_xboole_0(B,A)) = k5_xboole_0(A,B)) # label(d6_xboole_0) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	26 (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].
11.30/10.98	27 (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].
11.30/10.98	28 (all A ((all B -r2_hidden(B,A)) <-> A = k1_xboole_0)) # label(d1_xboole_0) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	29 (all A all B r3_xboole_0(A,A)) # label(reflexivity_r3_xboole_0) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	30 (all A all B all C (-(r2_hidden(A,B) <-> r2_hidden(A,C)) <-> r2_hidden(A,k5_xboole_0(B,C)))) # label(t1_xboole_0) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	31 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	32 (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].
11.30/10.98	33 (all A all B (r1_tarski(A,B) & A != B <-> r2_xboole_0(A,B))) # label(d8_xboole_0) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	34 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	35 (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,B) & -r2_hidden(C,A)))) # label(t5_xboole_0) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	36 (all A all B A = k2_xboole_0(A,A)) # label(idempotence_k2_xboole_0) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	37 (all A all B (-(r1_xboole_0(A,B) & (exists C (r2_hidden(C,A) & r2_hidden(C,B)))) & -(-r1_xboole_0(A,B) & (all C -(r2_hidden(C,A) & r2_hidden(C,B)))))) # label(t3_xboole_0) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	38 $T # label(dt_k3_xboole_0) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	39 (all A all B A = k3_xboole_0(A,A)) # label(idempotence_k3_xboole_0) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	40 (all A all B all C ((all D ((r2_hidden(D,C) <-> r2_hidden(D,B)) <-> -r2_hidden(D,A))) -> A = k5_xboole_0(B,C))) # label(t2_xboole_0) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	41 (all A all B all C (C = k3_xboole_0(A,B) <-> (all D (r2_hidden(D,C) <-> r2_hidden(D,B) & r2_hidden(D,A))))) # label(d3_xboole_0) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	42 $T # label(dt_k5_xboole_0) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	43 $T # label(dt_k4_xboole_0) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	44 (exists A all B (r2_hidden(B,f1_s1_xboole_0) & p1_s1_xboole_0(B) <-> r2_hidden(B,A))) # label(s1_xboole_0) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	45 (all A all B all C (C = k2_xboole_0(A,B) <-> (all D (r2_hidden(D,A) | r2_hidden(D,B) <-> r2_hidden(D,C))))) # label(d2_xboole_0) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	46 (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].
11.30/10.98	47 (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].
11.30/10.98	48 (all A (k1_xboole_0 = A <-> v1_xboole_0(A))) # label(d5_xboole_0) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	49 (all A all B (k3_xboole_0(A,B) = k1_xboole_0 <-> r1_xboole_0(A,B))) # label(d7_xboole_0) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	50 (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].
11.30/10.98	51 (all A all B (-(-r1_xboole_0(A,B) & (all C -r2_hidden(C,k3_xboole_0(A,B)))) & -(r1_xboole_0(A,B) & (exists C r2_hidden(C,k3_xboole_0(A,B)))))) # label(t4_xboole_0) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	52 (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].
11.30/10.98	53 (all A all B (B = A <-> r1_tarski(A,B) & r1_tarski(B,A))) # label(d10_xboole_0) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	54 (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].
11.30/10.98	55 (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].
11.30/10.98	56 $T # label(dt_k2_xboole_0) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	57 (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].
11.30/10.98	58 (all A all B all C (k4_xboole_0(A,B) = C <-> (all D (r2_hidden(D,A) & -r2_hidden(D,B) <-> r2_hidden(D,C))))) # label(d4_xboole_0) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	59 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	60 (all A all B -r2_xboole_0(A,A)) # label(irreflexivity_r2_xboole_0) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	61 (all A (v1_xboole_0(A) -> k1_xboole_0 = A)) # label(t6_boole) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	62 (all A A = k2_xboole_0(A,k1_xboole_0)) # label(t1_boole) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	63 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	64 (all A k3_xboole_0(A,k1_xboole_0) = k1_xboole_0) # label(t2_boole) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	65 (all A A = k5_xboole_0(A,k1_xboole_0)) # label(t5_boole) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	66 (all A k1_xboole_0 = k4_xboole_0(k1_xboole_0,A)) # label(t4_boole) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	67 (all A k4_xboole_0(A,k1_xboole_0) = A) # label(t3_boole) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	68 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	69 (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].
11.30/10.98	70 (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].
11.30/10.98	71 (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].
11.30/10.98	72 (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) -> B = C)) # label(t72_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	73 (all A r1_tarski(k1_xboole_0,A)) # label(t2_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	74 (all A (-(A != k1_xboole_0 & r1_xboole_0(A,A)) & -(-r1_xboole_0(A,A) & A = k1_xboole_0))) # label(t66_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	75 (all A all B all C k3_xboole_0(k2_xboole_0(A,B),k2_xboole_0(A,C)) = k2_xboole_0(A,k3_xboole_0(B,C))) # label(t24_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	76 (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].
11.30/10.98	77 (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].
11.30/10.98	78 (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].
11.30/10.98	79 (all A all B r1_tarski(k4_xboole_0(A,B),A)) # label(t36_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	80 (all A all B all C (r1_tarski(A,B) & r2_xboole_0(B,C) -> r2_xboole_0(A,C))) # label(t59_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	81 (all A all B all C (r1_tarski(A,k5_xboole_0(B,C)) <-> r1_xboole_0(A,k3_xboole_0(B,C)) & r1_tarski(A,k2_xboole_0(B,C)))) # label(t107_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	82 (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].
11.30/10.98	83 (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].
11.30/10.98	84 (all A all B (k4_xboole_0(B,A) = k4_xboole_0(A,B) -> B = A)) # label(t32_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	85 (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].
11.30/10.98	86 (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].
11.30/10.98	87 (all A all B r1_tarski(k3_xboole_0(A,B),A)) # label(t17_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	88 (all A all B k2_xboole_0(k4_xboole_0(A,B),k4_xboole_0(B,A)) = k4_xboole_0(k2_xboole_0(A,B),k3_xboole_0(A,B))) # label(t55_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	89 (all A all B k5_xboole_0(A,k4_xboole_0(B,A)) = k2_xboole_0(A,B)) # label(t98_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	90 (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].
11.30/10.98	91 (all A all B (r1_tarski(A,B) -> A = k3_xboole_0(A,B))) # label(t28_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	92 (all A all B all C k4_xboole_0(A,k3_xboole_0(B,C)) = k2_xboole_0(k4_xboole_0(A,B),k4_xboole_0(A,C))) # label(t54_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	93 (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].
11.30/10.98	94 (all A all B r1_tarski(A,k2_xboole_0(A,B))) # label(t7_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	95 (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].
11.30/10.98	96 (all A all B all C k2_xboole_0(k4_xboole_0(A,k2_xboole_0(B,C)),k3_xboole_0(k3_xboole_0(A,B),C)) = k4_xboole_0(A,k5_xboole_0(B,C))) # label(t102_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	97 (all A all B k3_xboole_0(A,k2_xboole_0(A,B)) = A) # label(t21_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	98 (all A (r1_tarski(A,k1_xboole_0) -> A = k1_xboole_0)) # label(t3_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	99 (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].
11.30/10.98	100 (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].
11.30/10.98	101 (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].
11.30/10.98	102 (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].
11.30/10.98	103 (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].
11.30/10.98	104 (all A all B -(r2_xboole_0(B,A) & r2_xboole_0(A,B))) # label(t57_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	105 (all A all B all C (r1_tarski(A,B) & r1_xboole_0(A,C) -> r1_tarski(A,k4_xboole_0(B,C)))) # label(t86_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	106 (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].
11.30/10.98	107 (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].
11.30/10.98	108 (all A all B all C (r1_tarski(A,B) & (all D (r1_tarski(D,B) & r1_tarski(D,C) -> r1_tarski(D,A))) & r1_tarski(A,C) -> k3_xboole_0(B,C) = A)) # label(t20_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	109 (all A all B r1_xboole_0(k4_xboole_0(A,B),B)) # label(t79_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	110 (all A all B all C k4_xboole_0(k3_xboole_0(A,B),C) = k3_xboole_0(A,k4_xboole_0(B,C))) # label(t49_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	111 (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].
11.30/10.98	112 (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].
11.30/10.98	113 (all A all B all C ((all D (r1_tarski(A,D) & r1_tarski(C,D) -> r1_tarski(B,D))) & r1_tarski(C,B) & r1_tarski(A,B) -> k2_xboole_0(A,C) = B)) # label(t14_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	114 (all A (A != k1_xboole_0 -> r2_xboole_0(k1_xboole_0,A))) # label(t61_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	115 (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].
11.30/10.98	116 (all A all B all C (r1_tarski(k4_xboole_0(B,A),C) & r1_tarski(k4_xboole_0(A,B),C) -> r1_tarski(k5_xboole_0(A,B),C))) # label(t97_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	117 (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].
11.30/10.98	118 (all A all B -(r2_xboole_0(A,B) & k1_xboole_0 = k4_xboole_0(B,A))) # label(t105_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	119 (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].
11.30/10.98	120 (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].
11.30/10.98	121 (all A all B all C k3_xboole_0(k3_xboole_0(A,B),C) = k3_xboole_0(A,k3_xboole_0(B,C))) # label(t16_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	122 (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].
11.30/10.98	123 (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].
11.30/10.98	124 (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].
11.30/10.98	125 (all A all B all C all D (r1_tarski(A,B) & r1_tarski(C,D) -> r1_tarski(k3_xboole_0(A,C),k3_xboole_0(B,D)))) # label(t27_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	126 (all A all B all C (k2_xboole_0(C,B) = k2_xboole_0(A,B) & r1_xboole_0(C,B) & r1_xboole_0(A,B) -> A = C)) # label(t71_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	127 (all A all B k2_xboole_0(k5_xboole_0(A,B),k3_xboole_0(A,B)) = k2_xboole_0(A,B)) # label(t93_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	128 (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].
11.30/10.98	129 (all A -r2_xboole_0(A,k1_xboole_0)) # label(t62_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	130 (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].
11.30/10.98	131 (all A k1_xboole_0 = k5_xboole_0(A,A)) # label(t92_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	132 (all A all B all C k4_xboole_0(A,k2_xboole_0(B,C)) = k3_xboole_0(k4_xboole_0(A,B),k4_xboole_0(A,C))) # label(t53_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	133 (all A all B all C k4_xboole_0(k4_xboole_0(A,B),C) = k4_xboole_0(A,k2_xboole_0(B,C))) # label(t41_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	134 (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].
11.30/10.98	135 (all A all B all C -(-r1_xboole_0(A,B) & r1_tarski(A,C) & r1_xboole_0(A,k3_xboole_0(B,C)))) # label(t77_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	136 (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].
11.30/10.98	137 (all A all B all C k2_xboole_0(k2_xboole_0(A,C),k2_xboole_0(B,C)) = k2_xboole_0(k2_xboole_0(A,B),C)) # label(t5_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	138 (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].
11.30/10.98	139 (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].
11.30/10.98	140 (all A all B all C all D k2_xboole_0(k2_xboole_0(k2_xboole_0(A,B),C),D) = k2_xboole_0(A,k2_xboole_0(k2_xboole_0(B,C),D))) # label(t113_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	141 (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].
11.30/10.98	142 (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].
11.30/10.98	143 (all A all B (r1_tarski(A,B) -> k2_xboole_0(A,B) = B)) # label(t12_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	144 (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].
11.30/10.98	145 (all A all B k5_xboole_0(A,B) = k4_xboole_0(k2_xboole_0(A,B),k3_xboole_0(A,B))) # label(t101_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	146 (all A all B -(r1_tarski(A,B) & r2_xboole_0(B,A))) # label(t60_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	147 (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].
11.30/10.98	148 (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].
11.30/10.98	149 (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].
11.30/10.98	150 (all A all B (k4_xboole_0(A,B) = A <-> r1_xboole_0(A,B))) # label(t83_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	151 (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].
11.30/10.98	152 (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].
11.30/10.98	153 (all A all B all C -(-r1_xboole_0(A,B) & r1_xboole_0(A,k4_xboole_0(B,C)) & r1_xboole_0(A,C))) # label(t84_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	154 (all A all B all C (r1_tarski(A,C) & r1_xboole_0(B,C) & r1_tarski(A,B) -> A = k1_xboole_0)) # label(t67_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	155 (all A r1_xboole_0(A,k1_xboole_0)) # label(t65_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	156 (all A all B all C all D (r1_tarski(A,B) & r1_tarski(C,D) & r1_xboole_0(B,D) -> r1_xboole_0(A,C))) # label(t64_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	157 (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].
11.30/10.98	158 (all A all B (-(-r2_xboole_0(B,A) & B != A & -r2_xboole_0(A,B)) <-> r3_xboole_0(A,B))) # label(t104_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	159 (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].
11.30/10.98	160 (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].
11.30/10.98	161 (all A all B all C k4_xboole_0(A,k4_xboole_0(B,C)) = k2_xboole_0(k4_xboole_0(A,B),k3_xboole_0(A,C))) # label(t52_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	162 (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].
11.30/10.98	163 (all A all B all C (r1_xboole_0(A,C) & r1_tarski(A,k2_xboole_0(B,C)) -> r1_tarski(A,B))) # label(t73_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	164 (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].
11.30/10.98	165 (all A all B all C (r1_xboole_0(A,B) -> k4_xboole_0(k2_xboole_0(C,B),A) = k2_xboole_0(k4_xboole_0(C,A),B))) # label(t87_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	166 (all A all B all C (r1_tarski(C,B) & r1_tarski(A,B) -> r1_tarski(k5_xboole_0(A,C),B))) # label(t110_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	167 (all A all B A = k2_xboole_0(A,k3_xboole_0(A,B))) # label(t22_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	168 (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].
11.30/10.98	169 (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].
11.30/10.98	170 (all A all B all C (r1_xboole_0(B,C) & r1_tarski(A,B) -> r1_xboole_0(A,C))) # label(t63_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	171 (all A all B all C all D (r1_xboole_0(B,D) & r1_xboole_0(C,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].
11.30/10.98	172 (all A all B k4_xboole_0(A,B) = k4_xboole_0(k2_xboole_0(A,B),B)) # label(t40_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	173 (all A all B all C (-(r1_xboole_0(A,k2_xboole_0(B,C)) & -(r1_xboole_0(A,C) & r1_xboole_0(A,B))) & -(r1_xboole_0(A,C) & r1_xboole_0(A,B) & -r1_xboole_0(A,k2_xboole_0(B,C))))) # label(t70_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	174 (all A all B (-v1_xboole_0(B) -> -(r1_xboole_0(B,A) & r1_tarski(B,A)))) # label(t69_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	175 (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].
11.30/10.98	176 (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].
11.30/10.98	177 (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].
11.30/10.98	178 (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].
11.30/10.98	179 (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].
11.30/10.98	180 (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].
11.30/10.98	181 (all A all B (r1_tarski(A,B) <-> k4_xboole_0(A,B) = k1_xboole_0)) # label(t37_xboole_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	182 (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].
11.30/10.98	183 $T # label(t33_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	184 (all A all B all C all D all E all F k2_xboole_0(k1_tarski(A),k3_enumset1(B,C,D,E,F)) = k4_enumset1(A,B,C,D,E,F)) # label(t51_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	185 (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].
11.30/10.98	186 (all A k4_enumset1(A,A,A,A,A,A) = k1_tarski(A)) # label(t91_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	187 (all A all B all C all D (k1_enumset1(A,B,C) = D <-> (all E (-(E != A & C != E & B != E) <-> r2_hidden(E,D))))) # label(d1_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	188 $T # label(t14_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	189 (all A all B k2_tarski(A,B) = k2_enumset1(A,A,A,B)) # label(t77_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	190 $T # label(t29_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	191 $T # label(t121_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	192 (all A all B all C all D k4_enumset1(A,A,A,B,C,D) = k2_enumset1(A,B,C,D)) # label(t79_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	193 $T # label(dt_k6_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	194 (all A all B all C all D k2_enumset1(A,B,C,D) = k2_xboole_0(k2_tarski(A,B),k2_tarski(C,D))) # label(t45_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	195 (all A all B all C k1_enumset1(A,B,C) = k3_enumset1(A,A,A,B,C)) # label(t78_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	196 $T # label(t7_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	197 (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].
11.30/10.98	198 $T # label(t12_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	199 (all A all B all C all D all E all F all G all H all I ((all J (r2_hidden(J,I) <-> -(A != J & J != B & J != C & E != J & J != G & J != H & F != J & J != D))) <-> k6_enumset1(A,B,C,D,E,F,G,H) = I)) # label(d6_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	200 (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].
11.30/10.98	201 $T # label(t23_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	202 (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].
11.30/10.98	203 $T # label(t122_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	204 (all A all B all C all D k2_enumset1(A,B,C,D) = k2_enumset1(A,C,B,D)) # label(t104_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	205 $T # label(t6_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	206 (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].
11.30/10.98	207 $T # label(t24_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	208 $T # label(t18_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	209 (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].
11.30/10.98	210 (all A k6_enumset1(A,A,A,A,A,A,A,A) = k1_tarski(A)) # label(t96_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	211 $T # label(t1_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	212 (all A all B all C all D all E all F all G all H k2_xboole_0(k1_enumset1(A,B,C),k3_enumset1(D,E,F,G,H)) = k6_enumset1(A,B,C,D,E,F,G,H)) # label(t64_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	213 (all A all B all C k5_enumset1(A,A,A,A,A,B,C) = k1_enumset1(A,B,C)) # label(t89_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	214 (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].
11.30/10.98	215 (all A all B all C all D all E all F all G k5_enumset1(A,B,C,D,E,F,G) = k6_enumset1(A,A,B,C,D,E,F,G)) # label(t75_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	216 $T # label(t5_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	217 (all A all B all C all D all E k3_enumset1(A,B,C,D,E) = k2_xboole_0(k2_tarski(A,B),k1_enumset1(C,D,E))) # label(t48_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	218 (all A all B all C all D k2_enumset1(A,B,C,D) = k2_enumset1(C,B,A,D)) # label(t116_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	219 $T # label(t38_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	220 (all A all B all C k1_enumset1(A,B,C) = k1_enumset1(B,A,C)) # label(t99_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	221 $T # label(t15_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	222 $T # label(t114_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	223 (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].
11.30/10.98	224 (all A k1_tarski(A) = k3_enumset1(A,A,A,A,A)) # label(t87_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	225 (all A all B all C all D k2_enumset1(D,C,B,A) = k2_enumset1(A,B,C,D)) # label(t125_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	226 (all A k1_tarski(A) = k5_enumset1(A,A,A,A,A,A,A)) # label(t94_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	227 $T # label(t115_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	228 $T # label(t106_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	229 (all A k1_enumset1(A,A,A) = k1_tarski(A)) # label(t76_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	230 (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].
11.30/10.98	231 $T # label(t17_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	232 $T # label(t39_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	233 $T # label(t4_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	234 (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].
11.30/10.98	235 (all A all B all C all D all E k3_enumset1(A,B,C,D,E) = k2_xboole_0(k2_enumset1(A,B,C,D),k1_tarski(E))) # label(t50_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	236 (all A all B all C k1_enumset1(A,B,C) = k1_enumset1(C,B,A)) # label(t102_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.98	237 (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].
11.30/10.99	238 (all A all B all C all D k2_enumset1(A,B,D,C) = k2_enumset1(A,B,C,D)) # label(t103_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	239 $T # label(dt_k5_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	240 $T # label(t22_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	241 (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].
11.30/10.99	242 $T # label(t30_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	243 (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].
11.30/10.99	244 $T # label(dt_k3_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	245 (all A all B all C all D k2_enumset1(A,B,C,D) = k3_enumset1(A,A,B,C,D)) # label(t72_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	246 $T # label(t11_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	247 (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].
11.30/10.99	248 $T # label(t13_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	249 (all A all B all C all D k2_enumset1(A,B,C,D) = k2_enumset1(B,C,A,D)) # label(t110_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	250 (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].
11.30/10.99	251 (all A all B all C all D all E k3_enumset1(A,B,C,D,E) = k2_xboole_0(k1_tarski(A),k2_enumset1(B,C,D,E))) # label(t47_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	252 $T # label(dt_k1_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	253 (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].
11.30/10.99	254 (all A all B all C all D all E k2_xboole_0(k1_enumset1(A,B,C),k2_tarski(D,E)) = k3_enumset1(A,B,C,D,E)) # label(t49_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	255 (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].
11.30/10.99	256 (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_tarski(A,B),k4_enumset1(C,D,E,F,G,H))) # label(t63_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	257 (all A all B all C all D all E all F k2_xboole_0(k2_tarski(A,B),k2_enumset1(C,D,E,F)) = k4_enumset1(A,B,C,D,E,F)) # label(t52_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	258 (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(k3_enumset1(A,B,C,D,E),k1_enumset1(F,G,H))) # label(t66_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	259 $T # label(t8_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	260 (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].
11.30/10.99	261 (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].
11.30/10.99	262 $T # label(t35_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	263 (all A all B k2_tarski(A,B) = k2_xboole_0(k1_tarski(A),k1_tarski(B))) # label(t41_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	264 (all A all B all C all D all E (k2_enumset1(A,B,C,D) = E <-> (all F (r2_hidden(F,E) <-> -(F != B & C != F & F != D & A != F))))) # label(d2_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	265 (all A all B all C all D all E k6_enumset1(A,A,A,A,B,C,D,E) = k3_enumset1(A,B,C,D,E)) # label(t86_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	266 (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].
11.30/10.99	267 (all A all B all C all D all E all F all G (k4_enumset1(A,B,C,D,E,F) = G <-> (all H (r2_hidden(H,G) <-> -(A != H & B != H & H != C & D != H & F != H & E != H))))) # label(d4_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	268 $T # label(dt_k4_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	269 (all A k1_tarski(A) = k2_enumset1(A,A,A,A)) # label(t82_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	270 (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].
11.30/10.99	271 (all A all B all C all D all E k4_enumset1(A,A,B,C,D,E) = k3_enumset1(A,B,C,D,E)) # label(t73_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	272 (all A all B all C all D k2_enumset1(A,B,C,D) = k2_enumset1(A,C,D,B)) # label(t105_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	273 (all A all B all C all D all E all F all G all H k2_xboole_0(k4_enumset1(A,B,C,D,E,F),k2_tarski(G,H)) = k6_enumset1(A,B,C,D,E,F,G,H)) # label(t67_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	274 $T # label(t120_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	275 (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].
11.30/10.99	276 (all A all B k2_tarski(A,B) = k3_enumset1(A,A,A,A,B)) # label(t83_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	277 (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].
11.30/10.99	278 (all A k2_tarski(A,A) = k1_tarski(A)) # label(t69_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	279 (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].
11.30/10.99	280 $T # label(dt_k2_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	281 $T # label(t32_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	282 (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].
11.30/10.99	283 (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].
11.30/10.99	284 $T # label(t34_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	285 $T # label(t40_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	286 $T # label(t10_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	287 (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].
11.30/10.99	288 (all A all B all C all D k2_enumset1(A,B,C,D) = k5_enumset1(A,A,A,A,B,C,D)) # label(t85_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	289 (all A all B all C all D k2_xboole_0(k1_tarski(A),k1_enumset1(B,C,D)) = k2_enumset1(A,B,C,D)) # label(t44_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	290 $T # label(t28_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	291 (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].
11.30/10.99	292 (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].
11.30/10.99	293 (all A all B k1_enumset1(A,A,B) = k2_tarski(A,B)) # label(t70_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	294 (all A all B all C all D k2_enumset1(C,B,D,A) = k2_enumset1(A,B,C,D)) # label(t117_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	295 $T # label(t101_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	296 (all A all B all C k1_enumset1(A,B,C) = k4_enumset1(A,A,A,A,B,C)) # label(t84_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	297 $T # label(t19_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	298 $T # label(t124_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	299 $T # label(t36_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	300 $T # label(t31_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	301 (all A all B all C k1_enumset1(A,B,C) = k1_enumset1(A,C,B)) # label(t98_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	302 (all A all B all C all D all E all F all G all H ((all I (r2_hidden(I,H) <-> -(I != B & I != E & I != F & I != G & I != D & C != I & I != A))) <-> H = k5_enumset1(A,B,C,D,E,F,G))) # label(d5_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	303 $T # label(t37_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	304 (all A all B all C all D k2_enumset1(A,B,C,D) = k2_enumset1(B,D,C,A)) # label(t113_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	305 $T # label(t27_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	306 $T # label(t16_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	307 (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_enumset1(A,B,C,D),k1_enumset1(E,F,G))) # label(t59_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	308 $T # label(t25_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	309 $T # label(t97_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	310 $T # label(t21_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	311 (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].
11.30/10.99	312 (all A all B all C all D all E all F ((all G (-(A != G & G != C & D != G & G != E & B != G) <-> r2_hidden(G,F))) <-> k3_enumset1(A,B,C,D,E) = F)) # label(d3_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	313 $T # label(t3_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	314 (all A all B all C all D all E all F k4_enumset1(A,B,C,D,E,F) = k2_xboole_0(k3_enumset1(A,B,C,D,E),k1_tarski(F))) # label(t55_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	315 $T # label(t9_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	316 $T # label(t26_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	317 (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].
11.30/10.99	318 $T # label(t20_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	319 $T # label(t2_enumset1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	320 (all A all B (k1_zfmisc_1(A) = B <-> (all C (r2_hidden(C,B) <-> r1_tarski(C,A))))) # label(d1_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	321 (all A all B all C all D -(r1_tarski(k2_tarski(A,B),k2_tarski(C,D)) & A != C & D != A)) # label(t28_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	322 (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].
11.30/10.99	323 (all A all B -(A != k1_tarski(B) & (all C -(r2_hidden(C,A) & B != C)) & A != k1_xboole_0)) # label(t41_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	324 $T # label(t89_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	325 (all A all B (k4_xboole_0(k1_tarski(A),k1_tarski(B)) = k1_tarski(A) <-> B != A)) # label(t20_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	326 (all A all B all C all D k4_xboole_0(k2_zfmisc_1(A,B),k2_zfmisc_1(C,D)) = k2_xboole_0(k2_zfmisc_1(k4_xboole_0(A,C),B),k2_zfmisc_1(A,k4_xboole_0(B,D)))) # label(t126_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	327 (all A all B (k4_xboole_0(k1_tarski(A),k1_tarski(B)) = k1_xboole_0 -> A = B)) # label(t21_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	328 (all A k2_tarski(k1_xboole_0,k1_tarski(A)) = k1_zfmisc_1(k1_tarski(A))) # label(t30_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	329 (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].
11.30/10.99	330 (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].
11.30/10.99	331 (all A exists B ((all C all D (r1_tarski(D,C) & r2_hidden(C,B) -> r2_hidden(D,B))) & (all C (r2_hidden(C,B) -> r2_hidden(k1_zfmisc_1(C),B))) & (all C -(r1_tarski(C,B) & -r2_hidden(C,B) & -r2_tarski(C,B))) & r2_hidden(A,B))) # label(t136_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	332 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	333 (all A all B (B != A -> k1_tarski(A) = k4_xboole_0(k2_tarski(A,B),k1_tarski(B)))) # label(t23_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	334 (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].
11.30/10.99	335 (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].
11.30/10.99	336 (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].
11.30/10.99	337 (all A all B all C all D (B != A -> 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].
11.30/10.99	338 (all A k3_tarski(k1_zfmisc_1(A)) = A) # label(t99_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	339 (all A all B k1_xboole_0 = k4_xboole_0(k1_tarski(A),k2_tarski(A,B))) # label(t22_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	340 (all A all B all C all D (r2_hidden(A,C) & r2_hidden(B,D) <-> r2_hidden(k4_tarski(A,B),k2_zfmisc_1(C,D)))) # label(t106_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	341 (all A all B all C (k4_xboole_0(A,k2_tarski(B,C)) = k1_xboole_0 <-> -(k1_xboole_0 != A & k1_tarski(B) != A & k1_tarski(C) != A & A != k2_tarski(B,C)))) # label(t75_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	342 (all A all B all C (k4_xboole_0(k2_tarski(A,B),C) = k2_tarski(A,B) <-> -r2_hidden(B,C) & -r2_hidden(A,C))) # label(t72_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	343 (all A all B all C -(k1_tarski(A) = k2_xboole_0(B,C) & B != C & k1_xboole_0 != C & k1_xboole_0 != B)) # label(t44_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	344 (all A all B all C all 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)) = k2_zfmisc_1(k2_xboole_0(A,B),k2_xboole_0(C,D))) # label(t121_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	345 (all A all B (r1_tarski(k1_tarski(A),k1_tarski(B)) -> B = A)) # label(t24_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	346 (all A all B (-r2_hidden(A,B) <-> k1_tarski(A) = k4_xboole_0(k1_tarski(A),B))) # label(t67_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	347 (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].
11.30/10.99	348 (all A all B ((all C -((all D all E k4_tarski(D,E) != C) & r2_hidden(C,A))) & (all C -((all D all E C != k4_tarski(D,E)) & r2_hidden(C,B))) & (all C all D (r2_hidden(k4_tarski(C,D),A) <-> r2_hidden(k4_tarski(C,D),B))) -> B = A)) # label(t112_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	349 (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].
11.30/10.99	350 (all A all B all C (k4_xboole_0(k2_tarski(A,B),C) = k1_tarski(A) <-> -r2_hidden(A,C) & (r2_hidden(B,C) | B = A))) # label(t70_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	351 $T # label(t7_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	352 (all A all B all C all D all E -(r2_hidden(A,k3_xboole_0(k2_zfmisc_1(B,C),k2_zfmisc_1(D,E))) & (all F all G -(r2_hidden(F,k3_xboole_0(B,D)) & r2_hidden(G,k3_xboole_0(C,E)) & A = k4_tarski(F,G))))) # label(t104_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	353 (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].
11.30/10.99	354 (all A all B all C (r1_tarski(A,k2_tarski(B,C)) <-> -(A != k2_tarski(B,C) & A != k1_tarski(C) & A != k1_tarski(B) & A != k1_xboole_0))) # label(t42_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	355 (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].
11.30/10.99	356 (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].
11.30/10.99	357 (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].
11.30/10.99	358 (all A all B all C -(k1_tarski(A) = k2_xboole_0(B,C) & -(k1_tarski(A) = C & k1_xboole_0 = B) & -(k1_xboole_0 = C & k1_tarski(A) = B) & -(k1_tarski(A) = B & C = k1_tarski(A)))) # label(t43_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	359 (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].
11.30/10.99	360 (all A all B k1_zfmisc_1(k3_xboole_0(A,B)) = k3_xboole_0(k1_zfmisc_1(A),k1_zfmisc_1(B))) # label(t83_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	361 $T # label(t4_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	362 (all A all B all C all D (r1_tarski(C,D) & r1_tarski(A,B) -> r1_tarski(k2_zfmisc_1(A,C),k2_zfmisc_1(B,D)))) # label(t119_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	363 (all A all B all C ((all D ((exists E exists F (r2_hidden(E,A) & D = k4_tarski(E,F) & r2_hidden(F,B))) <-> r2_hidden(D,C))) <-> k2_zfmisc_1(A,B) = C)) # label(d2_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	364 $T # label(t62_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	365 (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].
11.30/10.99	366 (all A all B k2_tarski(A,B) = k3_tarski(k2_tarski(k1_tarski(A),k1_tarski(B)))) # label(t32_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	367 (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].
11.30/10.99	368 $T # label(dt_k4_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	369 $T # label(t77_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	370 (all A all B all C (k2_tarski(k4_tarski(A,B),k4_tarski(A,C)) = k2_zfmisc_1(k1_tarski(A),k2_tarski(B,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].
11.30/10.99	371 (all A all B all C all D (k2_zfmisc_1(C,D) = k2_zfmisc_1(A,B) -> D = B & A = C | B = k1_xboole_0 | A = k1_xboole_0)) # label(t134_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	372 (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].
11.30/10.99	373 (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].
11.30/10.99	374 $T # label(t3_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	375 (all A all B (k1_tarski(A) = k4_xboole_0(k1_tarski(A),B) | k1_xboole_0 = k4_xboole_0(k1_tarski(A),B))) # label(t69_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	376 (all A all B -v1_xboole_0(k4_tarski(A,B))) # label(fc1_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	377 (all A all B -(A != k1_tarski(B) & A != k1_xboole_0 & k1_xboole_0 = k4_xboole_0(A,k1_tarski(B)))) # label(t66_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	378 (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].
11.30/10.99	379 (all A all B all C all D (r2_hidden(B,D) & A = C <-> r2_hidden(k4_tarski(A,B),k2_zfmisc_1(k1_tarski(C),D)))) # label(t128_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	380 $T # label(t76_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	381 (all A all B all C (r2_hidden(A,k4_xboole_0(B,k1_tarski(C))) <-> C != A & r2_hidden(A,B))) # label(t64_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	382 (all A all B all C all D -(k2_tarski(A,B) = k2_tarski(C,D) & A != C & D != A)) # label(t10_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	383 (all A all B k1_tarski(k4_tarski(A,B)) = k2_zfmisc_1(k1_tarski(A),k1_tarski(B))) # label(t35_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	384 (all A all B (k2_zfmisc_1(A,A) = k2_zfmisc_1(B,B) -> A = B)) # label(t115_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	385 $T # label(t87_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	386 (all A all B r1_tarski(k1_tarski(A),k2_tarski(A,B))) # label(t12_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	387 $T # label(t85_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	388 (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].
11.30/10.99	389 (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].
11.30/10.99	390 (all A all B all C all D (r1_xboole_0(C,D) | r1_xboole_0(A,B) -> r1_xboole_0(k2_zfmisc_1(A,C),k2_zfmisc_1(B,D)))) # label(t127_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	391 (all A all B all C all D all E all F ((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)) & r1_tarski(A,k2_zfmisc_1(B,C)) -> D = A)) # label(t110_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	392 (all A all B all C all D -(r2_hidden(D,A) & (all E all F -(k4_tarski(E,F) = D & r2_hidden(F,C) & r2_hidden(E,B))) & r1_tarski(A,k2_zfmisc_1(B,C)))) # label(t103_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	393 $T # label(t5_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	394 (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].
11.30/10.99	395 (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].
11.30/10.99	396 (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].
11.30/10.99	397 (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].
11.30/10.99	398 (all A all B (r2_hidden(A,B) -> k2_xboole_0(k1_tarski(A),B) = B)) # label(t46_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	399 (all A all B (r1_tarski(k1_tarski(A),k1_tarski(B)) -> B = A)) # label(t6_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	400 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	401 (all A all B -(B = A & r1_xboole_0(k1_tarski(A),k1_tarski(B)))) # label(t16_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	402 (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].
11.30/10.99	403 (all A all B all C all D (r1_tarski(k2_zfmisc_1(A,B),k2_zfmisc_1(C,D)) -> k2_zfmisc_1(A,B) = k1_xboole_0 | r1_tarski(A,C) & r1_tarski(B,D))) # label(t138_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	404 (all A all B all C -(A != B & A != C & r1_tarski(k1_tarski(A),k2_tarski(B,C)))) # label(t25_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	405 $T # label(t133_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	406 (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].
11.30/10.99	407 (all A all B (k2_zfmisc_1(B,A) = k2_zfmisc_1(A,B) -> A = B | B = k1_xboole_0 | A = k1_xboole_0)) # label(t114_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	408 (all A all B all C (r1_tarski(k2_tarski(A,B),C) <-> r2_hidden(A,C) & r2_hidden(B,C))) # label(t38_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	409 (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].
11.30/10.99	410 (all A all B all C -(r2_hidden(A,k2_zfmisc_1(B,C)) & (all D all E A != k4_tarski(D,E)))) # label(t102_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	411 (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].
11.30/10.99	412 (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].
11.30/10.99	413 (all A all B (r1_tarski(k1_tarski(A),B) <-> r2_hidden(A,B))) # label(t37_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	414 (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].
11.30/10.99	415 (all A all B all 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))) & -r1_tarski(B,C) & k1_xboole_0 != A)) # label(t117_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	416 (all A all B all C (k2_tarski(B,C) = k1_tarski(A) -> B = C)) # label(t9_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	417 (all A (r1_tarski(A,k2_zfmisc_1(A,A)) -> k1_xboole_0 = A)) # label(t116_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	418 (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].
11.30/10.99	419 (all A all B all C all D ((all E all F (r2_hidden(k4_tarski(E,F),k2_zfmisc_1(C,D)) <-> r2_hidden(k4_tarski(E,F),k2_zfmisc_1(A,B)))) -> k2_zfmisc_1(C,D) = k2_zfmisc_1(A,B))) # label(t108_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	420 (all A all B (-r2_hidden(B,A) <-> k4_xboole_0(A,k1_tarski(B)) = A)) # label(t65_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	421 (all A all B (k1_zfmisc_1(k2_xboole_0(A,B)) = k2_xboole_0(k1_zfmisc_1(A),k1_zfmisc_1(B)) -> r3_xboole_0(A,B))) # label(t82_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	422 (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].
11.30/10.99	423 $T # label(t61_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	424 $T # label(t88_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	425 (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].
11.30/10.99	426 (all A all B all C (k2_zfmisc_1(C,k2_xboole_0(A,B)) = k2_xboole_0(k2_zfmisc_1(C,A),k2_zfmisc_1(C,B)) & k2_zfmisc_1(k2_xboole_0(A,B),C) = k2_xboole_0(k2_zfmisc_1(A,C),k2_zfmisc_1(B,C)))) # label(t120_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	427 (all A all B (k3_xboole_0(A,k1_tarski(B)) = k1_tarski(B) -> r2_hidden(B,A))) # label(t51_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	428 (all A all B all C (k1_tarski(A) = k2_tarski(B,C) -> A = B)) # label(t8_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	429 $T # label(t90_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	430 $T # label(t78_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	431 (all A all B (k2_xboole_0(k1_tarski(A),k1_tarski(B)) = k1_tarski(A) -> B = A)) # label(t13_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	432 (all A all B (r1_tarski(A,k2_zfmisc_1(A,B)) | r1_tarski(A,k2_zfmisc_1(B,A)) -> A = k1_xboole_0)) # label(t135_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	433 (all A all B all C -(-r2_hidden(C,B) & -r1_xboole_0(k2_tarski(A,C),B) & -r2_hidden(A,B))) # label(t57_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	434 (all A k3_tarski(k1_tarski(A)) = A) # label(t31_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	435 $T # label(t11_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	436 (all A r1_tarski(k1_tarski(A),k1_zfmisc_1(A))) # label(t80_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	437 (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].
11.30/10.99	438 $T # label(dt_k3_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	439 (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].
11.30/10.99	440 $T # label(t15_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	441 (all A all B ((all C -((all D all E k4_tarski(D,E) != C) & r2_hidden(C,A))) & (all C all D (r2_hidden(k4_tarski(C,D),A) -> r2_hidden(k4_tarski(C,D),B))) -> r1_tarski(A,B))) # label(t111_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	442 (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].
11.30/10.99	443 (all A all B (k1_xboole_0 = k4_xboole_0(k1_tarski(A),B) <-> r2_hidden(A,B))) # label(t68_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	444 (all A all B all C (k2_zfmisc_1(k3_xboole_0(A,B),C) = k3_xboole_0(k2_zfmisc_1(A,C),k2_zfmisc_1(B,C)) & k3_xboole_0(k2_zfmisc_1(C,A),k2_zfmisc_1(C,B)) = k2_zfmisc_1(C,k3_xboole_0(A,B)))) # label(t122_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	445 $T # label(t71_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	446 (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].
11.30/10.99	447 (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].
11.30/10.99	448 (all A all B (A = k1_xboole_0 | k1_tarski(B) = A <-> r1_tarski(A,k1_tarski(B)))) # label(t39_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	449 (all A all B all C (r2_hidden(A,B) -> k1_tarski(A) = k3_xboole_0(k2_tarski(A,C),B) | C != A & r2_hidden(C,B))) # label(t60_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	450 $T # label(t91_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	451 (all A all B all C all D (k4_tarski(A,B) = k4_tarski(C,D) -> A = C & B = D)) # label(t33_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	452 (all A r1_tarski(A,k1_zfmisc_1(k3_tarski(A)))) # label(t100_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	453 (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].
11.30/10.99	454 (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].
11.30/10.99	455 (all A all B (r2_hidden(A,B) -> r1_tarski(A,k3_tarski(B)))) # label(t92_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	456 (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].
11.30/10.99	457 (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].
11.30/10.99	458 (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].
11.30/10.99	459 (all A all B all C (k2_tarski(A,B) = k3_xboole_0(k2_tarski(A,B),C) -> r2_hidden(A,C))) # label(t63_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	460 (all A all B (A != k1_xboole_0 -> k1_xboole_0 != k2_zfmisc_1(A,k1_tarski(B)) & k2_zfmisc_1(k1_tarski(B),A) != k1_xboole_0)) # label(t130_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	461 (all A (-v1_xboole_0(A) -> (all B all C all D (r1_tarski(k2_zfmisc_1(B,A),k2_zfmisc_1(D,C)) | r1_tarski(k2_zfmisc_1(A,B),k2_zfmisc_1(C,D)) -> r1_tarski(B,D))))) # label(t139_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	462 (all A all B all C -(k4_xboole_0(k2_tarski(A,B),C) != k1_xboole_0 & k4_xboole_0(k2_tarski(A,B),C) != k1_tarski(A) & k4_xboole_0(k2_tarski(A,B),C) != k2_tarski(A,B) & k1_tarski(B) != k4_xboole_0(k2_tarski(A,B),C))) # label(t74_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	463 (all A all B all C all D (r2_hidden(k4_tarski(A,B),k2_zfmisc_1(k1_tarski(C),k1_tarski(D))) <-> C = A & B = D)) # label(t34_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	464 (all A all B k2_xboole_0(k1_tarski(A),B) != k1_xboole_0) # label(t49_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	465 (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].
11.30/10.99	466 (all A all B all C all D (r2_hidden(A,C) & D = B <-> r2_hidden(k4_tarski(A,B),k2_zfmisc_1(C,k1_tarski(D))))) # label(t129_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	467 (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].
11.30/10.99	468 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (B = k2_subset_1(A) <-> r1_tarski(k3_subset_1(A,B),B)))) # label(t39_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	469 (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].
11.30/10.99	470 (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].
11.30/10.99	471 (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].
11.30/10.99	472 $T # label(t23_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	473 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> -((all C (m1_subset_1(C,A) -> -r2_hidden(C,B))) & k1_xboole_0 != B))) # label(t10_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	474 $T # label(t11_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	475 (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].
11.30/10.99	476 (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].
11.30/10.99	477 (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,C,B) = k5_subset_1(A,B,C))) # label(commutativity_k5_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	478 (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,C) & r2_hidden(E,D)))) -> B = k5_subset_1(A,C,D)))))))) # label(t16_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	479 $T # label(t3_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	480 $T # label(t19_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	481 (all A -v1_xboole_0(k1_tarski(A))) # label(fc2_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	482 (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,B) = B)) # label(idempotence_k4_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	483 (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,D) | r2_hidden(E,C) <-> r2_hidden(E,B)))) -> k4_subset_1(A,C,D) = B))))))) # label(t15_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	484 (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].
11.30/10.99	485 (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].
11.30/10.99	486 (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].
11.30/10.99	487 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(B) & -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].
11.30/10.99	488 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> k4_xboole_0(A,B) = k3_subset_1(A,B))) # label(d5_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	489 (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].
11.30/10.99	490 (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].
11.30/10.99	491 (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_tarski(B,k3_subset_1(A,C))))))) # label(t43_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	492 (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,C),k3_subset_1(A,B)) <-> r1_tarski(B,C)))))) # label(t31_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	493 (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].
11.30/10.99	494 (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].
11.30/10.99	495 $T # label(t5_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	496 (all A all B (-v1_xboole_0(A) & -v1_xboole_0(B) -> (r1_subset_1(A,B) <-> r1_xboole_0(A,B)))) # label(redefinition_r1_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	497 (all A m1_subset_1(k8_subset_1(A),A)) # label(dt_k8_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	498 $T # label(d1_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	499 (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].
11.30/10.99	500 (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].
11.30/10.99	501 $T # label(t13_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	502 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> k3_xboole_0(B,C) = k5_subset_1(A,B,C))) # label(redefinition_k5_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	503 (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].
11.30/10.99	504 (all A all B ((-v1_xboole_0(A) -> (r2_hidden(B,A) <-> m1_subset_1(B,A))) & (v1_xboole_0(A) -> (v1_xboole_0(B) <-> m1_subset_1(B,A))))) # label(d2_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	505 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (B = k1_subset_1(A) <-> r1_tarski(B,k3_subset_1(A,B))))) # label(t38_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	506 (all A k2_subset_1(A) = A) # label(d4_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	507 (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].
11.30/10.99	508 (all A all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (A != k1_xboole_0 -> m1_subset_1(k1_enumset1(B,C,D),k1_zfmisc_1(A))))))))) # label(t57_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	509 (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(k3_subset_1(A,B),k3_subset_1(A,C)) & r1_xboole_0(B,C) -> B = k3_subset_1(A,C)))))) # label(t46_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	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) -> (k1_xboole_0 != A -> 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].
11.30/10.99	511 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> B = k5_subset_1(A,B,B))) # label(idempotence_k5_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	512 (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].
11.30/10.99	513 (all A (m1_subset_1(A,f1_s4_subset_1) -> (r2_hidden(A,f2_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,f3_s4_subset_1)))) -> f3_s4_subset_1 = f2_s4_subset_1 # label(s4_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	514 (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].
11.30/10.99	515 (all A all B -v1_xboole_0(k2_tarski(A,B))) # label(fc3_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	516 $T # label(t20_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	517 $T # label(t24_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	518 (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_xboole_0(B,k3_subset_1(A,C))))))) # label(t44_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	519 (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,k5_subset_1(A,B,C),k5_subset_1(A,k3_subset_1(A,B),k3_subset_1(A,C))) = k3_subset_1(A,k7_subset_1(A,B,C)))))) # label(t34_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	520 (all A k2_subset_1(A) = k3_subset_1(A,k1_subset_1(A))) # label(t22_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	521 (all A exists B (m1_subset_1(B,k1_zfmisc_1(A)) & v1_xboole_0(B))) # label(rc2_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	522 (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,k6_subset_1(A,B,C)) = k4_subset_1(A,k3_subset_1(A,B),C))))) # label(t33_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	523 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	524 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> k6_subset_1(A,B,C) = k4_xboole_0(B,C))) # label(redefinition_k6_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/10.99	525 (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) -> (A != k1_xboole_0 -> 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].
11.30/11.00	526 (all A m1_subset_1(k2_subset_1(A),k1_zfmisc_1(A))) # label(dt_k2_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	527 (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].
11.30/11.00	528 (all A (m1_subset_1(k1_subset_1(A),k1_zfmisc_1(A)) & v1_xboole_0(k1_subset_1(A)))) # label(dt_k1_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	529 $T # label(t2_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	530 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(A)) -> -(r2_hidden(B,k3_subset_1(A,C)) & r2_hidden(B,C)))) # label(t54_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	531 (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].
11.30/11.00	532 (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].
11.30/11.00	533 (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].
11.30/11.00	534 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	535 (all A (k1_xboole_0 != A -> (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].
11.30/11.00	536 (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 = k3_subset_1(A,C)))))) # label(t53_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	537 $T # label(t37_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	538 (all A all B all C all D (-v1_xboole_0(A) & -v1_xboole_0(B) & -v1_xboole_0(C) & -v1_xboole_0(D) -> -v1_xboole_0(k4_zfmisc_1(A,B,C,D)))) # label(fc6_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	539 (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].
11.30/11.00	540 (exists A (m1_subset_1(A,k1_zfmisc_1(f1_s1_subset_1)) & (all B (r2_hidden(B,A) <-> p1_s1_subset_1(B) & r2_hidden(B,f1_s1_subset_1))))) # label(s1_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	541 (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(k7_subset_1(A,B,C),k1_zfmisc_1(A)))) # label(dt_k7_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	542 $T # label(t27_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	543 (all A all B (-v1_xboole_0(B) & -v1_xboole_0(A) -> (r1_xboole_0(A,B) <-> r2_subset_1(A,B)))) # label(redefinition_r2_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	544 (all A (-v1_xboole_0(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(B))))) # label(rc1_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	545 (all A m1_subset_1(k1_xboole_0,k1_zfmisc_1(A))) # label(t4_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	546 (all A (-$T -> (all B (m1_subset_1(B,A) -> k8_subset_1(A) = B)))) # label(d6_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	547 (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].
11.30/11.00	548 $T # label(t14_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	549 $T # label(t1_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	550 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	551 (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),k3_subset_1(A,C)) = k3_subset_1(A,k5_subset_1(A,B,C)))))) # label(t30_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	552 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(B) & -v1_xboole_0(A) -> (exists C m2_subset_1(C,A,B)))) # label(existence_m2_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	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)))) -> B = k3_subset_1(A,C)))))) # label(t52_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	554 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> k6_subset_1(A,B,C) = k5_subset_1(A,B,k3_subset_1(A,C)))))) # label(t32_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	555 $T # label(t45_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	556 (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].
11.30/11.00	557 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,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].
11.30/11.00	558 $T # label(t12_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	559 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> B = k3_subset_1(A,k3_subset_1(A,B)))) # label(involutiveness_k3_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	560 (all A all B all C (-v1_xboole_0(B) & -v1_xboole_0(C) & -v1_xboole_0(A) -> -v1_xboole_0(k3_zfmisc_1(A,B,C)))) # label(fc5_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	561 $T # label(t6_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	562 (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].
11.30/11.00	563 (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].
11.30/11.00	564 $T # label(t9_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	565 (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].
11.30/11.00	566 (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].
11.30/11.00	567 (all A k1_subset_1(A) = k1_xboole_0) # label(d3_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	568 (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) -> (A != k1_xboole_0 -> m1_subset_1(k2_enumset1(B,C,D,E),k1_zfmisc_1(A))))))))))) # label(t58_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	569 (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].
11.30/11.00	570 (exists A (m1_subset_1(A,k1_zfmisc_1(f1_s3_subset_1)) & (all B (m1_subset_1(B,f1_s3_subset_1) -> (p1_s3_subset_1(B) <-> r2_hidden(B,A)))))) # label(s3_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	571 (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_xboole_0(D,C) & r1_tarski(B,C) -> r1_tarski(B,k3_subset_1(A,D))))))))) # label(t47_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	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)))) -> B = C))))) # label(t8_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	573 (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,C) & -r2_hidden(E,D)))) -> B = k6_subset_1(A,C,D)))))))) # label(t17_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	574 (all A k3_subset_1(A,k2_subset_1(A)) = k1_subset_1(A)) # label(t21_subset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	575 (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].
11.30/11.00	576 (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].
11.30/11.00	577 (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].
11.30/11.00	578 $T # label(dt_k1_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	579 (all A (-v2_setfam_1(A) -> -v1_xboole_0(A))) # label(cc2_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	580 (all A all B (-v1_xboole_0(B) & -v1_xboole_0(A) -> -v1_xboole_0(k2_tarski(A,B)) & v1_setfam_1(k2_tarski(A,B)))) # label(fc3_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	581 (all A all B -(k1_setfam_1(k2_xboole_0(A,B)) != k3_xboole_0(k1_setfam_1(A),k1_setfam_1(B)) & B != k1_xboole_0 & A != k1_xboole_0)) # label(t10_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	582 (all A (v2_setfam_1(A) <-> (all B (-v1_xboole_0(B) -> -r2_hidden(B,A))))) # label(d11_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	583 $T # label(dt_k2_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	584 (all A all B all C (r2_hidden(A,B) & r1_xboole_0(A,C) -> r1_xboole_0(k1_setfam_1(B),C))) # label(t9_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	585 (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].
11.30/11.00	586 (all A all B (v1_setfam_1(A) & v1_setfam_1(B) -> v1_setfam_1(k2_xboole_0(A,B)))) # label(fc4_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	587 $T # label(t26_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	588 (all A all B all C (r1_setfam_1(C,k2_tarski(A,B)) -> (all D -(-r1_tarski(D,B) & -r1_tarski(D,A) & r2_hidden(D,C))))) # label(t25_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	589 (all A all B k3_tarski(k3_setfam_1(A,B)) = k3_xboole_0(k3_tarski(A),k3_tarski(B))) # label(t39_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	590 (all A all B k3_xboole_0(A,B) = k1_setfam_1(k2_tarski(A,B))) # label(t12_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	591 (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].
11.30/11.00	592 (all A all B (r1_setfam_1(A,B) <-> (all C -((all D -(r1_tarski(C,D) & r2_hidden(D,B))) & r2_hidden(C,A))))) # label(d2_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	593 (all A all B all C ((all D ((exists E exists F (r2_hidden(E,A) & D = k4_xboole_0(E,F) & r2_hidden(F,B))) <-> r2_hidden(D,C))) <-> C = k4_setfam_1(A,B))) # label(d6_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	594 (all A all B -(A != k1_xboole_0 & k1_xboole_0 != B & -r1_tarski(k2_xboole_0(k1_setfam_1(A),k1_setfam_1(B)),k1_setfam_1(k2_setfam_1(A,B))))) # label(t40_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	595 $T # label(t14_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	596 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (k1_xboole_0 = B -> A = k8_setfam_1(A,B)) & (B != k1_xboole_0 -> k8_setfam_1(A,B) = k6_setfam_1(A,B)))) # label(d10_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	597 (all A all B all C (r1_setfam_1(B,C) & r1_setfam_1(A,B) -> r1_setfam_1(A,C))) # label(t23_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	598 (all A (v1_setfam_1(A) <-> -r2_hidden(k1_xboole_0,A))) # label(d9_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	599 $T # label(t32_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	600 (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].
11.30/11.00	601 (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].
11.30/11.00	602 $T # label(t15_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	603 $T # label(t16_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	604 (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].
11.30/11.00	605 (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].
11.30/11.00	606 (all A all B ((k1_xboole_0 != A -> (B = k1_setfam_1(A) <-> (all C (r2_hidden(C,B) <-> (all D (r2_hidden(D,A) -> r2_hidden(C,D))))))) & (A = k1_xboole_0 -> (B = k1_setfam_1(A) <-> B = k1_xboole_0)))) # label(d1_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	607 (all A (r1_setfam_1(A,k1_xboole_0) -> A = k1_xboole_0)) # label(t21_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	608 (all A r1_setfam_1(k4_setfam_1(A,A),A)) # label(t31_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	609 (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].
11.30/11.00	610 (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].
11.30/11.00	611 (all A all B all C (r1_tarski(k3_tarski(A),B) & r2_hidden(C,A) -> r1_tarski(C,B))) # label(t56_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	612 (all A k1_setfam_1(k1_tarski(A)) = A) # label(t11_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	613 $T # label(t1_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	614 (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].
11.30/11.00	615 (all A r1_setfam_1(k3_setfam_1(A,A),A)) # label(t30_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	616 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) -> (r2_hidden(B,A) -> ((all D (r2_hidden(D,C) -> r2_hidden(B,D))) <-> r2_hidden(B,k8_setfam_1(A,C)))))) # label(t58_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	617 $T # label(t22_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	618 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (k1_tarski(A) = B -> k1_tarski(k1_xboole_0) = k7_setfam_1(A,B)))) # label(t55_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	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,B) = k7_setfam_1(A,C) -> C = B))))) # label(t53_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	620 (all A r1_tarski(k1_setfam_1(A),k3_tarski(A))) # label(t3_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	621 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> k1_setfam_1(B) = k6_setfam_1(A,B))) # label(redefinition_k6_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	622 (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].
11.30/11.00	623 (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].
11.30/11.00	624 (all A (-v1_xboole_0(A) -> v1_setfam_1(k1_tarski(A)) & -v1_xboole_0(k1_tarski(A)))) # label(fc2_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	625 $T # label(t28_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	626 (all A all B (r1_tarski(A,B) -> r1_setfam_1(A,B))) # label(t17_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	627 (all A all B k3_xboole_0(A,k3_tarski(B)) = k3_tarski(k3_setfam_1(k1_tarski(A),B))) # label(t36_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	628 (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].
11.30/11.00	629 (all A all B r1_setfam_1(A,A)) # label(reflexivity_r1_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	630 $T # label(t27_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	631 (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].
11.30/11.00	632 (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].
11.30/11.00	633 (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].
11.30/11.00	634 $T # label(t45_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	635 (all A all B (k1_xboole_0 != B -> 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].
11.30/11.00	636 (all A all B (r2_setfam_1(A,B) <-> (all C -(r2_hidden(C,B) & (all D -(r1_tarski(D,C) & r2_hidden(D,A))))))) # label(d3_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	637 (all A all B (B != k1_xboole_0 -> k3_tarski(k4_setfam_1(k1_tarski(A),B)) = k4_xboole_0(A,k1_setfam_1(B)))) # label(t38_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	638 (all A all B (k1_xboole_0 != B -> k1_setfam_1(k2_setfam_1(k1_tarski(A),B)) = k2_xboole_0(A,k1_setfam_1(B)))) # label(t35_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	639 $T # label(dt_k4_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	640 (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].
11.30/11.00	641 (all A all B (r2_setfam_1(B,A) -> A = k1_xboole_0 | r1_tarski(k1_setfam_1(B),k1_setfam_1(A)))) # label(t19_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	642 (all A all B all C (r2_hidden(A,B) & r1_tarski(A,C) -> r1_tarski(k1_setfam_1(B),C))) # label(t8_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	643 $T # label(t13_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	644 (all A all B (r1_tarski(A,B) -> k1_xboole_0 = A | r1_tarski(k1_setfam_1(B),k1_setfam_1(A)))) # label(t7_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	645 (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].
11.30/11.00	646 (all A r1_setfam_1(A,k2_setfam_1(A,A))) # label(t29_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	647 $T # label(t50_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	648 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> -(k1_xboole_0 != B & k1_xboole_0 = k7_setfam_1(A,B)))) # label(t46_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	649 (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].
11.30/11.00	650 (all A all B all C (k2_setfam_1(A,B) = C <-> (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].
11.30/11.00	651 (all A all B r2_setfam_1(B,B)) # label(reflexivity_r2_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	652 (all A all B all C ((all D ((exists E exists F (D = k3_xboole_0(E,F) & r2_hidden(F,B) & r2_hidden(E,A))) <-> r2_hidden(D,C))) <-> C = k3_setfam_1(A,B))) # label(d5_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	653 (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].
11.30/11.00	654 (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].
11.30/11.00	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))) -> ((all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (r2_hidden(D,C) <-> r2_hidden(D,B)))) -> C = B))))) # label(t44_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	656 (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].
11.30/11.00	657 $T # label(dt_k3_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	658 $T # label(t43_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	659 (all A (r2_hidden(k1_xboole_0,A) -> k1_setfam_1(A) = k1_xboole_0)) # label(t5_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	660 $T # label(d7_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	661 (exists A -v2_setfam_1(A)) # label(rc2_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	662 (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].
11.30/11.00	663 $T # label(t33_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	664 (all A r1_setfam_1(k1_xboole_0,A)) # label(t20_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	665 (exists A (v1_setfam_1(A) & -v1_xboole_0(A))) # label(rc1_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	666 (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)) = k6_subset_1(A,k2_subset_1(A),k5_setfam_1(A,B))))) # label(t47_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	667 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> k7_setfam_1(A,k7_setfam_1(A,B)) = B)) # label(involutiveness_k7_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	668 $T # label(t42_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	669 (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),k6_setfam_1(A,B)) = k5_setfam_1(A,k7_setfam_1(A,B))))) # label(t48_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	670 (all A all B ((all C (r2_hidden(C,A) -> r1_tarski(B,C))) -> A = k1_xboole_0 | r1_tarski(B,k1_setfam_1(A)))) # label(t6_setfam_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	671 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(C)) & r2_hidden(A,B) -> m1_subset_1(A,C))) # label(t4_subset) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	672 (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].
11.30/11.00	673 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	674 (all A all B all C -(r2_hidden(A,B) & v1_xboole_0(C) & m1_subset_1(B,k1_zfmisc_1(C)))) # label(t5_subset) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	675 (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].
11.30/11.00	676 (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].
11.30/11.00	677 $T # label(t83_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	678 $T # label(t142_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	679 (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].
11.30/11.00	680 (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].
11.30/11.00	681 (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].
11.30/11.00	682 (exists A (-v1_xboole_0(A) & v1_relat_1(A))) # label(rc2_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	683 $T # label(t61_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	684 (exists A ((all B all C (r2_hidden(k4_tarski(B,C),A) <-> r2_hidden(C,f2_s1_relat_1) & p1_s1_relat_1(B,C) & r2_hidden(B,f1_s1_relat_1))) & v1_relat_1(A))) # label(s1_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	685 $T # label(t35_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	686 (all A all B all C (v1_relat_1(C) -> k9_relat_1(C,k2_xboole_0(A,B)) = k2_xboole_0(k9_relat_1(C,A),k9_relat_1(C,B)))) # label(t153_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	687 (exists A (v3_relat_1(A) & v1_relat_1(A))) # label(rc3_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	688 (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].
11.30/11.00	689 $T # label(t36_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	690 (all A all B all C (v1_relat_1(C) -> (r2_hidden(A,k1_relat_1(C)) & r2_hidden(A,B) <-> r2_hidden(A,k1_relat_1(k7_relat_1(C,B)))))) # label(t86_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	691 (all A k1_xboole_0 = k10_relat_1(k1_xboole_0,A)) # label(t172_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	692 (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].
11.30/11.00	693 (all A all B (v1_relat_1(B) -> (k9_relat_1(B,A) = k1_xboole_0 <-> r1_xboole_0(k1_relat_1(B),A)))) # label(t151_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	694 (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].
11.30/11.00	695 (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].
11.30/11.00	696 (all A all B (v1_relat_1(B) -> k8_relat_1(A,B) = k5_relat_1(B,k6_relat_1(A)))) # label(t123_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	697 $T # label(t59_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	698 (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].
11.30/11.00	699 (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].
11.30/11.00	700 (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].
11.30/11.00	701 (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].
11.30/11.00	702 (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].
11.30/11.00	703 $T # label(dt_k3_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	704 $T # label(t84_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	705 (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].
11.30/11.00	706 (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].
11.30/11.00	707 (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(k4_tarski(A,B),D) & r2_hidden(A,C)))) # label(t74_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	708 (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].
11.30/11.00	709 (all A all B all C (v1_relat_1(C) -> k8_relat_1(k4_xboole_0(A,B),C) = k4_xboole_0(k8_relat_1(A,C),k8_relat_1(B,C)))) # label(t136_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	710 (all A all B (v1_relat_1(B) -> k10_relat_1(B,k3_xboole_0(k2_relat_1(B),A)) = k10_relat_1(B,A))) # label(t168_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	711 (all A all B v1_relat_1(k2_zfmisc_1(A,B))) # label(t6_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	712 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> k2_xboole_0(k2_relat_1(A),k2_relat_1(B)) = k2_relat_1(k2_xboole_0(A,B)))))) # label(t26_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	713 (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].
11.30/11.00	714 (all A (v1_relat_1(A) -> r1_tarski(k2_relat_1(A),k3_relat_1(A)) & r1_tarski(k1_relat_1(A),k3_relat_1(A)))) # label(t29_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	715 (all A all B (v1_relat_1(B) & v1_relat_1(A) -> v1_relat_1(k3_xboole_0(A,B)))) # label(fc1_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	716 $T # label(t2_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	717 (all A all B all C (v1_relat_1(C) -> (r2_hidden(A,k9_relat_1(C,B)) <-> (exists D (r2_hidden(D,k1_relat_1(C)) & r2_hidden(k4_tarski(D,A),C) & r2_hidden(D,B)))))) # label(t143_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	718 (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(k8_relat_1(A,C),k8_relat_1(B,D))))))) # label(t133_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	719 (all A all B (v1_relat_1(B) -> -(r1_tarski(A,k2_relat_1(B)) & k1_xboole_0 = k10_relat_1(B,A) & A != k1_xboole_0))) # label(t174_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	720 (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].
11.30/11.00	721 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> k7_relat_1(A,k1_relat_1(B)) = k7_relat_1(A,k1_relat_1(k7_relat_1(B,k1_relat_1(A)))))))) # label(t189_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	722 $T # label(t113_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	723 (all A (v1_relat_1(A) -> (all B all C ((all D ((exists E (r2_hidden(k4_tarski(D,E),A) & r2_hidden(E,B))) <-> r2_hidden(D,C))) <-> k10_relat_1(A,B) = C)))) # label(d14_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	724 (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].
11.30/11.00	725 (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].
11.30/11.00	726 (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].
11.30/11.00	727 (all A (v1_relat_1(A) -> k8_relat_1(k2_relat_1(A),A) = A)) # label(t126_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	728 $T # label(dt_k9_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	729 (all A v1_relat_1(k6_relat_1(A))) # label(dt_k6_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	730 (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].
11.30/11.00	731 (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].
11.30/11.00	732 (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(A) = k1_relat_1(k5_relat_1(A,B))))))) # label(t46_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	733 (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].
11.30/11.00	734 (all A all B (v1_relat_1(B) -> k2_relat_1(k8_relat_1(A,B)) = k3_xboole_0(k2_relat_1(B),A))) # label(t119_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	735 (all A k1_xboole_0 = k7_relat_1(k1_xboole_0,A)) # label(t111_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	736 $T # label(t68_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	737 (all A all B all C all D all E (v1_relat_1(E) -> (k2_tarski(k4_tarski(A,B),k4_tarski(C,D)) = E -> 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].
11.30/11.00	738 (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].
11.30/11.00	739 (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].
11.30/11.00	740 $T # label(t43_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	741 (all A (v1_relat_1(A) -> ((all B all C -r2_hidden(k4_tarski(B,C),A)) -> k1_xboole_0 = A))) # label(t56_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	742 (all A (v1_xboole_0(A) -> v1_relat_1(k1_relat_1(A)) & v1_xboole_0(k1_relat_1(A)))) # label(fc7_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	743 (all A all B (v1_relat_1(B) -> -(v3_relat_1(B) & -v3_relat_1(k7_relat_1(B,A))))) # label(t190_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	744 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> k9_relat_1(B,k2_relat_1(A)) = k2_relat_1(k5_relat_1(A,B)))))) # label(t160_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	745 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (B = k4_relat_1(A) <-> (all C all D (r2_hidden(k4_tarski(D,C),A) <-> r2_hidden(k4_tarski(C,D),B)))))))) # label(d7_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	746 (all A all B all C (v1_relat_1(C) -> (r2_hidden(k4_tarski(A,B),C) -> r2_hidden(B,k3_relat_1(C)) & r2_hidden(A,k3_relat_1(C))))) # label(t30_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	747 (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].
11.30/11.00	748 (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].
11.30/11.00	749 (all A all B (v1_relat_1(B) -> -(A != k1_xboole_0 & r1_tarski(A,k1_relat_1(B)) & k1_xboole_0 = k9_relat_1(B,A)))) # label(t152_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	750 (all A all B all C (v1_relat_1(C) -> k2_xboole_0(k7_relat_1(C,A),k7_relat_1(C,B)) = k7_relat_1(C,k2_xboole_0(A,B)))) # label(t107_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	751 (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].
11.30/11.00	752 (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].
11.30/11.00	753 (all A all B (v1_relat_1(B) -> (r1_tarski(k1_relat_1(B),A) -> k7_relat_1(B,A) = B))) # label(t97_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	754 (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].
11.30/11.00	755 (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].
11.30/11.00	756 (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].
11.30/11.00	757 (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].
11.30/11.00	758 (all A all B (v1_relat_1(A) & v1_relat_1(B) -> v1_relat_1(k2_xboole_0(A,B)))) # label(fc2_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	759 (all A (v1_relat_1(A) -> (all B all C (v1_relat_1(C) -> (k7_relat_1(A,B) = C <-> (all D all E (r2_hidden(D,B) & r2_hidden(k4_tarski(D,E),A) <-> r2_hidden(k4_tarski(D,E),C)))))))) # label(d11_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	760 (all A ((all B -(r2_hidden(B,A) & (all C all D B != k4_tarski(C,D)))) <-> v1_relat_1(A))) # label(d1_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	761 (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].
11.30/11.00	762 (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].
11.30/11.00	763 (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].
11.30/11.00	764 $T # label(t8_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	765 (all A all B (v1_relat_1(B) & v1_xboole_0(A) -> 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].
11.30/11.00	766 $T # label(t85_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	767 (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].
11.30/11.00	768 (all A all B (v1_relat_1(B) -> k2_relat_1(k7_relat_1(B,A)) = k9_relat_1(B,A))) # label(t148_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	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].
11.30/11.00	770 (all A (v1_xboole_0(A) -> v1_relat_1(k4_relat_1(A)) & v1_xboole_0(k4_relat_1(A)))) # label(fc11_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	771 (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].
11.30/11.00	772 (all A (v1_relat_1(A) -> k2_relat_1(k4_relat_1(A)) = k1_relat_1(A) & k2_relat_1(A) = k1_relat_1(k4_relat_1(A)))) # label(t37_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	773 (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].
11.30/11.00	774 (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].
11.30/11.00	775 (all A all B (v1_relat_1(B) -> (k7_relat_1(B,A) = k1_xboole_0 <-> r1_xboole_0(k1_relat_1(B),A)))) # label(t95_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	776 (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].
11.30/11.00	777 (exists A (v1_relat_1(A) & v1_xboole_0(A))) # label(rc1_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	778 $T # label(t58_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	779 (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].
11.30/11.00	780 (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].
11.30/11.00	781 $T # label(dt_k2_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	782 (all A (-v1_xboole_0(A) & v1_relat_1(A) -> -v1_xboole_0(k2_relat_1(A)))) # label(fc6_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	783 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> ((all D all E ((exists F (r2_hidden(k4_tarski(D,F),A) & r2_hidden(k4_tarski(F,E),B))) <-> r2_hidden(k4_tarski(D,E),C))) <-> C = k5_relat_1(A,B)))))))) # label(d8_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	784 (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].
11.30/11.00	785 $T # label(t63_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.00	786 $T # label(t42_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	787 (all A (v1_relat_1(A) -> k1_xboole_0 = k7_relat_1(A,k1_xboole_0))) # label(t110_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	788 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> k2_xboole_0(k4_relat_1(A),k4_relat_1(B)) = k4_relat_1(k2_xboole_0(A,B)))))) # label(t40_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	789 (all A (v1_relat_1(A) -> k4_relat_1(k4_relat_1(A)) = A)) # label(involutiveness_k4_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	790 (all A all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> (all D (v1_relat_1(D) -> (A = k1_relat_1(B) & r1_tarski(k2_relat_1(C),A) & k5_relat_1(C,B) = k6_relat_1(k1_relat_1(D)) & k6_relat_1(A) = k5_relat_1(B,D) -> C = D))))))) # label(t82_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	791 (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].
11.30/11.01	792 (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].
11.30/11.01	793 (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].
11.30/11.01	794 (all A (v1_relat_1(A) -> (all B (B = k1_relat_1(A) <-> (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].
11.30/11.01	795 $T # label(t114_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	796 (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].
11.30/11.01	797 (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].
11.30/11.01	798 (all A (v1_relat_1(A) -> k10_relat_1(A,k2_relat_1(A)) = k1_relat_1(A))) # label(t169_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	799 (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].
11.30/11.01	800 (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].
11.30/11.01	801 (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].
11.30/11.01	802 (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].
11.30/11.01	803 (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].
11.30/11.01	804 (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].
11.30/11.01	805 (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].
11.30/11.01	806 (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].
11.30/11.01	807 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> k1_relat_1(k2_xboole_0(A,B)) = k2_xboole_0(k1_relat_1(A),k1_relat_1(B)))))) # label(t13_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	808 (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].
11.30/11.01	809 (all A (v1_relat_1(A) -> v1_relat_1(k4_relat_1(A)))) # label(dt_k4_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	810 (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].
11.30/11.01	811 (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].
11.30/11.01	812 (all A all B (v1_relat_1(A) & v3_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].
11.30/11.01	813 $T # label(t69_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	814 (all A k1_xboole_0 = k8_relat_1(A,k1_xboole_0)) # label(t138_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	815 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> k5_relat_1(k5_relat_1(A,B),C) = k5_relat_1(A,k5_relat_1(B,C)))))))) # label(t55_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	816 (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].
11.30/11.01	817 (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].
11.30/11.01	818 (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].
11.30/11.01	819 (all A all B (v1_relat_1(B) -> (r1_tarski(A,k2_relat_1(B)) -> k2_relat_1(k8_relat_1(A,B)) = A))) # label(t120_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	820 (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].
11.30/11.01	821 (all A all B (v1_relat_1(B) -> (r1_tarski(k2_relat_1(B),A) -> B = k5_relat_1(B,k6_relat_1(A))))) # label(t79_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	822 (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].
11.30/11.01	823 (all A all B (v1_relat_1(B) -> k7_relat_1(B,A) = k3_xboole_0(B,k2_zfmisc_1(A,k2_relat_1(B))))) # label(t96_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	824 (all A all B v1_relat_1(k1_tarski(k4_tarski(A,B)))) # label(t4_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	825 (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].
11.30/11.01	826 (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].
11.30/11.01	827 (all A all B (v1_relat_1(B) -> k8_relat_1(A,k8_relat_1(A,B)) = k8_relat_1(A,B))) # label(t128_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	828 (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].
11.30/11.01	829 (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].
11.30/11.01	830 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> k2_xboole_0(k3_relat_1(A),k3_relat_1(B)) = k3_relat_1(k2_xboole_0(A,B)))))) # label(t33_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	831 (all A all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> k9_relat_1(k5_relat_1(B,C),A) = k9_relat_1(C,k9_relat_1(B,A)))))) # label(t159_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	832 (all A (k1_relat_1(k6_relat_1(A)) = A & k2_relat_1(k6_relat_1(A)) = A)) # label(t71_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	833 (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(k7_relat_1(C,A),k7_relat_1(D,B))))))) # label(t106_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	834 (all A (v1_relat_1(A) & -v1_xboole_0(A) -> -v1_xboole_0(k1_relat_1(A)))) # label(fc5_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	835 (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].
11.30/11.01	836 (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(k10_relat_1(C,A),k10_relat_1(D,B))))))) # label(t180_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	837 (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].
11.30/11.01	838 (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].
11.30/11.01	839 (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].
11.30/11.01	840 $T # label(t164_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	841 (all A all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> k5_relat_1(k7_relat_1(B,A),C) = k7_relat_1(k5_relat_1(B,C),A))))) # label(t112_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	842 $T # label(dt_k10_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	843 (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(k9_relat_1(C,A),k9_relat_1(D,B))))))) # label(t158_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	844 (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].
11.30/11.01	845 (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].
11.30/11.01	846 (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].
11.30/11.01	847 (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].
11.30/11.01	848 $T # label(t1_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	849 (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].
11.30/11.01	850 (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].
11.30/11.01	851 (all A all B (v1_relat_1(B) -> ((all C all D (r2_hidden(k4_tarski(C,D),B) <-> r2_hidden(C,A) & D = C)) <-> k6_relat_1(A) = B))) # label(d10_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	852 (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].
11.30/11.01	853 $T # label(t70_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	854 (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].
11.30/11.01	855 (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].
11.30/11.01	856 $T # label(t162_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	857 (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) & k7_relat_1(A,C) = k7_relat_1(B,C) -> k7_relat_1(B,k2_xboole_0(C,D)) = k7_relat_1(A,k2_xboole_0(C,D)))))))) # label(t185_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	858 (all A all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> (r1_tarski(k1_relat_1(C),A) & r1_tarski(C,B) -> r1_tarski(C,k7_relat_1(B,A))))))) # label(t186_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	859 (all A all B (v1_relat_1(B) & v1_xboole_0(A) -> v1_relat_1(k5_relat_1(B,A)) & v1_xboole_0(k5_relat_1(B,A)))) # label(fc10_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	860 $T # label(t141_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	861 $T # label(dt_k1_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	862 (all A all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> ((all D all E (r2_hidden(k4_tarski(D,E),C) <-> r2_hidden(k4_tarski(D,E),B) & r2_hidden(E,A))) <-> C = k8_relat_1(A,B)))))) # label(d12_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	863 (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].
11.30/11.01	864 (all A k1_xboole_0 = k9_relat_1(k1_xboole_0,A)) # label(t150_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	865 (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].
11.30/11.01	866 (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].
11.30/11.01	867 (all A (v1_relat_1(A) -> (k2_relat_1(A) = k1_xboole_0 | k1_xboole_0 = k1_relat_1(A) -> k1_xboole_0 = A))) # label(t64_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	868 (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].
11.30/11.01	869 $T # label(t16_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	870 (all A all B (v1_relat_1(B) -> (r1_tarski(k2_relat_1(B),A) -> k8_relat_1(A,B) = B))) # label(t125_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	871 $T # label(t57_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	872 (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].
11.30/11.01	873 (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].
11.30/11.01	874 (all A (v1_relat_1(A) -> (k1_xboole_0 = k1_relat_1(A) <-> k1_xboole_0 = k2_relat_1(A)))) # label(t65_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	875 (all A (v1_relat_1(A) -> k3_relat_1(A) = k3_relat_1(k4_relat_1(A)))) # label(t38_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	876 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> k4_relat_1(k3_xboole_0(A,B)) = k3_xboole_0(k4_relat_1(A),k4_relat_1(B)))))) # label(t39_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	877 (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].
11.30/11.01	878 $T # label(t7_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	879 (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].
11.30/11.01	880 (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].
11.30/11.01	881 (all A all B (v1_relat_1(B) -> r1_tarski(k5_relat_1(k6_relat_1(A),B),B) & r1_tarski(k5_relat_1(B,k6_relat_1(A)),B))) # label(t76_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	882 (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].
11.30/11.01	883 (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].
11.30/11.01	884 (all A (v1_relat_1(A) -> A = k7_relat_1(A,k1_relat_1(A)))) # label(t98_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	885 $T # label(t17_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	886 (all A (v1_relat_1(A) -> k5_relat_1(k6_relat_1(k1_relat_1(A)),A) = A)) # label(t78_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	887 (all 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(k4_tarski(E,D),A) & r2_hidden(E,B))))))))) # label(d13_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	888 (all A (v1_xboole_0(A) -> v1_relat_1(A))) # label(cc1_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	889 (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].
11.30/11.01	890 (all A all B all C (v1_relat_1(C) -> k8_relat_1(k3_xboole_0(A,B),C) = k3_xboole_0(k8_relat_1(A,C),k8_relat_1(B,C)))) # label(t135_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	891 (all A (v1_xboole_0(A) -> v1_relat_1(k2_relat_1(A)) & v1_xboole_0(k2_relat_1(A)))) # label(fc8_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	892 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C all D (k7_relat_1(B,D) = k7_relat_1(A,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].
11.30/11.01	893 $T # label(t12_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	894 (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].
11.30/11.01	895 $T # label(t11_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	896 (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].
11.30/11.01	897 (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].
11.30/11.01	898 (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].
11.30/11.01	899 (all A all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> k10_relat_1(B,k10_relat_1(C,A)) = k10_relat_1(k5_relat_1(B,C),A))))) # label(t181_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	900 $T # label(t165_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	901 (all A k4_relat_1(k6_relat_1(A)) = k6_relat_1(A)) # label(t72_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	902 (all A (v1_relat_1(A) -> k9_relat_1(A,k1_relat_1(A)) = k2_relat_1(A))) # label(t146_relat_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	903 (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].
11.30/11.01	904 (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].
11.30/11.01	905 (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,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].
11.30/11.01	906 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (v2_funct_1(C) -> k4_xboole_0(k9_relat_1(C,A),k9_relat_1(C,B)) = k9_relat_1(C,k4_xboole_0(A,B))))) # label(t123_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	907 $T # label(t135_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	908 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (v2_funct_1(A) & k6_relat_1(k1_relat_1(A)) = k5_relat_1(A,B) & k1_relat_1(B) = k2_relat_1(A) -> k2_funct_1(A) = B))))) # label(t63_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	909 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r2_hidden(B,k3_xboole_0(k1_relat_1(C),A)) -> k1_funct_1(k5_relat_1(k6_relat_1(A),C),B) = k1_funct_1(C,B)))) # label(t38_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	910 $T # label(t107_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	911 $T # label(t91_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	912 $T # label(t132_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	913 $T # label(t95_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	914 (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].
11.30/11.01	915 $T # label(t5_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	916 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v2_funct_1(A) -> v2_funct_1(k2_funct_1(A))))) # label(t62_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	917 (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].
11.30/11.01	918 (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].
11.30/11.01	919 (all A (v1_funct_1(A) & v1_relat_1(A) -> (v2_funct_1(A) -> k1_relat_1(A) = k1_relat_1(k5_relat_1(A,k2_funct_1(A))) & k1_relat_1(A) = k2_relat_1(k5_relat_1(A,k2_funct_1(A)))))) # label(t58_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	920 (all A (v1_funct_1(A) & v1_relat_1(A) -> (v2_funct_1(A) -> k2_funct_1(k2_funct_1(A)) = A))) # label(t65_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	921 $T # label(t114_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	922 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v2_funct_1(A) <-> (all B all C (r2_hidden(B,k1_relat_1(A)) & k1_funct_1(A,B) = k1_funct_1(A,C) & r2_hidden(C,k1_relat_1(A)) -> C = B))))) # label(d8_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	923 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (k1_relat_1(B) = A & (all C (r2_hidden(C,A) -> k1_funct_1(B,C) = C)) <-> B = k6_relat_1(A)))) # label(t34_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	924 $T # label(t74_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	925 (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(k8_relat_1(A,C),B) = k1_funct_1(C,B)))) # label(t87_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	926 (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].
11.30/11.01	927 $T # label(t130_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	928 (all A all B all C (p1_s2_funct_1(A,C) & p1_s2_funct_1(A,B) & r2_hidden(A,f1_s2_funct_1) -> B = C)) & (all A -(r2_hidden(A,f1_s2_funct_1) & (all B -p1_s2_funct_1(A,B)))) -> (exists A (v1_relat_1(A) & f1_s2_funct_1 = k1_relat_1(A) & (all B (r2_hidden(B,f1_s2_funct_1) -> p1_s2_funct_1(B,k1_funct_1(A,B)))) & v1_funct_1(A))) # label(s2_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	929 (all A (k1_xboole_0 != A -> (all B exists C (v1_funct_1(C) & k1_tarski(B) = k2_relat_1(C) & A = k1_relat_1(C) & v1_relat_1(C))))) # label(t15_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	930 $T # label(d6_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	931 $T # label(t129_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	932 (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)) <-> r2_hidden(D,k1_relat_1(C)) & r2_hidden(k1_funct_1(C,D),A))) & (all D (r2_hidden(D,k1_relat_1(B)) -> k1_funct_1(B,D) = k1_funct_1(C,D))) <-> B = k8_relat_1(A,C)))))) # label(t85_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	933 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (r2_hidden(A,k1_relat_1(B)) -> k1_tarski(k1_funct_1(B,A)) = k9_relat_1(B,k1_tarski(A))))) # label(t117_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	934 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> k3_xboole_0(k10_relat_1(C,A),k10_relat_1(C,B)) = k10_relat_1(C,k3_xboole_0(A,B)))) # label(t137_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	935 $T # label(t93_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	936 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (k2_relat_1(A) = k1_relat_1(B) & A = k5_relat_1(A,B) -> k6_relat_1(k1_relat_1(B)) = B))))) # label(t44_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	937 $T # label(t101_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	938 (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].
11.30/11.01	939 (all A (v1_funct_1(A) & v1_relat_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].
11.30/11.01	940 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> k1_relat_1(k5_relat_1(k6_relat_1(A),B)) = k3_xboole_0(k1_relat_1(B),A))) # label(t37_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	941 $T # label(t11_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	942 (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].
11.30/11.01	943 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (A = k1_relat_1(C) & r1_tarski(k2_relat_1(C),A) & k5_relat_1(C,B) = B & v2_funct_1(B) & k1_relat_1(B) = A -> C = k6_relat_1(A)))))) # label(t50_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	944 (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].
11.30/11.01	945 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (v2_funct_1(B) & r2_hidden(A,k2_relat_1(B)) -> k1_funct_1(k5_relat_1(k2_funct_1(B),B),A) = A & A = k1_funct_1(B,k1_funct_1(k2_funct_1(B),A))))) # label(t57_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	946 (all A all B (v1_relat_1(B) -> (r2_hidden(A,k2_relat_1(B)) <-> k1_xboole_0 != k10_relat_1(B,k1_tarski(A))))) # label(t142_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	947 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(k9_relat_1(C,A),k9_relat_1(C,B)) & v2_funct_1(C) & r1_tarski(A,k1_relat_1(C)) -> r1_tarski(A,B)))) # label(t157_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	948 $T # label(t109_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	949 (all A (v1_funct_1(A) & v1_relat_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].
11.30/11.01	950 (all A (v1_funct_1(A) & v1_relat_1(A) -> (v2_funct_1(A) -> k1_relat_1(k2_funct_1(A)) = k2_relat_1(A) & k2_relat_1(k2_funct_1(A)) = k1_relat_1(A)))) # label(t55_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	951 $T # label(t141_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	952 (exists A (v1_relat_1(A) & v1_funct_1(A) & v1_xboole_0(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	953 (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].
11.30/11.01	954 (all A (v1_relat_1(A) & v1_funct_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].
11.30/11.01	955 $T # label(t24_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	956 (all A (v1_xboole_0(A) -> v1_funct_1(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	957 $T # label(t102_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	958 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (k2_relat_1(A) = k2_relat_1(k5_relat_1(B,A)) & v2_funct_1(A) -> r1_tarski(k1_relat_1(A),k2_relat_1(B))))))) # label(t51_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	959 (all A (v1_funct_1(A) & v1_relat_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].
11.30/11.01	960 (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].
11.30/11.01	961 (all A k2_funct_1(k6_relat_1(A)) = k6_relat_1(A)) # label(t67_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	962 $T # label(t6_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	963 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_tarski(k2_relat_1(B),A) & (all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (A = k1_relat_1(D) & k5_relat_1(B,D) = k5_relat_1(B,C) & k1_relat_1(C) = A -> C = D))))) -> A = k2_relat_1(B)))) # label(t33_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	964 (all A all B all C (v1_relat_1(C) & v1_funct_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].
11.30/11.01	965 (all A all B (v1_funct_1(B) & v1_relat_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].
11.30/11.01	966 $T # label(t133_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	967 $T # label(t39_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	968 $T # label(t41_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	969 (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) -> (A = k2_relat_1(B) & A = k1_relat_1(C) & k5_relat_1(B,C) = k5_relat_1(B,D) & k1_relat_1(D) = A -> D = C))))))) # label(t156_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	970 (all A (v1_funct_1(A) & v1_relat_1(A) -> (v2_funct_1(A) -> k2_relat_1(A) = k1_relat_1(k5_relat_1(k2_funct_1(A),A)) & k2_relat_1(k5_relat_1(k2_funct_1(A),A)) = k2_relat_1(A)))) # label(t59_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	971 $T # label(d2_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	972 (all A v2_funct_1(k6_relat_1(A))) # label(t52_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	973 $T # label(t113_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	974 $T # label(t94_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	975 $T # label(t10_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	976 $T # label(t30_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	977 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C (C = k10_relat_1(A,B) <-> (all D (r2_hidden(k1_funct_1(A,D),B) & r2_hidden(D,k1_relat_1(A)) <-> r2_hidden(D,C))))))) # label(d13_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	978 (all A (v1_relat_1(A) & v1_funct_1(A) -> A = k5_relat_1(k6_relat_1(k1_relat_1(A)),A) & A = k5_relat_1(A,k6_relat_1(k2_relat_1(A))))) # label(t42_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	979 (all A all B (v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_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].
11.30/11.01	980 (exists A (v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	981 (all A all B all C (v1_funct_1(C) & v1_relat_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].
11.30/11.01	982 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (k2_relat_1(B) = k1_relat_1(A) & k5_relat_1(B,A) = k6_relat_1(k2_relat_1(A)) & v2_funct_1(A) -> k2_funct_1(A) = B))))) # label(t64_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	983 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(k4_tarski(A,B),C) <-> r2_hidden(A,k1_relat_1(C)) & k1_funct_1(C,A) = B))) # label(t8_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	984 (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].
11.30/11.01	985 (exists A (v3_relat_1(A) & v1_funct_1(A) & v1_relat_1(A))) # label(rc4_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	986 $T # label(dt_k1_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	987 $T # label(t77_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	988 (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].
11.30/11.01	989 (all A all 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),k10_relat_1(C,B)) -> r1_tarski(A,B)))) # label(t158_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	990 $T # label(t26_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	991 (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].
11.30/11.01	992 $T # label(t83_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	993 (all A (v1_funct_1(A) <-> (all B all C all D (r2_hidden(k4_tarski(B,D),A) & r2_hidden(k4_tarski(B,C),A) -> C = D)))) # label(d1_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	994 $T # label(t90_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	995 $T # label(t88_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	996 (all A all B all C (v1_relat_1(C) & v1_funct_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].
11.30/11.01	997 (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].
11.30/11.01	998 (all A all B all C (v1_relat_1(C) -> k3_xboole_0(A,k10_relat_1(C,B)) = k10_relat_1(k7_relat_1(C,A),B))) # label(t139_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	999 (all A (v1_relat_1(A) & v1_funct_1(A) -> ((all B all C k4_xboole_0(k9_relat_1(A,B),k9_relat_1(A,C)) = k9_relat_1(A,k4_xboole_0(B,C))) -> v2_funct_1(A)))) # label(t124_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	1000 $T # label(t3_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	1001 $T # label(t105_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	1002 (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(k5_relat_1(C,B))) <-> r2_hidden(A,k1_relat_1(C)) & r2_hidden(k1_funct_1(C,A),k1_relat_1(B))))))) # label(t21_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	1003 $T # label(t79_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	1004 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(B,k1_relat_1(k7_relat_1(C,A))) -> k1_funct_1(k7_relat_1(C,A),B) = k1_funct_1(C,B)))) # label(t70_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	1005 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r2_hidden(B,k3_xboole_0(k1_relat_1(C),A)) -> k1_funct_1(C,B) = k1_funct_1(k7_relat_1(C,A),B)))) # label(t71_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	1006 (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].
11.30/11.01	1007 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (B = k2_relat_1(A) <-> (all C (r2_hidden(C,B) <-> (exists D (C = k1_funct_1(A,D) & r2_hidden(D,k1_relat_1(A)))))))))) # label(d5_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	1008 $T # label(t119_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	1009 $T # label(t7_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	1010 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(k1_funct_1(C,B),A) & r2_hidden(B,k1_relat_1(C)) <-> r2_hidden(B,k1_relat_1(k8_relat_1(A,C)))))) # label(t86_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	1011 (all A all B (v1_funct_1(B) & v1_relat_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].
11.30/11.01	1012 (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)) -> k1_funct_1(A,C) = k1_funct_1(B,C))) & k1_relat_1(A) = k1_relat_1(B) -> A = B))))) # label(t9_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	1013 $T # label(d3_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	1014 $T # label(t29_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	1015 $T # label(d10_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	1016 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v2_funct_1(A) <-> (all B (v1_relat_1(B) & v1_funct_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(B,A) = k5_relat_1(C,A) & k1_relat_1(B) = k1_relat_1(C) -> C = B)))))))) # label(t49_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	1017 $T # label(t80_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	1018 $T # label(t31_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	1019 (exists A (v1_relat_1(A) & f1_s4_funct_1 = k1_relat_1(A) & (all B (m1_subset_1(B,f1_s4_funct_1) -> f2_s4_funct_1(B) = k1_funct_1(A,B))) & v1_funct_1(A))) # label(s4_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	1020 (all A all B all C (p1_s1_funct_1(A,B) & p1_s1_funct_1(A,C) -> C = B)) -> (exists A ((all B all C (r2_hidden(k4_tarski(B,C),A) <-> r2_hidden(B,f1_s1_funct_1) & p1_s1_funct_1(B,C))) & v1_funct_1(A) & v1_relat_1(A))) # label(s1_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	1021 $T # label(t1_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	1022 $T # label(t110_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	1023 (all A all B all C (v1_funct_1(C) & v1_relat_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].
11.30/11.01	1024 $T # label(t134_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	1025 $T # label(t112_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	1026 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C ((r2_hidden(B,k1_relat_1(A)) -> (r2_hidden(k4_tarski(B,C),A) <-> k1_funct_1(A,B) = C)) & (-r2_hidden(B,k1_relat_1(A)) -> (k1_xboole_0 = C <-> C = k1_funct_1(A,B))))))) # label(d4_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.01	1027 (all A (v1_funct_1(A) & v1_relat_1(A) -> (v2_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> ((all C all D ((k1_funct_1(A,D) = C & r2_hidden(D,k1_relat_1(A)) -> k1_funct_1(B,C) = D & r2_hidden(C,k2_relat_1(A))) & (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) <-> k2_funct_1(A) = B)))))) # label(t54_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1028 $T # label(t104_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1029 (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(B) = k1_relat_1(C) & k1_tarski(A) = k2_relat_1(B) & k2_relat_1(C) = k1_tarski(A) -> C = B))))) # label(t17_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1030 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (k3_xboole_0(k1_relat_1(C),A) = k1_relat_1(B) & (all D (r2_hidden(D,k1_relat_1(B)) -> k1_funct_1(C,D) = k1_funct_1(B,D))) <-> k7_relat_1(C,A) = B))))) # label(t68_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1031 $T # label(t92_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1032 (all A all B -(-(k1_xboole_0 != B & k1_xboole_0 = A) & (all C (v1_relat_1(C) & v1_funct_1(C) -> -(B = k1_relat_1(C) & r1_tarski(k2_relat_1(C),A)))))) # label(t18_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1033 (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].
11.30/11.02	1034 $T # label(t4_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1035 $T # label(t45_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1036 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (v2_funct_1(k5_relat_1(B,A)) & r1_tarski(k2_relat_1(B),k1_relat_1(A)) -> v2_funct_1(B)))))) # label(t47_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1037 $T # label(t75_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1038 $T # label(t115_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1039 (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].
11.30/11.02	1040 $T # label(t28_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1041 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (k1_relat_1(B) = k1_relat_1(k5_relat_1(B,A)) -> r1_tarski(k2_relat_1(B),k1_relat_1(A))))))) # label(t27_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1042 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (v2_funct_1(B) & r2_hidden(A,k1_relat_1(B)) -> k1_funct_1(k5_relat_1(B,k2_funct_1(B)),A) = A & k1_funct_1(k2_funct_1(B),k1_funct_1(B,A)) = A))) # label(t56_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1043 $T # label(t111_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1044 $T # label(t69_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1045 (all A (v1_relat_1(A) & v1_funct_1(A) -> ((all B -(r2_hidden(B,k2_relat_1(A)) & (all C k10_relat_1(A,k1_tarski(B)) != k1_tarski(C)))) <-> v2_funct_1(A)))) # label(t144_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1046 $T # label(t32_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1047 $T # label(t13_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1048 $T # label(t103_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1049 (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].
11.30/11.02	1050 (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].
11.30/11.02	1051 $T # label(t36_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1052 (all A (v1_funct_1(A) & v1_xboole_0(A) & v1_relat_1(A) -> v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(cc2_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1053 $T # label(t108_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1054 (all A (v1_funct_1(k6_relat_1(A)) & v1_relat_1(k6_relat_1(A)))) # label(fc2_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1055 (all A (v1_relat_1(A) & v1_funct_1(A) -> v1_relat_1(k2_funct_1(A)) & v1_funct_1(k2_funct_1(A)))) # label(dt_k2_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1056 $T # label(d7_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1057 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (k1_tarski(A) = k1_relat_1(B) -> k1_tarski(k1_funct_1(B,A)) = k2_relat_1(B)))) # label(t14_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1058 $T # label(t98_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1059 $T # label(t78_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1060 $T # label(t96_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1061 (all A (v1_relat_1(A) & v1_funct_1(A) -> ((all B all C k3_xboole_0(k9_relat_1(A,B),k9_relat_1(A,C)) = k9_relat_1(A,k3_xboole_0(B,C))) -> v2_funct_1(A)))) # label(t122_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1062 $T # label(t127_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1063 $T # label(t136_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1064 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (v2_funct_1(C) -> k9_relat_1(C,k3_xboole_0(A,B)) = k3_xboole_0(k9_relat_1(C,A),k9_relat_1(C,B))))) # label(t121_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1065 (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 (r2_hidden(D,k1_relat_1(C)) -> k1_funct_1(C,D) = k1_funct_1(B,k1_funct_1(A,D)))) & (all D (r2_hidden(D,k1_relat_1(C)) <-> r2_hidden(k1_funct_1(A,D),k1_relat_1(B)) & r2_hidden(D,k1_relat_1(A)))) -> C = k5_relat_1(A,B)))))))) # label(t20_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1066 (all A all B (v1_funct_1(A) & v1_relat_1(A) -> v1_relat_1(k7_relat_1(A,B)) & v1_funct_1(k7_relat_1(A,B)))) # label(fc4_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1067 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> B = k9_relat_1(k6_relat_1(A),B))) # label(t162_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1068 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (k1_relat_1(A) = k2_relat_1(B) & k1_relat_1(B) = k2_relat_1(A) & (all C all D (r2_hidden(D,k1_relat_1(B)) & r2_hidden(C,k1_relat_1(A)) -> (k1_funct_1(A,C) = D <-> k1_funct_1(B,D) = C))) & v2_funct_1(A) -> k2_funct_1(A) = B))))) # label(t60_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1069 (all A all B (v1_relat_1(B) & v1_funct_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].
11.30/11.02	1070 (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(k5_relat_1(C,B))) -> k1_funct_1(k5_relat_1(C,B),A) = k1_funct_1(B,k1_funct_1(C,A))))))) # label(t22_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1071 (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].
11.30/11.02	1072 (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].
11.30/11.02	1073 $T # label(t140_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1074 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> r1_tarski(k2_relat_1(k8_relat_1(A,B)),k2_relat_1(B)) & r1_tarski(k1_relat_1(k8_relat_1(A,B)),k1_relat_1(B)))) # label(t89_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1075 $T # label(t100_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1076 $T # label(t106_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1077 (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].
11.30/11.02	1078 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v3_relat_1(A) <-> (all B (r2_hidden(B,k1_relat_1(A)) -> v1_xboole_0(k1_funct_1(A,B))))))) # label(d14_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1079 (all A ((all B all C all D (r2_hidden(k4_tarski(B,C),A) & r2_hidden(k4_tarski(B,D),A) -> C = D)) & (all B -(r2_hidden(B,A) & (all C all D k4_tarski(C,D) != B))) -> v1_relat_1(A) & v1_funct_1(A))) # label(t2_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1080 (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(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].
11.30/11.02	1081 (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].
11.30/11.02	1082 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (v2_funct_1(B) -> k9_relat_1(B,A) = k10_relat_1(k2_funct_1(B),A)))) # label(t154_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1083 $T # label(t131_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1084 (exists A (v1_funct_1(A) & v2_relat_1(A) & v1_relat_1(A))) # label(rc5_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1085 (exists A (v1_funct_1(A) & v1_relat_1(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1086 (exists A (f1_s3_funct_1 = k1_relat_1(A) & (all B (r2_hidden(B,f1_s3_funct_1) -> k1_funct_1(A,B) = f2_s3_funct_1(B))) & v1_funct_1(A) & v1_relat_1(A))) # label(s3_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1087 $T # label(t128_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1088 (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,C) = k8_relat_1(A,k8_relat_1(B,C))))) # label(t97_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1089 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (v2_funct_1(k5_relat_1(B,A)) & k1_relat_1(A) = k2_relat_1(B) -> v2_funct_1(B) & v2_funct_1(A)))))) # label(t48_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1090 $T # label(d11_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1091 $T # label(t81_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1092 (all A (v1_funct_1(A) & v1_relat_1(A) -> ((exists B (v1_funct_1(B) & k6_relat_1(k1_relat_1(A)) = k5_relat_1(A,B) & v1_relat_1(B))) -> v2_funct_1(A)))) # label(t53_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1093 (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].
11.30/11.02	1094 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C ((all D ((exists E (r2_hidden(E,B) & D = k1_funct_1(A,E) & r2_hidden(E,k1_relat_1(A)))) <-> r2_hidden(D,C))) <-> k9_relat_1(A,B) = C)))) # label(d12_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1095 (all A all B (r2_hidden(B,A) -> k1_funct_1(k6_relat_1(A),B) = B)) # label(t35_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1096 (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].
11.30/11.02	1097 (all A all B (v1_relat_1(B) -> ((all C -(k1_xboole_0 = k10_relat_1(B,k1_tarski(C)) & r2_hidden(C,A))) -> r1_tarski(A,k2_relat_1(B))))) # label(t143_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1098 $T # label(t116_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1099 (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].
11.30/11.02	1100 (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(B) = A & A = k1_relat_1(C) -> C = B))))) -> k1_xboole_0 = A)) # label(t16_funct_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1101 (all A (v1_relat_1(A) -> (k4_relat_1(A) = A <-> v3_relat_2(A)))) # label(t30_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1102 $T # label(t10_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1103 (all A (v1_relat_1(A) -> (all B (r6_relat_2(A,B) <-> (all C all D -(r2_hidden(C,B) & D != C & -r2_hidden(k4_tarski(C,D),A) & -r2_hidden(k4_tarski(D,C),A) & r2_hidden(D,B))))))) # label(d6_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1104 (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].
11.30/11.02	1105 (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].
11.30/11.02	1106 (all A (v1_relat_1(A) -> (v1_relat_2(A) -> k1_relat_1(A) = k1_relat_1(k4_relat_1(A)) & k2_relat_1(A) = k2_relat_1(k4_relat_1(A))))) # label(t29_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1107 $T # label(t2_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1108 $T # label(t21_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1109 $T # label(t13_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1110 (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].
11.30/11.02	1111 $T # label(t16_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1112 (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].
11.30/11.02	1113 $T # label(t12_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1114 (all A (v1_relat_1(A) -> (v4_relat_2(A) <-> r1_tarski(k3_xboole_0(A,k4_relat_1(A)),k6_relat_1(k1_relat_1(A)))))) # label(t39_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1115 (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].
11.30/11.02	1116 $T # label(t9_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1117 $T # label(t11_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1118 $T # label(t4_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1119 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (v3_relat_2(A) & v3_relat_2(B) -> v3_relat_2(k3_xboole_0(A,B)) & v3_relat_2(k4_xboole_0(A,B)) & v3_relat_2(k2_xboole_0(A,B))))))) # label(t35_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1120 (all A (v1_relat_1(A) -> (v3_relat_2(A) <-> r3_relat_2(A,k3_relat_1(A))))) # label(d11_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1121 (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].
11.30/11.02	1122 $T # label(t3_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1123 (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].
11.30/11.02	1124 (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].
11.30/11.02	1125 (all A (v1_relat_1(A) -> (k2_xboole_0(A,k4_relat_1(A)) = k2_zfmisc_1(k3_relat_1(A),k3_relat_1(A)) <-> v7_relat_2(A)))) # label(t47_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1126 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (v8_relat_2(B) & v8_relat_2(A) -> v8_relat_2(k3_xboole_0(A,B))))))) # label(t43_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1127 (all A (v1_relat_1(A) -> (all B (r5_relat_2(A,B) <-> (all C all D -(r2_hidden(D,B) & r2_hidden(k4_tarski(C,D),A) & r2_hidden(k4_tarski(D,C),A) & r2_hidden(C,B))))))) # label(d5_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1128 (all A (v1_relat_1(A) -> (v1_relat_2(A) <-> r1_relat_2(A,k3_relat_1(A))))) # label(d9_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1129 (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].
11.30/11.02	1130 (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].
11.30/11.02	1131 $T # label(t8_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1132 $T # label(t14_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1133 (all A (v1_relat_1(A) -> (all B ((all C all D all E (r2_hidden(D,B) & r2_hidden(k4_tarski(C,D),A) & r2_hidden(k4_tarski(D,E),A) & r2_hidden(E,B) & r2_hidden(C,B) -> r2_hidden(k4_tarski(C,E),A))) <-> r8_relat_2(A,B))))) # label(d8_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1134 (all A (v1_relat_1(A) -> (v8_relat_2(A) & v3_relat_2(A) -> v1_relat_2(A)))) # label(t22_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1135 (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].
11.30/11.02	1136 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (v4_relat_2(A) -> v4_relat_2(k4_xboole_0(A,B)) & v4_relat_2(k3_xboole_0(A,B))))))) # label(t41_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1137 (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].
11.30/11.02	1138 (all A (v1_relat_1(A) -> (r5_relat_2(A,k3_relat_1(A)) <-> v5_relat_2(A)))) # label(d13_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1139 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (v5_relat_2(B) & v5_relat_2(A) -> v5_relat_2(k3_xboole_0(A,B))))))) # label(t37_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1140 (all A (v1_relat_1(A) -> (all B ((all C all D -(r2_hidden(D,B) & -r2_hidden(k4_tarski(D,C),A) & -r2_hidden(k4_tarski(C,D),A) & r2_hidden(C,B))) <-> r7_relat_2(A,B))))) # label(d7_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1141 (all A (v1_relat_1(A) -> (v5_relat_2(A) -> v2_relat_2(A) & v4_relat_2(A)))) # label(t26_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1142 (all A (v1_relat_1(A) -> (v8_relat_2(A) & v2_relat_2(A) -> v5_relat_2(A)))) # label(t25_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1143 $T # label(t5_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1144 (all A (v1_relat_1(A) -> (all B (r2_relat_2(A,B) <-> (all C -(r2_hidden(C,B) & r2_hidden(k4_tarski(C,C),A))))))) # label(d2_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1145 $T # label(t1_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1146 $T # label(t15_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1147 (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].
11.30/11.02	1148 (all A (v1_relat_1(A) -> (v4_relat_2(A) <-> r4_relat_2(A,k3_relat_1(A))))) # label(d12_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1149 (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].
11.30/11.02	1150 (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].
11.30/11.02	1151 (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].
11.30/11.02	1152 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (v2_relat_2(A) & v2_relat_2(B) -> 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].
11.30/11.02	1153 (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].
11.30/11.02	1154 (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].
11.30/11.02	1155 (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].
11.30/11.02	1156 (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].
11.30/11.02	1157 (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))) <-> r3_relat_2(A,B))))) # label(d3_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1158 $T # label(t6_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1159 (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].
11.30/11.02	1160 (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].
11.30/11.02	1161 (all A (v1_relat_1(A) -> (all B (r4_relat_2(A,B) <-> (all C all D (r2_hidden(C,B) & r2_hidden(k4_tarski(D,C),A) & r2_hidden(k4_tarski(C,D),A) & r2_hidden(D,B) -> C = D)))))) # label(d4_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1162 (all A (v1_relat_1(A) -> (r1_tarski(k4_xboole_0(k2_zfmisc_1(k3_relat_1(A),k3_relat_1(A)),k6_relat_1(k3_relat_1(A))),k2_xboole_0(A,k4_relat_1(A))) <-> v6_relat_2(A)))) # label(t45_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1163 $T # label(t7_relat_2) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1164 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v3_ordinal1(k1_relat_1(A)) -> m1_ordinal1(A,k2_relat_1(A))))) # label(t46_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1165 (all A (v3_ordinal1(A) -> v3_ordinal1(k3_tarski(A)) & v2_ordinal1(k3_tarski(A)) & v1_ordinal1(k3_tarski(A)))) # label(fc4_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1166 $T # label(t17_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1167 (all A m1_ordinal1(k1_xboole_0,A)) # label(t45_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1168 (all A (v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) -> v1_ordinal1(k1_relat_1(A)) & v3_ordinal1(k1_relat_1(A)) & v2_ordinal1(k1_relat_1(A)))) # label(fc5_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1169 (all A r2_hidden(A,k1_ordinal1(A))) # label(t10_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1170 (all A all B (k1_ordinal1(B) = k1_ordinal1(A) -> B = A)) # label(t12_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1171 (all A (v1_xboole_0(A) -> v3_ordinal1(A) & v2_ordinal1(A) & v1_ordinal1(A))) # label(cc3_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1172 (all A all B (v3_ordinal1(B) -> (r2_hidden(A,B) -> v3_ordinal1(A)))) # label(t23_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1173 (exists A (v3_ordinal1(A) & p1_s1_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].
11.30/11.02	1174 (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].
11.30/11.02	1175 (all A all B (v3_ordinal1(A) & v3_ordinal1(B) -> r1_ordinal1(A,B) | r1_ordinal1(B,A))) # label(connectedness_r1_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1176 $T # label(t20_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1177 (all A all B (r2_hidden(A,k1_ordinal1(B)) <-> r2_hidden(A,B) | A = B)) # label(t13_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1178 (all A -(all B (r2_hidden(B,A) <-> v3_ordinal1(B)))) # label(t37_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1179 $T # label(d5_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1180 (all A ((all B (r2_hidden(B,A) -> r1_tarski(B,A))) <-> v1_ordinal1(A))) # label(d2_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1181 (all A all B (v3_ordinal1(B) -> -(r1_tarski(A,B) & (all C (v3_ordinal1(C) -> -((all D (v3_ordinal1(D) -> (r2_hidden(D,A) -> r1_ordinal1(C,D)))) & r2_hidden(C,A)))) & A != k1_xboole_0))) # label(t32_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1182 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> r3_xboole_0(A,B))))) # label(t25_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1183 (all A ((all B (r2_hidden(B,A) -> r1_tarski(B,A) & v3_ordinal1(B))) -> v3_ordinal1(A))) # label(t31_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1184 (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].
11.30/11.02	1185 $T # label(t1_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1186 (all A (v3_ordinal1(A) <-> v1_ordinal1(A) & v2_ordinal1(A))) # label(d4_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1187 $T # label(t18_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1188 (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].
11.30/11.02	1189 k1_relat_1(f3_s3_ordinal1) = f1_s3_ordinal1 & 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)))))) & (all A (v3_ordinal1(A) -> (all B (v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) -> (B = k2_ordinal1(f3_s3_ordinal1,A) & r2_hidden(A,f1_s3_ordinal1) -> k1_funct_1(f3_s3_ordinal1,A) = f2_s3_ordinal1(B)))))) -> f3_s3_ordinal1 = f4_s3_ordinal1 # label(s3_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1190 (all A (v6_ordinal1(A) & (all B (r2_hidden(B,A) -> v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B))) -> 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].
11.30/11.02	1191 $T # label(t9_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1192 $T # label(t8_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1193 (all A (v3_ordinal1(A) -> v3_ordinal1(k3_tarski(A)))) # label(t30_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1194 (all A (v3_ordinal1(A) -> v1_ordinal1(A) & v2_ordinal1(A))) # label(cc1_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1195 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r1_ordinal1(k1_ordinal1(A),B) <-> r2_hidden(A,B)))))) # label(t33_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1196 (all A (v6_ordinal1(A) <-> (all B all C (r2_hidden(C,A) & r2_hidden(B,A) -> r3_xboole_0(B,C))))) # label(d9_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1197 (all A (v3_ordinal1(A) -> (r2_hidden(A,k1_relat_1(f1_s5_ordinal1)) -> k1_funct_1(f1_s5_ordinal1,A) = f2_s5_ordinal1(A)))) & (all A (v3_ordinal1(A) -> (all B (f2_s5_ordinal1(A) = B <-> (exists C (v1_relat_1(C) & f3_s5_ordinal1(C) = B & (all D (v3_ordinal1(D) -> (r2_hidden(D,A) -> k1_funct_1(C,D) = f3_s5_ordinal1(k2_ordinal1(C,D))))) & A = k1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C))))))) -> (all A (v3_ordinal1(A) -> (r2_hidden(A,k1_relat_1(f1_s5_ordinal1)) -> k1_funct_1(f1_s5_ordinal1,A) = f3_s5_ordinal1(k2_ordinal1(f1_s5_ordinal1,A))))) # label(s5_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1198 (all A (v3_ordinal1(A) -> v3_ordinal1(k1_ordinal1(A)))) # label(t29_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1199 $T # label(t11_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1200 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> -(-r2_hidden(A,B) & B != A & -r2_hidden(B,A)))))) # label(t24_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1201 $T # label(t28_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1202 $T # label(t16_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1203 (all A all B -(r2_hidden(A,B) & r1_tarski(B,A))) # label(t7_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1204 (exists A (v2_funct_1(A) & v1_xboole_0(A) & v1_ordinal1(A) & v3_ordinal1(A) & v2_ordinal1(A) & v1_funct_1(A) & v1_relat_1(A))) # label(rc2_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1205 (all A all B all C all D -(r2_hidden(C,D) & r2_hidden(D,A) & r2_hidden(B,C) & r2_hidden(A,B))) # label(t4_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1206 (all A all B (v1_relat_1(A) & v5_ordinal1(A) & v3_ordinal1(B) & v1_funct_1(A) -> k7_relat_1(A,B) = k2_ordinal1(A,B))) # label(redefinition_k2_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1207 (exists A (v1_relat_1(A) & v1_funct_1(A) & k1_relat_1(A) = f1_s4_ordinal1 & (all B (v3_ordinal1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) & v5_ordinal1(C) -> (C = k2_ordinal1(A,B) & r2_hidden(B,f1_s4_ordinal1) -> f2_s4_ordinal1(C) = k1_funct_1(A,B)))))) & v5_ordinal1(A))) # label(s4_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1208 (all A (v1_funct_1(A) & v1_relat_1(A) -> (v5_ordinal1(A) <-> v3_ordinal1(k1_relat_1(A))))) # label(d7_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1209 $T # label(dt_k1_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1210 (all A all B all C -(r2_hidden(B,C) & r2_hidden(C,A) & r2_hidden(A,B))) # label(t3_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1211 (all A -v1_xboole_0(k1_ordinal1(A))) # label(fc1_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1212 (all A -(all B (v3_ordinal1(B) -> r2_hidden(B,A)))) # label(t38_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1213 (all A (v2_ordinal1(A) <-> (all B all C -(r2_hidden(B,A) & r2_hidden(C,A) & -r2_hidden(B,C) & B != C & -r2_hidden(C,B))))) # label(d3_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1214 (all A (v4_ordinal1(A) <-> k3_tarski(A) = A)) # label(d6_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1215 (all A all B all C all D all E all F -(r2_hidden(F,A) & r2_hidden(E,F) & r2_hidden(D,E) & r2_hidden(C,D) & r2_hidden(B,C) & r2_hidden(A,B))) # label(t6_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1216 (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].
11.30/11.02	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].
11.30/11.02	1218 (all A all B (v3_ordinal1(B) & v3_ordinal1(A) -> (r1_tarski(A,B) <-> r1_ordinal1(A,B)))) # label(redefinition_r1_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1219 $T # label(t2_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1220 (all A exists B (v3_ordinal1(B) & -r2_hidden(B,A) & (all C (v3_ordinal1(C) -> (-r2_hidden(C,A) -> r1_ordinal1(B,C)))))) # label(t39_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1221 (exists A (v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & -v1_xboole_0(A))) # label(rc3_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1222 (all A k1_ordinal1(A) != A) # label(t14_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1223 (all A exists B m1_ordinal1(B,A)) # label(existence_m1_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1224 (all A all B (v5_ordinal1(B) & v1_funct_1(B) & v1_relat_1(B) -> (r1_tarski(k2_relat_1(B),A) <-> m1_ordinal1(B,A)))) # label(d8_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1225 (all A (v3_ordinal1(A) -> (v4_ordinal1(A) <-> (all B (v3_ordinal1(B) -> (r2_hidden(B,A) -> r2_hidden(k1_ordinal1(B),A))))))) # label(t41_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1226 (all A all B all C all D all E -(r2_hidden(A,B) & r2_hidden(B,C) & r2_hidden(E,A) & r2_hidden(D,E) & r2_hidden(C,D))) # label(t5_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1227 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> -(-r2_xboole_0(A,B) & -r2_xboole_0(B,A) & A != B))))) # label(t50_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1228 $T # label(t15_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1229 (all A k2_xboole_0(A,k1_tarski(A)) = k1_ordinal1(A)) # label(d1_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1230 (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].
11.30/11.02	1231 (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].
11.30/11.02	1232 $T # label(t40_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1233 (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].
11.30/11.02	1234 (all A all B (m1_ordinal1(B,A) -> v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B))) # label(dt_m1_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1235 (all A all B (v1_relat_1(A) & v5_ordinal1(A) & v3_ordinal1(B) & v1_funct_1(A) -> m1_ordinal1(k2_ordinal1(A,B),k2_relat_1(A)))) # label(dt_k2_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1236 (all A (v3_ordinal1(A) -> -(v4_ordinal1(A) & (exists B (A = k1_ordinal1(B) & v3_ordinal1(B)))) & -((all B (v3_ordinal1(B) -> A != k1_ordinal1(B))) & -v4_ordinal1(A)))) # label(t42_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1237 $T # label(t43_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1238 (exists A (v1_funct_1(A) & v5_ordinal1(A) & v1_relat_1(A))) # label(rc4_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1239 (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].
11.30/11.02	1240 $T # label(t44_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1241 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> r2_hidden(B,A) | r1_ordinal1(A,B))))) # label(t26_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1242 (exists A (v3_ordinal1(A) & v2_ordinal1(A) & v1_ordinal1(A))) # label(rc1_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1243 (all A (v2_ordinal1(A) & v1_ordinal1(A) -> v3_ordinal1(A))) # label(cc2_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1244 (all A (v1_ordinal1(A) -> (all B (v3_ordinal1(B) -> (all C (v3_ordinal1(C) -> (r2_hidden(B,C) & r1_tarski(A,B) -> r2_hidden(A,C)))))))) # label(t22_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1245 (all A (v3_ordinal1(A) -> v1_ordinal1(k1_ordinal1(A)) & v2_ordinal1(k1_ordinal1(A)) & v3_ordinal1(k1_ordinal1(A)) & -v1_xboole_0(k1_ordinal1(A)))) # label(fc3_ordinal1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1246 (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) -> (r1_tarski(k1_wellord1(C,A),k1_wellord1(C,B)) <-> r2_hidden(k4_tarski(A,B),C))))) # label(t37_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1247 (all A all B (v1_relat_1(B) -> k2_wellord1(k2_wellord1(B,A),A) = k2_wellord1(B,A))) # label(t28_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1248 (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].
11.30/11.02	1249 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (v2_wellord1(A) & r3_wellord1(A,B,C) -> v2_wellord1(B)))))))) # label(t54_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1250 $T # label(t46_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1251 (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].
11.30/11.02	1252 (all A all B all C all D (v1_relat_1(D) -> (all E (v1_relat_1(E) -> (v2_wellord1(D) & v2_wellord1(E) & r4_wellord1(k2_wellord1(D,k1_wellord1(D,A)),k2_wellord1(E,k1_wellord1(E,C))) & r4_wellord1(D,k2_wellord1(E,k1_wellord1(E,B))) & r2_hidden(C,k3_relat_1(E)) & r2_hidden(B,k3_relat_1(E)) & r2_hidden(A,k3_relat_1(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].
11.30/11.02	1253 (all A all B (v1_relat_1(B) -> k2_wellord1(B,A) = k7_relat_1(k8_relat_1(A,B),A))) # label(t17_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1254 $T # label(dt_k1_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1255 (all A (v1_relat_1(A) -> (v2_wellord1(A) -> (all B -(r2_hidden(B,k3_relat_1(A)) & r4_wellord1(A,k2_wellord1(A,k1_wellord1(A,B)))))))) # label(t57_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1256 $T # label(t56_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1257 (all A all B (v1_relat_1(B) -> k8_relat_1(A,k7_relat_1(B,A)) = k2_wellord1(B,A))) # label(t18_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1258 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (r4_wellord1(A,B) <-> (exists C (v1_relat_1(C) & v1_funct_1(C) & r3_wellord1(A,B,C)))))))) # label(d8_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1259 (all A all B all C (v1_relat_1(C) -> (r2_hidden(A,k3_relat_1(k2_wellord1(C,B))) -> r2_hidden(A,k3_relat_1(C)) & r2_hidden(A,B)))) # label(t19_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1260 (all A all B (v1_relat_1(B) -> (r2_wellord1(B,A) -> (all C -(r1_tarski(C,A) & k1_xboole_0 != C & (all D -(r2_hidden(D,C) & (all E (r2_hidden(E,C) -> r2_hidden(k4_tarski(D,E),B)))))))))) # label(t9_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1261 (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) -> (v8_relat_2(A) -> v8_relat_2(B)) & (v1_wellord1(A) -> v1_wellord1(B)) & (v4_relat_2(A) -> v4_relat_2(B)) & (v6_relat_2(A) -> v6_relat_2(B)) & (v1_relat_2(A) -> v1_relat_2(B))))))))) # label(t53_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1262 (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].
11.30/11.02	1263 (all A all B all C (v1_relat_1(C) -> ((all D (r2_hidden(D,k1_wellord1(C,A)) -> r2_hidden(k4_tarski(D,B),C) & B != D)) & r2_hidden(B,k3_relat_1(C)) & r2_hidden(A,k3_relat_1(C)) & v2_wellord1(C) -> r2_hidden(k4_tarski(A,B),C)))) # label(t42_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1264 (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].
11.30/11.02	1265 (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].
11.30/11.02	1266 (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].
11.30/11.02	1267 (all A (v1_relat_1(A) -> (all B ((all C -(r1_tarski(C,B) & C != k1_xboole_0 & (all D -(r2_hidden(D,C) & r1_xboole_0(k1_wellord1(A,D),C))))) <-> r1_wellord1(A,B))))) # label(d3_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1268 (all A (v1_relat_1(A) -> (v1_wellord1(A) <-> (all B -(B != k1_xboole_0 & (all C -(r2_hidden(C,B) & r1_xboole_0(k1_wellord1(A,C),B))) & r1_tarski(B,k3_relat_1(A))))))) # label(d2_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1269 $T # label(t44_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1270 (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) & v2_wellord1(A) -> (all D -(r2_hidden(D,k3_relat_1(A)) & (all E -(r2_hidden(E,k3_relat_1(B)) & k9_relat_1(C,k1_wellord1(A,D)) = k1_wellord1(B,E)))))))))))) # label(t60_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1271 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (k3_relat_1(A) = k1_relat_1(B) & r1_tarski(k2_relat_1(B),k3_relat_1(A)) & (all C all D (r2_hidden(k4_tarski(C,D),A) -> r2_hidden(k4_tarski(k1_funct_1(B,C),k1_funct_1(B,D)),A) & k1_funct_1(B,D) != k1_funct_1(B,C) | D = C)) & v2_wellord1(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].
11.30/11.02	1272 (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].
11.30/11.02	1273 $T # label(t4_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1274 (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].
11.30/11.02	1275 (all A all B all C (v1_relat_1(C) -> -(v2_wellord1(C) & r2_hidden(A,k3_relat_1(C)) & r4_wellord1(k2_wellord1(C,k1_wellord1(C,A)),k2_wellord1(C,k1_wellord1(C,B))) & B != A & r2_hidden(B,k3_relat_1(C))))) # label(t58_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1276 (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].
11.30/11.02	1277 (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].
11.30/11.02	1278 $T # label(t6_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1279 (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].
11.30/11.02	1280 (all A (v1_relat_1(A) -> A = k2_wellord1(A,k3_relat_1(A)))) # label(t30_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1281 (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))))) & k3_relat_1(A) != k1_xboole_0 & v2_wellord1(A)))) # label(t11_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1282 $T # label(t34_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1283 (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].
11.30/11.02	1284 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (v2_wellord1(A) -> (all C (v1_funct_1(C) & v1_relat_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].
11.30/11.02	1285 $T # label(t14_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1286 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (k2_relat_1(C) = k3_relat_1(B) & v2_funct_1(C) & (all D all E (r2_hidden(k4_tarski(k1_funct_1(C,D),k1_funct_1(C,E)),B) & r2_hidden(E,k3_relat_1(A)) & r2_hidden(D,k3_relat_1(A)) <-> r2_hidden(k4_tarski(D,E),A))) & k3_relat_1(A) = k1_relat_1(C) <-> r3_wellord1(A,B,C)))))))) # label(d7_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1287 $T # label(t3_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.02	1288 (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].
11.30/11.03	1289 (all A all B (v1_relat_1(B) -> k1_wellord1(B,A) = k1_xboole_0 | r2_hidden(A,k3_relat_1(B)))) # label(t2_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1290 (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].
11.30/11.03	1291 (all A all B all C (v1_relat_1(C) -> (r2_hidden(A,k2_zfmisc_1(B,B)) & r2_hidden(A,C) <-> r2_hidden(A,k2_wellord1(C,B))))) # label(t16_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1292 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> -(v2_wellord1(B) & (all C -(r4_wellord1(k2_wellord1(A,k1_wellord1(A,C)),B) & r2_hidden(C,k3_relat_1(A)))) & (all C -(r2_hidden(C,k3_relat_1(B)) & r4_wellord1(A,k2_wellord1(B,k1_wellord1(B,C))))) & -r4_wellord1(A,B) & v2_wellord1(A)))))) # label(t63_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1293 (all A all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (r1_tarski(A,k3_relat_1(B)) & r3_wellord1(B,C,D) & v2_wellord1(B) -> r4_wellord1(k2_wellord1(B,A),k2_wellord1(C,k9_relat_1(D,A))) & r3_wellord1(k2_wellord1(B,A),k2_wellord1(C,k9_relat_1(D,A)),k7_relat_1(D,A))))))))) # label(t59_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1294 (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].
11.30/11.03	1295 (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].
11.30/11.03	1296 (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].
11.30/11.03	1297 (all A all B (v1_relat_1(A) & v1_relat_1(B) -> v1_relat_1(k3_wellord1(A,B)) & v1_funct_1(k3_wellord1(A,B)))) # label(dt_k3_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1298 (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)) <-> B = A | r2_hidden(A,k1_wellord1(C,B)))))) # label(t38_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1299 (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_relat_1(E) & v1_funct_1(E) -> (r3_wellord1(B,C,E) & r3_wellord1(A,B,D) -> r3_wellord1(A,C,k5_relat_1(D,E))))))))))))) # label(t51_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1300 (all A all B (v1_relat_1(B) -> -(v2_wellord1(B) & (all C -(r2_hidden(C,k3_relat_1(B)) & r4_wellord1(k2_wellord1(B,k1_wellord1(B,C)),k2_wellord1(B,A)))) & -r4_wellord1(B,k2_wellord1(B,A)) & r1_tarski(A,k3_relat_1(B))))) # label(t64_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1301 (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) -> (all D all E (r2_hidden(k4_tarski(D,E),A) -> 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) | E = D))))))))) # label(t45_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1302 (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].
11.30/11.03	1303 (all A all B all C (v1_relat_1(C) -> (r2_hidden(A,k3_relat_1(C)) & r2_hidden(B,k1_wellord1(C,A)) & v2_wellord1(C) -> k1_wellord1(C,B) = k1_wellord1(k2_wellord1(C,k1_wellord1(C,A)),B)))) # label(t35_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1304 (all A (v1_relat_1(A) -> (v2_wellord1(A) -> (all B -(r2_hidden(B,k3_relat_1(A)) & (exists C (-r2_hidden(k4_tarski(C,B),A) & r2_hidden(C,k3_relat_1(A)))) & (all C -(r2_hidden(C,k3_relat_1(A)) & (all D -(r2_hidden(D,k3_relat_1(A)) & -r2_hidden(k4_tarski(C,D),A) & D != B & r2_hidden(k4_tarski(B,D),A))) & r2_hidden(k4_tarski(B,C),A))))) | k3_relat_1(A) = k1_xboole_0))) # label(t12_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1305 (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].
11.30/11.03	1306 (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].
11.30/11.03	1307 (all A all B (v1_relat_1(B) -> (r1_tarski(A,k3_relat_1(B)) & v2_wellord1(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].
11.30/11.03	1308 $T # label(t7_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1309 (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].
11.30/11.03	1310 (all A (v1_relat_1(A) -> (v2_wellord1(A) <-> r2_wellord1(A,k3_relat_1(A))))) # label(t8_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1311 (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].
11.30/11.03	1312 (all A all B (v1_relat_1(B) -> (r1_tarski(A,k3_relat_1(B)) & v2_wellord1(B) -> k3_relat_1(k2_wellord1(B,A)) = A))) # label(t39_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1313 $T # label(t1_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1314 (all A (v1_relat_1(A) -> (v2_wellord1(A) <-> v8_relat_2(A) & v4_relat_2(A) & v1_wellord1(A) & v6_relat_2(A) & v1_relat_2(A)))) # label(d4_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1315 (all A all B (v1_relat_1(B) -> (v2_wellord1(B) -> k1_wellord1(B,A) = k3_relat_1(k2_wellord1(B,k1_wellord1(B,A)))))) # label(t40_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1316 (all A (v1_relat_1(A) -> (all B (r1_relat_2(A,B) & r4_relat_2(A,B) & r1_wellord1(A,B) & r6_relat_2(A,B) & r8_relat_2(A,B) <-> r2_wellord1(A,B))))) # label(d5_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1317 (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))) & B != k1_xboole_0))))) # label(t10_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1318 (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].
11.30/11.03	1319 (all A (v1_relat_1(A) -> r4_wellord1(A,A))) # label(t48_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1320 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (v2_wellord1(A) & r4_wellord1(A,B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (k3_wellord1(A,B) = C <-> r3_wellord1(A,B,C))))))))) # label(d9_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1321 (all A (v1_relat_1(A) -> (all B all C (k1_wellord1(A,B) = C <-> (all D (r2_hidden(D,C) <-> r2_hidden(k4_tarski(D,B),A) & B != D)))))) # label(d1_wellord1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1322 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1323 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1324 (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].
11.30/11.03	1325 (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].
11.30/11.03	1326 (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].
11.30/11.03	1327 $T # label(t1_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1328 (all A m2_relset_1(k6_relat_1(A),A,A)) # label(t29_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1329 (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 (m1_subset_1(E,B) & r2_hidden(k4_tarski(E,D),C))) <-> r2_hidden(D,k5_relset_1(B,A,C))))))))))) # label(t48_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1330 (all A all B all C (m2_relset_1(C,B,A) -> (m2_relset_1(C,B,k1_xboole_0) -> k1_xboole_0 = C))) # label(t27_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1331 (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].
11.30/11.03	1332 (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) -> ((exists E (m1_subset_1(E,B) & r2_hidden(k4_tarski(D,E),C))) <-> r2_hidden(D,k4_relset_1(A,B,C))))))))))) # label(t47_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1333 $T # label(t41_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1334 (all A all B all C (m2_relset_1(C,B,A) -> k10_relset_1(B,A,C,k11_relset_1(B,A,C,A)) = k5_relset_1(B,A,C) & k11_relset_1(B,A,C,k10_relset_1(B,A,C,B)) = k4_relset_1(B,A,C))) # label(t39_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1335 (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].
11.30/11.03	1336 (all A all B all C (m1_relset_1(C,A,B) -> k2_relat_1(C) = k5_relset_1(A,B,C))) # label(redefinition_k5_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1337 (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].
11.30/11.03	1338 (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].
11.30/11.03	1339 (all A all B all C (m1_relset_1(C,A,B) -> k4_relat_1(C) = k6_relset_1(A,B,C))) # label(redefinition_k6_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1340 (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].
11.30/11.03	1341 (exists A (m2_relset_1(A,f1_s1_relset_1,f2_s1_relset_1) & (all B all C (p1_s1_relset_1(B,C) & r2_hidden(C,f2_s1_relset_1) & r2_hidden(B,f1_s1_relset_1) <-> r2_hidden(k4_tarski(B,C),A))))) # label(s1_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1342 (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].
11.30/11.03	1343 (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].
11.30/11.03	1344 (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].
11.30/11.03	1345 (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)) & (all E (m1_subset_1(E,B) -> -r2_hidden(E,k5_relset_1(A,B,C))))))))))))) # label(t49_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1346 (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].
11.30/11.03	1347 (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) -> (r2_hidden(k4_tarski(F,G),k7_relset_1(A,B,B,C,D,E)) <-> (exists H (r2_hidden(k4_tarski(H,G),E) & r2_hidden(k4_tarski(F,H),D) & m1_subset_1(H,B)))))))))))))))))) # label(t51_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1348 (all A all B all C (m1_relset_1(C,A,B) -> k6_relset_1(A,B,k6_relset_1(A,B,C)) = C)) # label(involutiveness_k6_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1349 $T # label(t3_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1350 (all A all B all C (m2_relset_1(C,A,B) -> k10_relset_1(A,B,C,A) = k5_relset_1(A,B,C) & k4_relset_1(A,B,C) = k11_relset_1(A,B,C,B))) # label(t38_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1351 (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].
11.30/11.03	1352 $T # label(t37_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1353 $T # label(t2_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1354 $T # label(t21_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1355 (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].
11.30/11.03	1356 (all A all B all C all D (m1_relset_1(D,A,B) & m1_relset_1(C,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].
11.30/11.03	1357 $T # label(t18_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1358 (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].
11.30/11.03	1359 (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)) & k4_relset_1(B,A,C) = B))) # label(t31_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1360 (all A all B all C all D (m1_relset_1(D,A,B) -> k9_relset_1(A,B,C,D) = k8_relat_1(C,D))) # label(redefinition_k9_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1361 (all A all B m2_relset_1(k1_xboole_0,A,B)) # label(t25_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1362 (all A all B all C (v1_relat_1(C) -> (r1_tarski(k1_relat_1(C),A) & r1_tarski(k2_relat_1(C),B) -> m2_relset_1(C,A,B)))) # label(t11_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1363 (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].
11.30/11.03	1364 (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].
11.30/11.03	1365 (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) -> (r2_hidden(E,k11_relset_1(A,C,D,B)) <-> (exists F (r2_hidden(F,B) & r2_hidden(k4_tarski(E,F),D) & m1_subset_1(F,C)))))))))))))) # label(t53_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1366 (all A all B all C (m2_relset_1(C,B,A) -> (k4_relset_1(B,A,C) = B <-> (all D -(r2_hidden(D,B) & (all E -r2_hidden(k4_tarski(D,E),C))))))) # label(t22_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1367 (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].
11.30/11.03	1368 (all A r1_tarski(k6_relat_1(A),k2_zfmisc_1(A,A))) # label(t28_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1369 $T # label(t7_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1370 (all A all B all C all D (m1_relset_1(C,A,B) & m1_relset_1(D,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].
11.30/11.03	1371 (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].
11.30/11.03	1372 (all A (-v1_xboole_0(A) -> k6_relat_1(A) != k1_xboole_0)) # label(t46_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1373 $T # label(t40_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1374 (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].
11.30/11.03	1375 (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].
11.30/11.03	1376 $T # label(t20_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1377 (exists A ((all B (m1_subset_1(B,f1_s2_relset_1) -> (all C (m1_subset_1(C,f2_s2_relset_1) -> (r2_hidden(k4_tarski(B,C),A) <-> p1_s2_relset_1(B,C)))))) & m2_relset_1(A,f1_s2_relset_1,f2_s2_relset_1))) # label(s2_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1378 (all A all B all C (m2_relset_1(C,A,B) -> k4_relset_1(B,A,k6_relset_1(A,B,C)) = k5_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].
11.30/11.03	1379 (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].
11.30/11.03	1380 $T # label(t5_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1381 $T # label(t44_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1382 (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].
11.30/11.03	1383 (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) -> (r2_hidden(E,k10_relset_1(C,A,D,B)) <-> (exists F (r2_hidden(F,B) & r2_hidden(k4_tarski(F,E),D) & m1_subset_1(F,C)))))))))))))) # label(t52_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1384 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1385 (all A all B all C (m2_relset_1(C,A,B) -> (r1_tarski(k6_relat_1(B),C) -> B = k5_relset_1(A,B,C) & r1_tarski(B,k4_relset_1(A,B,C))))) # label(t32_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1386 (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].
11.30/11.03	1387 (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,C) = C)) # label(idempotence_k1_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1388 (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,C) = C)) # label(idempotence_k2_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1389 $T # label(t42_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1390 (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].
11.30/11.03	1391 (all A all B all C all D (m1_relset_1(C,A,B) -> k10_relset_1(A,B,C,D) = k9_relat_1(C,D))) # label(redefinition_k10_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1392 (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].
11.30/11.03	1393 (all A all B all C (m2_relset_1(C,A,B) <-> m1_relset_1(C,A,B))) # label(redefinition_m2_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1394 (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].
11.30/11.03	1395 (all A all B all C (r1_tarski(C,k2_zfmisc_1(A,B)) <-> m1_relset_1(C,A,B))) # label(d1_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1396 (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].
11.30/11.03	1397 (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].
11.30/11.03	1398 (all A all B (m2_relset_1(B,A,A) -> B = k5_relat_1(k6_relat_1(A),B) & k5_relat_1(B,k6_relat_1(A)) = B)) # label(t45_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1399 $T # label(t43_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1400 (all A all B all C all D (m1_relset_1(D,A,B) & m1_relset_1(C,A,B) -> k3_relset_1(A,B,C,D) = k4_xboole_0(C,D))) # label(redefinition_k3_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1401 (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].
11.30/11.03	1402 (all A all B all C all D (m1_relset_1(C,A,B) -> k8_relset_1(A,B,C,D) = k7_relat_1(C,D))) # label(redefinition_k8_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1403 (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].
11.30/11.03	1404 (all A all B all C all D (m2_relset_1(D,A,B) -> -(r2_hidden(C,D) & (all E all F -(r2_hidden(F,B) & r2_hidden(E,A) & C = k4_tarski(E,F)))))) # label(t6_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1405 (all A all B all C all D all E all F (m1_relset_1(E,A,B) & m1_relset_1(F,C,D) -> 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].
11.30/11.03	1406 (all A all B all C (m1_relset_1(C,A,B) -> k1_relat_1(C) = k4_relset_1(A,B,C))) # label(redefinition_k4_relset_1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1407 (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].
11.30/11.03	1408 (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].
11.30/11.03	1409 (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].
11.30/11.03	1410 (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].
11.30/11.03	1411 $T # label(t100_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1412 (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].
11.30/11.03	1413 (all A all B all C (m2_relset_1(C,A,k1_xboole_0) & v1_funct_1(C) -> k10_relat_1(C,B) = k1_xboole_0)) # label(t68_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1414 $T # label(t177_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1415 (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].
11.30/11.03	1416 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> ((exists C (v1_relat_1(C) & v1_funct_1(C) & C = k2_xboole_0(A,B))) <-> r1_partfun1(A,B)))))) # label(t130_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1417 (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) -> v1_funct_1(k1_partfun1(A,B,C,D,E,F)) & m2_relset_1(k1_partfun1(A,B,C,D,E,F),A,D))) # label(dt_k1_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1418 $T # label(t111_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1419 $T # label(t98_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1420 (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].
11.30/11.03	1421 (all A all B all C (v1_funct_1(C) & v1_relat_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].
11.30/11.03	1422 (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) -> (r2_hidden(D,k5_partfun1(A,B,C)) -> v1_partfun1(D,A,B)))))) # label(t169_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1423 (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].
11.30/11.03	1424 (all A all B all C all D all E (v1_funct_1(E) & m2_relset_1(E,A,B) -> (r1_tarski(A,C) & r1_tarski(B,D) -> m2_relset_1(E,C,D) & v1_funct_1(E)))) # label(t32_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1425 $T # label(t17_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1426 $T # label(t5_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1427 (all A all B all C (C = k4_partfun1(A,B) <-> (all D (r2_hidden(D,C) <-> (exists E (v1_funct_1(E) & r1_tarski(k2_relat_1(E),B) & r1_tarski(k1_relat_1(E),A) & E = D & v1_relat_1(E))))))) # label(d5_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1428 $T # label(t11_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1429 $T # label(t88_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1430 (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].
11.30/11.03	1431 (all A all B all C all D (v1_funct_1(D) & m2_relset_1(D,A,B) -> -(r2_hidden(C,k9_relat_1(D,A)) & (all E (m1_subset_1(E,A) -> -(k1_funct_1(D,E) = C & r2_hidden(E,k4_relset_1(A,B,D)))))))) # label(t49_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1432 (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].
11.30/11.03	1433 $T # label(t170_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1434 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> k10_relat_1(C,B) = k4_relset_1(A,B,C))) # label(t53_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1435 $T # label(t173_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1436 $T # label(t137_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1437 $T # label(t103_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1438 $T # label(t108_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1439 (all A all B all C all D (v1_funct_1(D) & m2_relset_1(D,k1_tarski(A),B) -> r1_tarski(k9_relat_1(D,C),k1_tarski(k1_funct_1(D,A))))) # label(t71_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1440 (all A all B all C (m2_relset_1(C,A,B) -> (v1_partfun1(C,A,B) <-> k4_relset_1(A,B,C) = A))) # label(d4_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1441 (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)) -> (k4_relset_1(A,k1_tarski(B),C) = k4_relset_1(A,k1_tarski(B),D) -> D = C))))) # label(t74_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1442 $T # label(t163_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1443 (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].
11.30/11.03	1444 $T # label(t150_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1445 (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].
11.30/11.03	1446 $T # label(t151_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1447 $T # label(t183_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1448 $T # label(t159_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1449 $T # label(t152_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1450 (all A all B (v1_funct_1(B) & m2_relset_1(B,k1_xboole_0,A) -> k1_tarski(k1_xboole_0) = k5_partfun1(k1_xboole_0,A,B))) # label(t176_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1451 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,k1_xboole_0) -> (all D (m2_relset_1(D,B,k1_xboole_0) & v1_funct_1(D) -> C = D)))) # label(t65_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1452 (all A all B all C all D (v1_relat_1(D) & v1_funct_1(D) -> k3_partfun1(D,k3_xboole_0(A,C),B) = k2_partfun1(A,B,k3_partfun1(D,A,B),C))) # label(t96_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1453 $T # label(t6_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1454 (all A (v1_relat_1(A) & v3_relat_2(A) & v8_relat_2(A) -> v1_relat_2(A) & v1_relat_1(A))) # label(cc1_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1455 (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) -> k2_xboole_0(A,B) != C)) & (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].
11.30/11.03	1456 (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].
11.30/11.03	1457 $T # label(t90_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1458 (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) -> k5_relat_1(E,F) = k1_partfun1(A,B,C,D,E,F))) # label(redefinition_k1_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1459 (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].
11.30/11.03	1460 (all A all B all C all D (v1_funct_1(D) & v1_relat_1(D) -> (r2_hidden(A,B) & r2_hidden(k1_funct_1(D,A),C) & r2_hidden(A,k1_relat_1(D)) -> k1_funct_1(D,A) = k1_funct_1(k3_partfun1(D,B,C),A)))) # label(t79_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1461 (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) -> -(r1_xboole_0(k5_partfun1(A,B,C),k5_partfun1(A,B,D)) & r1_partfun1(C,D) & (B = k1_xboole_0 -> k1_xboole_0 = A)))))) # label(t186_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1462 (all A k6_relat_1(A) = k6_partfun1(A)) # label(redefinition_k6_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1463 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> v1_funct_1(k7_relat_1(k8_relat_1(A,C),B)) & m2_relset_1(k7_relat_1(k8_relat_1(A,C),B),B,A))) # label(t47_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1464 (all A all B all C all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> v1_funct_1(k8_relset_1(A,B,D,C)) & m2_relset_1(k8_relset_1(A,B,D,C),C,B))) # label(t43_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1465 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(k1_relat_1(C),A) & r1_tarski(k2_relat_1(C),B) -> k3_partfun1(C,A,B) = C))) # label(t85_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1466 (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].
11.30/11.03	1467 (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 (r2_hidden(E,D) <-> (exists F (v1_funct_1(F) & E = F & v1_partfun1(F,A,B) & r1_partfun1(C,F) & m2_relset_1(F,A,B))))))))) # label(d7_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1468 (all A all B all C (m1_subset_1(C,k4_partfun1(A,B)) -> v1_funct_1(C) & m2_relset_1(C,A,B))) # label(t121_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1469 (all A all B all C (v1_funct_1(C) & v1_relat_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].
11.30/11.03	1470 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,k1_xboole_0,A) -> k1_xboole_0 = k9_relat_1(C,B))) # label(t60_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1471 (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].
11.30/11.03	1472 (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(k3_partfun1(C,A,B),k3_partfun1(D,A,B))))))) # label(t81_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1473 (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 (v1_relat_1(E) & v1_funct_1(E) -> (r1_partfun1(C,E) & r1_tarski(D,C) -> r1_partfun1(D,E)))))))) # label(t140_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1474 (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].
11.30/11.03	1475 (all A all B (v1_funct_1(B) & m2_relset_1(B,k1_xboole_0,A) -> v1_partfun1(B,k1_xboole_0,A))) # label(t112_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1476 $T # label(t14_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1477 $T # label(t22_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1478 (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) -> -(r2_hidden(E,k4_relset_1(A,B,D)) & C = k1_funct_1(D,E))))))) # label(t26_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1479 $T # label(t4_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1480 (all A all B (v1_funct_1(B) & m2_relset_1(B,k1_xboole_0,A) -> k4_relset_1(k1_xboole_0,A,B) = k1_xboole_0 & k1_xboole_0 = k2_relat_1(B))) # label(t54_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1481 $T # label(t105_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1482 (all A all B all C all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> v1_funct_1(k8_relset_1(A,B,D,C)) & m2_relset_1(k8_relset_1(A,B,D,C),A,B))) # label(t44_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1483 (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,A,C),k3_partfun1(D,B,C))))) # label(t82_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1484 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> ((exists C (r1_tarski(B,C) & r1_tarski(A,C) & v1_funct_1(C) & v1_relat_1(C))) <-> r1_partfun1(A,B)))))) # label(t131_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1485 $T # label(dt_k5_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1486 $T # label(t157_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1487 (all A all B all C all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> (r1_tarski(A,C) -> v1_funct_1(D) & m2_relset_1(D,C,B)))) # label(t30_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1488 $T # label(t161_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1489 (all A all B all C all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> 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].
11.30/11.03	1490 (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)) -> k1_funct_1(D,C) = B))) # label(t73_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.03	1491 (all A all B all C all D (r2_hidden(A,f1_s4_partfun1) & r2_hidden(B,f2_s4_partfun1) & p1_s4_partfun1(A,B,C) & p1_s4_partfun1(A,B,D) -> D = C)) & (all A all B all C (r2_hidden(B,f2_s4_partfun1) & p1_s4_partfun1(A,B,C) & r2_hidden(A,f1_s4_partfun1) -> r2_hidden(C,f3_s4_partfun1))) -> (exists A (v1_funct_1(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)) <-> (exists D p1_s4_partfun1(B,C,D)) & r2_hidden(C,f2_s4_partfun1) & r2_hidden(B,f1_s4_partfun1))) & (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))))) & m2_relset_1(A,k2_zfmisc_1(f1_s4_partfun1,f2_s4_partfun1),f3_s4_partfun1))) # label(s4_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1492 (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) -> (k4_relset_1(A,B,C) = k4_relset_1(A,B,D) & (all E (m1_subset_1(E,A) -> (r2_hidden(E,k4_relset_1(A,B,C)) -> k1_funct_1(D,E) = k1_funct_1(C,E)))) -> C = D))))) # label(t34_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1493 $T # label(t165_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1494 (all A (v1_relat_1(A) & v1_funct_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].
11.30/11.04	1495 $T # label(t89_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1496 (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].
11.30/11.04	1497 (all A all B exists C (m1_relset_1(C,A,B) & v1_relat_1(C) & v1_funct_1(C))) # label(rc2_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1498 (all A all B (v1_funct_1(B) & m2_relset_1(B,k1_xboole_0,A) -> v2_funct_1(B))) # label(t59_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1499 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,k1_tarski(B)) -> (all D (m2_relset_1(D,A,k1_tarski(B)) & v1_funct_1(D) -> r1_partfun1(C,D))))) # label(t143_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1500 (all A all B all C (m2_relset_1(C,k1_xboole_0,A) & v1_funct_1(C) -> (all D (m2_relset_1(D,k1_xboole_0,B) & v1_funct_1(D) -> D = C)))) # label(t58_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1501 (all A all B all C all D (v1_relat_1(D) & v1_funct_1(D) -> (all E (v1_relat_1(E) & v1_funct_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].
11.30/11.04	1502 $T # label(t107_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1503 $T # label(t15_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1504 (exists A (v2_funct_1(A) & v1_xboole_0(A) & v1_funct_1(A) & v1_relat_1(A))) # label(rc1_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1505 (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,C,A),k3_partfun1(D,C,B))))) # label(t83_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1506 $T # label(t104_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1507 $T # label(t166_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1508 $T # label(t21_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1509 (all A k1_tarski(k1_xboole_0) = k4_partfun1(A,k1_xboole_0)) # label(t123_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1510 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (k1_xboole_0 = k2_relat_1(C) -> m2_relset_1(C,A,B) & v1_funct_1(C)))) # label(t63_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1511 (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].
11.30/11.04	1512 $T # label(t118_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1513 (exists A (v1_relat_1(A) & (all B (r2_hidden(B,f1_s1_partfun1) -> (-p1_s1_partfun1(B) -> k1_funct_1(A,B) = f3_s1_partfun1(B)) & (p1_s1_partfun1(B) -> f2_s1_partfun1(B) = k1_funct_1(A,B)))) & f1_s1_partfun1 = k1_relat_1(A) & v1_funct_1(A))) # label(s1_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1514 (all A all B all C (m2_relset_1(C,A,B) -> C = k5_relat_1(C,k6_relat_1(B)))) # label(t37_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1515 $T # label(t12_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1516 (all A (v1_partfun1(k6_partfun1(A),A,A) & m2_relset_1(k6_partfun1(A),A,A))) # label(dt_k6_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1517 (all A all B all C (p1_s2_partfun1(A,C) & p1_s2_partfun1(A,B) & r2_hidden(A,f1_s2_partfun1) -> C = B)) & (all A all B (p1_s2_partfun1(A,B) & r2_hidden(A,f1_s2_partfun1) -> 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 (r2_hidden(B,k4_relset_1(f1_s2_partfun1,f2_s2_partfun1,A)) <-> (exists C p1_s2_partfun1(B,C)) & r2_hidden(B,f1_s2_partfun1))))) # label(s2_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1518 (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].
11.30/11.04	1519 $T # label(t9_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1520 (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].
11.30/11.04	1521 $T # label(t154_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1522 (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) -> (C = k2_xboole_0(A,B) -> (all D (r2_hidden(D,k3_xboole_0(k1_relat_1(A),k1_relat_1(B))) -> k1_funct_1(A,D) = k1_funct_1(B,D)))))))))) # label(t3_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1523 $T # label(t160_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1524 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (r2_hidden(D,k5_partfun1(A,B,C)) -> r1_partfun1(C,D)))))) # label(t171_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1525 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (k1_relat_1(C) = k1_xboole_0 -> m2_relset_1(C,A,B) & v1_funct_1(C)))) # label(t55_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1526 $T # label(t181_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1527 $T # label(d2_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1528 (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) -> v1_funct_1(D) & m2_relset_1(D,C,B)))) # label(t28_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1529 $T # label(dt_k4_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1530 (all A all B (p1_s5_partfun1(A,B) -> r2_hidden(f4_s5_partfun1(A,B),f3_s5_partfun1))) -> (exists A ((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)))) & (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)) -> k1_funct_1(A,k4_tarski(B,C)) = f4_s5_partfun1(B,C))) & m2_relset_1(A,k2_zfmisc_1(f1_s5_partfun1,f2_s5_partfun1),f3_s5_partfun1) & v1_funct_1(A))) # label(s5_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1531 (all A (v1_relat_1(A) & v1_funct_1(A) -> k3_partfun1(A,k1_relat_1(A),k2_relat_1(A)) = A)) # label(t86_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1532 (all A all B -v1_xboole_0(k4_partfun1(A,B))) # label(fc1_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1533 $T # label(t124_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1534 (all A all B (v1_funct_1(B) & m2_relset_1(B,k1_xboole_0,A) -> B = k1_xboole_0)) # label(t57_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1535 $T # label(t182_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1536 (all A (v1_relat_2(k6_relat_1(A)) & v3_relat_2(k6_relat_1(A)) & v4_relat_2(k6_relat_1(A)) & v8_relat_2(k6_relat_1(A)) & v1_funct_1(k6_relat_1(A)) & v1_relat_1(k6_relat_1(A)))) # label(fc2_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1537 (all A all B all C all D all E all F (r1_tarski(A,k2_zfmisc_1(B,C)) & r1_tarski(D,k2_zfmisc_1(E,F)) -> 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].
11.30/11.04	1538 $T # label(t110_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1539 (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].
11.30/11.04	1540 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> (v2_funct_1(C) -> m2_relset_1(k2_funct_1(C),B,A) & v1_funct_1(k2_funct_1(C))))) # label(t39_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1541 (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].
11.30/11.04	1542 $T # label(t18_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1543 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> r1_partfun1(k7_relat_1(k8_relat_1(A,C),B),C))) # label(t146_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1544 $T # label(t48_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1545 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> r2_hidden(C,k4_partfun1(A,B)))) # label(t119_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1546 (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].
11.30/11.04	1547 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_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].
11.30/11.04	1548 $T # label(t8_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1549 (all A all B (m2_relset_1(B,A,k1_xboole_0) & v1_funct_1(B) -> B = k1_xboole_0)) # label(t64_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1550 (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(B))) # label(t175_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1551 $T # label(t155_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1552 (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)) & k1_funct_1(C,D) = k1_funct_1(C,E) & r2_hidden(E,k4_relset_1(A,B,C)) -> E = D))))) -> v2_funct_1(C)))) # label(t38_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1553 (all A (v1_relat_1(A) & v1_funct_1(A) -> v1_funct_1(A) & m2_relset_1(A,k1_relat_1(A),k2_relat_1(A)))) # label(t24_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1554 $T # label(t50_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1555 $T # label(t184_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1556 (all A all B all C all D (v1_relat_1(D) & v1_funct_1(D) -> (r2_hidden(A,k4_relset_1(B,C,k3_partfun1(D,B,C))) -> k1_funct_1(D,A) = k1_funct_1(k3_partfun1(D,B,C),A)))) # label(t80_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1557 (all A all B k1_xboole_0 = k3_partfun1(k1_xboole_0,A,B)) # label(t91_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1558 (all A all B (v1_relat_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_funct_1(A) -> r1_partfun1(A,A))) # label(reflexivity_r1_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1559 $T # label(t75_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.30/11.04	1560 (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].
11.36/11.04	1561 $T # label(t133_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1562 (all A all B all C all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> (r1_tarski(B,C) -> v1_funct_1(D) & m2_relset_1(D,A,C)))) # label(t31_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1563 $T # label(t13_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1564 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> (k1_xboole_0 = B & v1_partfun1(C,A,B) -> k1_xboole_0 = A))) # label(t99_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1565 (all A all B all C all D (v1_funct_1(D) & m2_relset_1(D,A,B) -> (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].
11.36/11.04	1566 (all A all B all C all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> (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].
11.36/11.04	1567 (all A all B all C all D (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) -> (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(D,k4_tarski(F,G)) = k1_funct_1(E,k4_tarski(F,G)))) -> D = E))))) # label(t35_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1568 (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(C,E) & r1_partfun1(D,E)))) & r1_partfun1(C,D) & (k1_xboole_0 = B -> A = k1_xboole_0)))))) # label(t162_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1569 (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].
11.36/11.04	1570 $T # label(t40_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1571 (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_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].
11.36/11.04	1572 $T # label(d1_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1573 $T # label(t109_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1574 $T # label(t179_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1575 $T # label(t102_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1576 $T # label(t129_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1577 (all A all B (v1_funct_1(B) & m2_relset_1(B,A,k1_xboole_0) -> (k1_xboole_0 != A -> k5_partfun1(A,k1_xboole_0,B) = k1_xboole_0))) # label(t172_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1578 $T # label(t23_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1579 (all A all B (v1_funct_1(A) & v1_funct_1(B) & v1_relat_1(B) & v1_relat_1(A) -> (r1_partfun1(A,B) -> r1_partfun1(B,A)))) # label(symmetry_r1_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1580 (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].
11.36/11.04	1581 (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].
11.36/11.04	1582 (all A all B (v1_partfun1(k3_partfun1(k1_xboole_0,A,B),A,B) -> k1_xboole_0 = A)) # label(t114_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1583 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,k1_xboole_0) -> k9_relat_1(C,B) = k1_xboole_0)) # label(t67_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1584 (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_partfun1(D,A,B) & r1_partfun1(C,D) & v1_partfun1(C,A,B) -> D = C))))) # label(t148_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1585 (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(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].
11.36/11.04	1586 (all A k4_partfun1(k1_xboole_0,A) = k1_tarski(k1_xboole_0)) # label(t122_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1587 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (r1_partfun1(A,B) & k1_relat_1(A) = k1_relat_1(B) -> B = A))))) # label(t136_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1588 $T # label(t164_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1589 (all A all B all C (v1_relat_1(A) & v1_funct_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].
11.36/11.04	1590 (all A all B all C (m2_relset_1(C,k1_xboole_0,A) & v1_funct_1(C) -> k1_xboole_0 = k10_relat_1(C,B))) # label(t61_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1591 (all A all B all C all D (v1_funct_1(D) & v1_relat_1(D) -> (k1_relat_1(D) = k1_tarski(A) & r2_hidden(k1_funct_1(D,A),C) & r2_hidden(A,B) -> m2_relset_1(D,B,C) & v1_funct_1(D)))) # label(t72_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1592 $T # label(t134_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1593 $T # label(t180_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1594 $T # label(t52_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1595 (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].
11.36/11.04	1596 (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].
11.36/11.04	1597 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C k7_relat_1(k8_relat_1(C,A),B) = k3_partfun1(A,B,C)))) # label(d3_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1598 $T # label(t42_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1599 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> (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].
11.36/11.04	1600 (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].
11.36/11.04	1601 $T # label(t178_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1602 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_tarski(k2_relat_1(B),A) -> m2_relset_1(B,k1_relat_1(B),A) & v1_funct_1(B)))) # label(t25_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1603 (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].
11.36/11.04	1604 (all A all B all C (v1_funct_1(C) & v1_relat_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].
11.36/11.04	1605 $T # label(t7_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1606 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> r1_tarski(k2_relat_1(k3_partfun1(C,A,B)),k2_relat_1(C)) & r1_tarski(k4_relset_1(A,B,k3_partfun1(C,A,B)),k1_relat_1(C)))) # label(t77_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1607 $T # label(t101_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1608 (all A all B (m2_relset_1(B,A,k1_xboole_0) & v1_funct_1(B) -> k1_xboole_0 = k4_relset_1(A,k1_xboole_0,B) & k2_relat_1(B) = k1_xboole_0)) # label(t62_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1609 $T # label(t19_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1610 (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].
11.36/11.04	1611 $T # label(t156_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1612 (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)) -> f3_s3_partfun1(B) = k1_funct_1(A,B))) & (all B (r2_hidden(B,f1_s3_partfun1) & p1_s3_partfun1(B) <-> 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].
11.36/11.04	1613 $T # label(t41_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1614 $T # label(t16_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1615 (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,k1_relat_1(D)) & r2_hidden(k1_funct_1(D,A),C) & r2_hidden(A,B)))) # label(t78_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1616 $T # label(t106_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1617 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> r1_partfun1(k7_relat_1(B,A),B))) # label(t144_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1618 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (r1_tarski(k1_relat_1(A),k1_relat_1(B)) -> (r1_partfun1(A,B) <-> (all C (r2_hidden(C,k1_relat_1(A)) -> k1_funct_1(B,C) = k1_funct_1(A,C))))))))) # label(t132_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1619 (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 (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].
11.36/11.04	1620 $T # label(t153_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1621 $T # label(t149_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1622 $T # label(t167_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1623 (all A exists B (v1_relat_2(B) & v3_relat_2(B) & v4_relat_2(B) & v1_partfun1(B,A,A) & v8_relat_2(B) & v1_relat_1(B) & m1_relset_1(B,A,A))) # label(rc3_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1624 $T # label(t20_partfun1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1625 (all A all B all C all D k3_zfmisc_1(k2_tarski(A,B),k1_tarski(C),k1_tarski(D)) = k2_tarski(k3_mcart_1(A,C,D),k3_mcart_1(B,C,D))) # label(t40_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1626 (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].
11.36/11.04	1627 (all A all B all C all D k3_zfmisc_1(k1_tarski(A),k1_tarski(B),k2_tarski(C,D)) = k2_tarski(k3_mcart_1(A,B,C),k3_mcart_1(A,B,D))) # label(t42_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1628 (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) -> G = E))))))))) -> k1_xboole_0 = B | k1_xboole_0 = C | k8_mcart_1(A,B,C,D,F) = E | D = k1_xboole_0 | A = k1_xboole_0))) # label(t79_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1629 (all A all B all C all D k4_mcart_1(A,B,C,D) = k3_mcart_1(k4_tarski(A,B),C,D)) # label(t32_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1630 (all A all B (B = k2_mcart_1(k4_tarski(A,B)) & A = k1_mcart_1(k4_tarski(A,B)))) # label(t7_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1631 (all A all B all C all D -(k1_xboole_0 != B & k1_xboole_0 != D & -(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 -> H = F)) <-> F = k9_mcart_1(A,B,C,D,E)))))) & C != k1_xboole_0 & k1_xboole_0 != A)) # label(d9_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1632 (all A all B all C all D all E k3_zfmisc_1(k1_tarski(A),k2_tarski(B,C),k2_tarski(D,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))) # label(t45_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1633 (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].
11.36/11.04	1634 (all A all B all C all D all E all F all G all H (m1_subset_1(H,k1_zfmisc_1(D)) & m1_subset_1(G,k1_zfmisc_1(C)) & m1_subset_1(F,k1_zfmisc_1(B)) & 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].
11.36/11.04	1635 (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))))))))) -> A = k1_xboole_0 | k1_xboole_0 = C | k10_mcart_1(A,B,C,D,F) = E | k1_xboole_0 = D | B = k1_xboole_0))) # label(t81_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1636 (all A -((all B -(r2_hidden(B,A) & (all C all D (r2_hidden(C,D) & r2_hidden(D,B) -> r1_xboole_0(C,A))))) & A != k1_xboole_0)) # label(t3_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1637 (all A -(k1_xboole_0 != A & (all B -((all C all D all E all F (r2_hidden(C,D) & r2_hidden(E,F) & r2_hidden(F,B) & r2_hidden(D,E) -> r1_xboole_0(C,A))) & r2_hidden(B,A))))) # label(t5_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1638 (all A all B all C -(-(all D (m1_subset_1(D,k3_zfmisc_1(A,B,C)) -> (all E (m1_subset_1(E,C) -> (k7_mcart_1(A,B,C,D) = E <-> (all F all G all H (D = k3_mcart_1(F,G,H) -> E = H))))))) & k1_xboole_0 != C & B != k1_xboole_0 & k1_xboole_0 != A)) # label(d7_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1639 (all A ((exists B exists C A = k4_tarski(B,C)) -> A != k2_mcart_1(A) & k1_mcart_1(A) != A)) # label(t20_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1640 (all A all B all C all D (m1_subset_1(D,k1_zfmisc_1(B)) & m1_subset_1(C,k1_zfmisc_1(A)) -> k2_zfmisc_1(C,D) = k12_mcart_1(A,B,C,D))) # label(redefinition_k12_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1641 $T # label(t27_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1642 (all A all B -(A != k1_xboole_0 & -(all C (m1_subset_1(C,k2_zfmisc_1(A,B)) -> k4_tarski(k1_mcart_1(C),k2_mcart_1(C)) = C)) & k1_xboole_0 != B)) # label(t24_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1643 (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))) -> k1_xboole_0 = A)) # label(t49_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1644 $T # label(dt_k18_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1645 (all A all B all C all D -(k1_xboole_0 != A & D != k1_xboole_0 & -(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)) & k1_xboole_0 != C & k1_xboole_0 != B)) # label(t60_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1646 (all A k17_mcart_1(A) = k1_mcart_1(k1_mcart_1(A))) # label(d14_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1647 (all A all B all C all D all E all F (k3_zfmisc_1(A,B,C) = k3_zfmisc_1(D,E,F) -> k1_xboole_0 = A | F = C & B = E & A = D | k1_xboole_0 = C | k1_xboole_0 = B)) # label(t36_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1648 (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].
11.36/11.04	1649 (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(A,E) & r2_hidden(C,G) & r2_hidden(D,H) & r2_hidden(B,F))) # label(t84_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1650 (all A -(A != k1_xboole_0 & (all B -(r2_hidden(B,A) & (all C all D all E all F -((r2_hidden(C,A) | r2_hidden(D,A)) & B = k4_mcart_1(C,D,E,F))))))) # label(t34_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1651 (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].
11.36/11.04	1652 $T # label(dt_k4_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1653 (all A all B all C all D (r2_hidden(A,k2_zfmisc_1(B,k2_tarski(C,D))) -> (D = k2_mcart_1(A) | C = k2_mcart_1(A)) & r2_hidden(k1_mcart_1(A),B))) # label(t16_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1654 (all A all B all C all D all E all F (r1_tarski(E,F) & r1_tarski(C,D) & r1_tarski(A,B) -> r1_tarski(k3_zfmisc_1(A,C,E),k3_zfmisc_1(B,D,F)))) # label(t77_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1655 (all A all B all C all D -(A != k1_xboole_0 & k1_xboole_0 != C & -(all E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) -> (all F (m1_subset_1(F,C) -> ((all G all H all I all J (E = k4_mcart_1(G,H,I,J) -> I = F)) <-> F = k10_mcart_1(A,B,C,D,E)))))) & D != k1_xboole_0 & k1_xboole_0 != B)) # label(d10_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1656 (all A all B all C all D -(A != k1_xboole_0 & B != k1_xboole_0 & C != k1_xboole_0 & -(all E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) -> E != k8_mcart_1(A,B,C,D,E) & E != k9_mcart_1(A,B,C,D,E) & k10_mcart_1(A,B,C,D,E) != E & k11_mcart_1(A,B,C,D,E) != E)) & D != k1_xboole_0)) # label(t62_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1657 (all A all B -(A != k1_xboole_0 & k1_xboole_0 != B & -(all C (m1_subset_1(C,k2_zfmisc_1(A,B)) -> k1_mcart_1(C) != C & k2_mcart_1(C) != C)))) # label(t26_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1658 (all A all B all C all D -(A != k1_xboole_0 & B != k1_xboole_0 & (exists E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) & (exists F exists G exists H exists I (-(k8_mcart_1(A,B,C,D,E) = F & H = k10_mcart_1(A,B,C,D,E) & k11_mcart_1(A,B,C,D,E) = I & k9_mcart_1(A,B,C,D,E) = G) & E = k4_mcart_1(F,G,H,I))))) & D != k1_xboole_0 & C != k1_xboole_0)) # label(t59_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1659 (all A (v1_relat_1(A) & v1_funct_1(A) -> v1_relat_1(k15_mcart_1(A)) & v1_funct_1(k15_mcart_1(A)))) # label(dt_k15_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1660 (all A all B all C all D all E all F (m1_subset_1(D,k1_zfmisc_1(A)) & m1_subset_1(E,k1_zfmisc_1(B)) & m1_subset_1(F,k1_zfmisc_1(C)) -> 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].
11.36/11.04	1661 (all A all B all C -(A != k1_xboole_0 & C != k1_xboole_0 & -(all D (m1_subset_1(D,k3_zfmisc_1(A,B,C)) -> k1_mcart_1(k1_mcart_1(D)) = k5_mcart_1(A,B,C,D) & k6_mcart_1(A,B,C,D) = k2_mcart_1(k1_mcart_1(D)) & k7_mcart_1(A,B,C,D) = k2_mcart_1(D))) & k1_xboole_0 != B)) # label(t50_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1662 (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) -> B = k1_xboole_0 | C = k1_xboole_0 | k1_xboole_0 = D | A = E & F = B & C = G & D = H | A = k1_xboole_0)) # label(t56_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1663 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all 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)) -> k1_mcart_1(k1_funct_1(A,C)) = k1_funct_1(B,C))) <-> k15_mcart_1(A) = B))))) # label(d12_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1664 (all A all B all C all D (m1_subset_1(D,k3_zfmisc_1(A,B,C)) -> -(k1_xboole_0 != C & (exists E exists F exists G (-(k7_mcart_1(A,B,C,D) = G & F = k6_mcart_1(A,B,C,D) & k5_mcart_1(A,B,C,D) = E) & D = k3_mcart_1(E,F,G))) & B != k1_xboole_0 & k1_xboole_0 != A))) # label(t68_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1665 (all A all B all C all D all 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)) = k3_zfmisc_1(k2_tarski(A,B),k1_tarski(C),k2_tarski(D,E))) # label(t44_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1666 $T # label(t22_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1667 (all A all B all C all D (C != k1_xboole_0 & k1_xboole_0 != D & k1_xboole_0 != B & k1_xboole_0 != A <-> k1_xboole_0 != k4_zfmisc_1(A,B,C,D))) # label(t55_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1668 (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].
11.36/11.04	1669 (all A all B all C all D k4_tarski(k3_mcart_1(A,B,C),D) = k4_mcart_1(A,B,C,D)) # label(d4_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1670 $T # label(dt_k17_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1671 (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].
11.36/11.04	1672 (all A all B all C all D -(k1_xboole_0 != A & k1_xboole_0 != B & -(all E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) -> (all F (m1_subset_1(F,D) -> (F = k11_mcart_1(A,B,C,D,E) <-> (all G all H all I all J (k4_mcart_1(G,H,I,J) = E -> J = F))))))) & k1_xboole_0 != D & k1_xboole_0 != C)) # label(d11_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1673 (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].
11.36/11.04	1674 (all A all B all C all D all E k3_zfmisc_1(k2_tarski(A,B),k2_tarski(C,D),k1_tarski(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))) # label(t43_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1675 $T # label(dt_k1_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1676 (all A all B all C all D all E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) -> -(k1_xboole_0 != B & k1_xboole_0 != D & (exists F exists G exists H exists I (-(k8_mcart_1(A,B,C,D,E) = F & G = k9_mcart_1(A,B,C,D,E) & k10_mcart_1(A,B,C,D,E) = H & k11_mcart_1(A,B,C,D,E) = I) & k4_mcart_1(F,G,H,I) = E)) & C != k1_xboole_0 & A != k1_xboole_0))) # label(t78_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1677 (all A all B all C all D (-(-r1_tarski(A,k4_zfmisc_1(B,C,D,A)) & -r1_tarski(A,k4_zfmisc_1(C,D,A,B)) & -r1_tarski(A,k4_zfmisc_1(D,A,B,C)) & -r1_tarski(A,k4_zfmisc_1(A,B,C,D))) -> k1_xboole_0 = A)) # label(t63_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1678 (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].
11.36/11.04	1679 (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].
11.36/11.04	1680 (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].
11.36/11.04	1681 (all A all B all C all D all E all F all G all H (k4_zfmisc_1(E,F,G,H) = k4_zfmisc_1(A,B,C,D) -> k4_zfmisc_1(A,B,C,D) = k1_xboole_0 | A = E & F = B & C = G & H = D)) # label(t57_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1682 (all A all B all C all D all E -(r2_hidden(A,k4_zfmisc_1(B,C,D,E)) & (all F all G all H all I -(r2_hidden(F,B) & r2_hidden(I,E) & k4_mcart_1(F,G,H,I) = A & r2_hidden(H,D) & r2_hidden(G,C))))) # label(t83_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1683 (all A all B all C (r2_hidden(A,k2_zfmisc_1(k1_tarski(B),k1_tarski(C))) -> C = k2_mcart_1(A) & B = k1_mcart_1(A))) # label(t14_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1684 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (k16_mcart_1(A) = 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)))))) # label(d13_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1685 (all A k1_mcart_1(k2_mcart_1(A)) = k19_mcart_1(A)) # label(d16_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1686 $T # label(t21_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1687 (all A all B all C (r2_hidden(k2_mcart_1(A),C) & r2_hidden(k1_mcart_1(A),B) -> r2_hidden(A,k2_zfmisc_1(B,C)) | (all D all E A != k4_tarski(D,E)))) # label(t11_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1688 (all A all B all C (k1_xboole_0 != k3_zfmisc_1(A,B,C) <-> k1_xboole_0 != B & k1_xboole_0 != C & A != k1_xboole_0)) # label(t35_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1689 (all A all B all C all D (r2_hidden(A,k2_zfmisc_1(k2_tarski(B,C),D)) -> (B = k1_mcart_1(A) | k1_mcart_1(A) = C) & r2_hidden(k2_mcart_1(A),D))) # label(t15_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1690 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_funct_1(k16_mcart_1(A)) & v1_relat_1(k16_mcart_1(A)))) # label(dt_k16_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1691 (all A all B (k4_zfmisc_1(A,A,A,A) = k4_zfmisc_1(B,B,B,B) -> B = A)) # label(t58_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1692 (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) = D | E = k2_mcart_1(A)) & (B = k1_mcart_1(A) | k1_mcart_1(A) = C))) # label(t19_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1693 $T # label(dt_k19_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1694 (all A k20_mcart_1(A) = k2_mcart_1(k2_mcart_1(A))) # label(d17_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1695 (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(A,D) & -r1_xboole_0(B,E) & -r1_xboole_0(C,F))) # label(t52_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1696 (all A all B all C -(A != k1_xboole_0 & B != k1_xboole_0 & C != k1_xboole_0 & (exists D (m1_subset_1(D,k3_zfmisc_1(A,B,C)) & (exists E exists F exists G (-(k5_mcart_1(A,B,C,D) = E & F = k6_mcart_1(A,B,C,D) & k7_mcart_1(A,B,C,D) = G) & k3_mcart_1(E,F,G) = D)))))) # label(t47_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1697 (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].
11.36/11.04	1698 (all A all B all C all D all E all F k3_zfmisc_1(k2_tarski(A,B),k2_tarski(C,D),k2_tarski(E,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))) # label(t46_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1699 (all A -(A != k1_xboole_0 & (all B -((all C all D all E all F all G (r2_hidden(G,B) & r2_hidden(F,G) & r2_hidden(E,F) & r2_hidden(D,E) & r2_hidden(C,D) -> r1_xboole_0(C,A))) & r2_hidden(B,A))))) # label(t6_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1700 (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) -> J = E))))))))) -> k1_xboole_0 = B | k1_xboole_0 = D | E = k11_mcart_1(A,B,C,D,F) | k1_xboole_0 = C | k1_xboole_0 = A))) # label(t82_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1701 (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].
11.36/11.04	1702 (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].
11.36/11.04	1703 (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) -> H = E))))))))) -> k1_xboole_0 = D | E = k9_mcart_1(A,B,C,D,F) | k1_xboole_0 = C | B = k1_xboole_0 | k1_xboole_0 = A))) # label(t80_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1704 (all A all B all C -(k1_xboole_0 != A & C != k1_xboole_0 & -(all D (m1_subset_1(D,k3_zfmisc_1(A,B,C)) -> (all E (m1_subset_1(E,A) -> (E = k5_mcart_1(A,B,C,D) <-> (all F all G all H (D = k3_mcart_1(F,G,H) -> E = F))))))) & B != k1_xboole_0)) # label(d5_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1705 (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].
11.36/11.04	1706 (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) -> ((all F all G all H (k3_mcart_1(F,G,H) = D -> G = E)) <-> k6_mcart_1(A,B,C,D) = E))))) & k1_xboole_0 != C & A != k1_xboole_0)) # label(d6_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1707 (all A all B all C -(A != k1_xboole_0 & -(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 != C & k1_xboole_0 != B)) # label(t48_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1708 (all A all B (k1_xboole_0 != k2_zfmisc_1(A,B) -> (all C (m1_subset_1(C,k2_zfmisc_1(A,B)) -> C != k2_mcart_1(C) & k1_mcart_1(C) != C)))) # label(t66_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1709 (all A all B all C all D all E all F (k3_zfmisc_1(A,B,C) = k3_zfmisc_1(D,E,F) -> A = D & C = F & E = B | k3_zfmisc_1(A,B,C) = k1_xboole_0)) # label(t37_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1710 (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 = H))))))) -> k1_xboole_0 = B | k1_xboole_0 = C | k7_mcart_1(A,B,C,E) = D | k1_xboole_0 = A))) # label(t71_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1711 (all A -((all B -(r1_xboole_0(B,A) & r2_hidden(B,A))) & A != k1_xboole_0)) # label(t1_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1712 (all A all B all C all D -(A != k1_xboole_0 & k1_xboole_0 != B & C != k1_xboole_0 & 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))) & k10_mcart_1(A,B,C,D,E) = k2_mcart_1(k1_mcart_1(E)) & k11_mcart_1(A,B,C,D,E) = k2_mcart_1(E))))) # label(t61_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1713 (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)) -> k4_zfmisc_1(E,F,G,H) = k14_mcart_1(A,B,C,D,E,F,G,H))) # label(redefinition_k14_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1714 (all A all B (k3_zfmisc_1(A,A,A) = k3_zfmisc_1(B,B,B) -> A = B)) # label(t38_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1715 (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(D,H) & -r1_xboole_0(C,G) & -r1_xboole_0(B,F) & -r1_xboole_0(A,E))) # label(t64_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1716 (all A all B all C all D all E all F (k3_mcart_1(D,E,F) = k3_mcart_1(A,B,C) -> E = B & F = C & D = A)) # label(t28_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.04	1717 (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 & G = C & D = H & B = F)) # label(t33_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1718 (all A all B all C all D all E all F -(k1_xboole_0 != A & C != k1_xboole_0 & (exists G ((exists H (m1_subset_1(H,k3_zfmisc_1(D,E,F)) & -(k6_mcart_1(A,B,C,G) = k6_mcart_1(D,E,F,H) & k7_mcart_1(A,B,C,G) = k7_mcart_1(D,E,F,H) & k5_mcart_1(D,E,F,H) = k5_mcart_1(A,B,C,G)) & G = H)) & m1_subset_1(G,k3_zfmisc_1(A,B,C)))) & k1_xboole_0 != F & E != k1_xboole_0 & k1_xboole_0 != D & B != k1_xboole_0)) # label(t75_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1719 (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].
11.36/11.05	1720 $T # label(dt_k3_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1721 (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) & r2_hidden(J,E) & F = k4_mcart_1(G,H,I,J) & r2_hidden(H,C))))) -> A = k4_zfmisc_1(B,C,D,E))) # label(t85_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1722 (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))))))) -> D = k6_mcart_1(A,B,C,E) | k1_xboole_0 = C | k1_xboole_0 = B | A = k1_xboole_0))) # label(t70_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1723 (all A all B all C all D k4_zfmisc_1(A,B,C,D) = k3_zfmisc_1(k2_zfmisc_1(A,B),C,D)) # label(t54_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1724 (all A all B all C (r2_hidden(A,k2_zfmisc_1(B,C)) -> k1_mcart_1(A) != A & A != k2_mcart_1(A))) # label(t67_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1725 (all A -(k1_xboole_0 != A & (all B -(r2_hidden(B,A) & (all C all D -(B = k4_tarski(C,D) & (r2_hidden(C,A) | r2_hidden(D,A)))))))) # label(t9_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1726 (all A k18_mcart_1(A) = k2_mcart_1(k1_mcart_1(A))) # label(d15_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1727 (all A -((all B -(r2_hidden(B,A) & (all C all D all E (r2_hidden(D,E) & r2_hidden(E,B) & r2_hidden(C,D) -> r1_xboole_0(C,A))))) & A != k1_xboole_0)) # label(t4_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1728 $T # label(dt_k2_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1729 (all A ((exists B exists C A = k4_tarski(B,C)) -> (all B ((all C all D (A = k4_tarski(C,D) -> B = D)) <-> k2_mcart_1(A) = B)))) # label(d2_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1730 (all A all B all C all D -(A != k1_xboole_0 & B != 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) -> ((all G all H all I all J (E = k4_mcart_1(G,H,I,J) -> G = F)) <-> F = k8_mcart_1(A,B,C,D,E)))))) & k1_xboole_0 != C)) # label(d8_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1731 (all A all B all C -(A != k1_xboole_0 & B != k1_xboole_0 & -(all D (m1_subset_1(D,k3_zfmisc_1(A,B,C)) -> D != k5_mcart_1(A,B,C,D) & k7_mcart_1(A,B,C,D) != D & D != k6_mcart_1(A,B,C,D))) & C != k1_xboole_0)) # label(t51_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1732 (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(k9_mcart_1(A,B,C,D,I),F) & r2_hidden(k10_mcart_1(A,B,C,D,I),G) & r2_hidden(k11_mcart_1(A,B,C,D,I),H) & r2_hidden(k8_mcart_1(A,B,C,D,I),E)))))))))))) # label(t87_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1733 (all A all B all C all D all E all F all G all H -(k1_xboole_0 != B & D != k1_xboole_0 & G != k1_xboole_0 & (exists I ((exists J (m1_subset_1(J,k4_zfmisc_1(E,F,G,H)) & -(k8_mcart_1(A,B,C,D,I) = k8_mcart_1(E,F,G,H,J) & k9_mcart_1(A,B,C,D,I) = k9_mcart_1(E,F,G,H,J) & 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)) & I = J)) & m1_subset_1(I,k4_zfmisc_1(A,B,C,D)))) & H != k1_xboole_0 & F != k1_xboole_0 & E != k1_xboole_0 & C != k1_xboole_0 & k1_xboole_0 != A)) # label(t86_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1734 (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) -> F = D))))))) -> A = k1_xboole_0 | k1_xboole_0 = C | D = k5_mcart_1(A,B,C,E) | B = k1_xboole_0))) # label(t69_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1735 $T # label(dt_k20_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1736 (all A -(A != k1_xboole_0 & (all B -(r2_hidden(B,A) & (all C (r2_hidden(C,B) -> r1_xboole_0(C,A))))))) # label(t2_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1737 (all A all B all C all D (r2_hidden(A,k2_zfmisc_1(k1_tarski(B),k2_tarski(C,D))) -> k1_mcart_1(A) = B & (D = k2_mcart_1(A) | C = k2_mcart_1(A)))) # label(t18_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1738 (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(k7_mcart_1(A,B,C,G),F) & r2_hidden(k6_mcart_1(A,B,C,G),E) & r2_hidden(k5_mcart_1(A,B,C,G),D)))))))))) # label(t76_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1739 (all A ((exists B exists C k4_tarski(B,C) = A) -> (all B ((all C all D (k4_tarski(C,D) = A -> C = B)) <-> B = k1_mcart_1(A))))) # label(d1_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1740 (all A all B all C all D all E all F (A = k17_mcart_1(k4_tarski(k4_tarski(A,B),C)) & k18_mcart_1(k4_tarski(k4_tarski(A,B),C)) = B & D = k19_mcart_1(k4_tarski(F,k4_tarski(D,E))) & k20_mcart_1(k4_tarski(F,k4_tarski(D,E))) = E)) # label(t89_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1741 $T # label(t30_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1742 (all A all B all C all D all E all F all G all H (r1_tarski(A,B) & r1_tarski(C,D) & r1_tarski(G,H) & r1_tarski(E,F) -> 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].
11.36/11.05	1743 (all A all B all C (r2_hidden(A,k2_zfmisc_1(B,C)) -> r2_hidden(k2_mcart_1(A),C) & r2_hidden(k1_mcart_1(A),B))) # label(t10_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1744 (all A all B all C all D (r2_hidden(A,k2_zfmisc_1(k2_tarski(B,C),k1_tarski(D))) -> k2_mcart_1(A) = D & (k1_mcart_1(A) = B | k1_mcart_1(A) = C))) # label(t17_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1745 (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].
11.36/11.05	1746 (all A all B all C all D k2_tarski(k3_mcart_1(A,B,D),k3_mcart_1(A,C,D)) = k3_zfmisc_1(k1_tarski(A),k2_tarski(B,C),k1_tarski(D))) # label(t41_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1747 (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].
11.36/11.05	1748 (all A -(A != k1_xboole_0 & (all B -((all C all D all E -(k3_mcart_1(C,D,E) = B & (r2_hidden(D,A) | r2_hidden(C,A)))) & r2_hidden(B,A))))) # label(t29_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1749 (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].
11.36/11.05	1750 (all A all B all C all D -((all E all F all G -(r2_hidden(E,B) & r2_hidden(F,C) & r2_hidden(G,D) & A = k3_mcart_1(E,F,G))) & r2_hidden(A,k3_zfmisc_1(B,C,D)))) # label(t72_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1751 (all A all B all C all D ((all E (r2_hidden(E,A) <-> (exists F exists G exists H (r2_hidden(G,C) & r2_hidden(H,D) & E = k3_mcart_1(F,G,H) & r2_hidden(F,B))))) -> k3_zfmisc_1(B,C,D) = A)) # label(t74_mcart_1) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1752 (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].
11.36/11.05	1753 (all A all B all C all D all E all F (m1_subset_1(D,k1_zfmisc_1(A)) & m1_subset_1(E,k1_zfmisc_1(B)) & m1_subset_1(F,k1_zfmisc_1(C)) -> 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].
11.36/11.05	1754 (all A -(r2_hidden(A,f1_s1_wellord2) & (all B -(p1_s1_wellord2(A,B) & r2_hidden(B,f2_s1_wellord2))))) -> (exists A (v1_relat_1(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))) # label(s1_wellord2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1755 (all A (v3_ordinal1(A) -> v2_wellord1(k1_wellord2(A)))) # label(t7_wellord2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1756 $T # label(t1_wellord2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1757 $T # label(t18_wellord2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1758 $T # label(t15_wellord2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1759 (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].
11.36/11.05	1760 $T # label(t24_wellord2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1761 (all A (v1_relat_1(A) -> v3_ordinal1(k2_wellord2(A)))) # label(dt_k2_wellord2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1762 (all A all B all C (r2_wellord2(A,B) & r2_wellord2(B,C) -> r2_wellord2(A,C))) # label(t22_wellord2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1763 (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].
11.36/11.05	1764 (all A (v3_ordinal1(A) -> (all B (v1_relat_1(B) -> (k2_wellord2(B) = A <-> r1_wellord2(A,B)))))) # label(d3_wellord2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1765 (all A all B (r1_tarski(A,B) -> k1_wellord2(A) = k2_wellord1(k1_wellord2(B),A))) # label(t8_wellord2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1766 (all A all B ((exists C (v1_relat_1(C) & k2_relat_1(C) = B & k1_relat_1(C) = A & v2_funct_1(C) & v1_funct_1(C))) <-> r2_wellord2(A,B))) # label(d4_wellord2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1767 (all A v8_relat_2(k1_wellord2(A))) # label(t3_wellord2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1768 (all A exists B (v1_relat_1(B) & r2_wellord1(B,A))) # label(t26_wellord2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1769 (all A v4_relat_2(k1_wellord2(A))) # label(t5_wellord2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1770 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r4_wellord1(k1_wellord2(A),k1_wellord2(B)) -> B = A))))) # label(t11_wellord2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1771 $T # label(t19_wellord2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1772 (all A all B (r2_wellord2(A,B) -> r2_wellord2(B,A))) # label(symmetry_r2_wellord2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1773 (all A (v3_ordinal1(A) -> v1_wellord1(k1_wellord2(A)))) # label(t6_wellord2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1774 (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].
11.36/11.05	1775 (all A all B r2_wellord2(A,A)) # label(reflexivity_r2_wellord2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1776 (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].
11.36/11.05	1777 (all A -(r2_hidden(A,f1_s2_wellord2) & (all B all C -(p1_s2_wellord2(A,B,C) & r2_hidden(C,f3_s2_wellord2) & r2_hidden(B,f2_s2_wellord2))))) -> (exists A (v1_funct_1(A) & (exists B (v1_relat_1(B) & (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(B) = f1_s2_wellord2 & k1_relat_1(A) = f1_s2_wellord2 & v1_funct_1(B))) & v1_relat_1(A))) # label(s2_wellord2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1778 (all A v1_relat_2(k1_wellord2(A))) # label(t2_wellord2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1779 (all A (-v1_xboole_0(A) -> -((all B exists C ((all D k1_tarski(D) != k3_xboole_0(B,C)) & r2_hidden(C,A))) & (all B all C (r2_hidden(B,A) & r2_hidden(C,A) -> B = C | r1_xboole_0(B,C))) & (all B -(r2_hidden(B,A) & k1_xboole_0 = B))))) # label(t27_wellord2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1780 (all A all B (v1_relat_1(B) -> ((all C all D (r2_hidden(D,A) & r2_hidden(C,A) -> (r2_hidden(k4_tarski(C,D),B) <-> r1_tarski(C,D)))) & A = k3_relat_1(B) <-> B = k1_wellord2(A)))) # label(d1_wellord2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1781 (all A (v3_ordinal1(A) -> v6_relat_2(k1_wellord2(A)))) # label(t4_wellord2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1782 (all A all B (r2_tarski(A,B) <-> r2_wellord2(A,B))) # label(redefinition_r2_wellord2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1783 (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].
11.36/11.05	1784 (all A v1_relat_1(k1_wellord2(A))) # label(dt_k1_wellord2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1785 (all A all B (v1_relat_1(B) -> (r2_wellord1(B,A) -> A = k3_relat_1(k2_wellord1(B,A)) & v2_wellord1(k2_wellord1(B,A))))) # label(t25_wellord2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1786 $T # label(t16_wellord2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1787 (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].
11.36/11.05	1788 $T # label(t23_wellord2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1789 (all A (v1_relat_1(A) -> (v2_wellord1(A) -> (all B (v3_ordinal1(B) -> (r4_wellord1(A,k1_wellord2(B)) <-> B = k2_wellord2(A))))))) # label(d2_wellord2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1790 $T # label(t21_wellord2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1791 (all A (-v1_xboole_0(A) -> -((all B (v1_relat_1(B) & v1_funct_1(B) -> -(A = k1_relat_1(B) & (all C (r2_hidden(C,A) -> r2_hidden(k1_funct_1(B,C),C)))))) & (all B -(r2_hidden(B,A) & B = k1_xboole_0))))) # label(t28_wellord2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1792 $T # label(t20_wellord2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1793 (all A all B all 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 (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 (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].
11.36/11.05	1794 (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_1(C) & m2_relset_1(C,A,A) & v3_funct_2(C,A,A) & v1_funct_2(C,A,A) -> (k6_partfun1(A) = k5_funct_2(A,B,C) -> C = k6_funct_2(A,B)))))) # label(t87_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1795 (all A all B (v1_funct_1(B) & v1_funct_2(B,A,A) & m2_relset_1(B,A,A) -> (all C (v1_funct_2(C,A,A) & m2_relset_1(C,A,A) & v1_funct_1(C) -> (v2_funct_1(B) & B = k4_funct_2(A,C,B) -> k6_partfun1(A) = C))))) # label(t76_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1796 (all A all B (m2_relset_1(B,A,A) & v1_funct_1(B) -> (all C (v1_funct_2(C,A,A) & m2_relset_1(C,A,A) & v1_funct_1(C) -> ((all D (r2_hidden(D,k4_relset_1(A,A,B)) -> k1_funct_1(C,D) = k1_funct_1(B,D))) <-> r1_partfun1(B,C)))))) # label(t146_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1797 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> -((k1_xboole_0 = B -> A = k1_xboole_0) & (all D (m2_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) -> (exists E (k1_funct_1(C,E) != k1_funct_1(D,E) & r2_hidden(E,k4_relset_1(A,B,C))))))))) # label(t136_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1798 (all A all B all C all D (m1_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) -> k9_relat_1(C,D) = k2_funct_2(A,B,C,D))) # label(redefinition_k2_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1799 (all A all B all C (m2_relset_1(C,A,k1_tarski(B)) & v1_funct_1(C) -> (all D (m2_relset_1(D,A,k1_tarski(B)) & v1_funct_2(D,A,k1_tarski(B)) & v1_funct_1(D) -> k1_tarski(D) = k5_partfun1(A,k1_tarski(B),C))))) # label(t164_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1800 (all A all B all C all D (v1_funct_1(D) & m2_relset_1(D,A,B) -> r1_tarski(k10_relat_1(D,C),A))) # label(t47_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1801 (all A (m1_subset_1(A,f1_s14_funct_2) -> (exists B (p1_s14_funct_2(A,B) & m1_subset_1(B,f2_s14_funct_2))))) -> (exists A (v1_funct_1(A) & m2_relset_1(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)))) & v1_funct_2(A,f1_s14_funct_2,f2_s14_funct_2))) # label(s14_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1802 (all A all B all C (m2_relset_1(C,A,B) -> C = k7_relset_1(A,A,A,B,k6_partfun1(A),C) & C = k7_relset_1(A,B,B,B,C,k6_partfun1(B)))) # label(t23_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1803 $T # label(t140_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1804 $T # label(t52_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1805 $T # label(t33_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1806 (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) -> (r2_hidden(k1_funct_1(E,C),D) & r2_hidden(C,A) -> k1_funct_1(E,C) = k1_funct_1(k9_relset_1(A,B,D,E),C) | k1_xboole_0 = B))) # label(t41_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1807 (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_1(D) & v1_funct_2(D,B,A) & m2_relset_1(D,B,A) -> (v2_funct_1(C) & k6_partfun1(A) = k1_partfun1(A,B,B,A,C,D) & k2_relat_1(C) = B -> k1_xboole_0 = A | k2_funct_1(C) = D | k1_xboole_0 = B))))) # label(t36_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1808 (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) -> (B != k1_xboole_0 -> 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].
11.36/11.05	1809 (all A all B (v1_funct_2(B,A,A) & v3_funct_2(B,A,A) & m2_relset_1(B,A,A) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v3_funct_2(C,A,A) & m2_relset_1(C,A,A) & v1_funct_2(C,A,A) -> (k5_funct_2(A,B,C) = C -> B = k6_partfun1(A)))))) # label(t86_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1810 $T # label(t91_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1811 $T # label(t124_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1812 (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_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> ((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].
11.36/11.05	1813 (all A all B all C all D (m1_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) -> 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].
11.36/11.05	1814 (all A all B all C all D (m1_relset_1(C,A,B) & v1_funct_1(C) -> 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].
11.36/11.05	1815 $T # label(t96_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1816 $T # label(t84_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1817 (all A all B all C all D (v1_funct_2(C,A,B) & m1_relset_1(C,A,B) & m1_subset_1(D,A) & v1_funct_1(C) & -v1_xboole_0(A) -> k8_funct_2(A,B,C,D) = k1_funct_1(C,D))) # label(redefinition_k8_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1818 $T # label(t98_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1819 (all A -((all B -(p1_s1_funct_2(A,B) & r2_hidden(B,f2_s1_funct_2))) & r2_hidden(A,f1_s1_funct_2))) -> (exists A (v1_funct_1(A) & v1_funct_2(A,f1_s1_funct_2,f2_s1_funct_2) & m2_relset_1(A,f1_s1_funct_2,f2_s1_funct_2) & (all B (r2_hidden(B,f1_s1_funct_2) -> p1_s1_funct_2(B,k1_funct_1(A,B)))))) # label(s1_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1820 (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) -> (k1_xboole_0 != B -> r2_hidden(k1_funct_1(C,A),B)))) # label(t61_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1821 $T # label(t78_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1822 (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].
11.36/11.05	1823 (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) -> ((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].
11.36/11.05	1824 (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 -(r2_hidden(E,A) & D = k1_funct_1(C,E))))) -> k2_relat_1(C) = B | B = k1_xboole_0))) # label(t16_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1825 $T # label(t112_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1826 (all A all B (v1_funct_2(B,A,A) & m2_relset_1(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) -> (k2_relat_1(C) = A & 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].
11.36/11.05	1827 (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) & (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) & v1_funct_2(A,f1_s13_funct_2,f2_s13_funct_2))) # label(s13_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1828 (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].
11.36/11.05	1829 $T # label(t153_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1830 (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_2(E,B,C) & m2_relset_1(E,B,C) & v1_funct_1(E) -> (-(B = k1_xboole_0 & A != k1_xboole_0 & k1_xboole_0 != C) -> v1_funct_1(k1_partfun1(A,B,B,C,D,E)) & v1_funct_2(k1_partfun1(A,B,B,C,D,E),A,C) & m2_relset_1(k1_partfun1(A,B,B,C,D,E),A,C)))))) # label(t19_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1831 $T # label(t2_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1832 (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) | B = k1_xboole_0))) # label(t7_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1833 (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(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].
11.36/11.05	1834 (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) & v1_funct_2(F,B,C) & m2_relset_1(F,B,C) -> -((C = k1_xboole_0 -> k1_xboole_0 = B) & (k1_xboole_0 = B -> A = 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)))))))) # label(t53_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1835 (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) -> m2_relset_1(D,A,C) & v1_funct_2(D,A,C) & v1_funct_1(D) | A != k1_xboole_0 & B = k1_xboole_0))) # label(t9_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1836 (all A all B all C (m1_relset_1(C,A,B) -> (v1_funct_1(C) & v2_funct_1(C) & v2_funct_2(C,A,B) & v1_funct_2(C,A,B) -> v1_funct_1(C) & v3_funct_2(C,A,B) & v1_funct_2(C,A,B)))) # label(cc3_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1837 (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_partfun1(C,D) & (all E (v1_funct_1(E) & m2_relset_1(E,A,B) & v1_funct_2(E,A,B) -> -(r1_partfun1(D,E) & r1_partfun1(C,E)))) & (B = k1_xboole_0 -> A = k1_xboole_0)))))) # label(t154_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1838 (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) & v2_funct_2(C,A,B) <-> v3_funct_2(C,A,B)))) # label(d4_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1839 (all A all B (m2_relset_1(B,A,A) & v1_funct_2(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) -> (A = k2_relat_1(B) & B = k4_funct_2(A,B,C) -> k6_partfun1(A) = C))))) # label(t75_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1840 $T # label(t114_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1841 $T # label(t110_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1842 (all A all B (m2_relset_1(B,A,A) & v1_funct_2(B,A,A) & v1_funct_1(B) -> (all C (v1_funct_2(C,A,A) & m2_relset_1(C,A,A) & v1_funct_1(C) -> (r1_partfun1(B,C) -> C = B))))) # label(t143_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1843 (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].
11.36/11.05	1844 (all A all B all C all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> (v2_funct_1(D) & r2_hidden(C,A) -> C = k1_funct_1(k2_funct_1(D),k1_funct_1(D,C)) | k1_xboole_0 = B))) # label(t32_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1845 (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) -> ((B = k1_xboole_0 -> k1_xboole_0 = A) -> ((all E (r2_hidden(E,k4_relset_1(A,B,C)) -> k1_funct_1(C,E) = k1_funct_1(D,E))) <-> r1_partfun1(C,D))))))) # label(t145_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1846 (all A all B (m2_relset_1(B,A,A) -> B = k7_relset_1(A,A,A,A,k6_partfun1(A),B) & B = k7_relset_1(A,A,A,A,B,k6_partfun1(A)))) # label(t74_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1847 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (k1_xboole_0 = k1_relat_1(B) -> v1_funct_1(B) & m2_relset_1(B,k1_xboole_0,A) & v1_funct_2(B,k1_xboole_0,A)))) # label(t55_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1848 (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 (m2_relset_1(A,k2_zfmisc_1(f1_s6_funct_2,f2_s6_funct_2),f3_s6_funct_2) & (all B all C (r2_hidden(C,f2_s6_funct_2) & r2_hidden(B,f1_s6_funct_2) -> k1_funct_1(A,k4_tarski(B,C)) = f4_s6_funct_2(B,C))) & v1_funct_2(A,k2_zfmisc_1(f1_s6_funct_2,f2_s6_funct_2),f3_s6_funct_2) & v1_funct_1(A))) # label(s6_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1849 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> (k4_relset_1(A,B,C) = A -> v1_funct_1(C) & m2_relset_1(C,A,B) & v1_funct_2(C,A,B)))) # label(t130_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1850 (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) -> f3_s2_funct_2(B) = k1_funct_1(A,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].
11.36/11.05	1851 (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 -> k1_xboole_0 = A) -> v1_partfun1(k3_partfun1(C,A,B),A,B)))) # label(t133_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1852 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) -> (all D (m2_relset_1(D,B,A) & v1_funct_2(D,B,A) & v1_funct_1(D) -> (k1_partfun1(A,B,B,A,C,D) = k6_partfun1(A) -> v2_funct_1(C) & k2_relat_1(D) = A | B = k1_xboole_0))))) # label(t29_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1853 $T # label(t54_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1854 $T # label(t105_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1855 (all A all B all C (v1_funct_1(C) & m1_relset_1(C,A,A) & v1_funct_2(C,A,A) & m1_relset_1(B,A,A) & v1_funct_2(B,A,A) & v1_funct_1(B) -> k5_relat_1(B,C) = k4_funct_2(A,B,C))) # label(redefinition_k4_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1856 $T # label(t122_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1857 $T # label(t102_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1858 (all A all B (v1_funct_1(B) & m2_relset_1(B,A,A) & v1_funct_2(B,A,A) -> r1_tarski(k2_relat_1(B),A) & A = k4_relset_1(A,A,B))) # label(t67_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1859 (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].
11.36/11.05	1860 $T # label(t109_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1861 $T # label(t56_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1862 $T # label(t94_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1863 (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) -> k1_xboole_0 = B | r2_hidden(k1_funct_1(D,C),k2_relat_1(D))))) # label(t6_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1864 $T # label(t147_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1865 (all A all B (-v1_xboole_0(A) & -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_xboole_0(C) & v1_partfun1(C,A,B) & v1_funct_2(C,A,B)))))) # label(cc6_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1866 $T # label(t1_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1867 $T # label(t89_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1868 $T # label(t100_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1869 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> (m2_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) -> v1_partfun1(C,A,B) | A != k1_xboole_0 & B = k1_xboole_0))) # label(t132_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1870 $T # label(t123_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1871 (all A all B all C all D (v1_funct_1(C) & m1_relset_1(C,A,B) -> k3_funct_2(A,B,C,D) = k10_relat_1(C,D))) # label(redefinition_k3_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1872 $T # label(t90_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1873 (all A all B all C (m1_relset_1(C,A,B) -> (v1_funct_1(C) & v1_funct_2(C,A,B) & v3_funct_2(C,A,B) -> v1_funct_1(C) & v2_funct_1(C) & v1_funct_2(C,A,B) & v2_funct_2(C,A,B)))) # label(cc2_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1874 (all A all B all C all D all E (-v1_xboole_0(B) & v1_funct_2(D,A,B) & v1_funct_2(E,B,C) & m1_relset_1(E,B,C) & v1_funct_1(E) & m1_relset_1(D,A,B) & v1_funct_1(D) -> m2_relset_1(k7_funct_2(A,B,C,D,E),A,C) & v1_funct_2(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].
11.36/11.05	1875 (all A all B (v1_funct_1(B) & v1_funct_2(B,A,A) & m2_relset_1(B,A,A) -> v1_partfun1(k3_partfun1(B,A,A),A,A))) # label(t134_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1876 (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 -((all F (m1_subset_1(F,A) -> -(r2_hidden(F,C) & E = k1_funct_1(D,F)))) & r2_hidden(E,k2_funct_2(A,B,D,C)))))) # label(t116_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1877 $T # label(t69_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1878 $T # label(t157_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1879 $T # label(t139_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1880 $T # label(t68_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1881 (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 (m2_relset_1(E,B,C) & v1_funct_2(E,B,C) & v1_funct_1(E) -> (B = k2_relat_1(D) & v2_funct_1(k1_partfun1(A,B,B,C,D,E)) -> k1_xboole_0 = C & k1_xboole_0 != B | v2_funct_1(D) & v2_funct_1(E)))))) # label(t30_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1882 (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 (v1_funct_2(E,A,B) & m2_relset_1(E,A,B) & v1_funct_1(E) -> (r1_partfun1(D,E) & r1_partfun1(C,E) -> r1_partfun1(C,D) | k1_xboole_0 = B & k1_xboole_0 != A))))))) # label(t151_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1883 (all A all B (m2_relset_1(B,A,A) & v1_funct_2(B,A,A) & v1_funct_1(B) -> k1_tarski(B) = k5_partfun1(A,A,k3_partfun1(B,A,A)))) # label(t162_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1884 $T # label(t93_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1885 (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 (v1_funct_1(A) & (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) -> k1_funct_1(A,B) = f3_s9_funct_2(B)))) & m2_relset_1(A,f1_s9_funct_2,f2_s9_funct_2) & v1_funct_2(A,f1_s9_funct_2,f2_s9_funct_2))) # label(s9_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1886 (all A all B all C (v1_funct_1(C) & v1_funct_2(C,A,A) & v3_funct_2(C,A,A) & m2_relset_1(C,A,A) -> (r1_tarski(B,A) -> k3_funct_2(A,A,C,k2_funct_2(A,A,C,B)) = B & B = k2_funct_2(A,A,C,k3_funct_2(A,A,C,B))))) # label(t92_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1887 (all A all B -((all C -(r2_hidden(C,f3_s5_funct_2) & p1_s5_funct_2(A,B,C))) & r2_hidden(B,f2_s5_funct_2) & r2_hidden(A,f1_s5_funct_2))) -> (exists A (v1_funct_1(A) & (all B all C (r2_hidden(B,f1_s5_funct_2) & r2_hidden(C,f2_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))) # label(s5_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1888 $T # label(t10_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1889 (all A all B all C (v1_funct_2(C,A,A) & m2_relset_1(C,A,A) & v1_funct_1(C) -> (all D (v1_funct_1(D) & v1_relat_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].
11.36/11.05	1890 (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(C,A) -> r1_tarski(C,k3_funct_2(A,B,D,k2_funct_2(A,B,D,C))) | k1_xboole_0 = B & k1_xboole_0 != A))) # label(t50_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1891 $T # label(t42_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1892 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) -> (k2_relat_1(C) = B <-> v2_funct_2(C,A,B)))) # label(d3_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1893 $T # label(t127_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1894 (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) -> k6_funct_2(A,B) = k2_funct_1(B))) # label(redefinition_k6_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1895 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> -((k1_xboole_0 = B -> A = k1_xboole_0) & (all D (m2_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) -> -r1_partfun1(C,D)))))) # label(t148_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1896 $T # label(t129_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1897 (all A all B (-v1_xboole_0(B) -> (all C (m1_relset_1(C,A,B) -> (v1_funct_1(C) & v1_funct_2(C,A,B) -> v1_funct_1(C) & v1_funct_2(C,A,B) & v1_partfun1(C,A,B)))))) # label(cc5_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1898 $T # label(t135_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1899 (exists A ((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))))) & m2_relset_1(A,k2_zfmisc_1(f1_s8_funct_2,f2_s8_funct_2),f3_s8_funct_2) & v1_funct_2(A,k2_zfmisc_1(f1_s8_funct_2,f2_s8_funct_2),f3_s8_funct_2) & v1_funct_1(A))) # label(s8_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1900 (all A all B all C (v1_funct_1(B) & v1_funct_2(B,A,A) & v3_funct_2(B,A,A) & m1_relset_1(B,A,A) & v1_funct_2(C,A,A) & m1_relset_1(C,A,A) & v3_funct_2(C,A,A) & v1_funct_1(C) -> v1_funct_2(k5_funct_2(A,B,C),A,A) & v3_funct_2(k5_funct_2(A,B,C),A,A) & m2_relset_1(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].
11.36/11.05	1901 $T # label(t104_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1902 $T # label(dt_k1_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1903 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> (v1_partfun1(C,A,B) -> m2_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C)))) # label(t131_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1904 $T # label(t39_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1905 (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].
11.36/11.05	1906 (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) -> (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].
11.36/11.05	1907 (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,B,C) & m2_relset_1(E,B,C) -> (B = k2_relat_1(D) & k2_relat_1(E) = C -> C = k2_relat_1(k1_partfun1(A,B,B,C,D,E)) | k1_xboole_0 = C | B = k1_xboole_0))))) # label(t20_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.05	1908 (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].
11.36/11.05	1909 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) & f5_s11_funct_2 = k8_funct_2(f1_s11_funct_2,f2_s11_funct_2,A,f3_s11_funct_2) & (all B (m1_subset_1(B,f1_s11_funct_2) -> -(f4_s11_funct_2 != B & k8_funct_2(f1_s11_funct_2,f2_s11_funct_2,A,B) != f7_s11_funct_2(B) & B != f3_s11_funct_2))) & k8_funct_2(f1_s11_funct_2,f2_s11_funct_2,A,f4_s11_funct_2) = f6_s11_funct_2 & m2_relset_1(A,f1_s11_funct_2,f2_s11_funct_2))) # label(s11_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1910 $T # label(t128_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1911 (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(k9_relat_1(D,C),B))) # label(t44_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1912 (all A all B (m2_relset_1(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) -> (r1_partfun1(B,C) -> r2_hidden(C,k5_partfun1(A,A,B))))))) # label(t156_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1913 (all A all B (m2_relset_1(B,A,A) & v1_funct_1(B) -> (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].
11.36/11.06	1914 (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) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> (r1_partfun1(C,D) -> B = k1_xboole_0 & k1_xboole_0 != A | C = D))))) # label(t142_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1915 $T # label(t15_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1916 $T # label(t63_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1917 (all A all B all C (v1_funct_1(C) & v1_funct_2(C,A,B) & m2_relset_1(C,A,B) -> ((k1_xboole_0 = B -> A = k1_xboole_0) -> k3_funct_2(A,B,C,B) = A))) # label(t48_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1918 (all A all B all C (v1_funct_1(C) & v1_funct_2(C,k1_xboole_0,A) & m2_relset_1(C,k1_xboole_0,A) -> k1_xboole_0 = k3_funct_2(k1_xboole_0,A,C,B))) # label(t60_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1919 $T # label(t101_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1920 $T # label(t97_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1921 $T # label(t125_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1922 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) -> (B = k2_relat_1(C) <-> (all D -(r2_hidden(D,B) & k3_funct_2(A,B,C,k1_tarski(D)) = k1_xboole_0))))) # label(t49_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1923 (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) -> k2_partfun1(A,B,D,C) = D))) # label(t40_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1924 (all A all B all C all D all E (-v1_xboole_0(B) & v1_funct_1(D) & v1_funct_2(D,A,B) & v1_funct_2(E,B,C) & m1_relset_1(E,B,C) & v1_funct_1(E) & m1_relset_1(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].
11.36/11.06	1925 $T # label(t13_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1926 (all A all B all C (C = k1_funct_2(A,B) <-> (all D ((exists E (v1_funct_1(E) & r1_tarski(k2_relat_1(E),B) & A = k1_relat_1(E) & E = D & v1_relat_1(E))) <-> r2_hidden(D,C))))) # label(d2_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1927 (all A all 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,A) -> k1_funct_1(C,E) = k1_funct_1(D,E))) -> C = D))))) # label(t113_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1928 (all A all B all C (v1_funct_2(C,A,B) & m2_relset_1(C,A,B) & v1_funct_1(C) -> (k2_relat_1(C) = B & v2_funct_1(C) -> 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].
11.36/11.06	1929 $T # label(t144_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1930 $T # label(t81_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1931 (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 -> ((all D (k1_xboole_0 != D -> (all E (v1_funct_2(E,B,D) & m2_relset_1(E,B,D) & v1_funct_1(E) -> (all F (v1_funct_2(F,B,D) & m2_relset_1(F,B,D) & v1_funct_1(F) -> (k1_partfun1(A,B,B,D,C,F) = k1_partfun1(A,B,B,D,C,E) -> F = E))))))) <-> k2_relat_1(C) = B)))) # label(t22_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1932 (all A (m1_subset_1(A,f1_s3_funct_2) -> (exists B (p1_s3_funct_2(A,B) & m1_subset_1(B,f2_s3_funct_2))))) -> (exists A (v1_funct_1(A) & v1_funct_2(A,f1_s3_funct_2,f2_s3_funct_2) & 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)))))) # label(s3_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1933 (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 k1_tarski(E) != B) & r1_tarski(k5_partfun1(A,B,C),k5_partfun1(A,B,D)) -> r1_tarski(D,C)))))) # label(t167_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1934 $T # label(t103_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1935 (all A all B all C all D (m2_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) -> (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].
11.36/11.06	1936 $T # label(t117_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1937 (all A all B all C (m2_relset_1(C,A,B) -> (k1_xboole_0 = B -> k1_xboole_0 = A | (C = k1_xboole_0 <-> v1_funct_2(C,A,B))) & ((k1_xboole_0 = B -> A = k1_xboole_0) -> (v1_funct_2(C,A,B) <-> A = k4_relset_1(A,B,C))))) # label(d1_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1938 $T # label(t126_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1939 $T # label(t71_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1940 (all A all B (m1_relset_1(B,A,A) -> (v1_funct_2(B,A,A) & v1_relat_2(B) & v1_partfun1(B,A,A) & v1_funct_1(B) -> v1_funct_1(B) & v2_funct_1(B) & v1_funct_2(B,A,A) & v3_funct_2(B,A,A) & v2_funct_2(B,A,A)))) # label(cc4_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1941 (all A all B all C (v1_funct_1(C) & v1_relat_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].
11.36/11.06	1942 (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_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)))) -> E = D))))) # label(t118_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1943 $T # label(t57_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1944 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_funct_1(A) & v1_funct_2(A,k1_relat_1(A),k2_relat_1(A)) & m2_relset_1(A,k1_relat_1(A),k2_relat_1(A)))) # label(t3_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1945 (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) -> A != k1_xboole_0 & B = k1_xboole_0 | r2_hidden(D,k5_partfun1(A,B,C))))))) # label(t155_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1946 (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(k2_relat_1(D),C) -> v1_funct_1(D) & m2_relset_1(D,A,C) & v1_funct_2(D,A,C) | B = k1_xboole_0 & A != k1_xboole_0))) # label(t8_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1947 (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) -> v1_funct_2(k2_partfun1(A,B,D,C),C,B) & m2_relset_1(k2_partfun1(A,B,D,C),C,B) & v1_funct_1(k2_partfun1(A,B,D,C)) | B = k1_xboole_0 & A != k1_xboole_0))) # label(t38_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1948 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> ((all D (r2_hidden(D,A) -> r2_hidden(k1_funct_1(C,D),B))) & A = k1_relat_1(C) -> v1_funct_1(C) & m2_relset_1(C,A,B) & v1_funct_2(C,A,B)))) # label(t5_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1949 (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) & v3_funct_2(k6_funct_2(A,B),A,A) & m2_relset_1(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].
11.36/11.06	1950 (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 -(k1_funct_1(D,E) = C & r2_hidden(E,A))) & k2_relat_1(D) = B & r2_hidden(C,B)))) # label(t17_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1951 $T # label(t138_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1952 $T # label(t163_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1953 (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].
11.36/11.06	1954 $T # label(t95_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1955 $T # label(t58_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1956 (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_1(D) & v1_funct_2(D,B,A) & m2_relset_1(D,B,A) -> (k6_partfun1(B) = k1_partfun1(B,A,A,B,D,C) -> B = k2_relat_1(C)))))) # label(t24_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1957 (all A all B all C all D all 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) -> (r2_hidden(E,B) & r2_hidden(D,A) -> 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].
11.36/11.06	1958 (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].
11.36/11.06	1959 $T # label(t150_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1960 $T # label(t111_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1961 (all A all B k5_partfun1(A,B,k3_partfun1(k1_xboole_0,A,B)) = k1_funct_2(A,B)) # label(t160_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1962 (all A (k1_xboole_0 != A -> k1_funct_2(A,k1_xboole_0) = k1_xboole_0)) # label(t14_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1963 (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) -> (k2_relat_1(k1_partfun1(A,B,B,C,D,E)) = C & v2_funct_1(E) -> k2_relat_1(D) = B | C = k1_xboole_0))))) # label(t28_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1964 (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 & -v2_funct_1(C) & (exists D (v1_funct_1(D) & k6_partfun1(A) = k1_partfun1(A,B,B,A,C,D) & m2_relset_1(D,B,A) & v1_funct_2(D,B,A)))))) # label(t37_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1965 $T # label(t106_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1966 (all A exists B (m1_relset_1(B,A,A) & v1_funct_1(B) & v2_funct_1(B) & v1_funct_2(B,A,A) & v2_funct_2(B,A,A) & v3_funct_2(B,A,A) & v1_relat_1(B))) # label(rc2_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1967 $T # label(t72_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1968 (all A all B all C (v1_funct_1(B) & v3_funct_2(B,A,A) & m1_relset_1(B,A,A) & v1_funct_2(C,A,A) & v3_funct_2(C,A,A) & m1_relset_1(C,A,A) & v1_funct_1(C) & v1_funct_2(B,A,A) -> k5_funct_2(A,B,C) = k5_relat_1(B,C))) # label(redefinition_k5_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1969 (all A all B exists C (v1_funct_1(C) & v1_funct_2(C,A,B) & v1_relat_1(C) & m1_relset_1(C,A,B))) # label(rc1_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1970 (all A all B all C all D (v1_funct_2(D,k2_zfmisc_1(k1_tarski(A),k1_tarski(B)),k1_tarski(C)) & m2_relset_1(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].
11.36/11.06	1971 (exists 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) & v1_funct_1(A))) # label(s4_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1972 (exists A (m2_relset_1(A,f1_s10_funct_2,f2_s10_funct_2) & k8_funct_2(f1_s10_funct_2,f2_s10_funct_2,A,f3_s10_funct_2) = f4_s10_funct_2 & (all B (m1_subset_1(B,f1_s10_funct_2) -> (B != f3_s10_funct_2 -> k8_funct_2(f1_s10_funct_2,f2_s10_funct_2,A,B) = f5_s10_funct_2(B)))) & 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].
11.36/11.06	1973 (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 -((all F -(r2_hidden(F,C) & k1_funct_1(D,F) = E & r2_hidden(F,A))) & r2_hidden(E,k2_funct_2(A,B,D,C)))))) # label(t115_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1974 (all A all B (v1_funct_1(B) & v1_funct_2(B,A,A) & m2_relset_1(B,A,A) -> (v2_funct_1(B) & A = k2_relat_1(B) -> v1_funct_1(B) & v1_funct_2(B,A,A) & m2_relset_1(B,A,A) & v3_funct_2(B,A,A)))) # label(t83_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1975 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,k1_tarski(A),B) & v1_funct_2(C,k1_tarski(A),B) -> (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].
11.36/11.06	1976 $T # label(t107_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1977 (all A all B (v1_funct_1(B) & m2_relset_1(B,A,A) & v1_funct_2(B,A,A) -> (v2_funct_1(B) -> (all C all D (r2_hidden(C,A) & k1_funct_1(B,D) = k1_funct_1(B,C) & r2_hidden(D,A) -> D = C))))) # label(t85_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1978 $T # label(t137_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1979 (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) -> k2_funct_2(A,B,C,A) = k2_relat_1(C)))) # label(t45_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1980 (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_relat_1(E) & v1_funct_1(E) -> (r2_hidden(C,A) -> k1_funct_1(E,k1_funct_1(D,C)) = k1_funct_1(k5_relat_1(D,E),C) | k1_xboole_0 = B))))) # label(t21_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1981 (all A all B all C (v1_funct_1(B) & v1_funct_2(C,A,A) & m1_relset_1(C,A,A) & v1_funct_1(C) & m1_relset_1(B,A,A) & v1_funct_2(B,A,A) -> v1_funct_2(k4_funct_2(A,B,C),A,A) & m2_relset_1(k4_funct_2(A,B,C),A,A) & v1_funct_1(k4_funct_2(A,B,C)))) # label(dt_k4_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1982 (all A all B (v1_funct_1(B) & m2_relset_1(B,A,A) & v1_funct_2(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(t77_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1983 (all A all B (v1_funct_2(B,A,A) & v3_funct_2(B,A,A) & m2_relset_1(B,A,A) & v1_funct_1(B) -> k5_funct_2(A,k6_funct_2(A,B),B) = k6_partfun1(A) & k6_partfun1(A) = k5_funct_2(A,B,k6_funct_2(A,B)))) # label(t88_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1984 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> r1_tarski(k5_partfun1(A,B,C),k1_funct_2(A,B)))) # label(t159_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1985 (all A all B (v1_funct_2(B,A,A) & m2_relset_1(B,A,A) & v1_funct_1(B) -> r2_hidden(B,k1_funct_2(A,A)))) # label(t12_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1986 (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) & m2_relset_1(D,B,A) & v1_funct_2(D,B,A) -> (k2_relat_1(C) = B & (all E all F ((r2_hidden(F,A) & E = k1_funct_1(C,F) -> r2_hidden(E,B) & k1_funct_1(D,E) = F) & (F = k1_funct_1(D,E) & r2_hidden(E,B) -> r2_hidden(F,A) & k1_funct_1(C,F) = E))) & v2_funct_1(C) -> A = k1_xboole_0 | D = k2_funct_1(C) | k1_xboole_0 = B))))) # label(t34_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1987 (all A all B all C (v1_funct_1(C) & v1_funct_2(C,A,B) & m2_relset_1(C,A,B) -> (k2_relat_1(C) = B & v2_funct_1(C) -> k1_xboole_0 = B | k6_partfun1(B) = k5_relat_1(k2_funct_1(C),C) & k6_partfun1(A) = k5_relat_1(C,k2_funct_1(C))))) # label(t35_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1988 (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,B,C) & m2_relset_1(E,B,C) -> (v2_funct_1(k1_partfun1(A,B,B,C,D,E)) -> v2_funct_1(D) | k1_xboole_0 != A & B = k1_xboole_0 | C = k1_xboole_0 & k1_xboole_0 != B))))) # label(t26_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1989 (all A all B (v1_funct_1(B) & v1_funct_2(B,A,A) & m2_relset_1(B,A,A) -> k2_relat_1(B) = k2_funct_2(A,A,B,A))) # label(t79_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1990 (all A -v1_xboole_0(k1_funct_2(A,A))) # label(fc2_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1991 $T # label(t108_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1992 (all A (m1_subset_1(A,f1_s7_funct_2) -> (all B (m1_subset_1(B,f2_s7_funct_2) -> (exists C (p1_s7_funct_2(A,B,C) & m1_subset_1(C,f3_s7_funct_2))))))) -> (exists A (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_2(A,k2_zfmisc_1(f1_s7_funct_2,f2_s7_funct_2),f3_s7_funct_2) & v1_funct_1(A))) # label(s7_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1993 (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) -> (k5_partfun1(A,B,C) = k5_partfun1(A,B,D) & (all E k1_tarski(E) != B) -> D = C))))) # label(t168_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1994 $T # label(t80_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1995 (all A all B all C (r2_hidden(C,k1_funct_2(A,B)) -> v1_funct_2(C,A,B) & m2_relset_1(C,A,B) & v1_funct_1(C))) # label(t121_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1996 (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) -> A = k3_funct_2(A,B,C,k2_funct_2(A,B,C,A))))) # label(t51_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1997 (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].
11.36/11.06	1998 (all A all B (v1_funct_1(B) & v1_funct_2(B,A,A) & m2_relset_1(B,A,A) -> k3_funct_2(A,A,B,k2_funct_2(A,A,B,A)) = A)) # label(t82_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	1999 (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 != A & -(v2_funct_1(C) <-> (all D all E (v1_funct_1(E) & v1_funct_2(E,D,A) & m2_relset_1(E,D,A) -> (all F (m2_relset_1(F,D,A) & v1_funct_2(F,D,A) & v1_funct_1(F) -> (k1_partfun1(D,A,A,B,F,C) = k1_partfun1(D,A,A,B,E,C) -> F = E)))))) & B != k1_xboole_0))) # label(t27_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2000 (all A all B all C (v1_funct_1(k9_funct_2(A,B,C)) & v1_funct_2(k9_funct_2(A,B,C),k2_zfmisc_1(k1_tarski(A),k1_tarski(B)),k1_tarski(C)) & m2_relset_1(k9_funct_2(A,B,C),k2_zfmisc_1(k1_tarski(A),k1_tarski(B)),k1_tarski(C)))) # label(dt_k9_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2001 (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 -> k1_xboole_0 = A) -> r2_hidden(C,k1_funct_2(A,B))))) # label(t11_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2002 (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].
11.36/11.06	2003 $T # label(t99_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2004 (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].
11.36/11.06	2005 (all A all B all C (v1_funct_2(C,A,k1_tarski(B)) & 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)) -> C = D)))) # label(t66_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2006 (all A all B all C all D (v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D) -> (B != k1_xboole_0 -> (all E ((exists F (r2_hidden(F,C) & E = k1_funct_1(D,F) & r2_hidden(F,A))) -> r2_hidden(E,k9_relat_1(D,C))))))) # label(t43_funct_2) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2007 (all A (v1_funct_1(A) & v1_relat_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].
11.36/11.06	2008 (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].
11.36/11.06	2009 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_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].
11.36/11.06	2010 $T # label(t67_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2011 (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_zfmisc_1(k1_relat_1(A),k1_relat_1(B)) = k1_relat_1(C) & (all D all E (r2_hidden(D,k1_relat_1(A)) & r2_hidden(E,k1_relat_1(B)) -> k4_tarski(k1_funct_1(A,D),k1_funct_1(B,E)) = k1_funct_1(C,k4_tarski(D,E)))) <-> C = k15_funct_3(A,B)))))))) # label(d9_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2012 (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].
11.36/11.06	2013 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> k10_relat_1(k15_funct_3(C,D),k2_zfmisc_1(A,B)) = k2_zfmisc_1(k10_relat_1(C,A),k10_relat_1(D,B)))))) # label(t94_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2014 (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) & m2_relset_1(E,A,C) & v1_funct_2(E,A,C) -> 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].
11.36/11.06	2015 $T # label(t23_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2016 (all A all B all C (v1_funct_2(C,A,B) & m1_relset_1(C,A,B) & v1_funct_1(C) & -v1_xboole_0(B) -> k2_funct_3(A,B,C) = k1_funct_3(C))) # label(redefinition_k2_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2017 (all A all B (v1_relat_1(B) & v1_funct_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].
11.36/11.06	2018 (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))) & (all A all B all C all D (r2_hidden(A,f1_s1_funct_3) & r2_hidden(B,f2_s1_funct_3) & p1_s1_funct_3(A,B,C) & p1_s1_funct_3(A,B,D) -> D = C)) -> (exists A (k1_relat_1(A) = k2_zfmisc_1(f1_s1_funct_3,f2_s1_funct_3) & (all B all C (r2_hidden(C,f2_s1_funct_3) & r2_hidden(B,f1_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].
11.36/11.06	2019 (all A k12_funct_3(A) = k11_funct_3(A)) # label(redefinition_k12_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2020 $T # label(t55_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2021 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> k2_relat_1(k15_funct_3(A,B)) = k2_zfmisc_1(k2_relat_1(A),k2_relat_1(B)))))) # label(t88_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2022 $T # label(t51_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2023 (all A all B k6_relat_1(k2_zfmisc_1(A,B)) = k13_funct_3(k9_funct_3(A,B),k10_funct_3(A,B))) # label(t73_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2024 (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 (m2_relset_1(F,B,D) & v1_funct_2(F,B,D) & v1_funct_1(F) -> k16_funct_3(A,B,C,D,E,F) = k13_funct_3(k5_relat_1(k9_funct_3(A,B),E),k5_relat_1(k10_funct_3(A,B),F)))))))))) # label(t98_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2025 $T # label(t54_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2026 (all A all B (v1_relat_1(B) & v1_funct_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].
11.36/11.06	2027 $T # label(t52_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2028 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_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].
11.36/11.06	2029 (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].
11.36/11.06	2030 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> k6_funct_3(A,B) = k6_relat_1(B))) # label(redefinition_k6_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2031 (all A all B (v1_funct_1(k9_funct_3(A,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))) # label(dt_k9_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2032 (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].
11.36/11.06	2033 $T # label(t7_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2034 (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].
11.36/11.06	2035 (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) -> k5_relat_1(k15_funct_3(B,D),k15_funct_3(A,C)) = k15_funct_3(k5_relat_1(B,A),k5_relat_1(D,C)))))))))) # label(t92_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2036 (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].
11.36/11.06	2037 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (A = k1_relat_1(B) & k1_relat_1(C) = A -> k1_relat_1(k13_funct_3(B,C)) = A))))) # label(t70_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2038 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> k15_funct_3(A,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)))))) # label(t87_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2039 (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].
11.36/11.06	2040 $T # label(t26_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2041 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> k2_zfmisc_1(k9_relat_1(C,A),k9_relat_1(D,B)) = k9_relat_1(k15_funct_3(C,D),k2_zfmisc_1(A,B)))))) # label(t93_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2042 $T # label(t65_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2043 (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(C) = A & k1_relat_1(B) = A -> 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].
11.36/11.06	2044 (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].
11.36/11.06	2045 $T # label(t63_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2046 (all A all B (v1_funct_1(k5_funct_3(A,B)) & v1_funct_2(k5_funct_3(A,B),B,k2_tarski(np__0,np__1)) & m2_relset_1(k5_funct_3(A,B),B,k2_tarski(np__0,np__1)))) # label(dt_k5_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2047 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (C = k7_funct_3(A,B) <-> (all D all E (r2_hidden(E,B) & r2_hidden(D,A) -> D = k1_funct_1(C,k4_tarski(D,E)))) & k2_zfmisc_1(A,B) = k1_relat_1(C)))) # label(d5_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2048 (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].
11.36/11.06	2049 (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(D) & r2_hidden(A,B) & B = k1_relat_1(C) -> k4_tarski(k1_funct_1(C,A),k1_funct_1(D,A)) = k1_funct_1(k13_funct_3(C,D),A)))))) # label(t69_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2050 (all A all B (k1_xboole_0 != A -> k2_relat_1(k7_funct_3(B,A)) = B)) # label(t60_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2051 (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].
11.36/11.06	2052 (all A all B (v1_relat_1(k4_funct_3(A,B)) & v1_funct_1(k4_funct_3(A,B)))) # label(dt_k4_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2053 (all A all B k5_funct_3(A,B) = k4_funct_3(A,B)) # label(redefinition_k5_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2054 (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,C) & m2_relset_1(E,A,C) -> -(-(D = k5_relat_1(k13_funct_3(D,E),k9_funct_3(B,C)) & k5_relat_1(k13_funct_3(D,E),k10_funct_3(B,C)) = E) & (k1_xboole_0 = C -> k1_xboole_0 = A) & (k1_xboole_0 = B -> A = k1_xboole_0)))))) # label(t81_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2055 (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].
11.36/11.06	2056 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> ((all C (r1_tarski(C,k2_relat_1(A)) -> k1_funct_1(B,C) = k10_relat_1(A,C))) & k1_zfmisc_1(k2_relat_1(A)) = k1_relat_1(B) <-> k3_funct_3(A) = B))))) # label(d2_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2057 $T # label(t11_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2058 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (B = k1_funct_3(A) <-> k1_zfmisc_1(k1_relat_1(A)) = k1_relat_1(B) & (all C (r1_tarski(C,k1_relat_1(A)) -> k1_funct_1(B,C) = k9_relat_1(A,C)))))))) # label(d1_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2059 (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,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].
11.36/11.06	2060 (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].
11.36/11.06	2061 (all 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_2(E,A,B) & m2_relset_1(E,A,B) & v1_funct_1(E) -> (all F (m2_relset_1(F,A,C) & v1_funct_2(F,A,C) & v1_funct_1(F) -> (all G (v1_funct_1(G) & m2_relset_1(G,A,C) & v1_funct_2(G,A,C) -> (k14_funct_3(A,B,C,D,F) = k14_funct_3(A,B,C,E,G) -> F = G & D = E))))))))))))) # label(t84_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2062 (all A all B (A != k1_xboole_0 -> k2_relat_1(k8_funct_3(A,B)) = B)) # label(t62_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2063 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (k1_relat_1(D) = k2_zfmisc_1(A,B) & (all E all F (r2_hidden(E,A) & r2_hidden(F,B) -> k1_funct_1(D,k4_tarski(E,F)) = k1_funct_1(C,k4_tarski(E,F)))) & k1_relat_1(C) = k2_zfmisc_1(A,B) -> C = D))))) # label(t6_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2064 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (C = k4_funct_3(A,B) <-> B = k1_relat_1(C) & (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].
11.36/11.06	2065 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (v2_funct_1(B) -> k5_relat_1(k3_funct_3(B),k3_funct_3(A)) = k3_funct_3(k5_relat_1(A,B))))))) # label(t38_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2066 (all A all B all C all D all E all F (m1_relset_1(F,B,D) & v1_funct_2(F,B,D) & v1_funct_1(F) & m1_relset_1(E,A,C) & v1_funct_2(E,A,C) & v1_funct_1(E) -> 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].
11.36/11.06	2067 (all A all B (v1_funct_1(B) & v1_relat_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].
11.36/11.06	2068 (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].
11.36/11.06	2069 $T # label(d4_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2070 (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].
11.36/11.06	2071 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(k10_relat_1(C,A),k2_relat_1(B)) & r1_tarski(A,k2_relat_1(C)) -> r1_tarski(A,k2_relat_1(k5_relat_1(B,C)))))))) # label(t5_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2072 (all A all B (v1_relat_1(B) & v1_funct_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].
11.36/11.06	2073 $T # label(t40_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2074 (all A (v1_funct_1(A) & v1_relat_1(A) -> k1_funct_1(k1_funct_3(A),k1_xboole_0) = k1_xboole_0)) # label(t9_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	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) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (k1_relat_1(D) = k1_relat_1(C) & k13_funct_3(A,B) = k13_funct_3(D,C) & k1_relat_1(B) = k1_relat_1(A) -> D = A & B = C))))))))) # label(t74_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2076 $T # label(t64_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2077 (all A (v1_funct_1(A) & v1_relat_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].
11.36/11.06	2078 (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].
11.36/11.06	2079 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (k1_relat_1(B) = A & (all C (r2_hidden(C,A) -> k4_tarski(C,C) = k1_funct_1(B,C))) <-> B = k11_funct_3(A)))) # label(d7_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2080 (all A all B all C all D all E (-v1_xboole_0(B) & v1_funct_1(D) & v1_funct_2(D,A,B) & v1_funct_1(E) & m1_relset_1(E,A,C) & v1_funct_2(E,A,C) & m1_relset_1(D,A,B) & -v1_xboole_0(C) -> k13_funct_3(D,E) = k14_funct_3(A,B,C,D,E))) # label(redefinition_k14_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2081 (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].
11.36/11.06	2082 (all A all B (v1_relat_1(k7_funct_3(A,B)) & v1_funct_1(k7_funct_3(A,B)))) # label(dt_k7_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2083 (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) -> (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].
11.36/11.06	2084 (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].
11.36/11.06	2085 (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].
11.36/11.06	2086 (all 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 (v1_funct_1(E) & v1_funct_2(E,A,C) & m2_relset_1(E,A,C) -> D = k7_funct_2(A,k2_zfmisc_1(B,C),B,k14_funct_3(A,B,C,D,E),k9_funct_3(B,C)) & E = k7_funct_2(A,k2_zfmisc_1(B,C),C,k14_funct_3(A,B,C,D,E),k10_funct_3(B,C)))))))))) # label(t82_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2087 (all A (v1_relat_1(A) & v1_funct_1(A) -> v1_funct_1(k1_funct_3(A)) & m2_relset_1(k1_funct_3(A),k1_zfmisc_1(k1_relat_1(A)),k1_zfmisc_1(k2_relat_1(A))) & v1_funct_2(k1_funct_3(A),k1_zfmisc_1(k1_relat_1(A)),k1_zfmisc_1(k2_relat_1(A))))) # label(t21_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2088 (all A (v1_relat_1(A) & v1_funct_1(A) -> v1_funct_1(k3_funct_3(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))))) # label(t39_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2089 (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(F,B,D) & v1_funct_2(F,B,D) & v1_funct_1(F) & m1_relset_1(E,A,C) -> v1_funct_1(k16_funct_3(A,B,C,D,E,F)) & 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)))) # label(dt_k16_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2090 (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].
11.36/11.06	2091 (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) -> -((k1_xboole_0 = B -> k1_xboole_0 = A) & -(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)) & v1_funct_1(k13_funct_3(D,E))) & (C = k1_xboole_0 -> A = k1_xboole_0)))))) # label(t78_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.06	2092 (all A all B (v1_relat_1(B) & v1_funct_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].
11.36/11.07	2093 (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].
11.36/11.07	2094 (all A all B all C (r1_tarski(A,B) & r1_tarski(C,B) & k4_funct_3(C,B) = k4_funct_3(A,B) -> C = A)) # label(t47_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.07	2095 (all A all B (v1_funct_1(B) & v1_relat_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].
11.36/11.07	2096 (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) & m2_relset_1(E,A,B) & v1_funct_2(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) -> B = k1_xboole_0 & k1_xboole_0 != A | A != k1_xboole_0 & C = k1_xboole_0 | F = G & E = D))))))))) # label(t83_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.07	2097 $T # label(t44_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.07	2098 (all A all B all C (-v1_xboole_0(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,A,C) & m2_relset_1(D,A,C) -> (r1_tarski(B,k1_zfmisc_1(A)) -> k3_tarski(k9_relat_1(k1_funct_3(D),B)) = k2_funct_2(A,C,D,k3_tarski(B))))))) # label(t17_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.07	2099 (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].
11.36/11.07	2100 $T # label(t50_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.07	2101 (exists A (v1_relat_1(A) & v1_funct_1(A) & k1_relat_1(A) = k2_zfmisc_1(f1_s2_funct_3,f2_s2_funct_3) & (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))))) # label(s2_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.07	2102 (all A all B all C all D all E (-v1_xboole_0(B) & v1_funct_1(D) & v1_funct_2(D,A,B) & v1_funct_1(E) & m1_relset_1(E,A,C) & v1_funct_2(E,A,C) & m1_relset_1(D,A,B) & -v1_xboole_0(C) -> v1_funct_2(k14_funct_3(A,B,C,D,E),A,k2_zfmisc_1(B,C)) & m2_relset_1(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].
11.36/11.07	2103 (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].
11.36/11.07	2104 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (k8_funct_3(A,B) = C <-> k2_zfmisc_1(A,B) = k1_relat_1(C) & (all D all E (r2_hidden(D,A) & r2_hidden(E,B) -> k1_funct_1(C,k4_tarski(D,E)) = E))))) # label(d6_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.07	2105 (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 (v1_funct_2(E,A,C) & m2_relset_1(E,A,C) & v1_funct_1(E) -> (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].
11.36/11.07	2106 (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 (m2_relset_1(F,C,D) & v1_funct_2(F,C,D) & v1_funct_1(F) -> m2_relset_1(k15_funct_3(E,F),k2_zfmisc_1(A,C),k2_zfmisc_1(B,D)) & v1_funct_2(k15_funct_3(E,F),k2_zfmisc_1(A,C),k2_zfmisc_1(B,D)) & v1_funct_1(k15_funct_3(E,F)))))) # label(t95_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.36/11.07	2107 (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(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].
11.40/11.07	2108 $T # label(t41_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2109 (all A all B (v1_relat_1(A) & v1_funct_1(A) & v1_funct_1(B) & v1_relat_1(B) -> 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].
11.40/11.07	2110 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (k1_relat_1(D) = k1_relat_1(C) & r1_tarski(k2_relat_1(C),A) & r1_tarski(k2_relat_1(D),B) -> k5_relat_1(k13_funct_3(C,D),k10_funct_3(A,B)) = D & k5_relat_1(k13_funct_3(C,D),k9_funct_3(A,B)) = C))))) # label(t72_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2111 (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].
11.40/11.07	2112 (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 (m2_relset_1(F,C,D) & v1_funct_2(F,C,D) & v1_funct_1(F) -> -((D = k1_xboole_0 -> k1_xboole_0 = C) & 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) & (B = k1_xboole_0 -> A = k1_xboole_0)))))) # label(t97_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2113 (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) -> 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].
11.40/11.07	2114 (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].
11.40/11.07	2115 (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].
11.40/11.07	2116 $T # label(t85_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2117 (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) -> k10_relat_1(k3_funct_3(A),B) = k9_relat_1(k1_funct_3(A),B))))) # label(t37_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2118 (all A all B k15_funct_3(k6_relat_1(A),k6_relat_1(B)) = k6_relat_1(k2_zfmisc_1(A,B))) # label(t90_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2119 (all A all B all C (v1_funct_1(C) & v1_funct_2(C,A,B) & m2_relset_1(C,A,B) -> ((k1_xboole_0 = B -> A = k1_xboole_0) -> 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].
11.40/11.07	2120 (all A all B all C (v1_funct_1(C) & m1_relset_1(C,A,B) & v1_funct_2(C,A,B) & -v1_xboole_0(B) -> v1_funct_1(k2_funct_3(A,B,C)) & 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)))) # label(dt_k2_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2121 (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].
11.40/11.07	2122 (all A all B (v1_funct_2(B,A,k2_tarski(np__0,np__1)) & m2_relset_1(B,A,k2_tarski(np__0,np__1)) & v1_funct_1(B) -> 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].
11.40/11.07	2123 (all A all B (v1_relat_1(B) & v1_funct_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].
11.40/11.07	2124 (all A all B (v1_relat_1(B) & v1_funct_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].
11.40/11.07	2125 (all A all B (-v1_xboole_0(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> k10_relat_1(k13_funct_3(C,D),k2_zfmisc_1(A,B)) = k3_xboole_0(k10_relat_1(C,A),k10_relat_1(D,B)))))))) # label(t77_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2126 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_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].
11.40/11.07	2127 (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].
11.40/11.07	2128 (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) & m2_relset_1(E,A,C) & v1_funct_2(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].
11.40/11.07	2129 (all A all B (v1_funct_1(B) & v1_relat_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].
11.40/11.07	2130 (all A all B (v1_funct_1(B) & v1_relat_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].
11.40/11.07	2131 (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].
11.40/11.07	2132 $T # label(t57_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2133 (all A all B (v1_funct_1(B) & v1_relat_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].
11.40/11.07	2134 $T # label(t46_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2135 (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].
11.40/11.07	2136 (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].
11.40/11.07	2137 (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_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].
11.40/11.07	2138 $T # label(t58_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2139 (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) -> (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].
11.40/11.07	2140 $T # label(t45_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2141 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(k9_relat_1(B,A),k1_relat_1(C)) & r1_tarski(A,k1_relat_1(B)) -> r1_tarski(A,k1_relat_1(k5_relat_1(B,C)))))))) # label(t3_funct_3) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2142 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> k7_subset_1(A,B,C) = a_3_7_domain_1(A,B,C))))))) # label(t64_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2143 (all A all B (-v1_xboole_0(B) -> ((exists C (C = A & -$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].
11.40/11.07	2144 (all A all B all C all D all E (-v1_xboole_0(B) & -v1_xboole_0(C) & m1_subset_1(E,k1_zfmisc_1(C)) & m1_subset_1(D,k1_zfmisc_1(B)) -> ((exists F exists G (m1_subset_1(F,B) & A = k1_domain_1(B,C,F,G) & r2_hidden(G,E) & r2_hidden(F,D) & m1_subset_1(G,C))) <-> r2_hidden(A,a_4_1_domain_1(B,C,D,E))))) # label(fraenkel_a_4_1_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2145 (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].
11.40/11.07	2146 $T # label(t6_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2147 (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)) -> k6_subset_1(A,B,C) = a_3_3_domain_1(A,B,C))))))) # label(t60_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2148 (all A all B all C all D all E all F all G (-v1_xboole_0(B) & 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) -> ((exists H exists I exists J (m1_subset_1(J,D) & A = k4_domain_1(B,C,D,H,I,J) & r2_hidden(H,E) & r2_hidden(I,F) & r2_hidden(J,G) & m1_subset_1(I,C) & m1_subset_1(H,B))) <-> r2_hidden(A,a_6_0_domain_1(B,C,D,E,F,G))))) # label(fraenkel_a_6_0_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2149 (all A (-v1_xboole_0(A) -> a_1_0_domain_1(A) = A)) # label(t48_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2150 (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)) -> (k7_mcart_1(A,B,C,E) = k7_mcart_1(A,B,C,D) & k6_mcart_1(A,B,C,E) = k6_mcart_1(A,B,C,D) & k5_mcart_1(A,B,C,D) = k5_mcart_1(A,B,C,E) -> E = D))))))))))) # label(t28_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2151 (all A all B all C all D (m1_subset_1(D,k2_zfmisc_1(A,k2_zfmisc_1(B,C))) & -v1_xboole_0(C) & -v1_xboole_0(B) & -v1_xboole_0(A) -> m1_subset_1(k16_domain_1(A,B,C,D),B))) # label(dt_k16_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2152 (all A all B all C all D all E (m1_subset_1(C,A) & m1_subset_1(E,A) & m1_subset_1(D,A) & m1_subset_1(B,A) & -v1_xboole_0(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].
11.40/11.07	2153 (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) -> (r2_hidden(A,a_3_7_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_7_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2154 (all A all B all C all D all E all F (-v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(E,A) & m1_subset_1(F,A) & m1_subset_1(D,A) & m1_subset_1(C,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].
11.40/11.07	2155 (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) -> (r2_hidden(A,a_3_3_domain_1(B,C,D)) <-> (exists E (m1_subset_1(E,B) & A = E & -r2_hidden(E,D) & r2_hidden(E,C)))))) # label(fraenkel_a_3_3_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2156 (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 (m1_subset_1(G,B) & (exists H (m1_subset_1(H,C) & (exists I (m1_subset_1(I,D) & (exists J (k4_mcart_1(G,H,I,J) = F & m1_subset_1(J,E))))))))) <-> r2_hidden(F,A))) <-> k4_zfmisc_1(B,C,D,E) = A))))))))))) # label(t33_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2157 (all A all B all C all D all E all F all G all H (-v1_xboole_0(D) & m1_subset_1(E,A) & m1_subset_1(G,C) & m1_subset_1(H,D) & m1_subset_1(F,B) & -v1_xboole_0(C) & -v1_xboole_0(B) & -v1_xboole_0(A) -> k4_mcart_1(E,F,G,H) = k5_domain_1(A,B,C,D,E,F,G,H))) # label(redefinition_k5_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2158 (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].
11.40/11.07	2159 (all A all B all C all D (-v1_xboole_0(A) & -v1_xboole_0(B) & m1_subset_1(C,A) & m1_subset_1(D,B) -> 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].
11.40/11.07	2160 (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].
11.40/11.07	2161 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> a_2_2_domain_1(A,B) = k3_subset_1(A,B))))) # label(t57_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2162 $T # label(t1_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2163 (all A (r2_hidden(A,a_0_2_domain_1) <-> (exists B exists C (f4_s9_domain_1(B,C) = A & p1_s9_domain_1(B,C) & m1_subset_1(C,f2_s9_domain_1) & m1_subset_1(B,f1_s9_domain_1))))) # label(fraenkel_a_0_2_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2164 $T # label(t21_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2165 (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 (m1_subset_1(F,B) & (exists G ((exists H ((exists I (k4_mcart_1(F,G,H,I) = A & m1_subset_1(I,E))) & m1_subset_1(H,D))) & m1_subset_1(G,C)))))))))))))) # label(t31_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2166 (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)) -> ((exists E (m1_subset_1(E,B) & A = E & (r2_hidden(E,D) <-> -r2_hidden(E,C)))) <-> r2_hidden(A,a_3_5_domain_1(B,C,D))))) # label(fraenkel_a_3_5_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2167 (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) -> m1_subset_1(k17_domain_1(A,B,C,D),C))) # label(dt_k17_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2168 $T # label(t34_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2169 $T # label(t3_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2170 $T # label(t8_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2171 $T # label(t36_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2172 (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 (m1_subset_1(G,B) & (exists H ((exists I (m1_subset_1(I,D) & (exists J (k4_mcart_1(G,H,I,J) = F & m1_subset_1(J,E))))) & m1_subset_1(H,C))))))) -> k4_zfmisc_1(B,C,D,E) = A))))))))))) # label(t32_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2173 (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].
11.40/11.07	2174 (all A all B all C all D (-v1_xboole_0(A) & m1_subset_1(D,A) & m1_subset_1(C,A) & m1_subset_1(B,A) -> k1_enumset1(B,C,D) = k8_domain_1(A,B,C,D))) # label(redefinition_k8_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2175 (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_2_domain_1(A,B,C) = k4_subset_1(A,B,C))))))) # label(t59_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2176 $T # label(t18_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2177 (all A all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> ((exists E ((exists F ((exists G (A = k3_mcart_1(E,F,G) & m1_subset_1(G,D))) & m1_subset_1(F,C))) & m1_subset_1(E,B))) <-> r2_hidden(A,k3_zfmisc_1(B,C,D))))))))) # label(t15_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2178 $T # label(t5_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2179 (all A all B all C (-v1_xboole_0(B) & m1_subset_1(C,k2_zfmisc_1(A,B)) & -v1_xboole_0(A) -> k2_mcart_1(C) = k3_domain_1(A,B,C))) # label(redefinition_k3_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2180 (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].
11.40/11.07	2181 $T # label(t13_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2182 (all A all B all C all D (-v1_xboole_0(B) & m1_subset_1(D,k2_zfmisc_1(A,k2_zfmisc_1(B,C))) & -v1_xboole_0(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].
11.40/11.07	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) -> (k3_zfmisc_1(B,C,D) = A <-> (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)))))))))))) # label(t17_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2184 (all A all B (-v1_xboole_0(B) -> (r2_hidden(A,a_1_5_domain_1(B)) <-> (exists C (p1_s6_domain_1(C) & A = C & m1_subset_1(C,B)))))) # label(fraenkel_a_1_5_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2185 $T # label(t22_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2186 $T # label(t2_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2187 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,A) -> k1_tarski(B) = k6_domain_1(A,B))) # label(redefinition_k6_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2188 $T # label(t44_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2189 (all A all B all C (m1_subset_1(C,k2_zfmisc_1(A,B)) & -v1_xboole_0(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].
11.40/11.07	2190 (all A all B all C all D all E all F all G (m1_subset_1(B,A) & m1_subset_1(D,A) & m1_subset_1(E,A) & m1_subset_1(G,A) & m1_subset_1(F,A) & m1_subset_1(C,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].
11.40/11.07	2191 (all A all B all C (-v1_xboole_0(B) & -v1_xboole_0(C) -> (r2_hidden(A,a_2_3_domain_1(B,C)) <-> (exists D exists E (A = k1_domain_1(B,C,D,E) & p1_s2_domain_1(D,E) & m1_subset_1(E,C) & m1_subset_1(D,B)))))) # label(fraenkel_a_2_3_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2192 (all A all B (-v1_xboole_0(B) -> (r2_hidden(A,a_1_2_domain_1(B)) <-> (exists C (p1_s1_domain_1(C) & A = C & m1_subset_1(C,B)))))) # label(fraenkel_a_1_2_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2193 (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) & A = B)))) # label(fraenkel_a_0_3_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2194 (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) & m1_subset_1(E,B))) <-> r2_hidden(A,a_3_1_domain_1(B,C,D))))) # label(fraenkel_a_3_1_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2195 (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(I,A) & m1_subset_1(H,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) -> k13_domain_1(A,B,C,D,E,F,G,H,I) = k6_enumset1(B,C,D,E,F,G,H,I))) # label(redefinition_k13_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2196 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,A) & m1_subset_1(B,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].
11.40/11.07	2197 (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_2_domain_1(B,C))))) # label(fraenkel_a_2_2_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2198 (all A all B all C all D all E all F (-v1_xboole_0(B) & m1_subset_1(D,A) & m1_subset_1(F,C) & m1_subset_1(E,B) & -v1_xboole_0(C) & -v1_xboole_0(A) -> k3_mcart_1(D,E,F) = k4_domain_1(A,B,C,D,E,F))) # label(redefinition_k4_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2199 (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].
11.40/11.07	2200 (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) -> (k4_domain_1(B,C,D,F,G,H) = E -> A = F))))))) <-> A = k5_mcart_1(B,C,D,E)))))))))) # label(t24_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2201 (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) -> (F = k5_domain_1(B,C,D,E,G,H,I,J) -> H = A))))))))) <-> k9_mcart_1(B,C,D,E,F) = A))))))))))) # label(t41_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2202 $T # label(t14_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2203 (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) -> 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].
11.40/11.07	2204 (all A all B all C all D (-v1_xboole_0(C) & m1_subset_1(D,k2_zfmisc_1(A,k2_zfmisc_1(B,C))) & -v1_xboole_0(B) & -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].
11.40/11.07	2205 (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) -> A = J)))))))))))))))))))) # label(t43_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2206 $T # label(t11_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2207 (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 (m1_subset_1(F,B) & (exists G ((exists H (E = k3_mcart_1(F,G,H) & m1_subset_1(H,D))) & m1_subset_1(G,C))))) <-> r2_hidden(E,A))) -> A = k3_zfmisc_1(B,C,D)))))))))) # label(t16_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2208 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(B)) & -v1_xboole_0(B) -> (r2_hidden(A,a_2_1_domain_1(B,C)) <-> (exists D (m1_subset_1(D,B) & r2_hidden(D,C) & A = D))))) # label(fraenkel_a_2_1_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2209 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,k2_zfmisc_1(A,B)) & -v1_xboole_0(B) -> m1_subset_1(k3_domain_1(A,B,C),B))) # label(dt_k3_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2210 (all A all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> -((all D (m1_subset_1(D,B) -> (all E (m1_subset_1(E,C) -> k4_tarski(D,E) != A)))) & r2_hidden(A,k2_zfmisc_1(B,C))))))) # label(t9_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2211 (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].
11.40/11.07	2212 (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(D) = k2_mcart_1(C) -> D = C))))))))) # label(t12_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2213 (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].
11.40/11.07	2214 (all A all B all C all D all E all F all G all H (-v1_xboole_0(A) & m1_subset_1(G,A) & m1_subset_1(H,A) & m1_subset_1(F,A) & m1_subset_1(E,A) & m1_subset_1(D,A) & m1_subset_1(C,A) & m1_subset_1(B,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].
11.40/11.07	2215 (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].
11.40/11.07	2216 (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) -> (r2_hidden(A,a_3_2_domain_1(B,C,D)) <-> (exists E ((r2_hidden(E,D) | r2_hidden(E,C)) & A = E & m1_subset_1(E,B)))))) # label(fraenkel_a_3_2_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2217 $T # label(t37_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2218 $T # label(t39_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2219 $T # label(t23_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2220 (all A all B all C (-v1_xboole_0(C) & -v1_xboole_0(B) -> ((exists D exists E (m1_subset_1(D,B) & m1_subset_1(E,C) & A = k1_domain_1(B,C,D,E))) <-> r2_hidden(A,a_2_0_domain_1(B,C))))) # label(fraenkel_a_2_0_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	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].
11.40/11.07	2222 (all A all B (-v1_xboole_0(B) -> (r2_hidden(A,a_1_3_domain_1(B)) <-> (exists C (C = A & p1_s5_domain_1(C) & m1_subset_1(C,B)))))) # label(fraenkel_a_1_3_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2223 (all A all B all C all D all E all F all G all H all I (-v1_xboole_0(B) & -v1_xboole_0(C) & m1_subset_1(F,k1_zfmisc_1(B)) & m1_subset_1(I,k1_zfmisc_1(E)) & m1_subset_1(H,k1_zfmisc_1(D)) & m1_subset_1(G,k1_zfmisc_1(C)) & -v1_xboole_0(E) & -v1_xboole_0(D) -> (r2_hidden(A,a_8_0_domain_1(B,C,D,E,F,G,H,I)) <-> (exists J exists K exists L exists M (m1_subset_1(J,B) & k5_domain_1(B,C,D,E,J,K,L,M) = A & r2_hidden(M,I) & r2_hidden(L,H) & r2_hidden(K,G) & r2_hidden(J,F) & m1_subset_1(M,E) & m1_subset_1(L,D) & m1_subset_1(K,C)))))) # label(fraenkel_a_8_0_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2224 (all A all B (m1_subset_1(B,A) & -v1_xboole_0(A) -> m1_subset_1(k6_domain_1(A,B),k1_zfmisc_1(A)))) # label(dt_k6_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2225 (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) -> (r2_hidden(A,a_3_6_domain_1(B,C,D)) <-> (exists E (m1_subset_1(E,B) & (r2_hidden(E,C) <-> -r2_hidden(E,D)) & A = E))))) # label(fraenkel_a_3_6_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2226 $T # label(t7_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2227 (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].
11.40/11.07	2228 (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].
11.40/11.07	2229 (all A all B all C (m1_subset_1(C,A) & m1_subset_1(B,A) & -v1_xboole_0(A) -> k7_domain_1(A,B,C) = k2_tarski(B,C))) # label(redefinition_k7_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2230 (all A all B all C all D (-v1_xboole_0(A) & -v1_xboole_0(B) & -v1_xboole_0(C) & m1_subset_1(D,k2_zfmisc_1(k2_zfmisc_1(A,B),C)) -> k15_domain_1(A,B,C,D) = k18_mcart_1(D))) # label(redefinition_k15_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2231 (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) -> m1_subset_1(k15_domain_1(A,B,C,D),B))) # label(dt_k15_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2232 (all A all B all C all D all E all F (m1_subset_1(B,A) & m1_subset_1(D,A) & m1_subset_1(F,A) & m1_subset_1(E,A) & m1_subset_1(C,A) & -v1_xboole_0(A) -> k3_enumset1(B,C,D,E,F) = k10_domain_1(A,B,C,D,E,F))) # label(redefinition_k10_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2233 (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) -> A = H))))))) <-> k7_mcart_1(B,C,D,E) = A))))))))) # label(t26_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2234 (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].
11.40/11.07	2235 (all A all B all C all D (-v1_xboole_0(A) & -v1_xboole_0(B) & m1_subset_1(D,B) & m1_subset_1(C,A) -> k1_domain_1(A,B,C,D) = k4_tarski(C,D))) # label(redefinition_k1_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2236 (all A all B all C all D all E (-v1_xboole_0(B) & -v1_xboole_0(C) & -v1_xboole_0(E) & -v1_xboole_0(D) -> ((exists F exists G exists H exists I (m1_subset_1(G,C) & m1_subset_1(H,D) & A = k5_domain_1(B,C,D,E,F,G,H,I) & p1_s4_domain_1(F,G,H,I) & m1_subset_1(I,E) & m1_subset_1(F,B))) <-> r2_hidden(A,a_4_2_domain_1(B,C,D,E))))) # label(fraenkel_a_4_2_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2237 (all A all B all C all D all E all F all G all H (-v1_xboole_0(A) & -v1_xboole_0(C) & m1_subset_1(H,D) & m1_subset_1(G,C) & m1_subset_1(F,B) & m1_subset_1(E,A) & -v1_xboole_0(D) & -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].
11.40/11.07	2238 (all A all B (-v1_xboole_0(B) -> ((exists C (m1_subset_1(C,B) & p2_s5_domain_1(C) & C = A)) <-> r2_hidden(A,a_1_4_domain_1(B))))) # label(fraenkel_a_1_4_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2239 (all A (r2_hidden(A,a_0_4_domain_1) <-> (exists B (m1_subset_1(B,f1_s10_domain_1) & A = B & p1_s10_domain_1(B))))) # label(fraenkel_a_0_4_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2240 $T # label(t29_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2241 (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) & k10_mcart_1(A,B,C,D,F) = k10_mcart_1(A,B,C,D,E) & k11_mcart_1(A,B,C,D,E) = k11_mcart_1(A,B,C,D,F) & k9_mcart_1(A,B,C,D,E) = k9_mcart_1(A,B,C,D,F) -> F = E))))))))))))) # label(t45_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2242 (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)) -> a_4_1_domain_1(A,B,C,D) = k12_mcart_1(A,B,C,D))))))))) # label(t53_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2243 $T # label(t4_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2244 $T # label(t20_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.07	2245 (all A all B all C all D all E all F all G all H (m1_subset_1(E,A) & m1_subset_1(G,A) & m1_subset_1(H,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) -> 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].
11.40/11.07	2246 (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) & B = A)))) # label(fraenkel_a_0_5_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2247 (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].
11.40/11.08	2248 (all A all B all C all D all E (m1_subset_1(B,A) & m1_subset_1(D,A) & m1_subset_1(E,A) & m1_subset_1(C,A) & -v1_xboole_0(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].
11.40/11.08	2249 $T # label(t46_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2250 (all A all B all C (m1_subset_1(B,A) & m1_subset_1(C,A) & -v1_xboole_0(A) -> k7_domain_1(A,B,C) = k7_domain_1(A,C,B))) # label(commutativity_k7_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2251 (all A all B all C all D all E (-v1_xboole_0(C) & -v1_xboole_0(E) & -v1_xboole_0(D) & -v1_xboole_0(B) -> (r2_hidden(A,a_4_0_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) & k5_domain_1(B,C,D,E,F,G,H,I) = A & m1_subset_1(H,D)))))) # label(fraenkel_a_4_0_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2252 $T # label(t38_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2253 (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].
11.40/11.08	2254 (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].
11.40/11.08	2255 $T # label(t35_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2256 $T # label(t19_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2257 (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) -> (F = k5_domain_1(B,C,D,E,G,H,I,J) -> G = A)))))))))))))))))))) # label(t40_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2258 (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)) -> (k6_mcart_1(B,C,D,E) = A <-> (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)))))))))))))))) # label(t25_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2259 $T # label(t30_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2260 (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 -> I = A))))))))) <-> k10_mcart_1(B,C,D,E,F) = A))))))))))) # label(t42_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2261 (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(E,A) & m1_subset_1(G,A) & m1_subset_1(I,A) & m1_subset_1(H,A) & m1_subset_1(F,A) & m1_subset_1(D,A) & m1_subset_1(C,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].
11.40/11.08	2262 (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].
11.40/11.08	2263 (all A all B all C all D (-v1_xboole_0(B) & -v1_xboole_0(C) & -v1_xboole_0(D) -> ((exists E exists F exists G (m1_subset_1(F,C) & m1_subset_1(G,D) & p1_s3_domain_1(E,F,G) & A = k4_domain_1(B,C,D,E,F,G) & m1_subset_1(E,B))) <-> r2_hidden(A,a_3_8_domain_1(B,C,D))))) # label(fraenkel_a_3_8_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2264 (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].
11.40/11.08	2265 $T # label(t10_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2266 (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].
11.40/11.08	2267 (all A all B all C all D (-v1_xboole_0(D) & -v1_xboole_0(C) & -v1_xboole_0(B) -> (r2_hidden(A,a_3_0_domain_1(B,C,D)) <-> (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))))) # label(fraenkel_a_3_0_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2268 (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)) -> a_8_0_domain_1(A,B,C,D,E,F,G,H) = k14_mcart_1(A,B,C,D,E,F,G,H))))))))))))))))) # label(t55_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2269 (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].
11.40/11.08	2270 (all A all B all C all D all E all F (-v1_xboole_0(C) & m1_subset_1(D,A) & m1_subset_1(E,B) & m1_subset_1(F,C) & -v1_xboole_0(B) & -v1_xboole_0(A) -> 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].
11.40/11.08	2271 $T # label(t27_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2272 (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_4_domain_1(B,C,D)) <-> (exists E (m1_subset_1(E,B) & A = E & (r2_hidden(E,D) & -r2_hidden(E,C) | -r2_hidden(E,D) & r2_hidden(E,C))))))) # label(fraenkel_a_3_4_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2273 (all A all B all C all D (-v1_xboole_0(A) & -v1_xboole_0(B) & -v1_xboole_0(C) & m1_subset_1(D,k2_zfmisc_1(k2_zfmisc_1(A,B),C)) -> k17_mcart_1(D) = k14_domain_1(A,B,C,D))) # label(redefinition_k14_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2274 $T # label(t47_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2275 (all A all B all C all D all E all F all G (-v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(E,A) & m1_subset_1(G,A) & m1_subset_1(F,A) & m1_subset_1(D,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].
11.40/11.08	2276 (all A all B (-v1_xboole_0(B) -> ((exists C (C = A & p2_s6_domain_1(C) & m1_subset_1(C,B))) <-> r2_hidden(A,a_1_6_domain_1(B))))) # label(fraenkel_a_1_6_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2277 (all A (r2_hidden(A,a_0_0_domain_1) <-> (exists B (p1_s7_domain_1(B) & B = A & m1_subset_1(B,f1_s7_domain_1))))) # label(fraenkel_a_0_0_domain_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2278 (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) -> (v1_binop_1(C,A) -> (r4_binop_1(A,C,B) <-> r6_binop_1(A,C,B))))))))) # label(t26_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2279 (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) -> (r3_binop_1(A,C,B) <-> (all D (m1_subset_1(D,A) -> D = k1_binop_1(B,D,C) & k1_binop_1(B,C,D) = D))))))) # label(t11_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2280 (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) <-> r3_binop_1(A,C,B))))))) # label(t14_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2281 (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) & 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) -> ((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),k2_binop_1(A,A,A,C,D,F)) = k2_binop_1(A,A,A,C,D,k2_binop_1(A,A,A,B,E,F)))))))) <-> r6_binop_1(A,C,B))))))))) # label(t24_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2282 $T # label(t19_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2283 (exists A (m2_relset_1(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))))) & v1_funct_2(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].
11.40/11.08	2284 $T # label(t8_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	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) -> (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) -> k2_binop_1(A,A,A,B,k2_binop_1(A,A,A,B,C,D),E) = k2_binop_1(A,A,A,B,C,k2_binop_1(A,A,A,B,D,E))))))))))))) # label(d14_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2286 (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) -> m1_subset_1(k3_binop_1(A,B),A))) # label(dt_k3_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2287 $T # label(dt_k1_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2288 (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) -> (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].
11.40/11.08	2289 $T # label(t9_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2290 (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) -> (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].
11.40/11.08	2291 (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 (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) -> 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) & k1_binop_1(B,D,k1_binop_1(C,E,F)) = k1_binop_1(C,k1_binop_1(B,D,E),k1_binop_1(B,D,F)))))))) <-> r6_binop_1(A,B,C)))))) # label(t23_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2292 (all A (m1_subset_1(A,f1_s1_binop_1) -> (all B (m1_subset_1(B,f1_s1_binop_1) -> (exists C (p1_s1_binop_1(A,B,C) & m1_subset_1(C,f1_s1_binop_1))))))) -> (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].
11.40/11.08	2293 $T # label(t22_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2294 $T # label(t1_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2295 (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) -> (r2_binop_1(A,D,B) & r1_binop_1(A,C,B) -> C = D))))))) # label(t17_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2296 (all A (-v1_xboole_0(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) -> 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].
11.40/11.08	2297 (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) -> (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].
11.40/11.08	2298 (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) & 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) -> ((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)))))))) <-> r6_binop_1(A,C,B))))))))) # label(t25_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2299 (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_xboole_0(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)))) # label(cc1_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2300 $T # label(t4_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2301 (all A (-v1_xboole_0(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,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) -> 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].
11.40/11.08	2302 (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) -> (r3_binop_1(A,C,B) <-> k3_binop_1(A,B) = C)))))) # label(d8_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2303 (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].
11.40/11.08	2304 $T # label(t21_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2305 (all A all B (m1_subset_1(B,A) -> (all C (v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> ((all D (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].
11.40/11.08	2306 (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,B,D,k2_binop_1(A,A,A,C,E,F)) = 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)))))))) <-> r4_binop_1(A,B,C)))))))) # label(d18_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2307 (all A all B all C all D all E all F (-v1_xboole_0(B) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_subset_1(E,A) & m1_subset_1(F,B) & m1_relset_1(D,k2_zfmisc_1(A,B),C) & -v1_xboole_0(A) -> 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].
11.40/11.08	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) -> ((all D (m1_subset_1(D,A) -> k1_binop_1(B,C,D) = D)) <-> r3_binop_1(A,C,B))))))) # label(t12_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2309 (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,D,B) & r3_binop_1(A,C,B) -> C = D))))))) # label(t18_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2310 $T # label(t5_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2311 (all A all B (m1_subset_1(B,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) -> (r2_binop_1(A,B,C) & r1_binop_1(A,B,C) <-> r3_binop_1(A,B,C)))))) # label(d7_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2312 (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) -> (all D (m1_subset_1(D,A) -> k1_binop_1(B,D,C) = k1_binop_1(B,C,D))))) <-> v1_binop_1(B,A)))) # label(d2_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	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 (v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> (r5_binop_1(A,B,C) & r4_binop_1(A,B,C) <-> r6_binop_1(A,B,C)))))) # label(d11_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2314 (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 (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))))) -> D = E))))))))))) # label(t2_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2315 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,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) -> (r2_binop_1(A,B,C) <-> (all D (m1_subset_1(D,A) -> k2_binop_1(A,A,A,C,D,B) = D))))))))) # label(d17_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2316 $T # label(t3_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2317 (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].
11.40/11.08	2318 $T # label(t7_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2319 (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].
11.40/11.08	2320 (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 (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) -> (all F (m1_subset_1(F,A) -> 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))))))) <-> r5_binop_1(A,B,C)))))) # label(d10_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2321 (all A all B all C all D all E all F (-v1_xboole_0(B) & m1_subset_1(F,B) & m1_subset_1(E,A) & 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(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].
11.40/11.08	2322 $T # label(t10_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2323 (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 (m1_subset_1(C,A) -> C = k2_binop_1(A,A,A,B,C,C))) <-> v3_binop_1(B,A)))))) # label(d15_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2324 (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) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(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) -> 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)) = k2_binop_1(A,A,A,B,k2_binop_1(A,A,A,C,D,E),F)))))))))))))) # label(d19_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2325 (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) -> (r2_binop_1(A,C,B) <-> r1_binop_1(A,C,B))))))) # label(t16_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2326 (all A all B (m2_relset_1(B,A,A) & v1_funct_2(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) -> 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].
11.40/11.08	2327 $T # label(t20_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2328 (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) -> (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(B,D,k1_binop_1(C,E,F)) = k1_binop_1(C,k1_binop_1(B,D,E),k1_binop_1(B,D,F))))))))))))) # label(d9_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2329 $T # label(t6_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2330 (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_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].
11.40/11.08	2331 (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].
11.40/11.08	2332 (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) -> k1_binop_1(B,C,C) = C)) <-> v3_binop_1(B,A)))) # label(d4_binop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2333 (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].
11.40/11.08	2334 (all A (v1_funct_1(A) & v1_relat_1(A) -> (v1_funcop_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))))))) # label(d6_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2335 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C -(k1_xboole_0 = k1_relat_1(k5_relat_1(k2_funcop_1(B,C),A)) & r2_hidden(C,k1_relat_1(A)) & B != k1_xboole_0)))) # label(t24_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2336 (all A all B (v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) -> v1_relat_1(k1_funct_1(A,B)) & v1_funct_1(k1_funct_1(A,B)))) # label(fc7_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2337 $T # label(dt_k3_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2338 (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].
11.40/11.08	2339 (all A all B all C (v1_funct_1(A) & v1_relat_1(C) & v1_funct_1(C) & v1_relat_1(A) -> 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].
11.40/11.08	2340 (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_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].
11.40/11.08	2341 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C (v1_relat_1(C) & v1_funct_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].
11.40/11.08	2342 (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) -> (all E (v1_funct_1(E) & m2_relset_1(E,B,A) & v1_funct_2(E,B,A) -> (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))) -> D = k7_funcop_1(A,B,C,E,F)))))))))))))) # label(t61_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2343 (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 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].
11.40/11.08	2344 (all A all B all C all D all E (-v1_xboole_0(B) & v1_funct_1(C) & m1_relset_1(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) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & -v1_xboole_0(A) -> k5_funcop_1(C,D,E) = k8_funcop_1(A,B,C,D,E))) # label(redefinition_k8_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2345 (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) -> (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,k7_funcop_1(B,A,C,D,F)) = k7_funcop_1(B,A,C,k8_funcop_1(B,A,C,E,D),F)))))))))))))) # label(t74_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2346 (all A all B (v1_xboole_0(B) -> v1_xboole_0(k2_funcop_1(B,A)) & v2_funct_1(k2_funcop_1(B,A)) & v1_funct_1(k2_funcop_1(B,A)) & v1_relat_1(k2_funcop_1(B,A)))) # label(fc3_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2347 (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,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].
11.40/11.08	2348 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (k1_relat_1(B) = k1_xboole_0 & k1_xboole_0 = k1_relat_1(A) -> B = A))))) # label(t4_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2349 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C k2_funcop_1(k10_relat_1(A,B),C) = k5_relat_1(A,k2_funcop_1(B,C))))) # label(t25_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2350 $T # label(t50_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2351 (all A all B all C all D (-v1_xboole_0(B) & 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(C) & -v1_xboole_0(A) -> 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)) & v1_funct_1(k10_funcop_1(A,B,C,D)))) # label(dt_k10_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2352 (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) -> k3_funcop_1(k5_relat_1(D,A),B,C) = k5_relat_1(k3_funcop_1(D,B,C),A))))))))) # label(t32_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2353 (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 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].
11.40/11.08	2354 (all A (v1_funct_1(A) & v1_relat_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].
11.40/11.08	2355 (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) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> (all E (m1_subset_1(E,B) -> k7_funct_2(A,B,B,D,k7_funcop_1(B,B,C,k6_partfun1(B),E)) = k7_funcop_1(B,A,C,D,E))))))))))) # label(t63_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2356 (all A all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,B) -> v1_funct_1(k2_funcop_1(A,C)) & m2_relset_1(k2_funcop_1(A,C),A,B) & v1_funct_2(k2_funcop_1(A,C),A,B))))) # label(t58_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2357 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C (v1_funct_1(C) & v1_relat_1(C) -> k5_relat_1(k13_funct_3(k2_funcop_1(k1_relat_1(C),B),C),A) = k5_funcop_1(A,B,C))))) # label(d5_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2358 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_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].
11.40/11.08	2359 (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) & m1_subset_1(E,A) & 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) -> k4_funcop_1(C,D,E) = k7_funcop_1(A,B,C,D,E))) # label(redefinition_k7_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2360 (all A (v1_relat_1(A) -> (all B all C (k2_zfmisc_1(B,C) = A -> k1_xboole_0 = B | B = k1_relat_1(A) & C = k2_relat_1(A) | k1_xboole_0 = C)))) # label(t1_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2361 (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].
11.40/11.08	2362 (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) -> 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].
11.40/11.08	2363 (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].
11.40/11.08	2364 (all A all B all C all D (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(C) & -v1_xboole_0(B) & -v1_xboole_0(A) -> k10_funcop_1(A,B,C,D) = k1_funcop_1(D))) # label(redefinition_k10_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2365 (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].
11.40/11.08	2366 (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 (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].
11.40/11.08	2367 (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,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,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].
11.40/11.08	2368 (exists A (v1_relat_1(A) & v1_funcop_1(A) & v1_funct_1(A))) # label(rc1_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2369 (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_funct_1(D) & v1_relat_1(D) -> (k1_relat_1(D) = k1_relat_1(k3_funcop_1(C,A,B)) & (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))) -> D = k3_funcop_1(C,A,B)))))))))) # label(t27_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2370 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C k5_funcop_1(B,C,A) = k3_funcop_1(B,k2_funcop_1(k1_relat_1(A),C),A)))))) # label(t41_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2371 (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 (m2_relset_1(D,A,B) & v1_funct_2(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) -> (v1_binop_1(C,B) -> k6_funcop_1(B,A,C,E,D) = k6_funcop_1(B,A,C,D,E)))))))))))) # label(t80_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2372 (all A k1_funcop_1(k12_funct_3(A)) = k12_funct_3(A)) # label(t9_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2373 (all A (v1_relat_1(A) & v1_funct_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].
11.40/11.08	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].
11.40/11.08	2375 (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].
11.40/11.08	2376 (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 (m2_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) -> (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].
11.40/11.08	2377 $T # label(dt_k5_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2378 (all A all B all C all D all E (-v1_xboole_0(A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),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_2(D,B,A) & v1_funct_1(D) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & -v1_xboole_0(B) -> 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].
11.40/11.08	2379 (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].
11.40/11.08	2380 (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 (v1_funct_2(F,A,B) & m2_relset_1(F,A,B) & v1_funct_1(F) -> (v2_binop_1(C,B) -> k6_funcop_1(B,A,C,k6_funcop_1(B,A,C,D,E),F) = k6_funcop_1(B,A,C,D,k6_funcop_1(B,A,C,E,F))))))))))))))) # label(t76_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2381 (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 (v1_funct_2(E,B,B) & m2_relset_1(E,B,B) & v1_funct_1(E) -> 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].
11.40/11.08	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].
11.40/11.08	2383 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C k3_funcop_1(B,A,k2_funcop_1(k1_relat_1(A),C)) = k4_funcop_1(B,A,C)))))) # label(t34_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2384 $T # label(t8_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2385 (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_funct_1(D) & v1_relat_1(D) -> (all E (k7_relat_1(A,C) = k7_relat_1(B,C) -> k7_relat_1(k5_funcop_1(D,E,A),C) = k7_relat_1(k5_funcop_1(D,E,B),C))))))))) # label(t43_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2386 $T # label(t68_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2387 (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,k2_zfmisc_1(B,C)) & m2_relset_1(D,A,k2_zfmisc_1(B,C)) -> (all E (m1_subset_1(E,A) -> 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))) = k1_funct_1(k1_funcop_1(D),E))))))))))) # label(t71_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	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 (r2_hidden(C,k1_relat_1(k4_funcop_1(B,A,D))) -> k1_binop_1(B,k1_funct_1(A,C),D) = k1_funct_1(k4_funcop_1(B,A,D),C))))))) # label(t35_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2389 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C k13_funct_3(k7_relat_1(A,C),B) = k7_relat_1(k13_funct_3(A,B),C)))))) # label(t10_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2390 (all A all B all C all D (-v1_xboole_0(B) & 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(C) & -v1_xboole_0(A) -> k9_funcop_1(A,B,C,D) = k2_relat_1(D))) # label(redefinition_k9_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2391 $T # label(dt_k2_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2392 (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,k2_binop_1(B,B,B,C,E,F),D) = k8_funcop_1(B,A,C,E,k8_funcop_1(B,A,C,F,D))))))))))))))) # label(t77_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2393 (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) -> (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].
11.40/11.08	2394 (all A all B (v1_funcop_1(A) & v1_funct_1(B) & v1_relat_1(B) & v1_funct_1(A) & v1_relat_1(A) -> v1_relat_1(k5_relat_1(B,A)) & v1_funcop_1(k5_relat_1(B,A)) & v1_funct_1(k5_relat_1(B,A)))) # label(fc8_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2395 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C k4_funcop_1(A,B,C) = k5_relat_1(k13_funct_3(B,k2_funcop_1(k1_relat_1(B),C)),A)))))) # label(d4_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2396 $T # label(dt_k4_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2397 $T # label(t62_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2398 (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,k6_funcop_1(A,A,B,k6_partfun1(A),k6_partfun1(A)),C))))))) # label(t56_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2399 (all 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)) & v1_xboole_0(k2_funcop_1(k1_xboole_0,A)))) # label(fc2_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2400 (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_2(D,B,A) & m2_relset_1(D,B,A) & v1_funct_1(D) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,B) -> k2_binop_1(A,A,A,C,E,k8_funct_2(B,A,D,F)) = k8_funct_2(B,A,k8_funcop_1(A,B,C,E,D),F))))))))))))) # label(t66_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2401 (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) -> (v3_binop_1(C,B) -> k6_funcop_1(B,A,C,D,D) = D))))))))) # label(t81_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2402 (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) -> (k1_relat_1(A) = k1_relat_1(B) -> 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].
11.40/11.08	2403 (all A all B (-v1_xboole_0(B) -> v1_relat_1(k2_funcop_1(A,B)) & v2_relat_1(k2_funcop_1(A,B)) & v1_funct_1(k2_funcop_1(A,B)))) # label(fc9_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2404 (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) & v1_funct_2(E,B,A) & m1_relset_1(E,B,A) & v1_funct_1(E) & v1_funct_1(C) & -v1_xboole_0(B) -> v1_funct_2(k6_funcop_1(A,B,C,D,E),B,A) & m2_relset_1(k6_funcop_1(A,B,C,D,E),B,A) & v1_funct_1(k6_funcop_1(A,B,C,D,E)))) # label(dt_k6_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2405 (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) -> (all E (v1_funct_1(E) & m2_relset_1(E,B,B) & v1_funct_2(E,B,B) -> k6_funcop_1(B,A,C,D,k7_funct_2(A,B,B,D,E)) = k7_funct_2(A,B,B,D,k6_funcop_1(B,B,C,k6_partfun1(B),E)))))))))))) # label(t51_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.08	2406 (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 (m2_relset_1(E,A,B) & v1_funct_2(E,A,B) & v1_funct_1(E) -> (all F (v1_funct_1(F) & m2_relset_1(F,A,B) & v1_funct_2(F,A,B) -> ((all G (m1_subset_1(G,A) -> k2_binop_1(B,B,B,C,k8_funct_2(A,B,D,G),k8_funct_2(A,B,E,G)) = k8_funct_2(A,B,F,G))) -> k6_funcop_1(B,A,C,D,E) = F))))))))))))) # label(t49_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2407 (all A all B all C all D (-v1_xboole_0(B) & -v1_xboole_0(C) & v1_funct_2(D,A,k2_zfmisc_1(B,C)) & m1_relset_1(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].
11.40/11.09	2408 $T # label(t5_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2409 (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 (v1_relat_1(D) & v1_funct_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].
11.40/11.09	2410 (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 (m1_subset_1(C,A) -> (all D (m2_relset_1(D,A,A) & v1_funct_2(D,A,A) & v1_funct_1(D) -> k8_funct_2(A,A,k6_funcop_1(A,A,B,D,k6_partfun1(A)),C) = k2_binop_1(A,A,A,B,k8_funct_2(A,A,D,C),C))))))))) # label(t55_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2411 (all A all B (r1_tarski(k2_relat_1(k2_funcop_1(A,B)),k1_tarski(B)) & k1_relat_1(k2_funcop_1(A,B)) = A)) # label(t19_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2412 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C all D (v1_relat_1(D) & v1_funct_1(D) -> (all E (k7_relat_1(A,C) = k7_relat_1(B,C) -> k7_relat_1(k4_funcop_1(D,A,E),C) = k7_relat_1(k4_funcop_1(D,B,E),C))))))))) # label(t36_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2413 (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) -> k6_funcop_1(B,A,C,D,D) = k7_funct_2(A,B,B,D,k6_funcop_1(B,B,C,k6_partfun1(B),k6_partfun1(B))))))))))) # label(t53_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2414 (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].
11.40/11.09	2415 (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 k5_funcop_1(C,D,k5_relat_1(B,A)) = k5_relat_1(B,k5_funcop_1(C,D,A))))))))) # label(t44_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2416 (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 (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].
11.40/11.09	2417 (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].
11.40/11.09	2418 (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].
11.40/11.09	2419 (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)) -> m2_relset_1(k2_relat_1(D),B,C))))))))) # label(t72_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2420 (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(k3_funcop_1(C,A,B))) -> k1_funct_1(k3_funcop_1(C,A,B),D) = k1_binop_1(C,k1_funct_1(A,D),k1_funct_1(B,D)))))))))) # label(t28_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2421 (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) -> k8_funct_2(A,A,k8_funcop_1(A,A,B,C,k6_partfun1(A)),C) = k2_binop_1(A,A,A,B,C,C))))))) # label(t70_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2422 (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].
11.40/11.09	2423 $T # label(t12_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2424 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C (r2_hidden(C,k1_relat_1(A)) -> k5_relat_1(k2_funcop_1(B,C),A) = k2_funcop_1(B,k1_funct_1(A,C)))))) # label(t23_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2425 (all A all B all C all D all E (-v1_xboole_0(A) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_subset_1(E,A) & m1_relset_1(D,B,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) & -v1_xboole_0(B) -> v1_funct_2(k7_funcop_1(A,B,C,D,E),B,A) & m2_relset_1(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].
11.40/11.09	2426 (all A all B A = k10_relat_1(k2_funcop_1(A,B),k1_tarski(B))) # label(t21_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2427 (all A k12_funct_3(A) = k13_funct_3(k6_partfun1(A),k6_partfun1(A))) # label(t2_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2428 (all A all B all C (v1_funct_1(A) & v1_funct_1(B) & v1_relat_1(B) & v1_relat_1(A) -> v1_relat_1(k4_funcop_1(A,B,C)) & v1_funct_1(k4_funcop_1(A,B,C)))) # label(fc5_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2429 (all A all B all C (r2_hidden(C,B) -> v1_funct_2(k2_funcop_1(A,C),A,B) & m2_relset_1(k2_funcop_1(A,C),A,B) & v1_funct_1(k2_funcop_1(A,C)))) # label(t57_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2430 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C all D (r2_hidden(C,k1_relat_1(k5_funcop_1(B,D,A))) -> k1_funct_1(k5_funcop_1(B,D,A),C) = k1_binop_1(B,D,k1_funct_1(A,C)))))))) # label(t42_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2431 (all A all B all C all D all E (-v1_xboole_0(B) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(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) & v1_funct_1(C) & -v1_xboole_0(A) -> m2_relset_1(k8_funcop_1(A,B,C,D,E),B,A) & v1_funct_2(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].
11.40/11.09	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 (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) -> v1_funct_1(k3_funcop_1(C,D,E)) & v1_funct_2(k3_funcop_1(C,D,E),A,B) & m2_relset_1(k3_funcop_1(C,D,E),A,B))))))))))) # label(t47_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2433 (all A (v1_funct_1(A) & v1_relat_1(A) -> A = k1_funcop_1(k1_funcop_1(A)))) # label(involutiveness_k1_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2434 (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) -> 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].
11.40/11.09	2435 (all A all B k2_funcop_1(A,B) = k2_zfmisc_1(A,k1_tarski(B))) # label(d2_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2436 $T # label(t40_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2437 (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 (m2_relset_1(E,B,A) & v1_funct_2(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].
11.40/11.09	2438 (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,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].
11.40/11.09	2439 (all A all B all C all D (-v1_xboole_0(A) & -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) -> m2_relset_1(k9_funcop_1(A,B,C,D),B,C))) # label(dt_k9_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2440 (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) -> k8_funcop_1(B,A,C,E,D) = k7_funct_2(A,B,B,D,k8_funcop_1(B,B,C,E,k6_partfun1(B))))))))))))) # label(t69_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2441 $T # label(t33_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2442 (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_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> (all E (m1_subset_1(E,B) -> v1_funct_2(k4_funcop_1(C,D,E),A,B) & m2_relset_1(k4_funcop_1(C,D,E),A,B) & v1_funct_1(k4_funcop_1(C,D,E)))))))))))) # label(t59_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2443 (all A all B all C k2_funcop_1(k3_xboole_0(A,C),B) = k7_relat_1(k2_funcop_1(A,B),C)) # label(t18_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2444 (all A all B (k1_xboole_0 != A -> k1_tarski(B) = k2_relat_1(k2_funcop_1(A,B)))) # label(t14_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2445 (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 (m1_subset_1(C,A) -> (all D (m2_relset_1(D,A,A) & v1_funct_2(D,A,A) & v1_funct_1(D) -> k2_binop_1(A,A,A,B,C,k8_funct_2(A,A,D,C)) = k8_funct_2(A,A,k6_funcop_1(A,A,B,k6_partfun1(A),D),C))))))))) # label(t54_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2446 (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) -> 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].
11.40/11.09	2447 (all A all B all C (v1_relat_1(B) & v1_funct_1(C) & v1_relat_1(C) & v1_funct_1(B) & v1_funct_1(A) & 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].
11.40/11.09	2448 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> k1_funcop_1(k13_funct_3(B,A)) = k13_funct_3(A,B))))) # label(t6_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2449 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_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(B,C) = k4_tarski(E,D))) & -((all D all E k4_tarski(D,E) != k1_funct_1(A,C)) & k1_funct_1(A,C) != k1_funct_1(B,C)))) <-> k1_funcop_1(A) = B))))) # label(d1_funcop_1) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2450 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> r1_tarski(k1_funct_4(A,B),k2_xboole_0(A,B)))))) # label(t30_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2451 (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(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].
11.40/11.09	2452 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> k7_relat_1(k1_funct_4(A,B),k1_relat_1(B)) = B)))) # label(t24_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2453 (all A all B all C all D (v1_relat_1(k4_funct_4(A,B,C,D)) & v1_funct_1(k4_funct_4(A,B,C,D)))) # label(fc1_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2454 (all A all B all C (v1_funct_1(C) & v1_relat_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].
11.40/11.09	2455 (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].
11.40/11.09	2456 (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(A,B) = k1_funct_4(B,A)))))) # label(t35_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2457 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B k1_funct_4(A,k7_relat_1(A,B)) = A))) # label(t80_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2458 $T # label(dt_k4_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2459 (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,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].
11.40/11.09	2460 (all A all B all C (v1_relat_1(C) & v1_funct_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].
11.40/11.09	2461 (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(B),k1_relat_1(k1_funct_4(A,B))) & r1_tarski(k1_relat_1(A),k1_relat_1(k1_funct_4(A,B))))))) # label(t11_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2462 (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(k1_funct_4(A,B),C) = k1_funct_4(A,C)))))))) # label(t78_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2463 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C all D (r1_tarski(k1_relat_1(B),D) & r1_xboole_0(C,D) & r1_tarski(k1_relat_1(A),C) -> 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].
11.40/11.09	2464 (all A all B (r1_tarski(k6_partfun1(A),k6_partfun1(B)) <-> r1_tarski(A,B))) # label(t4_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2465 (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].
11.40/11.09	2466 (all A all B all C k2_funcop_1(k2_tarski(A,B),C) = k4_funct_4(A,B,C,C)) # label(t68_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2467 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_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].
11.40/11.09	2468 (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].
11.40/11.09	2469 (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].
11.40/11.09	2470 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_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].
11.40/11.09	2471 (all A -((all B -(r2_hidden(B,A) & (all C all D B != k4_tarski(C,D)))) & (all B all C -r1_tarski(A,k2_zfmisc_1(B,C))))) # label(t1_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2472 (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)) -> B = k1_funct_4(A,B)))))) # label(t20_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2473 (all A all B (v1_funct_1(B) & v1_relat_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].
11.40/11.09	2474 (all A all B all C all D all E (-v1_xboole_0(A) & m1_subset_1(D,A) & m1_subset_1(E,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].
11.40/11.09	2475 (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].
11.40/11.09	2476 (all A all B all C all D (C != A -> 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].
11.40/11.09	2477 (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].
11.40/11.09	2478 (all A (v1_relat_1(A) & v1_funct_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].
11.40/11.09	2479 (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) -> (r1_partfun1(A,k1_funct_4(B,C)) -> r1_partfun1(A,C)))))))) # label(t28_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2480 (all A all B all C all D (A != B -> k2_tarski(C,D) = k2_relat_1(k4_funct_4(A,B,C,D)))) # label(t67_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2481 (all A (v1_funct_1(A) & v1_relat_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].
11.40/11.09	2482 (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) -> F = D & E = C | B = A)) # label(t72_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2483 (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) -> 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].
11.40/11.09	2484 (all A all B all C all D all E (-v1_xboole_0(E) -> (all F (-v1_xboole_0(F) -> (all G (m2_relset_1(G,k2_zfmisc_1(A,B),E) & v1_funct_2(G,k2_zfmisc_1(A,B),E) & v1_funct_1(G) -> (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].
11.40/11.09	2485 (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) & v1_funct_2(G,k2_zfmisc_1(A,B),C) -> (all H (v1_funct_1(H) & m2_relset_1(H,k2_zfmisc_1(D,E),F) & v1_funct_2(H,k2_zfmisc_1(D,E),F) -> -(F != k1_xboole_0 & -(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)) & v1_funct_1(k3_funct_4(G,H))) & k1_xboole_0 != C))))) # label(t63_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2486 (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) = k1_funct_4(B,A)))))) # label(t36_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2487 (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) -> (C = k1_funct_4(A,B) <-> k1_relat_1(C) = k2_xboole_0(k1_relat_1(A),k1_relat_1(B)) & (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(C,D) = k1_funct_1(B,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].
11.40/11.09	2488 (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(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)) & C = k4_tarski(E,D))))) <-> B = k2_funct_4(A)))))) # label(d2_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2489 (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,k1_relat_1(B)) & r1_xboole_0(k1_relat_1(B),k1_relat_1(C)) -> k1_funct_1(k1_funct_4(B,C),A) = k1_funct_1(B,A)))))) # label(t17_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2490 (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(B),C) & r1_tarski(k1_relat_1(A),C) -> k7_relat_1(k1_funct_4(A,B),C) = A)))))) # label(t82_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2491 (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) -> (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].
11.40/11.09	2492 (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(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].
11.40/11.09	2493 (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_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> ((B = k1_xboole_0 -> A = k1_xboole_0) -> k1_funct_4(C,D) = D))))) # label(t38_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2494 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C k1_funct_4(k7_relat_1(A,C),k7_relat_1(B,C)) = k7_relat_1(k1_funct_4(A,B),C)))))) # label(t75_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2495 (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].
11.40/11.09	2496 (all A all B (v1_relat_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_funct_1(A) -> A = k1_funct_4(A,A))) # label(idempotence_k1_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2497 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_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].
11.40/11.09	2498 (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 all E all F all G (r2_hidden(k4_tarski(F,G),k1_relat_1(B)) & r2_hidden(k4_tarski(D,E),k1_relat_1(A)) -> 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 ((exists E exists F exists G exists H (r2_hidden(k4_tarski(G,H),k1_relat_1(B)) & r2_hidden(k4_tarski(E,F),k1_relat_1(A)) & D = k4_tarski(k4_tarski(E,G),k4_tarski(F,H)))) <-> r2_hidden(D,k1_relat_1(C)))) <-> k3_funct_4(A,B) = C))))))) # label(d3_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2499 (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,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].
11.40/11.09	2500 (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 (v1_funct_1(D) & v1_relat_1(D) -> (r1_tarski(k2_relat_1(C),k1_relat_1(A)) & r1_partfun1(A,B) & r1_tarski(k2_relat_1(D),k1_relat_1(B)) -> k1_funct_4(k5_relat_1(C,A),k5_relat_1(D,B)) = k5_relat_1(k1_funct_4(C,D),k1_funct_4(A,B))))))))))) # label(t73_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2501 (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(k4_tarski(B,A),k1_relat_1(k2_funct_4(C)))))) # label(t43_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2502 (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].
11.40/11.09	2503 (all A all B all C all D all E (v1_funct_1(E) & v1_relat_1(E) -> (k1_funct_1(E,A) = C & D = k1_funct_1(E,B) & k2_tarski(A,B) = k1_relat_1(E) -> k4_funct_4(A,B,C,D) = E))) # label(t69_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2504 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_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].
11.40/11.09	2505 (all A (v1_relat_1(A) & v1_funct_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].
11.40/11.09	2506 (all A all B all C all D (m2_relset_1(D,k2_zfmisc_1(A,B),C) & v1_funct_1(D) -> k2_funct_4(k2_funct_4(D)) = D)) # label(t54_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2507 (all A all B all C all D (v1_funct_1(D) & m2_relset_1(D,k2_zfmisc_1(A,B),C) -> v1_funct_1(k2_funct_4(D)) & m2_relset_1(k2_funct_4(D),k2_zfmisc_1(B,A),C))) # label(t49_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2508 (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].
11.40/11.09	2509 (all A all B all C all D all E all F all G (m2_relset_1(G,k2_zfmisc_1(A,B),C) & v1_funct_1(G) -> (all H (m2_relset_1(H,k2_zfmisc_1(D,E),F) & v1_funct_1(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_1(k3_funct_4(G,H)))))) # label(t62_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2510 (all A all B (v1_funct_1(B) & v1_relat_1(B) & v1_funct_1(A) & v1_relat_1(A) -> v1_relat_1(k1_funct_4(A,B)) & v1_funct_1(k1_funct_4(A,B)))) # label(dt_k1_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2511 (all A (v1_funct_1(A) & v1_relat_1(A) -> A = k1_funct_4(k1_xboole_0,A))) # label(t21_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2512 (all A (v1_relat_1(A) & v1_funct_1(A) -> k1_funct_4(A,k1_xboole_0) = A)) # label(t22_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2513 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_tarski(A,B) -> B = k1_funct_4(A,B) & k1_funct_4(B,A) = B))))) # label(t79_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2514 (all A all B all 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) -> (C != k1_xboole_0 -> 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) & v1_funct_1(k2_funct_4(D))))) # label(t50_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2515 (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].
11.40/11.09	2516 (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) -> (v1_partfun1(D,A,B) -> k1_funct_4(C,D) = D))))) # label(t37_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2517 (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(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].
11.40/11.09	2518 $T # label(t3_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2519 (all A all B (v1_relat_1(A) & v1_funct_1(A) & v1_funct_1(B) & v1_relat_1(B) -> v1_relat_1(k3_funct_4(A,B)) & v1_funct_1(k3_funct_4(A,B)))) # label(dt_k3_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2520 (all A all B all C all D (r1_tarski(k2_funcop_1(A,B),k2_funcop_1(C,D)) -> k1_xboole_0 = A | D = B)) # label(t7_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2521 (all A all B all C all D all E (-v1_xboole_0(A) & m1_subset_1(E,A) & m1_subset_1(D,A) -> m2_relset_1(k5_funct_4(A,B,C,D,E),k2_tarski(B,C),A) & v1_funct_2(k5_funct_4(A,B,C,D,E),k2_tarski(B,C),A) & v1_funct_1(k5_funct_4(A,B,C,D,E)))) # label(dt_k5_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2522 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_funct_1(k2_funct_4(A)) & v1_relat_1(k2_funct_4(A)))) # label(dt_k2_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2523 (all A all B all C all D (A != B -> D = k1_funct_1(k4_funct_4(A,B,C,D),B) & k1_funct_1(k4_funct_4(A,B,C,D),A) = C)) # label(t66_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2524 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_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].
11.40/11.09	2525 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_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].
11.40/11.09	2526 (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].
11.40/11.09	2527 (all A (v1_relat_1(A) & v1_funct_1(A) -> r1_tarski(k2_funct_4(k2_funct_4(A)),A))) # label(t52_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2528 (all A (v1_funct_1(A) & v1_relat_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].
11.40/11.09	2529 (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_1(k1_funct_4(C,D)) & m2_relset_1(k1_funct_4(C,D),A,B))))) # label(t41_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2530 (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].
11.40/11.09	2531 (all A all B all C (-v1_xboole_0(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) -> 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) & v1_funct_1(k2_funct_4(D)))))) # label(t51_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2532 (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)) -> k2_relat_1(C) = k2_relat_1(k2_funct_4(C))))) # label(t48_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2533 (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(k1_relat_1(A),C) -> k7_relat_1(B,C) = k7_relat_1(k1_funct_4(A,B),C))))))) # label(t77_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2534 (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].
11.40/11.09	2535 (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)) & r1_partfun1(B,C) -> k1_funct_1(B,A) = k1_funct_1(k1_funct_4(B,C),A)))))) # label(t16_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2536 (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) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> k1_funct_4(C,D) = D)))))) # label(t40_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2537 (all A all B (v1_funct_1(B) & v1_funct_2(B,A,A) & m2_relset_1(B,A,A) -> (all C (v1_funct_2(C,A,A) & m2_relset_1(C,A,A) & v1_funct_1(C) -> C = k1_funct_4(B,C))))) # label(t39_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2538 (all A all B k6_partfun1(k2_xboole_0(A,B)) = k1_funct_4(k6_partfun1(A),k6_partfun1(B))) # label(t23_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2539 (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) -> (C != k1_xboole_0 -> k2_funct_4(k2_funct_4(D)) = D))) # label(t55_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2540 (all A all B all C all D all E (v1_funct_1(E) & v1_relat_1(E) -> (all F (v1_relat_1(F) & v1_funct_1(F) -> (r2_hidden(k4_tarski(B,D),k1_relat_1(F)) & r2_hidden(k4_tarski(A,C),k1_relat_1(E)) <-> 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].
11.40/11.09	2541 (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)) | r2_hidden(A,k1_relat_1(C)) <-> r2_hidden(A,k1_relat_1(k1_funct_4(B,C)))))))) # label(t13_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2542 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C (r1_tarski(k1_relat_1(A),k2_xboole_0(B,C)) -> A = k1_funct_4(k7_relat_1(A,B),k7_relat_1(A,C)))))) # label(t74_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2543 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> r1_tarski(k7_relat_1(k8_relat_1(A,C),B),C))) # label(t9_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2544 (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) -> k2_funct_4(k2_funct_4(D)) = D)))) # label(t56_funct_4) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2545 $T # label(t43_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2546 (all A (v3_ordinal1(A) -> k1_ordinal1(A) = k14_ordinal2(A,k4_ordinal2))) # label(t48_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2547 (all A (v3_ordinal1(A) -> (all B -(r2_hidden(A,k7_ordinal2(B)) & (all C (v3_ordinal1(C) -> -(r1_ordinal1(A,C) & r2_hidden(C,B)))))))) # label(t29_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.09	2548 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (B = f1_s14_ordinal2(A) <-> (exists C (v1_funct_1(C) & v5_ordinal1(C) & v1_ordinal2(C) & k1_ordinal2(C) = B & (all D (v3_ordinal1(D) -> (r2_hidden(k1_ordinal1(D),k1_ordinal1(A)) -> k1_funct_1(C,k1_ordinal1(D)) = f3_s14_ordinal2(D,k1_funct_1(C,D))))) & (all D (v3_ordinal1(D) -> (r2_hidden(D,k1_ordinal1(A)) & v4_ordinal1(D) -> f4_s14_ordinal2(D,k2_ordinal1(C,D)) = k1_funct_1(C,D) | D = k1_xboole_0))) & f2_s14_ordinal2 = k1_funct_1(C,k1_xboole_0) & k1_relat_1(C) = k1_ordinal1(A) & v1_relat_1(C)))))))) -> f2_s14_ordinal2 = f1_s14_ordinal2(k1_xboole_0) # label(s14_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.11	2549 (all A (v1_funct_1(A) & v1_ordinal2(A) & v5_ordinal1(A) & v1_relat_1(A) -> (v3_ordinal2(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)))))))) # label(d17_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.11	2550 (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].
11.40/11.11	2551 (exists A (v2_ordinal1(A) & v3_ordinal1(A) & v4_ordinal1(A) & v1_ordinal1(A))) # label(rc1_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.11	2552 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> k1_ordinal1(k14_ordinal2(A,B)) = k14_ordinal2(A,k1_ordinal1(B)))))) # label(t45_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.11	2553 (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].
11.40/11.11	2554 $T # label(t36_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.11	2555 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> -((exists C (v1_funct_1(C) & v5_ordinal1(C) & k1_ordinal2(C) = A & k1_funct_1(C,k1_xboole_0) = f2_s13_ordinal2 & (all D (v3_ordinal1(D) -> (v4_ordinal1(D) & r2_hidden(D,k1_ordinal1(f1_s13_ordinal2)) -> D = k1_xboole_0 | f4_s13_ordinal2(D,k2_ordinal1(C,D)) = k1_funct_1(C,D)))) & (all D (v3_ordinal1(D) -> (r2_hidden(k1_ordinal1(D),k1_ordinal1(f1_s13_ordinal2)) -> k1_funct_1(C,k1_ordinal1(D)) = f3_s13_ordinal2(D,k1_funct_1(C,D))))) & k1_ordinal1(f1_s13_ordinal2) = k1_relat_1(C) & v1_ordinal2(C) & v1_relat_1(C))) & (exists C (v1_ordinal2(C) & k1_ordinal1(f1_s13_ordinal2) = k1_relat_1(C) & (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))))) & (all D (v3_ordinal1(D) -> (r2_hidden(D,k1_ordinal1(f1_s13_ordinal2)) & v4_ordinal1(D) -> f4_s13_ordinal2(D,k2_ordinal1(C,D)) = k1_funct_1(C,D) | D = k1_xboole_0))) & k1_funct_1(C,k1_xboole_0) = f2_s13_ordinal2 & B = k1_ordinal2(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_relat_1(C))) & A != B))))) # label(s13_ordinal2_AndLHS) # label(axiom) # label(non_clause).  [assumption].
11.40/11.11	2556 (exists A (v3_ordinal1(A) & (exists B (v1_funct_1(B) & v5_ordinal1(B) & f2_s13_ordinal2 = k1_funct_1(B,k1_xboole_0) & (all C (v3_ordinal1(C) -> (v4_ordinal1(C) & r2_hidden(C,k1_ordinal1(f1_s13_ordinal2)) -> k1_xboole_0 = C | k1_funct_1(B,C) = f4_s13_ordinal2(C,k2_ordinal1(B,C))))) & (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))))) & k1_ordinal1(f1_s13_ordinal2) = k1_relat_1(B) & A = k1_ordinal2(B) & v1_ordinal2(B) & v1_relat_1(B))))) # label(s13_ordinal2_AndRHS) # label(axiom) # label(non_clause).  [assumption].
11.40/11.11	2557 (all A all B (k3_ordinal2(A) = B <-> (all C (r2_hidden(C,B) <-> r2_hidden(C,A) & (exists D (v4_ordinal1(D) & D = C & v3_ordinal1(D))))))) # label(d3_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.11	2558 (all A all B (B = k2_ordinal2(A) <-> (all C (r2_hidden(C,B) <-> v3_ordinal1(C) & r2_hidden(C,A))))) # label(d2_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.11	2559 (all A k1_setfam_1(k2_ordinal2(A)) = k6_ordinal2(A)) # label(d6_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.11	2560 (all A all B (v1_funct_1(A) & v1_ordinal2(A) & v3_ordinal1(B) & v5_ordinal1(A) & v1_relat_1(A) -> v2_ordinal1(k1_funct_1(A,B)) & v3_ordinal1(k1_funct_1(A,B)) & v1_ordinal1(k1_funct_1(A,B)))) # label(fc3_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.11	2561 (all A (v3_ordinal1(A) -> (all B (B = f4_s9_ordinal2(A) <-> (exists C (k1_relat_1(C) = k1_ordinal1(A) & (all D (v3_ordinal1(D) -> (r2_hidden(D,k1_ordinal1(A)) & v4_ordinal1(D) -> D = k1_xboole_0 | f3_s9_ordinal2(D,k2_ordinal1(C,D)) = k1_funct_1(C,D)))) & (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))))) & k1_funct_1(C,k1_xboole_0) = f1_s9_ordinal2 & B = k1_ordinal2(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_relat_1(C))))))) -> (all A (v3_ordinal1(A) -> f2_s9_ordinal2(A,f4_s9_ordinal2(A)) = f4_s9_ordinal2(k1_ordinal1(A)))) # label(s9_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.11	2562 (all A (v3_ordinal1(A) -> (all B ((exists C (v1_relat_1(C) & v1_funct_1(C) & v5_ordinal1(C) & f2_s8_ordinal2 = k1_funct_1(C,k1_xboole_0) & (all D (v3_ordinal1(D) -> (v4_ordinal1(D) & r2_hidden(D,k1_ordinal1(A)) -> f4_s8_ordinal2(D,k2_ordinal1(C,D)) = k1_funct_1(C,D) | k1_xboole_0 = D))) & (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))))) & k1_ordinal1(A) = k1_relat_1(C) & k1_ordinal2(C) = B)) <-> f1_s8_ordinal2(A) = B)))) -> f2_s8_ordinal2 = f1_s8_ordinal2(k1_xboole_0) # label(s8_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.11	2563 (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].
11.40/11.11	2564 $T # label(t40_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.11	2565 (all A (v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) -> k1_funct_1(A,k3_tarski(k1_relat_1(A))) = k1_ordinal2(A))) # label(d1_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.11	2566 (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].
11.40/11.11	2567 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (all C (v3_ordinal1(C) -> (k16_ordinal2(A,B) = C <-> (exists D (v1_relat_1(D) & (all E (v3_ordinal1(E) -> (r2_hidden(k1_ordinal1(E),k1_ordinal1(B)) -> k15_ordinal2(A,k1_funct_1(D,E)) = k1_funct_1(D,k1_ordinal1(E))))) & (all E (v3_ordinal1(E) -> (r2_hidden(E,k1_ordinal1(B)) & v4_ordinal1(E) -> k12_ordinal2(k2_ordinal1(D,E)) = k1_funct_1(D,E) | E = k1_xboole_0))) & k1_funct_1(D,k1_xboole_0) = k4_ordinal2 & k1_relat_1(D) = k1_ordinal1(B) & C = k1_ordinal2(D) & v1_ordinal2(D) & v5_ordinal1(D) & v1_funct_1(D)))))))))) # label(d20_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.11	2568 $T # label(t42_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.11	2569 (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].
11.40/11.11	2570 (all A (v5_ordinal1(A) & v1_funct_1(A) & v1_relat_1(A) -> v3_ordinal1(k9_ordinal2(A)))) # label(dt_k9_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.11	2571 (all A (k5_ordinal2 = A <-> r2_hidden(k1_xboole_0,A) & v3_ordinal1(A) & (all B (v3_ordinal1(B) -> (v4_ordinal1(B) & r2_hidden(k1_xboole_0,B) -> r1_tarski(A,B)))) & v4_ordinal1(A))) # label(d5_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.11	2572 (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].
11.40/11.11	2573 $T # label(dt_k1_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.11	2574 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (v4_ordinal1(A) -> (all C (v1_relat_1(C) & v1_funct_1(C) & v1_ordinal2(C) & v5_ordinal1(C) -> ((all D (v3_ordinal1(D) -> (r2_hidden(D,A) -> k15_ordinal2(D,B) = k1_funct_1(C,D)))) & k1_relat_1(C) = A -> k3_tarski(k8_ordinal2(C)) = k15_ordinal2(A,B)))) | A = k1_xboole_0))))) # label(t54_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.11	2575 (exists A (v1_funct_1(A) & v5_ordinal1(A) & v1_ordinal2(A) & v1_relat_1(A))) # label(rc2_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.11	2576 (all A (v1_funct_1(A) & v5_ordinal1(A) & v1_relat_1(A) -> k8_ordinal2(A) = k7_ordinal2(k2_relat_1(A)))) # label(d9_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.11	2577 (exists A (v1_relat_1(A) & v1_funct_1(A) & k1_relat_1(A) = f1_s5_ordinal2 & (all B (v3_ordinal1(B) -> (r2_hidden(k1_ordinal1(B),f1_s5_ordinal2) -> k1_funct_1(A,k1_ordinal1(B)) = f3_s5_ordinal2(B,k1_funct_1(A,B))))) & (all B (v3_ordinal1(B) -> (r2_hidden(B,f1_s5_ordinal2) & v4_ordinal1(B) -> f4_s5_ordinal2(B,k2_ordinal1(A,B)) = k1_funct_1(A,B) | B = k1_xboole_0))) & (r2_hidden(k1_xboole_0,f1_s5_ordinal2) -> f2_s5_ordinal2 = k1_funct_1(A,k1_xboole_0)) & v5_ordinal1(A))) # label(s5_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.11	2578 (all A (v5_ordinal1(A) & v1_funct_1(A) & v1_relat_1(A) -> k7_ordinal2(k2_relat_1(A)) = k8_ordinal2(A) & k6_ordinal2(k2_relat_1(A)) = k9_ordinal2(A))) # label(t35_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.11	2579 (all A (v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) -> (all B (v3_ordinal1(B) -> ((exists C (v1_relat_1(C) & v1_funct_1(C) & v5_ordinal1(C) & v1_ordinal2(C) & (all D (v3_ordinal1(D) -> (r2_hidden(D,k1_relat_1(A)) -> k1_funct_1(C,D) = k6_ordinal2(k2_relat_1(k7_relat_1(A,k4_xboole_0(k1_relat_1(A),D))))))) & k1_relat_1(C) = k1_relat_1(A) & k8_ordinal2(C) = B)) <-> k11_ordinal2(A) = B))))) # label(d12_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.11	2580 (all A (v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) -> (all B (v3_ordinal1(B) -> ((exists C (v1_relat_1(C) & k1_relat_1(C) = k1_relat_1(A) & (all D (v3_ordinal1(D) -> (r2_hidden(D,k1_relat_1(A)) -> k7_ordinal2(k2_relat_1(k7_relat_1(A,k4_xboole_0(k1_relat_1(A),D)))) = k1_funct_1(C,D)))) & k9_ordinal2(C) = B & v1_ordinal2(C) & v5_ordinal1(C) & v1_funct_1(C))) <-> B = k10_ordinal2(A)))))) # label(d11_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.11	2581 (all A (v3_ordinal1(A) -> (all B (v1_funct_1(B) & v5_ordinal1(B) & v1_ordinal2(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].
11.40/11.11	2582 $T # label(t20_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.11	2583 $T # label(t38_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.11	2584 (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].
11.40/11.11	2585 $T # label(t64_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.11	2586 $T # label(t39_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.11	2587 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> k15_ordinal2(A,k16_ordinal2(A,B)) = k16_ordinal2(A,k1_ordinal1(B)))))) # label(t61_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.11	2588 $T # label(t6_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.11	2589 (all A (v1_funct_1(A) & v1_relat_1(A) -> (v1_ordinal2(A) <-> (exists B (v3_ordinal1(B) & r1_tarski(k2_relat_1(A),B)))))) # label(d8_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.11	2590 (all A (v3_ordinal1(A) -> k7_ordinal2(k1_tarski(A)) = k1_ordinal1(A))) # label(t31_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.11	2591 (all A (r2_hidden(A,k5_ordinal2) <-> v4_ordinal2(A))) # label(d21_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.11	2592 (all A all B (v3_ordinal1(B) -> v1_relat_1(k2_funcop_1(A,B)) & v1_ordinal2(k2_funcop_1(A,B)) & v1_funct_1(k2_funcop_1(A,B)))) # label(fc4_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.11	2593 (all A (v3_ordinal1(A) -> k2_ordinal2(A) = A)) # label(t10_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.40/11.11	2594 (exists A (v1_relat_1(A) & v1_funct_1(A) & (all B (v3_ordinal1(B) -> (r2_hidden(B,f1_s2_ordinal2) -> k1_funct_1(A,B) = f2_s2_ordinal2(B)))) & k1_relat_1(A) = f1_s2_ordinal2 & v5_ordinal1(A))) # label(s2_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.49/11.18	2595 (all A r1_ordinal1(k6_ordinal2(A),k7_ordinal2(A))) # label(t32_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.49/11.18	2596 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> k15_ordinal2(k1_ordinal1(A),B) = k14_ordinal2(k15_ordinal2(A,B),B))))) # label(t53_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.49/11.18	2597 $T # label(t12_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.49/11.18	2598 (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].
11.49/11.18	2599 f3_s12_ordinal2 = k1_relat_1(f1_s12_ordinal2) & (r2_hidden(k1_xboole_0,f3_s12_ordinal2) -> f4_s12_ordinal2 = k1_funct_1(f1_s12_ordinal2,k1_xboole_0)) & (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) -> (r2_hidden(A,f3_s12_ordinal2) & v4_ordinal1(A) -> A = k1_xboole_0 | k1_funct_1(f1_s12_ordinal2,A) = f6_s12_ordinal2(A,k2_ordinal1(f1_s12_ordinal2,A))))) & (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> ((exists C (v1_ordinal2(C) & k1_funct_1(C,k1_xboole_0) = f4_s12_ordinal2 & (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_ordinal1(A) = k1_relat_1(C) & B = k1_ordinal2(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_relat_1(C))) <-> f2_s12_ordinal2(A) = B))))) -> (all A (v3_ordinal1(A) -> (r2_hidden(A,k1_relat_1(f1_s12_ordinal2)) -> k1_funct_1(f1_s12_ordinal2,A) = f2_s12_ordinal2(A)))) # label(s12_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.49/11.18	2600 (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].
11.49/11.18	2601 (all A r1_tarski(k3_ordinal2(A),A)) # label(t13_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.49/11.18	2602 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (v4_ordinal1(A) -> (all C (v5_ordinal1(C) & v1_ordinal2(C) & v1_funct_1(C) & v1_relat_1(C) -> ((all D (v3_ordinal1(D) -> (r2_hidden(D,A) -> k1_funct_1(C,D) = k14_ordinal2(B,D)))) & k1_relat_1(C) = A -> k14_ordinal2(B,A) = k8_ordinal2(C)))) | k1_xboole_0 = A))))) # label(t46_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.49/11.18	2603 (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].
11.49/11.18	2604 (all A (v3_ordinal1(A) -> k1_xboole_0 = k15_ordinal2(k1_xboole_0,A))) # label(t52_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.49/11.18	2605 (all A (v3_ordinal1(A) -> (all B (m1_ordinal1(B,A) -> v1_ordinal2(B))))) # label(cc1_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.49/11.18	2606 (all A (v3_ordinal1(A) -> k3_tarski(k1_ordinal1(A)) = A)) # label(t2_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.49/11.18	2607 (all A r1_tarski(k3_ordinal2(A),k2_ordinal2(A))) # label(t15_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.49/11.18	2608 (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].
11.49/11.18	2609 f2_s10_ordinal2 != k1_xboole_0 & (all A (v3_ordinal1(A) -> (r2_hidden(A,f2_s10_ordinal2) -> k1_funct_1(f1_s10_ordinal2,A) = f3_s10_ordinal2(A)))) & f2_s10_ordinal2 = k1_relat_1(f1_s10_ordinal2) & v4_ordinal1(f2_s10_ordinal2) & (all A (v3_ordinal1(A) -> (all B (B = f3_s10_ordinal2(A) <-> (exists C (v1_funct_1(C) & k1_ordinal2(C) = B & f4_s10_ordinal2 = k1_funct_1(C,k1_xboole_0) & (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)))) & (all D (v3_ordinal1(D) -> (r2_hidden(k1_ordinal1(D),k1_ordinal1(A)) -> f5_s10_ordinal2(D,k1_funct_1(C,D)) = k1_funct_1(C,k1_ordinal1(D))))) & k1_ordinal1(A) = k1_relat_1(C) & v5_ordinal1(C) & v1_relat_1(C))))))) -> f6_s10_ordinal2(f2_s10_ordinal2,f1_s10_ordinal2) = f3_s10_ordinal2(f2_s10_ordinal2) # label(s10_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.49/11.21	2610 k1_relat_1(f5_s4_ordinal2) = f1_s4_ordinal2 & (all A (v3_ordinal1(A) -> (r2_hidden(A,f1_s4_ordinal2) & v4_ordinal1(A) -> f4_s4_ordinal2(A,k2_ordinal1(f5_s4_ordinal2,A)) = k1_funct_1(f5_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) -> f4_s4_ordinal2(A,k2_ordinal1(f6_s4_ordinal2,A)) = k1_funct_1(f6_s4_ordinal2,A) | A = k1_xboole_0))) & (r2_hidden(k1_xboole_0,f1_s4_ordinal2) -> f2_s4_ordinal2 = k1_funct_1(f6_s4_ordinal2,k1_xboole_0)) & f1_s4_ordinal2 = k1_relat_1(f6_s4_ordinal2) & (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) -> k1_funct_1(f5_s4_ordinal2,k1_xboole_0) = f2_s4_ordinal2) -> f6_s4_ordinal2 = f5_s4_ordinal2 # label(s4_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.49/11.21	2611 (all A (v1_funct_1(A) & v1_ordinal2(A) & v5_ordinal1(A) & v1_relat_1(A) -> (v2_ordinal2(A) <-> (all B (v3_ordinal1(B) -> (all C (v3_ordinal1(C) -> (r2_hidden(B,C) & r2_hidden(C,k1_relat_1(A)) -> r2_hidden(k1_funct_1(A,B),k1_funct_1(A,C)))))))))) # label(d16_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.49/11.21	2612 (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].
11.49/11.21	2613 (all A (v3_ordinal1(A) -> (all B (v1_relat_1(B) & v5_ordinal1(B) & v1_ordinal2(B) & v1_funct_1(B) -> (k1_xboole_0 != A -> (r1_ordinal2(A,B) <-> (all C (v3_ordinal1(C) -> (all D (v3_ordinal1(D) -> -(r2_hidden(A,D) & (all E (v3_ordinal1(E) -> -(r2_hidden(E,k1_relat_1(B)) & (all F (v3_ordinal1(F) -> (r1_ordinal1(E,F) & r2_hidden(F,k1_relat_1(B)) -> r2_hidden(C,k1_funct_1(B,F)) & r2_hidden(k1_funct_1(B,F),D))))))) & r2_hidden(C,A)))))))) & (A = k1_xboole_0 -> ((exists C (r2_hidden(C,k1_relat_1(B)) & (all D (v3_ordinal1(D) -> (r2_hidden(D,k1_relat_1(B)) & r1_ordinal1(C,D) -> k1_xboole_0 = k1_funct_1(B,D)))) & v3_ordinal1(C))) <-> r1_ordinal2(A,B))))))) # label(d13_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.49/11.21	2614 (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].
11.49/11.21	2615 $T # label(dt_k5_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.49/11.21	2616 (all A (v3_ordinal1(A) -> (exists B ((exists C (v3_ordinal1(C) & v4_ordinal1(B) & A = k14_ordinal2(B,C) & v4_ordinal2(C))) & v3_ordinal1(B))))) # label(t65_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.49/11.21	2617 $T # label(t21_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.49/11.21	2618 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (all C (v3_ordinal1(C) -> ((exists D (v1_ordinal2(D) & C = k1_ordinal2(D) & (all E (v3_ordinal1(E) -> (r2_hidden(k1_ordinal1(E),k1_ordinal1(B)) -> k1_ordinal1(k1_funct_1(D,E)) = k1_funct_1(D,k1_ordinal1(E))))) & (all E (v3_ordinal1(E) -> (r2_hidden(E,k1_ordinal1(B)) & v4_ordinal1(E) -> k1_xboole_0 = E | k8_ordinal2(k2_ordinal1(D,E)) = k1_funct_1(D,E)))) & A = k1_funct_1(D,k1_xboole_0) & k1_relat_1(D) = k1_ordinal1(B) & v5_ordinal1(D) & v1_funct_1(D) & v1_relat_1(D))) <-> k14_ordinal2(A,B) = C))))))) # label(d18_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.49/11.21	2619 (all A (v3_ordinal1(A) -> A = k14_ordinal2(k1_xboole_0,A))) # label(t47_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.49/11.22	2620 (all A (v1_funct_1(A) & v5_ordinal1(A) & v1_relat_1(A) -> v3_ordinal1(k8_ordinal2(A)))) # label(dt_k8_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.49/11.22	2621 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (all C (v3_ordinal1(C) -> (r2_hidden(B,C) -> k1_xboole_0 = A | r2_hidden(k15_ordinal2(B,A),k15_ordinal2(C,A))))))))) # label(t57_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.49/11.22	2622 $T # label(t18_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.49/11.22	2623 (all A (v3_ordinal1(A) -> (all B (v5_ordinal1(B) & v1_funct_1(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].
11.49/11.22	2624 (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].
11.49/11.22	2625 (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].
11.49/11.22	2626 (exists A (v1_funct_1(A) & v5_ordinal1(A) & f1_s11_ordinal2 = k1_relat_1(A) & (r2_hidden(k1_xboole_0,f1_s11_ordinal2) -> k1_funct_1(A,k1_xboole_0) = f2_s11_ordinal2) & (all B (v3_ordinal1(B) -> (v4_ordinal1(B) & r2_hidden(B,f1_s11_ordinal2) -> B = k1_xboole_0 | f4_s11_ordinal2(B,k2_ordinal1(A,B)) = k1_funct_1(A,B)))) & (all B (v3_ordinal1(B) -> (r2_hidden(k1_ordinal1(B),f1_s11_ordinal2) -> k1_funct_1(A,k1_ordinal1(B)) = f3_s11_ordinal2(B,k1_funct_1(A,B))))) & v1_ordinal2(A) & v1_relat_1(A))) # label(s11_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.49/11.22	2627 (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)))) -> p1_s1_ordinal2(A) | A = k1_xboole_0))) & p1_s1_ordinal2(k1_xboole_0) -> (all A (v3_ordinal1(A) -> p1_s1_ordinal2(A))) # label(s1_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.49/11.22	2628 (exists A exists B (v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & k1_ordinal2(B) = A & (all C (v3_ordinal1(C) -> (r2_hidden(C,k1_ordinal1(f1_s7_ordinal2)) & v4_ordinal1(C) -> k1_funct_1(B,C) = f4_s7_ordinal2(C,k2_ordinal1(B,C)) | k1_xboole_0 = C))) & (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))))) & f2_s7_ordinal2 = k1_funct_1(B,k1_xboole_0) & k1_relat_1(B) = k1_ordinal1(f1_s7_ordinal2))) # label(s7_ordinal2_AndLHS) # label(axiom) # label(non_clause).  [assumption].
11.49/11.22	2629 (all A all B -((exists C (v1_funct_1(C) & k1_ordinal1(f1_s7_ordinal2) = k1_relat_1(C) & (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) -> (v4_ordinal1(D) & r2_hidden(D,k1_ordinal1(f1_s7_ordinal2)) -> D = k1_xboole_0 | k1_funct_1(C,D) = f4_s7_ordinal2(D,k2_ordinal1(C,D))))) & f2_s7_ordinal2 = k1_funct_1(C,k1_xboole_0) & k1_ordinal2(C) = A & v5_ordinal1(C) & v1_relat_1(C))) & B != A & (exists C (v5_ordinal1(C) & B = k1_ordinal2(C) & (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) -> (v4_ordinal1(D) & r2_hidden(D,k1_ordinal1(f1_s7_ordinal2)) -> k1_funct_1(C,D) = f4_s7_ordinal2(D,k2_ordinal1(C,D)) | D = k1_xboole_0))) & k1_funct_1(C,k1_xboole_0) = f2_s7_ordinal2 & k1_ordinal1(f1_s7_ordinal2) = k1_relat_1(C) & v1_funct_1(C) & v1_relat_1(C))))) # label(s7_ordinal2_AndRHS) # label(axiom) # label(non_clause).  [assumption].
11.49/11.22	2630 (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].
11.49/11.22	2631 (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].
11.60/11.34	2632 (all A (v3_ordinal1(A) -> A = k14_ordinal2(A,k1_xboole_0))) # label(t44_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.60/11.34	2633 (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].
11.60/11.34	2634 (all A (v3_ordinal1(A) -> (all B (f2_s6_ordinal2(A) = B <-> (exists C (v1_funct_1(C) & k1_ordinal2(C) = B & 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)) = f5_s6_ordinal2(D,k1_funct_1(C,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))))) & k1_funct_1(C,k1_xboole_0) = f4_s6_ordinal2 & v5_ordinal1(C) & v1_relat_1(C))))))) & (r2_hidden(k1_xboole_0,f3_s6_ordinal2) -> f4_s6_ordinal2 = k1_funct_1(f1_s6_ordinal2,k1_xboole_0)) & (all A (v3_ordinal1(A) -> (v4_ordinal1(A) & r2_hidden(A,f3_s6_ordinal2) -> A = k1_xboole_0 | f6_s6_ordinal2(A,k2_ordinal1(f1_s6_ordinal2,A)) = k1_funct_1(f1_s6_ordinal2,A)))) & (all A (v3_ordinal1(A) -> (r2_hidden(k1_ordinal1(A),f3_s6_ordinal2) -> f5_s6_ordinal2(A,k1_funct_1(f1_s6_ordinal2,A)) = k1_funct_1(f1_s6_ordinal2,k1_ordinal1(A))))) & k1_relat_1(f1_s6_ordinal2) = f3_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].
11.60/11.34	2635 (exists A (v1_relat_1(A) & (all B (v3_ordinal1(B) -> (r2_hidden(B,f1_s3_ordinal2) -> k1_funct_1(A,B) = f2_s3_ordinal2(B)))) & k1_relat_1(A) = f1_s3_ordinal2 & v1_ordinal2(A) & v5_ordinal1(A) & v1_funct_1(A))) # label(s3_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.60/11.34	2636 (all A (v3_ordinal1(A) -> k4_ordinal2 = k16_ordinal2(A,k1_xboole_0))) # label(t60_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.60/11.34	2637 (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].
11.60/11.34	2638 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> ((exists C (v1_relat_1(C) & v1_funct_1(C) & v5_ordinal1(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_s15_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) = f3_s15_ordinal2(D,k2_ordinal1(C,D)) | k1_xboole_0 = D))) & k1_funct_1(C,k1_xboole_0) = f1_s15_ordinal2 & k1_ordinal1(A) = k1_relat_1(C) & v1_ordinal2(C))) <-> f4_s15_ordinal2(A) = B))))) -> (all A (v3_ordinal1(A) -> f4_s15_ordinal2(k1_ordinal1(A)) = f2_s15_ordinal2(A,f4_s15_ordinal2(A)))) # label(s15_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.60/11.34	2639 (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)) | k1_xboole_0 = k2_ordinal2(B))))) # label(t23_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.60/11.34	2640 (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) -> k16_ordinal2(B,D) = k1_funct_1(C,D)))) -> k16_ordinal2(B,A) = k12_ordinal2(C)))) | A = k1_xboole_0))))) # label(t62_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.60/11.34	2641 (all A (v3_ordinal1(A) -> r1_tarski(k1_ordinal1(A),k1_zfmisc_1(A)))) # label(t3_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.60/11.34	2642 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (all C (v3_ordinal1(C) -> (k15_ordinal2(A,B) = C <-> (exists D (v1_relat_1(D) & v1_funct_1(D) & k1_funct_1(D,k1_xboole_0) = 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))))) & (all E (v3_ordinal1(E) -> (v4_ordinal1(E) & r2_hidden(E,k1_ordinal1(A)) -> k1_xboole_0 = E | k1_funct_1(D,E) = k3_tarski(k8_ordinal2(k2_ordinal1(D,E)))))) & k1_relat_1(D) = k1_ordinal1(A) & k1_ordinal2(D) = C & v1_ordinal2(D) & v5_ordinal1(D)))))))))) # label(d19_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2643 (all A (v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_ordinal2(A) -> v3_ordinal1(k12_ordinal2(A)))) # label(dt_k12_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2644 (all A (v3_ordinal1(A) -> k1_xboole_0 = k15_ordinal2(A,k1_xboole_0))) # label(t55_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2645 (all A v3_ordinal1(k6_ordinal2(A))) # label(dt_k6_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2646 (all A all B (v3_ordinal1(A) & v3_ordinal1(B) -> v3_ordinal1(k16_ordinal2(A,B)))) # label(dt_k16_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2647 (all A all B (v1_relat_1(B) & v1_funct_1(B) & v1_ordinal2(B) & v5_ordinal1(B) & v3_ordinal1(A) -> v3_ordinal1(k13_ordinal2(A,B)))) # label(dt_k13_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2648 (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].
11.67/11.34	2649 $T # label(dt_k3_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2650 $T # label(t8_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2651 $T # label(t41_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2652 (all A all B (v3_ordinal1(B) & v3_ordinal1(A) -> v3_ordinal1(k14_ordinal2(A,B)))) # label(dt_k14_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2653 (all A (v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) -> v3_ordinal1(k11_ordinal2(A)))) # label(dt_k11_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2654 (all A (v1_funct_1(A) & v5_ordinal1(A) & v1_relat_1(A) -> k6_ordinal2(k2_relat_1(A)) = k9_ordinal2(A))) # label(d10_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2655 (all A (v3_ordinal1(A) -> k15_ordinal2(k4_ordinal2,A) = A & k15_ordinal2(A,k4_ordinal2) = A)) # label(t56_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2656 $T # label(t33_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2657 $T # label(t37_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2658 (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].
11.67/11.34	2659 (all A r1_tarski(k2_ordinal2(A),A)) # label(t9_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2660 (all A (v3_ordinal1(A) -> A = k7_ordinal2(A))) # label(t26_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2661 (all A (v3_ordinal1(A) -> r1_ordinal1(k3_tarski(A),A))) # label(t5_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2662 (all A v3_ordinal1(k7_ordinal2(A))) # label(dt_k7_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2663 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> ((exists C (v1_relat_1(C) & v5_ordinal1(C) & k1_funct_1(C,k1_xboole_0) = f4_s16_ordinal2 & (all D (v3_ordinal1(D) -> (r2_hidden(D,k1_ordinal1(A)) & v4_ordinal1(D) -> k1_funct_1(C,D) = f6_s16_ordinal2(D,k2_ordinal1(C,D)) | D = k1_xboole_0))) & (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))))) & k1_relat_1(C) = k1_ordinal1(A) & k1_ordinal2(C) = B & v1_ordinal2(C) & v1_funct_1(C))) <-> B = f3_s16_ordinal2(A)))))) & f2_s16_ordinal2 != k1_xboole_0 & v4_ordinal1(f2_s16_ordinal2) & (all A (v3_ordinal1(A) -> (r2_hidden(A,f2_s16_ordinal2) -> f3_s16_ordinal2(A) = k1_funct_1(f1_s16_ordinal2,A)))) & f2_s16_ordinal2 = k1_relat_1(f1_s16_ordinal2) -> f6_s16_ordinal2(f2_s16_ordinal2,f1_s16_ordinal2) = f3_s16_ordinal2(f2_s16_ordinal2) # label(s16_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2664 (all A all B (v1_relat_1(A) & v5_ordinal1(A) & v1_ordinal2(A) & v3_ordinal1(B) & v1_funct_1(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].
11.67/11.34	2665 (all A (v3_ordinal1(A) -> k16_ordinal2(k4_ordinal2,A) = k4_ordinal2 & A = k16_ordinal2(A,k4_ordinal2))) # label(t63_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2666 (all A all B (v3_ordinal1(B) -> (r1_tarski(k2_ordinal2(A),B) & (all C (v3_ordinal1(C) -> (r1_tarski(k2_ordinal2(A),C) -> r1_ordinal1(B,C)))) <-> B = k7_ordinal2(A)))) # label(d7_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2667 $T # label(dt_k2_ordinal2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2668 $T # label(t8_finset_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2669 (all A all B (v1_finset_1(B) & v1_finset_1(A) -> v1_finset_1(k2_zfmisc_1(A,B)))) # label(t19_finset_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2670 (all A (v1_funct_1(A) & v1_relat_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].
11.67/11.34	2671 (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].
11.67/11.34	2672 (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].
11.67/11.34	2673 (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].
11.67/11.34	2674 $T # label(t4_finset_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2675 (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].
11.67/11.34	2676 (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].
11.67/11.34	2677 $T # label(t6_finset_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	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].
11.67/11.34	2679 (all A all B (v1_finset_1(B) & v1_finset_1(A) -> v1_finset_1(k5_xboole_0(A,B)))) # label(t28_finset_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2680 (all A all B all C (v1_finset_1(B) & v1_finset_1(C) & v1_finset_1(A) -> v1_finset_1(k3_zfmisc_1(A,B,C)))) # label(fc15_finset_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2681 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (v1_finset_1(A) -> v1_finset_1(k9_relat_1(B,A))))) # label(t17_finset_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2682 $T # label(t12_finset_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2683 (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].
11.67/11.34	2684 (all A -((all B -(r2_hidden(B,A) & (all C (r2_hidden(C,A) -> r1_tarski(B,C))))) & v6_ordinal1(A) & A != k1_xboole_0 & v1_finset_1(A))) # label(t30_finset_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2685 (exists A (v1_finset_1(A) & -v1_xboole_0(A))) # label(rc1_finset_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2686 $T # label(t9_finset_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2687 (all A all B (v1_finset_1(A) & v1_finset_1(B) -> v1_finset_1(k2_xboole_0(A,B)))) # label(fc9_finset_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2688 (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].
11.67/11.34	2689 $T # label(t3_finset_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2690 (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].
11.67/11.34	2691 (exists A (v1_funct_1(A) & f1_s1_finset_1 = k1_relat_1(A) & (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) -> f3_s1_finset_1(B) = k1_funct_1(A,B))))) & v1_relat_1(A))) # label(s1_finset_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2692 $T # label(t2_finset_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2693 (all A ((all B (r2_hidden(B,A) -> v1_finset_1(B))) & v1_finset_1(A) <-> v1_finset_1(k3_tarski(A)))) # label(t25_finset_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2694 $T # label(t7_finset_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2695 (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].
11.67/11.34	2696 $T # label(t10_finset_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2697 (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].
11.67/11.34	2698 (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].
11.67/11.34	2699 (all A all B (v1_finset_1(k2_zfmisc_1(B,A)) -> v1_finset_1(B) | k1_xboole_0 = A)) # label(t22_finset_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2700 (all A (v1_finset_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> -((all C -((all D (r2_hidden(D,B) & r1_tarski(C,D) -> D = C)) & r2_hidden(C,B))) & B != k1_xboole_0))))) # label(t18_finset_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2701 (all A (v1_finset_1(A) <-> (exists B (v1_relat_1(B) & v1_funct_1(B) & k2_relat_1(B) = A & r2_hidden(k1_relat_1(B),k5_ordinal2))))) # label(d1_finset_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2702 (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].
11.67/11.34	2703 v1_finset_1(f1_s2_finset_1) & p1_s2_finset_1(k1_xboole_0) & (all A all B (r1_tarski(B,f1_s2_finset_1) & p1_s2_finset_1(B) & r2_hidden(A,f1_s2_finset_1) -> p1_s2_finset_1(k2_xboole_0(B,k1_tarski(A))))) -> p1_s2_finset_1(f1_s2_finset_1) # label(s2_finset_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2704 (all A all B all C all D (v1_finset_1(A) & v1_finset_1(D) & v1_finset_1(C) & v1_finset_1(B) -> v1_finset_1(k4_zfmisc_1(A,B,C,D)))) # label(fc16_finset_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2705 $T # label(t1_finset_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2706 (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].
11.67/11.34	2707 (all A all B all C v1_finset_1(k1_enumset1(A,B,C))) # label(fc3_finset_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2708 (all A -(v6_ordinal1(A) & (all B -((all C (r2_hidden(C,A) -> r1_tarski(C,B))) & r2_hidden(B,A))) & k1_xboole_0 != A & v1_finset_1(A))) # label(t31_finset_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2709 $T # label(t11_finset_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2710 (all A all B all C (v1_finset_1(B) & v1_finset_1(C) & v1_finset_1(A) -> v1_finset_1(k3_zfmisc_1(A,B,C)))) # label(t20_finset_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2711 (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].
11.67/11.34	2712 (all A (-v1_xboole_0(k1_tarski(A)) & v1_finset_1(k1_tarski(A)))) # label(fc1_finset_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2713 $T # label(t5_finset_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2714 (all A (v1_finset_1(k1_zfmisc_1(A)) <-> v1_finset_1(A))) # label(t24_finset_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2715 (all A all B (v1_finset_1(k2_zfmisc_1(A,B)) -> k1_xboole_0 = A | v1_finset_1(B))) # label(t23_finset_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2716 (all A (v1_xboole_0(A) -> v1_finset_1(A))) # label(cc1_finset_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2717 (all A all B (v1_relat_1(A) & v1_finset_1(B) & v1_funct_1(A) -> v1_finset_1(k9_relat_1(A,B)))) # label(fc13_finset_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2718 (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].
11.67/11.34	2719 (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].
11.67/11.34	2720 (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].
11.67/11.34	2721 (all A exists B (m1_subset_1(B,k1_zfmisc_1(A)) & v1_xboole_0(B) & v1_relat_1(B) & v2_funct_1(B) & v2_ordinal1(B) & v4_ordinal2(B) & v1_finset_1(B) & v3_ordinal1(B) & v1_ordinal1(B) & v1_funct_1(B))) # label(rc2_finset_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2722 (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].
11.67/11.34	2723 (all A (-v1_xboole_0(A) -> (exists B (-v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(A)))))) # label(rc3_finset_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2724 (all A all B (v1_finset_1(k2_tarski(A,B)) & -v1_xboole_0(k2_tarski(A,B)))) # label(fc2_finset_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2725 (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].
11.67/11.34	2726 (exists A (-v1_xboole_0(A) & v1_finsub_1(A) & v4_finsub_1(A) & v3_finsub_1(A) & v2_finsub_1(A))) # label(rc1_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2727 (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_finsub_1(A,B,B) = B)) # label(idempotence_k3_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2728 (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].
11.67/11.34	2729 $T # label(t31_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2730 (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,B,C) = k5_xboole_0(B,C))) # label(redefinition_k4_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2731 (all A r1_tarski(k5_finsub_1(A),k1_zfmisc_1(A))) # label(t26_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2732 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,A) & m1_subset_1(B,A) & v4_finsub_1(A) -> k1_finsub_1(A,B,C) = k1_finsub_1(A,C,B))) # label(commutativity_k1_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2733 $T # label(t2_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2734 (all A all B all C (m1_subset_1(C,A) & m1_subset_1(B,A) & v4_finsub_1(A) & -v1_xboole_0(A) -> k2_finsub_1(A,B,C) = k4_xboole_0(B,C))) # label(redefinition_k2_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2735 $T # label(t19_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2736 (all A (v4_finsub_1(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))))) # label(t10_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2737 (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].
11.67/11.34	2738 $T # label(t33_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2739 $T # label(t3_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2740 (all A (v2_finsub_1(A) <-> (all B all C (r2_hidden(C,A) & r2_hidden(B,A) -> r2_hidden(k3_xboole_0(B,C),A))))) # label(d2_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2741 $T # label(t9_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2742 (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].
11.67/11.34	2743 (all A (-v1_xboole_0(k5_finsub_1(A)) & v3_finsub_1(k5_finsub_1(A)) & v4_finsub_1(k5_finsub_1(A)) & v1_finsub_1(k5_finsub_1(A)))) # label(fc2_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2744 (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].
11.67/11.34	2745 (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].
11.67/11.34	2746 (all A (v1_finset_1(A) -> k5_finsub_1(A) = k1_zfmisc_1(A))) # label(t27_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2747 $T # label(t1_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2748 (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(k3_finsub_1(A,B,C),A))) # label(dt_k3_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2749 (all A (v4_finsub_1(A) & -v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & v4_finsub_1(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].
11.67/11.34	2750 $T # label(t11_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2751 (all A ((all B all C (r2_hidden(B,A) & r2_hidden(C,A) -> r2_hidden(k2_xboole_0(B,C),A))) <-> v1_finsub_1(A))) # label(d1_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2752 (all A (-v1_xboole_0(k1_zfmisc_1(A)) & v3_finsub_1(k1_zfmisc_1(A)) & v4_finsub_1(k1_zfmisc_1(A)) & v1_finsub_1(k1_zfmisc_1(A)))) # label(fc1_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2753 (all A (-v1_xboole_0(A) -> ((all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> r2_hidden(k4_xboole_0(B,C),A) & r2_hidden(k5_xboole_0(B,C),A))))) -> v4_finsub_1(A)))) # label(t15_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2754 $T # label(t22_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2755 $T # label(t6_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2756 (all A (v4_finsub_1(A) -> v3_finsub_1(A) & v1_finsub_1(A))) # label(cc1_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2757 (all A (v3_finsub_1(A) <-> (all B all C (r2_hidden(C,A) & r2_hidden(B,A) -> r2_hidden(k4_xboole_0(B,C),A))))) # label(d3_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2758 (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].
11.67/11.34	2759 (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].
11.67/11.34	2760 (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(k2_finsub_1(A,B,C),A))) # label(dt_k2_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2761 $T # label(t5_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2762 (all A all B all C (m1_subset_1(B,A) & m1_subset_1(C,A) & v4_finsub_1(A) & -v1_xboole_0(A) -> k1_finsub_1(A,B,B) = B)) # label(idempotence_k1_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2763 $T # label(t4_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2764 (all A v4_finsub_1(k5_finsub_1(A))) # label(dt_k5_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2765 $T # label(t12_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2766 (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_finsub_1(A,B,C) = k4_finsub_1(A,C,B))) # label(commutativity_k4_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2767 (all A all B all C (-v1_xboole_0(C) & v4_finsub_1(C) -> (m1_subset_1(B,C) & m1_subset_1(A,C) -> m1_subset_1(k5_xboole_0(A,B),C)))) # label(t14_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2768 $T # label(t7_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2769 (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].
11.67/11.34	2770 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & v4_finsub_1(A) -> k3_finsub_1(A,C,B) = k3_finsub_1(A,B,C))) # label(commutativity_k3_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2771 $T # label(t8_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2772 (all A all B all C (-v1_xboole_0(A) & v4_finsub_1(A) & m1_subset_1(B,A) & m1_subset_1(C,A) -> m1_subset_1(k1_finsub_1(A,B,C),A))) # label(dt_k1_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2773 (all A (v3_finsub_1(A) & v1_finsub_1(A) <-> v4_finsub_1(A))) # label(d4_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2774 $T # label(t29_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2775 (all A v4_finsub_1(k1_zfmisc_1(A))) # label(t20_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2776 (all A (v3_finsub_1(A) & v1_finsub_1(A) -> v4_finsub_1(A))) # label(cc2_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2777 (all A all B all C (-v1_xboole_0(A) & v4_finsub_1(A) & m1_subset_1(B,A) & m1_subset_1(C,A) -> m1_subset_1(k4_finsub_1(A,B,C),A))) # label(dt_k4_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2778 (all A all B k5_finsub_1(k3_xboole_0(A,B)) = k3_xboole_0(k5_finsub_1(A),k5_finsub_1(B))) # label(t24_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2779 (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].
11.67/11.34	2780 (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].
11.67/11.34	2781 (all A all B (v4_finsub_1(B) -> ((all C (v1_finset_1(C) & r1_tarski(C,A) <-> r2_hidden(C,B))) <-> B = k5_finsub_1(A)))) # label(d5_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	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) -> k3_xboole_0(B,C) = k3_finsub_1(A,B,C))) # label(redefinition_k3_finsub_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2783 (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,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].
11.67/11.34	2784 $T # label(t9_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2785 (all A v1_setwiseo(k9_setwiseo(A),k5_finsub_1(A))) # label(t53_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2786 (all A all B all C -(-r2_hidden(C,A) & -r1_tarski(A,B) & r1_tarski(A,k2_xboole_0(B,k1_tarski(C))))) # label(t5_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.34	2787 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all 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) -> (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)) -> (E != k1_xboole_0 -> (all F (v1_funct_1(F) & m2_relset_1(F,B,k5_finsub_1(C)) & v1_funct_2(F,B,k5_finsub_1(C)) -> (all G (v1_funct_1(G) & m2_relset_1(G,k5_finsub_1(C),A) & v1_funct_2(G,k5_finsub_1(C),A) -> ((all H (m1_subset_1(H,k5_finsub_1(C)) -> (all I (m1_subset_1(I,k5_finsub_1(C)) -> k8_funct_2(k5_finsub_1(C),A,G,k5_setwiseo(C,H,I)) = 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,k10_setwiseo(B,C,E,F)) = k7_setwiseo(B,A,D,E,k7_funct_2(B,k5_finsub_1(C),A,F,G))))))))))))))))) # label(t64_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.35	2788 $T # label(t1_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.35	2789 (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,A) -> (all E (m1_subset_1(E,A) -> k10_setwiseo(A,B,k3_setwiseo(A,D,E),C) = k5_setwiseo(B,k8_funct_2(A,k5_finsub_1(B),C,D),k8_funct_2(A,k5_finsub_1(B),C,E)))))))))) # label(t57_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.35	2790 (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].
11.67/11.35	2791 (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) -> (v1_setwiseo(B,A) <-> r3_binop_1(A,k3_binop_1(A,B),B)))))) # label(t22_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.35	2792 $T # label(t17_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.35	2793 (all A r3_binop_1(k5_finsub_1(A),k1_setwiseo(A),k9_setwiseo(A))) # label(t52_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.35	2794 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,A) -> m1_subset_1(k2_setwiseo(A,B),k5_finsub_1(A)))) # label(dt_k2_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.35	2795 (all A all B all C all D (m1_subset_1(C,A) & m1_subset_1(D,A) & m1_subset_1(B,A) & -v1_xboole_0(A) -> k4_setwiseo(A,B,C,D) = k1_enumset1(B,C,D))) # label(redefinition_k4_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.35	2796 (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].
11.67/11.35	2797 (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(k6_setwiseo(A,B,C),k5_finsub_1(A)))) # label(dt_k6_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.35	2798 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,B,A) & m2_relset_1(C,B,A) -> (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].
11.67/11.35	2799 (all A all B all C all D all E (-v1_xboole_0(A) & -v1_xboole_0(B) & m1_subset_1(D,k5_finsub_1(A)) & v1_funct_1(E) & v1_funct_2(E,A,B) & m1_relset_1(E,A,B) & m1_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & v1_funct_1(C) -> m1_subset_1(k7_setwiseo(A,B,C,D,E),B))) # label(dt_k7_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.35	2800 (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 (m1_subset_1(D,k5_finsub_1(A)) -> (all E (v1_funct_2(E,A,B) & m2_relset_1(E,A,B) & v1_funct_1(E) -> (v2_binop_1(C,B) & v1_binop_1(C,B) -> (all F (m1_subset_1(F,B) -> ((exists G (v1_funct_1(G) & v1_funct_2(G,k5_finsub_1(A),B) & (all H (m1_subset_1(H,k5_finsub_1(A)) -> (r1_tarski(H,D) -> (all I (m1_subset_1(I,A) -> (r2_hidden(I,k6_setwiseo(A,D,H)) -> 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))))) | k1_xboole_0 = H))) & (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,B) -> (r3_binop_1(B,H,C) -> H = k1_funct_1(G,k1_xboole_0)))) & k8_funct_2(k5_finsub_1(A),B,G,D) = F & m2_relset_1(G,k5_finsub_1(A),B))) <-> k7_setwiseo(A,B,C,D,E) = F))) | -v1_setwiseo(C,B) & k1_xboole_0 = D))))))))))) # label(d3_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.35	2801 (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) -> (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) & v1_funct_2(E,A,B) & m2_relset_1(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,D,F) = k2_funct_2(A,B,E,G) -> F = k1_xboole_0 | k7_setwiseo(A,B,C,G,E) = k7_setwiseo(A,B,C,F,D))))))))))))))))) # label(t35_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.35	2802 (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) -> A = k1_xboole_0 | p1_s3_setwiseo(k5_setwiseo(f1_s3_setwiseo,A,B)) | B = k1_xboole_0))))) -> (all A (m1_subset_1(A,k5_finsub_1(f1_s3_setwiseo)) -> (A != k1_xboole_0 -> p1_s3_setwiseo(A)))) # label(s3_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.35	2803 (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) -> (v1_setwiseo(B,A) <-> (exists C (r3_binop_1(A,C,B) & m1_subset_1(C,A)))))))) # label(d2_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.35	2804 (all 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)) & v1_funct_1(k9_setwiseo(A)))) # label(dt_k9_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.35	2805 (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].
11.67/11.35	2806 (all A all B (m2_relset_1(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k5_finsub_1(A)) & v1_funct_2(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k5_finsub_1(A)) & v1_funct_1(B) -> (k9_setwiseo(A) = B <-> (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)))))))) # label(d4_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.35	2807 (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].
11.67/11.35	2808 (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].
11.67/11.35	2809 (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 (r2_hidden(E,k10_setwiseo(A,B,D,C)) <-> (exists F (m1_subset_1(F,A) & r2_hidden(E,k8_funct_2(A,k5_finsub_1(B),C,F)) & r2_hidden(F,D))))))))))) # label(t70_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.35	2810 (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) -> (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].
11.67/11.35	2811 (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) -> k2_binop_1(A,A,A,B,k3_binop_1(A,B),C) = C & k2_binop_1(A,A,A,B,C,k3_binop_1(A,B)) = C))))))) # label(t23_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.35	2812 $T # label(t46_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.35	2813 (all A v2_binop_1(k9_setwiseo(A),k5_finsub_1(A))) # label(t51_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.35	2814 (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,A),A) & m2_relset_1(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)) -> (E != k1_xboole_0 -> (all F (m2_relset_1(F,B,C) & v1_funct_2(F,B,C) & v1_funct_1(F) -> (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(t38_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.35	2815 (all A exists B (m1_subset_1(B,k5_finsub_1(A)) & v1_finset_1(B) & v1_xboole_0(B))) # label(rc1_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.35	2816 (all A all B all C all D (-v1_xboole_0(A) & v1_funct_2(C,A,B) & m1_subset_1(D,k5_finsub_1(A)) & m1_relset_1(C,A,B) & v1_funct_1(C) & -v1_xboole_0(B) -> k9_relat_1(C,D) = k8_setwiseo(A,B,C,D))) # label(redefinition_k8_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.35	2817 (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(A,A),A) & v1_funct_2(D,k2_zfmisc_1(A,A),A) -> (v1_binop_1(C,A) & v2_binop_1(C,A) & r6_binop_1(A,D,C) & v3_binop_1(C,A) -> (all E (m1_subset_1(E,k5_finsub_1(B)) -> (E != k1_xboole_0 -> (all F (m2_relset_1(F,B,A) & v1_funct_2(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].
11.67/11.35	2818 (all A (-v1_xboole_0(A) -> (all B all C (v1_funct_2(C,A,k5_finsub_1(B)) & m2_relset_1(C,A,k5_finsub_1(B)) & v1_funct_1(C) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,k5_finsub_1(A)) -> k10_setwiseo(A,B,k5_setwiseo(A,E,k2_setwiseo(A,D)),C) = k5_setwiseo(B,k10_setwiseo(A,B,E,C),k8_funct_2(A,k5_finsub_1(B),C,D)))))))))) # label(t60_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.35	2819 (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_2(E,A,B) & m2_relset_1(E,A,B) & v1_funct_1(E) -> (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(A,C,D,k7_funct_2(A,B,k5_finsub_1(C),E,F)) = k10_setwiseo(B,C,k8_setwiseo(A,B,E,D),F))))))))))) # label(t63_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.35	2820 (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_1(E) & v1_funct_2(E,B,A) & m2_relset_1(E,B,A) -> (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].
11.67/11.35	2821 (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].
11.67/11.35	2822 (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) -> (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].
11.67/11.35	2823 (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 (m1_subset_1(D,k5_finsub_1(B)) -> (all E (v1_funct_1(E) & v1_funct_2(E,B,A) & m2_relset_1(E,B,A) -> (v2_binop_1(C,A) & v1_setwiseo(C,A) & v1_binop_1(C,A) & v3_binop_1(C,A) -> (all F (m1_subset_1(F,B) -> k2_binop_1(A,A,A,C,k7_setwiseo(B,A,C,D,E),k8_funct_2(B,A,E,F)) = k7_setwiseo(B,A,C,k5_setwiseo(B,D,k2_setwiseo(B,F)),E)))))))))))))) # label(t41_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.35	2824 (all A (-v1_xboole_0(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) -> ((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].
11.67/11.37	2825 (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) -> (v1_binop_1(C,A) & v1_setwiseo(C,A) & v2_binop_1(C,A) -> (all D (v1_funct_1(D) & v1_funct_2(D,B,A) & m2_relset_1(D,B,A) -> k3_binop_1(A,C) = k7_setwiseo(B,A,C,k1_setwiseo(B),D)))))))))) # label(t40_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2826 (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(k5_setwiseo(A,B,C),k5_finsub_1(A)))) # label(dt_k5_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2827 $T # label(t10_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2828 (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].
11.67/11.37	2829 (all A (-v1_xboole_0(A) -> (all B all C (v1_funct_2(C,A,k5_finsub_1(B)) & m2_relset_1(C,A,k5_finsub_1(B)) & v1_funct_1(C) -> (all D (m1_subset_1(D,A) -> k10_setwiseo(A,B,k2_setwiseo(A,D),C) = k8_funct_2(A,k5_finsub_1(B),C,D))))))) # label(t56_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2830 $T # label(t7_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2831 (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 (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) -> (v2_binop_1(C,B) & v1_binop_1(C,B) & v3_binop_1(C,B) -> (all F (m1_subset_1(F,B) -> ((exists G (v1_funct_1(G) & m2_relset_1(G,k5_finsub_1(A),B) & F = k8_funct_2(k5_finsub_1(A),B,G,D) & (all H (m1_subset_1(H,B) -> (r3_binop_1(B,H,C) -> H = k1_funct_1(G,k1_xboole_0)))) & (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) -> (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))))) | k1_xboole_0 = H))) & v1_funct_2(G,k5_finsub_1(A),B))) <-> F = k7_setwiseo(A,B,C,D,E)))) | D = k1_xboole_0 & -v1_setwiseo(C,B)))))))))))) # label(t25_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2832 (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) -> (v1_binop_1(C,B) & v3_binop_1(C,B) & v1_setwiseo(C,B) & v2_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_setwiseo(E,D) & v1_binop_1(E,D) -> (all F (v1_funct_2(F,A,B) & m2_relset_1(F,A,B) & v1_funct_1(F) -> (all G (v1_funct_2(G,B,D) & m2_relset_1(G,B,D) & v1_funct_1(G) -> (k3_binop_1(D,E) = k8_funct_2(B,D,G,k3_binop_1(B,C)) & (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)))))) -> (all H (m1_subset_1(H,k5_finsub_1(A)) -> 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(t45_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2833 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(A)) -> k10_setwiseo(A,A,B,k11_setwiseo(A)) = B)))) # label(t71_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2834 (all A v3_binop_1(k9_setwiseo(A),k5_finsub_1(A))) # label(t49_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2835 (all A all B all C all D (-v1_xboole_0(A) & -v1_xboole_0(B) & m1_relset_1(C,A,B) & m1_subset_1(D,k5_finsub_1(A)) & v1_funct_2(C,A,B) & v1_funct_1(C) -> m1_subset_1(k8_setwiseo(A,B,C,D),k5_finsub_1(B)))) # label(dt_k8_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2836 (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].
11.67/11.37	2837 (all A all B all C all D (-v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(D,A) & m1_subset_1(C,A) -> m1_subset_1(k4_setwiseo(A,B,C,D),k5_finsub_1(A)))) # label(dt_k4_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2838 (all A all B all C (m1_subset_1(B,k5_finsub_1(A)) & m1_subset_1(C,k5_finsub_1(A)) -> k4_xboole_0(B,C) = k6_setwiseo(A,B,C))) # label(redefinition_k6_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2839 (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,B,A) & v1_funct_2(D,B,A) -> (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)) -> (all F (m1_subset_1(F,k5_finsub_1(B)) -> -(E != k1_xboole_0 & 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) & F != k1_xboole_0)))))))))))))) # label(t30_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2840 (all A all B all C (C = A | r2_hidden(A,B) <-> r2_hidden(A,k2_xboole_0(B,k1_tarski(C))))) # label(t6_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2841 (all A all B all C all D (-v1_xboole_0(A) & m1_subset_1(C,k5_finsub_1(A)) & m1_relset_1(D,A,k5_finsub_1(B)) & v1_funct_2(D,A,k5_finsub_1(B)) & v1_funct_1(D) -> m1_subset_1(k10_setwiseo(A,B,C,D),k5_finsub_1(B)))) # label(dt_k10_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2842 (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 (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) -> (v1_binop_1(C,B) & v3_binop_1(C,B) & v2_binop_1(C,B) -> (all F (m1_subset_1(F,B) -> (k2_funct_2(A,B,E,D) = k2_setwiseo(B,F) -> k7_setwiseo(A,B,C,D,E) = F)))))))))))))) # label(t34_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2843 (all A all B all C (m1_subset_1(B,A) & m1_subset_1(C,A) & -v1_xboole_0(A) -> k3_setwiseo(A,C,B) = k3_setwiseo(A,B,C))) # label(commutativity_k3_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2844 $T # label(t20_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2845 $T # label(t24_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2846 (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 (m2_relset_1(E,A,B) & v1_funct_2(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].
11.67/11.37	2847 (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].
11.67/11.37	2848 (all A v1_binop_1(k9_setwiseo(A),k5_finsub_1(A))) # label(t50_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2849 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C all D (v1_funct_2(D,k2_zfmisc_1(B,B),B) & m2_relset_1(D,k2_zfmisc_1(B,B),B) & v1_funct_1(D) -> (v2_binop_1(D,B) & v1_setwiseo(D,B) & v3_binop_1(D,B) & v1_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 (m2_relset_1(F,k5_finsub_1(C),B) & v1_funct_2(F,k5_finsub_1(C),B) & v1_funct_1(F) -> (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(C)) -> (all H (m1_subset_1(H,k5_finsub_1(C)) -> 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)) = k8_funct_2(k5_finsub_1(C),B,F,k5_setwiseo(C,G,H)))))) -> (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].
11.67/11.37	2850 (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 (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_1(F) & m2_relset_1(F,B,A) & v1_funct_2(F,B,A) -> (all G (m1_subset_1(G,A) -> k7_setwiseo(B,A,C,E,k8_funcop_1(A,B,D,G,F)) = k2_binop_1(A,A,A,D,G,k7_setwiseo(B,A,C,E,F)))))))))))))))))) # label(t36_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2851 $T # label(t66_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2852 $T # label(t48_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2853 (all A all B all C (v1_funct_1(C) & v1_relat_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].
11.67/11.37	2854 (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) -> (v3_binop_1(D,A) & v1_setwiseo(D,A) & v2_binop_1(D,A) & v1_binop_1(D,A) -> (all E (m1_subset_1(E,k5_finsub_1(B)) -> (all F (m2_relset_1(F,B,C) & v1_funct_2(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(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].
11.67/11.37	2855 (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].
11.67/11.37	2856 (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_1(E) & m2_relset_1(E,B,A) & v1_funct_2(E,B,A) -> (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].
11.67/11.37	2857 (all A (-v1_xboole_0(A) -> (all B all C (m1_subset_1(C,A) -> (C = B <-> r2_hidden(B,k8_funct_2(A,k5_finsub_1(A),k11_setwiseo(A),C))))))) # label(t68_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2858 (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,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].
11.67/11.37	2859 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,A) & m1_subset_1(B,A) -> k2_tarski(B,C) = k3_setwiseo(A,B,C))) # label(redefinition_k3_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2860 (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) -> (v3_binop_1(C,A) & v2_binop_1(C,A) & v1_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].
11.67/11.37	2861 (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(C,k8_funct_2(A,k5_finsub_1(A),k11_setwiseo(A),D)) & r2_hidden(B,k8_funct_2(A,k5_finsub_1(A),k11_setwiseo(A),D)) -> B = C))))))))) # label(t69_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2862 (all A all B all C (r1_tarski(k2_xboole_0(A,k1_tarski(B)),C) <-> r1_tarski(A,C) & r2_hidden(B,C))) # label(t8_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2863 (all A k1_xboole_0 = k3_binop_1(k5_finsub_1(A),k9_setwiseo(A))) # label(t55_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2864 (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 -> k1_xboole_0 = D))))))))) # label(t19_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	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(A,A),A) & m2_relset_1(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) -> (v2_binop_1(C,A) & v1_binop_1(C,A) & v3_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) -> k7_setwiseo(B,A,C,k4_setwiseo(B,E,F,G),D) = 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))))))))))))))))) # label(t28_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2866 (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) -> (v2_binop_1(C,A) & v1_setwiseo(C,A) & v1_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)) -> 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].
11.67/11.37	2867 (all A (-v1_xboole_0(A) -> (exists B (v1_finset_1(B) & -v1_xboole_0(B) & m1_subset_1(B,k5_finsub_1(A)))))) # label(rc2_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2868 (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].
11.67/11.37	2869 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,A) & m1_subset_1(B,A) -> m1_subset_1(k3_setwiseo(A,B,C),k5_finsub_1(A)))) # label(dt_k3_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2870 (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_2(D,B,A) & m2_relset_1(D,B,A) & v1_funct_1(D) -> (v2_binop_1(C,A) & v3_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)) -> (r1_tarski(E,F) -> E = k1_xboole_0 | 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].
11.67/11.37	2871 (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].
11.67/11.37	2872 $T # label(t21_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2873 (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)))))))) & p1_s4_setwiseo(k1_setwiseo(f1_s4_setwiseo)) -> (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].
11.67/11.37	2874 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].
11.67/11.37	2875 (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 (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) -> k2_binop_1(A,A,A,C,k7_setwiseo(B,A,C,D,E),k8_funct_2(B,A,E,F)) = k7_setwiseo(B,A,C,k5_setwiseo(B,D,k2_setwiseo(B,F)),E)))))))))))))) # label(t29_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2876 (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) -> (v3_binop_1(C,B) & v2_binop_1(C,B) & v1_binop_1(C,B) -> (all D (-v1_xboole_0(D) -> (all E (v1_funct_2(E,k2_zfmisc_1(D,D),D) & m2_relset_1(E,k2_zfmisc_1(D,D),D) & v1_funct_1(E) -> (v2_binop_1(E,D) & v3_binop_1(E,D) & v1_binop_1(E,D) -> (all F (v1_funct_2(F,A,B) & m2_relset_1(F,A,B) & v1_funct_1(F) -> (all G (v1_funct_1(G) & v1_funct_2(G,B,D) & m2_relset_1(G,B,D) -> ((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)) -> (k1_xboole_0 != H -> 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(t39_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2877 (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) -> (v2_binop_1(C,B) & v3_binop_1(C,B) & v1_setwiseo(C,B) & v1_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_2(E,A,B) & m2_relset_1(E,A,B) & v1_funct_1(E) -> (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,F,D) = k7_setwiseo(A,B,C,G,E))))))))))))))))) # label(t43_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2878 (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)) -> k8_funct_2(k5_finsub_1(B),k5_finsub_1(C),E,k5_setwiseo(B,F,G)) = 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)))))) -> (all F (m1_subset_1(F,k5_finsub_1(A)) -> k8_funct_2(k5_finsub_1(B),k5_finsub_1(C),E,k10_setwiseo(A,B,F,D)) = k10_setwiseo(A,C,F,k7_funct_2(A,k5_finsub_1(B),k5_finsub_1(C),D,E))))))))))) # label(t72_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2879 $T # label(t47_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2880 (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,B) = B)) # label(idempotence_k5_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2881 (all A k1_setwiseo(A) = k1_xboole_0) # label(d1_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2882 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(A)) -> -(B != k1_xboole_0 & (all C (m1_subset_1(C,A) -> -r2_hidden(C,B)))))))) # label(t18_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2883 (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)) -> k10_setwiseo(A,B,C,D) = k7_setwiseo(A,k5_finsub_1(B),k9_setwiseo(B),C,D))))))) # label(d5_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2884 $T # label(t2_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2885 (all A all B all C (m1_subset_1(C,k5_finsub_1(A)) & m1_subset_1(B,k5_finsub_1(A)) -> k5_setwiseo(A,B,C) = k2_xboole_0(B,C))) # label(redefinition_k5_setwiseo) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2886 (exists A (m2_relset_1(A,f1_s1_setwiseo,k5_finsub_1(f1_s1_setwiseo)) & (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))))))) & 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].
11.67/11.37	2887 (all A ((exists B (A = k8_funct_2(f1_s9_fraenkel,f2_s9_fraenkel,f4_s9_fraenkel,B) & p1_s9_fraenkel(B) & r2_hidden(B,f3_s9_fraenkel) & m1_subset_1(B,f1_s9_fraenkel))) <-> r2_hidden(A,a_0_16_fraenkel))) # label(fraenkel_a_0_16_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2888 (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].
11.67/11.37	2889 v1_finset_1(f3_s22_fraenkel) & v1_finset_1(f4_s22_fraenkel) -> v1_finset_1(a_0_39_fraenkel) # label(s22_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2890 (all A ((exists B (m1_subset_1(B,f1_s15_fraenkel) & p2_s15_fraenkel(B) & A = B)) <-> r2_hidden(A,a_0_28_fraenkel))) # label(fraenkel_a_0_28_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2891 (all A ((exists B exists C (m1_subset_1(B,f1_s4_fraenkel) & f3_s4_fraenkel(B,C) = A & p2_s4_fraenkel(B,C) & m1_subset_1(C,f2_s4_fraenkel))) <-> r2_hidden(A,a_0_7_fraenkel))) # label(fraenkel_a_0_7_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2892 (all A (r2_hidden(A,a_0_35_fraenkel) <-> (exists B (m1_subset_1(B,f1_s19_fraenkel) & p1_s19_fraenkel(B,f4_s19_fraenkel) & f3_s19_fraenkel(B,f4_s19_fraenkel) = A)))) # label(fraenkel_a_0_35_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2893 (all A (m1_subset_1(A,f1_s8_fraenkel) -> (all B (m1_subset_1(B,f2_s8_fraenkel) -> f3_s8_fraenkel(B,A) = f3_s8_fraenkel(A,B))))) & (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].
11.67/11.37	2894 (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].
11.67/11.37	2895 (exists A (v1_fraenkel(A) & -v1_xboole_0(A))) # label(rc1_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2896 (all A ((all B (r2_hidden(B,A) -> v1_relat_1(B) & v1_funct_1(B))) <-> v1_fraenkel(A))) # label(d1_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2897 $T # label(t1_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2898 (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_1(A) & v1_funct_2(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))))) & m2_relset_1(A,f1_s26_fraenkel,f2_s26_fraenkel))) # label(s26_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2899 (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].
11.67/11.37	2900 $T # label(t7_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2901 (all A ((exists B (m1_subset_1(B,f1_s9_fraenkel) & p2_s9_fraenkel(B) & r2_hidden(B,f3_s9_fraenkel) & k8_funct_2(f1_s9_fraenkel,f2_s9_fraenkel,f5_s9_fraenkel,B) = A)) <-> r2_hidden(A,a_0_17_fraenkel))) # label(fraenkel_a_0_17_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2902 (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 (m2_fraenkel(F,B,A,k1_fraenkel(B,A)) & E = k7_relat_1(F,C))))) | k1_funct_2(C,D) = k1_xboole_0)))) # label(t14_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2903 (all A (m1_subset_1(A,f1_s9_fraenkel) -> (r2_hidden(A,f3_s9_fraenkel) -> (p1_s9_fraenkel(A) <-> p2_s9_fraenkel(A))))) & k7_relat_1(f5_s9_fraenkel,f3_s9_fraenkel) = k7_relat_1(f4_s9_fraenkel,f3_s9_fraenkel) -> a_0_16_fraenkel = a_0_17_fraenkel # label(s9_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2904 (all A all B all C (-v1_xboole_0(B) & m1_fraenkel(C,A,B) -> (all D (m1_subset_1(D,C) <-> m2_fraenkel(D,A,B,C))))) # label(redefinition_m2_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2905 (all A (r2_hidden(A,a_0_23_fraenkel) <-> (exists B exists C (A = f4_s13_fraenkel(B,C) & p1_s13_fraenkel(B,C) & p2_s13_fraenkel(f4_s13_fraenkel(B,C)) & m1_subset_1(C,f2_s13_fraenkel) & m1_subset_1(B,f1_s13_fraenkel))))) # label(fraenkel_a_0_23_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2906 (all A (r2_hidden(A,a_0_15_fraenkel) <-> (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))))) # label(fraenkel_a_0_15_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2907 (all A (v1_fraenkel(A) -> (all B (r1_tarski(B,A) -> v1_fraenkel(B))))) # label(t17_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2908 (all A (m1_subset_1(A,f1_s19_fraenkel) -> (all B (m1_subset_1(B,f2_s19_fraenkel) -> (p2_s19_fraenkel(A,B) <-> B = f4_s19_fraenkel & p1_s19_fraenkel(A,B)))))) -> a_0_34_fraenkel = a_0_35_fraenkel # label(s19_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2909 (all A (r2_hidden(A,a_0_24_fraenkel) <-> (exists B (f2_s14_fraenkel(B) = A & p1_s14_fraenkel(B) & r2_hidden(B,a_0_25_fraenkel) & m1_subset_1(B,f1_s14_fraenkel))))) # label(fraenkel_a_0_24_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2910 (all A ((exists B exists C (m1_subset_1(B,f1_s16_fraenkel) & f3_s16_fraenkel(B,C) = A & p1_s16_fraenkel(B,C) & m1_subset_1(C,f2_s16_fraenkel))) <-> r2_hidden(A,a_0_30_fraenkel))) # label(fraenkel_a_0_30_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2911 (all A all B (v1_finset_1(B) & v1_finset_1(A) -> v1_finset_1(k1_funct_2(A,B)) & v1_fraenkel(k1_funct_2(A,B)))) # label(fc2_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2912 (all A ((exists B exists C (p1_s20_fraenkel(B,C) & f4_s20_fraenkel = C & f3_s20_fraenkel(B,C) = A & m1_subset_1(C,f2_s20_fraenkel) & 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].
11.67/11.37	2913 (all A all B (-v1_xboole_0(B) -> k1_funct_2(A,B) = k1_fraenkel(A,B))) # label(redefinition_k1_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2914 (all A ((exists B (m1_subset_1(B,f1_s6_fraenkel) & f2_s6_fraenkel(B) = A & p1_s6_fraenkel(B))) <-> r2_hidden(A,a_0_10_fraenkel))) # label(fraenkel_a_0_10_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2915 (all A (r2_hidden(A,a_0_19_fraenkel) <-> (exists B exists C (m1_subset_1(C,f2_s11_fraenkel) & f3_s11_fraenkel(B,C) = A & p1_s11_fraenkel(B,C) & m1_subset_1(B,f1_s11_fraenkel))))) # label(fraenkel_a_0_19_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2916 (all A ((exists B (m1_subset_1(B,f1_s1_fraenkel) & f2_s1_fraenkel(B) = A & p2_s1_fraenkel(B))) <-> r2_hidden(A,a_0_1_fraenkel))) # label(fraenkel_a_0_1_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2917 (all A all B all C (-v1_xboole_0(C) & v1_fraenkel(C) -> ((all D (m1_subset_1(D,C) -> m2_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D))) <-> m1_fraenkel(C,A,B)))) # label(d2_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2918 (all A ((exists B (m1_subset_1(B,f1_s17_fraenkel) & f3_s17_fraenkel(B) = A & p1_s17_fraenkel(B) & r2_hidden(f3_s17_fraenkel(B),f2_s17_fraenkel))) <-> r2_hidden(A,a_0_32_fraenkel))) # label(fraenkel_a_0_32_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2919 (all A (r2_hidden(A,a_0_29_fraenkel) <-> (exists B exists C (m1_subset_1(B,f1_s15_fraenkel) & f3_s15_fraenkel(B,C) = A & p1_s15_fraenkel(B,C) & p2_s15_fraenkel(B) & m1_subset_1(C,f2_s15_fraenkel))))) # label(fraenkel_a_0_29_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2920 (all A ((exists B exists C (m1_subset_1(B,f1_s16_fraenkel) & m1_subset_1(C,f2_s16_fraenkel) & p2_s16_fraenkel(B,C) & A = f3_s16_fraenkel(B,C))) <-> r2_hidden(A,a_0_31_fraenkel))) # label(fraenkel_a_0_31_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2921 (all A ((exists B (m1_subset_1(B,f3_s13_fraenkel) & p2_s13_fraenkel(B) & r2_hidden(B,a_0_22_fraenkel) & B = A)) <-> r2_hidden(A,a_0_21_fraenkel))) # label(fraenkel_a_0_21_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2922 (all A (v1_fraenkel(A) -> (all B (m1_subset_1(B,A) -> v1_relat_1(B) & v1_funct_1(B))))) # label(cc1_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2923 (all A ((exists B (m1_subset_1(B,f1_s18_fraenkel) & f3_s18_fraenkel(B) = A & -r2_hidden(f3_s18_fraenkel(B),f2_s18_fraenkel) & p1_s18_fraenkel(B))) <-> r2_hidden(A,a_0_33_fraenkel))) # label(fraenkel_a_0_33_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2924 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(A,f3_s25_fraenkel) = k7_relat_1(B,f3_s25_fraenkel) -> f5_s25_fraenkel(B) = f5_s25_fraenkel(A)))))) -> v1_finset_1(a_0_40_fraenkel) # label(s25_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2925 (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)) -> v1_funct_1(E) & m2_relset_1(E,B,A))) | k1_xboole_0 = k1_funct_2(C,D))))) # label(t6_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2926 (all A all B all C (m1_fraenkel(C,A,B) & -v1_xboole_0(B) -> (all D (m2_fraenkel(D,A,B,C) -> m2_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D))))) # label(dt_m2_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2927 (all A (m1_subset_1(A,f1_s16_fraenkel) -> (all B (m1_subset_1(B,f2_s16_fraenkel) -> -(p1_s16_fraenkel(A,B) & (all C (m1_subset_1(C,f1_s16_fraenkel) -> -(f3_s16_fraenkel(A,B) = f3_s16_fraenkel(C,B) & p2_s16_fraenkel(C,B))))))))) -> r1_tarski(a_0_30_fraenkel,a_0_31_fraenkel) # label(s16_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2928 (all A (r2_hidden(A,a_0_3_fraenkel) <-> (exists B exists C (m1_subset_1(C,f2_s2_fraenkel) & A = f3_s2_fraenkel(B,C) & p2_s2_fraenkel(B,C) & m1_subset_1(B,f1_s2_fraenkel))))) # label(fraenkel_a_0_3_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2929 (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].
11.67/11.37	2930 (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].
11.67/11.37	2931 (all A all B all C (v1_funct_2(C,A,B) & m2_relset_1(C,A,B) & v1_funct_1(C) -> m1_fraenkel(k2_setwiseo(k1_zfmisc_1(k2_zfmisc_1(A,B)),C),A,B))) # label(t10_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2932 (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) -> (all D (v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D) -> (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,D,F) = k8_funct_2(A,B,C,F)))))))))))))) # label(t3_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2933 v1_finset_1(f2_s21_fraenkel) -> v1_finset_1(a_0_38_fraenkel) # label(s21_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2934 (all A ((exists B (A = B & p2_s14_fraenkel(B) & m1_subset_1(B,f1_s14_fraenkel))) <-> r2_hidden(A,a_0_25_fraenkel))) # label(fraenkel_a_0_25_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2935 $T # label(t2_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2936 (all A ((exists B exists C (m1_subset_1(B,f1_s22_fraenkel) & m1_subset_1(C,f2_s22_fraenkel) & r2_hidden(B,f3_s22_fraenkel) & r2_hidden(C,f4_s22_fraenkel) & f5_s22_fraenkel(B,C) = A)) <-> r2_hidden(A,a_0_39_fraenkel))) # label(fraenkel_a_0_39_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2937 (exists A ((all B (m1_subset_1(B,f1_s24_fraenkel) -> ((exists C (r2_hidden(C,f3_s24_fraenkel) & p1_s24_fraenkel(B,C) & f4_s24_fraenkel(C) = B & m1_subset_1(C,f2_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].
11.67/11.37	2938 (all A (m1_subset_1(A,f1_s5_fraenkel) -> f2_s5_fraenkel(A) = f3_s5_fraenkel(A))) -> a_0_8_fraenkel = a_0_9_fraenkel # label(s5_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2939 (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].
11.67/11.37	2940 (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,k3_xboole_0(B,C)) = k7_relat_1(D,C))))) # label(t15_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2941 (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].
11.67/11.37	2942 (all A (m1_subset_1(A,f1_s27_fraenkel) -> -(r2_hidden(A,f3_s27_fraenkel) & (all B (m1_subset_1(B,f2_s27_fraenkel) -> -p1_s27_fraenkel(A,B)))))) -> (exists A ((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))))) & m2_fraenkel(A,f1_s27_fraenkel,f2_s27_fraenkel,k1_fraenkel(f1_s27_fraenkel,f2_s27_fraenkel)))) # label(s27_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2943 (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].
11.67/11.37	2944 (all A ((exists B (A = f2_s14_fraenkel(B) & p2_s14_fraenkel(B) & p1_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].
11.67/11.37	2945 (all A all B all C (-v1_xboole_0(B) & m1_fraenkel(C,A,B) -> (exists D m2_fraenkel(D,A,B,C)))) # label(existence_m2_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2946 (all A ((exists B exists C (m1_subset_1(C,f2_s13_fraenkel) & p1_s13_fraenkel(B,C) & f4_s13_fraenkel(B,C) = A & m1_subset_1(B,f1_s13_fraenkel))) <-> r2_hidden(A,a_0_22_fraenkel))) # label(fraenkel_a_0_22_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2947 (all A (r2_hidden(A,a_0_0_fraenkel) <-> (exists B (p1_s1_fraenkel(B) & A = f2_s1_fraenkel(B) & m1_subset_1(B,f1_s1_fraenkel))))) # label(fraenkel_a_0_0_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2948 (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].
11.67/11.37	2949 (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) & A = f3_s8_fraenkel(B,C) & p1_s8_fraenkel(B,C))))) # label(fraenkel_a_0_14_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.37	2950 (all A all B v1_fraenkel(k1_funct_2(A,B))) # label(fc1_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2951 (all A (r2_hidden(A,a_0_18_fraenkel) <-> (exists B (A = B & p1_s10_fraenkel(B) & m1_subset_1(B,f1_s10_fraenkel))))) # label(fraenkel_a_0_18_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2952 (all A (r2_hidden(A,a_0_5_fraenkel) <-> (exists B (m1_subset_1(B,f1_s3_fraenkel) & A = f2_s3_fraenkel(B) & p2_s3_fraenkel(B))))) # label(fraenkel_a_0_5_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2953 (all A (m1_subset_1(A,f1_s6_fraenkel) -> (p1_s6_fraenkel(A) -> f2_s6_fraenkel(A) = f3_s6_fraenkel(A)))) -> a_0_10_fraenkel = a_0_11_fraenkel # label(s6_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2954 (all A ((exists B exists C (m1_subset_1(B,f1_s7_fraenkel) & p1_s7_fraenkel(B,C) & f3_s7_fraenkel(B,C) = A & m1_subset_1(C,f2_s7_fraenkel))) <-> r2_hidden(A,a_0_12_fraenkel))) # label(fraenkel_a_0_12_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2955 (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].
11.67/11.38	2956 (all A ((exists B (m1_subset_1(B,f1_s6_fraenkel) & f3_s6_fraenkel(B) = A & p1_s6_fraenkel(B))) <-> r2_hidden(A,a_0_11_fraenkel))) # label(fraenkel_a_0_11_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2957 (all A (m1_subset_1(A,f1_s7_fraenkel) -> (all B (m1_subset_1(B,f2_s7_fraenkel) -> f4_s7_fraenkel(A,B) = f3_s7_fraenkel(A,B))))) -> a_0_13_fraenkel = a_0_12_fraenkel # label(s7_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2958 (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) -> -(r2_hidden(B,f2_s23_fraenkel) & (all C (m1_subset_1(C,f1_s23_fraenkel) -> (p1_s23_fraenkel(C,B) & r2_hidden(C,f2_s23_fraenkel) -> p1_s23_fraenkel(B,C)))) & p1_s23_fraenkel(B,A))))))) # label(s23_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2959 (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].
11.67/11.38	2960 (all A all B exists C m1_fraenkel(C,A,B)) # label(existence_m1_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2961 (all A ((exists B (A = f3_s21_fraenkel(B) & r2_hidden(B,f2_s21_fraenkel) & m1_subset_1(B,f1_s21_fraenkel))) <-> r2_hidden(A,a_0_38_fraenkel))) # label(fraenkel_a_0_38_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2962 (all A ((exists B exists C (m1_subset_1(C,f2_s15_fraenkel) & f3_s15_fraenkel(B,C) = A & p1_s15_fraenkel(B,C) & r2_hidden(B,a_0_28_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].
11.67/11.38	2963 (all A (m1_subset_1(A,f1_s4_fraenkel) -> (all B (m1_subset_1(B,f2_s4_fraenkel) -> (p2_s4_fraenkel(A,B) <-> p1_s4_fraenkel(A,B)))))) -> a_0_6_fraenkel = a_0_7_fraenkel # label(s4_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2964 (all A (v1_relat_1(A) & v1_funct_1(A) -> v1_fraenkel(k1_tarski(A)))) # label(t8_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2965 (all A (r2_hidden(A,a_0_37_fraenkel) <-> (exists B (m1_subset_1(B,f1_s20_fraenkel) & A = f3_s20_fraenkel(B,f4_s20_fraenkel) & p1_s20_fraenkel(B,f4_s20_fraenkel))))) # label(fraenkel_a_0_37_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2966 $T # label(t9_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2967 (all A (r2_hidden(A,a_0_6_fraenkel) <-> (exists B exists C (p1_s4_fraenkel(B,C) & A = f3_s4_fraenkel(B,C) & m1_subset_1(C,f2_s4_fraenkel) & m1_subset_1(B,f1_s4_fraenkel))))) # label(fraenkel_a_0_6_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2968 (all A (m1_subset_1(A,f1_s3_fraenkel) -> (p1_s3_fraenkel(A) <-> p2_s3_fraenkel(A)))) -> a_0_5_fraenkel = a_0_4_fraenkel # label(s3_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2969 (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].
11.67/11.38	2970 $T # label(t13_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2971 $T # label(t12_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2972 $T # label(t4_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2973 (all A (r2_hidden(A,a_0_9_fraenkel) <-> (exists B (p1_s5_fraenkel(B) & A = f3_s5_fraenkel(B) & m1_subset_1(B,f1_s5_fraenkel))))) # label(fraenkel_a_0_9_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2974 (all A (r2_hidden(A,a_0_20_fraenkel) <-> (exists B exists C (A = f3_s12_fraenkel(B,C) & p1_s12_fraenkel(B,C) & m1_subset_1(C,f2_s12_fraenkel) & m1_subset_1(B,f1_s12_fraenkel))))) # label(fraenkel_a_0_20_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2975 (all A (r2_hidden(A,a_0_4_fraenkel) <-> (exists B (f2_s3_fraenkel(B) = A & p1_s3_fraenkel(B) & m1_subset_1(B,f1_s3_fraenkel))))) # label(fraenkel_a_0_4_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2976 (all A (r2_hidden(A,a_0_13_fraenkel) <-> (exists B exists C (m1_subset_1(B,f1_s7_fraenkel) & m1_subset_1(C,f2_s7_fraenkel) & p1_s7_fraenkel(B,C) & f4_s7_fraenkel(B,C) = A)))) # label(fraenkel_a_0_13_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2977 (all A (r2_hidden(A,a_0_34_fraenkel) <-> (exists B exists C (A = f3_s19_fraenkel(B,C) & p2_s19_fraenkel(B,C) & m1_subset_1(C,f2_s19_fraenkel) & m1_subset_1(B,f1_s19_fraenkel))))) # label(fraenkel_a_0_34_fraenkel) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2978 $T # label(dt_k4_numbers) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2979 $T # label(dt_k1_numbers) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2980 (all A ((exists B (np__0 = k1_funct_1(B,k13_arytm_3) & B = A & m1_subset_1(B,k1_funct_2(k2_tarski(np__0,k13_arytm_3),k1_numbers)))) <-> r2_hidden(A,a_0_0_numbers))) # label(fraenkel_a_0_0_numbers) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2981 $T # label(dt_k2_numbers) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2982 $T # label(dt_k3_numbers) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2983 (exists A (-v1_xboole_0(A) & v1_xcmplx_0(A) & v1_xreal_0(A) & -v3_xreal_0(A) & v2_xreal_0(A))) # label(rc2_xreal_0) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2984 (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].
11.67/11.38	2985 (all A all B (v1_xreal_0(A) & -v2_xreal_0(B) & v1_xreal_0(B) & -v3_xreal_0(A) -> -v2_xreal_0(k7_xcmplx_0(A,B)) & v1_xreal_0(k7_xcmplx_0(A,B)) & v1_xcmplx_0(k7_xcmplx_0(A,B)))) # label(fc27_xreal_0) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2986 (all A all B (v1_xreal_0(A) & -v2_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)) & -v3_xreal_0(k3_xcmplx_0(A,B)))) # label(fc23_xreal_0) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2987 (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].
11.67/11.38	2988 (all A all B (v3_xreal_0(A) & v1_xreal_0(B) & -v2_xreal_0(B) & v1_xreal_0(A) -> -v1_xboole_0(k2_xcmplx_0(A,B)) & v1_xreal_0(k2_xcmplx_0(A,B)) & -v2_xreal_0(k2_xcmplx_0(A,B)) & v3_xreal_0(k2_xcmplx_0(A,B)) & v1_xcmplx_0(k2_xcmplx_0(A,B)))) # label(fc11_xreal_0) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2989 (all A all B (v1_xreal_0(A) & v1_xreal_0(B) & -v3_xreal_0(B) & -v2_xreal_0(A) -> v1_xreal_0(k3_xcmplx_0(A,B)) & -v2_xreal_0(k3_xcmplx_0(A,B)) & v1_xcmplx_0(k3_xcmplx_0(A,B)))) # label(fc21_xreal_0) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2990 (all A all B (v1_xreal_0(A) & v1_xreal_0(B) -> v1_xreal_0(k7_xcmplx_0(A,B)) & v1_xcmplx_0(k7_xcmplx_0(A,B)))) # label(fc6_xreal_0) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2991 (all A (v1_xreal_0(A) -> v1_xcmplx_0(k5_xcmplx_0(A)) & v1_xreal_0(k5_xcmplx_0(A)))) # label(fc2_xreal_0) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2992 (all A (v4_ordinal2(A) -> v1_xreal_0(A))) # label(cc1_xreal_0) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2993 (all A (-v3_xreal_0(A) & -v2_xreal_0(A) & v1_xreal_0(A) -> v1_xboole_0(A) & v1_xcmplx_0(A) & v1_xreal_0(A))) # label(cc8_xreal_0) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2994 (all A (v2_xreal_0(A) & v1_xreal_0(A) -> -v1_xboole_0(A) & v1_xreal_0(A) & -v3_xreal_0(A) & v1_xcmplx_0(A))) # label(cc3_xreal_0) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2995 (all A all B (v1_xreal_0(B) & -v2_xreal_0(B) & v2_xreal_0(A) & v1_xreal_0(A) -> -v1_xboole_0(k6_xcmplx_0(B,A)) & v3_xreal_0(k6_xcmplx_0(B,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(fc18_xreal_0) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2996 (all A all B (v1_xreal_0(A) & -v3_xreal_0(A) & v1_xreal_0(B) & -v3_xreal_0(B) -> v1_xcmplx_0(k7_xcmplx_0(A,B)) & v1_xreal_0(k7_xcmplx_0(A,B)) & -v3_xreal_0(k7_xcmplx_0(A,B)))) # label(fc29_xreal_0) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2997 (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].
11.67/11.38	2998 (exists A (v1_xreal_0(A) & -v2_xreal_0(A) & -v3_xreal_0(A) & v1_xcmplx_0(A) & v1_xboole_0(A))) # label(rc4_xreal_0) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	2999 (all A all B (v1_xreal_0(A) & v2_xreal_0(A) & -v3_xreal_0(B) & v1_xreal_0(B) -> v1_xreal_0(k2_xcmplx_0(A,B)) & v2_xreal_0(k2_xcmplx_0(A,B)) & -v3_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].
11.67/11.38	3000 (all A all B (v1_xreal_0(A) & v1_xreal_0(B) & -v3_xreal_0(B) & -v3_xreal_0(A) -> v1_xcmplx_0(k3_xcmplx_0(A,B)) & v1_xreal_0(k3_xcmplx_0(A,B)) & -v3_xreal_0(k3_xcmplx_0(A,B)))) # label(fc24_xreal_0) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3001 (all A all B (-v2_xreal_0(A) & -v3_xreal_0(B) & v1_xreal_0(B) & v1_xreal_0(A) -> -v2_xreal_0(k3_xcmplx_0(B,A)) & v1_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].
11.67/11.38	3002 (all A (v3_xreal_0(A) & v1_xreal_0(A) -> v1_xcmplx_0(A) & v1_xreal_0(A) & -v2_xreal_0(A) & -v1_xboole_0(A))) # label(cc5_xreal_0) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3003 (all A all B (v1_xreal_0(A) & -v3_xreal_0(A) & v1_xreal_0(B) & -v2_xreal_0(B) -> v1_xreal_0(k6_xcmplx_0(B,A)) & -v2_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].
11.67/11.38	3004 (all A (v1_xreal_0(A) & -v3_xreal_0(A) & -v1_xboole_0(A) -> v1_xcmplx_0(A) & v2_xreal_0(A) & v1_xreal_0(A))) # label(cc4_xreal_0) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3005 (all A all B (v1_xreal_0(B) & -v3_xreal_0(B) & v3_xreal_0(A) & v1_xreal_0(A) -> -v1_xboole_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_xcmplx_0(k6_xcmplx_0(B,A)))) # label(fc20_xreal_0) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3006 (all A (r2_hidden(A,k1_numbers) <-> v1_xreal_0(A))) # label(d1_xreal_0) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3007 (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(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(fc19_xreal_0) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3008 (all A (v1_xreal_0(A) & -v2_xreal_0(A) & -v1_xboole_0(A) -> v1_xcmplx_0(A) & v1_xreal_0(A) & v3_xreal_0(A))) # label(cc6_xreal_0) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3009 (all A all B (v1_xreal_0(A) & v1_xreal_0(B) -> r1_xreal_0(B,A) | r1_xreal_0(A,B))) # label(connectedness_r1_xreal_0) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3010 (all A all B (v1_xreal_0(A) & -v2_xreal_0(B) & v1_xreal_0(B) & -v3_xreal_0(A) -> v1_xreal_0(k6_xcmplx_0(A,B)) & -v3_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].
11.67/11.38	3011 (all A all B (v2_xreal_0(A) & -v3_xreal_0(B) & v1_xreal_0(B) & v1_xreal_0(A) -> -v1_xboole_0(k2_xcmplx_0(B,A)) & v1_xreal_0(k2_xcmplx_0(B,A)) & -v3_xreal_0(k2_xcmplx_0(B,A)) & v2_xreal_0(k2_xcmplx_0(B,A)) & v1_xcmplx_0(k2_xcmplx_0(B,A)))) # label(fc10_xreal_0) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3012 (all A all B (v1_xreal_0(A) & v1_xreal_0(B) & -v2_xreal_0(B) & v2_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(fc17_xreal_0) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3013 (all A (-v3_xreal_0(A) & v1_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].
11.67/11.38	3014 (all A (-v2_xreal_0(A) & v1_xreal_0(A) -> v1_xreal_0(k4_xcmplx_0(A)) & -v3_xreal_0(k4_xcmplx_0(A)) & v1_xcmplx_0(k4_xcmplx_0(A)))) # label(fc13_xreal_0) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3015 (all A all B (v1_xreal_0(B) & v1_xreal_0(A) -> 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].
11.67/11.38	3016 (all A (-v3_xreal_0(A) & v1_xreal_0(A) -> v1_xcmplx_0(k4_xcmplx_0(A)) & -v2_xreal_0(k4_xcmplx_0(A)) & v1_xreal_0(k4_xcmplx_0(A)))) # label(fc14_xreal_0) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3017 (all A (v1_xreal_0(A) -> (all B (v1_xreal_0(B) -> (r2_hidden(A,k2_arytm_2) & r2_hidden(B,k2_arytm_2) -> (r1_xreal_0(A,B) <-> (exists C ((exists D (m1_subset_1(D,k2_arytm_2) & A = C & r1_arytm_2(C,D) & D = B)) & m1_subset_1(C,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)) -> ((exists C (m1_subset_1(C,k2_arytm_2) & (exists D (m1_subset_1(D,k2_arytm_2) & r1_arytm_2(D,C) & B = k4_tarski(np__0,D) & A = k4_tarski(np__0,C))))) <-> r1_xreal_0(A,B))) & -(-(r2_hidden(B,k2_arytm_2) & r2_hidden(A,k2_arytm_2)) & -(r2_hidden(A,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2)) & r2_hidden(B,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))))))) # label(d2_xreal_0) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3018 (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].
11.67/11.38	3019 (exists A (v1_xreal_0(A) & v1_xcmplx_0(A))) # label(rc1_xreal_0) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3020 (all A all B (-v2_xreal_0(B) & v1_xreal_0(B) & -v3_xreal_0(A) & v1_xreal_0(A) -> v1_xcmplx_0(k7_xcmplx_0(B,A)) & -v2_xreal_0(k7_xcmplx_0(B,A)) & v1_xreal_0(k7_xcmplx_0(B,A)))) # label(fc28_xreal_0) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3021 (all A (v1_xreal_0(A) -> v1_xcmplx_0(A))) # label(cc2_xreal_0) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3022 (all A all B (v3_xreal_0(A) & -v2_xreal_0(B) & v1_xreal_0(B) & v1_xreal_0(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)) & 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].
11.67/11.38	3023 (all A all B (v1_xreal_0(A) & v1_xreal_0(B) -> v1_xcmplx_0(k2_xcmplx_0(A,B)) & v1_xreal_0(k2_xcmplx_0(A,B)))) # label(fc3_xreal_0) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3024 (all A all B (v1_xreal_0(B) & -v2_xreal_0(B) & -v2_xreal_0(A) & v1_xreal_0(A) -> v1_xreal_0(k2_xcmplx_0(A,B)) & -v2_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].
11.67/11.38	3025 (all A all B (-v3_xreal_0(A) & -v3_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)))) # label(fc7_xreal_0) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3026 (all A (v1_xreal_0(A) & v1_xboole_0(A) -> -v3_xreal_0(A) & -v2_xreal_0(A) & v1_xreal_0(A) & v1_xcmplx_0(A))) # label(cc7_xreal_0) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3027 (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].
11.67/11.38	3028 (all A all B (v1_xreal_0(A) & -v2_xreal_0(B) & v1_xreal_0(B) & -v2_xreal_0(A) -> v1_xcmplx_0(k7_xcmplx_0(A,B)) & v1_xreal_0(k7_xcmplx_0(A,B)) & -v3_xreal_0(k7_xcmplx_0(A,B)))) # label(fc30_xreal_0) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3029 (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].
11.67/11.38	3030 (all A all B (v1_xreal_0(A) & v1_xreal_0(B) -> 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].
11.67/11.38	3031 $T # label(t29_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3032 (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].
11.67/11.38	3033 $T # label(t11_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3034 $T # label(t26_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3035 (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].
11.67/11.38	3036 (all A all B (v1_int_1(A) & v1_int_1(B) -> v1_int_1(k5_int_1(A,B)))) # label(dt_k5_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3037 (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].
11.67/11.38	3038 (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].
11.67/11.38	3039 (all A (v1_xreal_0(A) -> r1_xreal_0(np__0,k4_int_1(A)) & -r1_xreal_0(np__1,k4_int_1(A)))) # label(t69_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3040 (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].
11.67/11.38	3041 (all A (v1_xreal_0(A) -> v1_xreal_0(k3_int_1(A)) & v1_xcmplx_0(k3_int_1(A)))) # label(fc10_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3042 (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].
11.67/11.38	3043 $T # label(t31_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3044 $T # label(t12_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3045 (all A all B (v1_int_1(B) & m1_subset_1(A,k5_numbers) -> v1_xcmplx_0(k3_xcmplx_0(B,A)) & v1_xreal_0(k3_xcmplx_0(B,A)) & v1_int_1(k3_xcmplx_0(B,A)))) # label(fc7_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3046 (all A (v1_int_1(A) -> v1_xreal_0(A) & v1_xcmplx_0(A))) # label(cc4_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3047 $T # label(t46_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3048 $T # label(t1_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3049 (all A (v1_int_1(A) <-> r2_hidden(A,k4_numbers))) # label(d2_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3050 (all A (v1_int_1(A) -> r1_int_1(np__0,A,A) & r1_int_1(A,np__0,A))) # label(t33_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3051 (all A (v1_xreal_0(A) -> (all B (v4_ordinal2(B) -> (B = A | A = k4_xcmplx_0(B) -> v1_int_1(A)))))) # label(t7_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3052 (all A (v1_xreal_0(A) -> -(v1_int_1(A) & -r1_xreal_0(A,k1_int_1(A))) & -(r1_xreal_0(A,k1_int_1(A)) & -v1_int_1(A)))) # label(t48_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3053 $T # label(dt_k3_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3054 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (B != np__0 -> k6_int_1(A,B) = k6_xcmplx_0(A,k3_xcmplx_0(k5_int_1(A,B),B))) & (np__0 = B -> np__0 = k6_int_1(A,B)))))) # label(d8_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3055 (all A (v1_xreal_0(A) -> (k2_int_1(A) = k1_int_1(A) <-> v1_int_1(A)))) # label(t59_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3056 (all A (v1_int_1(A) -> v1_xreal_0(k4_xcmplx_0(A)) & v1_int_1(k4_xcmplx_0(A)) & v1_xcmplx_0(k4_xcmplx_0(A)))) # label(fc3_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3057 (all A (v1_xreal_0(A) -> -(v1_int_1(A) & -r1_xreal_0(k2_int_1(A),A)) & -(-v1_int_1(A) & r1_xreal_0(k2_int_1(A),A)))) # label(t55_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3058 (all A (v1_xreal_0(A) -> k3_int_1(A) = k4_int_1(A))) # label(redefinition_k4_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3059 (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].
11.67/11.38	3060 (all A all B (v1_int_1(B) & m1_subset_1(A,k5_numbers) -> v1_xreal_0(k6_xcmplx_0(B,A)) & v1_int_1(k6_xcmplx_0(B,A)) & v1_xcmplx_0(k6_xcmplx_0(B,A)))) # label(fc8_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3061 (all A (v1_xreal_0(A) -> v1_int_1(k2_int_1(A)))) # label(dt_k2_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3062 (all A (m1_subset_1(A,k4_numbers) -> v1_int_1(A))) # label(cc1_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3063 (all A (v1_xreal_0(A) -> (all B (v1_int_1(B) -> (k2_int_1(A) = B <-> r1_xreal_0(A,B) & -r1_xreal_0(k2_xcmplx_0(A,np__1),B)))))) # label(d5_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3064 (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].
11.67/11.38	3065 $T # label(t5_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3066 (all A (v1_xreal_0(A) -> k1_int_1(A) = k1_int_1(k1_int_1(A)))) # label(t63_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3067 (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].
11.67/11.38	3068 (all A all B (v1_int_1(B) & v1_int_1(A) -> r2_int_1(A,A))) # label(reflexivity_r2_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3069 (all A (m1_subset_1(A,k5_numbers) -> v1_ordinal1(A) & v3_ordinal1(A) & v1_xcmplx_0(A) & -v3_xreal_0(A) & v1_int_1(A) & v1_xreal_0(A) & v4_ordinal2(A) & v2_ordinal1(A))) # label(cc2_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3070 (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].
11.67/11.38	3071 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_int_1(B) -> (all C (v1_int_1(C) -> (C = k2_xcmplx_0(B,A) -> r1_xreal_0(B,C)))))))) # label(t19_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3072 (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(k2_xcmplx_0(A,C),B,C)))))))) # label(t42_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3073 (all A all B (v1_int_1(A) & v1_int_1(B) -> v1_xreal_0(k2_xcmplx_0(A,B)) & v1_int_1(k2_xcmplx_0(A,B)) & v1_xcmplx_0(k2_xcmplx_0(A,B)))) # label(fc1_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3074 (all A (v1_xreal_0(A) -> k2_int_1(k1_int_1(A)) = k1_int_1(A))) # label(t65_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3075 $T # label(t3_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3076 (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].
11.67/11.38	3077 $T # label(t4_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3078 (exists A v1_int_1(A)) # label(rc2_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3079 (all A (v1_xreal_0(A) -> (v1_int_1(A) -> v1_int_1(k6_xcmplx_0(A,np__1)) & v1_int_1(k2_xcmplx_0(A,np__1))))) # label(t17_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3080 (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].
11.67/11.38	3081 (all A (v1_xreal_0(A) -> (r1_xreal_0(np__0,A) -> r1_xreal_0(np__0,k1_int_1(A)) & m2_subset_1(k1_int_1(A),k1_numbers,k5_numbers) & m2_subset_1(k2_int_1(A),k1_numbers,k5_numbers) & r1_xreal_0(np__0,k2_int_1(A))))) # label(t80_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3082 (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].
11.67/11.38	3083 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (all C (v1_int_1(C) -> ((exists D (v1_int_1(D) & k6_xcmplx_0(A,B) = k3_xcmplx_0(C,D))) <-> r1_int_1(A,B,C)))))))) # label(d3_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3084 (all A all B (v1_int_1(A) & v1_int_1(B) -> v1_int_1(k6_int_1(A,B)))) # label(dt_k6_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3085 $T # label(t15_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3086 (all A all B (v1_int_1(B) & v1_int_1(A) -> v1_int_1(k3_xcmplx_0(A,B)) & v1_xreal_0(k3_xcmplx_0(A,B)) & v1_xcmplx_0(k3_xcmplx_0(A,B)))) # label(fc2_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3087 (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].
11.67/11.38	3088 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (k3_xcmplx_0(A,B) = k1_real_1(np__1) <-> k1_real_1(np__1) = B & np__1 = A | B = np__1 & A = k1_real_1(np__1)))))) # label(t23_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3089 (all A (v1_xreal_0(A) -> -((all B (m2_subset_1(B,k1_numbers,k5_numbers) -> A != B & k1_real_1(B) != A)) & v1_int_1(A)))) # label(t8_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3090 $T # label(t53_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3091 (all A all B (v1_int_1(B) & v1_int_1(A) -> v1_int_1(k6_xcmplx_0(A,B)) & v1_xreal_0(k6_xcmplx_0(A,B)) & v1_xcmplx_0(k6_xcmplx_0(A,B)))) # label(fc4_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3092 (all A (v1_xreal_0(A) -> (A != np__0 -> k1_int_1(k7_xcmplx_0(A,A)) = np__1))) # label(t74_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3093 $T # label(t13_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3094 (all A (v1_xreal_0(A) -> (all B (v1_int_1(B) -> (all C (v1_int_1(C) -> (r1_xreal_0(A,C) & r1_xreal_0(A,B) -> r1_xreal_0(k2_xcmplx_0(A,np__1),B) | C = B | r1_xreal_0(k2_xcmplx_0(A,np__1),C)))))))) # label(t45_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3095 $T # label(t9_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3096 $T # label(t49_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3097 (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].
11.67/11.38	3098 (all A (v1_xreal_0(A) -> -(-v1_int_1(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))))) # label(t60_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3099 $T # label(t6_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3100 (all A (v4_ordinal2(A) -> v1_int_1(A))) # label(cc3_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3101 (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].
11.67/11.38	3102 (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].
11.67/11.38	3103 $T # label(t25_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3104 (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].
11.67/11.38	3105 (all A (v1_xreal_0(A) -> (v1_int_1(A) <-> k1_int_1(A) = A))) # label(t47_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3106 (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].
11.67/11.38	3107 (all A all B (m1_subset_1(B,k5_numbers) & m1_subset_1(A,k5_numbers) -> 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(fc9_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3108 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (k3_xcmplx_0(A,B) = np__1 <-> A = k1_real_1(np__1) & B = k1_real_1(np__1) | np__1 = A & B = np__1))))) # label(t22_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3109 (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].
11.67/11.38	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].
11.67/11.38	3111 (all A (k4_numbers = A <-> (all B (r2_hidden(B,A) <-> -(all C (m2_subset_1(C,k1_numbers,k5_numbers) -> k1_real_1(C) != B & C != B)))))) # label(d1_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3112 $T # label(t56_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3113 (all A (v1_xreal_0(A) -> v1_int_1(k1_int_1(A)))) # label(dt_k1_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3114 (all A (v1_int_1(A) -> (p1_s2_int_1(A) & r1_xreal_0(f1_s2_int_1,A) -> p1_s2_int_1(k2_xcmplx_0(A,np__1))))) & 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)))) # label(s2_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3115 (all A (v1_int_1(A) -> (p1_s5_int_1(A) -> r1_xreal_0(f1_s5_int_1,A)))) & (exists A (v1_int_1(A) & p1_s5_int_1(A))) -> (exists A (v1_int_1(A) & (all B (v1_int_1(B) -> (p1_s5_int_1(B) -> r1_xreal_0(A,B)))) & p1_s5_int_1(A))) # label(s5_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3116 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (r2_int_1(A,B) <-> (exists C (B = k3_xcmplx_0(A,C) & v1_int_1(C)))))))) # label(d9_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3117 (all A (v1_xreal_0(A) -> k1_int_1(k2_int_1(A)) = k2_int_1(A))) # label(t62_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3118 (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].
11.67/11.38	3119 (exists A (v1_int_1(A) & p1_s6_int_1(A))) & (all A (v1_int_1(A) -> (p1_s6_int_1(A) -> r1_xreal_0(A,f1_s6_int_1)))) -> (exists A ((all B (v1_int_1(B) -> (p1_s6_int_1(B) -> r1_xreal_0(B,A)))) & p1_s6_int_1(A) & v1_int_1(A))) # label(s6_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3120 $T # label(t27_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3121 $T # label(t30_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3122 (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].
11.67/11.38	3123 (all A (v1_int_1(A) -> (A != np__0 -> np__1 = k5_int_1(A,A)))) # label(t76_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3124 $T # label(t14_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3125 (all A (v1_xreal_0(A) -> (all B (v1_int_1(B) -> k2_xcmplx_0(k2_int_1(A),B) = k2_int_1(k2_xcmplx_0(A,B)))))) # label(t58_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3126 (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].
11.67/11.38	3127 (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].
11.67/11.38	3128 (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].
11.67/11.38	3129 (all A (v1_xreal_0(A) -> (all B (v1_int_1(B) -> (B = k1_int_1(A) <-> r1_xreal_0(B,A) & -r1_xreal_0(B,k6_xcmplx_0(A,np__1))))))) # label(d4_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3130 $T # label(t10_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3131 (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].
11.67/11.38	3132 (all A (v1_xreal_0(A) -> (k1_int_1(A) = k2_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].
11.67/11.38	3133 (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].
11.67/11.38	3134 (all A (v1_xreal_0(A) -> (k4_int_1(A) = np__0 <-> v1_int_1(A)))) # label(t71_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3135 (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) -> r1_xreal_0(B,k6_xcmplx_0(A,np__1)) | C = B | r1_xreal_0(C,k6_xcmplx_0(A,np__1))))))))) # label(t44_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3136 $T # label(t67_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3137 (all A (v1_xreal_0(A) -> -(-v1_int_1(A) & r1_xreal_0(k4_int_1(A),np__0)) & -(v1_int_1(A) & -r1_xreal_0(k4_int_1(A),np__0)))) # label(t72_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3138 (all A (v1_int_1(A) -> np__0 = k5_int_1(A,np__0))) # label(t75_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3139 (all A all B (v1_int_1(B) & m1_subset_1(A,k5_numbers) -> v1_xcmplx_0(k2_xcmplx_0(B,A)) & v1_xreal_0(k2_xcmplx_0(B,A)) & v1_int_1(k2_xcmplx_0(B,A)))) # label(fc6_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3140 (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].
11.67/11.38	3141 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_int_1(B) -> -(-r1_xreal_0(B,A) & (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> -(r1_xreal_0(np__1,C) & C = k6_xcmplx_0(B,A))))))))) # label(t78_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3142 $T # label(t2_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	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(k2_xcmplx_0(A,D),k2_xcmplx_0(B,E),C)))))))))))) # label(t37_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3144 (all A (v1_int_1(A) -> k6_int_1(A,A) = np__0)) # label(t77_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3145 $T # label(t24_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3146 (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) -> (k3_xcmplx_0(A,B) = C & r1_int_1(D,E,C) -> r1_int_1(D,E,A)))))))))))) # label(t41_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3147 $T # label(t73_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3148 $T # label(t28_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3149 (all A (v1_xreal_0(A) -> (k2_int_1(A) = A <-> v1_int_1(A)))) # label(t54_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3150 (all A (v1_xreal_0(A) -> -r1_xreal_0(k2_int_1(A),k6_xcmplx_0(A,np__1)) & -r1_xreal_0(k2_xcmplx_0(k2_int_1(A),np__1),A))) # label(t57_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3151 (all A (m1_subset_1(A,k5_numbers) -> v1_xcmplx_0(k4_xcmplx_0(A)) & v1_int_1(k4_xcmplx_0(A)) & -v2_xreal_0(k4_xcmplx_0(A)) & v1_xreal_0(k4_xcmplx_0(A)))) # label(fc5_int_1) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3152 (all A all B (m1_subset_1(A,k2_numbers) & m1_subset_1(B,k2_numbers) -> k7_xcmplx_0(A,B) = k6_binop_2(A,B))) # label(redefinition_k6_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3153 (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) = k11_binop_2(B,C))))) <-> A = k35_binop_2))) # label(d11_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3154 (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_2(B,f1_s1_binop_2,f2_s1_binop_2) & m2_relset_1(B,f1_s1_binop_2,f2_s1_binop_2) & v1_funct_1(B) -> ((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))) & (all C (m1_subset_1(C,f1_s1_binop_2) -> f3_s1_binop_2(C) = k8_funct_2(f1_s1_binop_2,f2_s1_binop_2,A,C))) -> B = A))))) # label(s1_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3155 (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].
11.67/11.38	3156 (all A all B (m1_subset_1(B,k5_numbers) & m1_subset_1(A,k5_numbers) -> k3_xcmplx_0(A,B) = k24_binop_2(A,B))) # label(redefinition_k24_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3157 (all A all B (m1_subset_1(B,k2_numbers) & m1_subset_1(A,k2_numbers) -> k6_xcmplx_0(A,B) = k4_binop_2(A,B))) # label(redefinition_k4_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3158 (all A (v1_funct_1(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) -> ((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))))) <-> k42_binop_2 = A))) # label(d18_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3159 (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) -> (k27_binop_2 = 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) = k3_binop_2(B,C)))))))) # label(d3_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3160 (all A all B (m1_subset_1(A,k2_numbers) & m1_subset_1(B,k2_numbers) -> m1_subset_1(k6_binop_2(A,B),k2_numbers))) # label(dt_k6_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3161 (all A all B (m1_subset_1(A,k1_numbers) & m1_subset_1(B,k1_numbers) -> k12_binop_2(A,B) = k7_xcmplx_0(A,B))) # label(redefinition_k12_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3162 (all A all B (m1_subset_1(B,k3_numbers) & m1_subset_1(A,k3_numbers) -> k16_binop_2(A,B) = k6_xcmplx_0(A,B))) # label(redefinition_k16_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3163 (all A all B (m1_subset_1(B,k2_numbers) & m1_subset_1(A,k2_numbers) -> k3_binop_2(A,B) = k3_binop_2(B,A))) # label(commutativity_k3_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3164 (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].
11.67/11.38	3165 (all A (m1_subset_1(A,k3_numbers) -> A = k14_binop_2(k14_binop_2(A)))) # label(involutiveness_k14_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3166 (all A (v1_funct_1(A) & v1_funct_2(A,k1_numbers,k1_numbers) & m2_relset_1(A,k1_numbers,k1_numbers) -> (A = k32_binop_2 <-> (all B (m1_subset_1(B,k1_numbers) -> k8_funct_2(k1_numbers,k1_numbers,A,B) = k8_binop_2(B)))))) # label(d8_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3167 (all A (v1_funct_1(A) & m2_relset_1(A,k2_numbers,k2_numbers) & v1_funct_2(A,k2_numbers,k2_numbers) -> ((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].
11.67/11.38	3168 (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].
11.67/11.38	3169 (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].
11.67/11.38	3170 (all A (v1_funct_2(A,k1_numbers,k1_numbers) & m2_relset_1(A,k1_numbers,k1_numbers) & v1_funct_1(A) -> (A = k31_binop_2 <-> (all B (m1_subset_1(B,k1_numbers) -> k7_binop_2(B) = k8_funct_2(k1_numbers,k1_numbers,A,B)))))) # label(d7_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3171 (all A all B (m1_subset_1(A,k5_numbers) & m1_subset_1(B,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].
11.67/11.38	3172 (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) -> ((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))))) <-> k33_binop_2 = A))) # label(d9_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3173 (all A (m1_subset_1(A,k1_numbers) -> k7_binop_2(A) = k4_xcmplx_0(A))) # label(redefinition_k7_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3174 (all A all B (m1_subset_1(A,k5_numbers) & m1_subset_1(B,k5_numbers) -> k24_binop_2(B,A) = k24_binop_2(A,B))) # label(commutativity_k24_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3175 (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].
11.67/11.38	3176 (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].
11.67/11.38	3177 (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 = k48_binop_2 <-> (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) = k24_binop_2(B,C)))))))) # label(d24_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3178 (all A (m1_subset_1(A,k3_numbers) -> v1_xreal_0(A) & v1_rat_1(A) & v1_xcmplx_0(A))) # label(cc1_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3179 (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].
11.67/11.38	3180 (all A all B (m1_subset_1(B,k1_numbers) & m1_subset_1(A,k1_numbers) -> k2_xcmplx_0(A,B) = k9_binop_2(A,B))) # label(redefinition_k9_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3181 (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) -> ((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].
11.67/11.38	3182 (all A (v1_funct_2(A,k4_numbers,k4_numbers) & m2_relset_1(A,k4_numbers,k4_numbers) & v1_funct_1(A) -> ((all B (m1_subset_1(B,k4_numbers) -> k19_binop_2(B) = k8_funct_2(k4_numbers,k4_numbers,A,B))) <-> k43_binop_2 = A))) # label(d19_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3183 (all A all B (m1_subset_1(A,k3_numbers) & m1_subset_1(B,k3_numbers) -> k17_binop_2(A,B) = k17_binop_2(B,A))) # label(commutativity_k17_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3184 (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) -> (k34_binop_2 = A <-> (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].
11.67/11.38	3185 (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].
11.67/11.38	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].
11.67/11.38	3187 (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].
11.67/11.38	3188 (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].
11.67/11.38	3189 (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].
11.67/11.38	3190 (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].
11.67/11.38	3191 (all A (m2_relset_1(A,k2_zfmisc_1(f1_s2_binop_2,f1_s2_binop_2),f1_s2_binop_2) & v1_funct_2(A,k2_zfmisc_1(f1_s2_binop_2,f1_s2_binop_2),f1_s2_binop_2) & v1_funct_1(A) -> (all 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) & v1_funct_1(B) -> ((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))))) & (all C (m1_subset_1(C,f1_s2_binop_2) -> (all D (m1_subset_1(D,f1_s2_binop_2) -> k2_binop_1(f1_s2_binop_2,f1_s2_binop_2,f1_s2_binop_2,A,C,D) = f2_s2_binop_2(C,D))))) -> A = B))))) # label(s2_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3192 (all A all B (m1_subset_1(A,k3_numbers) & m1_subset_1(B,k3_numbers) -> m1_subset_1(k17_binop_2(A,B),k3_numbers))) # label(dt_k17_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3193 (all A all B (m1_subset_1(A,k2_numbers) & m1_subset_1(B,k2_numbers) -> k2_xcmplx_0(A,B) = k3_binop_2(A,B))) # label(redefinition_k3_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3194 (all A (v1_funct_1(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) -> (A = k28_binop_2 <-> (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) = k4_binop_2(B,C)))))))) # label(d4_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3195 (all A all B (m1_subset_1(B,k2_numbers) & m1_subset_1(A,k2_numbers) -> m1_subset_1(k4_binop_2(A,B),k2_numbers))) # label(dt_k4_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3196 (all A all B (m1_subset_1(A,k3_numbers) & m1_subset_1(B,k3_numbers) -> k2_xcmplx_0(A,B) = k15_binop_2(A,B))) # label(redefinition_k15_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.38	3197 (all A all B (m1_subset_1(B,k4_numbers) & m1_subset_1(A,k4_numbers) -> k20_binop_2(A,B) = k2_xcmplx_0(A,B))) # label(redefinition_k20_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.39	3198 (all A all B (m1_subset_1(B,k1_numbers) & m1_subset_1(A,k1_numbers) -> k10_binop_2(A,B) = k6_xcmplx_0(A,B))) # label(redefinition_k10_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.39	3199 (all A all B (m1_subset_1(A,k3_numbers) & m1_subset_1(B,k3_numbers) -> k17_binop_2(A,B) = k3_xcmplx_0(A,B))) # label(redefinition_k17_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.39	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].
11.67/11.39	3201 (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) -> (k46_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) = k22_binop_2(B,C)))))))) # label(d22_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.39	3202 (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].
11.67/11.39	3203 (all A (m1_subset_1(A,k1_numbers) -> k5_xcmplx_0(A) = k8_binop_2(A))) # label(redefinition_k8_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.39	3204 (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].
11.67/11.39	3205 (all A all B (m1_subset_1(A,k4_numbers) & m1_subset_1(B,k4_numbers) -> k22_binop_2(B,A) = k22_binop_2(A,B))) # label(commutativity_k22_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.39	3206 (all A (m1_subset_1(A,k2_numbers) -> k2_binop_2(k2_binop_2(A)) = A)) # label(involutiveness_k2_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.39	3207 (all A (m1_subset_1(A,k2_numbers) -> k1_binop_2(A) = k4_xcmplx_0(A))) # label(redefinition_k1_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.39	3208 (all A all B (m1_subset_1(A,k5_numbers) & m1_subset_1(B,k5_numbers) -> k23_binop_2(A,B) = k23_binop_2(B,A))) # label(commutativity_k23_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.39	3209 (all A all B (m1_subset_1(B,k1_numbers) & m1_subset_1(A,k1_numbers) -> k11_binop_2(A,B) = k11_binop_2(B,A))) # label(commutativity_k11_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.39	3210 (all A all B (m1_subset_1(B,k1_numbers) & m1_subset_1(A,k1_numbers) -> m1_subset_1(k11_binop_2(A,B),k1_numbers))) # label(dt_k11_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.39	3211 (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].
11.67/11.39	3212 (all A all B (m1_subset_1(A,k1_numbers) & m1_subset_1(B,k1_numbers) -> m1_subset_1(k12_binop_2(A,B),k1_numbers))) # label(dt_k12_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.39	3213 (all A (m1_subset_1(A,k4_numbers) -> k19_binop_2(k19_binop_2(A)) = A)) # label(involutiveness_k19_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.39	3214 (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].
11.67/11.39	3215 (all A all B (m1_subset_1(A,k2_numbers) & m1_subset_1(B,k2_numbers) -> k3_xcmplx_0(A,B) = k5_binop_2(A,B))) # label(redefinition_k5_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.67/11.39	3216 (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].
11.67/11.39	3217 (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 = k44_binop_2 <-> (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].
11.73/11.39	3218 (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) -> (A = k45_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) = k21_binop_2(B,C)))))))) # label(d21_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3219 (all A (m1_subset_1(A,k4_numbers) -> k19_binop_2(A) = k4_xcmplx_0(A))) # label(redefinition_k19_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3220 (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) = k17_binop_2(B,C))))) <-> k41_binop_2 = A))) # label(d17_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3221 (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].
11.73/11.39	3222 (all A all B (m1_subset_1(B,k4_numbers) & m1_subset_1(A,k4_numbers) -> k3_xcmplx_0(A,B) = k22_binop_2(A,B))) # label(redefinition_k22_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3223 (all A (m1_subset_1(A,k2_numbers) -> A = k1_binop_2(k1_binop_2(A)))) # label(involutiveness_k1_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3224 (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].
11.73/11.39	3225 (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].
11.73/11.39	3226 (all A all B (m1_subset_1(A,k4_numbers) & m1_subset_1(B,k4_numbers) -> m1_subset_1(k20_binop_2(A,B),k4_numbers))) # label(dt_k20_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3227 (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) -> k15_binop_2(B,C) = k2_binop_1(k3_numbers,k3_numbers,k3_numbers,A,B,C))))) <-> k39_binop_2 = A))) # label(d15_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3228 (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].
11.73/11.39	3229 (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].
11.73/11.39	3230 (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) -> k13_binop_2(B) = k8_funct_2(k3_numbers,k3_numbers,A,B))) <-> A = k37_binop_2))) # label(d13_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3231 (all A (v1_funct_1(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) -> ((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) = k6_binop_2(B,C))))) <-> A = k30_binop_2))) # label(d6_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3232 (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].
11.73/11.39	3233 (all A (m1_subset_1(A,k3_numbers) -> k4_xcmplx_0(A) = k13_binop_2(A))) # label(redefinition_k13_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3234 (all A (v1_funct_1(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) -> (k29_binop_2 = A <-> (all B (m1_subset_1(B,k2_numbers) -> (all C (m1_subset_1(C,k2_numbers) -> k5_binop_2(B,C) = k2_binop_1(k2_numbers,k2_numbers,k2_numbers,A,B,C)))))))) # label(d5_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3235 (all A (v1_funct_2(A,k2_numbers,k2_numbers) & m2_relset_1(A,k2_numbers,k2_numbers) & v1_funct_1(A) -> (A = k26_binop_2 <-> (all B (m1_subset_1(B,k2_numbers) -> k8_funct_2(k2_numbers,k2_numbers,A,B) = k2_binop_2(B)))))) # label(d2_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3236 (all A all B (m1_subset_1(B,k1_numbers) & m1_subset_1(A,k1_numbers) -> k9_binop_2(B,A) = k9_binop_2(A,B))) # label(commutativity_k9_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3237 (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].
11.73/11.39	3238 (all A (v1_funct_1(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) -> (k47_binop_2 = 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) = k23_binop_2(B,C)))))))) # label(d23_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3239 (all A all B (m1_subset_1(B,k4_numbers) & m1_subset_1(A,k4_numbers) -> k21_binop_2(A,B) = k6_xcmplx_0(A,B))) # label(redefinition_k21_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3240 (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].
11.73/11.39	3241 (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].
11.73/11.39	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) -> k14_binop_2(B) = k8_funct_2(k3_numbers,k3_numbers,A,B))) <-> A = k38_binop_2))) # label(d14_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3243 (all A (v1_funct_1(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) -> (k40_binop_2 = A <-> (all B (m1_subset_1(B,k3_numbers) -> (all C (m1_subset_1(C,k3_numbers) -> k16_binop_2(B,C) = k2_binop_1(k3_numbers,k3_numbers,k3_numbers,A,B,C)))))))) # label(d16_binop_2) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3244 (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].
11.73/11.39	3245 (all A (v2_membered(A) -> v1_membered(A))) # label(cc4_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3246 (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].
11.73/11.39	3247 (all A (v2_membered(A) -> (all B (v2_membered(B) -> (A = B <-> (all C (v1_xreal_0(C) -> (r2_hidden(C,B) <-> r2_hidden(C,A))))))))) # label(d12_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3248 (all A all B (v1_membered(A) -> v1_membered(k3_xboole_0(B,A)))) # label(fc28_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3249 (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].
11.73/11.39	3250 (all A all B (v5_membered(B) -> (r1_tarski(A,B) -> v5_membered(A)))) # label(t20_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3251 (all A (v5_membered(A) -> r1_tarski(A,k5_numbers))) # label(t5_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3252 (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].
11.73/11.39	3253 (all A (v4_membered(A) -> (all B (v4_membered(B) -> (r1_xboole_0(A,B) <-> (all C (v1_int_1(C) -> -(r2_hidden(C,B) & r2_hidden(C,A))))))))) # label(d19_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3254 (all A (v4_membered(A) -> (all B (v4_membered(B) -> (A = B <-> (all C (v1_int_1(C) -> (r2_hidden(C,B) <-> r2_hidden(C,A))))))))) # label(d14_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3255 (all A all B all C (v1_xreal_0(A) & v1_xreal_0(C) & v1_xreal_0(B) -> v2_membered(k1_enumset1(A,B,C)) & v1_membered(k1_enumset1(A,B,C)))) # label(fc18_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3256 (all A all B all C (v1_int_1(A) & v1_int_1(B) & v1_int_1(C) -> v1_membered(k1_enumset1(A,B,C)) & v2_membered(k1_enumset1(A,B,C)) & v3_membered(k1_enumset1(A,B,C)) & v4_membered(k1_enumset1(A,B,C)))) # label(fc20_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3257 (all A (v5_membered(A) -> v4_membered(A))) # label(cc1_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3258 (all A (v1_membered(A) <-> (all B (r2_hidden(B,A) -> v1_xcmplx_0(B))))) # label(d1_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3259 (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].
11.73/11.39	3260 (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].
11.73/11.39	3261 (all A (v2_membered(A) -> (all B (v2_membered(B) -> (r1_xboole_0(A,B) <-> (all C (v1_xreal_0(C) -> -(r2_hidden(C,B) & r2_hidden(C,A))))))))) # label(d17_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3262 (all A (v3_membered(A) -> v2_membered(A))) # label(cc3_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3263 (all A (m1_subset_1(A,k1_zfmisc_1(k2_numbers)) -> v1_membered(A))) # label(cc5_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3264 (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].
11.73/11.39	3265 (all A all B (v1_membered(A) -> v1_membered(k3_xboole_0(A,B)))) # label(fc27_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3266 (all A all B (v4_membered(A) & v4_membered(B) -> v1_membered(k2_xboole_0(A,B)) & v2_membered(k2_xboole_0(A,B)) & v4_membered(k2_xboole_0(A,B)) & v3_membered(k2_xboole_0(A,B)))) # label(fc25_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3267 (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].
11.73/11.39	3268 (all A all B (v2_membered(B) & v2_membered(A) -> v1_membered(k2_xboole_0(A,B)) & v2_membered(k2_xboole_0(A,B)))) # label(fc23_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3269 (all A (v1_membered(A) -> ((all B (v1_xcmplx_0(B) -> r2_hidden(B,A))) -> k2_numbers = A))) # label(t11_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3270 (all A (v1_rat_1(A) -> v2_membered(k1_tarski(A)) & v3_membered(k1_tarski(A)) & v1_membered(k1_tarski(A)))) # label(fc9_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3271 (all A all B (v5_membered(A) -> v1_membered(k3_xboole_0(A,B)) & v2_membered(k3_xboole_0(A,B)) & v5_membered(k3_xboole_0(A,B)) & v4_membered(k3_xboole_0(A,B)) & v3_membered(k3_xboole_0(A,B)))) # label(fc35_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3272 (all A (v5_membered(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> v5_membered(B) & v4_membered(B) & v3_membered(B) & v2_membered(B) & v1_membered(B))))) # label(cc20_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3273 (all A (v4_ordinal2(A) -> v1_membered(k1_tarski(A)) & v4_membered(k1_tarski(A)) & v5_membered(k1_tarski(A)) & v3_membered(k1_tarski(A)) & v2_membered(k1_tarski(A)))) # label(fc11_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3274 (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].
11.73/11.39	3275 (exists A ((all B (v1_xreal_0(B) -> (r2_hidden(B,A) <-> p1_s2_membered(B)))) & v2_membered(A))) # label(s2_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3276 (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].
11.73/11.39	3277 (exists A (-v1_xboole_0(A) & v2_membered(A) & v3_membered(A) & v5_membered(A) & v4_membered(A) & v1_membered(A))) # label(rc1_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3278 (all A (v3_membered(A) -> (all B (m1_subset_1(B,A) -> v1_xcmplx_0(B) & v1_xreal_0(B) & v1_rat_1(B))))) # label(cc12_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3279 (all A (v5_membered(A) -> (all B (v5_membered(B) -> ((all C (v4_ordinal2(C) -> (r2_hidden(C,A) -> r2_hidden(C,B)))) <-> r1_tarski(A,B)))))) # label(d10_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3280 (all A all B (v3_membered(B) -> (r1_tarski(A,B) -> v3_membered(A)))) # label(t18_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3281 (all A (-v1_xboole_0(A) & v5_membered(A) -> (exists B (v4_ordinal2(B) & r2_hidden(B,A))))) # label(t10_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3282 (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].
11.73/11.39	3283 (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].
11.73/11.39	3284 (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].
11.73/11.39	3285 (all A (v4_membered(A) -> (all B (m1_subset_1(B,A) -> v1_xcmplx_0(B) & v1_xreal_0(B) & v1_rat_1(B) & v1_int_1(B))))) # label(cc13_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3286 (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].
11.73/11.39	3287 (all A all B (v4_ordinal2(A) & v4_ordinal2(B) -> v1_membered(k2_tarski(A,B)) & v2_membered(k2_tarski(A,B)) & v5_membered(k2_tarski(A,B)) & v4_membered(k2_tarski(A,B)) & v3_membered(k2_tarski(A,B)))) # label(fc16_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3288 (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].
11.73/11.39	3289 (exists A ((all B (v1_int_1(B) -> (r2_hidden(B,A) <-> p1_s4_membered(B)))) & v4_membered(A))) # label(s4_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3290 (all A all B (v5_membered(B) & v5_membered(A) -> v5_membered(k5_xboole_0(A,B)) & v4_membered(k5_xboole_0(A,B)) & v3_membered(k5_xboole_0(A,B)) & v2_membered(k5_xboole_0(A,B)) & v1_membered(k5_xboole_0(A,B)))) # label(fc46_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3291 (all A (v1_int_1(A) -> v3_membered(k1_tarski(A)) & v4_membered(k1_tarski(A)) & v2_membered(k1_tarski(A)) & v1_membered(k1_tarski(A)))) # label(fc10_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3292 (all A (v5_membered(A) -> (all B (v5_membered(B) -> (B = A <-> (all C (v4_ordinal2(C) -> (r2_hidden(C,B) <-> r2_hidden(C,A))))))))) # label(d15_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3293 (all A all B (v3_membered(A) & v3_membered(B) -> 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].
11.73/11.39	3294 (all A (v1_xreal_0(A) -> v2_membered(k1_tarski(A)) & v1_membered(k1_tarski(A)))) # label(fc8_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3295 (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].
11.73/11.39	3296 (all A all B (v3_membered(A) -> v3_membered(k4_xboole_0(A,B)) & v2_membered(k4_xboole_0(A,B)) & v1_membered(k4_xboole_0(A,B)))) # label(fc39_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3297 (all A (v2_membered(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> v1_membered(B) & v2_membered(B))))) # label(cc17_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3298 (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].
11.73/11.39	3299 (all A all B (v2_membered(B) -> (r1_tarski(A,B) -> v2_membered(A)))) # label(t17_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3300 (all A all B (v4_membered(A) -> v2_membered(k4_xboole_0(A,B)) & v4_membered(k4_xboole_0(A,B)) & v3_membered(k4_xboole_0(A,B)) & v1_membered(k4_xboole_0(A,B)))) # label(fc40_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3301 (all A all B (v3_membered(B) & v3_membered(A) -> v2_membered(k5_xboole_0(A,B)) & v3_membered(k5_xboole_0(A,B)) & v1_membered(k5_xboole_0(A,B)))) # label(fc44_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3302 (all A all B (v4_membered(A) -> v2_membered(k3_xboole_0(A,B)) & v4_membered(k3_xboole_0(A,B)) & v3_membered(k3_xboole_0(A,B)) & v1_membered(k3_xboole_0(A,B)))) # label(fc33_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3303 (all A all B all C (v4_ordinal2(C) & v4_ordinal2(B) & v4_ordinal2(A) -> v3_membered(k1_enumset1(A,B,C)) & v4_membered(k1_enumset1(A,B,C)) & v5_membered(k1_enumset1(A,B,C)) & v2_membered(k1_enumset1(A,B,C)) & v1_membered(k1_enumset1(A,B,C)))) # label(fc21_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3304 (all A all B (v1_membered(B) & r2_hidden(B,A) -> v1_membered(k1_setfam_1(A)))) # label(t26_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3305 (all A (v2_membered(A) -> r1_tarski(A,k1_numbers))) # label(t2_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3306 (all A all B (v1_membered(B) -> (r1_tarski(A,B) -> v1_membered(A)))) # label(t16_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3307 (all A (v1_membered(A) -> (all B (v1_membered(B) -> (r1_tarski(A,B) <-> (all C (v1_xcmplx_0(C) -> (r2_hidden(C,A) -> r2_hidden(C,B))))))))) # label(d6_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3308 (all A (v5_membered(A) <-> (all B (r2_hidden(B,A) -> v4_ordinal2(B))))) # label(d5_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3309 (all A (v3_membered(A) -> (all B (v3_membered(B) -> (A = B <-> (all C (v1_rat_1(C) -> (r2_hidden(C,A) <-> r2_hidden(C,B))))))))) # label(d13_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3310 (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].
11.73/11.39	3311 (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].
11.73/11.39	3312 (all A (v1_xboole_0(A) -> v1_membered(A) & v5_membered(A) & v4_membered(A) & v3_membered(A) & v2_membered(A))) # label(cc15_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3313 (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].
11.73/11.39	3314 (all A (m1_subset_1(A,k1_zfmisc_1(k4_numbers)) -> v4_membered(A) & v3_membered(A) & v2_membered(A) & v1_membered(A))) # label(cc8_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3315 (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].
11.73/11.39	3316 (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].
11.73/11.39	3317 (all A all B (v4_membered(B) & v4_membered(A) -> 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].
11.73/11.39	3318 (all A (v4_membered(A) -> v3_membered(A))) # label(cc2_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3319 (all A (-v1_xboole_0(A) & v1_membered(A) -> (exists B (v1_xcmplx_0(B) & r2_hidden(B,A))))) # label(t6_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3320 (all A all B (v3_membered(A) -> v1_membered(k3_xboole_0(A,B)) & v3_membered(k3_xboole_0(A,B)) & v2_membered(k3_xboole_0(A,B)))) # label(fc31_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3321 (all A (v1_membered(A) -> r1_tarski(A,k2_numbers))) # label(t1_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3322 (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].
11.73/11.39	3323 (all A all B (v1_rat_1(A) & v1_rat_1(B) -> v2_membered(k2_tarski(A,B)) & v3_membered(k2_tarski(A,B)) & v1_membered(k2_tarski(A,B)))) # label(fc14_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3324 (all A all B (v5_membered(A) -> v1_membered(k4_xboole_0(A,B)) & v2_membered(k4_xboole_0(A,B)) & v3_membered(k4_xboole_0(A,B)) & v4_membered(k4_xboole_0(A,B)) & v5_membered(k4_xboole_0(A,B)))) # label(fc41_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3325 (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].
11.73/11.39	3326 (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].
11.73/11.39	3327 (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].
11.73/11.39	3328 (all A (v1_xcmplx_0(A) -> v1_membered(k1_tarski(A)))) # label(fc7_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3329 (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)) & v2_membered(k1_enumset1(A,B,C)) & v3_membered(k1_enumset1(A,B,C)))) # label(fc19_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3330 (all A (v4_membered(A) -> ((all B (v1_int_1(B) -> r2_hidden(B,A))) -> k4_numbers = A))) # label(t14_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3331 (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].
11.73/11.39	3332 (all A (m1_subset_1(A,k1_zfmisc_1(k5_numbers)) -> v1_membered(A) & v4_membered(A) & v5_membered(A) & v3_membered(A) & v2_membered(A))) # label(cc9_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3333 (all A (v5_membered(A) -> (all B (m1_subset_1(B,A) -> v1_xcmplx_0(B) & v4_ordinal2(B) & v1_xreal_0(B) & v1_int_1(B) & v1_rat_1(B))))) # label(cc14_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3334 (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].
11.73/11.39	3335 (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].
11.73/11.39	3336 (all A all B (v5_membered(B) & v5_membered(A) -> v2_membered(k2_xboole_0(A,B)) & v5_membered(k2_xboole_0(A,B)) & v4_membered(k2_xboole_0(A,B)) & v3_membered(k2_xboole_0(A,B)) & v1_membered(k2_xboole_0(A,B)))) # label(fc26_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3337 (all A (v4_membered(A) -> r1_tarski(A,k4_numbers))) # label(t4_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3338 (all A all B (v1_membered(A) -> v1_membered(k4_xboole_0(A,B)))) # label(fc37_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3339 (all A ((all B (r2_hidden(B,A) -> v1_xreal_0(B))) <-> v2_membered(A))) # label(d2_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3340 (all A all B (v4_membered(B) -> (r1_tarski(A,B) -> v4_membered(A)))) # label(t19_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3341 (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_xboole_0(A,B)))))) # label(d16_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3342 (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].
11.73/11.39	3343 (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].
11.73/11.39	3344 (all A all B (v5_membered(A) -> v4_membered(k3_xboole_0(B,A)) & v5_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].
11.73/11.39	3345 (exists A (v3_membered(A) & (all B (v1_rat_1(B) -> (r2_hidden(B,A) <-> p1_s3_membered(B)))))) # label(s3_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3346 (all A all B (v1_xreal_0(A) & v1_xreal_0(B) -> v2_membered(k2_tarski(A,B)) & v1_membered(k2_tarski(A,B)))) # label(fc13_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3347 (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].
11.73/11.39	3348 (all A (v3_membered(A) <-> (all B (r2_hidden(B,A) -> v1_rat_1(B))))) # label(d3_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3349 (all A all B (r2_hidden(B,A) & v4_membered(B) -> v4_membered(k1_setfam_1(A)))) # label(t29_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3350 (all A all B (v1_xcmplx_0(B) & v1_xcmplx_0(A) -> v1_membered(k2_tarski(A,B)))) # label(fc12_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3351 (all A all B (v1_int_1(A) & v1_int_1(B) -> v4_membered(k2_tarski(A,B)) & v3_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].
11.73/11.39	3352 (all A (v4_membered(A) <-> (all B (r2_hidden(B,A) -> v1_int_1(B))))) # label(d4_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3353 (all A (m1_subset_1(A,k1_zfmisc_1(k3_numbers)) -> v2_membered(A) & v3_membered(A) & v1_membered(A))) # label(cc7_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3354 (all A (v1_membered(A) -> (all B (v1_membered(B) -> ((all C (v1_xcmplx_0(C) -> (r2_hidden(C,A) <-> r2_hidden(C,B)))) <-> B = A))))) # label(d11_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3355 (all A (v3_membered(A) -> (all B (v3_membered(B) -> ((all C (v1_rat_1(C) -> -(r2_hidden(C,A) & r2_hidden(C,B)))) <-> r1_xboole_0(A,B)))))) # label(d18_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3356 (all A (v4_membered(A) & -v1_xboole_0(A) -> (exists B (r2_hidden(B,A) & v1_int_1(B))))) # label(t9_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3357 (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].
11.73/11.39	3358 (all A (v3_membered(A) -> r1_tarski(A,k3_numbers))) # label(t3_membered) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3359 (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].
11.73/11.39	3360 (all A k1_card_1(k1_tarski(A)) = k4_ordinal2) # label(t50_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3361 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (r1_tarski(A,k1_relat_1(B)) & v2_funct_1(B) -> r2_wellord2(A,k9_relat_1(B,A))))) # label(t60_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3362 $T # label(t15_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3363 $T # label(t77_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3364 (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].
11.73/11.39	3365 (all A (r2_hidden(A,k5_ordinal2) -> v1_card_1(A))) # label(t65_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3366 (all A (v1_finset_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (k1_card_1(B) = k1_card_1(A) <-> k4_card_1(A) = B))))) # label(d11_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3367 $T # label(t62_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3368 (all A (v1_card_1(A) & v1_finset_1(A) -> (exists B (m2_subset_1(B,k1_numbers,k5_numbers) & A = k1_card_1(B))))) # label(t86_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3369 $T # label(d2_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3370 (all A all B ((exists C (v1_relat_1(C) & v1_funct_1(C) & r1_tarski(A,k2_relat_1(C)) & k1_relat_1(C) = B)) <-> r1_tarski(k1_card_1(A),k1_card_1(B)))) # label(t28_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3371 (all A all B (r2_wellord2(A,B) <-> k1_card_1(A) = k1_card_1(B))) # label(t21_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3372 (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].
11.73/11.39	3373 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (k3_card_1(A) = k3_card_1(B) -> B = A))))) # label(t42_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3374 $T # label(t53_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3375 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r1_ordinal1(A,B) <-> r1_xreal_0(A,B)))))) # label(t56_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3376 $T # label(t9_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3377 $T # label(t10_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3378 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (B != A & r1_tarski(A,B) <-> r2_hidden(A,B)))))) # label(t13_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3379 (all A (v1_card_1(A) -> r2_hidden(A,k2_card_1(A)))) # label(t32_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3380 (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].
11.73/11.39	3381 (all A (v3_ordinal1(A) -> (all B (k3_card_1(A) = 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_funct_1(C,D) = k1_card_1(k8_ordinal2(k2_ordinal1(C,D))) | D = k1_xboole_0))) & (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_card_1(k5_numbers) = k1_funct_1(C,k1_xboole_0) & B = k1_ordinal2(C) & v1_funct_1(C))))))) # label(d8_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3382 (all A (m1_subset_1(A,k5_numbers) -> v1_ordinal1(A) & -v3_xreal_0(A) & v1_card_1(A) & v1_xreal_0(A) & v1_finset_1(A) & v1_xcmplx_0(A) & v4_ordinal2(A) & v3_ordinal1(A) & v2_ordinal1(A))) # label(cc3_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3383 (all A all B all C all D (r1_xboole_0(A,B) & r1_xboole_0(C,D) & r2_wellord2(A,C) & r2_wellord2(B,D) -> r2_wellord2(k2_xboole_0(A,B),k2_xboole_0(C,D)))) # label(t58_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3384 $T # label(t70_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3385 $T # label(t31_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3386 $T # label(t37_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3387 (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].
11.73/11.39	3388 (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].
11.73/11.39	3389 (all A r2_hidden(k1_card_1(k1_xboole_0),k2_card_1(A))) # label(t33_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3390 (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].
11.73/11.39	3391 $T # label(t63_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3392 $T # label(t18_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3393 (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].
11.73/11.39	3394 (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].
11.73/11.39	3395 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (-r1_tarski(B,A) <-> r2_hidden(A,B)))))) # label(t14_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3396 $T # label(t20_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3397 $T # label(t1_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3398 (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].
11.73/11.39	3399 (all A all B ((exists C (v1_relat_1(C) & v1_funct_1(C) & A = k1_relat_1(C) & r1_tarski(k2_relat_1(C),B) & v2_funct_1(C))) <-> r1_tarski(k1_card_1(A),k1_card_1(B)))) # label(t26_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3400 (all A (v3_ordinal1(A) -> r1_ordinal1(k1_card_1(A),A))) # label(t24_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3401 (exists A v1_card_1(A)) # label(rc1_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	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].
11.73/11.39	3403 $T # label(t67_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3404 $T # label(t5_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3405 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> k1_nat_1(A,np__1) = k1_ordinal1(A))) # label(t52_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3406 $T # label(t75_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3407 (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].
11.73/11.39	3408 $T # label(t12_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3409 $T # label(d10_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3410 p1_s1_card_1(k1_xboole_0) & (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) -> (v2_card_1(A) & (all B (v1_card_1(B) -> (r2_hidden(B,A) -> p1_s1_card_1(B)))) -> p1_s1_card_1(A) | A = k1_xboole_0))) -> (all A (v1_card_1(A) -> p1_s1_card_1(A))) # label(s1_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3411 (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].
11.73/11.39	3412 (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].
11.73/11.39	3413 (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].
11.73/11.39	3414 $T # label(t54_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3415 (all A (v1_finset_1(A) -> k4_card_1(A) = k1_card_1(A))) # label(redefinition_k4_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3416 (all A v1_card_1(k1_card_1(A))) # label(dt_k1_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3417 $T # label(t6_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3418 (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].
11.73/11.39	3419 $T # label(d4_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3420 (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].
11.73/11.39	3421 (all A (v3_ordinal1(A) -> v3_ordinal1(k3_card_1(A)) & v1_card_1(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].
11.73/11.39	3422 (all A all B (k1_card_1(k1_tarski(B)) = k1_card_1(A) <-> (exists C k1_tarski(C) = A))) # label(t49_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3423 (all A all B (k1_card_1(B) = k1_card_1(A) -> k2_card_1(B) = k2_card_1(A))) # label(t34_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3424 (all A all B (r2_wellord2(A,k1_tarski(B)) <-> (exists C A = k1_tarski(C)))) # label(t48_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3425 $T # label(t19_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3426 (all A all B (v1_card_1(B) -> (B = k1_card_1(A) <-> r2_wellord2(A,B)))) # label(d5_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3427 (all A all B (v1_card_1(B) -> (r2_hidden(k1_card_1(A),B) & (all C (v1_card_1(C) -> (r2_hidden(k1_card_1(A),C) -> r1_tarski(B,C)))) <-> k2_card_1(A) = B))) # label(d6_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3428 (all A (v1_finset_1(A) -> v1_ordinal1(k1_card_1(A)) & v2_ordinal1(k1_card_1(A)) & v1_finset_1(k1_card_1(A)) & v1_card_1(k1_card_1(A)) & v3_ordinal1(k1_card_1(A)))) # label(fc2_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3429 $T # label(t17_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3430 (all A (m1_subset_1(A,k5_numbers) -> v4_ordinal2(A) & -v3_xreal_0(A) & v1_card_1(A) & v1_xreal_0(A) & v1_xcmplx_0(A) & v3_ordinal1(A) & v2_ordinal1(A) & v1_ordinal1(A))) # label(cc2_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3431 $T # label(dt_k3_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3432 (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].
11.73/11.39	3433 (all A np__1 = k4_card_1(k1_tarski(A))) # label(t79_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3434 (all A all B all C all D (r2_hidden(C,A) & r2_hidden(D,B) & r2_wellord2(A,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].
11.73/11.39	3435 (all A (k1_xboole_0 = A <-> r2_wellord2(A,k1_xboole_0))) # label(t46_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3436 (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].
11.73/11.39	3437 $T # label(t57_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3438 (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].
11.73/11.39	3439 $T # label(d9_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3440 $T # label(t3_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3441 (all A (v1_finset_1(A) -> v1_finset_1(k2_card_1(A)))) # label(t82_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3442 $T # label(t2_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3443 (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].
11.73/11.39	3444 (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].
11.73/11.39	3445 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (k1_card_1(B) = k1_card_1(A) -> A = B))))) # label(t71_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3446 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r2_hidden(A,B) <-> r2_hidden(k3_card_1(A),k3_card_1(B))))))) # label(t41_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3447 (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].
11.73/11.39	3448 $T # label(t11_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3449 (all A v1_card_1(k2_card_1(A))) # label(dt_k2_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3450 (exists A (v1_card_1(A) & v1_finset_1(A) & v3_ordinal1(A) & v2_ordinal1(A) & v1_ordinal1(A))) # label(rc2_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3451 (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].
11.73/11.39	3452 (all A exists B (r2_wellord2(A,B) & v3_ordinal1(B))) # label(t4_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3453 (all A -r2_wellord2(A,k1_zfmisc_1(A))) # label(t29_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3454 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r2_wellord2(A,B) -> B = A))))) # label(t64_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3455 (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].
11.73/11.39	3456 $T # label(t55_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3457 (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_card_1(A),k1_card_1(B))))))) # label(t72_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3458 $T # label(t16_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3459 $T # label(d3_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3460 (all A all B (r1_tarski(k1_zfmisc_1(A),B) -> r2_hidden(k1_card_1(A),k1_card_1(B)) & -r2_wellord2(A,B))) # label(t45_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3461 (all A (v3_ordinal1(A) -> r2_hidden(A,k2_card_1(A)))) # label(t36_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3462 $T # label(t7_card_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3463 (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].
11.73/11.39	3464 $T # label(t28_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.39	3465 $T # label(t54_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3466 (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) -> (v2_funct_1(B) & v2_funct_1(A) & k2_relat_1(A) = k2_relat_1(B) -> k3_finseq_1(A) = k3_finseq_1(B)))))) # label(t65_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3467 (all A all B (v1_finseq_1(k10_finseq_1(A,B)) & v1_finset_1(k10_finseq_1(A,B)) & v1_funct_1(k10_finseq_1(A,B)) & v1_relat_1(k10_finseq_1(A,B)))) # label(fc7_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3468 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (r1_xreal_0(A,B) & r1_xreal_0(np__1,A) <-> r2_hidden(A,k2_finseq_1(B))))))) # label(t3_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3469 $T # label(t2_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3470 (all A all B (m2_finseq_1(B,A) -> (all C (v4_ordinal2(C) -> (r1_xreal_0(C,k3_finseq_1(B)) -> k3_finseq_1(k16_finseq_1(A,B,C)) = C))))) # label(t80_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3471 (all A (v4_ordinal2(A) -> v1_finset_1(k1_finseq_1(A)))) # label(fc1_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3472 (all 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(B)) & k4_tarski(C,k1_funct_1(B,C)) = A))) & r2_hidden(A,B)))) # label(t16_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3473 (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(C,k3_finseq_1(B)) & r1_xreal_0(np__1,C) -> 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].
11.73/11.40	3474 (exists A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & k3_finseq_1(A) = f1_s2_finseq_1 & (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r2_hidden(B,k2_finseq_1(f1_s2_finseq_1)) -> f2_s2_finseq_1(B) = k1_funct_1(A,B)))))) # label(s2_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3475 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (A = k1_xboole_0 <-> k1_xboole_0 = k4_finseq_1(A)))) # label(t26_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3476 (all A k1_tarski(k4_tarski(np__1,A)) = k5_finseq_1(A)) # label(d5_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3477 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (r1_xreal_0(A,B) -> k2_finseq_1(A) = k5_subset_1(k5_numbers,k2_finseq_1(B),k2_finseq_1(A))))))) # label(t9_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3478 (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].
11.73/11.40	3479 (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 (v1_funct_1(C) & v1_finseq_1(C) & v1_relat_1(C) -> k7_finseq_1(A,k7_finseq_1(B,C)) = k7_finseq_1(k7_finseq_1(A,B),C))))))) # label(t45_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3480 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> v1_relat_1(A) & v2_finseq_1(A) & v1_funct_1(A))) # label(t68_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3481 (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].
11.73/11.40	3482 (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(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].
11.73/11.40	3483 (all A m2_finseq_1(k14_finseq_1(A),k5_numbers)) # label(dt_k14_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3484 (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) -> -(r2_hidden(D,k4_finseq_1(B)) & C = k1_nat_1(k3_finseq_1(A),D))))))))))) # label(t38_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3485 (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 (m2_finseq_1(k7_finseq_1(A,B),C) -> m2_finseq_1(A,C) & m2_finseq_1(B,C))))))) # label(t50_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3486 (all A (v1_relat_1(A) & v1_finset_1(A) -> v1_finset_1(k2_relat_1(A)))) # label(fc11_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3487 (all A (v4_ordinal2(A) -> (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) -> (k7_relat_1(B,k2_finseq_1(A)) = C & r1_xreal_0(A,k3_finseq_1(B)) -> A = k3_finseq_1(C) & k2_finseq_1(A) = k4_finseq_1(C)))))))) # label(t21_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3488 (all A all B (v4_ordinal2(B) -> ((exists C (m2_subset_1(C,k1_numbers,k5_numbers) & A = C & r1_xreal_0(C,B) & r1_xreal_0(np__1,C))) <-> r2_hidden(A,a_1_0_finseq_1(B))))) # label(fraenkel_a_1_0_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3489 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> A = k7_finseq_1(k1_xboole_0,A) & k7_finseq_1(A,k1_xboole_0) = A)) # label(t47_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3490 (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 (m2_subset_1(C,k1_numbers,k5_numbers) -> (r1_xreal_0(C,k3_finseq_1(A)) & r1_xreal_0(np__1,C) -> k1_funct_1(A,C) = k1_funct_1(k7_finseq_1(A,B),C)))))))) # label(t85_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3491 (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].
11.73/11.40	3492 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> k1_relat_1(A) = k4_finseq_1(A))) # label(redefinition_k4_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3493 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> A = k4_card_1(k1_card_1(A)) & A = k4_card_1(A))) # label(t78_finseq_1_AndLHS) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3494 (all A (v4_ordinal2(A) -> A = k4_card_1(k2_finseq_1(A)))) # label(t78_finseq_1_AndRHS) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3495 (all A (v1_relat_1(A) & v2_finseq_1(A) & v1_funct_1(A) -> v1_relat_1(k15_finseq_1(A)) & v1_funct_1(k15_finseq_1(A)))) # label(dt_k15_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3496 (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].
11.73/11.40	3497 (all A (v1_relat_1(A) & v2_finseq_1(A) & v1_funct_1(A) -> k5_relat_1(k14_finseq_1(k1_relat_1(A)),A) = k15_finseq_1(A))) # label(d14_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3498 (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].
11.73/11.40	3499 (all A all B ((all C (r2_hidden(C,B) <-> m2_finseq_1(C,A))) <-> k13_finseq_1(A) = B)) # label(d11_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3500 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (k2_finseq_1(A) = k2_finseq_1(B) -> B = A))))) # label(t8_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3501 $T # label(dt_k13_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3502 (all A all B (m1_subset_1(B,A) & -v1_xboole_0(A) -> k12_finseq_1(A,B) = k5_finseq_1(B))) # label(redefinition_k12_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3503 (exists A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A))) # label(rc1_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3504 (all A exists B m1_finseq_1(B,A)) # label(existence_m1_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3505 $T # label(t22_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3506 $T # label(dt_k5_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3507 $T # label(t1_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3508 (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) -> r1_tarski(k2_relat_1(A),k2_relat_1(k7_finseq_1(A,B))))))) # label(t42_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3509 (all A all B (m1_finseq_1(B,A) -> v1_funct_1(k16_finseq_1(A,B,np__0)) & v2_funct_1(k16_finseq_1(A,B,np__0)) & v1_finseq_1(k16_finseq_1(A,B,np__0)) & v1_finset_1(k16_finseq_1(A,B,np__0)) & v1_relat_1(k16_finseq_1(A,B,np__0)) & v1_xboole_0(k16_finseq_1(A,B,np__0)))) # label(fc15_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3510 (all A (v2_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> k2_relat_1(k14_finseq_1(k1_relat_1(A))) = k1_relat_1(A))) # label(t71_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3511 (all A all B all C (m1_finseq_1(C,A) & m1_finseq_1(B,A) -> k7_finseq_1(B,C) = k8_finseq_1(A,B,C))) # label(redefinition_k8_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3512 $T # label(t67_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3513 (all A (v1_relat_1(A) & v1_funct_1(A) -> -((all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_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].
11.73/11.40	3514 (all A all B (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(A) -> v1_relat_1(k7_finseq_1(A,B)) & v1_finseq_1(k7_finseq_1(A,B)) & v1_funct_1(k7_finseq_1(A,B)))) # label(dt_k7_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3515 (all A all B (v1_finseq_1(A) & v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) & -v1_xboole_0(B) & v1_funct_1(A) & v1_relat_1(A) -> v1_relat_1(k7_finseq_1(B,A)) & v1_funct_1(k7_finseq_1(B,A)) & v1_finset_1(k7_finseq_1(B,A)) & v1_finseq_1(k7_finseq_1(B,A)) & -v1_xboole_0(k7_finseq_1(B,A)))) # label(fc14_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3516 (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].
11.73/11.40	3517 (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].
11.73/11.40	3518 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> -(r2_hidden(A,k2_finseq_1(f2_s5_finseq_1)) & (all B (m1_subset_1(B,f1_s5_finseq_1) -> -p1_s5_finseq_1(A,B)))))) -> (exists A (m2_finseq_1(A,f1_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))))) & k2_finseq_1(f2_s5_finseq_1) = k4_finseq_1(A))) # label(s5_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3519 (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].
11.73/11.40	3520 (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].
11.73/11.40	3521 $T # label(t53_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3522 (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].
11.73/11.40	3523 (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].
11.73/11.40	3524 (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) & v1_finseq_1(C) -> (k7_finseq_1(B,A) = k7_finseq_1(B,C) | k7_finseq_1(A,B) = k7_finseq_1(C,B) -> C = A))))))) # label(t46_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3525 (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) -> k7_relat_1(k7_finseq_1(A,B),k4_finseq_1(A)) = A)))) # label(t33_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3526 (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) -> (r1_xreal_0(C,k3_finseq_1(k7_finseq_1(A,B))) -> k1_funct_1(B,k6_xcmplx_0(C,k3_finseq_1(A))) = k1_funct_1(k7_finseq_1(A,B),C) | r1_xreal_0(C,k3_finseq_1(A))))))))) # label(t37_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3527 (all A all B all C (k7_finseq_1(k9_finseq_1(A),k10_finseq_1(B,C)) = k11_finseq_1(A,B,C) & k11_finseq_1(A,B,C) = k7_finseq_1(k10_finseq_1(A,B),k9_finseq_1(C)))) # label(t60_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3528 $T # label(t30_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3529 (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].
11.73/11.40	3530 (all A -((all B (m2_subset_1(B,k1_numbers,k5_numbers) -> -r2_wellord2(A,k2_finseq_1(B)))) & v1_finset_1(A))) # label(t77_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3531 (all A (v1_relat_1(A) -> v1_relat_1(k17_finseq_1(A)))) # label(dt_k17_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3532 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> m2_subset_1(k3_finseq_1(A),k1_numbers,k5_numbers))) # label(dt_k3_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3533 (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) -> (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(B,C) = k1_funct_1(A,C)))) -> B = A))))) # label(t18_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3534 (all A ((exists B (r1_tarski(A,k2_finseq_1(B)) & m2_subset_1(B,k1_numbers,k5_numbers))) -> (k1_xboole_0 = k14_finseq_1(A) <-> A = k1_xboole_0))) # label(t72_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3535 $T # label(t34_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3536 (all A all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> k1_funct_1(k7_finseq_1(k9_finseq_1(A),B),np__1) = A)) # label(t58_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3537 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) -> (B = k1_funct_1(C,np__2) & A = k1_funct_1(C,np__1) & np__2 = k3_finseq_1(C) <-> k10_finseq_1(A,B) = C))) # label(t61_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3538 (all A (v4_ordinal2(A) -> k2_finseq_1(k2_xcmplx_0(A,np__1)) = k2_xboole_0(k2_finseq_1(A),k1_tarski(k2_xcmplx_0(A,np__1))))) # label(t11_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3539 (exists A (v1_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v2_funct_1(A) & v1_relat_1(A) & v1_xboole_0(A))) # label(rc3_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3540 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> (r1_tarski(k2_relat_1(B),k1_relat_1(A)) -> v1_finseq_1(k5_relat_1(B,A)) & v1_funct_1(k5_relat_1(B,A)) & v1_relat_1(k5_relat_1(B,A))))))) # label(t20_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3541 (all A all B all C (v1_funct_1(k11_finseq_1(A,B,C)) & v1_relat_1(k11_finseq_1(A,B,C)))) # label(fc6_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3542 (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 (r1_xreal_0(np__1,k3_finseq_1(E)) & C = k1_funct_1(E,np__1) & D = k1_funct_1(E,k3_finseq_1(E)) & (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)))) & v1_finseq_1(E) & v1_funct_1(E) & v1_relat_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].
11.73/11.40	3543 (all A exists B (v1_relat_1(B) & v1_finseq_1(B) & v1_finset_1(B) & v1_funct_1(B) & m1_relset_1(B,k5_numbers,A))) # label(rc2_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3544 (all A all B all C all D (v1_finseq_1(D) & v1_funct_1(D) & v1_relat_1(D) -> (D = k11_finseq_1(A,B,C) <-> C = k1_funct_1(D,np__3) & B = k1_funct_1(D,np__2) & k1_funct_1(D,np__1) = A & np__3 = k3_finseq_1(D)))) # label(t62_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3545 (all A -v1_xboole_0(k13_finseq_1(A))) # label(fc9_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3546 (all A all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (k1_tarski(A) = k2_relat_1(B) & k3_finseq_1(B) = np__1 <-> k9_finseq_1(A) = B))) # label(t56_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3547 (all A all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> v2_finseq_1(k7_relat_1(B,A)) & v2_finseq_1(k8_relat_1(A,B)) & v1_funct_1(k8_relat_1(A,B)) & v1_relat_1(k8_relat_1(A,B)) & v1_funct_1(k7_relat_1(B,A)) & v1_relat_1(k7_relat_1(B,A)))) # label(t69_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3548 (all A (v1_funct_1(A) & v1_finset_1(A) & v1_relat_1(A) -> v1_finset_1(k1_relat_1(A)))) # label(fc17_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3549 (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))) -> r1_xreal_0(B,np__0) | r2_hidden(B,k2_finseq_1(A)) & r2_hidden(B,k2_finseq_1(k2_xcmplx_0(A,C)))))))))) # label(t82_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3550 (exists A (v1_relat_1(A) & v1_funct_1(A) & v2_finseq_1(A))) # label(rc5_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3551 (all A ((exists B (v4_ordinal2(B) & r1_tarski(A,k2_finseq_1(B)))) -> (all B (m2_finseq_1(B,k5_numbers) -> (B = k14_finseq_1(A) <-> 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(np__1,C) & k1_funct_1(B,D) = F & r1_xreal_0(F,E) & E = k1_funct_1(B,C) & r1_xreal_0(D,k3_finseq_1(B)) & -r1_xreal_0(D,C))))))))))))))) # label(d13_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3552 (all A (v4_ordinal2(A) -> k1_finseq_1(A) = k2_finseq_1(A))) # label(redefinition_k2_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3553 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> k1_card_1(A) = k1_card_1(k2_finseq_1(A)))) # label(t76_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3554 (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) -> k2_relat_1(k7_finseq_1(A,B)) = k2_xboole_0(k2_relat_1(A),k2_relat_1(B)))))) # label(t44_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3555 (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].
11.73/11.40	3556 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (np__0 = k3_finseq_1(A) <-> A = k1_xboole_0))) # label(t25_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3557 $T # label(t51_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3558 (all A (v4_ordinal2(A) -> r2_hidden(A,k2_finseq_1(A)) | A = np__0)) # label(t5_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3559 (all A all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> (k9_finseq_1(A) = B <-> k1_funct_1(B,np__1) = A & k3_finseq_1(B) = np__1))) # label(t57_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3560 $T # label(dt_k10_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3561 (all A all B (m1_finseq_1(B,A) -> v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B))) # label(dt_m1_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3562 (all A all B (v1_relat_1(k10_finseq_1(A,B)) & v1_funct_1(k10_finseq_1(A,B)))) # label(fc5_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3563 (all A (v4_ordinal2(A) -> k4_xboole_0(k2_finseq_1(k2_xcmplx_0(A,np__1)),k1_tarski(k2_xcmplx_0(A,np__1))) = k2_finseq_1(A))) # label(t12_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3564 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_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].
11.73/11.40	3565 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (k2_finseq_1(B) = k1_relat_1(A) <-> k3_finseq_1(A) = B))))) # label(d3_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3566 (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) -> (all C (v1_relat_1(C) & v1_finseq_1(C) & v1_funct_1(C) -> ((all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r2_hidden(D,k4_finseq_1(B)) -> k1_funct_1(C,k1_nat_1(k3_finseq_1(A),D)) = k1_funct_1(B,D)))) & (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r2_hidden(D,k4_finseq_1(A)) -> k1_funct_1(C,D) = k1_funct_1(A,D)))) & k4_finseq_1(C) = k2_finseq_1(k1_nat_1(k3_finseq_1(A),k3_finseq_1(B))) <-> k7_finseq_1(A,B) = C))))))) # label(d7_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3567 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (k6_finseq_1(B) = A <-> k3_finseq_1(A) = np__0)))) # label(t32_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3568 (all A exists B m2_finseq_1(B,A)) # label(existence_m2_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3569 (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].
11.73/11.40	3570 (all A all B all C (v1_relat_1(k11_finseq_1(A,B,C)) & v1_finset_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)))) # label(fc8_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3571 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (B = k9_finseq_1(A) <-> k2_finseq_1(np__1) = k1_relat_1(B) & k1_funct_1(B,np__1) = A))) # label(d8_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3572 (exists A (v1_xboole_0(A) & v1_relat_1(A) & v2_funct_1(A) & v1_finset_1(A) & v1_funct_1(A))) # label(rc6_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3573 (all A all B (m2_finseq_1(B,A) -> v1_finseq_1(B) & m2_relset_1(B,k5_numbers,A) & v1_funct_1(B))) # label(dt_m2_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3574 $T # label(t31_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3575 (all A all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> k1_funct_1(k7_finseq_1(B,k9_finseq_1(A)),k1_nat_1(k3_finseq_1(B),np__1)) = A)) # label(t59_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3576 (all A r2_hidden(k1_xboole_0,k13_finseq_1(A))) # label(t66_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3577 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B all C (p1_s1_finseq_1(A,C) & p1_s1_finseq_1(A,B) & r2_hidden(A,k2_finseq_1(f1_s1_finseq_1)) -> C = B)))) & (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> -(r2_hidden(A,k2_finseq_1(f1_s1_finseq_1)) & (all B -p1_s1_finseq_1(A,B))))) -> (exists A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & k4_finseq_1(A) = k2_finseq_1(f1_s1_finseq_1) & (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))))))) # label(s1_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3578 $T # label(t49_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3579 $T # label(t13_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3580 (all A k1_tarski(k4_tarski(np__1,A)) = k9_finseq_1(A)) # label(t52_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3581 (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].
11.73/11.40	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].
11.73/11.40	3583 (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) -> r1_tarski(k2_relat_1(A),k2_relat_1(k7_finseq_1(B,A))))))) # label(t43_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3584 (all A all B all C k11_finseq_1(A,B,C) = k7_finseq_1(k7_finseq_1(k9_finseq_1(A),k9_finseq_1(B)),k9_finseq_1(C))) # label(d10_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3585 (all A all B (v1_funct_1(A) & -v1_xboole_0(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) & v1_finseq_1(A) & v1_relat_1(A) -> v1_relat_1(k7_finseq_1(A,B)) & v1_finseq_1(k7_finseq_1(A,B)) & v1_finset_1(k7_finseq_1(A,B)) & v1_funct_1(k7_finseq_1(A,B)) & -v1_xboole_0(k7_finseq_1(A,B)))) # label(fc13_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3586 (all A (v1_relat_1(A) -> (v1_finseq_1(A) <-> (exists B (m2_subset_1(B,k1_numbers,k5_numbers) & k1_relat_1(A) = k2_finseq_1(B)))))) # label(d2_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3587 (exists A (-v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(A))) # label(rc7_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3588 (all A all B (m1_subset_1(B,A) & -v1_xboole_0(A) -> m2_finseq_1(k12_finseq_1(A,B),A))) # label(dt_k12_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3589 (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) -> k1_nat_1(k3_finseq_1(A),k3_finseq_1(B)) = k3_finseq_1(k7_finseq_1(A,B)))))) # label(t35_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3590 (all A m2_finseq_1(k1_xboole_0,A)) # label(t29_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3591 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_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> p1_s3_finseq_1(A))) # label(s3_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3592 (all A (v1_relat_1(k5_finseq_1(A)) & v1_finset_1(k5_finseq_1(A)) & v1_finseq_1(k5_finseq_1(A)) & v1_funct_1(k5_finseq_1(A)))) # label(fc4_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3593 (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) -> -(D = A & 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].
11.73/11.40	3594 (all A all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> (k9_finseq_1(A) = B <-> k2_relat_1(B) = k1_tarski(A) & k4_finseq_1(B) = k2_finseq_1(np__1)))) # label(t55_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3595 (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].
11.73/11.40	3596 (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) -> (k7_finseq_1(A,B) = k1_xboole_0 -> k1_xboole_0 = A & k1_xboole_0 = B))))) # label(t48_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3597 $T # label(t70_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3598 (all 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(fc12_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3599 (all A k1_xboole_0 = k6_finseq_1(A)) # label(d6_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3600 (all A all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> (m1_finseq_1(B,A) <-> r1_tarski(k2_relat_1(B),A)))) # label(d4_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3601 (all A (v1_funct_1(A) & v1_relat_1(A) -> (v2_finseq_1(A) <-> (exists B (r1_tarski(k1_relat_1(A),k2_finseq_1(B)) & m2_subset_1(B,k1_numbers,k5_numbers)))))) # label(d12_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3602 (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_tarski(A,B) -> r1_xreal_0(k3_finseq_1(A),k3_finseq_1(B))))))) # label(t84_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3603 $T # label(dt_k11_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3604 (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].
11.73/11.40	3605 (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].
11.73/11.40	3606 $T # label(dt_k1_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3607 (exists A (-v1_xboole_0(A) & v1_finset_1(A) & v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A))) # label(rc8_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3608 (all A k5_finseq_1(A) = k9_finseq_1(A)) # label(redefinition_k9_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3609 (all A exists B (m1_finseq_1(B,A) & v1_relat_1(B) & v1_funct_1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_funct_1(B) & v1_xboole_0(B))) # label(rc4_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3610 (all A (v1_funct_1(A) & v1_finseq_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].
11.73/11.40	3611 (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].
11.73/11.40	3612 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (A = k1_xboole_0 <-> k1_xboole_0 = k2_relat_1(A)))) # label(t27_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3613 (all A (v1_funct_1(k9_finseq_1(A)) & v1_relat_1(k9_finseq_1(A)))) # label(dt_k9_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3614 (all A (v4_ordinal2(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> v1_funct_1(k7_relat_1(B,k2_finseq_1(A))) & v1_finseq_1(k7_relat_1(B,k2_finseq_1(A))) & v1_relat_1(k7_relat_1(B,k2_finseq_1(A))))))) # label(t19_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3615 (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) & B = C & v1_finseq_1(C) & v1_funct_1(C) & v1_relat_1(C))))) # label(s4_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3616 (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 (m2_subset_1(C,k1_numbers,k5_numbers) -> (r2_hidden(C,k4_finseq_1(A)) -> k1_funct_1(B,C) = k1_funct_1(A,C)))) & k4_finseq_1(B) = k4_finseq_1(A) -> A = B))))) # label(t17_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3617 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> -(k1_xboole_0 != A & (all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> (all C k7_finseq_1(B,k9_finseq_1(C)) != A)))))) # label(t63_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3618 (all A all B all C (m1_finseq_1(B,A) & v4_ordinal2(C) -> m2_finseq_1(k16_finseq_1(A,B,C),A))) # label(dt_k16_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3619 (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].
11.73/11.40	3620 (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) -> (all C (v1_funct_1(C) & v1_finseq_1(C) & v1_relat_1(C) -> (all D (v1_finseq_1(D) & v1_funct_1(D) & v1_relat_1(D) -> -(k7_finseq_1(A,B) = k7_finseq_1(C,D) & (all E (v1_relat_1(E) & v1_finseq_1(E) & v1_funct_1(E) -> C != k7_finseq_1(A,E))) & r1_xreal_0(k3_finseq_1(A),k3_finseq_1(C))))))))))) # label(t64_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.40	3621 (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].
11.73/11.40	3622 (all A (v1_funct_1(A) & v2_finseq_1(A) & v1_relat_1(A) -> v1_relat_1(k15_finseq_1(A)) & v1_funct_1(k15_finseq_1(A)) & v1_finseq_1(k15_finseq_1(A)) & v1_finset_1(k15_finseq_1(A)))) # label(fc10_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3623 (all A (v1_finset_1(A) <-> (exists B (v1_relat_1(B) & v1_funct_1(B) & A = k2_relat_1(B) & v1_finseq_1(B))))) # label(t73_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3624 (all A (m2_finseq_1(k6_finseq_1(A),A) & v1_xboole_0(k6_finseq_1(A)))) # label(dt_k6_finseq_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3625 (all A -(A != k1_xboole_0 & (all B -(r2_hidden(B,A) & (all C -(r1_tarski(C,B) & B != C & r2_hidden(C,A))))) & (all B -((all C -(r2_hidden(C,A) & (all D (r2_hidden(D,B) -> r1_tarski(C,D))))) & v6_ordinal1(B) & r1_tarski(B,A))))) # label(t176_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3626 $T # label(t102_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3627 $T # label(t85_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3628 $T # label(t33_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3629 $T # label(t62_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3630 (all A all B all C (v1_relat_1(C) -> (r1_tarski(B,A) & r8_relat_2(C,A) -> r8_relat_2(C,B)))) # label(t95_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3631 (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)) -> ((all C (r2_hidden(C,A) -> r2_hidden(k1_funct_1(B,C),C))) <-> m1_orders_1(B,A))))))) # label(d1_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3632 (all A all B (v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) -> A = k5_relset_1(A,A,B) & k4_relset_1(A,A,B) = A)) # label(t99_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3633 (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].
11.73/11.43	3634 (all A (v1_relat_1(A) -> (all B (v4_relat_2(A) & r8_orders_1(A,B) -> r6_orders_1(A,B))))) # label(t158_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3635 $T # label(t31_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3636 (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].
11.73/11.43	3637 (all A (v1_relat_1(A) -> (all B (r2_hidden(B,k3_relat_1(A)) & (all C -(r2_hidden(C,k3_relat_1(A)) & C != B & r2_hidden(k4_tarski(B,C),A))) <-> r6_orders_1(A,B))))) # label(d11_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3638 $T # label(t116_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3639 (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) -> A = B))))) & (all A -((all B (m1_subset_1(B,f1_s1_orders_1) -> (exists C (r2_hidden(C,A) & -p1_s1_orders_1(C,B) & m1_subset_1(C,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(C,A) & -p1_s1_orders_1(C,B) & -p1_s1_orders_1(B,C) & r2_hidden(B,A)))))) & r1_tarski(A,f1_s1_orders_1))) & (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 (m1_subset_1(A,f1_s1_orders_1) -> p1_s1_orders_1(A,A))) -> (exists A ((all B (m1_subset_1(B,f1_s1_orders_1) -> -(p1_s1_orders_1(A,B) & B != A))) & m1_subset_1(A,f1_s1_orders_1))) # label(s1_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3640 (all A (v1_relat_1(A) -> (all B (r7_orders_1(k4_relat_1(A),B) <-> r6_orders_1(A,B))))) # label(t164_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3641 (all A (v1_relat_1(A) -> (all B -(B = k3_relat_1(A) & r5_orders_1(A,B) & (all C -r7_orders_1(A,C)) & r2_orders_1(A,B))))) # label(t174_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3642 (all A (v2_orders_1(k6_partfun1(A)) & v1_orders_1(k6_partfun1(A)))) # label(t120_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3643 $T # label(t42_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3644 $T # label(t148_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3645 $T # label(t52_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3646 $T # label(t32_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3647 (all A all B all C (v1_relat_1(C) -> (r1_tarski(B,A) & r4_relat_2(C,A) -> r4_relat_2(C,B)))) # label(t94_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3648 (all A (v1_relat_1(A) -> (all B (r5_orders_1(k4_relat_1(A),B) <-> r4_orders_1(A,B))))) # label(t151_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3649 (all A all B (v1_relat_1(B) -> (r6_relat_2(B,A) & r1_relat_2(B,A) <-> r7_relat_2(B,A)))) # label(t92_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3650 $T # label(t38_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3651 (all A (-v1_xboole_0(A) -> -v1_xboole_0(k1_orders_1(A)))) # label(fc1_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3652 $T # label(t22_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3653 $T # label(t90_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3654 $T # label(t117_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3655 $T # label(t68_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3656 $T # label(t18_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3657 $T # label(t156_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3658 $T # label(t81_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3659 $T # label(t172_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3660 (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].
11.73/11.43	3661 $T # label(t74_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3662 (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].
11.73/11.43	3663 (all A (v1_relat_1(A) -> (all B (r2_orders_1(A,B) -> v1_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)) & v4_relat_2(k2_wellord1(A,B)))))) # label(t141_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3664 (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].
11.73/11.43	3665 $T # label(t29_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3666 $T # label(t89_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3667 (all A all B (v1_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) -> v1_orders_1(B))) # label(t111_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3668 (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].
11.73/11.43	3669 $T # label(dt_k1_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3670 (all A (v1_relat_1(A) -> (all B (r9_orders_1(k4_relat_1(A),B) <-> r8_orders_1(A,B))))) # label(t166_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3671 (all A (v1_relat_1(A) -> (all B (r1_relat_2(A,B) & r8_relat_2(A,B) <-> r1_orders_1(A,B))))) # label(d6_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3672 $T # label(t16_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3673 (all A (-(k1_xboole_0 = k3_tarski(A) & (exists B (B != k1_xboole_0 & r2_hidden(B,A)))) & -(k1_xboole_0 != k3_tarski(A) & (all B -(k1_xboole_0 != B & r2_hidden(B,A)))))) # label(t91_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3674 (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].
11.73/11.43	3675 (all A (v1_relat_1(A) -> (all B all C (r6_relat_2(A,B) & r1_tarski(C,B) -> r6_relat_2(A,C))))) # label(t186_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3676 $T # label(t57_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3677 (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].
11.73/11.43	3678 $T # label(t37_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3679 $T # label(t28_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3680 $T # label(t70_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3681 (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].
11.73/11.43	3682 $T # label(t168_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3683 $T # label(t73_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3684 (all A (v1_relat_1(A) -> (all B (r5_orders_1(A,B) <-> (all C -(v3_orders_1(k2_wellord1(A,C)) & (all D -((all E (r2_hidden(E,C) -> r2_hidden(k4_tarski(D,E),A))) & r2_hidden(D,B))) & r1_tarski(C,B))))))) # label(d10_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3685 (all A (v1_relat_1(A) -> (all B (r9_orders_1(A,B) <-> r2_hidden(B,k3_relat_1(A)) & (all C (r2_hidden(C,k3_relat_1(A)) -> C = B | r2_hidden(k4_tarski(B,C),A))))))) # label(d14_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3686 (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].
11.73/11.43	3687 (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].
11.73/11.43	3688 $T # label(t87_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3689 $T # label(t8_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3690 (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].
11.73/11.43	3691 $T # label(t40_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3692 (all A (v1_relat_1(A) -> (all B -(r5_orders_1(A,B) & k1_xboole_0 = B)))) # label(t150_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3693 $T # label(t79_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3694 $T # label(t47_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3695 $T # label(t48_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3696 $T # label(t72_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3697 (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(C,B),A) | C = B)) <-> r8_orders_1(A,B))))) # label(d13_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3698 $T # label(t64_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3699 $T # label(t67_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3700 $T # label(t17_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3701 $T # label(t11_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3702 (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].
11.73/11.43	3703 $T # label(t65_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3704 (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].
11.73/11.43	3705 (all A (v1_relat_1(A) -> (all B (r7_orders_1(A,B) <-> r2_hidden(B,k3_relat_1(A)) & (all C -(B != C & r2_hidden(k4_tarski(C,B),A) & r2_hidden(C,k3_relat_1(A)))))))) # label(d12_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3706 $T # label(t30_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3707 (all A all B all C all D (v4_relat_2(D) & v8_relat_2(D) & m2_relset_1(D,A,A) & v1_partfun1(D,A,A) & v1_relat_2(D) -> (r2_hidden(B,A) & r2_hidden(C,A) & r2_hidden(k4_tarski(B,C),D) & r2_hidden(k4_tarski(C,B),D) -> C = B))) # label(t13_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3708 $T # label(t53_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3709 $T # label(t101_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3710 $T # label(t121_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3711 $T # label(t66_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3712 $T # label(t155_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3713 $T # label(t19_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3714 (all A (v1_relat_1(A) -> (all B all C (r2_wellord1(A,B) & r1_tarski(C,B) -> r2_wellord1(A,C))))) # label(t187_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3715 (all A (v1_relat_1(A) -> (all B all C (r8_orders_1(A,B) & v1_relat_2(A) & r1_tarski(C,k3_relat_1(A)) & r2_hidden(B,C) -> r4_orders_1(A,C))))) # label(t161_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3716 $T # label(t36_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3717 (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].
11.73/11.43	3718 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (r2_hidden(A,k1_orders_1(B)) <-> r1_tarski(A,B)))))) # label(t5_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3719 $T # label(t3_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3720 (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].
11.73/11.43	3721 $T # label(t24_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3722 $T # label(t77_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3723 $T # label(t1_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3724 (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].
11.73/11.43	3725 (all A all B (v1_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v4_relat_2(B) -> A = k3_relat_1(B))) # label(t100_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3726 (all A (v1_relat_1(A) -> (v2_wellord1(A) -> v1_orders_1(A) & v2_orders_1(A) & v3_orders_1(A)))) # label(t107_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3727 $T # label(t75_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3728 $T # label(t144_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3729 $T # label(t82_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3730 (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].
11.73/11.43	3731 $T # label(t2_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3732 $T # label(t44_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3733 (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].
11.73/11.43	3734 (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].
11.73/11.43	3735 $T # label(t21_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3736 (all A (v1_relat_1(A) -> (v1_orders_1(A) <-> v1_relat_2(A) & v8_relat_2(A)))) # label(d3_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3737 (all A (v1_relat_1(A) -> (all B (r2_wellord1(A,B) -> r1_orders_1(A,B) & r3_orders_1(A,B) & r2_orders_1(A,B))))) # label(t124_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.73/11.43	3738 (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].
11.73/11.43	3739 $T # label(t50_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3740 (all A all B all C (v4_relat_2(C) & v8_relat_2(C) & m2_relset_1(C,A,A) & v1_partfun1(C,A,A) & 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].
11.80/11.46	3741 $T # label(t10_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3742 (all A (v1_relat_1(A) -> (all B (r7_orders_1(A,B) & v6_relat_2(A) -> r9_orders_1(A,B))))) # label(t159_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3743 $T # label(t84_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3744 $T # label(t118_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3745 $T # label(t80_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3746 (all A (m1_subset_1(A,f1_s2_orders_1) -> p1_s2_orders_1(A,A))) & (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) -> (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 -((all B (m1_subset_1(B,f1_s2_orders_1) -> (all C (m1_subset_1(C,f1_s2_orders_1) -> -(r2_hidden(B,A) & -p1_s2_orders_1(B,C) & -p1_s2_orders_1(C,B) & r2_hidden(C,A)))))) & (all B (m1_subset_1(B,f1_s2_orders_1) -> (exists C (r2_hidden(C,A) & -p1_s2_orders_1(B,C) & m1_subset_1(C,f1_s2_orders_1))))) & r1_tarski(A,f1_s2_orders_1))) -> (exists 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) & B != A))))) # label(s2_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3747 (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].
11.80/11.46	3748 $T # label(t20_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3749 $T # label(t171_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3750 (all A all B (m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) & v4_relat_2(B) & v1_relat_2(B) -> v2_orders_1(B))) # label(t110_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3751 (all A (v1_relat_1(A) -> (v2_orders_1(A) <-> v8_relat_2(A) & v4_relat_2(A) & v1_relat_2(A)))) # label(d4_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3752 (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].
11.80/11.46	3753 (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].
11.80/11.46	3754 (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].
11.80/11.46	3755 $T # label(t147_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3756 $T # label(t69_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3757 (all A (v1_relat_1(A) -> (all B (v1_relat_2(A) & r1_tarski(B,k3_relat_1(A)) -> k3_relat_1(k2_wellord1(A,B)) = B)))) # label(t181_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3758 (all A all B (m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) & v4_relat_2(B) & v1_relat_2(B) -> r1_orders_1(B,A))) # label(t139_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3759 (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].
11.80/11.46	3760 (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) -> r2_orders_1(B,A))) # label(t140_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3761 $T # label(t63_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3762 (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].
11.80/11.46	3763 $T # label(t59_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3764 $T # label(t103_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3765 $T # label(t55_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3766 $T # label(t43_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3767 (all A (v1_relat_1(A) -> (all B -(k3_relat_1(A) = B & (all C (v1_relat_1(C) -> -(r1_tarski(A,C) & B = k3_relat_1(C) & r3_orders_1(C,B)))) & r2_orders_1(A,B))))) # label(t179_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3768 (all A all B (m2_relset_1(B,A,A) & v1_partfun1(B,A,A) -> A = k3_relat_1(B))) # label(t97_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3769 $T # label(t39_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3770 $T # label(t51_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3771 (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].
11.80/11.46	3772 $T # label(t88_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3773 $T # label(t60_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3774 (all A (-v1_xboole_0(A) -> (all B (m1_orders_1(B,A) -> v1_funct_2(B,A,k3_tarski(A)) & m2_relset_1(B,A,k3_tarski(A)) & v1_funct_1(B))))) # label(dt_m1_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3775 (all A -((all B -(r2_hidden(B,A) & (all C -(r2_hidden(C,A) & C != B & r1_tarski(B,C))))) & (all B (r1_tarski(B,A) & v6_ordinal1(B) -> k1_xboole_0 = B | r2_hidden(k3_tarski(B),A))) & A != k1_xboole_0)) # label(t177_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3776 (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].
11.80/11.46	3777 $T # label(t170_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3778 (all A (v1_relat_1(A) -> (all B -(k1_xboole_0 = B & r4_orders_1(A,B))))) # label(t149_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3779 $T # label(t122_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3780 $T # label(t45_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3781 $T # label(t46_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3782 $T # label(t71_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3783 (all A (v1_relat_1(A) -> (all B (r3_orders_1(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(t142_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3784 (all A (v1_relat_1(A) -> (all B all C (r9_orders_1(A,B) & v1_relat_2(A) & r1_tarski(C,k3_relat_1(A)) & r2_hidden(B,C) -> r5_orders_1(A,C))))) # label(t162_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3785 $T # label(t41_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3786 (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].
11.80/11.46	3787 (all A (v1_relat_1(A) -> (v1_relat_2(A) & v6_relat_2(A) & v4_relat_2(A) & v8_relat_2(A) <-> v3_orders_1(A)))) # label(d5_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3788 (all A (-v1_xboole_0(A) -> (exists B m1_orders_1(B,A)))) # label(existence_m1_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3789 (all A all B all C all D all E (v1_partfun1(E,A,A) & m2_relset_1(E,A,A) & v8_relat_2(E) & v4_relat_2(E) & v1_relat_2(E) -> (r2_hidden(D,A) & r2_hidden(k4_tarski(B,C),E) & r2_hidden(k4_tarski(C,D),E) & r2_hidden(C,A) & r2_hidden(B,A) -> r2_hidden(k4_tarski(B,D),E)))) # label(t14_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3790 (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].
11.80/11.46	3791 $T # label(t145_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3792 (all A (v1_relat_1(A) -> (all B -(r2_orders_1(A,B) & (all C -r6_orders_1(A,C)) & r4_orders_1(A,B) & B = k3_relat_1(A))))) # label(t173_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3793 $T # label(t169_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3794 (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].
11.80/11.46	3795 (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].
11.80/11.46	3796 $T # label(t34_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3797 (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].
11.80/11.46	3798 (all A (v1_relat_1(A) -> (all B ((all C -(r1_tarski(C,B) & (all D -((all E (r2_hidden(E,C) -> r2_hidden(k4_tarski(E,D),A))) & r2_hidden(D,B))) & v3_orders_1(k2_wellord1(A,C)))) <-> r4_orders_1(A,B))))) # label(d9_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3799 $T # label(t83_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3800 $T # label(t61_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3801 (all A (-v1_xboole_0(A) -> r2_hidden(A,k1_orders_1(A)))) # label(t7_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3802 (all A (v1_relat_1(A) -> (all B all C (r1_tarski(C,B) & r1_orders_1(A,B) -> r1_orders_1(A,C))))) # label(t128_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3803 $T # label(t23_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3804 $T # label(t9_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3805 (all A all B (v1_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v4_relat_2(B) -> (v6_relat_2(B) -> v3_orders_1(B)))) # label(t112_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3806 (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].
11.80/11.46	3807 (all A (v1_relat_1(A) -> (v2_orders_1(A) -> v1_orders_1(A)))) # label(t109_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3808 (all A (v1_relat_1(A) -> (all B k2_wellord1(k4_relat_1(A),B) = k4_relat_1(k2_wellord1(A,B))))) # label(t193_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3809 $T # label(t56_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3810 $T # label(t49_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3811 $T # label(t35_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3812 $T # label(t167_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3813 (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].
11.80/11.46	3814 (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].
11.80/11.46	3815 (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].
11.80/11.46	3816 $T # label(t154_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3817 (all A -((all B -(r1_tarski(B,A) & v6_ordinal1(B) & (all C -(r2_hidden(C,A) & (all D (r2_hidden(D,B) -> r1_tarski(D,C))))))) & (all B -(r2_hidden(B,A) & (all C -(r2_hidden(C,A) & r1_tarski(B,C) & B != C)))) & k1_xboole_0 != A)) # label(t175_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3818 $T # label(t78_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3819 (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].
11.80/11.46	3820 (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].
11.80/11.46	3821 (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].
11.80/11.46	3822 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B -((all C -(r1_tarski(C,k1_relat_1(A)) & k9_relat_1(A,C) = B & v1_finset_1(C))) & r1_tarski(B,k2_relat_1(A)) & v1_finset_1(B))))) # label(t195_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3823 $T # label(t26_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3824 (all A -(A != k1_xboole_0 & (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) -> B = k1_xboole_0 | r2_hidden(k1_setfam_1(B),A))))) # label(t178_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3825 $T # label(t54_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3826 (all A (v1_relat_1(A) -> (all B (r8_orders_1(k4_relat_1(A),B) <-> r9_orders_1(A,B))))) # label(t165_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3827 $T # label(t58_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3828 (all A (v1_relat_1(A) -> (all B (r2_orders_1(A,B) <-> r4_relat_2(A,B) & r8_relat_2(A,B) & r1_relat_2(A,B))))) # label(d7_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3829 (all A (v1_relat_1(A) -> (all B (r3_orders_1(A,B) <-> r8_relat_2(A,B) & r4_relat_2(A,B) & r6_relat_2(A,B) & r1_relat_2(A,B))))) # label(d8_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3830 $T # label(t27_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3831 $T # label(t123_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3832 (all A (v1_relat_1(A) -> (all B (r2_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)) & v1_relat_2(k2_wellord1(A,B)))))) # label(t143_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3833 $T # label(t86_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3834 $T # label(t25_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3835 $T # label(t15_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3836 $T # label(t153_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3837 $T # label(t76_orders_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3838 (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].
11.80/11.46	3839 (all A all B all C all D (v1_partfun1(D,B,B) & m2_relset_1(D,B,B) & v8_relat_2(D) & v3_relat_2(D) -> (all E (v3_relat_2(E) & v1_partfun1(E,B,B) & m2_relset_1(E,B,B) & v8_relat_2(E) -> (r2_hidden(A,B) -> ((exists F (v1_relat_1(F) & r1_xreal_0(np__1,k3_finseq_1(F)) & C = k1_funct_1(F,k3_finseq_1(F)) & (all G (m2_subset_1(G,k1_numbers,k5_numbers) -> (r1_xreal_0(np__1,G) -> r1_xreal_0(k3_finseq_1(F),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))))) & A = k1_funct_1(F,np__1) & v1_finseq_1(F) & v1_funct_1(F))) <-> r2_hidden(k4_tarski(A,C),k5_eqrel_1(B,D,E)))))))) # label(t36_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3840 (all A all B (r2_hidden(B,A) -> A = k6_eqrel_1(A,k1_eqrel_1(A),B))) # label(t34_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3841 (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) -> v8_relat_2(C) & m2_relset_1(C,A,A) & v1_partfun1(C,A,A) & v3_relat_2(C))) -> v3_relat_2(k6_setfam_1(k2_zfmisc_1(A,A),B)) & v8_relat_2(k6_setfam_1(k2_zfmisc_1(A,A),B)) & m2_relset_1(k6_setfam_1(k2_zfmisc_1(A,A),B),A,A) & v1_partfun1(k6_setfam_1(k2_zfmisc_1(A,A),B),A,A) | B = k1_xboole_0))) # label(t19_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3842 (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(A,B) & p1_s1_eqrel_1(B,C) -> p1_s1_eqrel_1(A,C))) & (all A all B (p1_s1_eqrel_1(A,B) -> p1_s1_eqrel_1(B,A))) -> (exists A (v3_relat_2(A) & v8_relat_2(A) & v1_partfun1(A,f1_s1_eqrel_1,f1_s1_eqrel_1) & m2_relset_1(A,f1_s1_eqrel_1,f1_s1_eqrel_1) & (all B all C (r2_hidden(k4_tarski(B,C),A) <-> p1_s1_eqrel_1(B,C) & r2_hidden(C,f1_s1_eqrel_1) & r2_hidden(B,f1_s1_eqrel_1))))) # label(s1_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3843 (all A exists B m1_eqrel_1(B,A)) # label(existence_m1_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3844 (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 (v8_relat_2(C) & m2_relset_1(C,A,A) & v1_partfun1(C,A,A) & v3_relat_2(C) -> (all D (v3_relat_2(D) & v1_partfun1(D,A,A) & m2_relset_1(D,A,A) & v8_relat_2(D) -> (r1_tarski(k3_eqrel_1(A,B,C),D) & (all E (v3_relat_2(E) & m2_relset_1(E,A,A) & v1_partfun1(E,A,A) & v8_relat_2(E) -> (r1_tarski(k3_eqrel_1(A,B,C),E) -> r1_tarski(D,E)))) <-> D = k5_eqrel_1(A,B,C)))))))) # label(d3_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3845 (all A all B (v3_relat_2(B) & m1_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) & -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].
11.80/11.46	3846 (all A all B (m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) & v3_relat_2(B) -> (k1_xboole_0 = A -> k1_xboole_0 = k7_eqrel_1(A,B)))) # label(t40_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3847 (all A all B all C (m1_relset_1(C,A,A) & m1_relset_1(B,A,A) -> B = k3_eqrel_1(A,B,B))) # label(idempotence_k3_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3848 $T # label(d2_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3849 (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].
11.80/11.46	3850 (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) & v8_relat_2(C) & v1_partfun1(C,A,A) & m1_relset_1(C,A,A) & v3_relat_2(C) -> k5_eqrel_1(A,C,B) = k5_eqrel_1(A,B,C))) # label(commutativity_k5_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3851 (all A all B (v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v1_relat_2(B) -> -((exists C r2_hidden(C,A)) & B = k1_xboole_0))) # label(t14_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3852 (all A all B all C (v1_partfun1(C,A,A) & m2_relset_1(C,A,A) & v8_relat_2(C) & v3_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].
11.80/11.46	3853 (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(D,A) & -r1_xboole_0(k6_eqrel_1(A,B,C),k6_eqrel_1(A,B,D)) & k6_eqrel_1(A,B,C) != k6_eqrel_1(A,B,D) & r2_hidden(C,A))))) # label(t32_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3854 (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].
11.80/11.46	3855 (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].
11.80/11.46	3856 (all A all B all C (v1_relat_2(C) & m2_relset_1(C,A,A) & v1_partfun1(C,A,A) -> (r2_hidden(B,A) -> r2_hidden(k4_tarski(B,B),C)))) # label(t11_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3857 (all A all B (v8_relat_2(B) & v1_partfun1(B,A,A) & m1_relset_1(B,A,A) & v3_relat_2(B) -> 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].
11.80/11.46	3858 $T # label(t1_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.46	3859 (all A all B (m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) & v3_relat_2(B) -> k4_eqrel_1(A,k6_partfun1(A),B) = k6_partfun1(A))) # label(t17_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3860 (all A all B all C (v1_partfun1(C,A,A) & m2_relset_1(C,A,A) & v8_relat_2(C) & v3_relat_2(C) -> (all D (r2_hidden(D,A) -> (k6_eqrel_1(A,C,D) = k6_eqrel_1(A,C,B) <-> r2_hidden(B,k6_eqrel_1(A,C,D))))))) # label(t31_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3861 (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_xboole_0(k7_eqrel_1(A,B)))) # label(fc3_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3862 $T # label(t10_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3863 (all A (v3_relat_2(k1_eqrel_1(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))) # label(t7_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3864 (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 (v3_relat_2(C) & v8_relat_2(C) & m2_relset_1(C,A,A) & v1_partfun1(C,A,A) -> (all D (v3_relat_2(D) & v8_relat_2(D) & v1_partfun1(D,A,A) & m2_relset_1(D,A,A) -> (k3_eqrel_1(A,B,C) = D -> (all E -(r2_hidden(E,A) & k6_eqrel_1(A,B,E) != k6_eqrel_1(A,D,E) & k6_eqrel_1(A,C,E) != k6_eqrel_1(A,D,E)))))))))) # label(t37_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3865 (all A k2_zfmisc_1(A,A) = k1_eqrel_1(A)) # label(d1_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3866 $T # label(t15_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3867 (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) -> r2_hidden(C,k6_eqrel_1(A,B,C)))))) # label(t28_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3868 $T # label(t8_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3869 (all A all B (m2_relset_1(B,A,A) -> (exists C (v1_partfun1(C,A,A) & (all D (m2_relset_1(D,A,A) & v1_partfun1(D,A,A) & v8_relat_2(D) & v3_relat_2(D) -> (r1_tarski(B,D) -> r1_tarski(C,D)))) & r1_tarski(B,C) & m2_relset_1(C,A,A) & v8_relat_2(C) & v3_relat_2(C))))) # label(t20_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3870 (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].
11.80/11.47	3871 (all A all B all C (v1_partfun1(B,A,A) & m1_relset_1(B,A,A) & v3_relat_2(C) & m1_relset_1(C,A,A) & v1_partfun1(C,A,A) & v8_relat_2(C) & v8_relat_2(B) & v3_relat_2(B) -> m2_relset_1(k4_eqrel_1(A,B,C),A,A) & v1_partfun1(k4_eqrel_1(A,B,C),A,A) & v8_relat_2(k4_eqrel_1(A,B,C)) & v3_relat_2(k4_eqrel_1(A,B,C)))) # label(dt_k4_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3872 $T # label(t2_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3873 (all A all B all C (v8_relat_2(B) & v1_partfun1(B,A,A) & m1_relset_1(B,A,A) & v8_relat_2(C) & v1_partfun1(C,A,A) & m1_relset_1(C,A,A) & v3_relat_2(C) & v3_relat_2(B) -> k5_eqrel_1(A,B,B) = B)) # label(idempotence_k5_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3874 (all A m2_relset_1(k1_eqrel_1(A),A,A)) # label(dt_k1_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3875 (all A all B all C all D all E (v3_relat_2(E) & v1_partfun1(E,A,A) & m2_relset_1(E,A,A) & v8_relat_2(E) & v1_relat_2(E) -> (r2_hidden(D,k6_eqrel_1(A,E,C)) & r2_hidden(B,k6_eqrel_1(A,E,C)) -> r2_hidden(k4_tarski(B,D),E)))) # label(t30_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3876 (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) & v1_partfun1(C,A,A) & m1_relset_1(C,A,A) & v8_relat_2(C) & v3_relat_2(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)) & v3_relat_2(k5_eqrel_1(A,B,C)))) # label(dt_k5_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3877 (all A all B (v8_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v3_relat_2(B) -> k5_eqrel_1(A,B,B) = B)) # label(t22_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3878 (all A all B (m2_relset_1(B,A,A) -> (v8_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v3_relat_2(B) <-> v3_relat_2(B) & v8_relat_2(B) & k3_relat_1(B) = A & v1_relat_2(B)))) # label(t16_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3879 (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].
11.80/11.47	3880 (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) -> -((all D (m1_subset_1(D,B) -> k6_eqrel_1(B,C,D) != A)) & r2_hidden(A,k7_eqrel_1(B,C))))) # label(t45_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3881 (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))) & (A != k1_xboole_0 -> (m1_eqrel_1(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (r2_hidden(C,B) -> k1_xboole_0 != C & (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> -(r2_hidden(D,B) & C != D & -r1_xboole_0(C,D))))))) & A = k5_setfam_1(A,B))))) # label(d6_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3882 (all A all B (v3_relat_2(B) & m1_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) -> k7_eqrel_1(A,B) = k8_eqrel_1(A,B))) # label(redefinition_k8_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3883 (all A all B (v1_partfun1(B,A,A) & m1_relset_1(B,A,A) & v8_relat_2(B) & v3_relat_2(B) -> m1_eqrel_1(k8_eqrel_1(A,B),A))) # label(dt_k8_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3884 (all A all B (v3_relat_2(B) & v8_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) -> (all C (v8_relat_2(C) & m2_relset_1(C,A,A) & v1_partfun1(C,A,A) & v3_relat_2(C) -> B = k5_eqrel_1(A,B,k4_eqrel_1(A,B,C)))))) # label(t25_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3885 (all A all B all C all D (v3_relat_2(D) & v1_partfun1(D,A,A) & m2_relset_1(D,A,A) -> (r2_hidden(k4_tarski(B,C),D) -> r2_hidden(k4_tarski(C,B),D)))) # label(t12_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3886 (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) -> B = k4_eqrel_1(A,B,B))) # label(idempotence_k4_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	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].
11.80/11.47	3888 $T # label(t5_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3889 (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 (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 (k6_eqrel_1(A,B,E) = D & r2_hidden(E,A))))))))))) # label(d5_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3890 (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].
11.80/11.47	3891 (all A all B all C (v3_relat_2(B) & v8_relat_2(B) & v3_relat_2(C) & v8_relat_2(C) & m1_relset_1(C,A,A) & v1_partfun1(C,A,A) & m1_relset_1(B,A,A) & v1_partfun1(B,A,A) -> k4_eqrel_1(A,B,C) = k4_eqrel_1(A,C,B))) # label(commutativity_k4_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3892 (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) & m2_relset_1(C,A,A) & v1_partfun1(C,A,A) & v8_relat_2(C) -> -(k1_eqrel_1(A) != B & C != k1_eqrel_1(A) & k1_eqrel_1(A) = k3_eqrel_1(A,B,C)))))) # label(t38_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3893 (all A (v1_relat_1(k1_eqrel_1(A)) & v1_partfun1(k1_eqrel_1(A),A,A) & v1_relat_2(k1_eqrel_1(A)))) # label(fc1_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3894 (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].
11.80/11.47	3895 (all A all B (v3_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v8_relat_2(B) -> ((exists C k6_eqrel_1(A,B,C) = A) -> B = k1_eqrel_1(A)))) # label(t35_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3896 $T # label(t39_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3897 (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) -> k5_eqrel_1(A,C,B) = k5_eqrel_1(A,B,C))))) # label(t23_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3898 $T # label(t9_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3899 (all A all B (m1_eqrel_1(B,A) -> v1_setfam_1(B))) # label(cc2_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3900 (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].
11.80/11.47	3901 (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 (v3_relat_2(C) & v8_relat_2(C) & m2_relset_1(C,A,A) & v1_partfun1(C,A,A) -> k4_eqrel_1(A,B,k5_eqrel_1(A,B,C)) = B)))) # label(t24_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3902 (all A all B (m1_eqrel_1(B,A) -> (exists C (v1_partfun1(C,A,A) & B = k7_eqrel_1(A,C) & m2_relset_1(C,A,A) & v8_relat_2(C) & v3_relat_2(C))))) # label(t43_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3903 (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].
11.80/11.47	3904 (all A all B all C (m1_relset_1(B,A,A) & m1_relset_1(C,A,A) -> B = k2_eqrel_1(A,B,B))) # label(idempotence_k2_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3905 $T # label(t21_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3906 (all A all B all C (v8_relat_2(B) & v1_partfun1(B,A,A) & m1_relset_1(B,A,A) & v8_relat_2(C) & m1_relset_1(C,A,A) & v1_partfun1(C,A,A) & v3_relat_2(C) & 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].
11.80/11.47	3907 (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].
11.80/11.47	3908 (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].
11.80/11.47	3909 $T # label(t26_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3910 (all A all B (v8_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) -> m1_eqrel_1(k7_eqrel_1(A,B),A))) # label(t42_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3911 (all A (r3_relat_2(k6_partfun1(A),A) & r8_relat_2(k6_partfun1(A),A) & r1_relat_2(k6_partfun1(A),A))) # label(t4_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3912 $T # label(t41_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3913 (all A all B all C all D (v1_partfun1(D,A,A) & m2_relset_1(D,A,A) & v3_relat_2(D) & 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].
11.80/11.47	3914 (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 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].
11.80/11.47	3915 (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].
11.80/11.47	3916 (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].
11.80/11.47	3917 $T # label(t3_eqrel_1) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3918 (all A (v3_relat_2(k1_eqrel_1(A)) & v1_partfun1(k1_eqrel_1(A),A,A) & v8_relat_2(k1_eqrel_1(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].
11.80/11.47	3919 (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(B)) <-> (exists D exists E (v1_relat_1(E) & v1_funct_1(E) & (exists F (r2_hidden(F,k1_relat_1(E)) & k1_funct_1(A,D) = E & r2_hidden(D,k1_relat_1(A)) & C = k4_tarski(D,F))))))) & (all C all D (v1_funct_1(D) & v1_relat_1(D) -> (r2_hidden(C,k1_relat_1(B)) & k1_funct_1(A,k1_mcart_1(C)) = D -> k1_funct_1(D,k2_mcart_1(C)) = k1_funct_1(B,C)))) <-> B = k4_funct_5(A)))))) # label(d4_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3920 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (k3_funct_5(C) = k3_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)) -> D = C))))) # label(t59_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3921 (all A (v1_funct_1(A) & v1_relat_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)))) -> k4_funct_5(A) = k1_xboole_0 & k1_xboole_0 = k6_funct_5(A)))) # label(t35_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3922 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (r2_hidden(A,k1_relat_1(k5_funct_5(B))) -> v1_funct_1(k1_funct_1(k5_funct_5(B),A)) & v1_relat_1(k1_funct_1(k5_funct_5(B),A))))) # label(t40_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3923 (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)) -> C = k6_funct_5(k5_funct_5(C)) & C = k4_funct_5(k3_funct_5(C))))) # label(t57_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3924 $T # label(t25_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3925 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (k1_relat_1(D) = k2_zfmisc_1(A,B) & k5_funct_5(D) = k5_funct_5(C) & k2_zfmisc_1(A,B) = k1_relat_1(C) -> C = D))))) # label(t52_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3926 (all A all B (r1_tarski(A,B) -> r1_tarski(k2_funct_5(A),k2_funct_5(B)) & r1_tarski(k1_funct_5(A),k1_funct_5(B)))) # label(t5_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3927 (all A (k1_funct_5(A) = k1_xboole_0 | k2_funct_5(A) = k1_xboole_0 -> (all B all C -r2_hidden(k4_tarski(B,C),A)))) # label(t18_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3928 (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].
11.80/11.47	3929 (all A all B all C (r1_xboole_0(A,B) -> 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)) & r2_wellord2(k1_funct_2(k2_xboole_0(A,B),C),k2_zfmisc_1(k1_funct_2(A,C),k1_funct_2(B,C))))) # label(t69_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3930 (all A all B all C all D (k2_funct_5(k2_tarski(k4_tarski(A,B),k4_tarski(C,D))) = k2_tarski(B,D) & k2_tarski(A,C) = k1_funct_5(k2_tarski(k4_tarski(A,B),k4_tarski(C,D))))) # label(t16_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3931 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (k4_funct_5(C) = k4_funct_5(D) & r1_tarski(k2_relat_1(D),k1_funct_2(A,B)) & r1_tarski(k2_relat_1(C),k1_funct_2(A,B)) -> C = D | A = k1_xboole_0))))) # label(t53_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3932 (all A (v1_relat_1(A) & v1_funct_1(A) -> r1_tarski(k2_relat_1(k3_funct_5(A)),k4_partfun1(k2_funct_5(k1_relat_1(A)),k2_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))))) # label(t43_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3933 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (k1_relat_1(C) = k2_zfmisc_1(A,B) -> k2_zfmisc_1(A,B) = k1_xboole_0 | k1_relat_1(k3_funct_5(C)) = A & B = k1_relat_1(k5_funct_5(C))))) # label(t31_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3934 (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].
11.80/11.47	3935 (all A k1_tarski(k1_xboole_0) = k1_funct_2(k1_xboole_0,A)) # label(t64_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3936 $T # label(t14_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3937 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(k2_relat_1(C),k4_partfun1(A,B)) -> r2_hidden(k1_xboole_0,k2_relat_1(C)) | k5_funct_5(k6_funct_5(C)) = C & k3_funct_5(k4_funct_5(C)) = C))) # label(t58_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3938 (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].
11.80/11.47	3939 (all A ((all B all C -r2_hidden(k4_tarski(B,C),A)) -> k1_funct_5(A) = k1_xboole_0 & k2_funct_5(A) = k1_xboole_0)) # label(t17_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3940 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(k4_tarski(A,B),k1_relat_1(C)) -> v1_funct_1(k1_funct_1(k5_funct_5(C),B)) & v1_relat_1(k1_funct_1(k5_funct_5(C),B)) & r2_hidden(B,k1_relat_1(k5_funct_5(C)))))) # label(t28_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3941 (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(k2_zfmisc_1(A,B),C)) = k1_card_1(k1_funct_2(A,k1_funct_2(B,C))))) # label(t70_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3942 (all A all B all 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))) & k1_card_1(k2_zfmisc_1(k1_funct_2(A,B),k1_funct_2(A,C))) = k1_card_1(k1_funct_2(A,k2_zfmisc_1(B,C))))) # label(t71_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3943 (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(k3_funct_5(B),A) = C & r2_hidden(A,k1_relat_1(k3_funct_5(B))) -> k1_relat_1(C) = k2_funct_5(k3_xboole_0(k1_relat_1(B),k2_zfmisc_1(k1_tarski(A),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))) & r1_tarski(k1_relat_1(C),k2_funct_5(k1_relat_1(B)))))))) # label(t38_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3944 (all A (v1_relat_1(A) -> k1_funct_5(A) = k1_relat_1(A) & k2_relat_1(A) = k2_funct_5(A))) # label(t21_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3945 (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(C) = k3_funct_5(D) & k2_zfmisc_1(A,B) = k1_relat_1(D) & k2_zfmisc_1(A,B) = k1_relat_1(C) -> C = D))))) # label(t51_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3946 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (k2_zfmisc_1(A,B) = k1_relat_1(C) -> r1_tarski(k2_relat_1(k5_funct_5(C)),k1_funct_2(A,k2_relat_1(C))) & r1_tarski(k2_relat_1(k3_funct_5(C)),k1_funct_2(B,k2_relat_1(C)))))) # label(t42_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3947 (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].
11.80/11.47	3948 (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].
11.80/11.47	3949 $T # label(t2_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3950 (all A all B (r2_wellord2(A,k1_funct_2(k1_tarski(B),A)) & k1_card_1(k1_funct_2(k1_tarski(B),A)) = k1_card_1(A))) # label(t65_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3951 (all A all B all C all D (k1_card_1(A) = k1_card_1(B) & k1_card_1(D) = k1_card_1(C) -> k1_card_1(k1_funct_2(A,C)) = k1_card_1(k1_funct_2(B,D)))) # label(t68_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3952 (all A all B all C all D (v1_funct_1(D) & v1_relat_1(D) -> -(r2_hidden(C,B) & (all E (v1_relat_1(E) & v1_funct_1(E) -> -(r1_tarski(k2_relat_1(E),k2_relat_1(D)) & (all F (r2_hidden(F,A) -> k1_funct_1(E,F) = k1_funct_1(D,k4_tarski(F,C)))) & A = k1_relat_1(E) & k1_funct_1(k5_funct_5(D),C) = E))) & k2_zfmisc_1(A,B) = k1_relat_1(D) & k2_zfmisc_1(A,B) != k1_xboole_0))) # label(t39_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3953 (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)) -> r2_hidden(k1_funct_1(D,B),k2_relat_1(k4_funct_5(C))) & k1_funct_1(D,B) = k1_funct_1(k4_funct_5(C),k4_tarski(A,B)) & r2_hidden(k4_tarski(A,B),k1_relat_1(k4_funct_5(C)))))))) # label(t45_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3954 (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].
11.80/11.47	3955 (all A all B all C (r1_tarski(A,k2_zfmisc_1(B,C)) -> r1_tarski(k2_funct_5(A),C) & r1_tarski(k1_funct_5(A),B))) # label(t13_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3956 (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(k1_relat_1(k4_funct_5(C)),k2_zfmisc_1(k1_relat_1(C),A)) & r1_tarski(k1_relat_1(k6_funct_5(C)),k2_zfmisc_1(A,k1_relat_1(C)))))) # label(t44_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3957 (all A all B (-(k1_xboole_0 = k2_zfmisc_1(A,B) & k2_zfmisc_1(B,A) = k1_xboole_0 & A = k1_xboole_0) -> k1_funct_5(k2_zfmisc_1(B,A)) = B & B = k2_funct_5(k2_zfmisc_1(A,B)))) # label(t11_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3958 (all A all B all C (A != B -> k1_card_1(k1_zfmisc_1(C)) = k1_card_1(k1_funct_2(C,k2_tarski(A,B))) & r2_wellord2(k1_funct_2(C,k2_tarski(A,B)),k1_zfmisc_1(C)))) # label(t72_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3959 (all A all B (k2_xboole_0(k1_funct_5(A),k1_funct_5(B)) = k1_funct_5(k2_xboole_0(A,B)) & k2_xboole_0(k2_funct_5(A),k2_funct_5(B)) = k2_funct_5(k2_xboole_0(A,B)))) # label(t6_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3960 (all A all B all C all D (r2_wellord2(C,D) & r2_wellord2(A,B) -> 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].
11.80/11.47	3961 $T # label(t22_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3962 (all A (v1_relat_1(A) & v1_funct_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].
11.80/11.47	3963 (all A all B all C (r2_hidden(k4_tarski(A,B),C) -> r2_hidden(A,k1_funct_5(C)) & r2_hidden(B,k2_funct_5(C)))) # label(t4_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3964 (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(k1_relat_1(D),k2_zfmisc_1(A,B)) & k5_funct_5(C) = k5_funct_5(D) & r1_tarski(k1_relat_1(C),k2_zfmisc_1(A,B)) -> C = D))))) # label(t60_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3965 (all A all B (k1_tarski(A) = k1_funct_5(k1_tarski(k4_tarski(A,B))) & k2_funct_5(k1_tarski(k4_tarski(A,B))) = k1_tarski(B))) # label(t15_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3966 (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_funct_5(B))) & C = k1_funct_1(k5_funct_5(B),A) -> k1_funct_5(k3_xboole_0(k1_relat_1(B),k2_zfmisc_1(k1_funct_5(k1_relat_1(B)),k1_tarski(A)))) = k1_relat_1(C) & (all D (r2_hidden(D,k1_relat_1(C)) -> r2_hidden(k4_tarski(D,A),k1_relat_1(B)) & k1_funct_1(B,k4_tarski(D,A)) = k1_funct_1(C,D))) & r1_tarski(k2_relat_1(C),k2_relat_1(B)) & r1_tarski(k1_relat_1(C),k1_funct_5(k1_relat_1(B)))))))) # label(t41_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3967 (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)) -> k2_zfmisc_1(k1_relat_1(C),A) = k1_relat_1(k4_funct_5(C)) & k2_zfmisc_1(A,k1_relat_1(C)) = k1_relat_1(k6_funct_5(C))))) # label(t33_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3968 (all A (v1_relat_1(A) & v1_funct_1(A) -> k3_funct_5(k2_funct_4(A)) = k5_funct_5(A))) # label(d5_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3969 (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].
11.80/11.47	3970 (exists A (v1_relat_1(A) & v1_funct_1(A) & (all B (v1_relat_1(B) & v1_funct_1(B) -> (r2_hidden(B,f1_s1_funct_5) -> f2_s1_funct_5(B) = k1_funct_1(A,B)))) & f1_s1_funct_5 = k1_relat_1(A))) # label(s1_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3971 (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(k1_funct_2(k2_tarski(A,B),C)) = k1_card_1(k2_zfmisc_1(C,C)))) # label(t73_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3972 (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].
11.80/11.47	3973 (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].
11.80/11.47	3974 (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)) & r1_tarski(k2_relat_1(D),k1_funct_2(A,B)) & k6_funct_5(D) = k6_funct_5(C) -> A = k1_xboole_0 | D = C))))) # label(t54_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3975 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (r2_hidden(A,k1_relat_1(k3_funct_5(B))) -> v1_funct_1(k1_funct_1(k3_funct_5(B),A)) & v1_relat_1(k1_funct_1(k3_funct_5(B),A))))) # label(t37_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3976 (all A (v1_funct_1(A) & v1_relat_1(A) -> ((all B all C -r2_hidden(k4_tarski(B,C),k1_relat_1(A))) -> k1_xboole_0 = k5_funct_5(A) & k1_xboole_0 = k3_funct_5(A)))) # label(t34_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3977 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (k3_funct_5(A) = B <-> k1_funct_5(k1_relat_1(A)) = k1_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) -> -(k1_relat_1(D) = k2_funct_5(k3_xboole_0(k1_relat_1(A),k2_zfmisc_1(k1_tarski(C),k2_funct_5(k1_relat_1(A))))) & (all E (r2_hidden(E,k1_relat_1(D)) -> k1_funct_1(D,E) = k1_funct_1(A,k4_tarski(C,E)))) & k1_funct_1(B,C) = D)))))))))) # label(d3_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3978 (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(B,A),k1_relat_1(k6_funct_5(C))) & k1_funct_1(D,B) = k1_funct_1(k6_funct_5(C),k4_tarski(B,A)) & r2_hidden(k1_funct_1(D,B),k2_relat_1(k6_funct_5(C)))))))) # label(t46_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3979 (all A (v1_relat_1(A) & v1_funct_1(A) -> v1_funct_1(k5_funct_5(A)) & v1_relat_1(k5_funct_5(A)))) # label(dt_k5_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3980 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(k4_tarski(A,B),k1_relat_1(C)) -> v1_funct_1(k1_funct_1(k3_funct_5(C),A)) & v1_relat_1(k1_funct_1(k3_funct_5(C),A)) & r2_hidden(A,k1_relat_1(k3_funct_5(C)))))) # label(t26_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3981 $T # label(t3_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3982 (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].
11.80/11.47	3983 (all A all B (B = k1_funct_5(A) <-> (all C (r2_hidden(C,B) <-> (exists D r2_hidden(k4_tarski(C,D),A)))))) # label(d1_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3984 (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(k2_relat_1(D),k4_partfun1(A,B)) & k6_funct_5(C) = k6_funct_5(D) & r1_tarski(k2_relat_1(C),k4_partfun1(A,B)) -> D = C | 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].
11.80/11.47	3985 (all A (v1_funct_1(A) & v1_relat_1(A) -> k1_funct_5(k1_relat_1(A)) = k2_funct_5(k1_relat_1(k2_funct_4(A))) & k2_funct_5(k1_relat_1(A)) = k1_funct_5(k1_relat_1(k2_funct_4(A))))) # label(t20_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3986 (all A (k2_funct_5(A) = k1_xboole_0 <-> k1_funct_5(A) = k1_xboole_0)) # label(t19_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3987 (all A all B all C all D (v1_relat_1(D) & v1_funct_1(D) -> -(k1_relat_1(D) = k2_zfmisc_1(A,B) & r2_hidden(C,A) & (all E (v1_relat_1(E) & v1_funct_1(E) -> -(B = k1_relat_1(E) & (all F (r2_hidden(F,B) -> k1_funct_1(E,F) = k1_funct_1(D,k4_tarski(C,F)))) & r1_tarski(k2_relat_1(E),k2_relat_1(D)) & E = k1_funct_1(k3_funct_5(D),C)))) & k1_xboole_0 != k2_zfmisc_1(A,B)))) # label(t36_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3988 (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)) -> k1_xboole_0 = A | k3_funct_5(k4_funct_5(C)) = C & k5_funct_5(k6_funct_5(C)) = C))) # label(t55_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3989 (all A (v1_relat_1(A) & v1_funct_1(A) -> k6_funct_5(A) = k2_funct_4(k4_funct_5(A)))) # label(d6_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3990 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (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(t56_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3991 $T # label(dt_k2_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3992 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (r2_hidden(k4_tarski(A,B),k1_relat_1(C)) & D = k1_funct_1(k3_funct_5(C),A) -> k1_funct_1(C,k4_tarski(A,B)) = k1_funct_1(D,B) & r2_hidden(B,k1_relat_1(D))))))) # label(t27_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3993 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (k4_funct_5(C) = k4_funct_5(D) & r1_tarski(k2_relat_1(D),k4_partfun1(A,B)) & r1_tarski(k2_relat_1(C),k4_partfun1(A,B)) -> r2_hidden(k1_xboole_0,k2_relat_1(C)) | D = C | r2_hidden(k1_xboole_0,k2_relat_1(D))))))) # label(t61_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3994 (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].
11.80/11.47	3995 $T # label(dt_k1_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3996 $T # label(t23_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3997 (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].
11.80/11.47	3998 (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(k4_tarski(A,B),k1_relat_1(C)) & D = k1_funct_1(k5_funct_5(C),B) -> r2_hidden(A,k1_relat_1(D)) & k1_funct_1(C,k4_tarski(A,B)) = k1_funct_1(D,A)))))) # label(t29_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	3999 (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].
11.80/11.47	4000 $T # label(t24_funct_5) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	4001 (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 (m2_finseq_1(E,A) -> (all F (m2_finseq_1(F,B) -> k3_funcop_1(D,k6_finseq_1(A),F) = k6_finseq_1(C) & k6_finseq_1(C) = k3_funcop_1(D,E,k6_finseq_1(B)))))))))))))) # label(t87_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	4002 (all A (v4_ordinal2(A) -> k2_finseq_1(A) = k4_finseq_1(k1_finseq_2(A)))) # label(t54_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	4003 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(B) -> (all C (m2_finseq_1(C,B) -> m2_finseq_1(C,A))))))) # label(t27_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	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].
11.80/11.47	4005 (all A k13_finseq_1(A) = k3_finseq_2(A)) # label(redefinition_k3_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	4006 (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_funct_2(E,k2_zfmisc_1(A,B),C) & m2_relset_1(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].
11.80/11.47	4007 (all A all B (-v1_xboole_0(B) & m1_finseq_2(B,A) -> r1_tarski(B,k3_finseq_2(A)))) # label(t105_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	4008 (all A all B (v4_ordinal2(A) -> v1_relat_1(k2_finseq_2(A,B)) & v1_finseq_1(k2_finseq_2(A,B)) & v1_funct_1(k2_finseq_2(A,B)))) # label(dt_k2_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	4009 (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) & m2_relset_1(E,B,C) & v1_funct_2(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].
11.80/11.47	4010 (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].
11.80/11.47	4011 (all A exists B (m1_finseq_2(B,A) & -v1_xboole_0(B))) # label(rc1_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	4012 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C all D (r2_hidden(B,k1_relat_1(A)) & r2_hidden(D,k1_relat_1(A)) & r2_hidden(C,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].
11.80/11.47	4013 (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) -> k8_finseq_1(A,C,k12_finseq_1(A,D)) != B))))))))) # label(t22_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	4014 (all A k2_finseq_2(np__2,A) = k10_finseq_1(A,A)) # label(t75_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	4015 (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)) -> k5_relat_1(k10_finseq_1(B,C),A) = k10_finseq_1(k1_funct_1(A,B),k1_funct_1(A,C)))))) # label(t145_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.80/11.47	4016 (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_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,B) -> (I = k11_finseq_1(E,F,G) -> 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].
11.83/11.47	4017 (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].
11.83/11.47	4018 (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)) -> A != np__0 & np__0 = B | v1_relat_1(k5_relat_1(D,C)) & v1_finseq_1(k5_relat_1(D,C)) & v1_funct_1(k5_relat_1(D,C))))))))))) # label(t42_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.47	4019 (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].
11.83/11.47	4020 (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_2(D,k2_finseq_1(A),k2_finseq_1(A)) & m2_relset_1(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].
11.83/11.47	4021 (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].
11.83/11.47	4022 (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].
11.83/11.47	4023 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B k2_finseq_2(k1_nat_1(A,np__1),B) = k7_finseq_1(k2_finseq_2(A,B),k9_finseq_1(B))))) # label(t74_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.47	4024 (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 (v1_funct_1(C) & m2_relset_1(C,k4_finseq_1(A),k4_finseq_1(A)) & v3_funct_2(C,k4_finseq_1(A),k4_finseq_1(A)) & v1_funct_2(C,k4_finseq_1(A),k4_finseq_1(A)) -> (k5_relat_1(C,A) = B -> k3_finseq_1(A) = k3_finseq_1(B)))))))) # label(t48_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.47	4025 (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].
11.83/11.47	4026 (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].
11.83/11.47	4027 (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].
11.83/11.47	4028 (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].
11.83/11.47	4029 (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].
11.83/11.47	4030 (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].
11.83/11.47	4031 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_finseq_1(A),B) & v1_funct_2(C,k2_finseq_1(A),B) -> m2_finseq_1(C,B))))))) # label(t28_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4032 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> k4_finseq_2(A,B) = k1_funct_2(k2_finseq_1(A),B))))) # label(t111_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4033 (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)) -> k2_finseq_1(A) = k4_finseq_1(C))))))) # label(t144_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4034 (all A all B all C (v4_ordinal2(B) -> ((exists D (m2_finseq_2(D,C,k3_finseq_2(C)) & k3_finseq_1(D) = B & D = A)) <-> r2_hidden(A,a_2_0_finseq_2(B,C))))) # label(fraenkel_a_2_0_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4035 (all A (v4_ordinal2(A) -> (all B A = k3_finseq_1(k2_finseq_2(A,B))))) # label(t69_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4036 (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 & k8_finseq_1(B,C,D) = D)))))))) # label(t115_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4037 $T # label(t29_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4038 (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].
11.83/11.48	4039 (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_relat_1(C) -> (r1_tarski(k2_zfmisc_1(k2_relat_1(A),k2_relat_1(B)),k1_relat_1(C)) -> v1_finseq_1(k3_funcop_1(C,A,B)) & v1_funct_1(k3_funcop_1(C,A,B)) & v1_relat_1(k3_funcop_1(C,A,B))))))))) # label(t78_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4040 (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].
11.83/11.48	4041 $T # label(t12_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4042 (all A (-v1_xboole_0(A) -> k3_finseq_2(A) = k3_tarski(a_1_3_finseq_2(A)))) # label(t128_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4043 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (B = k2_finseq_1(A) -> (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].
11.83/11.48	4044 (all A all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> -(r2_hidden(A,k2_relat_1(B)) & (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> -(A = k1_funct_1(B,C) & r2_hidden(C,k4_finseq_1(B)))))))) # label(t11_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4045 (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_funct_1(E) & v1_finseq_1(E) & v1_relat_1(E) -> (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,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].
11.83/11.48	4046 (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].
11.83/11.48	4047 (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].
11.83/11.48	4048 (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_finseq_1(C) & v1_funct_1(C) & v1_relat_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].
11.83/11.48	4049 (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) -> (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].
11.83/11.48	4050 (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,A) -> (G = k12_finseq_1(A,D) -> k12_finseq_1(C,k2_binop_1(A,B,C,F,D,E)) = k4_funcop_1(F,G,E)))))))))))))))) # label(t100_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4051 (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 (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) -> (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].
11.83/11.48	4052 (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].
11.83/11.48	4053 (all A (v4_ordinal2(A) -> k1_finseq_2(A) = k6_partfun1(k2_finseq_1(A)))) # label(d1_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4054 (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_2(E,k2_zfmisc_1(A,B),C) & m2_relset_1(E,k2_zfmisc_1(A,B),C) & v1_funct_1(E) -> (all F (m2_finseq_1(F,A) -> (all G (m2_finseq_1(G,B) -> (k3_funcop_1(E,F,G) = D & k3_finseq_1(G) = k3_finseq_1(F) -> k3_finseq_1(F) = k3_finseq_1(D) & k3_finseq_1(G) = k3_finseq_1(D)))))))))))))))) # label(t86_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4055 (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_finseq_1(k5_relat_1(C,B)) & v1_funct_1(k5_relat_1(C,B))))))))) # label(t43_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4056 (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].
11.83/11.48	4057 $T # label(t108_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4058 (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 -> k5_subset_1(k5_numbers,k2_finseq_1(B),k2_finseq_1(C)) = k2_finseq_1(A)))))))) # label(t2_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4059 (all A all B all C (m2_finseq_1(C,A) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> m2_finseq_1(k1_partfun1(k5_numbers,A,A,B,C,D),B))))) # label(t36_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4060 (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 (m2_relset_1(F,C,D) & v1_funct_2(F,C,D) & v1_funct_1(F) -> (E = k10_finseq_1(A,B) -> k10_finseq_1(k1_funct_1(F,A),k1_funct_1(F,B)) = k1_partfun1(k5_numbers,C,C,D,E,F)))))))))) # label(t40_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4061 (all A (v4_ordinal2(A) -> A = k3_finseq_1(k1_finseq_2(A)))) # label(t55_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4062 (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].
11.83/11.48	4063 (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].
11.83/11.48	4064 (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(k1_nat_1(A,B),C) = a_3_0_finseq_2(A,B,C))))))) # label(t125_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4065 $T # label(t103_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4066 (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) -> k1_funct_1(k8_finseq_1(B,C,k12_finseq_1(B,D)),k1_nat_1(A,np__1)) = D)))))))) # label(t136_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4067 (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_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) -> A = B))))))) # label(t149_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4068 (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) -> -(k3_finseq_1(C) = k1_nat_1(A,B) & (all D (v1_finseq_1(D) & v1_funct_1(D) & v1_relat_1(D) -> (all E (v1_finseq_1(E) & v1_funct_1(E) & v1_relat_1(E) -> -(k3_finseq_1(E) = B & C = k7_finseq_1(D,E) & A = k3_finseq_1(D))))))))))))) # label(t25_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4069 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> k1_finseq_2(k1_nat_1(A,np__1)) = k7_finseq_1(k1_finseq_2(A),k12_finseq_1(k5_numbers,k1_nat_1(A,np__1))))) # label(t60_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4070 (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) -> (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].
11.83/11.48	4071 (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(A,C) = k4_finseq_2(B,C) -> A = B))))))) # label(t130_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4072 (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].
11.83/11.48	4073 (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 (v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,C),D) & m2_relset_1(E,k2_zfmisc_1(B,C),D) -> (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].
11.83/11.48	4074 (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 (m1_subset_1(E,B) & k8_finseq_1(B,D,k12_finseq_1(B,E)) = C)) & m2_finseq_2(D,B,k4_finseq_2(A,B)))))))))) # label(t137_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4075 (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].
11.83/11.48	4076 (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_funct_1(C) & v1_finseq_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].
11.83/11.48	4077 $T # label(dt_m1_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4078 $T # label(t106_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4079 (all A exists B m1_finseq_2(B,A)) # label(existence_m1_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4080 (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_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,B) -> m2_finseq_1(k5_funcop_1(E,D,F),C))))))))))))) # label(t91_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4081 (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].
11.83/11.48	4082 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_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].
11.83/11.48	4083 (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].
11.83/11.48	4084 (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) -> (k5_relat_1(A,C) = B & r1_tarski(k2_relat_1(A),k1_relat_1(C)) -> k3_finseq_1(B) = k3_finseq_1(A)))))))) # label(t33_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4085 (all A (-v1_xboole_0(A) -> (all B (m2_finseq_1(B,A) -> v1_funct_2(B,k4_finseq_1(B),A) & m2_relset_1(B,k4_finseq_1(B),A) & v1_funct_1(B))))) # label(t30_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4086 (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].
11.83/11.48	4087 (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].
11.83/11.48	4088 (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) & v3_funct_2(D,k2_finseq_1(A),k2_finseq_1(A)) & m2_relset_1(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)) & C = k5_relat_1(D,B) -> k3_finseq_1(C) = A))))))))) # label(t47_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4089 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (A != np__0 -> (all B (m1_subset_1(B,k2_finseq_1(A)) -> k1_funct_1(k1_finseq_2(A),B) = B))))) # label(t57_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4090 $T # label(t7_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4091 (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) -> (all H (m2_finseq_1(H,B) -> (k12_finseq_1(A,D) = G & H = k12_finseq_1(B,E) -> 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].
11.83/11.48	4092 (all A all B (-v1_xboole_0(B) -> (r2_hidden(A,a_1_0_finseq_2(B)) <-> (exists C (k12_finseq_1(B,C) = A & m1_subset_1(C,B)))))) # label(fraenkel_a_1_0_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4093 (all A all B all C (v1_funct_1(C) & v1_finseq_1(C) & v1_relat_1(C) -> (all D (v1_finseq_1(D) & v1_funct_1(D) & v1_relat_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].
11.83/11.48	4094 (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].
11.83/11.48	4095 (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) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (C = k3_funcop_1(D,A,B) & r1_tarski(k2_zfmisc_1(k2_relat_1(A),k2_relat_1(B)),k1_relat_1(D)) -> 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].
11.83/11.48	4096 (all A all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(k2_zfmisc_1(k1_tarski(A),k2_relat_1(B)),k1_relat_1(C)) -> v1_relat_1(k5_funcop_1(C,A,B)) & v1_finseq_1(k5_funcop_1(C,A,B)) & v1_funct_1(k5_funcop_1(C,A,B))))))) # label(t80_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4097 (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) & 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) -> (all J (m2_finseq_1(J,B) -> (I = k10_finseq_1(D,E) & J = k10_finseq_1(F,G) -> k3_funcop_1(H,I,J) = k10_finseq_1(k2_binop_1(A,B,C,H,D,F),k2_binop_1(A,B,C,H,E,G))))))))))))))))))))))) # label(t89_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4098 (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) -> (r1_xreal_0(k3_finseq_1(C),A) & B = k7_relat_1(C,k2_finseq_1(A)) -> C = B))))))) # label(t23_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4099 (all A (v4_ordinal2(A) -> (all B k4_finseq_1(k2_finseq_2(A,B)) = k2_finseq_1(A)))) # label(t68_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4100 (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_2(G,k2_zfmisc_1(A,B),C) & m2_relset_1(G,k2_zfmisc_1(A,B),C) & v1_funct_1(G) -> (all H (m2_finseq_1(H,A) -> (k10_finseq_1(D,E) = H -> k4_funcop_1(G,H,F) = k10_finseq_1(k2_binop_1(A,B,C,G,D,F),k2_binop_1(A,B,C,G,E,F))))))))))))))))))) # label(t101_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4101 (all A (-v1_xboole_0(A) -> (all B (m2_finseq_2(B,A,k4_finseq_2(np__3,A)) -> (exists C ((exists D ((exists E (k11_finseq_1(C,D,E) = B & m1_subset_1(E,A))) & m1_subset_1(D,A))) & m1_subset_1(C,A))))))) # label(t123_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4102 (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].
11.83/11.48	4103 $T # label(t17_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4104 (all 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) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (r1_tarski(k2_zfmisc_1(k1_tarski(A),k2_relat_1(B)),k1_relat_1(D)) & C = k5_funcop_1(D,A,B) -> k3_finseq_1(C) = k3_finseq_1(B)))))))) # label(t81_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4105 (all A all B (-v1_xboole_0(B) -> (all C (v1_finseq_1(C) & v1_funct_1(C) & v1_relat_1(C) -> (all D (m2_finseq_1(D,A) -> (all E (v1_funct_1(E) & m2_relset_1(E,A,B) & v1_funct_2(E,A,B) -> (k1_partfun1(k5_numbers,A,A,B,D,E) = C -> k3_finseq_1(D) = k3_finseq_1(C)))))))))) # label(t37_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4106 (all A all B (-v1_xboole_0(B) -> ((exists C exists D (m1_subset_1(C,B) & m1_subset_1(D,B) & A = k10_finseq_1(C,D))) <-> r2_hidden(A,a_1_1_finseq_2(B))))) # label(fraenkel_a_1_1_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4107 (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].
11.83/11.48	4108 (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].
11.83/11.48	4109 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> k3_square_1(np__0,A) = np__0 & k3_square_1(A,np__0) = np__0 & k4_square_1(A,np__0) = A & A = k4_square_1(np__0,A))) # label(t6_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4110 (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_finseq_1(C) & v1_funct_1(C) & v1_relat_1(C) -> (all D B != k7_finseq_1(C,k9_finseq_1(D))))) & k1_nat_1(A,np__1) = k3_finseq_1(B)))))) # label(t21_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4111 (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,B) -> (G = k12_finseq_1(B,E) -> k12_finseq_1(C,k2_binop_1(A,B,C,F,D,E)) = k5_funcop_1(F,D,G)))))))))))))))) # label(t94_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4112 (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].
11.83/11.48	4113 (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_finseq_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,A) -> (k4_funcop_1(F,G,D) = E -> k3_finseq_1(E) = k3_finseq_1(G)))))))))))))))) # label(t98_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4114 $T # label(t53_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4115 (all A all B (m1_subset_1(B,k4_finseq_2(np__0,A)) -> k6_finseq_1(A) = B)) # label(t113_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4116 (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)))))))) & p1_s2_finseq_2(k6_finseq_1(f1_s2_finseq_2)) -> (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].
11.83/11.48	4117 (all A all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> (all C (v1_finseq_1(C) & v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (C = k4_funcop_1(D,B,A) & r1_tarski(k2_zfmisc_1(k2_relat_1(B),k1_tarski(A)),k1_relat_1(D)) -> k3_finseq_1(B) = k3_finseq_1(C)))))))) # label(t83_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4118 (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].
11.83/11.48	4119 (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].
11.83/11.48	4120 $T # label(t67_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4121 (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_2(G,k2_zfmisc_1(A,B),C) & m2_relset_1(G,k2_zfmisc_1(A,B),C) & v1_funct_1(G) -> (all H (m2_finseq_1(H,B) -> (k10_finseq_1(E,F) = H -> 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].
11.83/11.48	4122 (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_1(G) & m2_relset_1(G,D,E) & v1_funct_2(G,D,E) -> (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].
11.83/11.48	4123 (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 -> 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)) = k4_funcop_1(H,I,G)))))))))))))))))))) # label(t102_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4124 (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].
11.83/11.48	4125 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_finseq_1(C) & v1_relat_1(C) -> (all D (v1_funct_2(D,k5_numbers,B) & m2_relset_1(D,k5_numbers,B) & v1_funct_1(D) -> (k2_partfun1(k5_numbers,B,D,k2_finseq_1(A)) = C -> A = k3_finseq_1(C)))))))))) # label(t32_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4126 (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].
11.83/11.48	4127 (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].
11.83/11.48	4128 (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(k2_relat_1(B),k1_tarski(A)),k1_relat_1(C)) -> v1_relat_1(k4_funcop_1(C,B,A)) & v1_funct_1(k4_funcop_1(C,B,A)) & v1_finseq_1(k4_funcop_1(C,B,A))))))) # label(t82_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4129 (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(C,B) & m1_subset_1(D,B) & A = k11_finseq_1(C,D,E) & m1_subset_1(E,B)))))) # label(fraenkel_a_1_2_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4130 (all A all B all C k2_relat_1(k11_finseq_1(A,B,C)) = k1_enumset1(A,B,C)) # label(t148_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4131 (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].
11.83/11.48	4132 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (B = k2_finseq_1(A) -> (all C (v1_finseq_1(C) & v1_funct_1(C) & v1_relat_1(C) -> (all D (m2_finseq_1(D,B) -> (r1_xreal_0(A,k3_finseq_1(C)) -> v1_relat_1(k5_relat_1(D,C)) & v1_finseq_1(k5_relat_1(D,C)) & v1_funct_1(k5_relat_1(D,C)))))))))))) # label(t34_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4133 (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].
11.83/11.48	4134 (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 (m2_finseq_2(E,C,k4_finseq_2(A,C)) & (exists F (m2_finseq_2(F,C,k4_finseq_2(B,C)) & k8_finseq_1(C,E,F) = D)))))))))))) # label(t126_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4135 (all A all B (-v1_xboole_0(B) & m1_finseq_2(B,A) -> (exists C m2_finseq_2(C,A,B)))) # label(existence_m2_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4136 (all A (v4_ordinal2(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,B) -> (np__0 != A -> (all D (m1_subset_1(D,k2_finseq_1(A)) -> k1_funct_1(k2_finseq_2(A,C),D) = C))))))))) # label(t71_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4137 (all A (-v1_xboole_0(A) -> k4_finseq_2(np__1,A) = a_1_0_finseq_2(A))) # label(t116_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4138 (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].
11.83/11.48	4139 (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) -> (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)))) -> B = C))))))) # label(t10_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4140 (all A (-v1_xboole_0(k3_finseq_2(A)) & m1_finseq_2(k3_finseq_2(A),A))) # label(dt_k3_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4141 (all A k11_finseq_1(A,A,A) = k2_finseq_2(np__3,A)) # label(t76_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4142 (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].
11.83/11.48	4143 (all A (-v1_xboole_0(A) -> (all B (m2_finseq_2(B,A,k4_finseq_2(np__2,A)) -> (exists C (m1_subset_1(C,A) & (exists D (B = k10_finseq_1(C,D) & m1_subset_1(D,A))))))))) # label(t120_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4144 (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_funct_1(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)) -> (k2_relat_1(C) = k4_finseq_1(A) & k5_relat_1(C,A) = B -> k3_finseq_1(B) = k3_finseq_1(A)))))))) # label(t46_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4145 (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) -> k5_relat_1(k1_finseq_2(A),B) = B))))) # label(t64_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4146 (all A (v4_ordinal2(A) -> (all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_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].
11.83/11.48	4147 (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_1(J) & m2_relset_1(J,k2_zfmisc_1(A,B),C) & v1_funct_2(J,k2_zfmisc_1(A,B),C) -> (all K (m2_finseq_1(K,A) -> (all L (m2_finseq_1(L,B) -> (k11_finseq_1(G,H,I) = L & K = k11_finseq_1(D,E,F) -> 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].
11.83/11.48	4148 (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) -> (k9_finseq_1(A) = D -> k1_partfun1(k5_numbers,B,B,C,D,E) = k9_finseq_1(k1_funct_1(E,A))))))))))) # label(t39_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4149 (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].
11.83/11.48	4150 (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].
11.83/11.48	4151 (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(B,A)) = k6_xcmplx_0(B,A)))))) # label(t4_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4152 (all A all B all C all D (m2_subset_1(B,k1_numbers,k5_numbers) & -v1_xboole_0(D) & m2_subset_1(C,k1_numbers,k5_numbers) -> (r2_hidden(A,a_3_0_finseq_2(B,C,D)) <-> (exists E exists F (m2_finseq_2(F,D,k4_finseq_2(C,D)) & k8_finseq_1(D,E,F) = A & m2_finseq_2(E,D,k4_finseq_2(B,D))))))) # label(fraenkel_a_3_0_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4153 (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].
11.83/11.48	4154 (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(k1_nat_1(B,np__1))) & k1_nat_1(B,np__1) != A & -r2_hidden(A,k2_finseq_1(B))))))) # label(t8_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4155 (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) & B = k3_finseq_1(F) & A = k3_finseq_1(E)))))) & k3_finseq_1(D) = k1_nat_1(A,B)))))))))) # label(t26_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4156 (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].
11.83/11.48	4157 (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 (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,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].
11.83/11.48	4158 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(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_relat_1(k5_relat_1(B,A)) & v1_finseq_1(k5_relat_1(B,A)) & v1_funct_1(k5_relat_1(B,A)))))) # label(t44_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4159 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_finseq_2(C,B) & -v1_xboole_0(C) -> m1_finseq_2(C,A) & -v1_xboole_0(C))))))) # label(t107_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4160 (all A k2_finseq_2(np__1,A) = k9_finseq_1(A)) # label(t73_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4161 (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) -> m2_finseq_1(k3_funcop_1(D,E,F),C))))))))))))) # label(t84_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4162 (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].
11.83/11.48	4163 (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) & 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)) -> 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].
11.83/11.48	4164 (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].
11.83/11.48	4165 (all A (v4_ordinal2(A) -> v1_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)) & v3_funct_2(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].
11.83/11.48	4166 (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].
11.83/11.48	4167 (all A k2_finseq_2(np__0,A) = k1_xboole_0) # label(t72_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4168 (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_1(E) & m2_relset_1(E,k2_finseq_1(A),k2_finseq_1(B)) & v1_funct_2(E,k2_finseq_1(A),k2_finseq_1(B)) -> (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 != A & B = np__0))))))))))) # label(t49_finseq_2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4169 (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].
11.83/11.48	4170 (all A k1_tarski(A) = k3_classes1(A,k1_xboole_0)) # label(t10_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4171 (all A exists B (v3_ordinal1(B) & r1_tarski(A,k4_classes1(B)))) # label(t69_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4172 (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].
11.83/11.48	4173 (all A (v1_ordinal1(A) -> v1_ordinal1(k1_classes1(A)))) # label(t27_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4174 (all A all B (v3_ordinal1(B) -> ((all C (r2_hidden(C,A) -> r2_hidden(k6_classes1(C),B))) <-> r1_ordinal1(k6_classes1(A),B)))) # label(t77_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4175 (all A k1_ordinal1(k6_classes1(A)) = k6_classes1(k1_zfmisc_1(A))) # label(t71_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4176 (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].
11.83/11.48	4177 (all A all B (k1_classes1(A) = B <-> r1_classes1(A,B) & (all C (r1_classes1(A,C) -> r1_tarski(B,C))))) # label(d4_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4178 (all A all B (v3_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))) = k3_classes1(A,k1_ordinal1(B)))) # label(t11_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4179 (all A (v3_ordinal1(A) -> (all B (r2_hidden(B,k4_classes1(A)) -> -r2_tarski(B,k4_classes1(A)) & r2_hidden(k1_card_1(B),k1_card_1(k4_classes1(A))))))) # label(t45_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4180 (all A (v3_ordinal1(A) -> r1_tarski(A,k4_classes1(A)))) # label(t44_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4181 (all A r2_hidden(A,k1_classes1(A))) # label(t5_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4182 (all A all B ((all C (v1_ordinal1(C) & r1_tarski(A,C) -> r1_tarski(B,C))) & r1_tarski(A,B) & v1_ordinal1(B) -> B = k5_classes1(A))) # label(t61_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4183 (all A (r2_hidden(k3_classes1(A,k1_xboole_0),k3_classes1(A,k4_ordinal2)) & k3_classes1(A,k4_ordinal2) != k3_classes1(A,k1_xboole_0))) # label(t26_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4184 (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].
11.83/11.48	4185 (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].
11.83/11.48	4186 (all A all B all C (v3_ordinal1(C) -> (r2_hidden(A,k3_classes1(B,k1_ordinal1(C))) <-> -((all D -(r2_hidden(D,k3_classes1(B,C)) & (A = k1_zfmisc_1(D) | r1_tarski(A,D)))) & -(r2_hidden(A,k1_classes1(B)) & r1_tarski(A,k3_classes1(B,C))))))) # label(t13_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4187 (all A -v1_xboole_0(k1_classes1(A))) # label(fc1_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4188 (all A all B (v3_ordinal1(B) -> (k3_classes1(A,B) = k3_classes1(A,k1_ordinal1(B)) -> k1_classes1(A) = k3_classes1(A,B)))) # label(t21_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4189 (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)) & k5_numbers = k1_relat_1(D) & A = k1_funct_1(D,np__0) & (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)))) & m2_subset_1(E,k1_numbers,k5_numbers))))))) <-> k5_classes1(A) = B)) # label(d7_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4190 (all A (v1_ordinal1(A) -> r1_tarski(k3_tarski(A),A))) # label(t54_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4191 (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].
11.83/11.48	4192 $T # label(t1_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4193 (all A (v3_ordinal1(A) -> k6_classes1(A) = A)) # label(t81_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4194 (all A all B all C all D (v3_ordinal1(D) -> (r2_hidden(B,k3_classes1(C,D)) & r1_tarski(A,B) -> r2_hidden(A,k3_classes1(C,k1_ordinal1(D)))))) # label(t14_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4195 (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].
11.83/11.48	4196 $T # label(dt_k4_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4197 (all A (v3_ordinal1(A) -> r1_tarski(k3_tarski(k4_classes1(A)),k4_classes1(A)))) # label(t40_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4198 (all A all B all C (v3_ordinal1(C) -> (v4_ordinal1(C) -> C = k1_xboole_0 | (r2_hidden(B,k3_classes1(A,C)) <-> (exists D (v3_ordinal1(D) & r2_hidden(D,C) & r2_hidden(B,k3_classes1(A,D)))))))) # label(t16_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4199 (all A (v1_ordinal1(A) -> (all B (v3_ordinal1(B) -> (B != k1_xboole_0 -> v1_ordinal1(k3_classes1(A,B))))))) # label(t25_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.48	4200 (all A v1_ordinal1(k5_classes1(A))) # label(t58_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4201 (all A all B (v3_ordinal1(B) -> (r1_tarski(A,k4_classes1(B)) <-> r1_ordinal1(k6_classes1(A),B)))) # label(t73_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4202 (all A r1_tarski(A,k5_classes1(A))) # label(t59_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4203 (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].
11.83/11.49	4204 (all A all B all C all D (v1_funct_1(C) & v5_ordinal1(C) & v3_ordinal1(D) & v1_relat_1(C) -> (r2_hidden(A,a_3_0_classes1(B,C,D)) <-> (exists E (m1_subset_1(E,k1_classes1(B)) & (exists F (m1_subset_1(F,k1_classes1(B)) & r2_hidden(F,k1_funct_1(C,D)) & r1_tarski(E,F))) & A = E))))) # label(fraenkel_a_3_0_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4205 (all A (v3_ordinal1(A) -> k6_classes1(k4_classes1(A)) = A)) # label(t72_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4206 (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].
11.83/11.49	4207 (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].
11.83/11.49	4208 (all A all B all C (v3_ordinal1(C) -> (r2_hidden(A,a_2_2_classes1(B,C)) <-> (exists D (m1_subset_1(D,k1_classes1(B)) & A = D & (exists E (v3_ordinal1(E) & r2_hidden(E,C) & r2_hidden(D,k3_classes1(B,E))))))))) # label(fraenkel_a_2_2_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4209 (all A all B (v3_ordinal1(B) -> (r2_hidden(A,k4_classes1(B)) <-> r2_hidden(k6_classes1(A),B)))) # label(t74_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4210 (all A all B (v3_ordinal1(B) -> (v4_ordinal1(B) -> B = k1_xboole_0 | a_2_2_classes1(A,B) = k3_classes1(A,B)))) # label(t12_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4211 (all A all B -(-r2_hidden(A,k1_classes1(B)) & -r2_tarski(A,k1_classes1(B)) & r1_tarski(A,k1_classes1(B)))) # label(t8_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4212 $T # label(dt_k1_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4213 (all A k5_classes1(A) = k5_classes1(k5_classes1(A))) # label(t66_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4214 (all A (v3_ordinal1(A) -> (v4_ordinal1(A) -> (all B (r2_hidden(B,k4_classes1(A)) <-> (exists C (r2_hidden(B,k4_classes1(C)) & r2_hidden(C,A) & v3_ordinal1(C))))) | A = k1_xboole_0))) # label(t35_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4215 (all A all B (v1_ordinal1(B) & r1_tarski(A,B) -> r1_tarski(k5_classes1(A),B))) # label(t60_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4216 (all A (v3_ordinal1(A) -> r1_tarski(k4_classes1(A),k4_classes1(k1_ordinal1(A))))) # label(t39_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4217 (all A (v3_ordinal1(A) -> (all B ((exists C (v5_ordinal1(C) & B = k1_ordinal2(C) & k1_ordinal1(A) = k1_relat_1(C) & k1_funct_1(C,k1_xboole_0) = k1_xboole_0 & (all D (v3_ordinal1(D) -> (r2_hidden(k1_ordinal1(D),k1_ordinal1(A)) -> k1_funct_1(C,k1_ordinal1(D)) = k1_zfmisc_1(k1_funct_1(C,D))))) & (all D (v3_ordinal1(D) -> (r2_hidden(D,k1_ordinal1(A)) & v4_ordinal1(D) -> D = k1_xboole_0 | k3_tarski(k2_relat_1(k2_ordinal1(C,D))) = k1_funct_1(C,D)))) & v1_funct_1(C) & v1_relat_1(C))) <-> B = k4_classes1(A))))) # label(d6_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4218 (all A exists B (v3_ordinal1(B) & k1_classes1(A) = k3_classes1(A,B) & (all C (v3_ordinal1(C) -> -(k1_classes1(A) = k3_classes1(A,C) & r2_hidden(C,B)))))) # label(t23_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4219 (all A all B k2_xboole_0(k5_classes1(A),k5_classes1(B)) = k5_classes1(k2_xboole_0(A,B))) # label(t67_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4220 (all A (v2_classes1(A) <-> v1_classes1(A) & (all B (r2_hidden(B,A) -> r2_hidden(k1_zfmisc_1(B),A))) & (all B -(-r2_hidden(B,A) & -r2_tarski(B,A) & r1_tarski(B,A))))) # label(d2_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4221 (all A all B (v3_ordinal1(B) -> (r1_tarski(A,k4_classes1(B)) <-> r1_tarski(k1_zfmisc_1(A),k4_classes1(k1_ordinal1(B)))))) # label(t46_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4222 (all A all B (v3_ordinal1(B) -> (r1_ordinal1(B,k6_classes1(A)) <-> (all C (v3_ordinal1(C) -> -((all D -(r1_ordinal1(C,k6_classes1(D)) & r2_hidden(D,A))) & r2_hidden(C,B))))))) # label(t78_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4223 (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].
11.83/11.49	4224 (all A all B all C (v3_ordinal1(C) -> (r2_hidden(B,k4_classes1(C)) & r1_tarski(A,B) -> r2_hidden(A,k4_classes1(C))))) # label(t47_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4225 (all A (k1_xboole_0 = k6_classes1(A) <-> A = k1_xboole_0)) # label(t79_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4226 (all A all 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)))) # label(t9_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4227 (all A all B (v3_ordinal1(B) -> -((all C -(k6_classes1(C) = B & r2_hidden(C,A))) & k1_ordinal1(B) = k6_classes1(A)))) # label(t80_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4228 (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].
11.83/11.49	4229 $T # label(t70_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4230 (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].
11.83/11.49	4231 (all A (v1_classes1(A) <-> (all B all C (r2_hidden(B,A) & r1_tarski(C,B) -> r2_hidden(C,A))))) # label(d1_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4232 (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].
11.83/11.49	4233 (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].
11.83/11.49	4234 (all A (v3_ordinal1(A) -> v1_ordinal1(k4_classes1(A)))) # label(t37_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4235 (all A all B (v3_ordinal1(B) -> ((all C (v3_ordinal1(C) -> (r1_tarski(A,k4_classes1(C)) -> r1_ordinal1(B,C)))) & r1_tarski(A,k4_classes1(B)) <-> k6_classes1(A) = B))) # label(d8_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4236 (all A all B -(r2_hidden(A,k1_classes1(B)) & (all C (v3_ordinal1(C) -> -(-r2_hidden(A,k3_classes1(B,C)) & r2_hidden(A,k3_classes1(B,k1_ordinal1(C)))))) & B != A)) # label(t24_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4237 (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].
11.83/11.49	4238 (all A all B all C all D (v3_ordinal1(D) -> (v4_ordinal1(D) & r2_hidden(A,k3_classes1(B,D)) -> r2_hidden(C,k3_classes1(B,D)) | -r1_tarski(C,A) & C != k1_zfmisc_1(A) | D = k1_xboole_0))) # label(t17_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	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].
11.83/11.49	4240 (all A (v4_ordinal1(k6_classes1(k1_classes1(A))) & k6_classes1(k1_classes1(A)) != k1_xboole_0)) # label(t82_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4241 (all A v3_ordinal1(k6_classes1(A))) # label(dt_k6_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4242 (all A all B all C all D (v1_relat_1(C) & v5_ordinal1(C) & v3_ordinal1(D) & v1_funct_1(C) -> (r2_hidden(A,a_3_1_classes1(B,C,D)) <-> (exists E (m1_subset_1(E,k1_classes1(B)) & A = k1_zfmisc_1(E) & r2_hidden(E,k1_funct_1(C,D))))))) # label(fraenkel_a_3_1_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4243 (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].
11.83/11.49	4244 (all 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))) <-> v2_classes1(A))) # label(t2_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4245 (all A all B (v1_ordinal1(A) & v1_ordinal1(B) -> v1_ordinal1(k2_xboole_0(A,B)))) # label(t55_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4246 (all A all B all C (v3_ordinal1(C) -> (r2_hidden(B,k4_classes1(C)) & r2_hidden(A,k4_classes1(C)) <-> r2_hidden(k4_tarski(A,B),k4_classes1(k1_ordinal1(k1_ordinal1(C))))))) # label(t51_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4247 (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].
11.83/11.49	4248 (all A all B all C (v3_ordinal1(C) -> ((exists D (D = A & (exists E (m1_subset_1(E,k1_classes1(B)) & r2_hidden(E,k3_classes1(B,C)) & r1_tarski(D,E))) & 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].
11.83/11.49	4249 (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].
11.83/11.49	4250 $T # label(t4_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4251 (all A exists B (k1_classes1(A) = k3_classes1(A,B) & v3_ordinal1(B))) # label(t22_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4252 (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].
11.83/11.49	4253 $T # label(dt_k2_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4254 (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].
11.83/11.49	4255 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r2_hidden(A,B) <-> r2_hidden(k4_classes1(A),k4_classes1(B))))))) # label(t42_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4256 (all A (v1_ordinal1(A) -> A = k5_classes1(A))) # label(t62_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4257 (all A all B (r1_classes1(A,B) <-> v2_classes1(B) & r2_hidden(A,B))) # label(d3_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4258 (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)) & k1_zfmisc_1(D) = A & m1_subset_1(D,k1_classes1(B))))))) # label(fraenkel_a_2_1_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4259 $T # label(dt_k5_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4260 (all A all B all C (r2_hidden(C,k1_classes1(A)) & r2_hidden(B,k1_classes1(A)) -> r2_hidden(k2_tarski(B,C),k1_classes1(A)) & r2_hidden(k1_tarski(B),k1_classes1(A)))) # label(t30_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4261 $T # label(t57_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4262 (all A (v3_ordinal1(A) -> A = k5_classes1(A))) # label(t64_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4263 (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].
11.83/11.49	4264 (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].
11.83/11.49	4265 (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].
11.83/11.49	4266 (all A all B (v3_ordinal1(B) -> (all C ((exists D (v1_relat_1(D) & v5_ordinal1(D) & k1_ordinal2(D) = C & (all E (v3_ordinal1(E) -> (r2_hidden(E,k1_ordinal1(B)) & v4_ordinal1(E) -> k1_xboole_0 = E | k3_xboole_0(k3_tarski(k2_relat_1(k2_ordinal1(D,E))),k1_classes1(A)) = k1_funct_1(D,E)))) & (all E (v3_ordinal1(E) -> (r2_hidden(k1_ordinal1(E),k1_ordinal1(B)) -> 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_ordinal1(E))))) & k1_funct_1(D,k1_xboole_0) = k1_tarski(A) & k1_ordinal1(B) = k1_relat_1(D) & v1_funct_1(D))) <-> C = k2_classes1(A,B))))) # label(d5_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4267 $T # label(t3_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4268 (all A all B all C (v3_ordinal1(C) -> (r2_hidden(B,k4_classes1(C)) & r2_hidden(A,k4_classes1(C)) <-> r2_hidden(k2_tarski(A,B),k4_classes1(k1_ordinal1(C)))))) # label(t50_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4269 (all A all B all C (r2_hidden(C,k1_classes1(A)) & r2_hidden(B,k1_classes1(A)) -> r2_hidden(k4_tarski(B,C),k1_classes1(A)))) # label(t31_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4270 (all A exists B (k3_classes1(A,k1_ordinal1(B)) = k3_classes1(A,B) & v3_ordinal1(B))) # label(t20_classes1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4271 (all A (v1_funct_1(A) & v1_relat_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].
11.83/11.49	4272 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(A,k1_relat_1(C)) & r2_hidden(B,k1_relat_1(C)) -> r1_xboole_0(k1_funct_1(k2_card_3(C),A),k1_funct_1(k2_card_3(C),B)) | B = A))) # label(t13_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4273 $T # label(t23_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4274 (all A all B k1_card_3(k2_funcop_1(A,B)) = k2_funcop_1(A,k1_card_1(B))) # label(t10_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4275 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 ((all B (r2_hidden(B,f1_s3_card_3) -> p1_s3_card_3(A,B))) & r2_hidden(A,f1_s3_card_3))) # label(s3_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4276 (all A all B k2_funcop_1(k1_tarski(A),k2_zfmisc_1(B,k1_tarski(A))) = k2_card_3(k2_funcop_1(k1_tarski(A),B))) # label(t12_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4277 (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].
11.83/11.49	4278 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> k1_tarski(k1_funct_1(B,A)) = k5_card_3(A,k1_tarski(B)))) # label(t25_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4279 (all A (v1_card_1(A) -> (all B (v6_ordinal1(B) & (all C (r2_hidden(C,B) -> r2_hidden(k1_card_1(C),A))) -> r1_tarski(k1_card_1(k3_tarski(B)),A))))) # label(t62_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4280 (all A (v1_funct_1(A) & v1_card_3(A) & v1_relat_1(A) -> v1_card_1(k6_card_3(A)))) # label(dt_k6_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4281 (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].
11.83/11.49	4282 $T # label(t7_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4283 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_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].
11.83/11.49	4284 (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].
11.83/11.49	4285 (all A k5_card_3(A,k1_xboole_0) = k1_xboole_0) # label(t24_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4286 (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].
11.83/11.49	4287 (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].
11.83/11.49	4288 $T # label(dt_k3_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4289 (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].
11.83/11.49	4290 (all A all B k1_funct_2(A,B) = k4_card_3(k2_funcop_1(A,B))) # label(t20_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4291 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_card_3(A) -> k1_card_3(A) = A)) # label(t8_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4292 (exists A (v1_card_3(A) & v1_funct_1(A) & v1_relat_1(A))) # label(rc1_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4293 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_card_3(A) -> k1_card_1(k3_card_3(k2_card_3(A))) = k6_card_3(A))) # label(d7_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4294 $T # label(t5_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4295 (all A (v1_card_1(A) -> (all B k7_card_3(k2_funcop_1(k1_tarski(B),A)) = A))) # label(t51_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4296 (all A (v1_card_1(A) -> (all B k6_card_3(k2_funcop_1(k1_tarski(B),A)) = A))) # label(t50_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4297 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> -((all C all D A != k4_tarski(C,D)) & r2_hidden(A,k3_card_3(k2_card_3(B)))))) # label(t32_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4298 (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].
11.83/11.49	4299 (all A (v1_card_3(A) & v1_funct_1(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].
11.83/11.49	4300 (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].
11.83/11.49	4301 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(A,B) & p1_s2_card_3(B,A) -> A = B)) -> (exists A ((all B -(r2_hidden(B,f1_s2_card_3) & A != B & p1_s2_card_3(B,A))) & r2_hidden(A,f1_s2_card_3))) # label(s2_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4302 (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].
11.83/11.49	4303 $T # label(dt_k4_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4304 (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) -> ((all C (r2_hidden(C,k1_relat_1(A)) -> r2_hidden(k1_funct_1(A,C),k1_funct_1(B,C)))) & k1_relat_1(A) = k1_relat_1(B) -> r2_hidden(k6_card_3(A),k7_card_3(B))))))) # label(t56_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4305 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_card_3(B) & v1_funct_1(B) & v1_relat_1(B) -> ((all C (r2_hidden(C,k1_relat_1(A)) -> k1_card_1(k1_funct_1(A,C)) = k1_funct_1(B,C))) & k1_relat_1(A) = k1_relat_1(B) <-> B = k1_card_3(A)))))) # label(d2_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4306 (exists A (v1_relat_1(A) & f1_s4_card_3 = k1_relat_1(A) & (all B (r2_hidden(B,f1_s4_card_3) -> (all C (r2_hidden(C,k1_funct_1(A,B)) <-> p1_s4_card_3(B,C) & r2_hidden(C,f2_s4_card_3(B)))))) & v1_funct_1(A))) # label(s4_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4307 $T # label(t1_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4308 (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].
11.83/11.49	4309 (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].
11.83/11.49	4310 (all A (v1_card_3(A) & v1_funct_1(A) & v1_relat_1(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].
11.83/11.49	4311 (all A (v1_funct_1(A) & v1_card_3(A) & v1_relat_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].
11.83/11.49	4312 (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].
11.83/11.49	4313 $T # label(t4_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4314 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (r2_hidden(A,k1_relat_1(B)) -> k4_card_3(B) = k1_xboole_0 | k1_funct_1(B,A) = k5_card_3(A,k4_card_3(B))))) # label(t22_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4315 (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].
11.83/11.49	4316 (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_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(k4_card_3(A),k4_card_3(B))))))) # label(t38_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4317 (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].
11.83/11.49	4318 (all A -((all B -(r1_tarski(B,A) & k3_tarski(A) = k3_tarski(B) & (all C -(r1_tarski(C,B) & k1_xboole_0 != C & (all D -((all E (r2_hidden(E,C) -> r1_tarski(D,E))) & r2_hidden(D,C))))))) & v6_ordinal1(A))) # label(t61_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4319 (all A (v1_funct_1(A) & v1_relat_1(A) -> (k4_card_3(A) = k1_xboole_0 <-> r2_hidden(k1_xboole_0,k2_relat_1(A))))) # label(t37_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4320 (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].
11.83/11.49	4321 (all A all B all C (v1_setfam_1(B) & m1_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) -> v1_fraenkel(k4_card_3(C)) & -v1_xboole_0(k4_card_3(C)))) # label(fc4_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4322 (all A (v1_funct_1(A) & v1_card_3(A) & v1_relat_1(A) -> (k7_card_3(A) = np__0 <-> r2_hidden(k1_xboole_0,k2_relat_1(A))))) # label(t44_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4323 (all A (v1_card_1(A) -> k7_card_3(k2_funcop_1(k1_xboole_0,A)) = np__1)) # label(t49_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4324 (all A all B (v1_card_3(A) & v1_funct_1(A) & v1_relat_1(A) -> v1_funct_1(k7_relat_1(A,B)) & v1_card_3(k7_relat_1(A,B)) & v1_relat_1(k7_relat_1(A,B)))) # label(fc1_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4325 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all 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)) -> k2_zfmisc_1(k1_funct_1(A,C),k1_tarski(C)) = k1_funct_1(B,C))) <-> B = k2_card_3(A)))))) # label(d3_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4326 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_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].
11.83/11.49	4327 $T # label(t21_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4328 (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].
11.83/11.49	4329 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all 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)))) & D = C & v1_funct_1(D) & v1_relat_1(D))))) <-> B = k4_card_3(A))))) # label(d5_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4330 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (r2_hidden(A,k3_card_3(k2_card_3(B))) <-> A = k4_tarski(k1_mcart_1(A),k2_mcart_1(A)) & r2_hidden(k1_mcart_1(A),k1_funct_1(B,k2_mcart_1(A))) & r2_hidden(k2_mcart_1(A),k1_relat_1(B))))) # label(t33_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4331 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_card_3(A) -> (all B (v1_funct_1(B) & v1_card_3(B) & v1_relat_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(k7_card_3(A),k7_card_3(B))))))) # label(t45_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4332 $T # label(t41_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4333 (all A (v1_relat_1(A) & v1_card_3(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_card_3(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].
11.83/11.49	4334 (all A (v1_card_1(A) -> k6_card_3(k2_funcop_1(k1_xboole_0,A)) = np__0)) # label(t48_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4335 (all A (v1_relat_1(A) & v1_funct_1(A) -> ((all B (r2_hidden(B,k1_relat_1(A)) -> v1_card_1(k1_funct_1(A,B)))) <-> v1_card_3(A)))) # label(d1_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4336 $T # label(t2_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4337 (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].
11.83/11.49	4338 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_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].
11.83/11.49	4339 (all A (v1_relat_1(A) & v1_card_3(A) & v1_funct_1(A) -> (all B (r2_hidden(B,k1_relat_1(A)) -> k1_funct_1(A,B) = k1_card_1(k1_funct_1(A,B)))))) # label(t39_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4340 (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].
11.83/11.49	4341 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_relat_1(k1_card_3(A)) & v1_funct_1(k1_card_3(A)) & v1_card_3(k1_card_3(A)))) # label(dt_k1_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4342 (all A all B (v1_card_1(B) -> v1_relat_1(k2_funcop_1(A,B)) & v1_funct_1(k2_funcop_1(A,B)) & v1_card_3(k2_funcop_1(A,B)) & v1_ordinal2(k2_funcop_1(A,B)))) # label(fc2_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4343 (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].
11.83/11.49	4344 (exists A (v1_funct_1(A) & (all B (r2_hidden(B,f1_s1_card_3) -> k1_funct_1(A,B) = f2_s1_card_3(B))) & f1_s1_card_3 = k1_relat_1(A) & v1_card_3(A) & v1_relat_1(A))) # label(s1_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4345 (all A all B all C ((all D ((exists E (v1_relat_1(E) & D = k1_funct_1(E,A) & r2_hidden(E,B) & v1_funct_1(E))) <-> r2_hidden(D,C))) <-> C = k5_card_3(A,B))) # label(d6_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4346 $T # label(t42_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4347 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_card_3(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(B) = k1_relat_1(A) -> r1_tarski(k6_card_3(A),k6_card_3(B))))))) # label(t43_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4348 $T # label(dt_k5_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4349 $T # label(t6_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4350 (all A all B all C k5_card_3(C,k2_xboole_0(A,B)) = k2_xboole_0(k5_card_3(C,A),k5_card_3(C,B))) # label(t27_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4351 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_card_3(A) -> k7_card_3(A) = k1_card_1(k4_card_3(A)))) # label(d8_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4352 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (r2_hidden(A,k4_card_3(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)))))) # label(t18_card_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4353 (all A all B (r2_hidden(B,A) & v2_classes1(A) -> r1_tarski(k1_classes1(B),A))) # label(t5_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4354 (all A (v2_classes1(A) -> v1_classes1(A))) # label(cc1_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4355 (all A (v3_ordinal1(A) -> (all B (k16_classes2(A) = B <-> (exists C (v1_relat_1(C) & v5_ordinal1(C) & k1_ordinal1(A) = k1_relat_1(C) & k13_classes2 = k1_funct_1(C,k1_xboole_0) & (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) -> (r2_hidden(D,k1_ordinal1(A)) & v4_ordinal1(D) -> D = k1_xboole_0 | k1_funct_1(C,D) = k15_classes2(k3_card_3(k2_ordinal1(C,D)))))) & k1_ordinal2(C) = B & v1_funct_1(C))))))) # label(d5_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4356 (all A (v3_ordinal1(A) -> v1_ordinal1(k1_classes1(A)) & v2_classes1(k1_classes1(A)) & v1_classes2(k1_classes1(A)) & v1_classes1(k1_classes1(A)) & -v1_xboole_0(k1_classes1(A)))) # label(fc4_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4357 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (v1_classes2(B) & -v1_xboole_0(B) -> (all C (v1_classes2(C) & -v1_xboole_0(C) -> (r2_hidden(A,B) & r2_hidden(B,C) -> r2_hidden(A,C)))))))) # label(t59_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4358 (all A (v1_ordinal1(A) & v2_classes1(A) -> v1_classes2(A))) # label(cc3_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4359 $T # label(t49_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4360 (all A (-v1_xboole_0(A) & v1_classes2(A) -> r1_tarski(k16_classes2(k1_xboole_0),A) & r1_tarski(k1_classes1(k1_xboole_0),A) & r1_tarski(k13_classes2,A))) # label(t79_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4361 (all A (v2_classes1(A) -> k1_card_1(A) = k2_ordinal2(A))) # label(t10_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4362 (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].
11.83/11.49	4363 (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].
11.83/11.49	4364 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,A) & v1_classes2(A) -> k2_classes2(A,B) = k1_zfmisc_1(B))) # label(redefinition_k2_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4365 (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].
11.83/11.49	4366 (all A all B all C (v1_classes2(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & -v1_xboole_0(A) -> k2_xboole_0(B,C) = k7_classes2(A,B,C))) # label(redefinition_k7_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4367 $T # label(t48_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4368 (all A (v1_classes2(A) & -v1_xboole_0(A) -> v4_ordinal1(k2_ordinal2(A)) & k1_xboole_0 != k2_ordinal2(A))) # label(t55_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4369 (all A all B all C (v1_classes2(A) & m1_subset_1(C,A) & m1_subset_1(B,A) & -v1_xboole_0(A) -> k4_tarski(B,C) = k6_classes2(A,B,C))) # label(redefinition_k6_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4370 (all A all B all C (v2_classes1(A) & r2_hidden(B,A) & r2_hidden(C,A) -> r2_hidden(k1_tarski(B),A) & r2_hidden(k2_tarski(B,C),A))) # label(t3_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4371 (all A (v1_ordinal1(A) -> -v1_xboole_0(k1_classes1(A)) & v1_classes2(k1_classes1(A)) & v2_classes1(k1_classes1(A)) & v1_classes1(k1_classes1(A)) & v1_ordinal1(k1_classes1(A)))) # label(fc6_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4372 (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].
11.83/11.49	4373 (all A (v1_ordinal1(A) & v2_classes1(A) -> k4_classes1(k1_card_1(A)) = A)) # label(t32_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4374 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (v1_classes2(B) & -v1_xboole_0(B) -> r2_hidden(B,A) | r1_tarski(A,B))))) # label(t57_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4375 (all A all B (-v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(B,A) -> k1_classes2(A,B) = k1_tarski(B))) # label(redefinition_k1_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4376 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (k16_classes2(A) = k16_classes2(B) -> B = A))))) # label(t81_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4377 (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].
11.83/11.49	4378 (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].
11.83/11.49	4379 (all A all B all C (v2_classes1(A) & r2_hidden(B,A) & r2_hidden(C,A) -> r2_hidden(k4_tarski(B,C),A))) # label(t4_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4380 (all A (v2_classes1(A) -> v4_ordinal1(k1_card_1(A)) & k1_xboole_0 != k1_card_1(A) & k1_card_1(A) != np__0 | A = k1_xboole_0)) # label(t21_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4381 $T # label(t47_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4382 (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].
11.83/11.49	4383 (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(k1_card_1(B),k1_card_1(A))) & -(r1_tarski(B,A) & r2_hidden(B,A)))) # label(t23_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4384 (all A all B all C (v1_classes2(A) & m1_subset_1(C,A) & m1_subset_1(B,A) & -v1_xboole_0(A) -> k4_xboole_0(B,C) = k9_classes2(A,B,C))) # label(redefinition_k9_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4385 (all A all B all C (v1_classes2(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & -v1_xboole_0(A) -> k11_classes2(A,B,C) = k2_zfmisc_1(B,C))) # label(redefinition_k11_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4386 (all A all B (r2_hidden(B,A) & v2_classes1(A) -> r2_hidden(k1_card_1(B),A))) # label(t12_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4387 (all A all B (r2_hidden(B,A) & v1_classes1(A) -> r2_hidden(k1_card_1(B),k1_card_1(A)) & -r2_wellord2(B,A))) # label(t1_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4388 (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].
11.83/11.49	4389 (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(k10_classes2(A,B,C),A))) # label(dt_k10_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4390 (all A (v3_ordinal1(A) -> (all B (r2_hidden(A,k1_classes1(B)) -> r2_hidden(k1_ordinal1(A),k1_classes1(B)) & r1_tarski(A,k1_classes1(B)))))) # label(t7_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4391 (all A all B all C (v1_classes2(A) & m1_subset_1(C,A) & m1_subset_1(B,A) & -v1_xboole_0(A) -> k7_classes2(A,B,B) = B)) # label(idempotence_k7_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4392 (all A (v2_classes1(A) -> v2_classes1(k4_classes1(k1_card_1(A))))) # label(t39_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.49	4393 (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].
11.83/11.49	4394 (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].
11.83/11.49	4395 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,A) & m1_subset_1(B,A) & v1_classes2(A) -> k3_xboole_0(B,C) = k8_classes2(A,B,C))) # label(redefinition_k8_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4396 (all A all B all C (v1_classes2(A) & m1_subset_1(C,A) & m1_subset_1(B,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].
11.83/11.50	4397 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (v1_classes2(B) & -v1_xboole_0(B) -> -v1_xboole_0(k2_xboole_0(A,B)) & v1_classes2(k2_xboole_0(A,B)) & v1_classes2(k3_xboole_0(A,B)) & -v1_xboole_0(k3_xboole_0(A,B)))))) # label(t61_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4398 (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].
11.83/11.50	4399 (all A (v3_ordinal1(A) -> -v1_xboole_0(k16_classes2(A)) & v1_classes2(k16_classes2(A)) & v2_classes1(k16_classes2(A)) & v1_classes1(k16_classes2(A)) & v1_ordinal1(k16_classes2(A)))) # label(fc8_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4400 (all A all B (v1_classes2(B) & -v1_xboole_0(B) -> (r2_hidden(A,B) -> r2_hidden(k1_zfmisc_1(A),B) & r2_hidden(k3_tarski(A),B) & r2_hidden(k1_setfam_1(A),B)))) # label(t65_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4401 (all A all B all C (v1_classes2(A) & m1_subset_1(C,A) & m1_subset_1(B,A) & -v1_xboole_0(A) -> k8_classes2(A,C,B) = k8_classes2(A,B,C))) # label(commutativity_k8_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4402 (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].
11.83/11.50	4403 (all A all B (-(-(r1_tarski(A,k1_classes1(B)) & r2_hidden(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)) & v1_ordinal1(B))) -> r1_tarski(k1_funct_2(A,k1_classes1(B)),k1_classes1(B)))) # label(t24_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4404 (all A (v2_classes1(A) -> v4_ordinal1(k1_card_1(A)))) # label(t20_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4405 (all A (-v1_xboole_0(A) & v1_classes2(A) -> r2_hidden(k1_xboole_0,A))) # label(t62_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4406 (all A (v3_ordinal1(A) -> v1_ordinal1(k4_classes1(A)))) # label(fc7_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4407 (all A all B -(v2_classes1(A) & -r2_wellord2(B,k4_classes1(k1_card_1(A))) & -r2_hidden(B,k4_classes1(k1_card_1(A))) & r1_tarski(B,k4_classes1(k1_card_1(A))))) # label(t37_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4408 (all A (v3_ordinal1(A) -> (all B -(r2_hidden(A,k6_classes1(B)) & (all C -(r2_hidden(C,B) & A = k6_classes1(C))) & v1_ordinal1(B))))) # label(t41_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4409 (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].
11.83/11.50	4410 (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(k5_classes2(A,B,C),A))) # label(dt_k5_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4411 (all A k1_card_1(k1_classes1(A)) = k2_ordinal2(k1_classes1(A))) # label(t11_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4412 (all A (v1_classes2(k15_classes2(A)) & -v1_xboole_0(k15_classes2(A)))) # label(dt_k15_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4413 (all A v1_ordinal1(k5_classes1(A))) # label(fc5_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4414 (all A all B (v1_classes2(B) & -v1_xboole_0(B) -> ((all C (-v1_xboole_0(C) & v1_classes2(C) -> (r1_tarski(A,C) -> r1_tarski(B,C)))) & r1_tarski(A,B) <-> B = k15_classes2(A)))) # label(d4_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4415 (all A all B (m1_subset_1(B,A) & v1_classes2(A) & -v1_xboole_0(A) -> k1_setfam_1(B) = k4_classes2(A,B))) # label(redefinition_k4_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4416 $T # label(t2_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4417 $T # label(t74_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4418 (all A (v1_classes2(A) & -v1_xboole_0(A) -> v3_ordinal1(k2_ordinal2(A)) & v2_ordinal1(k2_ordinal2(A)) & v1_ordinal1(k2_ordinal2(A)))) # label(fc2_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4419 (all A r1_tarski(k4_classes1(k1_card_1(k1_classes1(A))),k1_classes1(A))) # label(t29_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4420 (all A (v1_ordinal1(A) & v2_classes1(A) -> r1_tarski(A,k4_classes1(k1_card_1(A))))) # label(t31_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4421 (all A all B all C (v1_classes2(A) & m1_subset_1(C,A) & m1_subset_1(B,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].
11.83/11.50	4422 (all A (v1_classes2(A) -> v2_classes1(A) & v1_classes1(A) & v1_ordinal1(A))) # label(cc2_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4423 (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].
11.83/11.50	4424 (all A all B all C (m1_subset_1(B,A) & m1_subset_1(C,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].
11.83/11.50	4425 (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].
11.83/11.50	4426 (all A all B (-v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(B,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].
11.83/11.50	4427 (all A (v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(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)))) -> k4_classes1(k1_relat_1(A)) = k3_card_3(A)))) # label(t25_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4428 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & v1_classes2(A) -> k10_classes2(A,B,C) = k10_classes2(A,C,B))) # label(commutativity_k10_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4429 (exists A (v1_classes2(A) & v2_classes1(A) & v1_classes1(A) & -v1_xboole_0(A) & v1_ordinal1(A))) # label(rc1_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4430 (all A (k1_card_1(k1_classes1(A)) != k1_xboole_0 & v4_ordinal1(k1_card_1(k1_classes1(A))) & np__0 != k1_card_1(k1_classes1(A)))) # label(t22_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4431 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & v1_classes2(A) -> k5_classes2(A,C,B) = k5_classes2(A,B,C))) # label(commutativity_k5_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4432 (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].
11.83/11.50	4433 (all A (v2_classes1(A) -> k1_card_1(k4_classes1(k1_card_1(A))) = k1_card_1(A))) # label(t35_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4434 (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].
11.83/11.50	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(k6_classes2(A,B,C),A))) # label(dt_k6_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4436 (all A (v3_ordinal1(A) -> (all B (v5_ordinal1(B) & v1_funct_1(B) & v1_relat_1(B) -> (v4_ordinal1(A) & (all C (v3_ordinal1(C) -> (r2_hidden(C,A) -> k1_funct_1(B,C) = k16_classes2(C)))) & A = k1_relat_1(B) -> k16_classes2(A) = k15_classes2(k3_card_3(B)) | A = k1_xboole_0))))) # label(t78_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4437 (all A all B (v1_classes2(A) & m1_subset_1(B,A) & -v1_xboole_0(A) -> m1_subset_1(k3_classes2(A,B),A))) # label(dt_k3_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4438 (all A (v1_classes2(A) <-> v1_ordinal1(A) & v2_classes1(A))) # label(d1_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4439 (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].
11.83/11.50	4440 $T # label(t60_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4441 (all A (v1_card_1(A) -> (all B (v2_classes1(B) & r2_hidden(A,k1_card_1(B)) -> r2_hidden(A,B))))) # label(t16_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4442 (all A (v2_classes1(A) -> r1_tarski(k4_classes1(k1_card_1(A)),A))) # label(t28_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4443 (all A (v1_classes2(A) & -v1_xboole_0(A) -> v1_classes2(k1_classes1(A)) & v2_classes1(k1_classes1(A)) & v1_classes1(k1_classes1(A)) & -v1_xboole_0(k1_classes1(A)) & v1_ordinal1(k1_classes1(A)))) # label(fc3_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4444 (all A all B all C (v1_classes2(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & -v1_xboole_0(A) -> m1_subset_1(k11_classes2(A,B,C),A))) # label(dt_k11_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4445 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & v1_classes2(B) -> -(-r2_hidden(A,B) & -r2_hidden(B,A) & A != B))))) # label(t56_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4446 (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].
11.83/11.50	4447 (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].
11.83/11.50	4448 (all A (v3_ordinal1(A) -> (all B (r2_hidden(A,k2_ordinal2(B)) & v2_classes1(B) -> r2_hidden(k4_classes1(A),B) & r2_hidden(k1_card_1(k4_classes1(A)),k1_card_1(B)))))) # label(t26_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4449 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,A) & m1_subset_1(B,A) & v1_classes2(A) -> k8_classes2(A,B,B) = B)) # label(idempotence_k8_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4450 $T # label(t72_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4451 (all A all B (r2_hidden(B,A) & v1_ordinal1(A) & v2_classes1(A) -> r2_hidden(k6_classes1(B),A))) # label(t30_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4452 (all A all B all C (v1_classes2(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & -v1_xboole_0(A) -> m1_subset_1(k9_classes2(A,B,C),A))) # label(dt_k9_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4453 (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].
11.83/11.50	4454 (all A all B all C (v1_classes2(C) & -v1_xboole_0(C) -> (r2_hidden(B,C) & r2_hidden(A,C) -> r2_hidden(k4_xboole_0(A,B),C) & r2_hidden(k5_xboole_0(A,B),C) & r2_hidden(k3_xboole_0(A,B),C) & r2_hidden(k2_xboole_0(A,B),C)))) # label(t66_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4455 (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].
11.83/11.50	4456 (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(k8_classes2(A,B,C),A))) # label(dt_k8_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4457 (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(k7_classes2(A,B,C),A))) # label(dt_k7_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4458 (all A all B (r2_hidden(B,A) & v1_ordinal1(B) & v2_classes1(A) -> r2_hidden(B,k4_classes1(k1_card_1(A))))) # label(t43_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4459 (all A all B all C (m1_subset_1(C,A) & m1_subset_1(B,A) & v1_classes2(A) & -v1_xboole_0(A) -> k5_classes2(A,B,C) = k2_tarski(B,C))) # label(redefinition_k5_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4460 (all A all B (-v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(B,A) -> m1_subset_1(k1_classes2(A,B),A))) # label(dt_k1_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4461 (all A (v3_ordinal1(A) -> k16_classes2(k1_ordinal1(A)) = k1_classes1(k16_classes2(A)))) # label(t76_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4462 (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].
11.83/11.50	4463 $T # label(t73_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4464 (all A (-v1_xboole_0(A) & v1_classes2(A) -> v3_ordinal1(k2_ordinal2(A)))) # label(t50_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4465 (all A (v1_ordinal1(A) -> v1_classes2(k1_classes1(A)))) # label(t51_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4466 (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].
11.83/11.50	4467 (all A all B (v1_classes2(A) & m1_subset_1(B,A) & -v1_xboole_0(A) -> k3_classes2(A,B) = k3_tarski(B))) # label(redefinition_k3_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4468 (all A v2_classes1(k4_classes1(k1_card_1(k1_classes1(A))))) # label(t40_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4469 $T # label(dt_k16_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4470 (all A (-v1_xboole_0(k1_classes1(A)) & v1_classes1(k1_classes1(A)) & v2_classes1(k1_classes1(A)))) # label(fc1_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4471 (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].
11.83/11.50	4472 (all A (v1_ordinal1(A) -> k1_classes1(A) = k4_classes1(k1_card_1(k1_classes1(A))))) # label(t46_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4473 $T # label(t68_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4474 (all A (v3_ordinal1(A) -> v1_classes2(k1_classes1(A)))) # label(t53_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4475 (all A (v3_ordinal1(A) -> (all B (v2_classes1(B) & r2_hidden(A,B) -> r1_tarski(A,B) & r2_hidden(k1_ordinal1(A),B))))) # label(t6_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4476 (all A (-v1_xboole_0(A) & v1_classes2(A) -> -v1_xboole_0(k1_classes1(A)) & v1_classes2(k1_classes1(A)))) # label(t52_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4477 (all A (v1_classes2(A) & -v1_xboole_0(A) -> k4_classes1(k2_ordinal2(A)) = A)) # label(t54_classes2) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4478 $T # label(t101_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4479 (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 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].
11.83/11.50	4480 (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) -> (k4_finseq_1(B) = k4_finseq_1(A) <-> k3_finseq_1(B) = k3_finseq_1(A)))))) # label(t31_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4481 (all A (v4_ordinal2(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> k5_relat_1(k14_finseq_1(k4_xboole_0(k4_finseq_1(B),k1_tarski(A))),B) = k2_finseq_3(A,B))))) # label(d2_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4482 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> k1_finseq_3(A,k2_relat_1(A)) = k1_xboole_0)) # label(t79_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4483 (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].
11.83/11.50	4484 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B all C (v4_ordinal2(C) -> (r2_hidden(C,k4_finseq_1(A)) -> (all D (v1_finset_1(D) -> -(-r2_hidden(k1_funct_1(A,C),B) & k1_funct_1(A,C) != k1_funct_1(k1_finseq_3(A,B),k6_xcmplx_0(C,k4_card_1(D))) & D = a_3_0_finseq_3(A,B,C))))))))) # label(t92_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4485 (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 (v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) -> ((all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r2_hidden(D,k4_finseq_1(C)) -> k1_funct_1(C,D) = k1_funct_1(A,k1_nat_1(k3_finseq_1(B),D))))) & (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(A,D)))) & k3_finseq_1(A) = k1_nat_1(k3_finseq_1(B),k3_finseq_1(C)) -> A = k7_finseq_1(B,C)))))))) # label(t43_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4486 (all A all B k10_finseq_1(A,B) != k1_xboole_0) # label(t38_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4487 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (k2_finseq_1(k2_xcmplx_0(A,B)) = k2_finseq_1(A) -> B = np__0))))) # label(t18_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4488 (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].
11.83/11.50	4489 (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].
11.83/11.50	4490 (all A (v1_relat_1(A) & v1_finseq_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) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (k3_finseq_1(A) = k1_nat_1(C,np__1) -> r1_xreal_0(B,D) | k1_funct_1(A,D) = k1_funct_1(k2_finseq_3(B,A),D)))))))))) # label(t119_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4491 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (r1_xreal_0(A,B) <-> k7_relat_1(k1_finseq_2(A),k2_finseq_1(B)) = k1_finseq_2(A)))))) # label(t58_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4492 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (v4_ordinal2(B) -> (all C (v4_ordinal2(C) -> (k3_finseq_1(A) = k2_xcmplx_0(C,np__1) & r2_hidden(B,k4_finseq_1(A)) -> k3_finseq_1(k2_finseq_3(B,A)) = C))))))) # label(t118_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4493 (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) -> (k7_relat_1(A,k2_finseq_1(C)) = B & k2_xcmplx_0(C,D) = k3_finseq_1(A) -> k3_finseq_1(B) = C))))))))) # label(t59_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4494 (all A v2_funct_1(k9_finseq_1(A))) # label(t102_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4495 (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].
11.83/11.50	4496 $T # label(t8_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4497 (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 (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].
11.83/11.50	4498 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_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].
11.83/11.50	4499 (all A all B all C k1_xboole_0 != k11_finseq_1(A,B,C)) # label(t39_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4500 (all A all B all C k9_finseq_1(A) != k10_finseq_1(B,C)) # label(t40_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4501 (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) -> (r2_hidden(B,k4_finseq_1(A)) & r1_xreal_0(D,C) & r1_xreal_0(B,D) & k1_nat_1(C,np__1) = k3_finseq_1(A) -> 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].
11.83/11.50	4502 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B (k4_finseq_1(k1_finseq_3(A,B)) = k4_finseq_1(A) -> r1_xboole_0(B,k2_relat_1(A)))))) # label(t71_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4503 (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].
11.83/11.50	4504 (all A (v4_ordinal2(A) -> v2_funct_1(k1_finseq_2(A)))) # label(t100_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4505 (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].
11.83/11.50	4506 (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].
11.83/11.50	4507 (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].
11.83/11.50	4508 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_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].
11.83/11.50	4509 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B (v4_ordinal2(B) -> (m2_subset_1(k6_xcmplx_0(B,np__1),k1_numbers,k5_numbers) & m2_subset_1(k6_xcmplx_0(k3_finseq_1(A),B),k1_numbers,k5_numbers) <-> r2_hidden(B,k4_finseq_1(A))))))) # label(t28_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4510 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (v2_funct_1(A) & r2_hidden(B,k2_relat_1(A)) -> k6_xcmplx_0(k3_finseq_1(A),np__1) = k3_finseq_1(k1_finseq_3(A,k1_tarski(B))))))) # label(t97_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4511 (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].
11.83/11.50	4512 (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_tarski(k4_finseq_1(A),k4_finseq_1(B)) <-> r1_xreal_0(k3_finseq_1(A),k3_finseq_1(B))))))) # label(t32_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4513 (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 k1_nat_1(k4_card_1(k10_relat_1(A,C)),k4_card_1(k10_relat_1(B,C))) = k4_card_1(k10_relat_1(k7_finseq_1(A,B),C))))))) # label(t63_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4514 (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].
11.83/11.50	4515 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B all C all D (v2_funct_1(A) & k1_enumset1(B,C,D) = k2_relat_1(A) -> k3_finseq_1(A) = np__3 | D = B | D = C | B = C)))) # label(t110_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4516 (all A all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) & v4_ordinal2(A) -> v1_funct_1(k2_finseq_3(A,B)) & v1_finseq_1(k2_finseq_3(A,B)) & v1_relat_1(k2_finseq_3(A,B)))) # label(dt_k2_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4517 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (k7_relat_1(k1_finseq_2(A),k2_finseq_1(B)) = k1_finseq_2(B) <-> r1_xreal_0(B,A)))))) # label(t57_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4518 (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 (v4_ordinal2(C) -> (all D (v4_ordinal2(D) -> (k2_xcmplx_0(C,D) = k3_finseq_1(A) & k7_relat_1(A,k2_finseq_1(C)) = B -> k4_finseq_1(B) = k2_finseq_1(C)))))))))) # label(t60_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4519 (all A k1_finseq_3(k1_xboole_0,A) = k1_xboole_0) # label(t81_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4520 (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].
11.83/11.50	4521 (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 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].
11.83/11.50	4522 (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].
11.83/11.50	4523 $T # label(t35_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4524 (all A all B (v1_funct_1(A) & v1_finseq_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].
11.83/11.50	4525 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_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].
11.83/11.50	4526 (all A all B (k1_finseq_3(k9_finseq_1(A),B) = k1_xboole_0 <-> r2_hidden(A,B))) # label(t83_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4527 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_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].
11.83/11.50	4528 (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 all D (v4_ordinal2(D) -> (B = k7_relat_1(A,k2_finseq_1(D)) & k2_xcmplx_0(D,np__1) = k3_finseq_1(A) -> (r2_hidden(k1_funct_1(A,k2_xcmplx_0(D,np__1)),C) <-> k1_finseq_3(B,C) = k1_finseq_3(A,C))))))))) # label(t90_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4529 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (k2_relat_1(A) != k1_xboole_0 -> r2_hidden(np__1,k4_finseq_1(A))))) # label(t34_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4530 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (r2_hidden(k2_xcmplx_0(A,B),k2_finseq_1(A)) -> B = np__0))))) # label(t11_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4531 (all A all B (v4_ordinal2(B) -> (k1_tarski(A) = k2_finseq_1(B) -> np__1 = A & B = np__1))) # label(t22_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4532 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (k1_tarski(B) = k2_relat_1(A) & v2_funct_1(A) -> np__1 = k3_finseq_1(A))))) # label(t105_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4533 $T # label(t47_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4534 (all A all B all C (k9_finseq_1(B) = k1_finseq_3(k10_finseq_1(A,B),C) -> B = A | r2_hidden(A,C) & -r2_hidden(B,C))) # label(t86_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4535 (all A (v4_ordinal2(A) -> (all B (v1_funct_1(B) & v1_finseq_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].
11.83/11.50	4536 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (r2_hidden(k6_xcmplx_0(A,B),k2_finseq_1(A)) <-> -r1_xreal_0(A,B)))))) # label(t14_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4537 (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].
11.83/11.50	4538 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_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].
11.83/11.50	4539 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_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].
11.83/11.50	4540 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_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].
11.83/11.50	4541 (all A all B all C (r2_hidden(C,B) -> r2_hidden(A,B) | k1_finseq_3(k10_finseq_1(A,C),B) = k9_finseq_1(A))) # label(t87_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4542 $T # label(t65_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4543 (all A all B (v2_funct_1(k10_finseq_1(A,B)) <-> B != A)) # label(t103_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4544 (all A all B all C (k1_finseq_3(k10_finseq_1(A,B),C) = k9_finseq_1(A) -> A = B | r2_hidden(B,C) & -r2_hidden(A,C))) # label(t88_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4545 (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].
11.83/11.50	4546 (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].
11.83/11.50	4547 (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)) -> (k8_finseq_1(k5_numbers,k14_finseq_1(A),k14_finseq_1(B)) = k14_finseq_1(k2_xboole_0(A,B)) <-> (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (all F (m2_subset_1(F,k1_numbers,k5_numbers) -> -(r2_hidden(E,A) & r2_hidden(F,B) & r1_xreal_0(F,E)))))))))))) # label(t48_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4548 (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].
11.83/11.50	4549 (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(B,A) & r1_xreal_0(A,C) -> k1_nat_1(A,np__1) = k1_funct_1(k14_finseq_1(k4_xboole_0(k2_finseq_1(D),k1_tarski(B))),A)) & (r1_xreal_0(np__1,A) -> k1_funct_1(k14_finseq_1(k4_xboole_0(k2_finseq_1(D),k1_tarski(B))),A) = A | r1_xreal_0(B,A))))))))))) # label(t117_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4550 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B ((exists C (m2_subset_1(C,k1_numbers,k5_numbers) & k3_xboole_0(B,k4_finseq_1(A)) = k2_finseq_1(C))) <-> v1_relat_1(k7_relat_1(A,B)) & v1_funct_1(k7_relat_1(A,B)) & v1_finseq_1(k7_relat_1(A,B)))))) # label(t62_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4551 (all A (v4_ordinal2(A) -> (np__0 != A -> k14_finseq_1(k1_tarski(A)) = k9_finseq_1(A)))) # label(t50_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4552 (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].
11.83/11.50	4553 (all A all B all C (r2_hidden(A,B) -> r2_hidden(C,B) | k1_finseq_3(k10_finseq_1(A,C),B) = k9_finseq_1(C))) # label(t85_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4554 (all A (v4_ordinal2(A) -> (all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_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].
11.83/11.50	4555 (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 & r2_hidden(k1_funct_1(B,E),C) & r1_xreal_0(E,D) & 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].
11.83/11.50	4556 (all A (-v1_xboole_0(A) -> (all B (m2_finseq_1(B,A) -> -(-v1_xboole_0(B) & (all C (m1_subset_1(C,A) -> (all D (m2_finseq_1(D,A) -> -(k8_finseq_1(A,k12_finseq_1(A,C),D) = B & C = k1_funct_1(B,np__1))))))))))) # label(t111_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4557 (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) -> (v2_funct_1(A) & v2_funct_1(B) & 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].
11.83/11.50	4558 (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].
11.83/11.50	4559 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B all C (v4_ordinal2(C) -> (k6_xcmplx_0(k3_finseq_1(A),k4_card_1(k10_relat_1(A,B))) = C -> k4_finseq_1(k1_finseq_3(A,B)) = k2_finseq_1(C)))))) # label(t69_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4560 (all A (v4_ordinal2(A) -> (-r2_hidden(A,k2_finseq_1(A)) <-> k1_xboole_0 = k2_finseq_1(A)))) # label(t7_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4561 (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 all D (v4_ordinal2(D) -> (k7_relat_1(A,k2_finseq_1(D)) = B & k2_xcmplx_0(D,np__1) = k3_finseq_1(A) -> (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].
11.83/11.50	4562 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v1_finset_1(B) -> (r1_tarski(B,k2_relat_1(A)) & v2_funct_1(A) -> k3_finseq_1(k1_finseq_3(A,B)) = k6_xcmplx_0(k3_finseq_1(A),k4_card_1(B))))))) # label(t96_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4563 $T # label(t21_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4564 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_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].
11.83/11.50	4565 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (A != np__0 -> r2_hidden(A,k2_finseq_1(k2_xcmplx_0(A,B)))))))) # label(t10_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4566 (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].
11.83/11.50	4567 (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].
11.83/11.50	4568 (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].
11.83/11.50	4569 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B (k2_relat_1(A) = k1_tarski(B) & v2_funct_1(A) -> A = k9_finseq_1(B))))) # label(t106_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4570 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (all C (v4_ordinal2(C) -> (k2_xcmplx_0(B,np__1) = A & r2_hidden(C,k2_finseq_1(A)) -> B = k3_finseq_1(k14_finseq_1(k4_xboole_0(k2_finseq_1(A),k1_tarski(C))))))))))) # label(t116_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4571 (all A all B all C (B != A & C != A & C != B <-> v2_funct_1(k11_finseq_1(A,B,C)))) # label(t104_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4572 (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 (v4_ordinal2(C) -> (k3_finseq_1(A) = k2_xcmplx_0(C,np__1) & B = k7_relat_1(A,k2_finseq_1(C)) -> k7_finseq_1(B,k9_finseq_1(k1_funct_1(A,k2_xcmplx_0(C,np__1)))) = A))))))) # label(t61_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4573 (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].
11.83/11.50	4574 (all A all B all C (k1_finseq_3(k10_finseq_1(A,B),C) = k10_finseq_1(A,B) <-> -r2_hidden(B,C) & -r2_hidden(A,C))) # label(t89_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4575 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> k1_finseq_3(A,k1_xboole_0) = A)) # label(t78_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4576 (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) -> B = C | k3_finseq_1(A) = np__2)))) # label(t107_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4577 (all A all B all C all D k11_finseq_1(B,C,D) != k9_finseq_1(A)) # label(t41_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4578 (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].
11.83/11.50	4579 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B k3_finseq_1(k1_finseq_3(A,B)) = k6_xcmplx_0(k3_finseq_1(A),k4_card_1(k10_relat_1(A,B)))))) # label(t66_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4580 (all A all B all C (k1_finseq_3(k10_finseq_1(A,B),C) = k1_xboole_0 <-> r2_hidden(A,C) & r2_hidden(B,C))) # label(t84_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4581 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (v4_ordinal2(B) -> (A = k7_relat_1(A,k2_finseq_1(B)) <-> r1_xreal_0(k3_finseq_1(A),B)))))) # label(t55_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4582 (all A all B (k1_finseq_3(k9_finseq_1(A),B) = k9_finseq_1(A) <-> -r2_hidden(A,B))) # label(t82_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4583 (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].
11.83/11.50	4584 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (r1_xboole_0(B,k2_relat_1(A)) <-> k1_finseq_3(A,B) = A)))) # label(t76_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4585 (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].
11.83/11.50	4586 $T # label(t36_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4587 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B (r1_tarski(k2_relat_1(A),B) <-> k1_xboole_0 = k1_finseq_3(A,B))))) # label(t75_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4588 (all A all B all C (v4_ordinal2(C) -> (k2_tarski(A,B) = k2_finseq_1(C) -> A = B | C = np__2 & k2_tarski(np__1,np__2) = k2_tarski(A,B)))) # label(t23_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4589 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B k5_relat_1(k14_finseq_1(k4_xboole_0(k4_finseq_1(A),k10_relat_1(A,B))),A) = k1_finseq_3(A,B)))) # label(d1_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4590 $T # label(t37_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4591 (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].
11.83/11.50	4592 (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)) & (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> -(C = k3_finseq_1(k2_finseq_3(A,B)) & k1_nat_1(C,np__1) = k3_finseq_1(B))))) & (-r2_hidden(A,k4_finseq_1(B)) -> k2_finseq_3(A,B) = B))))) # label(t113_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4593 (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_tarski(A,k2_finseq_1(B)) & r1_xreal_0(np__1,E) & r1_xreal_0(E,F) & D = k1_funct_1(k14_finseq_1(A),E) & C = k1_funct_1(k14_finseq_1(A),F) & r1_xreal_0(F,k3_finseq_1(k14_finseq_1(A))) & -r1_xreal_0(D,C)))))))))))) # label(t46_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4594 (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) & k10_finseq_1(B,C) != A & k10_finseq_1(C,B) != A & B != C & v2_funct_1(A))))) # label(t108_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4595 (all A (v1_funct_1(A) & v1_finseq_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) & v2_funct_1(k11_finseq_1(B,C,D)) -> k3_finseq_1(A) = np__3)))) # label(t109_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4596 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B -(np__0 = B & r2_hidden(B,k4_finseq_1(A)))))) # label(t26_finseq_3) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4597 (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) -> k2_ordinal1(k1_ordinal3(A,C),B) = k1_ordinal3(A,k2_ordinal1(C,B)))))))) # label(t16_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4598 (all A (v1_relat_1(A) & v1_ordinal2(A) & v5_ordinal1(A) & v1_funct_1(A) -> r1_tarski(k2_relat_1(A),k8_ordinal2(A)))) # label(t20_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4599 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (m1_ordinal4(B,A) -> r2_hidden(k4_classes1(B),A))))) # label(t33_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4600 $T # label(dt_k1_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	4601 (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].
11.83/11.50	4602 (all A (v3_ordinal1(A) -> (all B (v1_funct_1(B) & v5_ordinal1(B) & v1_ordinal2(B) & v1_relat_1(B) -> (v4_ordinal1(k1_relat_1(B)) & v2_ordinal2(B) & r1_ordinal2(A,B) -> r4_zfrefle1(A,k1_relat_1(B)) | k1_relat_1(B) = k1_xboole_0))))) # label(t24_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.50	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) -> (k1_xboole_0 = k2_zf_model(C) -> (r2_zf_model(A,C) <-> r2_zf_model(B,C)))))))))) # label(d2_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4604 (all A -((all B -p1_s1_zfrefle1(A,B)) & r2_hidden(A,f1_s1_zfrefle1))) -> (exists 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)))) & v1_funct_1(A) & v1_relat_1(A))) # label(s1_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4605 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r4_zfrefle1(B,A) & r4_zfrefle1(A,B) -> B = A))))) # label(t23_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4606 (all A (-v1_xboole_0(A) & v1_classes2(A) -> -((all B (m1_ordinal4(B,A) -> (all C (-v1_xboole_0(C) -> -(k4_classes1(B) = C & r3_zfrefle1(C,A) & r4_zfrefle1(B,k5_ordinal2)))))) & r2_hidden(k5_ordinal2,A)))) # label(t37_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4607 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,B,k1_funct_2(k2_ordinal2(A),k2_ordinal2(A))) & v1_funct_2(C,B,k1_funct_2(k2_ordinal2(A),k2_ordinal2(A))) & v1_funct_1(C) -> -((all D (m2_ordinal4(D,A) -> -(v2_ordinal2(D) & v3_ordinal2(D) & (all E (m1_ordinal4(E,A) -> k4_ordinal4(A,D,k6_ordinal4(A,E)) = 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)))))))) & (all E (m1_ordinal4(E,A) -> (v4_ordinal1(E) -> k8_ordinal2(k2_ordinal1(D,E)) = k4_ordinal4(A,D,E) | k2_ordinal4(A) = E))) & k4_ordinal4(A,D,k2_ordinal4(A)) = k2_ordinal4(A)))) & r2_hidden(k1_card_1(B),k1_card_1(A))))))))) # label(t14_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4608 (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].
11.83/11.51	4609 (all A (v3_ordinal1(A) -> (all B (v1_funct_1(B) & v5_ordinal1(B) & v1_ordinal2(B) & v1_relat_1(B) -> (v2_ordinal2(B) & v3_ordinal2(B) -> v3_ordinal2(k1_ordinal3(A,B))))))) # label(t17_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4610 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r4_zfrefle1(A,B) <-> (exists C (v1_relat_1(C) & v1_funct_1(C) & r1_tarski(k2_relat_1(C),A) & v2_ordinal2(C) & k8_ordinal2(C) = A & B = k1_relat_1(C) & v1_ordinal2(C) & v5_ordinal1(C)))))))) # label(d5_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4611 (all A (-v1_xboole_0(A) -> r1_zfrefle1(A,k1_subset_1(k9_zf_lang)))) # label(t1_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4612 (all A (-v1_xboole_0(A) & v1_classes2(A) -> -((all B (m1_ordinal4(B,A) -> (all C (-v1_xboole_0(C) -> -(v1_zf_model(C) & C = k4_classes1(B) & r4_zfrefle1(B,k5_ordinal2)))))) & r2_hidden(k5_ordinal2,A)))) # label(t42_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4613 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (v2_relat_1(B) & v1_zf_refle(B,A) & m1_ordinal1(B,A) -> -(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 (m2_ordinal4(C,A) -> -((all D (m1_ordinal4(D,A) -> (D = k4_ordinal4(A,C,D) -> k1_xboole_0 = D | r2_zfrefle1(k5_zf_refle(A,B,D),k4_zf_refle(A,B))))) & v3_ordinal2(C) & v2_ordinal2(C)))) & (all C (m1_ordinal4(C,A) -> (v4_ordinal1(C) -> C = k1_xboole_0 | k3_card_3(k2_ordinal1(B,C)) = k5_zf_refle(A,B,C))))))))) # label(t38_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4614 (all A (v3_ordinal1(A) -> r4_zfrefle1(k1_ordinal1(A),k4_ordinal2))) # label(t25_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4615 (all A (-v1_xboole_0(A) & v1_classes2(A) -> -((all B (m2_ordinal4(B,A) -> -((all C (m1_ordinal4(C,A) -> (all D (-v1_xboole_0(D) -> (D = k4_classes1(C) & k4_ordinal4(A,B,C) = C -> r2_zfrefle1(D,A) | C = k1_xboole_0))))) & v3_ordinal2(B) & v2_ordinal2(B)))) & r2_hidden(k5_ordinal2,A)))) # label(t39_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4616 (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].
11.83/11.51	4617 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> -((all C (v3_ordinal1(C) -> A != k1_ordinal1(C))) & r4_zfrefle1(A,k1_ordinal1(B))))))) # label(t26_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4618 (all A (v3_ordinal1(A) -> (all B (v1_funct_1(B) & v1_ordinal2(B) & v5_ordinal1(B) & v1_relat_1(B) -> (v2_ordinal2(B) -> v2_ordinal2(k1_ordinal3(A,B))))))) # label(t15_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4619 (all A all B (-v1_xboole_0(B) & -v1_xboole_0(A) -> r3_zfrefle1(A,A))) # label(reflexivity_r3_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4620 $T # label(t11_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4621 $T # label(t18_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	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].
11.83/11.51	4623 (all A (m2_finseq_1(A,k5_numbers) & v1_zf_lang(A) -> (exists B (m2_finseq_1(B,k5_numbers) & (all C (-v1_xboole_0(C) -> (r2_zf_model(C,A) <-> r2_zf_model(C,B)))) & k1_xboole_0 = k2_zf_model(B) & v1_zf_lang(B))))) # label(t6_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4624 (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].
11.83/11.51	4625 (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].
11.83/11.51	4626 (all A (-v1_xboole_0(A) -> (v1_zf_model(A) -> r1_zfrefle1(A,k2_zfrefle1)))) # label(t4_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4627 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r4_zfrefle1(A,B) -> (v4_ordinal1(A) <-> v4_ordinal1(B))))))) # label(t27_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4628 (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].
11.83/11.51	4629 (all A (v1_relat_1(A) & v1_funct_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].
11.83/11.51	4630 (all A (v3_ordinal1(A) -> (r4_zfrefle1(A,k1_xboole_0) -> k1_xboole_0 = A))) # label(t28_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4631 (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].
11.83/11.51	4632 (all A all B (k1_card_1(A) = k1_card_1(B) | r2_wellord2(A,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].
11.83/11.51	4633 (all A all B (v1_funct_1(B) & v1_ordinal2(B) & v5_ordinal1(B) & v1_relat_1(B) -> (r2_hidden(A,k2_relat_1(B)) -> v3_ordinal1(A)))) # label(t19_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4634 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (r3_zfrefle1(A,B) <-> r1_tarski(A,B) & (all C (m2_finseq_1(C,k5_numbers) & v1_zf_lang(C) -> (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(A,D,C) <-> r1_zf_model(B,k2_zf_lang1(k1_zf_lang,A,B,D),C))))))))))) # label(d3_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4635 (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) & r2_zfrefle1(D,A) & k4_classes1(C) = D))))) & r2_hidden(k5_ordinal2,A)))))) # label(t40_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	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) & (all D (m1_ordinal4(D,A) -> -(r2_hidden(B,D) & k4_ordinal4(A,C,D) = D & r4_zfrefle1(D,k5_ordinal2)))) & v3_ordinal2(C) & v2_ordinal2(C)))))))) # label(t31_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4637 (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_tarski(B,C) -> r1_zfrefle1(A,B)))))))) # label(t2_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4638 (all A all B (v3_ordinal1(A) & v3_ordinal1(B) -> r4_zfrefle1(A,A))) # label(reflexivity_r4_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4639 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (v1_zf_refle(B,A) & m1_ordinal1(B,A) & v2_relat_1(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))))))) & (all C (m2_ordinal4(C,A) -> -(v3_ordinal2(C) & (all D (m1_ordinal4(D,A) -> (k4_ordinal4(A,C,D) = D -> D = k1_xboole_0 | r3_zfrefle1(k5_zf_refle(A,B,D),k4_zf_refle(A,B))))) & v2_ordinal2(C)))) & (all C (m1_ordinal4(C,A) -> (v4_ordinal1(C) -> C = k1_xboole_0 | k3_card_3(k2_ordinal1(B,C)) = k5_zf_refle(A,B,C)))) & r2_hidden(k5_ordinal2,A)))))) # label(t32_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4640 (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].
11.83/11.51	4641 (all A (-v1_xboole_0(A) & v1_classes2(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].
11.83/11.51	4642 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (m1_ordinal4(B,A) -> (all C (m2_ordinal4(C,A) -> -(v2_ordinal2(C) & (all D (m1_ordinal4(D,A) -> -(k4_ordinal4(A,C,D) = D & r2_hidden(B,D)))) & v3_ordinal2(C) & r2_hidden(k5_ordinal2,A)))))))) # label(t30_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4643 (all A (v1_classes2(A) & -v1_xboole_0(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) & r3_zfrefle1(D,A) & D = k4_classes1(C))))))))))) # label(t36_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4644 (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 & k4_ordinal4(A,B,C) = C -> k1_xboole_0 = C | r3_zfrefle1(D,A)))))) & v2_ordinal2(B)))) & r2_hidden(k5_ordinal2,A)))) # label(t35_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4645 (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].
11.83/11.51	4646 (all A ((all B (-(B != k6_zf_model & B != k10_zf_model & (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)) & B = k11_zf_model(C)))) & k9_zf_model != B & B != k8_zf_model & k7_zf_model != B) & r2_hidden(B,k9_zf_lang) <-> r2_hidden(B,A))) <-> k1_zfrefle1 = A)) # label(d4_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4647 (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].
11.83/11.51	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(A,C) <-> r1_zfrefle1(B,C))))))))) # label(t8_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4649 (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].
11.83/11.51	4650 (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) & r2_zfrefle1(C,A) & C = k4_classes1(B))))))))) # label(t41_zfrefle1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4651 (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].
11.83/11.51	4652 $T # label(t7_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4653 (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].
11.83/11.51	4654 (all A (m1_subset_1(A,k8_qc_lang1) -> A = k10_qc_lang1(A))) # label(d12_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4655 (all A (m1_subset_1(A,k8_qc_lang1) -> (k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1)) = np__3 -> 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)) & (np__2 = k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1)) -> v4_qc_lang1(A)) & (np__1 = k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1)) -> v3_qc_lang1(A)) & (np__0 = k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1)) -> A = k11_qc_lang1))) # label(t36_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4656 $T # label(t6_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4657 (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].
11.83/11.51	4658 $T # label(t26_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4659 $T # label(t39_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4660 (all A (m1_subset_1(A,k8_qc_lang1) -> (v2_qc_lang1(A) <-> (exists B ((exists C (m2_subset_1(C,k5_qc_lang1,k7_qc_lang1(B)) & (exists D (m1_qc_lang1(D,B) & k9_qc_lang1(C,D) = A)))) & m2_subset_1(B,k1_numbers,k5_numbers)))))) # label(d17_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4661 $T # label(t43_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4662 (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].
11.83/11.51	4663 $T # label(t19_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4664 $T # label(t42_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4665 (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].
11.83/11.51	4666 $T # label(t8_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4667 $T # label(t18_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4668 (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 <-> k12_qc_lang1(B) = A)))))) # label(d23_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4669 $T # label(t14_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4670 $T # label(t44_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4671 (all A all B (m2_subset_1(B,k1_numbers,k5_numbers) -> ((exists C (C = A & B = k6_qc_lang1(C) & m1_subset_1(C,k5_qc_lang1))) <-> r2_hidden(A,a_1_0_qc_lang1(B))))) # label(fraenkel_a_1_0_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4672 (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].
11.83/11.51	4673 (all A (m1_subset_1(A,k8_qc_lang1) -> (v4_qc_lang1(A) -> (all B (m1_subset_1(B,k8_qc_lang1) -> ((exists C (k13_qc_lang1(B,C) = A & m1_subset_1(C,k8_qc_lang1))) <-> k18_qc_lang1(A) = B)))))) # label(d24_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4674 $T # label(t28_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4675 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k5_qc_lang1,k7_qc_lang1(A)) -> A = k6_qc_lang1(B))))) # label(t35_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4676 (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].
11.83/11.51	4677 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k7_finseq_1(k7_finseq_1(k9_finseq_1(k4_tarski(np__2,np__0)),k10_qc_lang1(A)),k10_qc_lang1(B)) = k13_qc_lang1(A,B))))) # label(d15_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4678 (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].
11.83/11.51	4679 (all A (m1_subset_1(A,k8_qc_lang1) -> k7_finseq_1(k9_finseq_1(k4_tarski(np__1,np__0)),k10_qc_lang1(A)) = k12_qc_lang1(A))) # label(d14_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4680 $T # label(t15_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4681 (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].
11.83/11.51	4682 $T # label(t20_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4683 (all A ((exists B exists C (m2_subset_1(B,k1_numbers,k5_numbers) & m2_subset_1(C,k1_numbers,k5_numbers) & r1_xreal_0(np__7,B) & A = k4_tarski(B,C))) <-> r2_hidden(A,a_0_0_qc_lang1))) # label(fraenkel_a_0_0_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4684 $T # label(t32_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4685 $T # label(t11_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4686 $T # label(t12_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4687 (all A (m1_subset_1(A,k8_qc_lang1) -> (v5_qc_lang1(A) -> (all B (m1_subset_1(B,k8_qc_lang1) -> ((exists C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) & k14_qc_lang1(C,B) = A)) <-> k21_qc_lang1(A) = B)))))) # label(d27_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4688 (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 ((exists E (B = E & k9_qc_lang1(E,D) = A & m2_subset_1(E,k5_qc_lang1,k7_qc_lang1(C)))) & m1_qc_lang1(D,C))))) <-> B = k15_qc_lang1(A))))))) # label(d21_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4689 (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].
11.83/11.51	4690 (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].
11.83/11.51	4691 $T # label(t25_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4692 $T # label(t9_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.51	4693 (exists A (v1_funct_1(A) & v1_funct_2(A,k8_qc_lang1,f1_s3_qc_lang1) & k8_funct_2(k8_qc_lang1,f1_s3_qc_lang1,A,k11_qc_lang1) = f2_s3_qc_lang1 & (all B (m1_subset_1(B,k8_qc_lang1) -> (v2_qc_lang1(B) -> f3_s3_qc_lang1(B) = k8_funct_2(k8_qc_lang1,f1_s3_qc_lang1,A,B)) & (v5_qc_lang1(B) -> f6_s3_qc_lang1(B,k8_funct_2(k8_qc_lang1,f1_s3_qc_lang1,A,k21_qc_lang1(B))) = k8_funct_2(k8_qc_lang1,f1_s3_qc_lang1,A,B)) & (v4_qc_lang1(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))) = k8_funct_2(k8_qc_lang1,f1_s3_qc_lang1,A,B)) & (v3_qc_lang1(B) -> k8_funct_2(k8_qc_lang1,f1_s3_qc_lang1,A,B) = f4_s3_qc_lang1(k8_funct_2(k8_qc_lang1,f1_s3_qc_lang1,A,k17_qc_lang1(B)))))) & m2_relset_1(A,k8_qc_lang1,f1_s3_qc_lang1))) # label(s3_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.52	4694 $T # label(t3_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.52	4695 (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].
11.83/11.52	4696 $T # label(t41_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.52	4697 $T # label(dt_k1_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.52	4698 (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) -> k7_finseq_1(k12_finseq_1(k7_qc_lang1(A),B),C) = k9_qc_lang1(B,C))))))) # label(t23_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.52	4699 (all A (-v1_xboole_0(A) -> ((all B (-v1_xboole_0(B) -> (v1_qc_lang1(B) -> r1_tarski(A,B)))) & v1_qc_lang1(A) <-> A = k8_qc_lang1))) # label(d10_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.52	4700 $T # label(t29_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.52	4701 (all A all B (m2_finseq_1(B,k1_qc_lang1) -> ((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)) <-> r2_hidden(A,a_1_1_qc_lang1(B))))) # label(fraenkel_a_1_1_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.52	4702 (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)))))))) & p1_s1_qc_lang1(k11_qc_lang1) & (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))))) -> (all A (m1_subset_1(A,k8_qc_lang1) -> p1_s1_qc_lang1(A))) # label(s1_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.52	4703 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k5_qc_lang1,k7_qc_lang1(A)) -> k1_mcart_1(B) != np__2 & np__3 != k1_mcart_1(B) & k1_mcart_1(B) != np__1 & k1_mcart_1(B) != np__0)))) # label(t48_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.52	4704 $T # label(t17_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.52	4705 (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].
11.83/11.52	4706 $T # label(t38_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.52	4707 (all A (m1_subset_1(A,k8_qc_lang1) -> (v4_qc_lang1(A) -> (all B (m1_subset_1(B,k8_qc_lang1) -> ((exists C (m1_subset_1(C,k8_qc_lang1) & A = k13_qc_lang1(C,B))) <-> k19_qc_lang1(A) = B)))))) # label(d25_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.52	4708 (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) = 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)))))) # label(d16_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.52	4709 (all A (m1_subset_1(A,k8_qc_lang1) -> -(-v2_qc_lang1(A) & -v3_qc_lang1(A) & -v4_qc_lang1(A) & -v5_qc_lang1(A) & A != k11_qc_lang1))) # label(t33_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.52	4710 (all A (m1_subset_1(A,k8_qc_lang1) -> -((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)) & (v4_qc_lang1(A) -> k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1)) = np__2) & (v5_qc_lang1(A) -> np__3 = k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1))) & (v3_qc_lang1(A) -> k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1)) = np__1) & np__0 = k1_mcart_1(k1_funct_1(k10_qc_lang1(k11_qc_lang1),np__1)))) # label(t49_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.52	4711 (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 (m2_subset_1(D,k5_qc_lang1,k7_qc_lang1(C)) & (exists E (A = k9_qc_lang1(D,E) & B = E & m1_qc_lang1(E,C))))) & m2_subset_1(C,k1_numbers,k5_numbers))) <-> B = k16_qc_lang1(A))))))) # label(d22_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.52	4712 $T # label(t16_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.52	4713 (all A (m1_subset_1(A,k8_qc_lang1) -> ((exists B (k12_qc_lang1(B) = A & m1_subset_1(B,k8_qc_lang1))) <-> v3_qc_lang1(A)))) # label(d18_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.52	4714 $T # label(t27_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.52	4715 (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].
11.83/11.52	4716 (all A all B (m1_subset_1(B,k8_qc_lang1) -> (r2_hidden(A,a_1_2_qc_lang1(B)) <-> (exists C (m2_subset_1(C,k1_numbers,k5_numbers) & r1_xreal_0(C,k3_finseq_1(k16_qc_lang1(B))) & r2_hidden(k1_funct_1(k16_qc_lang1(B),C),k2_qc_lang1) & r1_xreal_0(np__1,C) & A = k1_funct_1(k16_qc_lang1(B),C)))))) # label(fraenkel_a_1_2_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.52	4717 (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].
11.83/11.52	4718 (all A (m1_subset_1(A,k2_qc_lang1) -> k23_qc_lang1(A) = k1_tarski(A))) # label(redefinition_k23_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.52	4719 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (v1_finseq_1(C) & v1_funct_1(C) & v1_relat_1(C) -> (k7_finseq_1(k10_qc_lang1(B),C) = k10_qc_lang1(A) -> k10_qc_lang1(A) = k10_qc_lang1(B)))))))) # label(t37_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.52	4720 $T # label(t13_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.52	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].
11.83/11.52	4722 (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].
11.83/11.52	4723 (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].
11.83/11.52	4724 (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].
11.83/11.52	4725 (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].
11.83/11.52	4726 (all A (m1_subset_1(A,k8_qc_lang1) -> -(v5_qc_lang1(A) & v4_qc_lang1(A)) & -(v3_qc_lang1(A) & v5_qc_lang1(A)) & -(v4_qc_lang1(A) & v3_qc_lang1(A)) & -(v5_qc_lang1(A) & v2_qc_lang1(A)) & -(v4_qc_lang1(A) & v2_qc_lang1(A)) & -(v2_qc_lang1(A) & v3_qc_lang1(A)))) # label(t51_qc_lang1_AndRHS_AndLHS) # label(axiom) # label(non_clause).  [assumption].
11.83/11.52	4727 $T # label(t24_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.52	4728 $T # label(t22_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.52	4729 (all A all B (m1_subset_1(A,k8_qc_lang1) & m1_subset_1(B,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].
11.83/11.52	4730 (all A (m1_subset_1(A,k8_qc_lang1) -> (v2_qc_lang1(A) -> np__1 != 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 & 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__0))) # label(t50_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.83/11.52	4731 (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].
11.88/11.53	4732 (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(k19_qc_lang1(A)) & p1_s2_qc_lang1(k18_qc_lang1(A)) & v4_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)) & (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].
11.88/11.53	4733 (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].
11.88/11.53	4734 (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 (k14_qc_lang1(B,C) = A & m1_subset_1(C,k8_qc_lang1))) <-> k20_qc_lang1(A) = B)))))) # label(d26_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4735 $T # label(t31_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4736 (all A (m1_subset_1(A,k1_zfmisc_1(k13_finseq_1(k12_mcart_1(k1_numbers,k1_numbers,k5_numbers,k5_numbers)))) & (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))))))) & (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)))) & (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)))))) & r2_hidden(k9_finseq_1(k4_tarski(np__0,np__0)),A) <-> v1_qc_lang1(A))) # label(d9_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4737 $T # label(t30_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4738 (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].
11.88/11.53	4739 $T # label(t5_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4740 (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].
11.88/11.53	4741 (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].
11.88/11.53	4742 $T # label(dt_k5_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4743 $T # label(t40_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4744 (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].
11.88/11.53	4745 (all A (m1_subset_1(A,k8_qc_lang1) -> ((exists B ((exists C (m1_subset_1(C,k8_qc_lang1) & k14_qc_lang1(B,C) = A)) & m2_subset_1(B,k1_qc_lang1,k2_qc_lang1))) <-> v5_qc_lang1(A)))) # label(d20_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4746 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k1_zfmisc_1(k2_qc_lang1)) -> ((exists 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) -> (v2_qc_lang1(D) -> a_1_2_qc_lang1(D) = k8_funct_2(k8_qc_lang1,k1_zfmisc_1(k2_qc_lang1),C,D)) & (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)) & (v5_qc_lang1(D) -> k8_funct_2(k8_qc_lang1,k1_zfmisc_1(k2_qc_lang1),C,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)))) & (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)) & 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)) & v1_funct_1(C))) <-> B = k24_qc_lang1(A)))))) # label(d29_qc_lang1) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4747 (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].
11.88/11.53	4748 (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].
11.88/11.53	4749 (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].
11.88/11.53	4750 (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].
11.88/11.53	4751 (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].
11.88/11.53	4752 (all A (m1_subset_1(A,k5_qc_lang1) -> (all B (m2_finseq_1(B,k1_qc_lang1) -> (k3_finseq_1(B) = k6_qc_lang1(A) -> 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].
11.88/11.53	4753 (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].
11.88/11.53	4754 (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].
11.88/11.53	4755 (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].
11.88/11.53	4756 (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].
11.88/11.53	4757 (all A (m1_subset_1(A,k8_qc_lang1) -> (v1_qc_lang2(A) <-> (exists B (m1_subset_1(B,k8_qc_lang1) & (exists C (m1_subset_1(C,k8_qc_lang1) & A = k3_qc_lang2(B,C)))))))) # label(d10_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4758 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> r3_qc_lang2(A,k3_qc_lang2(A,B)) & r3_qc_lang2(B,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].
11.88/11.53	4759 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k15_qc_lang2(k4_qc_lang2(A,B)) = 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))))))) # label(t115_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4760 (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].
11.88/11.53	4761 (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].
11.88/11.53	4762 (all A (m1_subset_1(A,k8_qc_lang1) -> ((exists B (m1_subset_1(B,k8_qc_lang1) & (exists C (A = k2_qc_lang2(B,C) & m1_subset_1(C,k8_qc_lang1))))) <-> v2_qc_lang2(A)))) # label(d11_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4763 $T # label(t15_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4764 (all A (m1_subset_1(A,k8_qc_lang1) -> (k15_qc_lang2(A) = k1_tarski(A) <-> v2_qc_lang1(A) | A = k11_qc_lang1))) # label(t116_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	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 (m1_subset_1(C,k8_qc_lang1) -> k14_qc_lang1(A,k14_qc_lang1(B,C)) = k6_qc_lang2(A,B,C))))))) # label(d6_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4766 (all A (m1_subset_1(A,k8_qc_lang1) -> k12_qc_lang2(k18_qc_lang1(A)) = k13_qc_lang2(A))) # label(d18_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4767 (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) -> k15_qc_lang2(k9_qc_lang1(B,C)) = k1_tarski(k9_qc_lang1(B,C)))))))) # label(t108_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4768 (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(C,D) = k4_qc_lang2(A,B) -> B = D & C = A))))))))) # label(t18_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4769 (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].
11.88/11.53	4770 $T # label(t41_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4771 $T # label(t69_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4772 $T # label(t36_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4773 (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) -> k14_qc_lang1(A,k6_qc_lang2(B,C,D)) = k8_qc_lang2(A,B,C,D))))))))) # label(d8_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4774 (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].
11.88/11.53	4775 $T # label(t57_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4776 (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) -> (k8_qc_lang2(A,B,C,D) = k14_qc_lang1(F,E) -> E = k6_qc_lang2(B,C,D) & F = A))))))))))))) # label(t28_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4777 (all A (m1_subset_1(A,k8_qc_lang1) -> k14_qc_lang2(A) = k11_qc_lang2(k18_qc_lang1(A)))) # label(d19_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4778 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (r2_qc_lang2(A,B) <-> (exists C (m2_subset_1(C,k1_numbers,k5_numbers) & (exists D (B = k1_funct_1(D,C) & (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> -(r1_xreal_0(np__1,E) & -r1_xreal_0(C,E) & (all F (m1_subset_1(F,k8_qc_lang1) -> (all G (m1_subset_1(G,k8_qc_lang1) -> -(k1_funct_1(D,E) = F & r1_qc_lang2(F,G) & G = k1_funct_1(D,k1_nat_1(E,np__1)))))))))) & A = k1_funct_1(D,np__1) & k3_finseq_1(D) = C & r1_xreal_0(np__1,C) & v1_finseq_1(D) & v1_funct_1(D) & v1_relat_1(D)))))))))) # label(d21_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4779 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> A = k12_qc_lang2(k2_qc_lang2(A,B)) & k13_qc_lang1(A,k12_qc_lang1(B)) = k17_qc_lang1(k2_qc_lang2(A,B)) & k11_qc_lang2(k2_qc_lang2(A,B)) = B)))) # label(t46_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4780 (all A (m1_subset_1(A,k8_qc_lang1) -> (v3_qc_lang2(A) -> v2_qc_lang2(k19_qc_lang1(A)) & v2_qc_lang2(k18_qc_lang1(A)) & v4_qc_lang1(A)))) # label(t51_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4781 (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].
11.88/11.53	4782 (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)),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))) = k15_qc_lang2(k3_qc_lang2(A,B)))))) # label(t114_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4783 (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].
11.88/11.53	4784 (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) -> A = F & E = k7_qc_lang2(B,C,D)))))))))))))) # label(t31_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4785 (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].
11.88/11.53	4786 (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].
11.88/11.53	4787 (all A all B (m1_subset_1(A,k8_qc_lang1) & m1_subset_1(B,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].
11.88/11.53	4788 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (v4_qc_lang1(A) -> (r1_qc_lang2(B,A) <-> B = k18_qc_lang1(A) | k19_qc_lang1(A) = B)))))) # label(t66_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4789 (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) -> (A = B | A = C <-> r1_qc_lang2(A,k13_qc_lang1(B,C))))))))) # label(t62_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4790 (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].
11.88/11.53	4791 $T # label(t68_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4792 (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].
11.88/11.53	4793 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> k15_qc_lang2(k14_qc_lang1(B,A)) = k2_xboole_0(k15_qc_lang2(A),k1_tarski(k14_qc_lang1(B,A))))))) # label(t112_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4794 (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].
11.88/11.53	4795 (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].
11.88/11.53	4796 $T # label(t37_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4797 (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].
11.88/11.53	4798 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> A = k18_qc_lang1(k13_qc_lang1(A,B)) & k19_qc_lang1(k13_qc_lang1(A,B)) = B)))) # label(t5_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4799 (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].
11.88/11.53	4800 (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)) & k9_qc_lang2(A,B,C,D) = k5_qc_lang2(A,k7_qc_lang2(B,C,D)))))))))) # label(t26_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4801 (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) -> k5_qc_lang2(B,D) = E & C = A))))))))))) # label(t24_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4802 (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].
11.88/11.53	4803 (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 & A = B & H = G & E = F))))))))))))))))) # label(t30_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4804 (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].
11.88/11.53	4805 (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(A,B) = k13_qc_lang1(C,D) -> A = C & B = D))))))))) # label(t3_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4806 (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,k13_qc_lang1(B,C)) <-> r2_qc_lang2(A,C) | r2_qc_lang2(A,B)))))))) # label(t89_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4807 (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(C,E,A) = k6_qc_lang2(D,F,B) -> D = C & A = B & E = F))))))))))))) # label(t21_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4808 (all A (m1_subset_1(A,k8_qc_lang1) -> (v3_qc_lang1(A) -> k2_xboole_0(k15_qc_lang2(k17_qc_lang1(A)),k1_tarski(A)) = k15_qc_lang2(A)))) # label(t117_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4809 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (v3_qc_lang1(A) -> (B = k17_qc_lang1(A) <-> r1_qc_lang2(B,A))))))) # label(t65_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4810 (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(B,C) & r2_qc_lang2(A,B)) & -(r2_qc_lang2(A,B) & r1_qc_lang2(B,C)) & -(r1_qc_lang2(A,B) & r2_qc_lang2(B,C)) & -(r3_qc_lang2(B,C) & r1_qc_lang2(A,B)) & -(r1_qc_lang2(B,C) & r3_qc_lang2(A,B)) & -(r3_qc_lang2(A,B) & r2_qc_lang2(B,C))) -> r3_qc_lang2(A,C)))))))) # label(t83_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4811 $T # label(t40_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4812 $T # label(t35_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4813 (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].
11.88/11.53	4814 (all A (m1_subset_1(A,k8_qc_lang1) -> k15_qc_lang2(k12_qc_lang1(A)) = k2_xboole_0(k15_qc_lang2(A),k1_tarski(k12_qc_lang1(A))))) # label(t110_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4815 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B ((all C ((exists D (m1_subset_1(D,k8_qc_lang1) & C = D & r2_qc_lang2(D,A))) <-> r2_hidden(C,B))) <-> B = k15_qc_lang2(A))))) # label(d23_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4816 (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].
11.88/11.53	4817 (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].
11.88/11.53	4818 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k4_qc_lang2(A,B) = k13_qc_lang1(k2_qc_lang2(A,B),k2_qc_lang2(B,A)))))) # label(d4_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4819 (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)) | -r3_qc_lang2(A,B) & -r2_qc_lang2(A,B) & -r1_qc_lang2(A,B)))))))) # label(t120_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4820 $T # label(d17_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4821 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> B = k14_qc_lang2(k4_qc_lang2(A,B)) & k2_qc_lang2(B,A) = k19_qc_lang1(k4_qc_lang2(A,B)) & k2_qc_lang2(A,B) = k18_qc_lang1(k4_qc_lang2(A,B)) & k13_qc_lang2(k4_qc_lang2(A,B)) = A)))) # label(t47_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4822 (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].
11.88/11.53	4823 (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].
11.88/11.53	4824 (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(A,B) = k3_qc_lang2(C,D) -> C = A & B = D))))))))) # label(t16_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4825 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (r2_qc_lang2(A,B) & r2_qc_lang2(B,A) -> A = B))))) # label(t78_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4826 (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 & k17_qc_lang1(k3_qc_lang2(A,B)) = k13_qc_lang1(k12_qc_lang1(A),k12_qc_lang1(B)) & B = k11_qc_lang2(k3_qc_lang2(A,B)))))) # label(t45_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4827 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> -(r1_qc_lang2(A,B) & r1_xreal_0(k3_finseq_1(k10_qc_lang1(B)),k3_finseq_1(k10_qc_lang1(A)))))))) # label(t71_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4828 (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(A,B) <-> r3_qc_lang2(A,k14_qc_lang1(C,B))))))))) # label(t91_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4829 (all A (m1_subset_1(A,k8_qc_lang1) -> ((exists B ((exists C (k4_qc_lang2(B,C) = A & 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].
11.88/11.53	4830 (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].
11.88/11.53	4831 (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].
11.88/11.53	4832 $T # label(t10_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4833 (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].
11.88/11.53	4834 (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) -> G = H & B = A & E = F & C = D))))))))))))))))) # label(t27_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4835 $T # label(t12_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4836 (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].
11.88/11.53	4837 (all A (m1_subset_1(A,k8_qc_lang1) -> (k11_qc_lang1 = A | k1_qc_lang2 = A <-> r2_qc_lang2(A,k1_qc_lang2)))) # label(t101_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4838 $T # label(dt_k15_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4839 (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].
11.88/11.53	4840 (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].
11.88/11.53	4841 (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(C,E,A) = k7_qc_lang2(D,F,B) -> A = B & E = F & D = C))))))))))))) # label(t23_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4842 $T # label(t44_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4843 (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].
11.88/11.53	4844 (all A (m1_subset_1(A,k8_qc_lang1) -> k12_qc_lang2(A) = k18_qc_lang1(k17_qc_lang1(A)))) # label(d16_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4845 (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) -> E = k14_qc_lang1(C,D) & B = G & A = F))))))))))))))) # label(t29_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4846 (all A all B (m1_subset_1(B,k8_qc_lang1) & m1_subset_1(A,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].
11.88/11.53	4847 (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) -> A = C & D = B))))))))) # label(t17_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4848 (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].
11.88/11.53	4849 (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].
11.88/11.53	4850 (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].
11.88/11.53	4851 (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].
11.88/11.53	4852 (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].
11.88/11.53	4853 (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].
11.88/11.53	4854 (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].
11.88/11.53	4855 $T # label(t11_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4856 (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].
11.88/11.53	4857 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (A != B & r2_qc_lang2(A,B) <-> r3_qc_lang2(A,B)))))) # label(d22_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4858 (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) & B = G))))))))))))))) # label(t32_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4859 (all A all B all C all D (m1_subset_1(B,k2_qc_lang1) & m1_subset_1(D,k8_qc_lang1) & m1_subset_1(C,k2_qc_lang1) & m1_subset_1(A,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].
11.88/11.53	4860 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> -(r2_qc_lang2(B,A) & r3_qc_lang2(A,B)))))) # label(t79_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4861 $T # label(t43_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4862 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> -(v2_qc_lang1(A) & r1_qc_lang2(B,A)))))) # label(t64_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4863 (all A (m1_subset_1(A,k8_qc_lang1) -> (v3_qc_lang2(A) -> k4_qc_lang2(k13_qc_lang2(A),k14_qc_lang2(A)) = A))) # label(t55_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4864 (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].
11.88/11.53	4865 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (v5_qc_lang1(A) -> (k21_qc_lang1(A) = B <-> r1_qc_lang2(B,A))))))) # label(t67_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4866 (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].
11.88/11.53	4867 (all A (m1_subset_1(A,k8_qc_lang1) -> (v4_qc_lang2(A) -> v3_qc_lang1(k21_qc_lang1(k17_qc_lang1(A))) & v5_qc_lang1(k17_qc_lang1(A)) & v3_qc_lang1(A)))) # label(t52_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4868 (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].
11.88/11.53	4869 $T # label(t34_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4870 (all A (m1_subset_1(A,k8_qc_lang1) -> A = k17_qc_lang1(k12_qc_lang1(A)))) # label(t2_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4871 (all A (m1_subset_1(A,k8_qc_lang1) -> (r1_qc_lang2(A,k1_qc_lang2) <-> A = k11_qc_lang1))) # label(t61_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4872 (all A all B (m1_subset_1(A,k8_qc_lang1) & m1_subset_1(B,k8_qc_lang1) -> -r3_qc_lang2(A,A))) # label(irreflexivity_r3_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4873 $T # label(t70_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4874 (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].
11.88/11.53	4875 (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(k7_qc_lang2(A,B,D)) & v4_qc_lang2(k9_qc_lang2(A,B,C,D)))))))))) # label(t38_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	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 (m1_subset_1(C,k8_qc_lang1) -> k5_qc_lang2(A,k5_qc_lang2(B,C)) = k7_qc_lang2(A,B,C) & k14_qc_lang1(A,k14_qc_lang1(B,C)) = k6_qc_lang2(A,B,C))))))) # label(t20_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4877 (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].
11.88/11.53	4878 (all A (m1_subset_1(A,k8_qc_lang1) -> (v5_qc_lang1(A) -> k2_xboole_0(k15_qc_lang2(k21_qc_lang1(A)),k1_tarski(A)) = k15_qc_lang2(A)))) # label(t119_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4879 (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].
11.88/11.53	4880 $T # label(t9_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4881 (all A (m1_subset_1(A,k8_qc_lang1) -> (A = k11_qc_lang1 <-> r2_qc_lang2(A,k11_qc_lang1)))) # label(t99_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4882 $T # label(t106_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4883 (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)) & A = k20_qc_lang1(k8_qc_lang2(A,B,C,D)) & v5_qc_lang1(k8_qc_lang2(A,B,C,D)))))))))) # label(t33_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4884 $T # label(t102_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4885 (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_enumset1(k12_qc_lang1(B),k13_qc_lang1(A,k12_qc_lang1(B)),k2_qc_lang2(A,B))) = k15_qc_lang2(k2_qc_lang2(A,B)))))) # label(t113_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4886 (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) -> (k9_qc_lang1(C,D) = A <-> r2_qc_lang2(A,k9_qc_lang1(C,D))))))))))) # label(t100_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4887 (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].
11.88/11.53	4888 (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].
11.88/11.53	4889 (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(B,D) = k14_qc_lang1(A,C) -> B = A & D = C))))))))) # label(t6_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4890 (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].
11.88/11.53	4891 (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].
11.88/11.53	4892 (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].
11.88/11.53	4893 (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 (m1_subset_1(C,k8_qc_lang1) -> B != k13_qc_lang1(A,C) & k13_qc_lang1(C,A) != B)) & (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> k14_qc_lang1(C,A) != B)))))))) # label(d20_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4894 (all A (m1_subset_1(A,k8_qc_lang1) -> (v4_qc_lang1(A) -> A = k13_qc_lang1(k18_qc_lang1(A),k19_qc_lang1(A))))) # label(t4_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4895 (all A all B all C all D (m1_subset_1(C,k2_qc_lang1) & m1_subset_1(D,k8_qc_lang1) & m1_subset_1(B,k2_qc_lang1) & m1_subset_1(A,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].
11.88/11.53	4896 (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(B,C) = k21_qc_lang1(k6_qc_lang2(A,B,C)) & k20_qc_lang1(k6_qc_lang2(A,B,C)) = A & v5_qc_lang1(k6_qc_lang2(A,B,C)))))))) # label(t25_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4897 (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].
11.88/11.53	4898 (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) -> A = B & C = D))))))))) # label(t19_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.53	4899 (all A (m1_subset_1(A,k8_qc_lang1) -> (v4_qc_lang1(A) -> k15_qc_lang2(A) = k2_xboole_0(k2_xboole_0(k15_qc_lang2(k18_qc_lang1(A)),k15_qc_lang2(k19_qc_lang1(A))),k1_tarski(A))))) # label(t118_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4900 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (k12_qc_lang1(B) = k12_qc_lang1(A) -> B = A))))) # label(t1_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4901 $T # label(t42_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4902 (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].
11.88/11.54	4903 (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].
11.88/11.54	4904 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> A = k20_qc_lang1(k14_qc_lang1(A,B)) & k21_qc_lang1(k14_qc_lang1(A,B)) = B)))) # label(t8_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4905 (all A (m1_subset_1(A,k8_qc_lang1) -> (v1_qc_lang2(A) -> v2_qc_lang2(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))) & v3_qc_lang1(A)))) # label(t49_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4906 $T # label(t39_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4907 (all A (m1_subset_1(A,k8_qc_lang1) -> (v4_qc_lang2(A) <-> (exists B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) & (exists C (m1_subset_1(C,k8_qc_lang1) & k5_qc_lang2(B,C) = A))))))) # label(d13_qc_lang2) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4908 (all A all B (m1_subset_1(B,k2_qc_lang1) & m1_subset_1(A,k4_qc_lang1) -> k3_cqc_lang(A,B) = k6_cqc_lang(A,B))) # label(redefinition_k6_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4909 (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) -> ((exists D (v1_funct_2(D,k8_qc_lang1,k8_qc_lang1) & m2_relset_1(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) -> k8_funct_2(k8_qc_lang1,k8_qc_lang1,D,k9_cqc_lang) = k9_cqc_lang & (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)) & (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)) & (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)) & (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)))))) & v1_funct_1(D))) <-> k17_cqc_lang(A,B) = C))))))) # label(d6_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4910 $T # label(t4_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4911 (all A all B (m1_subset_1(A,k7_cqc_lang) & m1_subset_1(B,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].
11.88/11.54	4912 (all A all B all C (m1_qc_lang1(C,A) & v1_cqc_lang(C,A) & m1_subset_1(B,k7_qc_lang1(A)) & m1_subset_1(A,k5_numbers) -> 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].
11.88/11.54	4913 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k4_qc_lang1) -> m2_relset_1(k3_cqc_lang(B,A),k4_qc_lang1,k1_qc_lang1) & v1_funct_1(k3_cqc_lang(B,A)))))) # label(t10_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4914 (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].
11.88/11.54	4915 (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].
11.88/11.54	4916 (all A all B all C all D all E (m1_subset_1(E,A) & m1_subset_1(D,A) & -v1_xboole_0(A) -> m1_subset_1(k2_cqc_lang(A,B,C,D,E),A))) # label(dt_k2_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4917 $T # label(t12_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4918 $T # label(dt_k3_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4919 (all A all B (v1_funct_1(k3_cqc_lang(A,B)) & v1_relat_1(k3_cqc_lang(A,B)))) # label(fc1_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4920 (all A all B (m1_subset_1(B,k7_cqc_lang) & m1_subset_1(A,k7_cqc_lang) -> k2_qc_lang2(A,B) = k12_cqc_lang(A,B))) # label(redefinition_k12_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4921 $T # label(t8_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4922 (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 (r1_xreal_0(np__1,D) & r2_hidden(k1_funct_1(C,D),k3_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_1_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4923 (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].
11.88/11.54	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(k4_qc_lang2(A,B),k8_qc_lang1,k7_cqc_lang))))) # label(t22_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4925 (all A all B B = k1_funct_1(k3_cqc_lang(A,B),A)) # label(t6_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4926 (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) -> (m2_subset_1(k9_qc_lang1(B,C),k8_qc_lang1,k7_cqc_lang) <-> a_2_1_cqc_lang(A,C) = k1_xboole_0 & k1_xboole_0 = a_2_0_cqc_lang(A,C)))))))) # label(t17_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4927 (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 (m2_subset_1(D,k1_numbers,k5_numbers) & k1_funct_1(C,D) = A & r2_hidden(k1_funct_1(C,D),k4_qc_lang1) & r1_xreal_0(D,k3_finseq_1(C)) & r1_xreal_0(np__1,D)))))) # label(fraenkel_a_2_0_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4928 (exists A (m1_subset_1(A,f1_s4_cqc_lang) & (exists B (v1_funct_1(B) & (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 (m1_qc_lang1(G,F) & v1_cqc_lang(G,F) -> (all H (m2_subset_1(H,k5_qc_lang1,k7_qc_lang1(F)) -> f4_s4_cqc_lang(F,H,G) = k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,B,k8_cqc_lang(F,H,G)) & 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)) & k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,B,k11_cqc_lang(C,D)) = 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)) & 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,k10_cqc_lang(C)))))))))))))) & k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,B,k9_cqc_lang) = f3_s4_cqc_lang & k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,B,f2_s4_cqc_lang) = A & m2_relset_1(B,k7_cqc_lang,f1_s4_cqc_lang) & v1_funct_2(B,k7_cqc_lang,f1_s4_cqc_lang))))) # label(s4_cqc_lang_AndLHS) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4929 (all A (m1_subset_1(A,f1_s4_cqc_lang) -> (all B (m1_subset_1(B,f1_s4_cqc_lang) -> -(B != A & (exists C (v1_funct_1(C) & v1_funct_2(C,k7_cqc_lang,f1_s4_cqc_lang) & f3_s4_cqc_lang = k8_funct_2(k7_cqc_lang,f1_s4_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 (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,k10_cqc_lang(D)) = f5_s4_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,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,k15_cqc_lang(F,D)) & 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)) = k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,k11_cqc_lang(D,E)))))))))))))) & B = k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,f2_s4_cqc_lang) & m2_relset_1(C,k7_cqc_lang,f1_s4_cqc_lang))) & (exists C (m2_relset_1(C,k7_cqc_lang,f1_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 (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_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,k10_cqc_lang(D)) = 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,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)) & 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)))))))))))))) & f3_s4_cqc_lang = k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,k9_cqc_lang) & k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,f2_s4_cqc_lang) = A & v1_funct_2(C,k7_cqc_lang,f1_s4_cqc_lang) & v1_funct_1(C)))))))) # label(s4_cqc_lang_AndRHS) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4930 (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) -> k14_qc_lang1(k20_qc_lang1(B),k17_cqc_lang(k21_qc_lang1(B),A)) = k17_cqc_lang(B,A) | k20_qc_lang1(B) = A))))) # label(t36_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4931 (all A all B all C all D ((A = B -> k1_cqc_lang(A,B,C,D) = C) & (A != B -> D = k1_cqc_lang(A,B,C,D)))) # label(d1_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4932 (all A (m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) -> (all B (m1_subset_1(B,f1_s5_cqc_lang) -> ((exists C (v1_funct_1(C) & m2_relset_1(C,k7_cqc_lang,f1_s5_cqc_lang) & k8_funct_2(k7_cqc_lang,f1_s5_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 (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_s5_cqc_lang,C,k8_cqc_lang(G,I,H)) = f4_s5_cqc_lang(G,I,H) & 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,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,k11_cqc_lang(D,E)) = 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)))))))))))))) & f3_s5_cqc_lang = k8_funct_2(k7_cqc_lang,f1_s5_cqc_lang,C,k9_cqc_lang) & v1_funct_2(C,k7_cqc_lang,f1_s5_cqc_lang))) <-> f2_s5_cqc_lang(A) = B))))) -> f3_s5_cqc_lang = f2_s5_cqc_lang(k9_cqc_lang) # label(s5_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4933 (all A all B (m1_subset_1(B,k7_cqc_lang) & m1_subset_1(A,k7_cqc_lang) -> k13_qc_lang1(A,B) = k11_cqc_lang(A,B))) # label(redefinition_k11_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4934 (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].
11.88/11.54	4935 (all A all B k2_funcop_1(k1_tarski(A),B) = k3_cqc_lang(A,B)) # label(d2_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4936 $T # label(dt_k1_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4937 (all A all B (k1_tarski(A) = k1_relat_1(k3_cqc_lang(A,B)) & k2_relat_1(k3_cqc_lang(A,B)) = k1_tarski(B))) # label(t5_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4938 (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].
11.88/11.54	4939 (all A all B (m1_subset_1(A,k2_qc_lang1) & m1_subset_1(B,k7_cqc_lang) -> k15_cqc_lang(A,B) = k14_qc_lang1(A,B))) # label(redefinition_k15_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4940 (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].
11.88/11.54	4941 (all A (m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) -> (all B (m1_subset_1(B,f1_s6_cqc_lang) -> (B = f3_s6_cqc_lang(A) <-> (exists C (B = k8_funct_2(k7_cqc_lang,f1_s6_cqc_lang,C,A) & (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_s6_cqc_lang(G,I,H) = k8_funct_2(k7_cqc_lang,f1_s6_cqc_lang,C,k8_cqc_lang(G,I,H)) & 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)) = k8_funct_2(k7_cqc_lang,f1_s6_cqc_lang,C,k11_cqc_lang(D,E)) & k8_funct_2(k7_cqc_lang,f1_s6_cqc_lang,C,k15_cqc_lang(F,D)) = f10_s6_cqc_lang(F,k8_funct_2(k7_cqc_lang,f1_s6_cqc_lang,C,D)) & f8_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,k10_cqc_lang(D)))))))))))))) & f2_s6_cqc_lang = k8_funct_2(k7_cqc_lang,f1_s6_cqc_lang,C,k9_cqc_lang) & m2_relset_1(C,k7_cqc_lang,f1_s6_cqc_lang) & v1_funct_2(C,k7_cqc_lang,f1_s6_cqc_lang) & v1_funct_1(C)))))))) -> f3_s6_cqc_lang(k8_cqc_lang(f5_s6_cqc_lang,f6_s6_cqc_lang,f7_s6_cqc_lang)) = f4_s6_cqc_lang(f5_s6_cqc_lang,f6_s6_cqc_lang,f7_s6_cqc_lang) # label(s6_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4942 $T # label(t14_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4943 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m1_qc_lang1(B,A) -> (r1_tarski(k2_relat_1(B),k2_qc_lang1) <-> v1_cqc_lang(B,A)))))) # label(d5_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4944 $T # label(t27_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4945 (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].
11.88/11.54	4946 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m1_qc_lang1(B,A) -> (k1_xboole_0 = a_2_1_cqc_lang(A,B) & k1_xboole_0 = a_2_0_cqc_lang(A,B) <-> m1_qc_lang1(B,A) & v1_cqc_lang(B,A)))))) # label(t15_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4947 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k8_qc_lang1,k7_cqc_lang) -> B = k17_cqc_lang(B,A))))) # label(t40_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4948 (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) -> k8_cqc_lang(A,B,C) = k9_qc_lang1(B,C))) # label(redefinition_k8_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4949 (all A (m1_subset_1(A,k5_numbers) -> (exists B (m1_qc_lang1(B,A) & v1_cqc_lang(B,A) & v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B))))) # label(rc1_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4950 (all A all B (m1_subset_1(B,k2_qc_lang1) & m1_subset_1(A,k8_qc_lang1) -> m1_subset_1(k17_cqc_lang(A,B),k8_qc_lang1))) # label(dt_k17_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4951 (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].
11.88/11.54	4952 (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].
11.88/11.54	4953 (all A all B (m1_finseq_1(A,k1_qc_lang1) & v1_funct_1(B) & m1_relset_1(B,k4_qc_lang1,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].
11.88/11.54	4954 (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].
11.88/11.54	4955 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k12_qc_lang1(k17_cqc_lang(B,A)) = k17_cqc_lang(k12_qc_lang1(B),A))))) # label(t32_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4956 $T # label(t26_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4957 $T # label(t2_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4958 (all A all B (m1_subset_1(A,k2_qc_lang1) & m1_subset_1(B,k7_cqc_lang) -> 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].
11.88/11.54	4959 $T # label(t3_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4960 (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)) -> p1_s1_cqc_lang(k9_cqc_lang) & (p1_s1_cqc_lang(B) & p1_s1_cqc_lang(A) -> 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(A) -> p1_s1_cqc_lang(k10_cqc_lang(A))) & p1_s1_cqc_lang(k8_cqc_lang(D,F,E)))))))))))))) -> (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].
11.88/11.54	4961 (all A all B (m1_subset_1(B,k2_qc_lang1) & m1_subset_1(A,k4_qc_lang1) -> m2_relset_1(k6_cqc_lang(A,B),k4_qc_lang1,k1_qc_lang1) & v1_funct_1(k6_cqc_lang(A,B)))) # label(dt_k6_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4962 (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].
11.88/11.54	4963 (exists A (v1_funct_2(A,k7_cqc_lang,f1_s2_cqc_lang) & m2_relset_1(A,k7_cqc_lang,f1_s2_cqc_lang) & (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) & f6_s2_cqc_lang(D,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)) & 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,k10_cqc_lang(B)) = f4_s2_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s2_cqc_lang,A,B)))))))))))))) & f2_s2_cqc_lang = k8_funct_2(k7_cqc_lang,f1_s2_cqc_lang,A,k9_cqc_lang) & v1_funct_1(A))) # label(s2_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4964 (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].
11.88/11.54	4965 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) & m2_subset_1(B,k8_qc_lang1,k7_cqc_lang) <-> m2_subset_1(k13_qc_lang1(A,B),k8_qc_lang1,k7_cqc_lang)))))) # label(t19_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4966 (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) -> (A != B -> 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].
11.88/11.54	4967 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> k17_cqc_lang(k9_cqc_lang,A) = k9_cqc_lang)) # label(t28_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4968 (all A (m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) -> (all B (m1_subset_1(B,f1_s7_cqc_lang) -> (f2_s7_cqc_lang(A) = B <-> (exists C (v1_funct_1(C) & v1_funct_2(C,k7_cqc_lang,f1_s7_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_s7_cqc_lang,C,k8_cqc_lang(G,I,H)) = f4_s7_cqc_lang(G,I,H) & k8_funct_2(k7_cqc_lang,f1_s7_cqc_lang,C,k10_cqc_lang(D)) = 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,k15_cqc_lang(F,D)) = f8_s7_cqc_lang(F,k8_funct_2(k7_cqc_lang,f1_s7_cqc_lang,C,D)) & 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)) = k8_funct_2(k7_cqc_lang,f1_s7_cqc_lang,C,k11_cqc_lang(D,E)))))))))))))) & f3_s7_cqc_lang = k8_funct_2(k7_cqc_lang,f1_s7_cqc_lang,C,k9_cqc_lang) & B = k8_funct_2(k7_cqc_lang,f1_s7_cqc_lang,C,A) & m2_relset_1(C,k7_cqc_lang,f1_s7_cqc_lang)))))))) -> f2_s7_cqc_lang(k10_cqc_lang(f6_s7_cqc_lang)) = f5_s7_cqc_lang(f2_s7_cqc_lang(f6_s7_cqc_lang)) # label(s7_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4969 (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 (v1_funct_1(F) & m2_relset_1(F,k4_qc_lang1,k1_qc_lang1) -> (k6_cqc_lang(C,B) = F & k4_cqc_lang(E,F) = D & r1_xreal_0(np__1,A) & r1_xreal_0(A,k3_finseq_1(E)) -> (C = k1_funct_1(E,A) -> B = k1_funct_1(D,A)) & (C != k1_funct_1(E,A) -> k1_funct_1(D,A) = k1_funct_1(E,A))))))))))))))) # label(t11_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4970 (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].
11.88/11.54	4971 (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) -> k13_qc_lang1(k17_cqc_lang(B,A),k17_cqc_lang(C,A)) = k17_cqc_lang(k13_qc_lang1(B,C),A))))))) # label(t34_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4972 (all A all B (m1_subset_1(B,k7_cqc_lang) & m1_subset_1(A,k2_qc_lang1) -> 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].
11.88/11.54	4973 (all A all B (m1_subset_1(B,k7_cqc_lang) & m1_subset_1(A,k7_cqc_lang) -> k3_qc_lang2(A,B) = k13_cqc_lang(A,B))) # label(redefinition_k13_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4974 (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].
11.88/11.54	4975 (all A all B all C (v1_funct_1(C) & m1_relset_1(C,k4_qc_lang1,k1_qc_lang1) & m1_qc_lang1(B,A) & m1_subset_1(A,k5_numbers) -> k5_cqc_lang(A,B,C) = k4_cqc_lang(B,C))) # label(redefinition_k5_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4976 (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) -> k17_cqc_lang(B,A) = k9_qc_lang1(k15_qc_lang1(B),k4_cqc_lang(k16_qc_lang1(B),k6_cqc_lang(k3_qc_lang3(np__0),A)))))))) # label(t29_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4977 (all A all B (m1_subset_1(A,k2_qc_lang1) & m1_subset_1(B,k7_cqc_lang) -> k5_qc_lang2(A,B) = k16_cqc_lang(A,B))) # label(redefinition_k16_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4978 (all A all B all C all D all E (m1_subset_1(D,A) & m1_subset_1(E,A) & -v1_xboole_0(A) -> k1_cqc_lang(B,C,D,E) = k2_cqc_lang(A,B,C,D,E))) # label(redefinition_k2_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4979 (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) -> (k3_finseq_1(C) = k3_finseq_1(A) & (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)))))) <-> k4_cqc_lang(A,B) = C))))))) # label(d3_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4980 (all A all B (m1_subset_1(A,k7_cqc_lang) & m1_subset_1(B,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].
11.88/11.54	4981 (all A (m1_subset_1(A,k8_qc_lang1) -> (k5_qc_lang3(A) = k1_xboole_0 & k6_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].
11.88/11.54	4982 $T # label(t1_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4983 (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)) -> k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f2_s3_cqc_lang,k8_cqc_lang(D,F,E)) = f5_s3_cqc_lang(D,F,E) & k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f2_s3_cqc_lang,k10_cqc_lang(A)) = f6_s3_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f2_s3_cqc_lang,A)) & 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)) = k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f2_s3_cqc_lang,k11_cqc_lang(A,B)) & 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,k15_cqc_lang(C,A)))))))))))))) & (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)) -> 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)) & 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)) & k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f3_s3_cqc_lang,k15_cqc_lang(C,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,k10_cqc_lang(A)) = 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,k9_cqc_lang) = f4_s3_cqc_lang & f4_s3_cqc_lang = k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f2_s3_cqc_lang,k9_cqc_lang) -> f3_s3_cqc_lang = f2_s3_cqc_lang # label(s3_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4984 (all A (r2_hidden(A,k1_qc_lang1) <-> -(-r2_hidden(A,k3_qc_lang1) & -r2_hidden(A,k4_qc_lang1) & -r2_hidden(A,k2_qc_lang1)))) # label(t7_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4985 (all A (m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) -> (all B (m1_subset_1(B,f1_s8_cqc_lang) -> ((exists C (m2_relset_1(C,k7_cqc_lang,f1_s8_cqc_lang) & k8_funct_2(k7_cqc_lang,f1_s8_cqc_lang,C,A) = B & k8_funct_2(k7_cqc_lang,f1_s8_cqc_lang,C,k9_cqc_lang) = f3_s8_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_s8_cqc_lang(G,I,H) = k8_funct_2(k7_cqc_lang,f1_s8_cqc_lang,C,k8_cqc_lang(G,I,H)) & 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)) & 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)) & 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)))))))))))))) & v1_funct_2(C,k7_cqc_lang,f1_s8_cqc_lang) & v1_funct_1(C))) <-> B = f2_s8_cqc_lang(A)))))) -> 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].
11.88/11.54	4986 (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].
11.88/11.54	4987 $T # label(t9_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4988 (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].
11.88/11.54	4989 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (A = k20_qc_lang1(B) & v5_qc_lang1(B) -> k17_cqc_lang(B,A) = B))))) # label(t35_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.54	4990 (all A (m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) -> (all B (m1_subset_1(B,f1_s9_cqc_lang) -> ((exists C (v1_funct_1(C) & f3_s9_cqc_lang = k8_funct_2(k7_cqc_lang,f1_s9_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 (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,k8_cqc_lang(G,I,H)) = f4_s9_cqc_lang(G,I,H) & f5_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,k10_cqc_lang(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)) & k8_funct_2(k7_cqc_lang,f1_s9_cqc_lang,C,k15_cqc_lang(F,D)) = f7_s9_cqc_lang(F,k8_funct_2(k7_cqc_lang,f1_s9_cqc_lang,C,D)))))))))))))) & B = k8_funct_2(k7_cqc_lang,f1_s9_cqc_lang,C,A) & m2_relset_1(C,k7_cqc_lang,f1_s9_cqc_lang) & v1_funct_2(C,k7_cqc_lang,f1_s9_cqc_lang))) <-> f2_s9_cqc_lang(A) = B))))) -> 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].
11.88/11.54	4991 (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].
11.88/11.54	4992 (all A all B all C (m1_subset_1(A,k5_numbers) & m1_relset_1(C,k4_qc_lang1,k1_qc_lang1) & v1_funct_1(C) & 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].
11.88/11.55	4993 (all A ((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))) <-> r2_hidden(A,a_0_0_cqc_lang))) # label(fraenkel_a_0_0_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.55	4994 $T # label(t25_cqc_lang) # label(axiom) # label(non_clause).  [assumption].
11.88/11.55	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].
11.88/11.55	4996 (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].
11.88/11.55	4997 (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].
11.88/11.55	4998 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r7_pboole(A,B,C) & v2_relat_1(B) -> v2_relat_1(C)))))) # label(t145_pboole) # label(axiom) # label(non_clause).  [assumption].
11.88/11.55	4999 (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].
11.88/11.55	5000 (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].
11.88/11.55	5001 (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].
11.88/11.55	5002 (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) -> 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)) & v1_funct_1(k1_funct_1(D,E)))) <-> m3_pboole(D,A,B,C)))))))) # label(d18_pboole) # label(axiom) # label(non_clause).  [assumption].
11.88/11.55	5003 $T # label(t93_pboole) # label(axiom) # label(non_clause).  [assumption].
11.88/11.55	5004 (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].
11.88/11.55	5005 (exists A ((all B (r2_hidden(B,f1_s4_pboole) -> k1_funct_1(A,B) = f2_s4_pboole(B))) & m1_pboole(A,f1_s4_pboole))) # label(s4_pboole) # label(axiom) # label(non_clause).  [assumption].
11.88/11.55	5006 (exists A (m1_pboole(A,f1_s5_pboole) & (all B (m1_subset_1(B,f1_s5_pboole) -> f2_s5_pboole(B) = k1_funct_1(A,B))))) # label(s5_pboole) # label(axiom) # label(non_clause).  [assumption].
11.88/11.55	5007 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r6_pboole(A,k4_pboole(A,B,C),B) <-> r6_pboole(A,k3_pboole(A,B,C),k1_pboole(A))))))) # label(t77_pboole) # label(axiom) # label(non_clause).  [assumption].
11.88/11.55	5008 (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].
11.88/11.55	5009 (all A all B all C (m1_pboole(C,A) & m1_pboole(B,A) -> r7_pboole(A,B,B))) # label(reflexivity_r7_pboole) # label(axiom) # label(non_clause).  [assumption].
11.88/11.55	5010 (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].
11.88/11.55	5011 (all A -((all B -p1_s3_pboole(A,B)) & r2_hidden(A,f1_s3_pboole))) -> (exists A (m1_pboole(A,f1_s3_pboole) & (all B (r2_hidden(B,f1_s3_pboole) -> p1_s3_pboole(B,k1_funct_1(A,B)))))) # label(s3_pboole) # label(axiom) # label(non_clause).  [assumption].
11.88/11.55	5012 (all A all B (v1_funct_1(k10_pboole(A,B)) & m2_relset_1(k10_pboole(A,B),A,k1_tarski(B)) & v1_funct_2(k10_pboole(A,B),A,k1_tarski(B)))) # label(dt_k10_pboole) # label(axiom) # label(non_clause).  [assumption].
11.88/11.55	5013 (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].
11.88/11.55	5014 (all A (m1_pboole(A,k1_xboole_0) -> A = k1_xboole_0)) # label(t134_pboole) # label(axiom) # label(non_clause).  [assumption].
11.88/11.55	5015 (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,C,B),D) & r2_pboole(A,k4_pboole(A,B,C),D) -> r2_pboole(A,k5_pboole(A,B,C),D)))))))) # label(t99_pboole) # label(axiom) # label(non_clause).  [assumption].
11.88/11.55	5016 (all A k1_pboole(A) = k2_funcop_1(A,k1_xboole_0)) # label(d6_pboole) # label(axiom) # label(non_clause).  [assumption].
11.88/11.55	5017 $T # label(t107_pboole) # label(axiom) # label(non_clause).  [assumption].
11.88/11.55	5018 (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,B,k1_pboole(A)) & r6_pboole(A,C,k1_pboole(A))))))) # label(t54_pboole) # label(axiom) # label(non_clause).  [assumption].
11.88/11.55	5019 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) & v1_funcop_1(C) -> m1_pboole(k14_pboole(A,B,C),A))) # label(dt_k14_pboole) # label(axiom) # label(non_clause).  [assumption].
11.88/11.55	5020 (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].
11.88/11.55	5021 (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)) & r2_pboole(A,B,D) -> r6_pboole(A,B,k1_pboole(A))))))))) # label(t51_pboole) # label(axiom) # label(non_clause).  [assumption].
11.88/11.55	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,D,C)))))))) # label(t109_pboole) # label(axiom) # label(non_clause).  [assumption].
11.88/11.55	5023 (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].
11.88/11.55	5024 (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,C,D),B),k3_pboole(A,k2_pboole(A,C,B),k2_pboole(A,D,B))) & 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))))))))) # label(t39_pboole) # label(axiom) # label(non_clause).  [assumption].
11.88/11.55	5025 (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].
11.88/11.55	5026 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k3_pboole(A,B,k2_pboole(A,B,C)),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,k2_pboole(A,B,C),B),B))))) # label(t36_pboole) # label(axiom) # label(non_clause).  [assumption].
11.88/11.55	5027 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v3_relat_1(A) <-> k2_relat_1(A) = k1_tarski(k1_xboole_0) | k1_xboole_0 = A))) # label(t2_pboole) # label(axiom) # label(non_clause).  [assumption].
11.88/11.55	5028 (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].
11.88/11.55	5029 (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,B,C),B) & r6_pboole(A,k3_pboole(A,C,B),B)))))) # label(t25_pboole) # label(axiom) # label(non_clause).  [assumption].
11.88/11.55	5030 (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].
11.88/11.55	5031 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> ((all D (r2_hidden(D,A) -> k1_funct_1(B,D) = k1_funct_1(C,D))) -> C = B))))) # label(t3_pboole) # label(axiom) # label(non_clause).  [assumption].
11.88/11.55	5032 (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].
11.88/11.55	5033 (all A exists B (v1_relat_1(B) & v2_relat_1(B) & v1_funct_1(B) & m1_pboole(B,A))) # label(rc3_pboole) # label(axiom) # label(non_clause).  [assumption].
11.88/11.55	5034 (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].
11.88/11.55	5035 (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].
11.88/11.55	5036 (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].
11.88/11.55	5037 (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].
11.88/11.55	5038 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k4_pboole(A,B,k3_pboole(A,C,B)),k4_pboole(A,B,C)) & r6_pboole(A,k4_pboole(A,B,k3_pboole(A,B,C)),k4_pboole(A,B,C)))))) # label(t76_pboole) # label(axiom) # label(non_clause).  [assumption].
11.88/11.55	5039 (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].
11.88/11.55	5040 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r7_pboole(A,B,C) <-> (all D (m1_pboole(D,A) -> (r1_pboole(A,D,B) -> r1_pboole(A,D,C))))))))) # label(d14_pboole) # label(axiom) # label(non_clause).  [assumption].
11.88/11.55	5041 (all A (v1_funct_1(A) & v1_relat_1(A) -> (v2_relat_1(A) -> v1_setfam_1(k2_relat_1(A))))) # label(t1_pboole) # label(axiom) # label(non_clause).  [assumption].
11.88/11.55	5042 (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)))) & r4_pboole(A,B,C)))))) # label(t11_pboole) # label(axiom) # label(non_clause).  [assumption].
11.88/11.55	5043 (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].
11.88/11.55	5044 (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,D),k1_pboole(A)) & r2_pboole(A,B,k2_pboole(A,C,D)) -> r2_pboole(A,B,C)))))))) # label(t56_pboole) # label(axiom) # label(non_clause).  [assumption].
11.88/11.55	5045 (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].
11.88/11.55	5046 (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].
11.88/11.55	5047 (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].
11.88/11.55	5048 (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) & r4_pboole(A,B,D) & r2_pboole(A,D,E) -> r4_pboole(A,C,E)))))))))) # label(t110_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5049 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r6_pboole(A,B,C) <-> r2_pboole(A,B,C) & r2_pboole(A,C,B)))))) # label(d13_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5050 (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].
11.91/11.55	5051 (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].
11.91/11.55	5052 (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].
11.91/11.55	5053 (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].
11.91/11.55	5054 $T # label(t31_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5055 (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].
11.91/11.55	5056 (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].
11.91/11.55	5057 (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].
11.91/11.55	5058 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> (r5_pboole(A,B,C) -> r5_pboole(A,C,B)))) # label(symmetry_r5_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5059 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r1_pboole(A,B,D) & r1_pboole(A,B,C) -> r4_pboole(A,C,D)))))))) # label(t10_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5060 (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].
11.91/11.55	5061 (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) & r5_pboole(A,C,D) -> r6_pboole(A,B,k1_pboole(A))))))))) # label(t123_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5062 (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].
11.91/11.55	5063 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> k5_pboole(A,B,C) = k5_pboole(A,C,B))) # label(commutativity_k5_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5064 (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].
11.91/11.55	5065 (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].
11.91/11.55	5066 (all A all B all C (m1_pboole(C,A) & m1_pboole(B,A) -> B = k3_pboole(A,B,B))) # label(idempotence_k3_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5067 (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].
11.91/11.55	5068 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) -> -r4_pboole(A,B,k1_pboole(A)) & -r4_pboole(A,k1_pboole(A),B))))) # label(t138_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5069 (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)) -> k4_card_3(k5_relat_1(D,B)) = k1_funct_1(C,D))) <-> k6_pboole(A,B) = C))))) # label(d19_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5070 (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].
11.91/11.55	5071 (all A (v1_funct_1(k9_pboole(A)) & v1_funct_2(k9_pboole(A),k5_numbers,k3_finseq_2(k1_tarski(A))) & m2_relset_1(k9_pboole(A),k5_numbers,k3_finseq_2(k1_tarski(A))))) # label(dt_k9_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5072 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k2_pboole(A,k4_pboole(A,C,B),B),k2_pboole(A,C,B)) & r6_pboole(A,k2_pboole(A,B,k4_pboole(A,C,B)),k2_pboole(A,B,C)))))) # label(t73_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5073 (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].
11.91/11.55	5074 (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].
11.91/11.55	5075 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> B = k2_pboole(A,B,B))) # label(idempotence_k2_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5076 $T # label(t125_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5077 (all A m1_pboole(k1_pboole(A),A)) # label(dt_k1_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5078 (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].
11.91/11.55	5079 (all A all B all C (-v1_xboole_0(A) & m1_pboole(B,A) & m1_subset_1(C,A) & v2_relat_1(B) -> -v1_xboole_0(k1_funct_1(B,C)))) # label(fc2_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5080 (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].
11.91/11.55	5081 (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].
11.91/11.55	5082 (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,k2_pboole(A,B,D),k2_pboole(A,C,E))))))))))) # label(t22_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5083 (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].
11.91/11.55	5084 (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].
11.91/11.55	5085 (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].
11.91/11.55	5086 (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].
11.91/11.55	5087 (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].
11.91/11.55	5088 (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].
11.91/11.55	5089 (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].
11.91/11.55	5090 (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].
11.91/11.55	5091 (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].
11.91/11.55	5092 (all A all B k1_funct_1(k1_pboole(B),A) = k1_xboole_0) # label(t5_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5093 (all A all B (m1_pboole(B,A) -> (v2_relat_1(B) <-> v2_pboole(B,A)))) # label(redefinition_v2_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5094 (exists A (v1_relat_1(A) & v1_funct_1(A) & v3_relat_1(A))) # label(rc1_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5095 (all A (v1_funcop_1(A) & v1_funct_1(A) & v1_relat_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) -> (C = k13_pboole(A,B) <-> k3_xboole_0(k1_relat_1(A),k1_relat_1(B)) = k1_relat_1(C) & (all D (r2_hidden(D,k1_relat_1(C)) -> k5_relat_1(k1_funct_1(A,D),k1_funct_1(B,D)) = k1_funct_1(C,D)))))))))) # label(d24_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5096 (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].
11.91/11.55	5097 (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].
11.91/11.55	5098 (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,B,D) & r2_pboole(A,C,D)))))))) # label(t43_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5099 (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) -> (r6_pboole(A,k2_pboole(A,B,C),k2_pboole(A,D,E)) & r5_pboole(A,E,C) & r5_pboole(A,D,B) -> r6_pboole(A,E,B) & r6_pboole(A,D,C)))))))))) # label(t124_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5100 (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) & k1_pboole(A) = k3_pboole(A,C,D) & r3_pboole(A,B,C)))))))))) # label(t137_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5101 (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) -> k3_xboole_0(k1_funct_1(B,E),k1_funct_1(C,E)) = k1_funct_1(D,E))) <-> k3_pboole(A,B,C) = D))))))) # label(d8_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5102 $T # label(t117_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5103 (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].
11.91/11.55	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,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].
11.91/11.55	5105 (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].
11.91/11.55	5106 (all A all B all C (m1_pboole(C,A) & m1_pboole(B,A) -> m1_pboole(k3_pboole(A,B,C),A))) # label(dt_k3_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5107 (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].
11.91/11.55	5108 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) & v1_funcop_1(C) -> (all D (m1_pboole(D,A) -> ((all E (r2_hidden(E,A) -> k1_funct_1(D,E) = k9_relat_1(k1_funct_1(C,E),k1_funct_1(B,E)))) <-> k14_pboole(A,B,C) = D))))))) # label(d25_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5109 (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].
11.91/11.55	5110 $T # label(t13_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5111 (all A exists B (v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) & m1_pboole(B,A))) # label(rc4_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5112 (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)) <-> r2_pboole(A,C,B) & r2_pboole(A,D,B) & (all E (m1_pboole(E,A) -> (r2_pboole(A,C,E) & r2_pboole(A,D,E) -> r2_pboole(A,B,E))))))))))) # label(t28_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5113 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (D = k2_pboole(A,B,C) <-> (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].
11.91/11.55	5114 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,B,D) & r2_pboole(A,B,C) -> r2_pboole(A,B,k3_pboole(A,C,D))))))))) # label(t19_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5115 (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].
11.91/11.55	5116 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> k2_pboole(A,C,B) = k2_pboole(A,B,C))) # label(commutativity_k2_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5117 $T # label(d1_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5118 (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].
11.91/11.55	5119 (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].
11.91/11.55	5120 (all A all B all C all D (-v1_xboole_0(B) & m1_relset_1(C,A,B) & m1_pboole(D,B) & v2_relat_1(D) & v1_funct_2(C,A,B) & v1_funct_1(C) -> k8_pboole(A,B,C,D) = k5_relat_1(C,D))) # label(redefinition_k8_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5121 $T # label(t90_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5122 $T # label(t131_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5123 (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].
11.91/11.55	5124 (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].
11.91/11.55	5125 (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) <-> r1_pboole(A,D,B)))) -> r6_pboole(A,C,B)))))) # label(t147_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5126 (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].
11.91/11.55	5127 (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].
11.91/11.55	5128 (all A all B (v1_relat_1(A) & v1_funct_1(A) & v1_funct_1(B) & v1_funcop_1(B) & v1_relat_1(B) & v1_funcop_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].
11.91/11.55	5129 (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].
11.91/11.55	5130 (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].
11.91/11.55	5131 (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].
11.91/11.55	5132 (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].
11.91/11.55	5133 (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) -> r2_pboole(A,k2_pboole(A,B,D),C)))))))) # label(t18_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5134 (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].
11.91/11.55	5135 (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].
11.91/11.55	5136 (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) & r1_pboole(A,B,C) -> r1_pboole(A,B,D)))))))) # label(t9_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5137 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> m1_pboole(k12_pboole(A,B,C),A))) # label(dt_k12_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5138 $T # label(t33_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5139 (all A exists B m1_pboole(B,A)) # label(existence_m1_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5140 (all A all B (m1_pboole(B,A) & v2_relat_1(B) -> v1_relat_1(k6_pboole(A,B)) & -v3_relat_1(k6_pboole(A,B)) & v1_funct_1(k6_pboole(A,B)) & v2_relat_1(k6_pboole(A,B)))) # label(fc1_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5141 (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].
11.91/11.55	5142 (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].
11.91/11.55	5143 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> ((all D (r2_hidden(D,A) -> m1_subset_1(k1_funct_1(C,D),k1_funct_1(B,D)))) <-> m2_pboole(C,A,B)))))) # label(d17_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5144 $T # label(t14_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5145 (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].
11.91/11.55	5146 (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,D) & r2_pboole(A,B,C)))))))) # label(t44_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5147 (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].
11.91/11.55	5148 (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].
11.91/11.55	5149 $T # label(d2_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5150 (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].
11.91/11.55	5151 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k3_pboole(A,C,k4_pboole(A,B,C)),k1_pboole(A)) & r6_pboole(A,k3_pboole(A,k4_pboole(A,B,C),C),k1_pboole(A)))))) # label(t69_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5152 (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].
11.91/11.55	5153 $T # label(t32_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5154 (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].
11.91/11.55	5155 (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,B,C),C) & r6_pboole(A,k2_pboole(A,C,B),C)))))) # label(t24_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5156 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> (all D (m3_pboole(D,A,B,C) -> m1_pboole(D,A))))) # label(dt_m3_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5157 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r4_pboole(A,B,D) | r4_pboole(A,B,C) -> r4_pboole(A,B,k2_pboole(A,C,D))))))))) # label(t106_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5158 (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].
11.91/11.55	5159 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k3_pboole(A,k3_pboole(A,B,C),C),k3_pboole(A,B,C)) & r6_pboole(A,k3_pboole(A,B,k3_pboole(A,B,C)),k3_pboole(A,B,C)))))) # label(t48_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5160 (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].
11.91/11.55	5161 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> m1_pboole(k4_pboole(A,B,C),A))) # label(dt_k4_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5162 (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].
11.91/11.55	5163 (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].
11.91/11.55	5164 (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].
11.91/11.55	5165 (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].
11.91/11.55	5166 (all A all B all C (m1_pboole(C,A) & m1_pboole(B,A) -> (r6_pboole(A,B,C) -> r6_pboole(A,C,B)))) # label(symmetry_r6_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5167 (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].
11.91/11.55	5168 (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].
11.91/11.55	5169 (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].
11.91/11.55	5170 (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].
11.91/11.55	5171 (all A all B (m1_pboole(B,A) -> (v2_relat_1(B) <-> (all C -(r2_hidden(C,A) & v1_xboole_0(k1_funct_1(B,C))))))) # label(d16_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5172 (all A all B all C (m1_pboole(C,A) & m1_pboole(B,A) -> (r6_pboole(A,B,C) <-> C = B))) # label(redefinition_r6_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5173 (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].
11.91/11.55	5174 (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].
11.91/11.55	5175 (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].
11.91/11.55	5176 (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].
11.91/11.55	5177 (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].
11.91/11.55	5178 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) -> (all C (m1_subset_1(C,k2_relat_1(B)) -> (exists D (r2_hidden(D,A) & k1_funct_1(B,D) = C)))))))) # label(t150_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5179 (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].
11.91/11.55	5180 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r2_pboole(A,C,B) & v3_relat_1(B) -> v3_relat_1(C)))))) # label(t142_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5181 (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].
11.91/11.55	5182 (all A all B (m1_pboole(B,A) -> r6_pboole(A,k2_pboole(A,k1_pboole(A),B),B) & r6_pboole(A,k2_pboole(A,B,k1_pboole(A)),B))) # label(t53_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5183 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B all C k2_finseq_2(A,C) = k5_relat_1(k2_finseq_2(A,B),k2_funcop_1(k1_tarski(B),C))))) # label(t152_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5184 (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].
11.91/11.55	5185 (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].
11.91/11.55	5186 (all A all B (m1_pboole(B,A) -> r2_pboole(A,k1_pboole(A),B))) # label(t49_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5187 (all A all B all C all D (v1_funct_1(C) & v1_funct_2(C,A,B) & v2_relat_1(D) & m1_pboole(D,B) & m1_relset_1(C,A,B) & -v1_xboole_0(B) -> m1_pboole(k8_pboole(A,B,C,D),A) & v2_relat_1(k8_pboole(A,B,C,D)))) # label(dt_k8_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5188 (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) & r4_pboole(A,B,C) -> r4_pboole(A,B,D)))))))) # label(t108_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5189 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k2_pboole(A,B,k3_pboole(A,B,C)),B) & 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))))) # label(t37_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5190 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (k4_pboole(A,B,C) = D <-> (all E (r2_hidden(E,A) -> k4_xboole_0(k1_funct_1(B,E),k1_funct_1(C,E)) = k1_funct_1(D,E)))))))))) # label(d9_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5191 (all A all B (m1_pboole(B,A) -> -(k1_pboole(A) != B & r5_pboole(A,B,B)))) # label(t122_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5192 (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].
11.91/11.55	5193 (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].
11.91/11.55	5194 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) & -v1_xboole_0(A) -> (r3_pboole(A,B,C) -> -r3_pboole(A,C,B)))) # label(antisymmetry_r3_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5195 (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].
11.91/11.55	5196 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r1_pboole(A,B,D) & r1_pboole(A,B,C) <-> r1_pboole(A,B,k3_pboole(A,C,D))))))))) # label(t8_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5197 (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].
11.91/11.55	5198 (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)) -> (D = k2_funcop_1(k1_tarski(C),A) -> 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].
11.91/11.55	5199 (all A all B k2_funcop_1(A,B) = k10_pboole(A,B)) # label(redefinition_k10_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5200 (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].
11.91/11.55	5201 (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,E,D) & r2_pboole(A,E,C) -> r2_pboole(A,E,B)))) & r2_pboole(A,B,D) & r2_pboole(A,B,C) <-> r6_pboole(A,B,k3_pboole(A,C,D))))))))) # label(t29_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5202 (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].
11.91/11.55	5203 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) -> -(r4_pboole(A,B,B) & B = k1_pboole(A)))))) # label(t140_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5204 (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].
11.91/11.55	5205 (all A all B all C all D (-v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_pboole(D,B) & m1_relset_1(C,A,B) -> m1_pboole(k7_pboole(A,B,C,D),A))) # label(dt_k7_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5206 (all A all B (v2_relat_1(B) & m1_pboole(B,A) -> (exists C (m4_pboole(C,A,B) & v1_relat_1(C) & v1_funct_1(C) & v2_relat_1(C))))) # label(rc5_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5207 (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].
11.91/11.55	5208 (all A exists B (v1_relat_1(B) & v3_relat_1(B) & v1_funct_1(B) & m1_pboole(B,A))) # label(rc2_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5209 (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,C) & r4_pboole(A,B,D)))))))) # label(t111_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5210 (all A all B (m1_pboole(B,A) -> ((all C (r2_hidden(C,A) -> k1_xboole_0 = k1_funct_1(B,C))) -> B = k1_pboole(A)))) # label(t6_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5211 (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) -> k7_pboole(A,B,C,D) = k5_relat_1(C,D))) # label(redefinition_k7_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5212 (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].
11.91/11.55	5213 (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].
11.91/11.55	5214 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r2_pboole(A,B,C) & v2_relat_1(B) -> v2_relat_1(C)))))) # label(t143_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5215 (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].
11.91/11.55	5216 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> k5_pboole(A,B,C) = k2_pboole(A,k4_pboole(A,B,C),k4_pboole(A,C,B)))))) # label(d12_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5217 (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].
11.91/11.55	5218 (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].
11.91/11.55	5219 (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) -> k1_funct_1(D,E) = k2_zfmisc_1(k1_funct_1(B,E),k1_funct_1(C,E))))))))))) # label(d21_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5220 (all A all B (m1_pboole(B,A) -> (v3_relat_1(B) <-> (all C (r2_hidden(C,A) -> v1_xboole_0(k1_funct_1(B,C))))))) # label(d15_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5221 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r4_pboole(A,B,C) <-> (all D -(r2_hidden(D,A) & r1_xboole_0(k1_funct_1(B,D),k1_funct_1(C,D))))))))) # label(d10_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.55	5222 (all A all B (v1_funct_1(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))) -> ((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].
11.91/11.55	5223 (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].
11.91/11.56	5224 $T # label(t30_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5225 (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].
11.91/11.56	5226 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k4_pboole(A,B,k2_pboole(A,B,C)),k1_pboole(A)) & r6_pboole(A,k4_pboole(A,B,k2_pboole(A,C,B)),k1_pboole(A)))))) # label(t67_pboole) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5227 (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].
11.91/11.56	5228 (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].
11.91/11.56	5229 (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].
11.91/11.56	5230 (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].
11.91/11.56	5231 (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) -> v4_seq_2(k22_seq_1(A))))) # label(t26_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5232 $T # label(t12_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5233 (all A (v1_funct_1(A) & v1_funct_2(A,k5_numbers,k1_numbers) & m2_relset_1(A,k5_numbers,k1_numbers) -> (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].
11.91/11.56	5234 (all A (v2_membered(A) -> v1_xreal_0(k2_seq_4(A)))) # label(dt_k2_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5235 (all A (v1_xreal_0(A) -> k1_seq_4(A) = k1_tarski(A))) # label(redefinition_k1_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5236 (all A (v1_funct_2(A,k5_numbers,k1_numbers) & m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_1(A) -> (exists B (v1_funct_2(B,k5_numbers,k1_numbers) & v1_seqm_3(B) & m2_relset_1(B,k5_numbers,k1_numbers) & v6_seqm_3(k3_seqm_3(B,A)) & v7_seqm_3(B) & v1_funct_1(B))))) # label(t56_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5237 (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].
11.91/11.56	5238 (all A (m2_subset_1(A,k1_numbers,k5_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(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].
11.91/11.56	5239 (all A (-v1_xboole_0(A) & v2_membered(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].
11.91/11.56	5240 (all A (v2_membered(A) -> ((exists B ((all C (v1_xreal_0(C) -> (r2_hidden(C,A) -> r1_xreal_0(B,C)))) & v1_xreal_0(B))) <-> v2_seq_4(A)))) # label(d2_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5241 (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) <-> (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(B,k18_complex1(k5_real_1(k8_funct_2(k5_numbers,k1_numbers,A,D),k8_funct_2(k5_numbers,k1_numbers,A,C)))) & r1_xreal_0(C,D))))))))))) # label(t58_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5242 (all A (m1_subset_1(A,k1_zfmisc_1(k1_numbers)) -> k5_seq_4(A) = k3_seq_4(A))) # label(redefinition_k5_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5243 (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) -> (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].
11.91/11.56	5244 (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)))) & np__0 != k2_seq_2(A) & v4_seq_2(A)))) # label(t37_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5245 (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))) -> v4_seq_2(C) & k2_seq_2(C) = np__0 | r1_xreal_0(A,np__0)))))))) # label(t50_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5246 (all A (v1_funct_1(A) & m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_2(A,k5_numbers,k1_numbers) -> (v5_seqm_3(A) -> v4_seq_2(A)))) # label(t39_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5247 (all A (v2_membered(A) & -v1_xboole_0(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].
11.91/11.56	5248 (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(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].
11.91/11.56	5249 (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) & r2_hidden(A,k2_relat_1(B)) | (exists C (A = k8_funct_2(k5_numbers,k1_numbers,B,C) & m2_subset_1(C,k1_numbers,k5_numbers))) & v5_seqm_3(B) -> A = k2_seq_2(B)))))) # label(t40_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5250 (all A (m1_subset_1(A,k1_zfmisc_1(k1_numbers)) -> (v2_seq_4(A) & v1_seq_4(A) <-> v3_seq_4(A)))) # label(d3_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5251 (all A (v1_xreal_0(A) -> (all B (v2_membered(B) & -v1_xboole_0(B) -> ((all C (v1_xreal_0(C) -> (r2_hidden(C,B) -> r1_xreal_0(A,C)))) & (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)))) -> k3_seq_4(B) = A))))) # label(t61_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5252 (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) -> -((all E (v1_xreal_0(E) -> -(r2_hidden(E,C) & -r1_xreal_0(E,k6_xcmplx_0(A,D))))) & -r1_xreal_0(D,np__0)))) & (all D (v1_xreal_0(D) -> (r2_hidden(D,C) -> r1_xreal_0(D,B)))) & (all D (v1_xreal_0(D) -> -(-r1_xreal_0(D,np__0) & (all E (v1_xreal_0(E) -> -(-r1_xreal_0(E,k6_xcmplx_0(B,D)) & r2_hidden(E,C))))))) -> B = A))))))) # label(t17_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5253 (all A (v1_xreal_0(A) -> (all B (v1_xreal_0(B) -> (all C (v1_funct_2(C,k5_numbers,k1_numbers) & m2_relset_1(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].
11.91/11.56	5254 (all A (v1_funct_1(A) & v1_funct_2(A,k5_numbers,k1_numbers) & m2_relset_1(A,k5_numbers,k1_numbers) -> (v6_seqm_3(A) & v3_seq_2(A) -> v4_seq_2(A)))) # label(t53_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5255 (all A (v2_membered(A) -> -(-v1_xboole_0(A) & v1_seq_4(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) -> -(-r1_xreal_0(C,np__0) & (all D (v1_xreal_0(D) -> -(-r1_xreal_0(D,k6_xcmplx_0(B,C)) & r2_hidden(D,A))))))))))))) # label(t16_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5256 $T # label(t7_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5257 (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].
11.91/11.56	5258 (all A (v1_funct_2(A,k5_numbers,k1_numbers) & m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_1(A) -> ((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].
11.91/11.56	5259 (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_1(B) & m2_relset_1(B,k5_numbers,k1_numbers) & v1_funct_2(B,k5_numbers,k1_numbers) -> (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,A,D) != k8_funct_2(k5_numbers,k1_numbers,B,D) & r1_xreal_0(C,D) & m2_subset_1(D,k1_numbers,k5_numbers)))))))))) # label(t31_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5260 (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) -> k7_xcmplx_0(np__1,k2_xcmplx_0(k2_nat_1(C,C),A)) = k8_funct_2(k5_numbers,k1_numbers,B,C))) -> r1_xreal_0(A,np__0) | v4_seq_2(B)))))) # label(t47_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5261 (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) -> k18_complex1(k2_seq_2(A)) = k2_seq_2(k22_seq_1(A))))) # label(t27_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5262 (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_1(B) & m2_relset_1(B,k5_numbers,k1_numbers) & v1_funct_2(B,k5_numbers,k1_numbers) -> (v4_seq_2(B) & m1_seqm_3(A,B) -> v4_seq_2(A)))))) # label(t29_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5263 (all A (m1_subset_1(A,k1_zfmisc_1(k1_numbers)) -> (v3_seq_4(A) -> v1_xboole_0(A) | -((exists B (v1_xreal_0(B) & (exists C (C != B & r2_hidden(C,A) & r2_hidden(B,A) & v1_xreal_0(C))))) & r1_xreal_0(k4_seq_4(A),k5_seq_4(A))) & -(-r1_xreal_0(k4_seq_4(A),k5_seq_4(A)) & (all B (v1_xreal_0(B) -> (all C (v1_xreal_0(C) -> -(r2_hidden(B,A) & C != B & r2_hidden(C,A)))))))))) # label(t25_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5264 $T # label(t34_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5265 $T # label(t3_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5266 $T # label(t6_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5267 (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) & (all B (m2_relset_1(B,k5_numbers,k1_numbers) & v1_funct_2(B,k5_numbers,k1_numbers) & v1_funct_1(B) -> -(v2_relat_1(B) & m1_seqm_3(B,A)))) & k2_seq_2(A) != np__0))) # label(t38_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5268 $T # label(t13_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5269 $T # label(t4_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5270 (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].
11.91/11.56	5271 (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_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) -> k3_real_1(k8_funct_2(k5_numbers,k1_numbers,A,np__0),k2_seq_2(B)) = k2_seq_2(k9_seq_1(A,B)) & 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)) & k4_real_1(k8_funct_2(k5_numbers,k1_numbers,A,np__0),k2_seq_2(B)) = k2_seq_2(k11_seq_1(A,B)) & k2_seq_2(k10_seq_1(B,A)) = k5_real_1(k2_seq_2(B),k8_funct_2(k5_numbers,k1_numbers,A,np__0))))))) # label(t59_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5272 $T # label(t21_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5273 (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].
11.91/11.56	5274 (all A (v2_membered(A) -> -(-v1_xboole_0(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) -> -((all D (v1_xreal_0(D) -> -(-r1_xreal_0(k2_xcmplx_0(B,C),D) & r2_hidden(D,A)))) & -r1_xreal_0(C,np__0)))))))))) # label(t18_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5275 (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_relset_1(B,k5_numbers,k1_numbers) & v1_funct_2(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].
11.91/11.56	5276 (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].
11.91/11.56	5277 (all A (v1_xreal_0(A) -> v3_seq_4(k1_seq_4(A)))) # label(t15_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5278 $T # label(t20_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5279 $T # label(t11_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5280 $T # label(t5_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5281 (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) -> (exists D (v1_xreal_0(D) & -r1_xreal_0(D,C) & r2_hidden(D,B))))) | (all C (v1_xreal_0(C) -> -r2_hidden(C,B)))))))) # label(t9_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5282 (all A (v1_xreal_0(A) -> k4_seq_4(k1_seq_4(A)) = A & k5_seq_4(k1_seq_4(A)) = A)) # label(t22_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5283 (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(A) -> v4_seq_2(B) | (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> k1_seqm_3(B,C) != A))))))) # label(t35_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5284 (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) & v1_funct_2(A,k5_numbers,k1_numbers) & v1_seq_1(A) & v4_seq_2(A)))) # label(cc1_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5285 (all A (v2_membered(A) -> (v1_seq_4(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(D,k6_xcmplx_0(B,C)) & r2_hidden(D,A))))))) & (all C (v1_xreal_0(C) -> (r2_hidden(C,A) -> r1_xreal_0(C,B)))) <-> k2_seq_4(A) = B))) | v1_xboole_0(A)))) # label(d4_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5286 (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(A) -> k2_seq_2(B) = k2_seq_2(A) | (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> A != k1_seqm_3(B,C)))))))) # label(t36_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5287 (all A (v2_membered(A) -> (v2_seq_4(A) -> v1_xboole_0(A) | (all B (v1_xreal_0(B) -> (k3_seq_4(A) = B <-> (all C (v1_xreal_0(C) -> -((all D (v1_xreal_0(D) -> -(-r1_xreal_0(k2_xcmplx_0(B,C),D) & r2_hidden(D,A)))) & -r1_xreal_0(C,np__0)))) & (all C (v1_xreal_0(C) -> (r2_hidden(C,A) -> r1_xreal_0(B,C)))))))))) # label(d5_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5288 (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_2(B,k5_numbers,k1_numbers) & m2_relset_1(B,k5_numbers,k1_numbers) & v1_funct_1(B) -> (v4_seq_2(A) -> k2_seq_2(B) = k2_seq_2(A) | (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) & k8_funct_2(k5_numbers,k1_numbers,B,D) != k8_funct_2(k5_numbers,k1_numbers,A,D)))))))))) # label(t32_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5289 (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].
11.91/11.56	5290 (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].
11.91/11.56	5291 (all A (v2_membered(A) -> v1_xreal_0(k3_seq_4(A)))) # label(dt_k3_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5292 (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) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> k8_funct_2(k5_numbers,k1_numbers,A,B) = k2_seq_2(A)))))) # label(t41_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5293 (all A (v1_funct_1(A) & m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_2(A,k5_numbers,k1_numbers) -> (v4_seq_2(k22_seq_1(A)) & np__0 = k2_seq_2(k22_seq_1(A)) -> k2_seq_2(A) = np__0 & v4_seq_2(A)))) # label(t28_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	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(A,D)))) & (all D (v1_xreal_0(D) -> -((all E (v1_xreal_0(E) -> -(r2_hidden(E,C) & -r1_xreal_0(k2_xcmplx_0(A,D),E)))) & -r1_xreal_0(D,np__0)))) & (all D (v1_xreal_0(D) -> -((all E (v1_xreal_0(E) -> -(-r1_xreal_0(k2_xcmplx_0(B,D),E) & r2_hidden(E,C)))) & -r1_xreal_0(D,np__0)))) & (all D (v1_xreal_0(D) -> (r2_hidden(D,C) -> r1_xreal_0(B,D)))) -> A = B))))))) # label(t19_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5295 (all A (v2_membered(A) -> (v1_seq_4(A) <-> (exists B (v1_xreal_0(B) & (all C (v1_xreal_0(C) -> (r2_hidden(C,A) -> r1_xreal_0(C,B))))))))) # label(d1_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5296 (all A (m1_subset_1(A,k1_zfmisc_1(k1_numbers)) -> (v3_seq_4(A) <-> (exists B (-r1_xreal_0(B,np__0) & (all C (v1_xreal_0(C) -> -(r1_xreal_0(B,k18_complex1(C)) & r2_hidden(C,A)))) & v1_xreal_0(B)))))) # label(t14_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5297 (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) -> v4_seq_2(A)))) # label(t51_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5298 (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].
11.91/11.56	5299 (all A (v1_funct_1(A) & m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_2(A,k5_numbers,k1_numbers) -> (v4_seqm_3(A) & v2_seq_2(A) -> v4_seq_2(A)))) # label(t52_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5300 (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) | np__0 = k2_seq_2(B)))))) # label(t48_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5301 (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(C,A)))) -> k2_seq_2(B) = np__0 | r1_xreal_0(A,np__0)))))) # label(t44_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5302 (all A (v1_xreal_0(A) -> (all B (v1_funct_2(B,k5_numbers,k1_numbers) & m2_relset_1(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].
11.91/11.56	5303 (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))) -> np__0 = k2_seq_2(A) & v4_seq_2(A)))) # label(t45_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5304 (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) -> (all D (v1_xreal_0(D) -> -(r2_hidden(C,A) & r1_xreal_0(D,C) & r2_hidden(D,B)))))) & (all C (v1_xreal_0(C) -> (exists D ((exists E (v1_xreal_0(E) & r2_hidden(D,A) & -(r1_xreal_0(D,C) & r1_xreal_0(C,E)) & r2_hidden(E,B))) & v1_xreal_0(D)))))))))) # label(t8_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5305 (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_1(B) & m2_relset_1(B,k5_numbers,k1_numbers) & v1_funct_2(B,k5_numbers,k1_numbers) -> (m1_seqm_3(B,A) & v2_relat_1(B) -> k2_seq_2(k18_seq_1(B)) = k2_real_1(k2_seq_2(A)))))))) # label(t42_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5306 (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(B) & m1_seqm_3(B,A)))) & v3_seq_2(A)))) # label(t57_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5307 $T # label(t2_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5308 $T # label(t1_seq_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5309 $T # label(dt_k3_multop_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5310 (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_2(E,k3_zfmisc_1(A,B,C),D) & m2_relset_1(E,k3_zfmisc_1(A,B,C),D) & v1_funct_1(E) -> (all F (m2_relset_1(F,k3_zfmisc_1(A,B,C),D) & v1_funct_2(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) -> k2_multop_1(A,B,C,D,E,G,H,I) = k2_multop_1(A,B,C,D,F,G,H,I))))))) -> E = F))))))))))))) # label(t4_multop_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5311 $T # label(t1_multop_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5312 $T # label(dt_k1_multop_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5313 (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].
11.91/11.56	5314 (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_2(A,k3_zfmisc_1(f1_s2_multop_1,f1_s2_multop_1,f1_s2_multop_1),f1_s2_multop_1) & m2_relset_1(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)))))))) & v1_funct_1(A))) # label(s2_multop_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5315 (all A (-v1_xboole_0(A) -> (all B all C all D all E all 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) & v1_funct_1(F) -> (all G (m2_relset_1(G,k4_zfmisc_1(B,C,D,E),A) & v1_funct_2(G,k4_zfmisc_1(B,C,D,E),A) & v1_funct_1(G) -> ((all H all I all J all K (r2_hidden(J,D) & r2_hidden(K,E) & r2_hidden(I,C) & 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)))) -> F = G))))))) # label(t6_multop_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5316 $T # label(t5_multop_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	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 (v1_funct_2(F,k3_zfmisc_1(B,C,D),A) & m2_relset_1(F,k3_zfmisc_1(B,C,D),A) & v1_funct_1(F) -> ((all G all H all I (r2_hidden(G,B) & r2_hidden(I,D) & r2_hidden(H,C) -> 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].
11.91/11.56	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 (v1_funct_2(F,k4_zfmisc_1(A,B,C,D),E) & m2_relset_1(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) -> k8_funct_2(k4_zfmisc_1(A,B,C,D),E,G,k5_domain_1(A,B,C,D,H,I,J,K)) = k8_funct_2(k4_zfmisc_1(A,B,C,D),E,F,k5_domain_1(A,B,C,D,H,I,J,K)))))))))) -> F = G))))))))))))))) # label(t7_multop_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5319 (exists A (v1_funct_1(A) & v1_funct_2(A,k3_zfmisc_1(f1_s3_multop_1,f2_s3_multop_1,f3_s3_multop_1),f4_s3_multop_1) & (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))) # label(s3_multop_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5320 (all A (v1_relat_1(A) & v1_funct_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].
11.91/11.56	5321 (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 (p1_s6_multop_1(A,B,C,D,E) & m1_subset_1(E,f1_s6_multop_1))))))))))) -> (exists A (v1_funct_1(A) & 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) & 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) & (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)))))))))))) # label(s6_multop_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5322 (all A all B all C all D all E all F all G all H (-v1_xboole_0(A) & -v1_xboole_0(C) & -v1_xboole_0(D) & 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(B) -> 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].
11.91/11.56	5323 (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_2(G,k4_zfmisc_1(A,B,C,D),E) & m2_relset_1(G,k4_zfmisc_1(A,B,C,D),E) & v1_funct_1(G) -> ((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].
11.91/11.56	5324 (all A all B all C all D all E all F all G all H (-v1_xboole_0(A) & m1_subset_1(G,B) & m1_subset_1(H,C) & m1_subset_1(F,A) & m1_relset_1(E,k3_zfmisc_1(A,B,C),D) & v1_funct_2(E,k3_zfmisc_1(A,B,C),D) & v1_funct_1(E) & -v1_xboole_0(D) & -v1_xboole_0(C) & -v1_xboole_0(B) -> 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].
11.91/11.56	5325 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C all D k1_multop_1(A,B,C,D) = k1_funct_1(A,k3_mcart_1(B,C,D))))) # label(d1_multop_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5326 (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 (m1_subset_1(D,f4_s1_multop_1) & p1_s1_multop_1(A,B,C,D))))))))) -> (exists A (v1_funct_2(A,k3_zfmisc_1(f1_s1_multop_1,f2_s1_multop_1,f3_s1_multop_1),f4_s1_multop_1) & m2_relset_1(A,k3_zfmisc_1(f1_s1_multop_1,f2_s1_multop_1,f3_s1_multop_1),f4_s1_multop_1) & (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))))))))) & v1_funct_1(A))) # label(s1_multop_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5327 (exists A (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)))))))))) & 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) & v1_funct_1(A))) # label(s7_multop_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5328 (exists A (v1_funct_1(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))) # label(s8_multop_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5329 (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,k3_zfmisc_1(A,B,C),D) & v1_funct_2(E,k3_zfmisc_1(A,B,C),D) -> (all F (v1_funct_1(F) & v1_funct_2(F,k3_zfmisc_1(A,B,C),D) & m2_relset_1(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) -> k8_funct_2(k3_zfmisc_1(A,B,C),D,F,k4_domain_1(A,B,C,G,H,I)) = k8_funct_2(k3_zfmisc_1(A,B,C),D,E,k4_domain_1(A,B,C,G,H,I)))))))) -> F = E))))))))))))) # label(t3_multop_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.56	5330 (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 (m1_subset_1(E,f5_s5_multop_1) & p1_s5_multop_1(A,B,C,D,E))))))))))) -> (exists A (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) & 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) & (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))))))))))) & v1_funct_1(A))) # label(s5_multop_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5331 (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(C) & -v1_xboole_0(E) & v1_funct_1(F) & v1_funct_2(F,k4_zfmisc_1(A,B,C,D),E) & m1_subset_1(G,A) & m1_subset_1(J,D) & m1_subset_1(I,C) & m1_subset_1(H,B) & m1_relset_1(F,k4_zfmisc_1(A,B,C,D),E) & -v1_xboole_0(D) & -v1_xboole_0(B) -> 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].
11.91/11.57	5332 (all A all B all C all D all E all F all G all H all I all J (-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_relset_1(F,k4_zfmisc_1(A,B,C,D),E) & m1_subset_1(I,C) & m1_subset_1(J,D) & m1_subset_1(H,B) & m1_subset_1(G,A) & -v1_xboole_0(C) & -v1_xboole_0(B) & -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].
11.91/11.57	5333 (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].
11.91/11.57	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].
11.91/11.57	5335 (all A all B (-v1_realset1(A) & m1_subset_1(B,A) -> k1_tarski(B) = k5_realset1(A,B))) # label(redefinition_k5_realset1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5336 (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)) & v1_funct_2(k1_realset1(C,B),k2_zfmisc_1(B,B),B) & m2_relset_1(k1_realset1(C,B),k2_zfmisc_1(B,B),B))))) # label(t9_realset1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5337 (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(t6_realset1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5338 (all A (-v1_realset1(A) -> (exists B m4_realset1(B,A)))) # label(existence_m4_realset1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5339 (all A (-v1_realset1(A) -> -v1_xboole_0(A))) # label(cc1_realset1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5340 $T # label(dt_k1_realset1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5341 (all A all B (m1_subset_1(B,A) -> (exists 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 (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(t10_realset1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5342 (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 (m1_subset_1(C,A) -> (r2_realset1(A,B,C) <-> m1_realset1(k4_xboole_0(A,k1_tarski(C)),A,B) & v1_funct_1(k4_xboole_0(k1_realset1(B,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))) & 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)))))))))) # label(d5_realset1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5343 $T # label(dt_m4_realset1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5344 (all A (v1_relat_1(A) -> (all B k7_relat_1(A,k2_zfmisc_1(B,B)) = k1_realset1(A,B)))) # label(d3_realset1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5345 (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_realset1(C,A,B) -> v1_funct_2(k1_realset1(B,C),k2_zfmisc_1(C,C),C) & m2_relset_1(k1_realset1(B,C),k2_zfmisc_1(C,C),C) & v1_funct_1(k1_realset1(B,C)))))) # label(t3_realset1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5346 (all A all B all C (m1_realset1(C,A,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) -> v1_funct_2(k2_realset1(A,B,C),k2_zfmisc_1(C,C),C) & m2_relset_1(k2_realset1(A,B,C),k2_zfmisc_1(C,C),C) & v1_funct_1(k2_realset1(A,B,C)))) # label(dt_k2_realset1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5347 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (exists C (v1_funct_1(C) & (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) & v1_funct_2(C,k2_zfmisc_1(A,A),A))))) # label(t8_realset1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5348 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> -((exists C (m1_subset_1(C,A) & (exists D (m1_subset_1(D,A) & r2_hidden(D,B) & D != C & r2_hidden(C,B))))) & v1_realset1(B)) & -((all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> -(r2_hidden(D,B) & C != D & r2_hidden(C,B)))))) & -v1_realset1(B)))) # label(t15_realset1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5349 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m2_realset1(C,A,B) -> k1_realset1(C,B) = k3_realset1(A,B,C))))) # label(d7_realset1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5350 (all A all B (m1_subset_1(B,A) -> (all C (v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> ((all D (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))))) <-> m3_realset1(C,A,B)))))) # label(d8_realset1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5351 (all A (-v1_realset1(A) -> (all B ((exists C (k1_tarski(C) = B & m1_subset_1(C,A))) <-> m4_realset1(B,A))))) # label(d10_realset1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5352 (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].
11.91/11.57	5353 (all A all B all C (m2_realset1(C,A,B) & m1_subset_1(B,k1_zfmisc_1(A)) -> v1_funct_1(k3_realset1(A,B,C)) & v1_funct_2(k3_realset1(A,B,C),k2_zfmisc_1(B,B),B) & m2_relset_1(k3_realset1(A,B,C),k2_zfmisc_1(B,B),B))) # label(dt_k3_realset1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5354 (all A (-(v1_realset1(A) & (exists B exists C (r2_hidden(B,A) & r2_hidden(C,A) & C != B))) & -(-v1_realset1(A) & (all B all C -(r2_hidden(B,A) & B != C & r2_hidden(C,A)))))) # label(t14_realset1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5355 (all A all 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) -> (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].
11.91/11.57	5356 (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].
11.91/11.57	5357 (all A all B all C (m1_subset_1(B,A) & m3_realset1(C,A,B) & -v1_realset1(A) -> v1_funct_1(k4_realset1(A,B,C)) & 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))))) # label(dt_k4_realset1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5358 (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) -> ((all D (r2_hidden(D,k2_zfmisc_1(B,B)) -> r2_hidden(k1_funct_1(C,D),B))) <-> m2_realset1(C,A,B)))))) # label(d6_realset1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5359 (all A (-v1_realset1(A) -> (all B (m1_subset_1(B,A) -> (all C (m3_realset1(C,A,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))) & 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_1(k1_realset1(C,k4_xboole_0(A,k1_tarski(B)))))))))) # label(t11_realset1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5360 (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) -> (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].
11.91/11.57	5361 (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].
11.91/11.57	5362 (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,k1_zfmisc_1(A)) -> ((all D (r2_hidden(D,k2_zfmisc_1(C,C)) -> r2_hidden(k1_funct_1(B,D),C))) <-> m1_realset1(C,A,B)))))) # label(d2_realset1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5363 (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].
11.91/11.57	5364 (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].
11.91/11.57	5365 (all A (v1_realset1(A) <-> -(-v1_xboole_0(A) & (all B k1_tarski(B) != A)))) # label(d4_realset1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5366 (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) -> k2_realset1(A,B,C) = k1_realset1(B,C))) # label(redefinition_k2_realset1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5367 (exists A (-v1_xboole_0(A) & v1_realset1(A))) # label(rc1_realset1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5368 (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].
11.91/11.57	5369 (all A all B (m1_subset_1(B,A) & -v1_realset1(A) -> m4_realset1(k5_realset1(A,B),A))) # label(dt_k5_realset1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5370 (all A all B (m1_subset_1(B,A) -> (all C (m3_realset1(C,A,B) -> v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A))))) # label(dt_m3_realset1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5371 (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].
11.91/11.57	5372 (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].
11.91/11.57	5373 (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 (m1_realset1(C,A,B) -> m1_subset_1(C,k1_zfmisc_1(A)))))) # label(dt_m1_realset1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5374 (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,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].
11.91/11.57	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].
11.91/11.57	5376 (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].
11.91/11.57	5377 (all A all B (v1_relat_1(A) -> v1_relat_1(k1_realset1(A,B)))) # label(fc1_realset1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5378 (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].
11.91/11.57	5379 (exists A (-v1_realset1(A) & -v1_xboole_0(A))) # label(rc2_realset1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5380 (all A (-v1_realset1(A) -> (exists B (-v1_xboole_0(B) & m4_realset1(B,A))))) # label(rc3_realset1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5381 (all A (v1_funct_1(A) & v1_funcop_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].
11.91/11.57	5382 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C (v1_funct_1(C) & v1_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))) & k1_relat_1(C) = k1_relat_1(A) <-> k8_funct_6(A,B) = C))))) # label(d8_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5383 $T # label(d10_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5384 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C k5_funct_6(A,B,C) = k1_funct_1(k4_funct_5(A),k4_tarski(B,C))))) # label(d5_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5385 (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,k1_relat_1(k6_funct_6(B))) & C = k1_funct_1(k6_funct_6(B),A) -> (all D (r2_hidden(D,k1_relat_1(C)) -> r2_hidden(k4_tarski(D,A),k1_relat_1(k4_funct_5(B))) & k1_funct_1(C,D) = k1_funct_1(k4_funct_5(B),k4_tarski(D,A)))) & k1_relat_1(C) = k10_relat_1(B,k1_funct_6(k2_relat_1(B)))))))) # label(t51_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5386 (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)) -> (all E all F (k4_tarski(E,F) = k1_funct_1(k15_funct_3(C,D),k4_tarski(A,B)) <-> k10_finseq_1(E,F) = k1_funct_1(k7_funct_6(k10_finseq_1(C,D)),k10_finseq_1(A,B))))))))) # label(t68_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5387 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> k3_funct_6(k2_funcop_1(A,B)) = k2_funcop_1(A,k2_relat_1(B)) & k2_funct_6(k2_funcop_1(A,B)) = k2_funcop_1(A,k1_relat_1(B)))) # label(t36_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5388 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (r2_hidden(B,k1_relat_1(k10_funct_6(A))) -> v1_relat_1(k1_funct_1(k10_funct_6(A),B)) & v1_funct_1(k1_funct_1(k10_funct_6(A),B)))))) # label(t84_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5389 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> k2_zfmisc_1(A,k1_relat_1(B)) = k1_relat_1(k4_funct_5(k2_funcop_1(A,B))) & k1_relat_1(k6_funct_5(k2_funcop_1(A,B))) = k2_zfmisc_1(k1_relat_1(B),A) & r1_tarski(k2_relat_1(k6_funct_5(k2_funcop_1(A,B))),k2_relat_1(B)) & r1_tarski(k2_relat_1(k4_funct_5(k2_funcop_1(A,B))),k2_relat_1(B)))) # label(t17_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5390 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> k4_card_3(k2_finseq_2(A,B)) = k4_finseq_2(A,B))))) # label(t9_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5391 (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)))) -> k2_funct_5(k1_funct_1(A,C)) = k1_funct_1(B,C))) <-> B = k3_funct_6(A)))))) # label(d3_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5392 (all A all 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(C)) & D = k1_funct_1(C,A) & r2_hidden(B,k1_relat_1(D)) -> k5_funct_6(C,A,B) = k1_funct_1(D,B)))))) # label(t44_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5393 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_2(C,A,A) & m2_relset_1(C,A,A) & v3_funct_2(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].
11.91/11.57	5394 (all A all B all C all D all E all F (v1_relat_1(F) & v1_funct_1(F) -> (k1_relat_1(F) = A & r1_tarski(k2_relat_1(F),k4_partfun1(D,E)) -> -r2_hidden(k6_funct_5(F),k1_funct_2(k2_zfmisc_1(B,A),C)) & -r2_hidden(k4_funct_5(F),k1_funct_2(k2_zfmisc_1(A,B),C)) | r2_hidden(F,k1_funct_2(A,k1_funct_2(B,C)))))) # label(t22_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5395 (all A all B (v1_funct_1(B) & v1_relat_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].
11.91/11.57	5396 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (A != k1_xboole_0 -> k1_relat_1(k6_funct_6(k2_funcop_1(A,B))) = k1_relat_1(B) & (all C (r2_hidden(C,k1_relat_1(B)) -> k2_funcop_1(A,k1_funct_1(B,C)) = k1_funct_1(k6_funct_6(k2_funcop_1(A,B)),C)))))) # label(t63_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5397 (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].
11.91/11.57	5398 (all A all B (k1_xboole_0 != A -> k3_card_3(k2_funcop_1(A,B)) = B & k4_funct_6(k2_funcop_1(A,B)) = B)) # label(t43_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5399 (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(B,A) = C -> r1_tarski(k2_relat_1(C),k2_relat_1(k6_funct_5(B))) & r1_tarski(k2_relat_1(C),k2_relat_1(k4_funct_5(B)))))))) # label(t16_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5400 (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].
11.91/11.57	5401 (all A (v1_relat_1(A) & v1_funct_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].
11.91/11.57	5402 (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(D,k2_relat_1(C)) -> r2_hidden(A,k1_relat_1(D))))) & r2_hidden(B,k2_relat_1(C)) -> r2_hidden(A,k1_relat_1(k6_funct_6(C)))))))) # label(t53_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5403 (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 (m1_subset_1(F,C) & m1_subset_1(G,D) & A = k11_finseq_1(E,F,G) & m1_subset_1(E,B)))))) # label(fraenkel_a_3_0_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5404 (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].
11.91/11.57	5405 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (k1_xboole_0 != B -> ((all C (r2_hidden(C,k1_relat_1(B)) -> r2_hidden(A,k1_funct_1(B,C)))) <-> r2_hidden(A,k4_funct_6(B)))))) # label(t37_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5406 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_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))) & k4_card_3(k10_finseq_1(k2_relat_1(A),k2_relat_1(B))) = k2_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)) -> k10_finseq_1(k1_funct_1(A,C),k1_funct_1(B,D)) = k1_funct_1(k7_funct_6(k10_finseq_1(A,B)),k10_finseq_1(C,D)))))))) # label(t65_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5407 (all A all B (B = k1_funct_6(A) <-> (all C (r2_hidden(C,B) <-> v1_relat_1(C) & v1_funct_1(C) & r2_hidden(C,A))))) # label(d1_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5408 (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].
11.91/11.57	5409 (all A (A = k4_funct_6(k9_finseq_1(A)) & k3_card_3(k9_finseq_1(A)) = A)) # label(t39_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5410 (all A all B all C k9_funct_6(A,k10_finseq_1(B,C)) = k10_finseq_1(k1_funct_2(A,B),k1_funct_2(A,C))) # label(t81_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5411 (all A k8_funct_6(k1_xboole_0,A) = k1_xboole_0) # label(t73_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5412 (all A (v1_relat_1(A) & v1_funct_1(A) -> r1_tarski(k2_relat_1(k6_funct_6(A)),k4_card_3(k3_funct_6(A))) & k1_relat_1(k6_funct_6(A)) = k4_funct_6(k2_funct_6(A)))) # label(t49_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5413 (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_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].
11.91/11.57	5414 (all A all B k9_finseq_1(k1_funct_2(A,B)) = k9_funct_6(A,k9_finseq_1(B))) # label(t80_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5415 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (k1_relat_1(B) = k4_card_3(k2_funct_6(A)) & (all C (v1_relat_1(C) & v1_funct_1(C) -> -((all D (v1_relat_1(D) & v1_funct_1(D) -> -(k1_funct_1(B,C) = D & k1_relat_1(D) = k10_relat_1(A,k1_funct_6(k2_relat_1(A))) & (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)))))) & r2_hidden(C,k4_card_3(k2_funct_6(A)))))) <-> k7_funct_6(A) = B))))) # label(d7_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5416 (all A all B all C all D (v1_funct_1(D) & v1_relat_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].
11.91/11.57	5417 (all A all B all C k8_funct_6(k10_finseq_1(A,B),C) = k10_finseq_1(k1_funct_2(A,C),k1_funct_2(B,C))) # label(t75_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5418 (all A (-v1_xboole_0(A) -> k4_finseq_2(np__2,A) = k4_card_3(k10_finseq_1(A,A)))) # label(t6_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5419 (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,k4_partfun1(k2_zfmisc_1(A,B),C)) | -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)))))) # label(t25_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5420 (all A (v1_relat_1(A) & v1_funct_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].
11.91/11.57	5421 (all A all B all C all D (v1_relat_1(D) & v1_funct_1(D) -> (r2_hidden(C,k1_relat_1(D)) & r2_hidden(A,B) -> k1_funct_1(D,C) = k5_funct_6(k2_funcop_1(B,D),A,C)))) # label(t48_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5422 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (r2_hidden(B,k1_relat_1(A)) -> k1_funct_1(k7_funct_6(k9_finseq_1(A)),k9_finseq_1(B)) = k9_finseq_1(k1_funct_1(A,B)))) & k2_relat_1(k7_funct_6(k9_finseq_1(A))) = k4_card_3(k9_finseq_1(k2_relat_1(A))) & 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].
11.91/11.57	5423 (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))) -> B = k1_xboole_0 | (all E (v1_relat_1(E) & v1_funct_1(E) -> (all F (v1_relat_1(F) & v1_funct_1(F) -> (all G all H (r2_hidden(H,B) & E = k1_funct_1(D,G) & k1_funct_1(k10_funct_6(D),H) = F & r2_hidden(G,A) -> k1_funct_1(F,G) = k1_funct_1(E,H) & k1_relat_1(F) = A & k1_relat_1(E) = B & r1_tarski(k2_relat_1(F),C) & r1_tarski(k2_relat_1(E),C))))))) | k1_xboole_0 = A))) # label(t86_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5424 (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].
11.91/11.57	5425 (all A all B all C all D (v1_funct_1(D) & v1_relat_1(D) -> (r2_hidden(D,k1_funct_2(A,k1_funct_2(B,C))) -> k1_xboole_0 = B | r2_hidden(k10_funct_6(D),k1_funct_2(B,k1_funct_2(A,C))) | A = k1_xboole_0))) # label(t85_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5426 (all A (v1_funct_1(A) & v1_relat_1(A) -> (-r2_hidden(k1_xboole_0,k2_relat_1(A)) -> k8_funct_6(A,k1_xboole_0) = k2_funcop_1(k1_relat_1(A),k1_xboole_0)))) # label(t72_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5427 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (r2_hidden(A,k1_relat_1(B)) & v1_relat_1(k1_funct_1(B,A)) & v1_funct_1(k1_funct_1(B,A)) <-> r2_hidden(A,k10_relat_1(B,k1_funct_6(k2_relat_1(B))))))) # label(t28_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5428 (all A k9_funct_6(A,k1_xboole_0) = k1_xboole_0) # label(t79_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5429 (all A all B all C all D (v1_funct_1(D) & v1_relat_1(D) -> (r2_hidden(D,k1_funct_2(A,k1_funct_2(B,C))) -> D = k10_funct_6(k10_funct_6(D)) | B = k1_xboole_0 | A = k1_xboole_0))) # label(t87_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5430 (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(B,A) = C & r2_hidden(A,k1_relat_1(B)) -> r2_hidden(A,k1_relat_1(k3_funct_6(B))) & k2_relat_1(C) = k1_funct_1(k3_funct_6(B),A) & k1_relat_1(C) = k1_funct_1(k2_funct_6(B),A) & r2_hidden(A,k1_relat_1(k2_funct_6(B)))))))) # label(t31_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5431 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> a_3_0_funct_6(A,B,C) = k4_card_3(k11_finseq_1(A,B,C)))))))) # label(t7_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5432 (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_relat_1(D) & v1_funct_1(D) -> (r2_hidden(A,k1_relat_1(B)) -> k1_funct_1(B,A) = k5_funct_6(k9_finseq_1(B),np__1,A) & k5_funct_6(k11_finseq_1(B,C,D),np__1,A) = k1_funct_1(B,A) & k5_funct_6(k10_finseq_1(B,C),np__1,A) = k1_funct_1(B,A)))))))) # label(t45_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5433 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (r2_hidden(A,k1_relat_1(k6_funct_6(B))) -> v1_funct_1(k1_funct_1(k6_funct_6(B),A)) & v1_relat_1(k1_funct_1(k6_funct_6(B),A))))) # label(t50_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5434 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (all E (v1_relat_1(E) & v1_funct_1(E) -> (r2_hidden(B,k1_relat_1(k6_funct_6(C))) & E = k1_funct_1(k6_funct_6(C),B) & D = k1_funct_1(C,A) & r2_hidden(A,k1_relat_1(C)) -> k1_funct_1(D,B) = k1_funct_1(E,A)))))))) # label(t54_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5435 (all A all B all C (-v1_xboole_0(B) & -v1_xboole_0(C) -> ((exists D exists E (A = k10_finseq_1(D,E) & m1_subset_1(E,C) & m1_subset_1(D,B))) <-> r2_hidden(A,a_2_0_funct_6(B,C))))) # label(fraenkel_a_2_0_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5436 (all A (v1_funct_1(A) & v1_relat_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].
11.91/11.57	5437 (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(k6_funct_6(k9_finseq_1(A))) = k1_relat_1(A))) # label(t61_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5438 (all A (v1_funct_1(A) & v1_relat_1(A) -> k3_funct_5(A) = k5_funct_5(k2_funct_4(A)) & k2_funct_4(k6_funct_5(A)) = k4_funct_5(A))) # label(t13_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5439 (all A all B all C k2_funct_4(k2_funcop_1(k2_zfmisc_1(A,B),C)) = k2_funcop_1(k2_zfmisc_1(B,A),C)) # label(t12_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5440 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> k2_funct_6(k10_finseq_1(A,B)) = k10_finseq_1(k1_relat_1(A),k1_relat_1(B)) & k3_funct_6(k10_finseq_1(A,B)) = k10_finseq_1(k2_relat_1(A),k2_relat_1(B)))))) # label(t34_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5441 (all A all B all C all D ((exists E exists F exists G (r2_hidden(F,C) & r2_hidden(G,D) & k11_finseq_1(E,F,G) = A & 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].
11.91/11.57	5442 (all A (v1_relat_1(A) & v1_funct_1(A) -> v1_relat_1(k6_funct_6(A)) & v1_funct_1(k6_funct_6(A)))) # label(dt_k6_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5443 (all A all B (v1_funct_1(B) & v1_relat_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].
11.91/11.57	5444 (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,k1_relat_1(B)) & r2_hidden(A,k1_relat_1(C)) -> (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].
11.91/11.57	5445 (all A all B all C ((exists D exists E (r2_hidden(D,B) & r2_hidden(E,C) & k10_finseq_1(D,E) = A)) <-> r2_hidden(A,k4_card_3(k10_finseq_1(B,C))))) # label(t2_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5446 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> -((all C all D A != k4_tarski(C,D)) & r2_hidden(A,k1_relat_1(k2_funct_4(B)))))) # label(t11_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5447 (all A all B (k3_xboole_0(A,B) = k4_funct_6(k10_finseq_1(A,B)) & k3_card_3(k10_finseq_1(A,B)) = k2_xboole_0(A,B))) # label(t40_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5448 (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)) -> k2_zfmisc_1(A,B) = k1_xboole_0 | 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)))))) # label(t19_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5449 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_relat_1(k10_funct_6(A)) & v1_funcop_1(k10_funct_6(A)) & v1_funct_1(k10_funct_6(A)))) # label(dt_k10_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5450 (all A (v1_relat_1(A) & v1_funct_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].
11.91/11.57	5451 (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),A) & r1_tarski(k2_relat_1(F),k4_partfun1(D,E)) -> r2_hidden(F,k4_partfun1(A,k4_partfun1(B,C))) | -r2_hidden(k6_funct_5(F),k4_partfun1(k2_zfmisc_1(B,A),C)) & -r2_hidden(k4_funct_5(F),k4_partfun1(k2_zfmisc_1(A,B),C))))) # label(t26_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5452 (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(B) = k1_relat_1(A) & v2_funct_1(B) & (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))))) & k2_relat_1(B) = k1_relat_1(C) -> r2_wellord2(k4_card_3(A),k4_card_3(C))))))))) # label(t70_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5453 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_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))) -> k10_finseq_1(k1_funct_1(A,C),k1_funct_1(B,C)) = k1_funct_1(k6_funct_6(k10_finseq_1(A,B)),C))))))) # label(t62_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5454 (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) -> k2_funct_6(k11_finseq_1(A,B,C)) = k11_finseq_1(k1_relat_1(A),k1_relat_1(B),k1_relat_1(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].
11.91/11.57	5455 (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_enumset1(A,B,C) = k1_funct_6(k1_enumset1(A,B,C)) & k1_funct_6(k2_tarski(A,B)) = k2_tarski(A,B) & k1_tarski(A) = k1_funct_6(k1_tarski(A)) & k1_funct_6(k1_xboole_0) = k1_xboole_0)))))) # label(t29_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5456 $T # label(dt_k5_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5457 (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].
11.91/11.57	5458 (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].
11.91/11.57	5459 (all A all B all C all D (v1_relat_1(D) & v1_funct_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].
11.91/11.57	5460 $T # label(dt_k1_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5461 (all A all B all C (k4_funct_6(k11_finseq_1(A,B,C)) = k3_xboole_0(k3_xboole_0(A,B),C) & k3_card_3(k11_finseq_1(A,B,C)) = k2_xboole_0(k2_xboole_0(A,B),C))) # label(t41_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	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 (v1_funct_1(D) & v1_relat_1(D) -> (all E (v1_relat_1(E) & v1_funct_1(E) -> (r2_hidden(A,k1_relat_1(B)) & r2_hidden(D,k4_card_3(k2_funct_6(B))) & k1_funct_1(k7_funct_6(B),D) = E & k1_funct_1(B,A) = C -> r2_hidden(E,k4_card_3(k3_funct_6(B))) & k1_funct_1(E,A) = k1_funct_1(C,k1_funct_1(D,A)) & r2_hidden(k1_funct_1(D,A),k1_relat_1(C))))))))))) # label(t57_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5463 (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].
11.91/11.57	5464 (all A all B (v1_funct_1(B) & v1_relat_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].
11.91/11.57	5465 (all A r1_tarski(k1_funct_6(A),A)) # label(t27_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5466 $T # label(dt_k4_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5467 (all A (v1_relat_1(A) & v1_funct_1(A) -> k4_card_3(k3_funct_6(A)) = k2_relat_1(k7_funct_6(A)))) # label(t58_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5468 (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),k2_zfmisc_1(D,E)) -> -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))) | r2_hidden(F,k1_funct_2(k2_zfmisc_1(A,B),C))))) # label(t21_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5469 (all A (v1_relat_1(A) & v1_funct_1(A) -> k9_funct_6(k1_xboole_0,A) = k2_funcop_1(k1_relat_1(A),k1_tarski(k1_xboole_0)))) # label(t78_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5470 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (k1_xboole_0 != A -> k2_relat_1(B) = k2_relat_1(k6_funct_5(k2_funcop_1(A,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].
11.91/11.57	5471 $T # label(d11_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5472 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_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_5(k1_funct_1(A,C)) = k1_funct_1(B,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].
11.91/11.57	5473 (all A all B (v1_funct_1(A) & v1_relat_1(A) -> v1_relat_1(k8_funct_6(A,B)) & v1_funct_1(k8_funct_6(A,B)))) # label(dt_k8_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5474 (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].
11.91/11.57	5475 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> k2_relat_1(k7_funct_6(k2_funcop_1(A,B))) = k1_funct_2(A,k2_relat_1(B)) & (all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(C,k1_funct_2(A,k1_relat_1(B))) -> k1_funct_1(k7_funct_6(k2_funcop_1(A,B)),C) = k5_relat_1(C,B)))) & k1_relat_1(k7_funct_6(k2_funcop_1(A,B))) = k1_funct_2(A,k1_relat_1(B)))) # label(t66_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5476 (all A all B all C all D (v1_relat_1(D) & v1_funct_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].
11.91/11.57	5477 (all A (v1_funct_1(A) & v1_relat_1(A) -> k4_funct_6(A) = k1_setfam_1(k2_relat_1(A)))) # label(d4_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5478 (all A all B all C k9_funct_6(A,k2_funcop_1(B,C)) = k2_funcop_1(B,k1_funct_2(A,C))) # label(t82_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5479 (all A (v1_relat_1(A) & v1_funcop_1(A) & v1_funct_1(A) -> k1_relat_1(A) = k1_relat_1(k3_funct_6(A)))) # label(t90_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5480 (all A (v1_relat_1(A) & v1_funct_1(A) -> (-r2_hidden(k1_xboole_0,k2_relat_1(A)) -> (v2_funct_1(k7_funct_6(A)) <-> (all B (v1_funct_1(B) & v1_relat_1(B) -> (r2_hidden(B,k2_relat_1(A)) -> v2_funct_1(B)))))))) # label(t59_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5481 (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].
11.91/11.57	5482 (all A (v1_funct_1(A) & v1_relat_1(A) -> k10_funct_6(A) = k5_funct_5(k4_funct_5(A)))) # label(d12_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5483 (all A all B all C (v1_funct_1(C) & v1_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)) & r2_hidden(A,k1_relat_1(C)) -> 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].
11.91/11.57	5484 (all A all B (v1_relat_1(B) & v1_funct_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].
11.91/11.57	5485 (all A all B all C (k2_zfmisc_1(A,B) != k1_xboole_0 -> k2_funcop_1(A,k2_funcop_1(B,C)) = k3_funct_5(k2_funcop_1(k2_zfmisc_1(A,B),C)) & k2_funcop_1(B,k2_funcop_1(A,C)) = k5_funct_5(k2_funcop_1(k2_zfmisc_1(A,B),C)))) # label(t14_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5486 (all 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(B)) -> k1_funct_2(A,k1_funct_1(B,D)) = k1_funct_1(C,D))) & k1_relat_1(C) = k1_relat_1(B) <-> k9_funct_6(A,B) = C))))) # label(d9_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5487 (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,A) -> r2_wellord2(k1_funct_1(B,D),k1_funct_1(C,D)))) & k1_relat_1(C) = A & 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].
11.91/11.57	5488 (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_relat_1(D) & v1_funct_1(D) -> (r2_hidden(A,k1_relat_1(B)) -> k1_funct_1(B,A) = k5_funct_6(k10_finseq_1(C,B),np__2,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].
11.91/11.57	5489 (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].
11.91/11.57	5490 (all A all B ((exists C (r2_hidden(C,B) & A = k9_finseq_1(C))) <-> r2_hidden(A,k4_card_3(k9_finseq_1(B))))) # label(t1_funct_6) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5491 $T # label(t17_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5492 (all A (v1_relat_1(A) -> r1_tarski(k6_relat_1(k1_relat_1(k1_sysrel(A))),k6_relat_1(k1_relat_1(A))) & r1_tarski(k6_relat_1(k2_relat_1(k1_sysrel(A))),k6_relat_1(k1_relat_1(A))))) # label(t52_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5493 $T # label(t11_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5494 (all A (v1_relat_1(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)))) & (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))))) = k1_xboole_0 -> 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))) = k7_relat_1(A,k1_relat_1(k1_sysrel(A)))))) # label(t55_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5495 (all A all B all C (v1_relat_1(C) -> (r1_tarski(C,k2_zfmisc_1(A,B)) -> r1_tarski(k2_relat_1(C),B) & r1_tarski(k1_relat_1(C),A)))) # label(t15_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5496 (all A k6_relat_1(k1_tarski(A)) = k1_tarski(k4_tarski(A,A))) # label(t30_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5497 (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].
11.91/11.57	5498 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (k1_xboole_0 = k5_relat_1(k4_xboole_0(A,k6_relat_1(k1_relat_1(A))),A) & B = k5_relat_1(A,B) & k1_xboole_0 = k5_relat_1(k4_xboole_0(B,k6_relat_1(k1_relat_1(B))),B) & A = k5_relat_1(B,A) -> k1_sysrel(A) = k1_sysrel(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 & k5_relat_1(B,A) = B & k5_relat_1(A,k4_xboole_0(A,k6_relat_1(k1_relat_1(A)))) = k1_xboole_0 -> k1_sysrel(B) = k1_sysrel(A)))))) # label(t59_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5499 (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].
11.91/11.57	5500 (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)) -> k2_xboole_0(k7_relat_1(E,C),k7_relat_1(E,D)) = E))) # label(t25_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5501 (all A all B all C (v1_relat_1(C) -> (r1_xboole_0(A,B) & r1_tarski(C,k2_xboole_0(k2_zfmisc_1(A,B),k2_zfmisc_1(B,A))) -> r1_tarski(k7_relat_1(C,A),k2_zfmisc_1(A,B))))) # label(t26_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5502 (all A (v1_relat_1(A) -> (k1_xboole_0 = k5_relat_1(A,k4_xboole_0(A,k6_relat_1(k1_relat_1(A)))) -> 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))))) = k1_xboole_0) & (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))) # label(t56_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.57	5503 (all A (v1_relat_1(A) -> v1_relat_1(k1_sysrel(A)))) # label(dt_k1_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5504 (all A all B (v1_relat_1(B) -> (r2_hidden(A,k1_relat_1(k1_sysrel(B))) -> r2_hidden(k4_tarski(A,A),B) & r2_hidden(A,k1_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,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(A,k2_relat_1(B)) & r2_hidden(k4_tarski(A,A),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(k1_sysrel(B))) -> r2_hidden(A,k2_relat_1(B)) & r2_hidden(k4_tarski(A,A),B)) & (r2_hidden(k4_tarski(A,A),B) & r2_hidden(A,k2_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) -> r2_hidden(A,k1_relat_1(k1_sysrel(B)))))) # label(t46_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5505 (all A (v1_relat_1(A) -> (r1_tarski(A,k5_relat_1(A,A)) & k5_relat_1(k4_xboole_0(A,k6_relat_1(k1_relat_1(A))),A) = k1_xboole_0 -> k6_relat_1(k1_relat_1(A)) = k3_xboole_0(A,k6_relat_1(k1_relat_1(A)))) & (r1_tarski(A,k5_relat_1(A,A)) & k5_relat_1(A,k4_xboole_0(A,k6_relat_1(k2_relat_1(A)))) = k1_xboole_0 -> k6_relat_1(k2_relat_1(A)) = k3_xboole_0(A,k6_relat_1(k2_relat_1(A)))))) # label(t41_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5506 (all A all B (v1_relat_1(B) -> (k5_relat_1(k6_relat_1(A),k4_xboole_0(B,k6_relat_1(A))) = k1_xboole_0 -> k4_xboole_0(k1_relat_1(B),k1_relat_1(k6_relat_1(A))) = k1_relat_1(k4_xboole_0(B,k6_relat_1(A)))) & (k5_relat_1(k4_xboole_0(B,k6_relat_1(A)),k6_relat_1(A)) = k1_xboole_0 -> k4_xboole_0(k2_relat_1(B),k2_relat_1(k6_relat_1(A))) = k2_relat_1(k4_xboole_0(B,k6_relat_1(A)))))) # label(t39_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5507 (all A all B k1_xboole_0 = k4_xboole_0(k6_relat_1(k4_xboole_0(A,B)),k6_relat_1(A))) # label(t34_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5508 (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),B) & r1_tarski(k6_relat_1(A),k4_relat_1(B))))) # label(t36_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5509 (all A all B all C (v1_relat_1(C) -> (r2_hidden(k4_tarski(A,B),C) & k5_relat_1(C,k4_xboole_0(C,k1_sysrel(C))) = k1_xboole_0 & k5_relat_1(C,C) = C -> A = B | 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))))) & (k1_xboole_0 = k5_relat_1(k4_xboole_0(C,k1_sysrel(C)),C) & r2_hidden(k4_tarski(A,B),C) & k5_relat_1(C,C) = 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))) | B = A))) # label(t48_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5510 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (k1_xboole_0 = k5_relat_1(k4_xboole_0(B,k6_relat_1(k1_relat_1(B))),B) & A = k5_relat_1(B,A) -> r1_tarski(k1_sysrel(A),k1_sysrel(B))) & (k5_relat_1(B,k4_xboole_0(B,k6_relat_1(k1_relat_1(B)))) = k1_xboole_0 & A = k5_relat_1(A,B) -> r1_tarski(k1_sysrel(A),k1_sysrel(B))))))) # label(t58_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5511 (all A all B (v1_relat_1(B) -> (r1_tarski(B,k2_zfmisc_1(A,A)) -> k4_xboole_0(B,k6_relat_1(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(k2_relat_1(B)))))) # label(t38_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5512 $T # label(t8_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5513 (all A (v1_relat_1(A) -> r1_tarski(k1_relat_1(k1_sysrel(A)),k2_relat_1(A)) & r1_tarski(k2_relat_1(k1_sysrel(A)),k1_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].
11.91/11.58	5514 (all A all B all C (v1_relat_1(C) -> (k1_xboole_0 = k5_relat_1(k4_xboole_0(C,k6_relat_1(k1_relat_1(C))),C) & r2_hidden(k4_tarski(A,B),C) & C = k5_relat_1(C,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))) | B = A) & (k5_relat_1(C,C) = C & k1_xboole_0 = k5_relat_1(C,k4_xboole_0(C,k6_relat_1(k1_relat_1(C)))) & r2_hidden(k4_tarski(A,B),C) -> 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)))) | A = B))) # label(t49_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5515 (all A all B (v1_relat_1(B) -> (r1_tarski(k6_relat_1(A),B) & k1_xboole_0 = k5_relat_1(k6_relat_1(A),k4_xboole_0(B,k6_relat_1(A))) -> k6_relat_1(A) = k7_relat_1(B,A)) & (r1_tarski(k6_relat_1(A),B) & k1_xboole_0 = k5_relat_1(k4_xboole_0(B,k6_relat_1(A)),k6_relat_1(A)) -> k6_relat_1(A) = k8_relat_1(A,B)))) # label(t54_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5516 (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].
11.91/11.58	5517 (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].
11.91/11.58	5518 $T # label(t21_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5519 (all A all B all C (v1_relat_1(C) -> r1_tarski(k1_relat_1(k3_xboole_0(C,k2_zfmisc_1(A,B))),A) & r1_tarski(k2_relat_1(k3_xboole_0(C,k2_zfmisc_1(A,B))),B))) # label(t13_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5520 (all A (v1_relat_1(A) -> (r1_tarski(A,k6_relat_1(k1_relat_1(A))) -> A = k6_relat_1(k1_relat_1(A))))) # label(t35_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5521 $T # label(t19_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5522 (all A (v1_relat_1(A) -> k2_relat_1(k1_sysrel(A)) = k1_relat_1(k1_sysrel(A)))) # label(t45_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5523 (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].
11.91/11.58	5524 $T # label(t7_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5525 (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].
11.91/11.58	5526 (all A (v1_relat_1(A) -> (r1_tarski(A,k5_relat_1(A,A)) & k5_relat_1(A,k4_xboole_0(A,k6_relat_1(k2_relat_1(A)))) = k1_xboole_0 -> r1_tarski(k6_relat_1(k2_relat_1(A)),A)) & (r1_tarski(A,k5_relat_1(A,A)) & k5_relat_1(k4_xboole_0(A,k6_relat_1(k1_relat_1(A))),A) = k1_xboole_0 -> r1_tarski(k6_relat_1(k1_relat_1(A)),A)))) # label(t40_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5527 $T # label(t3_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5528 $T # label(t23_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5529 $T # label(t6_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5530 (all A all B (v1_relat_1(B) -> (k5_relat_1(B,k4_xboole_0(B,k6_relat_1(A))) = k1_xboole_0 & 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) & (r1_tarski(k1_relat_1(B),A) & k1_xboole_0 = k5_relat_1(k4_xboole_0(B,k6_relat_1(A)),B) -> 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].
11.91/11.58	5531 (all A all B v1_relat_1(k2_zfmisc_1(A,B))) # label(fc1_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5532 (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)) & k5_relat_1(k2_xboole_0(A,B),C) = k2_xboole_0(k5_relat_1(A,C),k5_relat_1(B,C)))))))) # label(t20_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5533 $T # label(t2_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5534 (all A all B -(k1_xboole_0 != A & B != k1_xboole_0 & -(k1_relat_1(k2_zfmisc_1(A,B)) = A & B = k2_relat_1(k2_zfmisc_1(A,B))))) # label(t12_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	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(k4_tarski(C,D),E) & r2_hidden(D,A) -> -r2_hidden(C,A) & r2_hidden(C,B) & -r2_hidden(D,B)) & (r1_xboole_0(A,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) -> -r2_hidden(C,A) & -r2_hidden(D,B) & r2_hidden(D,A)) & (r1_xboole_0(A,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))) -> r2_hidden(C,A) & -r2_hidden(C,B) & -r2_hidden(D,A)) & (r1_xboole_0(A,B) & r2_hidden(k4_tarski(C,D),E) & r2_hidden(C,A) & r1_tarski(E,k2_xboole_0(k2_zfmisc_1(A,B),k2_zfmisc_1(B,A))) -> -r2_hidden(D,A) & r2_hidden(D,B) & -r2_hidden(C,B)))) # label(t22_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5536 (all A (v1_relat_1(A) -> (k1_xboole_0 = k5_relat_1(k4_xboole_0(A,k6_relat_1(k1_relat_1(A))),A) & k5_relat_1(A,A) = A -> k1_relat_1(A) = k1_relat_1(k1_sysrel(A)) & k1_relat_1(A) = k2_relat_1(k1_sysrel(A))) & (A = k5_relat_1(A,A) & k5_relat_1(A,k4_xboole_0(A,k6_relat_1(k1_relat_1(A)))) = k1_xboole_0 -> k2_relat_1(A) = k1_relat_1(k1_sysrel(A)) & k2_relat_1(A) = k2_relat_1(k1_sysrel(A))))) # label(t50_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5537 $T # label(t10_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5538 $T # label(t5_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5539 (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)) & k2_xboole_0(k6_relat_1(A),k6_relat_1(B)) = k6_relat_1(k2_xboole_0(A,B)))) # label(t32_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5540 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (k5_relat_1(A,B) = A & k5_relat_1(B,k4_xboole_0(B,k6_relat_1(k1_relat_1(B)))) = k1_xboole_0 -> k1_xboole_0 = k5_relat_1(A,k4_xboole_0(B,k6_relat_1(k1_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))))) # label(t57_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5541 (all A (v1_relat_1(A) -> r1_tarski(k1_sysrel(A),A) & r1_tarski(k1_sysrel(A),k6_relat_1(k1_relat_1(A))))) # label(t43_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5542 $T # label(t1_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5543 (all A k5_relat_1(k6_relat_1(A),k6_relat_1(A)) = k6_relat_1(A)) # label(t29_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5544 $T # label(t9_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	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)) -> k3_xboole_0(D,k2_zfmisc_1(A,C)) = k8_relat_1(C,D)) & (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].
11.91/11.58	5546 (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].
11.91/11.58	5547 (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].
11.91/11.58	5548 (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].
11.91/11.58	5549 $T # label(t4_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5550 $T # label(t28_sysrel) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5551 (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].
11.91/11.58	5552 (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].
11.91/11.58	5553 (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].
11.91/11.58	5554 (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].
11.91/11.58	5555 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> r1_tarski(k2_card_2(k3_card_1(np__0),k1_card_1(A)),k3_card_1(np__0)) & r1_tarski(k2_card_2(k1_card_1(A),k3_card_1(np__0)),k3_card_1(np__0)))) # label(t67_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5556 (all A (v3_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)))))) <-> v4_ordinal1(A)))) # label(t27_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5557 (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].
11.91/11.58	5558 (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].
11.91/11.58	5559 (all A all B (v1_finset_1(B) -> v1_finset_1(A) | r2_wellord2(k2_zfmisc_1(A,B),A) & k1_card_1(A) = k1_card_1(k2_zfmisc_1(A,B)) | k1_xboole_0 = B)) # label(t81_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5560 (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(k4_xboole_0(A,B)) = k1_card_1(A))) # label(t76_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5561 (all A all B (v1_card_4(A) & v1_card_4(B) -> v1_card_4(k2_xboole_0(A,B)))) # label(t47_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5562 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (v1_finset_1(A) -> v1_finset_1(B) | -r2_hidden(B,A) & -r1_tarski(B,A)))))) # label(t26_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5563 (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(C,D) & r2_hidden(A,B)) & -(r2_hidden(C,D) & r1_tarski(A,B)) & -(r1_tarski(C,D) & r1_tarski(A,B)) & -(r2_hidden(A,B) & r1_tarski(C,D))) -> r1_tarski(k2_card_2(A,C),k2_card_2(B,D)) & r1_tarski(k2_card_2(C,A),k2_card_2(B,D))))))))))) # label(t68_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5564 $T # label(t16_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5565 (all A (v1_card_1(A) -> (-v1_finset_1(A) -> A = k2_card_2(A,A)))) # label(t77_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5566 $T # label(t12_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5567 (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].
11.91/11.58	5568 (all A (v3_ordinal1(A) -> (exists B (m2_subset_1(B,k1_numbers,k5_numbers) & k14_ordinal2(A,B) = k15_ordinal2(A,k1_ordinal1(k4_ordinal2)))))) # label(t29_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5569 (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].
11.91/11.58	5570 $T # label(t10_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5571 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> -(-v1_finset_1(A) & (r1_tarski(B,A) | r2_hidden(B,A)) & -(A = k1_card_2(A,B) & k1_card_2(B,A) = A)))))) # label(t34_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5572 (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].
11.91/11.58	5573 (all A (A = k1_xboole_0 <-> k1_card_1(A) = np__0)) # label(t17_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5574 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (B = A <-> k2_card_1(B) = k2_card_1(A)))))) # label(t21_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5575 (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].
11.91/11.58	5576 (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].
11.91/11.58	5577 (all A all B (v1_finset_1(A) -> A = k1_xboole_0 | k1_card_1(B) = k2_card_2(k1_card_1(B),k1_card_1(A)) | v1_finset_1(B))) # label(t85_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5578 (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].
11.91/11.58	5579 (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(C,A),k1_card_2(B,D)) & r2_hidden(k1_card_2(A,C),k1_card_2(B,D))))))))))) # label(t74_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5580 (all A (v1_finset_1(A) <-> (exists B (m2_subset_1(B,k1_numbers,k5_numbers) & k1_card_1(A) = k1_card_1(B))))) # label(t4_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5581 (all A all B -(-(r2_wellord2(k2_xboole_0(A,B),A) & k1_card_1(k2_xboole_0(A,B)) = k1_card_1(A)) & (r2_hidden(k1_card_1(B),k1_card_1(A)) | r1_tarski(k1_card_1(B),k1_card_1(A))) & -v1_finset_1(A))) # label(t37_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5582 (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].
11.91/11.58	5583 (all A (v1_card_4(A) & (all B (r2_hidden(B,A) -> v1_card_4(B))) -> v1_card_4(k3_tarski(A)))) # label(t62_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5584 (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].
11.91/11.58	5585 (all A (r2_hidden(k1_card_1(A),k3_card_1(np__0)) <-> v1_finset_1(A))) # label(t2_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5586 (all A (v3_ordinal1(A) -> (r2_hidden(A,k5_ordinal2) <-> v1_finset_1(A)))) # label(t7_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5587 (all A ((exists B exists C (f1_s2_card_4(B,C) = A & p1_s2_card_4(B,C) & m2_subset_1(C,k1_numbers,k5_numbers) & m2_subset_1(B,k1_numbers,k5_numbers))) <-> r2_hidden(A,a_0_1_card_4))) # label(fraenkel_a_0_1_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5588 (all A (v3_ordinal1(A) -> (v4_ordinal1(A) -> A = k15_ordinal2(A,k1_ordinal1(k4_ordinal2))))) # label(t30_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5589 (all A all B (v1_card_1(B) -> (all C (v1_card_1(C) -> ((all D (r2_hidden(D,A) -> r1_tarski(k1_card_1(D),C))) & r1_tarski(k1_card_1(A),B) -> r1_tarski(k1_card_1(k3_tarski(A)),k2_card_2(B,C))))))) # label(t60_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5590 $T # label(t18_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5591 (all A (v1_card_1(A) -> (-v1_finset_1(A) -> v4_ordinal1(A)))) # label(t32_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5592 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (all C (v1_card_1(C) -> -(C != np__0 & -(r1_tarski(k3_card_2(A,C),k3_card_2(B,C)) & r1_tarski(k3_card_2(C,A),k3_card_2(C,B))) & (r1_tarski(A,B) | r2_hidden(A,B))))))))) # label(t71_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5593 (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].
11.91/11.58	5594 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> -(-v1_finset_1(A) & -(r1_tarski(k2_card_2(A,B),A) & r1_tarski(k2_card_2(B,A),A)) & (r2_hidden(B,A) | r1_tarski(B,A))))))) # label(t79_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5595 (all A (v1_funct_1(A) & v1_relat_1(A) -> ((all B (r2_hidden(B,k1_relat_1(A)) -> v1_finset_1(k1_funct_1(A,B)))) & v1_finset_1(k1_relat_1(A)) -> v1_finset_1(k3_card_3(A))))) # label(t63_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5596 (all A all B (r1_tarski(A,B) & v1_card_4(B) -> v1_card_4(A))) # label(t46_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5597 (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].
11.91/11.58	5598 (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,C),k1_nat_1(k2_nat_1(np__2,D),np__1)) = k2_nat_1(k1_card_4(np__2,A),k1_nat_1(k2_nat_1(np__2,B),np__1)) -> B = D & C = A))))))))) # label(t52_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5599 (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) -> 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].
11.91/11.58	5600 (all A ((exists B (v1_relat_1(B) & v1_funct_1(B) & r1_tarski(A,k2_relat_1(B)) & k1_relat_1(B) = k5_numbers)) <-> v1_card_4(A))) # label(t45_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5601 (all A (-v1_xboole_0(A) -> k1_card_1(A) = k1_card_1(k4_finseq_2(np__1,A)) & r2_wellord2(k4_finseq_2(np__1,A),A))) # label(t56_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5602 (all A all B (k1_card_1(A) = k1_card_1(B) <-> k2_card_1(A) = k2_card_1(B))) # label(t20_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5603 (all A (v1_finset_1(A) -> v1_card_4(A))) # label(t43_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5604 (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].
11.91/11.58	5605 (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].
11.91/11.58	5606 (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].
11.91/11.58	5607 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v3_ordinal1(B) -> k14_ordinal2(k1_ordinal1(B),A) = k14_ordinal2(B,k1_nat_1(A,np__1)) & k14_ordinal2(k1_ordinal1(B),A) = k14_ordinal2(B,k1_ordinal1(A)))))) # label(t28_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5608 (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].
11.91/11.58	5609 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (all C (v1_relat_1(C) & v1_funct_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].
11.91/11.58	5610 (all A all B -(-v1_finset_1(A) & -(r2_wellord2(k2_xboole_0(A,B),A) & k1_card_1(A) = k1_card_1(k2_xboole_0(A,B))) & (r2_wellord2(A,B) | r2_wellord2(B,A)))) # label(t35_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5611 (all A (-v1_xboole_0(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> -(-v1_finset_1(A) & np__0 != B & -(r2_wellord2(k4_finseq_2(B,A),A) & k1_card_1(k4_finseq_2(B,A)) = k1_card_1(A))))))) # label(t86_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5612 (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) -> r1_tarski(k2_card_2(C,A),k2_card_2(C,B)) & r1_tarski(k2_card_2(A,C),k2_card_2(C,B)) & r1_tarski(k2_card_2(A,C),k2_card_2(B,C)) & r1_tarski(k2_card_2(C,A),k2_card_2(B,C))))))))) # label(t69_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5613 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (r2_hidden(A,k2_card_1(B)) <-> r1_tarski(A,B)))))) # label(t23_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5614 $T # label(t64_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5615 (all A (v1_card_1(A) -> r1_tarski(np__0,A))) # label(t19_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5616 (all A ((exists B exists C exists D (m2_subset_1(B,k1_numbers,k5_numbers) & m2_subset_1(C,k1_numbers,k5_numbers) & p1_s3_card_4(B,C,D) & A = f1_s3_card_4(B,C,D) & m2_subset_1(D,k1_numbers,k5_numbers))) <-> r2_hidden(A,a_0_2_card_4))) # label(fraenkel_a_0_2_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5617 (all A (v1_card_1(A) & v1_finset_1(A) -> (all B (v1_finset_1(B) & v1_card_1(B) -> v1_finset_1(k1_card_2(A,B)))))) # label(t38_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5618 (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].
11.91/11.58	5619 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (all C (v1_card_1(C) -> (all D (v1_card_1(D) -> -(np__0 != A & -r1_tarski(k3_card_2(A,C),k3_card_2(B,D)) & -(-(r2_hidden(C,D) & r2_hidden(A,B)) & -(r2_hidden(C,D) & r1_tarski(A,B)) & -(r1_tarski(C,D) & r1_tarski(A,B)) & -(r1_tarski(C,D) & r2_hidden(A,B)))))))))))) # label(t70_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5620 (all A (-v1_finset_1(A) -> r2_wellord2(k2_zfmisc_1(A,A),A) & k1_card_1(A) = k1_card_1(k2_zfmisc_1(A,A)))) # label(t80_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5621 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (v1_finset_1(A) -> r2_hidden(A,B) & r1_tarski(A,B) | v1_finset_1(B)))))) # label(t13_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5622 (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].
11.91/11.58	5623 (all A (-((all B -(r1_tarski(B,A) & k3_card_1(np__0) = k1_card_1(B))) & -v1_finset_1(A)) & -((exists B (k3_card_1(np__0) = k1_card_1(B) & r1_tarski(B,A))) & v1_finset_1(A)))) # label(t14_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5624 (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].
11.91/11.58	5625 (all A ((exists B (f1_s1_card_4(B) = A & p1_s1_card_4(B) & m2_subset_1(B,k1_numbers,k5_numbers))) <-> r2_hidden(A,a_0_0_card_4))) # label(fraenkel_a_0_0_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5626 (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(C,D) & r2_hidden(A,B) -> r2_hidden(k2_card_2(C,A),k2_card_2(B,D)) & r2_hidden(k2_card_2(A,C),k2_card_2(B,D))))))))))) # label(t82_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5627 (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) & r1_tarski(A,B)) & -(r1_tarski(C,D) & r2_hidden(A,B)) & -(r1_tarski(A,B) & r2_hidden(C,D)) & -(r2_hidden(C,D) & r2_hidden(A,B))) -> r1_tarski(k1_card_2(A,C),k1_card_2(B,D)) & r1_tarski(k1_card_2(C,A),k1_card_2(B,D))))))))))) # label(t41_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5628 (all A (v1_relat_1(A) & v1_funct_1(A) -> ((all B (r2_hidden(B,k1_relat_1(A)) -> v1_card_4(k1_funct_1(A,B)))) & v1_card_4(k1_relat_1(A)) -> v1_card_4(k3_card_3(A))))) # label(t61_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5629 (all A (v1_finset_1(k1_card_1(A)) <-> v1_finset_1(A))) # label(t1_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5630 (all A all B (v1_card_4(B) & v1_card_4(A) -> v1_card_4(k2_zfmisc_1(A,B)))) # label(t55_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5631 (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].
11.91/11.58	5632 (all A (v1_card_1(A) -> (-v1_finset_1(A) -> A = k1_card_2(A,A)))) # label(t33_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5633 (all A (v3_ordinal1(A) -> (-v1_finset_1(A) <-> r1_ordinal1(k5_ordinal2,A)))) # label(t8_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5634 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (r2_hidden(np__0,B) -> v1_finset_1(A) | -r2_hidden(B,A) & -r1_tarski(B,A) | k2_card_2(A,B) = A & A = k2_card_2(B,A)))))) # label(t78_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5635 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (np__0 != A -> 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].
11.91/11.58	5636 (all A (v3_ordinal1(A) -> A = k4_xboole_0(k1_ordinal1(A),k1_tarski(A)))) # label(t5_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5637 (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].
11.91/11.58	5638 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m1_subset_1(B,k1_numbers) -> -(np__0 != A & B = np__0 & np__0 != k3_newton(B,A)) & -(np__0 = k3_newton(B,A) & -(A != np__0 & B = np__0)))))) # label(t51_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5639 (all A all B (v1_card_4(A) -> v1_card_4(k3_xboole_0(A,B)) & v1_card_4(k3_xboole_0(B,A)))) # label(t48_card_4) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5640 (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].
11.91/11.58	5641 (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].
11.91/11.58	5642 $T # label(d5_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5643 (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 (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].
11.91/11.58	5644 (all A all B (v3_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v1_relat_2(B) -> r1_tarski(k6_partfun1(A),B))) # label(t50_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5645 $T # label(t24_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5646 (all A all B all C (r2_hidden(B,k3_relat_1(k1_eqrel_1(A))) & r2_hidden(C,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].
11.91/11.58	5647 (all A all B all C (v1_relat_2(B) & m1_subset_1(C,k1_zfmisc_1(A)) & m1_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) -> k2_wellord1(B,C) = k2_toler_1(A,B,C))) # label(redefinition_k2_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5648 (all A all B (v1_relat_2(B) & v3_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) -> r1_tarski(B,k7_relset_1(A,A,A,A,B,B)))) # label(t74_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5649 (all A all B (v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,A,A) & m1_relset_1(B,A,A) -> (exists C (m1_toler_1(C,A,B) & v1_toler_1(C,A,B))))) # label(rc1_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5650 $T # label(t14_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5651 $T # label(t48_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5652 (all A all B (m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) & v1_relat_2(B) -> k3_tarski(k4_toler_1(A,B)) = A)) # label(t66_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5653 $T # label(t23_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5654 $T # label(t62_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5655 (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].
11.91/11.58	5656 (all A v7_relat_2(k1_eqrel_1(A))) # label(t19_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5657 (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 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].
11.91/11.58	5658 (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 -((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].
11.91/11.58	5659 (all A all B all C (v1_relat_2(C) & m2_relset_1(C,A,A) & v1_partfun1(C,A,A) -> (r2_hidden(B,A) <-> r2_hidden(k4_tarski(B,B),C)))) # label(t27_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5660 (all A all B (v1_relat_1(A) -> k1_toler_1(A,B) = k2_wellord1(A,B))) # label(redefinition_k1_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5661 (all A all B (v3_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v1_relat_2(B) -> m1_toler_1(k1_xboole_0,A,B))) # label(t34_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5662 (all A all B all C (v1_partfun1(C,A,A) & m2_relset_1(C,A,A) & v3_relat_2(C) & v1_relat_2(C) -> (all D ((all E (m1_toler_1(E,A,C) & v1_toler_1(E,A,C) & r2_hidden(B,E) <-> r2_hidden(E,D))) -> k6_eqrel_1(A,C,B) = k3_tarski(D))))) # label(t58_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5663 (all A k5_relset_1(A,A,k1_eqrel_1(A)) = A) # label(t13_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5664 $T # label(t10_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5665 (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].
11.91/11.58	5666 $T # label(t22_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5667 $T # label(d2_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5668 $T # label(t12_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5669 (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 (m1_toler_1(C,A,B) -> (v1_toler_1(C,A,B) <-> (all D -(-r2_hidden(D,C) & r2_hidden(D,A) & (all E -(-r2_hidden(k4_tarski(D,E),B) & r2_hidden(E,C)))))))))) # label(d4_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5670 $T # label(t57_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5671 $T # label(dt_m1_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5672 (all A all B (v1_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) -> A = k3_tarski(k3_toler_1(A,B)))) # label(t67_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5673 $T # label(t63_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5674 (all A all B (v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) -> r1_tarski(B,k1_eqrel_1(A)))) # label(t49_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5675 $T # label(t60_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5676 (all A all B all C (v3_relat_2(C) & m2_relset_1(C,B,B) & v1_partfun1(C,B,B) & v1_relat_2(C) -> (m1_toler_1(A,B,C) -> r1_tarski(A,B)))) # label(t43_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	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))) -> k3_tarski(D) = k6_eqrel_1(A,C,B))))) # label(t59_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5678 $T # label(t17_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5679 $T # label(t20_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5680 (all A all B (v1_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) -> (v1_toler_1(k1_xboole_0,A,B) & m1_toler_1(k1_xboole_0,A,B) -> k1_xboole_0 = B))) # label(t38_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5681 $T # label(dt_k4_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5682 (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 (v3_relat_2(C) & m2_relset_1(C,A,A) & v1_partfun1(C,A,A) & 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].
11.91/11.58	5683 $T # label(d1_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5684 (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 -(r2_hidden(k4_tarski(C,D),B) & (all E (m1_toler_1(E,A,B) & v1_toler_1(E,A,B) -> -(r2_hidden(D,E) & r2_hidden(C,E)))))))) # label(t46_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5685 $T # label(t36_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5686 (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(C,A,B) & m1_toler_1(D,A,B) -> m1_toler_1(k3_xboole_0(C,D),A,B))))) # label(t42_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5687 (all A all B (m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) & v1_relat_2(B) -> (v8_relat_2(B) -> (all C (r2_hidden(C,A) -> v1_toler_1(k6_eqrel_1(A,B,C),A,B) & m1_toler_1(k6_eqrel_1(A,B,C),A,B)))))) # label(t69_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5688 $T # label(t61_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5689 (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) -> v1_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) & v3_relat_2(k2_toler_1(A,B,C)))) # label(dt_k2_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5690 $T # label(t55_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5691 $T # label(t56_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5692 $T # label(t26_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5693 (all A all B all C (v1_relat_2(C) & v3_relat_2(C) & v1_partfun1(C,B,B) & m2_relset_1(C,B,B) -> (r1_tarski(A,B) -> m2_relset_1(k1_toler_1(C,A),A,A) & v1_partfun1(k1_toler_1(C,A),A,A) & v3_relat_2(k1_toler_1(C,A)) & v1_relat_2(k1_toler_1(C,A))))) # label(t33_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5694 (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 (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].
11.91/11.58	5695 (all A all B (r2_hidden(A,f1_s1_toler_1) & r2_hidden(B,f1_s1_toler_1) & p1_s1_toler_1(A,B) -> p1_s1_toler_1(B,A))) & (all A (r2_hidden(A,f1_s1_toler_1) -> p1_s1_toler_1(A,A))) -> (exists A (v3_relat_2(A) & v1_partfun1(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)))) & m2_relset_1(A,f1_s1_toler_1,f1_s1_toler_1) & v1_relat_2(A))) # label(s1_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.58	5696 (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 (m2_relset_1(C,k3_tarski(A),k3_tarski(A)) & v1_partfun1(C,k3_tarski(A),k3_tarski(A)) & v3_relat_2(C) & v1_relat_2(C) -> ((all D all E (r2_hidden(k4_tarski(D,E),B) <-> (exists F (r2_hidden(F,A) & r2_hidden(E,F) & r2_hidden(D,F))))) & (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].
11.91/11.58	5697 (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 (m1_toler_1(C,A,B) -> (exists D (r1_tarski(C,D) & m1_toler_1(D,A,B) & v1_toler_1(D,A,B))))))) # label(t45_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5698 $T # label(t11_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5699 $T # label(t35_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5700 $T # label(t44_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5701 $T # label(t18_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5702 (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].
11.91/11.59	5703 (all A all B (v3_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & 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].
11.91/11.59	5704 (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 (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,B) & m1_toler_1(D,A,B) <-> v1_toler_1(D,A,C) & m1_toler_1(D,A,C))) -> B = C))))) # label(t53_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5705 (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 (v1_toler_1(D,A,B) & m1_toler_1(D,A,B) <-> r2_hidden(D,C))) <-> C = k4_toler_1(A,B))))) # label(d7_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5706 $T # label(t30_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5707 (all A all B (v3_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v1_relat_2(B) -> A = k5_relset_1(A,A,B))) # label(t25_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5708 (all A all B (v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) -> r1_relat_2(B,A))) # label(t28_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5709 (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 all E (r2_hidden(D,C) & r2_hidden(E,C) -> r2_hidden(k4_tarski(D,E),B))) <-> m1_toler_1(C,A,B))))) # label(d3_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5710 (all A exists B (v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,k3_tarski(A),k3_tarski(A)) & (all C (r2_hidden(C,A) -> m1_toler_1(C,k3_tarski(A),B))) & m2_relset_1(B,k3_tarski(A),k3_tarski(A)))) # label(t51_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5711 (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 (r2_hidden(C,A) -> m1_toler_1(k1_tarski(C),A,B))))) # label(t41_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5712 (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 (v1_relat_2(C) & v3_relat_2(C) & v1_partfun1(C,A,A) & m2_relset_1(C,A,A) -> (r1_tarski(k3_toler_1(A,B),k3_toler_1(A,C)) <-> r1_tarski(B,C)))))) # label(t71_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5713 (all A all B 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,k6_eqrel_1(A,C,B)) <-> r2_hidden(k4_tarski(B,D),C))))) # label(t54_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5714 (all A v6_relat_2(k1_eqrel_1(A))) # label(t21_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	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 ((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].
11.91/11.59	5716 (all A all B (v1_relat_2(B) & m1_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) -> (exists C m1_toler_1(C,A,B)))) # label(existence_m1_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5717 $T # label(t31_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5718 (all A all B (v1_relat_2(B) & v3_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) -> r3_relat_2(B,A))) # label(t29_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5719 (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 (m2_relset_1(C,A,A) & v1_partfun1(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].
11.91/11.59	5720 $T # label(t37_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5721 (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 (v1_relat_2(C) & m2_relset_1(C,A,A) & v1_partfun1(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].
11.91/11.59	5722 $T # label(dt_k3_toler_1) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5723 (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 (m2_relset_1(C,k1_relat_1(A),k1_relat_1(A)) & k5_relat_1(C,B) = 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)) & v1_funct_1(C))))))))) # label(t6_rfinseq) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5724 (all A (m2_finseq_1(A,k1_numbers) -> (exists B (r1_rfinseq(A,B) & m2_finseq_1(B,k1_numbers) & v1_rfinseq(B))))) # label(t35_rfinseq) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5725 (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].
11.91/11.59	5726 (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) -> (C = k2_seq_1(k5_numbers,k1_numbers,A,k1_nat_1(D,np__2)) & B = k2_seq_1(k5_numbers,k1_numbers,A,k1_nat_1(D,np__1)) & k1_nat_1(D,np__2) = k3_finseq_1(A) -> k2_rfinseq(A) = 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))))))))))) # label(t24_rfinseq) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5727 (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(C,k4_finseq_1(A)) & r2_hidden(B,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].
11.91/11.59	5728 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_finset_1(B) -> (exists C (v1_funct_1(C) & r1_rfinseq(k7_relat_1(A,B),C) & v1_finseq_1(C) & v1_relat_1(C))))))) # label(t18_rfinseq) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5729 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> ((all C k1_card_1(k10_relat_1(A,k1_tarski(C))) = k1_card_1(k10_relat_1(B,k1_tarski(C)))) <-> r1_rfinseq(A,B)))))) # label(d1_rfinseq) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5730 (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_funct_1(C) & v1_finseq_1(C) -> (r1_rfinseq(A,B) <-> r1_rfinseq(k7_finseq_1(A,C),k7_finseq_1(B,C))))))))) # label(t14_rfinseq) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5731 (all A all B (v1_finset_1(B) & v1_funct_1(A) & v1_relat_1(A) -> v1_funct_1(k7_relat_1(A,B)) & v1_finset_1(k7_relat_1(A,B)) & v1_relat_1(k7_relat_1(A,B)))) # label(fc1_rfinseq) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5732 (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 k4_card_1(k10_relat_1(B,C)) = k4_card_1(k10_relat_1(A,C))) <-> r1_rfinseq(A,B)))))) # label(t13_rfinseq) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5733 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (r1_rfinseq(A,B) -> k1_card_1(k1_relat_1(A)) = k1_card_1(k1_relat_1(B))))))) # label(t7_rfinseq) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5734 (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(A) = k2_relat_1(B)))))) # label(t1_rfinseq) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5735 (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_rfinseq(A,C) & r1_rfinseq(A,B) -> r1_rfinseq(B,C)))))))) # label(t2_rfinseq) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5736 (all A (m2_finseq_1(A,k1_numbers) -> (v1_rfinseq(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(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)))))))) # label(d4_rfinseq) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5737 (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].
11.91/11.59	5738 (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) -> (r1_rfinseq(A,B) <-> (exists C (m2_relset_1(C,k4_finseq_1(B),k4_finseq_1(B)) & A = k5_relat_1(C,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)))))))) # label(t17_rfinseq) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5739 (all A (-v1_xboole_0(A) -> (all B (v1_relat_1(B) & v1_finset_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) & v1_finset_1(C) -> (r1_tarski(k2_relat_1(C),A) & r1_tarski(k2_relat_1(B),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].
11.91/11.59	5740 (all A (v1_rfinseq(A) & m2_finseq_1(A,k1_numbers) -> (all B (m2_finseq_1(B,k1_numbers) & v1_rfinseq(B) -> (r1_rfinseq(A,B) -> B = A))))) # label(t36_rfinseq) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5741 (all A (v1_relat_1(A) & v1_finset_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_finset_1(B) & v1_relat_1(B) -> (r1_rfinseq(A,B) -> k4_card_1(k1_relat_1(B)) = k4_card_1(k1_relat_1(A))))))) # label(t10_rfinseq) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5742 (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].
11.91/11.59	5743 (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_rfinseq(k7_finseq_1(A,B),k7_finseq_1(B,A)))))) # label(t15_rfinseq) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5744 (all A (v1_finset_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_finset_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(t9_rfinseq) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5745 $T # label(t8_rfinseq) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5746 (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) -> (r1_rfinseq(A,B) -> k3_finseq_1(B) = k3_finseq_1(A) & k4_finseq_1(A) = k4_finseq_1(B)))))) # label(t16_rfinseq) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5747 (all A (-v1_xboole_0(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(k2_relat_1(B),A) & r1_tarski(k2_relat_1(C),A) -> (r1_rfinseq(B,C) <-> (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))))))))))))) # label(t5_rfinseq) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5748 (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].
11.91/11.59	5749 (all A (m2_finseq_1(A,k1_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> k1_rfinseq(k1_numbers,k2_rfinseq(A),B) = k2_rfinseq(k1_rfinseq(k1_numbers,A,B)))))) # label(t28_rfinseq) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5750 (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].
11.91/11.59	5751 (all A (m2_finseq_1(A,k1_numbers) -> (k3_finseq_1(A) = np__1 | k3_finseq_1(A) = np__0 -> v1_rfinseq(A)))) # label(t31_rfinseq) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5752 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> ((all C k1_card_1(k10_relat_1(A,C)) = k1_card_1(k10_relat_1(B,C))) <-> r1_rfinseq(A,B)))))) # label(t4_rfinseq) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5753 (all A (m2_finseq_1(A,k1_numbers) -> (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_subset_1(C,k1_numbers) -> (np__0 != B -> 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].
11.91/11.59	5754 (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) & B = k2_seq_1(k5_numbers,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)) = k2_rfinseq(k16_finseq_1(k1_numbers,A,k1_nat_1(C,np__1)))))))))) # label(t23_rfinseq) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5755 (all A (m2_finseq_1(A,k1_numbers) -> (all B (m2_finseq_1(B,k1_numbers) -> ((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)))) & k2_seq_1(k5_numbers,k1_numbers,A,k3_finseq_1(A)) = k2_seq_1(k5_numbers,k1_numbers,B,k3_finseq_1(B)) & k3_finseq_1(B) = k3_finseq_1(A) <-> k2_rfinseq(A) = B))))) # label(d3_rfinseq) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5756 (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 & k1_nat_1(C,np__1) = k3_finseq_1(B) -> B = k7_finseq_1(k16_finseq_1(A,B,C),k9_finseq_1(D)))))))))) # label(t20_rfinseq) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5757 (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 <-> k3_finseq_1(D) = k5_real_1(k3_finseq_1(B),C) & (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))))))) & (-r1_xreal_0(C,k3_finseq_1(B)) -> (D = k6_finseq_1(A) <-> k1_rfinseq(A,B,C) = D)))))))) # label(d2_rfinseq) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5758 (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].
11.91/11.59	5759 $T # label(t12_rfinseq) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5760 (all A (m2_finseq_1(A,k1_numbers) -> (np__0 != k3_finseq_1(A) -> k15_rvsum_1(k2_rfinseq(A)) = k2_seq_1(k5_numbers,k1_numbers,A,np__1)))) # label(t29_rfinseq) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5761 (exists A (m1_finseq_1(A,k1_numbers) & v1_relat_1(A) & v1_rfinseq(A) & v1_finseq_1(A) & v1_finset_1(A) & v1_funct_1(A))) # label(rc1_rfinseq) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5762 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (r1_rfinseq(A,B) <-> (exists C (k1_relat_1(A) = k1_relat_1(C) & v2_funct_1(C) & A = k5_relat_1(C,B) & k2_relat_1(C) = k1_relat_1(B) & v1_funct_1(C) & v1_relat_1(C)))))))) # label(t3_rfinseq) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5763 (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].
11.91/11.59	5764 (all A all B (v1_relat_1(A) & v1_relat_1(B) -> r1_rfinseq(A,A))) # label(reflexivity_r1_rfinseq) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5765 (all A (m1_subset_1(A,k1_numbers) -> (all B (m1_subset_1(B,k1_numbers) -> k2_rfinseq(k2_finseq_4(k1_numbers,A,B)) = k2_finseq_4(k1_numbers,k5_real_1(A,B),B))))) # label(t27_rfinseq) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5766 (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(D,k2_finseq_1(C)) & r2_hidden(C,k4_finseq_1(B)) -> k1_funct_1(B,D) = k1_funct_1(k16_finseq_1(A,B,C),D) & r2_hidden(D,k4_finseq_1(B))))))))))) # label(t19_rfinseq) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5767 (all A all B (v1_relat_1(B) & v1_relat_1(A) -> (r1_rfinseq(A,B) -> r1_rfinseq(B,A)))) # label(symmetry_r1_rfinseq) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5768 (all A (v1_rfinseq(A) & m2_finseq_1(A,k1_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> m2_finseq_1(k1_rfinseq(k1_numbers,A,B),k1_numbers) & v1_rfinseq(k1_rfinseq(k1_numbers,A,B)))))) # label(t34_rfinseq) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5769 (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].
11.91/11.59	5770 (all A (-v2_card_1(A) & v1_card_1(A) -> (all B (v1_card_1(B) -> (k2_card_1(B) = A <-> k7_card_fil(A) = B))))) # label(d17_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5771 (all A (-v1_finset_1(A) & v1_card_1(A) -> (v2_card_1(A) & v1_card_5(A) <-> v4_card_fil(A)))) # label(d13_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5772 (all A (v6_card_fil(A) & v1_card_1(A) & -v1_finset_1(A) -> v1_ordinal1(A) & v2_ordinal1(A) & -v1_finset_1(A) & v4_card_fil(A) & v1_card_5(A) & v2_card_1(A) & v1_card_1(A) & -v1_xboole_0(A) & v3_ordinal1(A))) # label(cc5_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5773 (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 (r2_hidden(k3_subset_1(B,D),C) & D = A & m1_subset_1(D,k1_zfmisc_1(B))))))) # label(fraenkel_a_2_0_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5774 (all A all B (m1_card_fil(B,A) & -v1_xboole_0(A) -> k7_setfam_1(A,B) = k2_card_fil(A,B))) # label(redefinition_k2_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5775 (all A all B all C (-v1_xboole_0(B) & -v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) -> (r2_hidden(A,a_2_1_card_fil(B,C)) <-> (exists D (m1_subset_1(D,k1_zfmisc_1(B)) & k3_subset_1(B,D) = A & r2_hidden(D,C)))))) # label(fraenkel_a_2_1_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5776 (exists A (v3_ordinal1(A) & -v1_xboole_0(A) & -v1_finset_1(A) & -v2_card_1(A) & v1_card_1(A) & v2_ordinal1(A) & v1_ordinal1(A))) # label(rc2_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5777 (all A (-v1_finset_1(A) -> (all B (m1_card_fil(B,A) -> (r1_card_fil(A,k1_card_1(A),B) & v3_card_fil(B,A) -> v1_card_fil(B,A) | v2_card_fil(B,A)))))) # label(t23_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5778 (all A (-v1_xboole_0(A) -> (all B (m2_card_fil(B,A) -> m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & -v1_xboole_0(B))))) # label(dt_m2_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5779 (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].
11.91/11.59	5780 (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].
11.91/11.59	5781 (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].
11.91/11.59	5782 (all A (-v1_xboole_0(A) -> m1_subset_1(k1_tarski(A),k1_zfmisc_1(k1_zfmisc_1(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) & r2_hidden(B,k1_tarski(A)) -> r2_hidden(C,k1_tarski(A))) & (r2_hidden(C,k1_tarski(A)) & r2_hidden(B,k1_tarski(A)) -> r2_hidden(k5_subset_1(A,B,C),k1_tarski(A))))))) & -r2_hidden(k1_xboole_0,k1_tarski(A)) & -v1_xboole_0(k1_tarski(A)))) # label(t2_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5783 (all A (-v1_finset_1(A) & v1_card_1(A) & v4_card_fil(A) -> v2_ordinal1(A) & v3_ordinal1(A) & -v1_xboole_0(A) & v2_card_1(A) & v1_card_5(A) & v1_card_1(A) & -v1_finset_1(A) & v1_ordinal1(A))) # label(cc2_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5784 (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].
11.91/11.59	5785 (all A (-v2_card_1(A) & v1_card_1(A) -> v1_card_1(k7_card_fil(A)))) # label(dt_k7_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5786 (all A (-v1_xboole_0(A) -> k4_card_fil(A) = a_1_0_card_fil(A))) # label(d9_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5787 (all A (v1_card_1(A) & -v1_finset_1(A) -> (v5_card_fil(A) -> v2_card_1(A)))) # label(t27_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5788 (all A (-v1_finset_1(A) -> v2_ordinal1(k1_card_1(A)) & -v1_xboole_0(k1_card_1(A)) & v1_card_1(k1_card_1(A)) & -v1_finset_1(k1_card_1(A)) & v3_ordinal1(k1_card_1(A)) & v1_ordinal1(k1_card_1(A)))) # label(fc1_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5789 (all A (-v1_finset_1(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(C,k2_card_fil(A,B)) <-> r2_hidden(C,B)))))))) # label(t22_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5790 (all A (-v1_xboole_0(A) -> (all B (m1_card_fil(B,A) -> ((exists C (m1_subset_1(C,k1_zfmisc_1(A)) & (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (r2_hidden(D,B) -> r1_tarski(C,D)))) & r2_hidden(C,B))) <-> v2_card_fil(B,A)))))) # label(d6_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5791 (all A (v1_card_1(A) & -v1_finset_1(A) -> (v4_card_fil(A) & r3_card_fil -> v6_card_fil(A)))) # label(t31_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5792 (all A (-v1_finset_1(A) & v1_card_1(A) -> (v7_card_fil(A) <-> (exists B (m1_card_fil(B,A) & -v2_card_fil(B,A) & v3_card_fil(B,A) & r1_card_fil(A,A,B)))))) # label(d16_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5793 (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].
11.91/11.59	5794 (all A (v1_card_1(A) & -v1_finset_1(A) -> (v5_card_fil(A) & v1_card_5(A) <-> v6_card_fil(A)))) # label(d15_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5795 (all A (v1_card_1(A) & -v2_card_1(A) & -v1_finset_1(A) -> (exists 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)) & r4_card_fil(A,B) & v1_funct_1(B))))) # label(t34_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5796 (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].
11.91/11.59	5797 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k4_card_fil(A))) & -v1_xboole_0(B) -> (v6_ordinal1(B) -> m1_card_fil(k3_tarski(B),A)))))) # label(t16_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.59	5798 (all A (-v1_finset_1(A) -> (all B (m1_card_fil(B,A) -> (v1_card_fil(B,A) & v3_card_fil(B,A) -> -v2_card_fil(B,A)))))) # label(cc1_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5799 (all A (-v2_card_1(A) & v1_card_1(A) & -v1_finset_1(A) -> (all 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) -> ((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)))) & (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,A) -> (all D (m1_subset_1(D,k7_card_fil(A)) -> (all E (m1_subset_1(E,k7_card_fil(A)) -> (D != E -> 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,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)))))))))) <-> r4_card_fil(A,B)))))) # label(d18_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5800 (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_0_card_fil(A,B))))) # label(t8_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5801 (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].
11.91/11.60	5802 (all A all B all C all D (-v1_xboole_0(B) & m1_subset_1(D,k1_zfmisc_1(B)) & m1_card_fil(C,B) -> ((exists E (A = E & (exists F (m1_subset_1(F,k1_zfmisc_1(B)) & r2_hidden(F,a_3_1_card_fil(B,C,D)) & r1_tarski(F,E))) & m1_subset_1(E,k1_zfmisc_1(B)))) <-> r2_hidden(A,a_3_0_card_fil(B,C,D))))) # label(fraenkel_a_3_0_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5803 r3_card_fil <-> (all A (v1_card_1(A) & -v1_finset_1(A) -> k3_card_2(np__2,A) = k2_card_1(A))) # label(d12_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5804 (all A (-v1_finset_1(A) & v1_card_1(A) & -v2_card_1(A) -> (all B (m2_card_fil(B,A) -> -(r1_tarski(k6_card_fil(A),B) & (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) -> -(k1_card_1(C) = A & (all D -(r2_hidden(D,B) & r2_hidden(D,C))) & (all D all E (r2_hidden(D,C) & r2_hidden(E,C) -> E = D | r1_xboole_0(D,E)))))) & r2_card_fil(A,A,B)))))) # label(t35_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5805 (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(k1_card_fil(A,C),B) | r2_hidden(C,B))) <-> v3_card_fil(B,A)))))) # label(d7_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5806 (all A all B (v1_card_1(B) -> -(r1_tarski(B,k1_card_1(A)) & (all C -(B = k1_card_1(C) & r1_tarski(C,A)))))) # label(t36_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5807 (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].
11.91/11.60	5808 (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].
11.91/11.60	5809 (all A all B (-v1_finset_1(B) -> ((exists C (m1_subset_1(C,k1_zfmisc_1(B)) & C = A & r2_hidden(k1_card_1(k1_card_fil(B,C)),k1_card_1(B)))) <-> r2_hidden(A,a_1_1_card_fil(B))))) # label(fraenkel_a_1_1_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5810 (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))) & -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)) -> (r1_tarski(C,D) & r2_hidden(C,B) -> r2_hidden(D,B)) & (r2_hidden(C,B) & r2_hidden(D,B) -> r2_hidden(k5_subset_1(A,C,D),B)))))))))) # label(t3_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5811 (all A (-v1_finset_1(A) & v1_card_1(A) -> (v7_card_fil(A) -> v5_card_fil(A)))) # label(t40_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5812 (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].
11.91/11.60	5813 (all A (v1_card_1(A) & -v1_finset_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].
11.91/11.60	5814 (all A (-v1_finset_1(A) & v1_card_1(A) & -v2_card_1(A) -> v3_ordinal1(k7_card_fil(A)) & v1_card_1(k7_card_fil(A)) & -v1_finset_1(k7_card_fil(A)) & -v1_xboole_0(k7_card_fil(A)) & v2_ordinal1(k7_card_fil(A)) & v1_ordinal1(k7_card_fil(A)))) # label(fc4_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5815 (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 (m1_subset_1(E,k1_zfmisc_1(B)) & r2_hidden(E,C) & k5_subset_1(B,E,D) = A)) <-> r2_hidden(A,a_3_1_card_fil(B,C,D))))) # label(fraenkel_a_3_1_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5816 (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].
11.91/11.60	5817 (all A (r2_hidden(A,a_0_0_card_fil) <-> (exists B (m1_subset_1(B,f1_s1_card_fil) & p1_s1_card_fil(B) & B = A)))) # label(fraenkel_a_0_0_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5818 (all A (-v1_finset_1(A) -> k2_card_fil(A,k5_card_fil(A)) = k6_card_fil(A))) # label(d11_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5819 (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].
11.91/11.60	5820 (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].
11.91/11.60	5821 (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(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))))))))))) # label(d1_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5822 (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].
11.91/11.60	5823 (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].
11.91/11.60	5824 (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,k3_card_fil(A,C,B)) <-> (exists E (m1_subset_1(E,k1_zfmisc_1(A)) & r2_hidden(E,C) & r1_tarski(k5_subset_1(A,E,B),D)))))))))))) # label(t13_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5825 (all A (-v1_xboole_0(A) -> (all B (m1_card_fil(B,A) -> (v1_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))))))))) # label(d5_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5826 (all A (-v1_finset_1(A) & v1_card_1(A) -> (v7_card_fil(A) -> v1_card_5(A)))) # label(t33_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5827 (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].
11.91/11.60	5828 (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(B,C) & r2_hidden(k1_card_fil(A,B),C)))))))) # label(t6_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5829 (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].
11.91/11.60	5830 (all A (-v1_xboole_0(A) -> (all B (m1_card_fil(B,A) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) -> ((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)) -> (r1_tarski(E,D) & r2_hidden(D,C) -> r2_hidden(E,C)) & (r2_hidden(E,C) & r2_hidden(D,C) -> r2_hidden(k4_subset_1(A,D,E),C))))))))))))) # label(t7_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5831 (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)) -> -(r1_xboole_0(D,B) & r2_hidden(D,C)))) -> 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].
11.91/11.60	5832 (all A (-v1_finset_1(A) & v1_card_1(A) -> (v7_card_fil(A) -> v4_card_fil(A)))) # label(t39_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5833 (all A (-v1_finset_1(A) & v1_card_1(A) -> -v1_xboole_0(k2_card_1(A)) & -v1_finset_1(k2_card_1(A)) & -v2_card_1(k2_card_1(A)) & v1_card_1(k2_card_1(A)) & v3_ordinal1(k2_card_1(A)) & v2_ordinal1(k2_card_1(A)) & v1_ordinal1(k2_card_1(A)))) # label(fc3_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5834 (all A (-v1_xboole_0(A) -> (exists B m2_card_fil(B,A)))) # label(existence_m2_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5835 (all A (-v1_finset_1(A) & v1_card_1(A) & v6_card_fil(A) -> v2_ordinal1(A) & v3_ordinal1(A) & v1_card_1(A) & v1_card_5(A) & v5_card_fil(A) & v2_card_1(A) & -v1_finset_1(A) & -v1_xboole_0(A) & v1_ordinal1(A))) # label(cc4_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5836 (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].
11.91/11.60	5837 (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].
11.91/11.60	5838 (all A all B all C all D (v1_card_1(B) & m1_subset_1(D,B) & m2_relset_1(C,k2_zfmisc_1(k7_card_fil(B),B),k1_zfmisc_1(B)) & v1_funct_2(C,k2_zfmisc_1(k7_card_fil(B),B),k1_zfmisc_1(B)) & v1_funct_1(C) & -v2_card_1(B) & -v1_finset_1(B) -> ((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)))) <-> r2_hidden(A,a_3_3_card_fil(B,C,D))))) # label(fraenkel_a_3_3_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5839 (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) -> (r2_hidden(k1_card_1(D),B) & r1_tarski(D,C) -> r2_hidden(k1_setfam_1(D),C)))) <-> r1_card_fil(A,B,C)))))))) # label(d3_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5840 (all A all B (m1_card_fil(B,A) & -v1_xboole_0(A) -> B = k2_card_fil(A,k2_card_fil(A,B)))) # label(involutiveness_k2_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5841 (all A (-v1_xboole_0(A) -> (all B (m1_card_fil(B,A) -> (exists C (m1_card_fil(C,A) & v3_card_fil(C,A) & r1_tarski(B,C))))))) # label(t17_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5842 (all A (-v1_xboole_0(A) -> -v1_xboole_0(k4_card_fil(A)) & m1_subset_1(k4_card_fil(A),k1_zfmisc_1(k1_zfmisc_1(k1_zfmisc_1(A)))))) # label(dt_k4_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5843 (all A (-v1_xboole_0(A) -> (exists B m1_card_fil(B,A)))) # label(existence_m1_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5844 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].
11.91/11.60	5845 (all A all B (-v1_xboole_0(B) -> ((exists C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & A = C & m1_card_fil(C,B))) <-> r2_hidden(A,a_1_0_card_fil(B))))) # label(fraenkel_a_1_0_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5846 (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].
11.91/11.60	5847 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & -v1_xboole_0(B) -> a_2_1_card_fil(A,B) = k7_setfam_1(A,B))))) # label(t9_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5848 (all A (v1_card_1(A) & -v1_finset_1(A) -> (r3_card_fil & v2_card_1(A) -> v5_card_fil(A)))) # label(t28_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5849 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & -v1_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(D,C) -> r2_hidden(D,B)) & (r2_hidden(D,B) & r2_hidden(C,B) -> r2_hidden(k4_subset_1(A,C,D),B)))))) & -r2_hidden(A,B) <-> m2_card_fil(B,A)))))) # label(d2_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5850 (all A (-v1_xboole_0(A) -> (all B (v1_card_1(B) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) -> ((all D (-v1_xboole_0(D) -> (r2_hidden(k1_card_1(D),B) & r1_tarski(D,C) -> r2_hidden(k3_tarski(D),C)))) <-> r2_card_fil(A,B,C)))))))) # label(d4_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5851 (all A (-v1_xboole_0(A) -> m1_card_fil(k1_tarski(A),A))) # label(t4_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5852 (all A (v1_card_1(A) & v5_card_fil(A) & -v1_finset_1(A) -> v1_ordinal1(A) & -v1_xboole_0(A) & -v1_finset_1(A) & v2_card_1(A) & v1_card_1(A) & v3_ordinal1(A) & v2_ordinal1(A))) # label(cc3_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5853 (all A (v1_card_1(A) & -v2_card_1(A) & -v1_finset_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].
11.91/11.60	5854 (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].
11.91/11.60	5855 (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].
11.91/11.60	5856 (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].
11.91/11.60	5857 (all A (v1_card_1(A) & -v2_card_1(A) & -v1_finset_1(A) -> v3_ordinal1(A) & -v1_finset_1(A) & v1_card_1(A) & v1_card_5(A) & -v1_xboole_0(A) & v2_ordinal1(A) & v1_ordinal1(A))) # label(cc6_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5858 (all A all B all C all D (-v2_card_1(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k7_card_fil(B),B),k1_zfmisc_1(B)) & 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_card_1(B) & -v1_finset_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].
11.91/11.60	5859 (all A (-v1_finset_1(A) -> (all B (m1_card_fil(B,A) -> (v3_card_fil(B,A) & v1_card_fil(B,A) -> r1_tarski(k5_card_fil(A),B)))))) # label(t21_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5860 (all A (-v1_xboole_0(A) -> (all B (r2_hidden(B,k4_card_fil(A)) <-> m1_card_fil(B,A))))) # label(t15_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5861 (all A (-v1_finset_1(A) & v1_card_1(A) -> (v6_card_fil(A) -> v4_card_fil(A)))) # label(t30_card_fil) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5862 (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].
11.91/11.60	5863 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C (k1_relat_1(A) = k1_tarski(B) & k2_relat_1(A) = k1_tarski(C) -> k1_tarski(k4_tarski(B,C)) = A)))) # label(t2_pre_circ) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5864 (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].
11.91/11.60	5865 (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) -> (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].
11.91/11.60	5866 (all A all B all C all D (-v1_xboole_0(B) & v1_finset_1(B) & v1_trees_1(B) & v1_trees_1(C) & m1_trees_1(D,B) & v1_finset_1(C) & -v1_xboole_0(C) -> (r2_hidden(A,a_3_0_pre_circ(B,C,D)) <-> (exists E (m1_trees_1(E,C) & A = k8_finseq_1(k5_numbers,D,E)))))) # label(fraenkel_a_3_0_pre_circ) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5867 (all A k1_xboole_0 = k4_funct_5(k2_pre_circ(A,k1_xboole_0))) # label(t7_pre_circ) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5868 (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 (v1_funct_1(B) & v1_funct_2(B,k5_numbers,f1_s3_pre_circ) & m2_relset_1(B,k5_numbers,f1_s3_pre_circ) -> (f2_s3_pre_circ = k8_funct_2(k5_numbers,f1_s3_pre_circ,B,np__0) & (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> f3_s3_pre_circ(C,k8_funct_2(k5_numbers,f1_s3_pre_circ,B,C)) = k8_funct_2(k5_numbers,f1_s3_pre_circ,B,k1_nat_1(C,np__1)))) & (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)))) & f2_s3_pre_circ = k8_funct_2(k5_numbers,f1_s3_pre_circ,A,np__0) -> A = B))))) # label(s3_pre_circ_AndLHS) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5869 (exists A (v1_funct_2(A,k5_numbers,f1_s3_pre_circ) & m2_relset_1(A,k5_numbers,f1_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)))) & f2_s3_pre_circ = k8_funct_2(k5_numbers,f1_s3_pre_circ,A,np__0) & v1_funct_1(A))) # label(s3_pre_circ_AndRHS) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5870 (all A exists B (m1_pboole(B,A) & v1_relat_1(B) & v1_funct_1(B) & v1_pre_circ(B,A) & v2_relat_1(B))) # label(rc2_pre_circ) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5871 (all A all B (v1_relat_1(A) & v3_trees_2(A) & m1_subset_1(B,k1_relat_1(A)) & v1_finset_1(A) & v1_funct_1(A) -> v1_relat_1(k5_trees_2(A,B)) & v1_funct_1(k5_trees_2(A,B)) & v1_finset_1(k5_trees_2(A,B)) & v3_trees_2(k5_trees_2(A,B)))) # label(fc4_pre_circ) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5872 (all A (v1_funct_1(A) & v1_finseq_1(A) & v6_trees_3(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].
11.91/11.60	5873 (all A (v1_finset_1(A) & v3_trees_2(A) & v1_funct_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) & v1_funct_1(E) & v6_trees_3(E) & v1_finseq_1(E) -> -(r2_hidden(k12_finseq_1(k5_numbers,D),k1_relat_1(A)) & A = k4_trees_4(C,E) & (all F (v1_funct_1(F) & v6_trees_3(F) & v1_finseq_1(F) & v1_relat_1(F) -> -(k4_trees_4(C,F) = k8_trees_2(A,k12_finseq_1(k5_numbers,D),B) & k3_finseq_1(E) = k3_finseq_1(F) & (all G (m2_subset_1(G,k1_numbers,k5_numbers) -> (r2_hidden(G,k4_finseq_1(E)) -> k1_funct_1(F,G) = k1_funct_1(E,G) | G = k1_nat_1(D,np__1)))) & B = k1_funct_1(F,k1_nat_1(D,np__1)))))))))))))) # label(t19_pre_circ) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5874 (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) -> (all D (m2_finseq_1(D,k5_numbers) -> -(r2_hidden(D,k5_trees_1(A,C,B)) & (all E (m1_trees_1(E,B) -> D != k8_finseq_1(k5_numbers,C,E))) & r1_tarski(C,D)))))))))) # label(t15_pre_circ) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5875 (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].
11.91/11.60	5876 (all A (-v1_xboole_0(A) & v1_trees_1(A) & v1_finset_1(A) -> (all B (m1_trees_1(B,A) -> -(r1_xreal_0(k4_card_1(A),k4_card_1(k4_trees_1(A,B))) & k1_xboole_0 != B))))) # label(t20_pre_circ) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5877 (all A all B all C (-v1_xboole_0(B) & v1_finset_1(B) & m1_trees_1(C,B) & v1_trees_1(B) -> (r2_hidden(A,a_2_1_pre_circ(B,C)) <-> (exists D (m1_trees_1(D,B) & -r1_tarski(C,D) & D = A))))) # label(fraenkel_a_2_1_pre_circ) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5878 (all A all B (v2_relat_1(A) & v1_funct_1(B) & v1_relat_1(B) & v1_funct_1(A) & v1_relat_1(A) -> v1_relat_1(k5_relat_1(B,A)) & v1_funct_1(k5_relat_1(B,A)) & v2_relat_1(k5_relat_1(B,A)))) # label(fc3_pre_circ) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5879 $T # label(t1_pre_circ) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5880 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(A)) & m1_pboole(B,A) -> m1_pboole(k3_pre_circ(A,B,C),C))) # label(dt_k3_pre_circ) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5881 (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(k1_relat_1(A),k1_relat_1(C)) & r1_tarski(A,B) -> r1_tarski(A,k1_funct_4(B,C))))))))) # label(t4_pre_circ) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5882 (all A all B (v1_relat_1(A) & v1_funct_1(A) & v2_relat_1(A) -> v1_relat_1(k7_relat_1(A,B)) & v1_funct_1(k7_relat_1(A,B)) & v2_relat_1(k7_relat_1(A,B)))) # label(fc2_pre_circ) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5883 (exists A (-v1_xboole_0(A) & v1_membered(A) & v3_membered(A) & v4_membered(A) & v5_membered(A) & v2_membered(A) & v1_finset_1(A))) # label(rc1_pre_circ) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5884 (all A (m1_subset_1(A,f1_s4_pre_circ) -> (r2_hidden(A,f2_s4_pre_circ) -> m2_relset_1(f5_s4_pre_circ(A),k1_funct_1(f3_s4_pre_circ,A),k1_funct_1(f4_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)) & v1_funct_1(f5_s4_pre_circ(A))))) -> (exists A (m3_pboole(A,f2_s4_pre_circ,f3_s4_pre_circ,f4_s4_pre_circ) & (all B (m1_subset_1(B,f1_s4_pre_circ) -> (r2_hidden(B,f2_s4_pre_circ) -> k1_funct_1(A,B) = f5_s4_pre_circ(B)))))) # label(s4_pre_circ) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5885 (all A (v5_membered(A) & v1_finset_1(A) & -v1_xboole_0(A) -> v1_xreal_0(k2_seq_4(A)) & v1_xcmplx_0(k2_seq_4(A)) & v4_ordinal2(k2_seq_4(A)))) # label(fc1_pre_circ) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5886 (all A (v3_trees_2(A) & v1_finset_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_finset_1(B) & v3_trees_2(B) & v1_funct_1(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].
11.91/11.60	5887 (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].
11.91/11.60	5888 (all A (v1_trees_1(A) & v1_finset_1(A) & -v1_xboole_0(A) -> (all B (v1_trees_1(B) & v1_finset_1(B) & -v1_xboole_0(B) -> (all C (m1_trees_1(C,A) -> k1_nat_1(k4_card_1(k5_trees_1(A,C,B)),k4_card_1(k4_trees_1(A,C))) = k1_nat_1(k4_card_1(A),k4_card_1(B)))))))) # label(t22_pre_circ) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5889 (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) -> B = k1_relat_1(k10_funct_6(D)))))))) # label(t8_pre_circ) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5890 (all A np__1 = k4_card_1(k1_trees_4(A))) # label(t24_pre_circ) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5891 (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].
11.91/11.60	5892 (all A all B all C (m1_pboole(B,A) & m1_subset_1(C,k1_zfmisc_1(A)) -> k7_relat_1(B,C) = k3_pre_circ(A,B,C))) # label(redefinition_k3_pre_circ) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5893 (all A (v2_membered(A) & v1_finset_1(A) & -v1_xboole_0(A) -> (all B (v1_xreal_0(B) -> (B = k1_pre_circ(A) <-> (all C (v1_xreal_0(C) -> (r2_hidden(C,A) -> r1_xreal_0(C,B)))) & r2_hidden(B,A)))))) # label(d1_pre_circ) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5894 (all A (v2_membered(A) & v1_finset_1(A) & -v1_xboole_0(A) -> v1_xreal_0(k1_pre_circ(A)))) # label(dt_k1_pre_circ) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5895 (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].
11.91/11.60	5896 (all A (v2_membered(A) & v1_finset_1(A) & -v1_xboole_0(A) -> k2_seq_4(A) = k1_pre_circ(A))) # label(redefinition_k1_pre_circ) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5897 (all A ((exists B (f2_s1_pre_circ(B) = A & p1_s1_pre_circ(B) & m1_subset_1(B,f1_s1_pre_circ))) <-> r2_hidden(A,a_0_0_pre_circ))) # label(fraenkel_a_0_0_pre_circ) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5898 (exists A (m1_pboole(A,f1_s2_pre_circ) & (all B (m1_subset_1(B,f1_s2_pre_circ) -> (r2_hidden(B,f1_s2_pre_circ) -> (-p1_s2_pre_circ(B) -> k1_funct_1(A,B) = f3_s2_pre_circ(B)) & (p1_s2_pre_circ(B) -> f2_s2_pre_circ(B) = k1_funct_1(A,B))))))) # label(s2_pre_circ) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5899 $T # label(d2_pre_circ) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5900 (all A all B all C (v1_relat_1(A) & v3_trees_2(A) & m1_subset_1(B,k1_relat_1(A)) & v1_relat_1(C) & v1_funct_1(C) & v3_trees_2(C) & v1_finset_1(C) & v1_finset_1(A) & v1_funct_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].
11.91/11.60	5901 (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].
11.91/11.60	5902 (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].
11.91/11.60	5903 (all A (v1_relat_1(A) & v1_funct_1(A) -> k1_card_1(k1_relat_1(A)) = k1_card_1(A))) # label(t21_pre_circ) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5904 (all A (v1_funct_1(A) & v4_trees_3(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v4_trees_3(B) & v1_finseq_1(B) & v1_funct_1(B) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (k3_finseq_1(A) = k3_finseq_1(B) & (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r2_hidden(D,k4_finseq_1(A)) -> k1_nat_1(C,np__1) = D | k1_funct_1(A,D) = k1_funct_1(B,D)))) & r2_hidden(k1_nat_1(C,np__1),k4_finseq_1(A)) -> (all D (-v1_xboole_0(D) & v1_trees_1(D) -> (k1_funct_1(B,k1_nat_1(C,np__1)) = D -> k13_trees_3(B) = k5_trees_1(k13_trees_3(A),k12_finseq_1(k5_numbers,C),D))))))))))) # label(t18_pre_circ) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5905 (all A all B m1_pboole(k2_pre_circ(A,B),A)) # label(dt_k2_pre_circ) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5906 (all A (-v1_xboole_0(A) & v1_trees_1(A) & v1_finset_1(A) -> (all B (-v1_xboole_0(B) & v1_trees_1(B) & v1_finset_1(B) -> (all C (m1_trees_1(C,A) -> k5_trees_1(A,C,B) = k2_xboole_0(a_2_1_pre_circ(A,C),a_3_0_pre_circ(A,B,C)))))))) # label(t14_pre_circ) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5907 (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].
11.91/11.60	5908 (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].
11.91/11.60	5909 (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) & k1_funct_1(k10_funct_6(D),E) = F & r3_pboole(A,F,C))))))))))))) # label(t10_pre_circ) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5910 (all A all B (m1_pboole(B,A) & v2_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (m1_subset_1(D,k4_card_3(B)) -> (r1_tarski(k1_relat_1(C),k1_relat_1(B)) & (all E (r2_hidden(E,k1_relat_1(C)) -> r2_hidden(k1_funct_1(C,E),k1_funct_1(B,E)))) -> m1_subset_1(k1_funct_4(D,C),k4_card_3(B))))))))) # label(t9_pre_circ) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5911 (all A all B all C (-v1_xboole_0(B) & v1_trees_1(B) & m1_trees_1(C,B) & v1_finset_1(B) -> (r2_hidden(A,a_2_0_pre_circ(B,C)) <-> (exists D (m1_trees_1(D,B) & r1_tarski(C,D) & A = D))))) # label(fraenkel_a_2_0_pre_circ) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5912 (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) <-> r1_pboole(A,D,B)))) <-> r6_pboole(A,B,k1_mboolean(A,C))))))) # label(t1_mboolean) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5913 (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].
11.91/11.60	5914 (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].
11.91/11.60	5915 (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].
11.91/11.60	5916 (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].
11.91/11.60	5917 (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].
11.91/11.60	5918 (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].
11.91/11.60	5919 (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].
11.91/11.60	5920 (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].
11.91/11.60	5921 (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].
11.91/11.60	5922 (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].
11.91/11.60	5923 (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) -> 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].
11.91/11.60	5924 (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].
11.91/11.60	5925 (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].
11.91/11.60	5926 (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].
11.91/11.60	5927 (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].
11.91/11.60	5928 (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].
11.91/11.60	5929 (all A all B (m1_pboole(B,A) -> r2_pboole(A,k1_pboole(A),B))) # label(t5_mboolean) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5930 (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].
11.91/11.60	5931 (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].
11.91/11.60	5932 (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].
11.91/11.60	5933 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (v2_relat_1(k2_pboole(A,B,C)) & (all D (m1_pboole(D,A) -> (all E (m1_pboole(E,A) -> (r1_pboole(A,D,k2_pboole(A,B,C)) & r1_pboole(A,E,k2_pboole(A,B,C)) -> E = D | r6_pboole(A,k3_pboole(A,D,E),k1_pboole(A))))))) -> 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].
11.91/11.60	5934 (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].
11.91/11.60	5935 (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].
11.91/11.60	5936 (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].
11.91/11.60	5937 (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)) & r5_pboole(A,B,k3_pboole(A,C,D)) <-> r2_pboole(A,B,k5_pboole(A,C,D))))))))) # label(t13_mboolean) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5938 $T # label(t14_mboolean) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5939 (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].
11.91/11.60	5940 (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].
11.91/11.60	5941 (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].
11.91/11.60	5942 (all A all B (m1_pboole(B,A) & v1_pre_circ(B,A) & v2_relat_1(B) -> ((all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> -(r1_pboole(A,C,B) & -r2_pboole(A,D,C) & -r2_pboole(A,C,D) & r1_pboole(A,D,B)))))) -> r1_pboole(A,k2_mboolean(A,B),B)))) # label(t37_mboolean) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5943 (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].
11.91/11.60	5944 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (C = k2_mboolean(A,B) <-> (all D (r2_hidden(D,A) -> k3_tarski(k1_funct_1(B,D)) = k1_funct_1(C,D)))))))) # label(d2_mboolean) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5945 (all A r6_pboole(A,k2_mboolean(A,k1_pboole(A)),k1_pboole(A))) # label(t22_mboolean) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5946 (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].
11.91/11.60	5947 (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) -> r2_pboole(A,k5_pboole(A,B,D),C)))))))) # label(t17_mboolean) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5948 (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) -> r2_pboole(A,k3_pboole(A,B,D),C)))))))) # label(t15_mboolean) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	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) & r5_pboole(A,B,D) <-> r2_pboole(A,B,k4_pboole(A,C,D))))))))) # label(t11_mboolean) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5950 (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].
11.91/11.60	5951 (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].
11.91/11.60	5952 (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) -> r2_pboole(A,D,B)))) -> r2_pboole(A,k2_mboolean(A,C),B)))))) # label(t33_mboolean) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	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].
11.91/11.60	5954 (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].
11.91/11.60	5955 (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].
11.91/11.60	5956 (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].
11.91/11.60	5957 (all A all B (m1_pboole(B,A) -> (exists C (v3_mssubfam(C,A,B) & v5_mssubfam(C,A,B) & v6_mssubfam(C,A,B) & v4_mssubfam(C,A,B) & v2_mssubfam(C,A,B) & v1_mssubfam(C,A,B) & v1_funct_1(C) & v2_relat_1(C) & v1_relat_1(C) & m4_pboole(C,A,k1_mboolean(A,B)))))) # label(rc5_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.60	5958 (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)))) -> -(k1_funct_1(D,E) = k8_setfam_1(k1_funct_1(B,E),F) & F = k1_funct_1(C,E)))))) <-> k5_mssubfam(A,B,C) = D))))))) # label(d2_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	5959 (all A all B (m1_pboole(B,A) -> (v1_pre_circ(k1_mboolean(A,B),A) <-> v1_pre_circ(B,A)))) # label(t21_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	5960 (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].
11.91/11.61	5961 (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].
11.91/11.61	5962 (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].
11.91/11.61	5963 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (v1_pre_circ(k11_pboole(A,B,C),A) & v2_relat_1(B) -> v1_pre_circ(C,A)))))) # label(t20_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	5964 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (r2_hidden(k1_xboole_0,B) -> k1_xboole_0 = k8_setfam_1(A,B)))) # label(t3_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	5965 (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].
11.91/11.61	5966 (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].
11.91/11.61	5967 (all A all B (m1_pboole(B,A) -> (all C (v2_relat_1(C) & m4_pboole(C,A,k1_mboolean(A,B)) -> r2_pboole(A,k6_mssubfam(A,B,C),k2_mboolean(A,C)))))) # label(t42_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	5968 (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,C,B) & r1_pboole(A,D,B) & -r2_pboole(A,D,C) & -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,D,C)))) & r1_pboole(A,C,B))))))) # label(t29_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	5969 (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].
11.91/11.61	5970 (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) -> m4_pboole(k2_pzfmisc1(A,B,D),A,k1_mboolean(A,C))))))))) # label(t39_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	5971 (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].
11.91/11.61	5972 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (v2_relat_1(B) & v1_pre_circ(k11_pboole(A,C,B),A) -> v1_pre_circ(C,A)))))) # label(t19_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	5973 (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].
11.91/11.61	5974 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) & v2_relat_1(C) -> (m2_pboole(B,A,C) -> r1_pboole(A,B,C)))))) # label(t12_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	5975 (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].
11.91/11.61	5976 (all A all B (m1_pboole(B,A) -> v3_relat_1(k1_pboole(A)) & m4_pboole(k1_pboole(A),A,k1_mboolean(A,B)) & v1_pre_circ(k1_pboole(A),A))) # label(t31_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	5977 (all A (v1_relat_1(k1_pboole(A)) & v3_relat_1(k1_pboole(A)) & v1_pre_circ(k1_pboole(A),A) & v1_funct_1(k1_pboole(A)))) # label(fc1_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	5978 $T # label(d1_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	5979 (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].
11.91/11.61	5980 (all A all B (v1_funcop_1(B) & m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> -(v1_pre_circ(C,A) & r2_pboole(A,C,k2_mssubfam(A,B)) & (all D (m1_pboole(D,A) -> -(r6_pboole(A,k14_pboole(A,D,B),C) & v1_pre_circ(D,A) & r2_pboole(A,D,k1_mssubfam(A,B)))))))))) # label(t30_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	5981 (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].
11.91/11.61	5982 (all A all B all C (v1_pre_circ(C,A) & m1_pboole(C,A) & m1_pboole(B,A) -> v1_funct_1(k3_pboole(A,C,B)) & v1_pre_circ(k3_pboole(A,C,B),A) & v1_relat_1(k3_pboole(A,C,B)))) # label(fc4_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	5983 (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) -> -(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)) & v1_pre_circ(C,A) & v1_pre_circ(B,A)))))))) # label(t27_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	5984 (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].
11.91/11.61	5985 (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].
11.91/11.61	5986 (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].
11.91/11.61	5987 (all A all B all C (m1_pboole(B,A) & v1_pre_circ(C,A) & m1_pboole(C,A) & v1_funcop_1(B) -> v1_relat_1(k14_pboole(A,C,B)) & v1_pre_circ(k14_pboole(A,C,B),A) & v1_funct_1(k14_pboole(A,C,B)))) # label(fc6_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	5988 (all A all B (v1_funcop_1(B) & m1_pboole(B,A) -> m1_pboole(k1_mssubfam(A,B),A))) # label(dt_k1_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	5989 (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].
11.91/11.61	5990 (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].
11.91/11.61	5991 (all A all B all C all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) -> (r2_hidden(B,D) & r1_xboole_0(B,C) -> r1_xboole_0(k8_setfam_1(A,D),C)))) # label(t7_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	5992 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (r1_pboole(A,B,C) <-> v5_mssubfam(C,A,B)))))) # label(d7_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	5993 (all A all B (v1_funcop_1(B) & m1_pboole(B,A) -> m1_pboole(k2_mssubfam(A,B),A))) # label(dt_k2_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	5994 (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].
11.91/11.61	5995 (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].
11.91/11.61	5996 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (v1_mssubfam(C,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,k2_pboole(A,D,E),C))))))))))) # label(d3_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	5997 (all A all B (m1_pboole(B,A) & v1_funcop_1(B) -> (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].
11.91/11.61	5998 (all A all B all C (m1_pboole(C,A) & v1_pre_circ(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].
11.91/11.61	5999 (all A all B (m1_pboole(B,A) & v1_funcop_1(B) -> k2_mssubfam(A,B) = k3_funct_6(B))) # label(redefinition_k2_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	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)) -> m4_pboole(k4_pboole(A,D,B),A,k1_mboolean(A,C)))))))) # label(t36_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6001 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) & v1_pre_circ(C,A) & v1_pre_circ(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].
11.91/11.61	6002 (all A all B (m1_pboole(B,A) -> v1_mssubfam(k7_mssubfam(A,B),A,B) & m4_pboole(k7_mssubfam(A,B),A,k1_mboolean(A,B)) & v6_mssubfam(k7_mssubfam(A,B),A,B) & v5_mssubfam(k7_mssubfam(A,B),A,B) & v4_mssubfam(k7_mssubfam(A,B),A,B) & v3_mssubfam(k7_mssubfam(A,B),A,B) & v2_mssubfam(k7_mssubfam(A,B),A,B))) # label(dt_k7_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6003 (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].
11.91/11.61	6004 (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(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].
11.91/11.61	6005 (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].
11.91/11.61	6006 (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].
11.91/11.61	6007 (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].
11.91/11.61	6008 (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))) -> C = k1_xboole_0 | r1_tarski(B,k8_setfam_1(A,C))))) # label(t5_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6009 (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].
11.91/11.61	6010 (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].
11.91/11.61	6011 (all A all B (m1_pboole(B,A) -> k7_mssubfam(A,B) = k1_mboolean(A,B))) # label(redefinition_k7_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6012 (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(k5_pboole(A,B,C),A) & v1_funct_1(k5_pboole(A,B,C)) & v1_relat_1(k5_pboole(A,B,C)))) # label(fc10_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6013 (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) <-> v6_mssubfam(C,A,B)))))) # label(d8_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6014 (all A all B all C (v1_pre_circ(B,A) & m1_pboole(B,A) & m1_pboole(C,A) & v1_pre_circ(C,A) -> v1_pre_circ(k11_pboole(A,B,C),A) & v1_funct_1(k11_pboole(A,B,C)) & v1_relat_1(k11_pboole(A,B,C)))) # label(fc7_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6015 (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].
11.91/11.61	6016 (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].
11.91/11.61	6017 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> -(r2_pboole(A,B,k11_pboole(A,C,D)) & (all E (m1_pboole(E,A) -> (all F (m1_pboole(F,A) -> -(v1_pre_circ(E,A) & v1_pre_circ(F,A) & r2_pboole(A,B,k11_pboole(A,E,F)) & r2_pboole(A,F,D) & r2_pboole(A,E,C)))))) & v1_pre_circ(B,A)))))))) # label(t26_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6018 (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,k3_pboole(A,D,E),C)))))) <-> v3_mssubfam(C,A,B)))))) # label(d5_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6019 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) & v1_funcop_1(C) -> ((all D all E (v1_funct_1(E) & v1_relat_1(E) -> (r2_hidden(D,A) & k1_funct_1(C,D) = E -> v1_finset_1(k10_relat_1(E,k1_funct_1(B,D)))))) & r2_pboole(A,B,k2_mssubfam(A,C)) -> v1_pre_circ(B,A)))))) # label(t25_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6020 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (v2_mssubfam(C,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))))))))) # label(d4_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6021 (all A all B (m1_pboole(B,A) & v1_funcop_1(B) -> k2_funct_6(B) = k1_mssubfam(A,B))) # label(redefinition_k1_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6022 (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].
11.91/11.61	6023 (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].
11.91/11.61	6024 (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].
11.91/11.61	6025 (all A all B (v2_relat_1(B) & m1_pboole(B,A) & v1_pre_circ(B,A) -> -((all C (m1_pboole(C,A) -> -((all D (m1_pboole(D,A) -> (r1_pboole(A,D,B) -> r2_pboole(A,C,D)))) & r1_pboole(A,C,B)))) & (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> -(r1_pboole(A,C,B) & r1_pboole(A,D,B) & -r2_pboole(A,C,D) & -r2_pboole(A,D,C))))))))) # label(t28_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6026 (all A (r2_hidden(A,f1_s1_mssubfam) -> (all B -((all C -(r2_hidden(C,k1_funct_1(f3_s1_mssubfam,A)) & p1_s1_mssubfam(C,B,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 -(r2_hidden(B,f1_s1_mssubfam) & (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) -> -((all D (r2_hidden(D,k1_funct_1(f2_s1_mssubfam,B)) -> p1_s1_mssubfam(k1_funct_1(C,D),D,B))) & k1_funct_1(A,B) = C))))))) # label(s1_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6027 (all A all B (m1_pboole(B,A) & v1_pre_circ(B,A) -> v1_relat_1(k1_mboolean(A,B)) & v1_funct_1(k1_mboolean(A,B)) & v1_pre_circ(k1_mboolean(A,B),A) & v2_relat_1(k1_mboolean(A,B)))) # label(fc8_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6028 (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].
11.91/11.61	6029 (all A all B (m1_pboole(B,A) & v1_funcop_1(B) -> (all C (m1_pboole(C,A) & v1_funcop_1(C) -> m1_pboole(k13_pboole(B,C),A) & v1_funcop_1(k13_pboole(B,C)))))) # label(t15_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6030 (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].
11.91/11.61	6031 (all A all B all C (m1_pboole(C,B) & v1_funcop_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (r2_hidden(A,B) & k1_funct_1(C,A) = D -> k2_relat_1(D) = k1_funct_1(k2_mssubfam(B,C),A)))))) # label(t13_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6032 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r2_pboole(A,B,C) & v1_pre_circ(C,A) -> v1_pre_circ(B,A)))))) # label(t18_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6033 (all A all B all C all D (m1_subset_1(D,A) & m4_pboole(C,A,k1_mboolean(A,B)) & m1_pboole(B,A) & -v1_xboole_0(A) -> k4_mssubfam(A,B,C,D) = k1_funct_1(C,D))) # label(redefinition_k4_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6034 (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].
11.91/11.61	6035 (all A all B all C all D (m4_pboole(C,A,k1_mboolean(A,B)) & m1_subset_1(D,A) & m1_pboole(B,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].
11.91/11.61	6036 (all A all B (v2_relat_1(B) & m1_pboole(B,A) -> ((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].
11.91/11.61	6037 (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].
11.91/11.61	6038 (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].
11.91/11.61	6039 (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) -> ((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].
11.91/11.61	6040 (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].
11.91/11.61	6041 (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].
11.91/11.61	6042 (all A all B (m1_pboole(B,A) & v1_pre_circ(B,A) -> (all C (m4_pboole(C,A,B) -> v1_pre_circ(C,A))))) # label(cc2_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6043 (all A all B (m1_pboole(B,A) -> (exists C (m4_pboole(C,A,k1_mboolean(A,B)) & v1_funct_1(C) & v2_relat_1(C) & v1_relat_1(C))))) # label(rc2_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6044 (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].
11.91/11.61	6045 (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)) -> (r1_pboole(A,C,E) & r6_pboole(A,k3_pboole(A,C,D),k1_pboole(A)) -> r6_pboole(A,k3_pboole(A,k6_mssubfam(A,B,E),D),k1_pboole(A))))))))))) # label(t48_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6046 (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)) -> (k1_tarski(C) = B -> C = k8_setfam_1(A,B)))))) # label(t9_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6047 (all A all B (m1_pboole(B,A) -> (exists C (v1_relat_1(C) & v3_relat_1(C) & v1_funct_1(C) & v1_pre_circ(C,A) & m4_pboole(C,A,B))))) # label(rc1_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6048 (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].
11.91/11.61	6049 (all A all B all C (m1_pboole(C,B) & v1_funcop_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (r2_hidden(A,B) & D = k1_funct_1(C,A) -> k1_relat_1(D) = k1_funct_1(k1_mssubfam(B,C),A)))))) # label(t14_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6050 (all A all B (m1_pboole(B,A) & v1_pre_circ(B,A) -> (exists C (m4_pboole(C,A,k1_mboolean(A,B)) & v1_relat_1(C) & v1_funct_1(C) & v1_pre_circ(C,A) & v2_relat_1(C))))) # label(rc4_mssubfam) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6051 (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].
11.91/11.61	6052 (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].
11.91/11.61	6053 (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(k9_funct_7(A,B)) = k1_relat_1(A)))))) # label(t76_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6054 (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 (v1_funct_1(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))) # label(s1_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6055 (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) -> (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(k1_nat_1(C,np__1),k4_finseq_1(A)) & r2_hidden(C,k4_finseq_1(A)) <-> r2_hidden(C,k4_finseq_1(B)))))))))) # label(t24_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6056 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) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> p1_s5_funct_7(k7_finseq_1(A,k9_finseq_1(B)))))))) -> (all A (v1_funct_1(A) & v1_funcop_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> p1_s5_funct_7(A))) # label(s5_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6057 (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) -> 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].
11.91/11.61	6058 (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_xboole_0(k2_relat_1(A),k1_relat_1(B)) -> k5_relat_1(A,C) = k5_relat_1(A,k1_funct_4(C,B))))))))) # label(t12_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6059 (all A all B (m2_relset_1(B,A,A) & v1_funct_2(B,A,A) & v1_funct_1(B) -> k6_partfun1(A) = k9_funct_7(B,np__0))) # label(t86_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6060 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> k4_funct_7(k2_xboole_0(k1_relat_1(A),k2_relat_1(A)),k2_finseq_2(B,A)) = k9_funct_7(A,B))))) # label(t90_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6061 (all A all B (v1_funct_1(A) & v1_finseq_1(A) & v1_funcop_1(A) & v1_relat_1(A) -> v1_finseq_1(k5_funct_7(A,B)) & v1_funct_1(k5_funct_7(A,B)) & v1_relat_1(k5_funct_7(A,B)))) # label(dt_k5_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6062 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_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].
11.91/11.61	6063 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(B) = f4_s2_funct_7(A) -> A = B))))) -> v1_finset_1(a_0_0_funct_7) # label(s2_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6064 (all A (-v1_xboole_0(A) & v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) & v2_relat_1(A) -> (exists B m2_funct_7(B,A)))) # label(existence_m2_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6065 (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(A,k1_funct_4(B,C)) = k1_funct_4(k5_relat_1(A,B),k5_relat_1(A,C)))))))) # label(t11_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6066 r1_tarski(f1_s4_funct_7,f2_s4_funct_7) & (all A (m1_subset_1(A,f2_s4_funct_7) -> (all B (m1_subset_1(B,f2_s4_funct_7) -> (f3_s4_funct_7(A) = f3_s4_funct_7(B) -> B = A))))) -> r2_tarski(f1_s4_funct_7,a_0_2_funct_7) # label(s4_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6067 (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 ((all D (m2_subset_1(D,k1_zfmisc_1(A),B) -> (r1_tarski(D,C) -> D = C))) & m2_subset_1(C,k1_zfmisc_1(A),B))))))) # label(t23_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6068 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C all D (C != D -> 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].
11.91/11.61	6069 (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].
11.91/11.61	6070 (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].
11.91/11.61	6071 (all A ((exists B (m1_subset_1(B,f2_s4_funct_7) & r2_hidden(B,f1_s4_funct_7) & A = f3_s4_funct_7(B))) <-> r2_hidden(A,a_0_2_funct_7))) # label(fraenkel_a_0_2_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6072 (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)) -> E = D | 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].
11.91/11.61	6073 (all A all B (v1_relat_1(B) & v1_funct_1(B) & m1_subset_1(A,k5_numbers) -> v1_relat_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)) & v1_funct_1(k2_finseq_2(A,B)))) # label(fc7_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6074 (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 (m1_pboole(D,k5_numbers) & (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) -> (k1_funct_1(D,E) = F & k1_funct_1(B,k1_nat_1(E,np__1)) = G -> k1_funct_1(D,k1_nat_1(E,np__1)) = k5_relat_1(F,G))))))))) & k6_partfun1(A) = k1_funct_1(D,np__0) & C = k1_funct_1(D,k3_finseq_1(B)) & v1_funcop_1(D))) <-> C = k4_funct_7(A,B)))))) # label(d4_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6075 (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].
11.91/11.61	6076 (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) -> k3_funct_7(A,B,E,k4_finseq_4(k5_numbers,A,B,E)) = B)))))))))) # label(t40_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6077 $T # label(dt_k7_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6078 (all A (v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(A) & v1_funct_7(A) & v1_funcop_1(A) & v1_finseq_1(A))) # label(cc2_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6079 (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].
11.91/11.61	6080 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_funct_7(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_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_funct_7(k7_finseq_1(k9_finseq_1(B),A)) & v1_finseq_1(k7_finseq_1(k9_finseq_1(B),A))))))) # label(t65_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6081 (all A all B all C (-v1_xboole_0(A) & m1_funct_7(C,B,A) -> k4_funct_7(B,C) = k8_funct_7(A,B,C))) # label(redefinition_k8_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6082 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C all D k2_funct_7(k2_funct_7(A,D,B),D,C) = k2_funct_7(A,D,C)))) # label(t36_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6083 (all A all B all C (v1_relat_1(A) & v1_funct_1(B) & v1_funct_1(C) & v1_relat_1(C) & v1_relat_1(B) & v1_funct_1(A) -> v1_funct_1(k11_finseq_1(A,B,C)) & v1_finset_1(k11_finseq_1(A,B,C)) & v1_finseq_1(k11_finseq_1(A,B,C)) & v1_funcop_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].
11.91/11.61	6084 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_relat_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].
11.91/11.61	6085 (all A all B (v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(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_funcop_1(k10_finseq_1(A,B)) & v1_funct_1(k10_finseq_1(A,B)))) # label(fc5_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6086 (all A all B (v1_funct_1(B) & v1_relat_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].
11.91/11.61	6087 (all A (v1_funct_1(A) & v1_relat_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].
11.91/11.61	6088 (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].
11.91/11.61	6089 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> ((exists B (v1_relat_1(B) & v1_finseq_1(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),k1_funct_2(k1_funct_1(B,C),k1_funct_1(B,k1_nat_1(C,np__1))))))) & k3_finseq_1(B) = k1_nat_1(k3_finseq_1(A),np__1) & v1_funct_1(B))) <-> v1_funct_7(A)))) # label(d8_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6090 (exists A (v1_funct_1(A) & v1_funct_7(A) & v1_funcop_1(A) & v1_finseq_1(A) & v1_finset_1(A) & v2_relat_1(A) & v1_relat_1(A) & -v1_xboole_0(A))) # label(rc2_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6091 (all A all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_relset_1(C,A,A) & v1_funct_2(C,A,A) & v1_funct_1(C) -> 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].
11.91/11.61	6092 (all A (v1_funct_1(A) & v1_relat_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].
11.91/11.61	6093 (all A (v1_funct_7(A) & v1_finseq_1(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].
11.91/11.61	6094 (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].
11.91/11.61	6095 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (k1_relat_1(C) = k2_xboole_0(A,k1_tarski(B)) -> k1_funct_4(k7_relat_1(C,A),k3_cqc_lang(B,k1_funct_1(C,B))) = C))) # label(t15_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6096 (all A all B (v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) & v1_finseq_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].
11.91/11.61	6097 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (B != np__0 -> r1_tarski(k1_relat_1(k9_funct_7(A,B)),k1_relat_1(A)) & r1_tarski(k2_relat_1(k9_funct_7(A,B)),k2_relat_1(A))))))) # label(t75_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6098 (all A (v1_funct_1(A) & v1_relat_1(A) -> -v1_xboole_0(k5_finseq_1(A)) & v1_finset_1(k5_finseq_1(A)) & v1_finseq_1(k5_finseq_1(A)) & v1_funcop_1(k5_finseq_1(A)) & v1_funct_7(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].
11.91/11.61	6099 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> k5_relat_1(k6_partfun1(k2_xboole_0(k1_relat_1(A),k2_relat_1(A))),k9_funct_7(A,B)) = k9_funct_7(A,B))))) # label(t77_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6100 (all A all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (v1_funct_1(C) & m2_relset_1(C,A,A) -> 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].
11.91/11.61	6101 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> r1_tarski(k1_relat_1(k9_funct_7(A,B)),k2_xboole_0(k1_relat_1(A),k2_relat_1(A))) & r1_tarski(k2_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].
11.91/11.61	6102 (all A all B (m1_subset_1(B,k5_numbers) & v1_funct_1(A) & 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].
11.91/11.61	6103 (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) -> (B != np__0 -> 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].
11.91/11.61	6104 (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].
11.91/11.61	6105 $T # label(dt_k6_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6106 (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].
11.91/11.61	6107 (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].
11.91/11.61	6108 (all A (v1_funct_1(A) & v1_relat_1(A) -> k9_funct_7(A,np__1) = A)) # label(t72_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6109 (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_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B))))) # label(dt_m2_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6110 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B ((v1_xboole_0(A) -> (B = k6_funct_7(A) <-> v1_xboole_0(B))) & (-v1_xboole_0(A) -> (k1_funct_5(k1_funct_1(A,np__1)) = B <-> B = k6_funct_7(A))))))) # label(d6_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6111 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_funcop_1(A) -> (all B all C (v1_relat_1(C) & v1_finseq_1(C) & v1_funct_1(C) -> (C = k5_funct_7(A,B) <-> B = k1_funct_1(C,np__1) & (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (all E (v1_relat_1(E) & v1_funct_1(E) -> (k1_funct_1(A,D) = E & r2_hidden(D,k4_finseq_1(A)) -> k1_funct_1(C,k1_nat_1(D,np__1)) = k1_funct_1(E,k1_funct_1(C,D))))))) & k3_finseq_1(C) = k1_nat_1(k3_finseq_1(A),np__1)))))) # label(d5_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6112 (all A all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_funcop_1(B) -> (all C (v1_finseq_1(C) & v1_funcop_1(C) & v1_funct_1(C) & v1_relat_1(C) -> 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)) = 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)))))) # label(t51_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6113 (all A all B m1_subset_1(k1_funct_7(A,B),B)) # label(dt_k1_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6114 (all A all B (v1_funct_1(B) & v1_finseq_1(B) & v1_funcop_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].
11.91/11.61	6115 (all A all B (r2_hidden(A,B) -> A = k1_funct_7(A,B))) # label(d1_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6116 (all A (v1_relat_1(A) & v1_funct_7(A) & v1_finseq_1(A) & v1_funct_1(A) -> v1_finset_1(A) & v1_funcop_1(A) & v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A))) # label(cc1_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6117 (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].
11.91/11.61	6118 (all A all B all C (m1_subset_1(B,k5_numbers) & v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> v1_finseq_1(k2_funct_7(A,B,C)) & v1_finset_1(k2_funct_7(A,B,C)) & v1_funct_1(k2_funct_7(A,B,C)) & v1_relat_1(k2_funct_7(A,B,C)))) # label(fc9_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6119 (all A all B exists C m1_funct_7(C,A,B)) # label(existence_m1_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6120 (all A (r2_hidden(A,a_0_1_funct_7) <-> (exists B (B = A & r2_hidden(f3_s3_funct_7(B),f1_s3_funct_7) & m1_subset_1(B,f2_s3_funct_7))))) # label(fraenkel_a_0_1_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6121 (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].
11.91/11.61	6122 (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].
11.91/11.61	6123 (all A (v1_funct_1(A) & v1_funct_7(A) & v1_finseq_1(A) & v1_relat_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].
11.91/11.61	6124 (all A all B all C (v1_funcop_1(C) & v1_finseq_1(C) & v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_funct_1(D) & v1_funcop_1(D) & v1_finseq_1(D) & v1_relat_1(D) -> (r1_tarski(k2_relat_1(k4_funct_7(A,C)),B) -> k4_funct_7(A,k7_finseq_1(C,D)) = k5_relat_1(k4_funct_7(A,C),k4_funct_7(B,D))))))) # label(t50_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6125 (all A all B all C all D (-v1_xboole_0(k4_funct_4(A,B,C,D)) & v1_funct_1(k4_funct_4(A,B,C,D)) & v1_relat_1(k4_funct_4(A,B,C,D)))) # label(fc2_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6126 (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(k2_relat_1(B),k1_relat_1(A)) & r1_tarski(k2_relat_1(C),k1_relat_1(A)) -> k1_funct_4(k5_relat_1(B,A),k5_relat_1(C,A)) = k5_relat_1(k1_funct_4(B,C),A)))))))) # label(t10_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6127 (all A (v1_funct_1(A) & v1_relat_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)) -> A = k2_funct_7(A,B,C)))))) # label(d3_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6128 (exists A (-v1_xboole_0(A) & v2_relat_1(A) & v1_finset_1(A) & v1_funcop_1(A) & v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A))) # label(rc1_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6129 (all A -((all B (m1_subset_1(B,f2_s3_funct_7) -> A != f3_s3_funct_7(B))) & r2_hidden(A,f1_s3_funct_7))) & (all A (m1_subset_1(A,f2_s3_funct_7) -> (all B (m1_subset_1(B,f2_s3_funct_7) -> (f3_s3_funct_7(A) = f3_s3_funct_7(B) -> A = B))))) -> r2_tarski(f1_s3_funct_7,a_0_1_funct_7) # label(s3_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6130 (all 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) -> k9_funct_7(A,k1_nat_1(B,C)) = k5_relat_1(k9_funct_7(A,C),k9_funct_7(A,B)))))))) # label(t79_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6131 (all A (v1_funct_1(A) & v1_relat_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].
11.91/11.61	6132 (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(k9_funct_7(D,B),C) = k9_funct_7(D,k2_nat_1(B,C)))))))) # label(t87_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6133 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (r1_tarski(k2_relat_1(A),B) -> k5_relat_1(A,k6_partfun1(B)) = A)))) # label(t1_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.61	6134 (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 (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].
11.91/11.62	6135 (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) -> (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].
11.91/11.62	6136 (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].
11.91/11.62	6137 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_relat_1(k5_finseq_1(A)) & v1_funct_1(k5_finseq_1(A)) & v1_funcop_1(k5_finseq_1(A)) & v1_finseq_1(k5_finseq_1(A)) & v1_finset_1(k5_finseq_1(A)) & -v1_xboole_0(k5_finseq_1(A)))) # label(fc4_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.62	6138 (all A all B (m1_pboole(B,A) -> (all C (r2_hidden(C,A) -> k3_cqc_lang(C,k1_funct_1(B,C)) = k7_relat_1(B,k1_tarski(C)))))) # label(t7_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.62	6139 (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) -> (v1_funcop_1(k7_finseq_1(A,B)) -> v1_funcop_1(A) & v1_funcop_1(B)))))) # label(t25_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.62	6140 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (k9_funct_7(A,B) = C <-> (exists D (v1_funct_1(D) & 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)))) & 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 & (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))))) & 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,np__0) & 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))))))))))))) # label(d11_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.62	6141 (all A all B (v1_funcop_1(B) & v1_finseq_1(B) & v1_funct_1(B) & v1_relat_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].
11.91/11.62	6142 (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].
11.91/11.62	6143 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_finseq_1(B) & v1_funct_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].
11.91/11.62	6144 (all A all B (v1_funct_1(B) & v1_funct_7(B) & v1_finseq_1(B) & v1_relat_1(B) -> (k1_xboole_0 != B -> k3_xboole_0(k6_funct_7(B),A) = k1_relat_1(k4_funct_7(A,B))))) # label(t63_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.62	6145 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B ((v1_xboole_0(A) -> (v1_xboole_0(B) <-> B = k7_funct_7(A))) & (-v1_xboole_0(A) -> (B = k2_funct_5(k1_funct_1(A,k3_finseq_1(A))) <-> B = k7_funct_7(A))))))) # label(d7_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.62	6146 $T # label(t9_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.62	6147 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) & v2_relat_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].
11.91/11.62	6148 (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].
11.91/11.62	6149 (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].
11.91/11.62	6150 (all A all B all C all D (m1_finseq_1(B,A) & m1_subset_1(C,k5_numbers) & m1_subset_1(D,A) -> k2_funct_7(B,C,D) = k3_funct_7(A,B,C,D))) # label(redefinition_k3_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.62	6151 (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].
11.91/11.62	6152 (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) -> 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].
11.91/11.62	6153 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (C = k2_funcop_1(B,A) & r2_hidden(A,B) -> k9_funct_7(C,D) = C | D = np__0))))) # label(t89_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.62	6154 (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) -> (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].
11.91/11.62	6155 (all A all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funcop_1(B) & v1_funct_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].
11.91/11.62	6156 (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,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].
11.91/11.62	6157 $T # label(t17_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.62	6158 (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].
11.91/11.62	6159 (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].
11.91/11.62	6160 (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_funcop_1(C) & v1_finseq_1(C) & v1_funct_1(C) -> 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)))) = k5_funct_7(k7_finseq_1(B,C),A))))) # label(t52_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.62	6161 (all 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) -> (r1_tarski(k2_relat_1(A),k1_relat_1(A)) -> k9_funct_7(A,k2_nat_1(B,C)) = k9_funct_7(k9_funct_7(A,B),C)))))))) # label(t81_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.91/11.62	6162 (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(k5_relat_1(B,C)),A) & -r1_tarski(k1_relat_1(k5_relat_1(B,k5_relat_1(C,D))),A) & -r1_tarski(k1_relat_1(B),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].
11.91/11.62	6163 (all A all B all C -(B != A & 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].
11.98/11.62	6164 (all A all B (v1_finseq_1(A) & v1_funcop_1(A) & v1_relat_1(B) & v1_funcop_1(B) & v1_finseq_1(B) & v1_funct_1(B) & v1_funct_1(A) & v1_relat_1(A) -> v1_relat_1(k7_finseq_1(A,B)) & v1_finset_1(k7_finseq_1(A,B)) & v1_funcop_1(k7_finseq_1(A,B)) & v1_finseq_1(k7_finseq_1(A,B)) & v1_funct_1(k7_finseq_1(A,B)))) # label(fc8_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6165 (all A all B all C (v1_funct_1(C) & v1_funct_7(C) & v1_finseq_1(C) & v1_relat_1(C) -> (r2_hidden(A,B) & r2_hidden(A,k6_funct_7(C)) -> 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].
11.98/11.62	6166 (all A (-v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_relat_1(A) -> (all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> (m2_funct_7(B,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))))))) & k1_nat_1(k3_finseq_1(B),np__1) = k3_finseq_1(A)))))) # label(d10_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6167 (all A all B ((v1_xboole_0(B) -> v1_xboole_0(A)) -> (all C (v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & v1_funct_7(C) -> (k6_funct_7(C) = A & r1_tarski(k7_funct_7(C),B) <-> m1_funct_7(C,A,B)))))) # label(d9_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6168 (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) <-> k7_relat_1(B,k4_xboole_0(k1_relat_1(B),C)) = k7_relat_1(A,k4_xboole_0(k1_relat_1(A),C)))))))) # label(d2_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6169 (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) -> k4_funct_7(A,k11_finseq_1(B,C,D)) = k5_relat_1(k6_partfun1(A),k5_relat_1(B,k5_relat_1(C,D))))))))) # label(t56_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6170 (all A all B all C all D (m1_finseq_1(B,A) & m1_subset_1(C,k5_numbers) & m1_subset_1(D,A) -> m2_finseq_1(k3_funct_7(A,B,C,D),A))) # label(dt_k3_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6171 (all A all B all C (m1_funct_7(C,A,B) -> v1_funct_7(C) & v1_finseq_1(C) & v1_funct_1(C) & v1_relat_1(C))) # label(dt_m1_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6172 (all A all B all C (v1_funct_1(A) & v1_relat_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].
11.98/11.62	6173 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C all D k1_funct_4(k1_funct_4(A,k2_funcop_1(B,C)),k2_funcop_1(B,D)) = k1_funct_4(A,k2_funcop_1(B,D))))) # label(t16_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6174 (all A k5_funct_7(k1_xboole_0,A) = k9_finseq_1(A)) # label(t42_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6175 (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) -> k4_xboole_0(k1_relat_1(A),C) = k4_xboole_0(k1_relat_1(B),C))))))) # label(t30_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6176 (all A all B (v1_relat_1(B) & v1_funct_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) -> k4_funct_7(A,k10_finseq_1(B,C)) = k5_relat_1(B,C)))))) # label(t54_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6177 (all A (v1_relat_1(A) & v1_funct_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].
11.98/11.62	6178 (all A all B (v1_funct_1(k3_cqc_lang(A,B)) & v1_relat_1(k3_cqc_lang(A,B)) & -v1_xboole_0(k3_cqc_lang(A,B)))) # label(fc1_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6179 (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].
11.98/11.62	6180 (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) -> (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].
11.98/11.62	6181 (all A ((exists B (r2_hidden(f4_s2_funct_7(B),f1_s2_funct_7) & A = f3_s2_funct_7(B) & m1_subset_1(B,f2_s2_funct_7))) <-> r2_hidden(A,a_0_0_funct_7))) # label(fraenkel_a_0_0_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6182 (all A k6_partfun1(A) = k4_funct_7(A,k1_xboole_0)) # label(t41_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6183 (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].
11.98/11.62	6184 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C all D all E (D != E -> k2_funct_7(k2_funct_7(A,E,C),D,B) = k2_funct_7(k2_funct_7(A,D,B),E,C))))) # label(t35_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6185 (all A (-v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_relat_1(A) & v1_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))) & k1_funct_1(A,np__1) = k6_funct_7(B)))))) # label(t68_funct_7) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6186 (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].
11.98/11.62	6187 (all A (v1_funct_1(A) & v1_relat_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].
11.98/11.62	6188 (all A all B all C (m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & l1_struct_0(A) & -v3_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].
11.98/11.62	6189 (all A all B (l1_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) & -v3_struct_0(A) -> k1_struct_0(A,B) = k1_tarski(B))) # label(redefinition_k1_struct_0) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6190 (all A (l2_struct_0(A) -> (v2_struct_0(A) -> g2_struct_0(u1_struct_0(A),u2_struct_0(A)) = A))) # label(abstractness_v2_struct_0) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6191 (all A all B (m1_subset_1(B,A) -> (all C all D (g2_struct_0(C,D) = g2_struct_0(A,B) -> A = C & D = B)))) # label(free_g2_struct_0) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6192 (exists A (l2_struct_0(A) & v2_struct_0(A))) # label(rc2_struct_0) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6193 (all A all B (g1_struct_0(B) = g1_struct_0(A) -> B = A)) # label(free_g1_struct_0) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6194 (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].
11.98/11.62	6195 (all A all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & l1_struct_0(A) & -v3_struct_0(A) -> (exists C m1_struct_0(C,A,B)))) # label(existence_m1_struct_0) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6196 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6197 (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].
11.98/11.62	6198 (all A (l2_struct_0(A) -> l1_struct_0(A))) # label(dt_l2_struct_0) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6199 (all A all B (-v3_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) & l1_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].
11.98/11.62	6200 (exists A l2_struct_0(A)) # label(existence_l2_struct_0) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6201 (exists A (v1_struct_0(A) & l1_struct_0(A))) # label(rc1_struct_0) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6202 (all A all B (-v3_struct_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & l1_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].
11.98/11.62	6203 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6204 (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].
11.98/11.62	6205 (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].
11.98/11.62	6206 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6207 (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) -> k2_struct_0(A,C,B) = k2_struct_0(A,B,C))) # label(commutativity_k2_struct_0) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6208 (exists A (-v3_struct_0(A) & l1_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6209 (exists A (l2_struct_0(A) & -v3_struct_0(A))) # label(rc4_struct_0) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6210 (all A (l1_struct_0(g1_struct_0(A)) & v1_struct_0(g1_struct_0(A)))) # label(dt_g1_struct_0) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	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].
11.98/11.62	6212 (all A (l1_struct_0(A) & -v3_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].
11.98/11.62	6213 (all A all B (l1_struct_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & -v3_struct_0(A) -> (all C (m1_subset_1(C,B) <-> m1_struct_0(C,A,B))))) # label(redefinition_m1_struct_0) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6214 (all A (-v3_struct_0(A) & l1_struct_0(A) -> -v1_xboole_0(u1_struct_0(A)))) # label(fc1_struct_0) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6215 (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,B) = k3_cat_1(A,D) & k4_cat_1(A,C,B) = k4_cat_1(A,D,B) & k3_cat_1(A,C) = k2_cat_1(A,B) & k2_cat_1(A,D) = k2_cat_1(A,C) -> D = C))))) <-> v3_cat_1(B,A)))))) # label(d10_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6216 $T # label(t28_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6217 (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) -> k3_cat_1(A,k4_cat_1(A,B,C)) = k3_cat_1(A,C) & k2_cat_1(A,B) = k2_cat_1(A,k4_cat_1(A,B,C))))))))) # label(t42_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6218 (all A (l1_cat_1(A) -> v1_funct_1(u3_cat_1(A)) & m2_relset_1(u3_cat_1(A),u2_cat_1(A),u1_cat_1(A)) & v1_funct_2(u3_cat_1(A),u2_cat_1(A),u1_cat_1(A)))) # label(dt_u3_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6219 (all A (l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> k5_cat_1(A,B) = k8_funct_2(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B))))) # label(d5_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6220 $T # label(t106_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6221 (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(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(t103_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6222 $T # label(t5_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6223 (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) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> 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)) = 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))))))))))))) # label(t112_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6224 (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)) -> (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].
11.98/11.62	6225 (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),u4_cat_1(A),B) = k3_cat_1(A,B))))) # label(d3_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6226 (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)) -> (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].
11.98/11.62	6227 (all A all B all C all D (v2_cat_1(A) & l1_cat_1(A) & l1_cat_1(B) & m1_subset_1(D,u1_cat_1(A)) & m2_cat_1(C,A,B) & v2_cat_1(B) -> 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].
11.98/11.62	6228 (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].
11.98/11.62	6229 (all A all B (v2_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_cat_1(A)) -> k5_cat_1(A,B) = k10_cat_1(A,B))) # label(redefinition_k10_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6230 (all A (v2_cat_1(A) & l1_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) -> (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)) -> (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)))))))) & (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),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))) & 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))))) & (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))))))))))))) # label(d18_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6231 (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,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) -> F = G | k1_xboole_0 = k6_cat_1(A,E,B)))))))) <-> v3_cat_1(D,A))))))))))) # label(t60_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6232 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (v4_cat_1(B,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) & k3_cat_1(A,B) = k2_cat_1(A,D) & k3_cat_1(A,D) = k3_cat_1(A,C) & k4_cat_1(A,B,D) = k4_cat_1(A,B,C) -> D = C)))))))))) # label(d11_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6233 (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,C) = k2_cat_1(A,B) <-> r2_hidden(k4_tarski(B,C),k1_relat_1(u5_cat_1(A)))))))))) # label(t40_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6234 (all A all B all C all D all E (v2_cat_1(A) & l1_cat_1(A) & 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(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].
11.98/11.62	6235 (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].
11.98/11.62	6236 (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,B) = k5_cat_1(A,C) -> B = C))))))) # label(t45_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6237 $T # label(t119_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6238 (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 (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].
11.98/11.62	6239 (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].
11.98/11.62	6240 (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_subset_1(C,u1_cat_1(A)) -> k1_xboole_0 != k6_cat_1(A,C,B) & (exists D (m1_cat_1(D,A,C,B) & (all E (m1_cat_1(E,A,C,B) -> E = D))))))))))) # label(d15_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6241 (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) -> -((exists E (m1_cat_1(E,A,C,B) & (exists F (k9_cat_1(A,C,B,C,E,D) = k10_cat_1(A,C) & k9_cat_1(A,B,C,B,D,F) = k10_cat_1(A,B) & E != F & m1_cat_1(F,A,C,B))))) & k6_cat_1(A,C,B) != k1_xboole_0 & k6_cat_1(A,B,C) != k1_xboole_0))))))))) # label(t71_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6242 (all A all B all C (k1_relat_1(k1_cat_1(A,B,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)))) # label(t7_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6243 (exists A (v2_cat_1(A) & v1_cat_1(A) & l1_cat_1(A))) # label(rc3_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6244 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_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) -> (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)) -> (all F (m1_subset_1(F,u2_cat_1(A)) -> (k3_cat_1(A,E) = k2_cat_1(A,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)) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k4_cat_1(A,E,F))))))) & (all E (m1_subset_1(E,u2_cat_1(A)) -> k8_funct_2(u1_cat_1(A),u1_cat_1(B),D,k2_cat_1(A,E)) = 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,k3_cat_1(A,E)) = k3_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,E)))) -> m2_cat_1(C,A,B)))))))))) # label(t100_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6245 (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) -> ((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,G) = k9_cat_1(A,B,C,E,D,F) -> k6_cat_1(A,C,E) = k1_xboole_0 | F = G))))))) <-> v4_cat_1(D,A))))))))))) # label(t65_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6246 (all A (l1_cat_1(A) -> -v1_xboole_0(u2_cat_1(A)))) # label(dt_u2_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6247 (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(k2_funct_2(A,D,E,B),C) & r1_tarski(B,A) -> v1_funct_2(k2_partfun1(A,D,E,B),B,C) & m2_relset_1(k2_partfun1(A,D,E,B),B,C) & v1_funct_1(k2_partfun1(A,D,E,B))))))) # label(t4_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6248 (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].
11.98/11.62	6249 (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) -> (k6_cat_1(A,B,C) = k1_tarski(D) -> (all E (m1_cat_1(E,A,B,C) -> E = D))))))))))) # label(t25_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6250 (all A (v2_cat_1(A) & l1_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].
11.98/11.62	6251 $T # label(t3_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6252 (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,C) = k3_cat_1(A,B) & k2_cat_1(A,D) = k3_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))))))))))) # label(t43_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6253 (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) & u2_cat_1(B) = k2_relat_1(C) & u1_cat_1(B) = k2_relat_1(k12_cat_1(A,B,C)) <-> v8_cat_1(C,A,B)))))))) # label(d22_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6254 (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)) -> (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)) -> k13_cat_1(A,B,C,D) = E))))))))))) # label(t107_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6255 (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].
11.98/11.62	6256 (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(E,A) & v4_cat_1(F,A) -> v4_cat_1(k9_cat_1(A,B,C,D,E,F),A) | k1_xboole_0 = k6_cat_1(A,C,D) | k1_xboole_0 = k6_cat_1(A,B,C)))))))))))))) # label(t66_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6257 (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].
11.98/11.62	6258 (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,B,C) -> (v10_cat_1(D,A,B) & v10_cat_1(E,B,C) -> v10_cat_1(k14_cat_1(A,B,C,D,E),A,C)))))))))))) # label(t128_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6259 $T # label(t2_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6260 (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(F,A) & v3_cat_1(E,A) -> k1_xboole_0 = k6_cat_1(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))))))))))))) # label(t61_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6261 (all A all B (v2_cat_1(A) & l1_cat_1(A) & l1_cat_1(B) & v2_cat_1(B) -> (exists C m2_cat_1(C,A,B)))) # label(existence_m2_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6262 (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].
11.98/11.62	6263 (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)) -> (k2_cat_1(A,D) = B & C = k3_cat_1(A,D) <-> r2_hidden(D,k6_cat_1(A,B,C))))))))))) # label(t18_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6264 (all A (l1_cat_1(A) -> -v1_xboole_0(u1_cat_1(A)))) # label(dt_u1_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6265 (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) & k6_cat_1(A,B,C) = k1_tarski(D))))) <-> v7_cat_1(B,A)))))) # label(t82_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6266 (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) | k6_cat_1(A,B,C) = k1_xboole_0))))))))) # label(t73_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6267 $T # label(t49_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6268 (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(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 (v1_funct_2(D,u1_cat_1(A),u1_cat_1(B)) & m2_relset_1(D,u1_cat_1(A),u1_cat_1(B)) & v1_funct_1(D) -> (D = k12_cat_1(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(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(B),u2_cat_1(B),u6_cat_1(B),F) -> k8_funct_2(u1_cat_1(A),u1_cat_1(B),D,E) = F))))))))))))))) # label(d19_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.62	6269 (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,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)) & k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_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(t105_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6270 $T # label(t10_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6271 (all A all B all C (m2_relset_1(k1_cat_1(A,B,C),k2_zfmisc_1(k1_tarski(A),k1_tarski(B)),k1_tarski(C)) & v1_funct_1(k1_cat_1(A,B,C)))) # label(dt_k1_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6272 (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].
11.98/11.63	6273 (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) -> -(k6_cat_1(A,B,C) != k1_xboole_0 & k6_cat_1(A,C,D) != k1_xboole_0 & -r2_hidden(k4_cat_1(A,E,F),k6_cat_1(A,B,D))))))))))))))) # label(t51_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6274 (all A (v2_cat_1(A) & l1_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].
11.98/11.63	6275 (all A all B all C all D all E all F (v2_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_cat_1(A)) & m1_subset_1(C,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_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].
11.98/11.63	6276 (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))) -> k6_cat_1(k8_cat_1(A,B),C,D) != k1_xboole_0)))) # label(t38_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6277 (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) -> k1_xboole_0 = k6_cat_1(A,B,C) | k1_xboole_0 = k6_cat_1(A,C,D) | v3_cat_1(E,A)))))))))))))) # label(t62_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6278 (exists A (v2_cat_1(A) & l1_cat_1(A))) # label(rc2_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6279 (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].
11.98/11.63	6280 $T # label(t30_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6281 (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) -> (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].
11.98/11.63	6282 (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)) -> 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].
11.98/11.63	6283 (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 (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,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)) -> (k2_cat_1(A,E) = k3_cat_1(A,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))))))) -> m2_cat_1(C,A,B)))))))) # label(t96_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6284 $T # label(t114_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6285 (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)) -> (k6_cat_1(A,B,C) != k1_xboole_0 & (exists D ((exists E (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(E,A,C,B))) & m1_cat_1(D,A,B,C))) & k6_cat_1(A,C,B) != k1_xboole_0 <-> r1_cat_1(A,B,C)))))))) # label(t81_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6286 (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,B,C) -> (v9_cat_1(D,A,B) & v9_cat_1(E,B,C) -> v9_cat_1(k14_cat_1(A,B,C,D,E),A,C)))))))))))) # label(t127_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6287 (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)) -> k6_cat_1(B,k13_cat_1(A,B,C,D),k13_cat_1(A,B,C,E)) = k2_relat_1(k16_cat_1(A,B,C,D,E))))))))))))) # label(t132_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6288 (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 -> k1_xboole_0 = k6_cat_1(A,B,C) | B = D & C = E | k1_xboole_0 = k6_cat_1(A,D,E)))))))))))))))) # label(t24_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6289 (all A all B all C all D (l1_cat_1(A) & m1_subset_1(B,u1_cat_1(A)) & m1_cat_1(D,A,B,C) & m1_subset_1(C,u1_cat_1(A)) & v2_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].
11.98/11.63	6290 (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))) -> k1_funct_1(u5_cat_1(A),k4_tarski(C,B)) = k4_cat_1(A,B,C)))))))) # label(d4_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6291 $T # label(t11_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6292 $T # label(t15_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6293 (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) -> k1_xboole_0 = k6_cat_1(A,C,B) | v4_cat_1(D,A) | k1_xboole_0 = k6_cat_1(A,B,C)))))))))))) # label(t68_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6294 (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].
11.98/11.63	6295 (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(C,A) & v6_cat_1(B,A) -> r1_cat_1(A,B,C)))))))) # label(t88_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6296 (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) -> -(r2_tarski(k6_cat_1(A,B,C),k6_cat_1(A,D,E)) & (all G (m1_cat_1(G,A,D,E) -> k1_tarski(G) != k6_cat_1(A,D,E))) & k6_cat_1(A,B,C) = k1_tarski(F)))))))))))))) # label(t27_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6297 (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].
11.98/11.63	6298 (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].
11.98/11.63	6299 (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].
11.98/11.63	6300 $T # label(t94_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6301 (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,B,C) -> D = k9_cat_1(A,B,C,C,D,k10_cat_1(A,C))))))))))) # label(t57_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6302 (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)) -> -(k6_cat_1(A,C,D) != k1_xboole_0 & k1_xboole_0 = k6_cat_1(A,B,D) & k6_cat_1(A,B,C) != k1_xboole_0))))))))) # label(t52_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6303 (all A (l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> k1_xboole_0 != k6_cat_1(A,k2_cat_1(A,B),k3_cat_1(A,B)))))) # label(t19_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6304 $T # label(t121_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6305 (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].
11.98/11.63	6306 (all A all B (v2_cat_1(A) & l1_cat_1(B) & v2_cat_1(B) & l1_cat_1(A) -> (all C (m2_cat_1(C,A,B) -> 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))))) # label(dt_m2_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	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) -> (k6_cat_1(A,B,C) != k1_xboole_0 -> B = k2_cat_1(A,D) & C = k3_cat_1(A,D)))))))))) # label(t23_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6308 $T # label(dt_l1_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6309 (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)) -> (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 & k1_xboole_0 != k6_cat_1(A,D,E)))))))))))) # label(t126_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6310 (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) -> G = H)))))))))))) # label(t39_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6311 (all A (l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> k2_cat_1(A,B) = k8_funct_2(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),B))))) # label(d2_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6312 (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].
11.98/11.63	6313 (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].
11.98/11.63	6314 $T # label(t78_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6315 (all A (l1_cat_1(A) & v2_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].
11.98/11.63	6316 (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(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,D)) = k10_cat_1(B,k13_cat_1(A,B,C,D)))))))))) # label(t108_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6317 (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_cat_1(C,A,B,B) -> C = k10_cat_1(A,B)))))))) # label(t83_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6318 $T # label(t101_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6319 $T # label(t130_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6320 (all A (l1_cat_1(A) & v2_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].
11.98/11.63	6321 (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(C) & m2_cat_1(E,B,C) & m2_cat_1(D,A,B) & v2_cat_1(C) & l1_cat_1(B) -> m2_cat_1(k14_cat_1(A,B,C,D,E),A,C))) # label(dt_k14_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6322 (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) -> v3_cat_1(E,A) | k1_xboole_0 = k6_cat_1(A,C,B) | k1_xboole_0 = k6_cat_1(A,B,C)))))))))))) # label(t63_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6323 $T # label(t20_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6324 (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,C,D) = k1_xboole_0 | v5_cat_1(k9_cat_1(A,B,C,D,E,F),A) | k6_cat_1(A,B,C) = k1_xboole_0))))))))))))) # label(t75_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6325 $T # label(t48_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6326 (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].
11.98/11.63	6327 (all A (l1_cat_1(A) -> (v1_cat_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)) = A))) # label(abstractness_v1_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6328 (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) & k9_cat_1(A,B,C,D,E,F) != k4_cat_1(A,E,F) & k1_xboole_0 != k6_cat_1(A,C,D)))))))))))))) # label(d13_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6329 (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].
11.98/11.63	6330 (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)) -> (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].
11.98/11.63	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(B,k13_cat_1(A,B,C,D),k13_cat_1(A,B,C,E)) != k1_xboole_0 -> (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) & F = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,G)))))))))) <-> v9_cat_1(C,A,B)))))))) # label(d23_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6332 (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].
11.98/11.63	6333 (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 (m1_cat_1(D,A,B,C) & (all E (m1_cat_1(E,A,B,C) -> E = D))))))))))) # label(d16_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6334 $T # label(t79_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6335 (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].
11.98/11.63	6336 (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)) -> 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].
11.98/11.63	6337 (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) -> (all E (m1_cat_1(E,A,C,B) -> (k9_cat_1(A,C,B,C,E,D) = k10_cat_1(A,C) & k10_cat_1(A,B) = k9_cat_1(A,B,C,B,D,E) <-> k11_cat_1(A,B,C,D) = E))) | k6_cat_1(A,B,C) = k1_xboole_0))))))))) # label(d14_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6338 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (v5_cat_1(B,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)) & k3_cat_1(A,C) = k2_cat_1(A,B) & k3_cat_1(A,B) = k2_cat_1(A,C)))))))) # label(d12_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6339 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> k8_funct_2(u2_cat_1(A),u2_cat_1(A),k15_cat_1(A),B) = B)))) # label(t115_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6340 (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,B,C) -> k9_cat_1(A,B,B,C,k10_cat_1(A,B),D) = D))))))))) # label(t58_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6341 (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(B,A) & v7_cat_1(C,A) -> r1_cat_1(A,B,C)))))))) # label(t84_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6342 (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,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))))) -> (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(t102_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6343 (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,u2_cat_1(A)) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> (k3_cat_1(A,D) = k2_cat_1(A,E) -> 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)) & k3_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D)) = k2_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,E))))))))))))) # label(t99_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6344 $T # label(t72_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6345 (all A all B (v1_funct_1(k7_cat_1(A,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)))) # label(dt_k7_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6346 (all A (l1_cat_1(A) -> v1_funct_1(u6_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)))) # label(dt_u6_cat_1) # label(axiom) # label(non_clause).  [assumption].
11.98/11.63	6347 (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) -> k6_cat_1(A,B,C) = k1_xboole_0 | v3_cat_1(D,A)))))))))) # label(t90_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.85	6348 $T # label(t53_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.85	6349 (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)) -> (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),u4_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) & 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)))))) & (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),u4_cat_1(A),C) = k8_funct_2(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),D) -> k1_funct_1(u5_cat_1(A),k4_tarski(k1_funct_1(u5_cat_1(A),k4_tarski(D,C)),B)) = k1_funct_1(u5_cat_1(A),k4_tarski(D,k1_funct_1(u5_cat_1(A),k4_tarski(C,B))))))))))) & (all B (m1_subset_1(B,u1_cat_1(A)) -> 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 & (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),C) = B -> 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)) = C))) & (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 -> 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))) = C))) & 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)) -> (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].
12.22/11.85	6350 $T # label(t6_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.85	6351 (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].
12.22/11.85	6352 (all A all B all C all D (m1_subset_1(C,u1_cat_1(B)) & m1_subset_1(D,u1_cat_1(B)) & l1_cat_1(B) -> (r2_hidden(A,a_3_0_cat_1(B,C,D)) <-> (exists E (A = E & C = k2_cat_1(B,E) & k3_cat_1(B,E) = D & m1_subset_1(E,u2_cat_1(B))))))) # label(fraenkel_a_3_0_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.85	6353 (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)) -> (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].
12.22/11.85	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)) -> (v7_cat_1(B,A) & r1_cat_1(A,B,C) -> v7_cat_1(C,A)))))))) # label(t85_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.85	6355 (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].
12.22/11.85	6356 $T # label(t95_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.85	6357 (all A (l1_cat_1(A) & v2_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].
12.22/11.85	6358 (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) -> (v10_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,F) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,G) -> G = F))))))))))))))))) # label(d24_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6359 (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].
12.22/11.93	6360 (all A (v2_cat_1(A) & l1_cat_1(A) -> m2_cat_1(k15_cat_1(A),A,A))) # label(dt_k15_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6361 (all A all B all C all D all E all F (-v1_xboole_0(B) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_relset_1(E,k2_zfmisc_1(B,B),B) & v1_funct_1(F) & v1_funct_2(F,A,B) & m1_relset_1(F,A,B) & v1_funct_1(E) & m1_relset_1(D,B,A) & m1_relset_1(C,B,A) & v1_funct_2(C,B,A) & v1_funct_1(C) & -v1_xboole_0(A) -> l1_cat_1(g1_cat_1(A,B,C,D,E,F)) & v1_cat_1(g1_cat_1(A,B,C,D,E,F)))) # label(dt_g1_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6362 (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].
12.22/11.93	6363 (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].
12.22/11.93	6364 $T # label(t1_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6365 $T # label(t80_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6366 (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) <-> r2_hidden(k4_tarski(C,B),k1_relat_1(u5_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) -> k3_cat_1(A,C) = k3_cat_1(A,k4_cat_1(A,B,C)) & k2_cat_1(A,B) = k2_cat_1(A,k4_cat_1(A,B,C))))))) & (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,C) = k3_cat_1(A,B) & k2_cat_1(A,D) = k3_cat_1(A,C) -> k4_cat_1(A,B,k4_cat_1(A,C,D)) = k4_cat_1(A,k4_cat_1(A,B,C),D)))))))) & (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)) -> (B = k3_cat_1(A,C) -> k4_cat_1(A,C,k5_cat_1(A,B)) = C))) & (all C (m1_subset_1(C,u2_cat_1(A)) -> (k2_cat_1(A,C) = B -> C = k4_cat_1(A,k5_cat_1(A,B),C)))) & B = k3_cat_1(A,k5_cat_1(A,B)))) -> v2_cat_1(A)))) # label(t29_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6367 $T # label(t13_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6368 (all A all B all C (m1_subset_1(C,u1_cat_1(k8_cat_1(A,B))) -> C = A)) # label(t34_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6369 (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].
12.22/11.93	6370 (exists A l1_cat_1(A)) # label(existence_l1_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6371 (all A all B all C all D (m1_subset_1(D,k1_tarski(A)) -> (all E (m1_subset_1(E,k1_tarski(B)) -> C = k1_funct_1(k1_cat_1(A,B,C),k4_tarski(D,E)))))) # label(t9_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6372 (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].
12.22/11.93	6373 (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].
12.22/11.93	6374 (all A (l1_cat_1(A) & v2_cat_1(A) -> k15_cat_1(A) = k6_partfun1(u2_cat_1(A)))) # label(d21_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6375 (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,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].
12.22/11.93	6376 (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,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))))))))))) # label(t98_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6377 (all A all B (v1_cat_1(k8_cat_1(A,B)) & l1_cat_1(k8_cat_1(A,B)) & v2_cat_1(k8_cat_1(A,B)))) # label(dt_k8_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6378 (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)) -> (m1_cat_1(D,A,B,C) <-> r2_hidden(D,k6_cat_1(A,B,C)))))))))))) # label(d7_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6379 (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_subset_1(C,u1_cat_1(A)) -> (exists D (m1_cat_1(D,A,C,B) & k6_cat_1(A,C,B) = k1_tarski(D)))))))))) # label(t86_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6380 (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].
12.22/11.93	6381 (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].
12.22/11.93	6382 (all A all B (l1_cat_1(A) & m1_subset_1(B,u1_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].
12.22/11.93	6383 $T # label(t120_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6384 (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) -> ((exists E (m1_cat_1(E,A,C,B) & k10_cat_1(A,B) = k9_cat_1(A,B,C,B,D,E) & k10_cat_1(A,C) = k9_cat_1(A,C,B,C,E,D))) & k6_cat_1(A,C,B) != k1_xboole_0 <-> v5_cat_1(D,A))))))))))) # label(t70_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6385 (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].
12.22/11.93	6386 (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].
12.22/11.93	6387 (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)) -> (k1_xboole_0 != k6_cat_1(A,D,E) -> (all F (m1_cat_1(F,A,D,E) -> k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,F) = k1_funct_1(k16_cat_1(A,B,C,D,E),F)))))))))))))) # label(t131_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6388 (all A all B all C (v2_cat_1(A) & l1_cat_1(A) & v2_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)) & l1_cat_1(B) -> m2_relset_1(k12_cat_1(A,B,C),u1_cat_1(A),u1_cat_1(B)) & v1_funct_2(k12_cat_1(A,B,C),u1_cat_1(A),u1_cat_1(B)) & v1_funct_1(k12_cat_1(A,B,C)))) # label(dt_k12_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6389 (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].
12.22/11.93	6390 $T # label(t12_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6391 (exists A (v1_cat_1(A) & l1_cat_1(A))) # label(rc1_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6392 $T # label(t17_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6393 (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) <-> (exists D (m1_cat_1(D,A,B,C) & v5_cat_1(D,A))) & k1_xboole_0 != k6_cat_1(A,B,C)))))))) # label(d17_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6394 (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)) -> (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) -> -(k1_xboole_0 != k6_cat_1(A,B,C) & k1_xboole_0 != k6_cat_1(A,C,D) & k6_cat_1(A,D,E) != k1_xboole_0 & 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))))))))))))))))))) # label(t54_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6395 (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)) -> k1_xboole_0 = k6_cat_1(A,B,C) | k1_tarski(D) = k6_cat_1(A,B,C)))))))))) # label(t26_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6396 (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].
12.22/11.93	6397 $T # label(t31_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6398 (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(C,A,B) & m1_subset_1(E,u1_cat_1(A)) & m1_subset_1(D,u1_cat_1(A)) & l1_cat_1(B) -> v1_funct_1(k16_cat_1(A,B,C,D,E)) & 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))))) # label(dt_k16_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6399 $T # label(t16_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6400 $T # label(t50_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6401 (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(k9_cat_1(A,B,C,D,E,F),A) -> k1_xboole_0 = k6_cat_1(A,B,C) | k1_xboole_0 = k6_cat_1(A,C,D) | v4_cat_1(F,A)))))))))))))) # label(t67_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6402 (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(E,A) & v5_cat_1(F,A) -> k9_cat_1(A,D,C,B,k11_cat_1(A,C,D,F),k11_cat_1(A,B,C,E)) = k11_cat_1(A,B,D,k9_cat_1(A,B,C,D,E,F)) | k1_xboole_0 = k6_cat_1(A,C,D) | k6_cat_1(A,B,C) = k1_xboole_0))))))))))))) # label(t77_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6403 (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].
12.22/11.93	6404 (all A all B all C all D all E all F (-v1_xboole_0(B) & 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_funct_1(C) & -v1_xboole_0(A) -> (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) -> B = H & D = J & L = F & K = E & C = I & G = A)))) # label(free_g1_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	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,u2_cat_1(A)) -> (k2_cat_1(A,C) = B -> k4_cat_1(A,k5_cat_1(A,B),C) = C))))))) # label(t47_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6406 (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) | k6_cat_1(A,B,C) = k1_xboole_0))))))))) # label(t76_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6407 $T # label(t14_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6408 (all A (l1_cat_1(A) -> v1_funct_1(u4_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)))) # label(dt_u4_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6409 (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].
12.22/11.93	6410 (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)) -> k2_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D)) = k13_cat_1(A,B,C,k2_cat_1(A,D)) & k3_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)))))))))) # label(t109_cat_1) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6411 (exists A (l3_lattices(A) & v3_lattices(A))) # label(rc3_lattices) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6412 $T # label(t14_lattices) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6413 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v14_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].
12.22/11.93	6414 (all A (-v3_struct_0(A) & v6_lattices(A) & l3_lattices(A) & v8_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].
12.22/11.93	6415 (all A all B (-v1_xboole_0(A) & 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_lattices(g1_lattices(A,B)) & -v3_struct_0(g1_lattices(A,B)))) # label(fc2_lattices) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6416 $T # label(t20_lattices) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6417 (all A all B all C (-v3_struct_0(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v9_lattices(A) & v8_lattices(A) & v6_lattices(A) -> r3_lattices(A,B,B))) # label(reflexivity_r3_lattices) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6418 (exists A (l3_lattices(A) & -v3_struct_0(A) & v3_lattices(A))) # label(rc6_lattices) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6419 (all A all B all C (m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l1_lattices(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].
12.22/11.93	6420 $T # label(t42_lattices) # label(axiom) # label(non_clause).  [assumption].
12.22/11.93	6421 (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)) -> 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].
12.22/11.93	6422 (all A all B (-v1_xboole_0(A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(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].
12.22/11.93	6423 (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].
12.22/11.93	6424 (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].
12.22/11.94	6425 (all A (l2_lattices(A) -> l1_struct_0(A))) # label(dt_l2_lattices) # label(axiom) # label(non_clause).  [assumption].
12.22/11.94	6426 (all A all B all C (m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,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].
12.22/11.94	6427 $T # label(t16_lattices) # label(axiom) # label(non_clause).  [assumption].
12.22/11.94	6428 (all A (-v3_struct_0(A) & l2_lattices(A) -> (v14_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> B = k1_lattices(A,C,B) & B = k1_lattices(A,B,C))) <-> B = k6_lattices(A))))))) # label(d17_lattices) # label(axiom) # label(non_clause).  [assumption].
12.22/11.94	6429 $T # label(t7_lattices) # label(axiom) # label(non_clause).  [assumption].
12.22/11.94	6430 (all A (l3_lattices(A) & -v3_struct_0(A) -> (v12_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) -> k1_lattices(A,B,k2_lattices(A,C,D)) = k2_lattices(A,k1_lattices(A,B,C),D))))))))))) # label(d12_lattices) # label(axiom) # label(non_clause).  [assumption].
12.22/11.94	6431 (all A all B all C (v6_lattices(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l3_lattices(A) & v9_lattices(A) & v8_lattices(A) & -v3_struct_0(A) -> (r3_lattices(A,B,C) <-> r1_lattices(A,B,C)))) # label(redefinition_r3_lattices) # label(axiom) # label(non_clause).  [assumption].
12.22/11.94	6432 (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) -> (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].
12.22/11.94	6433 (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)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k2_lattices(A,B,k2_lattices(A,C,D)) = k2_lattices(A,k2_lattices(A,B,C),D))))))) <-> v7_lattices(A)))) # label(d7_lattices) # label(axiom) # label(non_clause).  [assumption].
12.22/11.94	6434 $T # label(t24_lattices) # label(axiom) # label(non_clause).  [assumption].
12.22/11.94	6435 (all A (-v3_struct_0(A) & l1_lattices(A) -> (v13_lattices(A) <-> (exists B (m1_subset_1(B,u1_struct_0(A)) & (all C (m1_subset_1(C,u1_struct_0(A)) -> B = k2_lattices(A,B,C) & B = k2_lattices(A,C,B)))))))) # label(d13_lattices) # label(axiom) # label(non_clause).  [assumption].
12.22/11.94	6436 (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)) -> (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].
12.22/11.94	6437 (exists A (v3_lattices(A) & v5_lattices(A) & v7_lattices(A) & v9_lattices(A) & v10_lattices(A) & v15_lattices(A) & v14_lattices(A) & v13_lattices(A) & v8_lattices(A) & v6_lattices(A) & v4_lattices(A) & -v3_struct_0(A) & l3_lattices(A))) # label(rc11_lattices) # label(axiom) # label(non_clause).  [assumption].
12.22/11.94	6438 (all A all B all C (-v1_xboole_0(A) & 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_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> v3_lattices(g3_lattices(A,B,C)) & -v3_struct_0(g3_lattices(A,B,C)))) # label(fc3_lattices) # label(axiom) # label(non_clause).  [assumption].
12.22/11.94	6439 $T # label(t11_lattices) # label(axiom) # label(non_clause).  [assumption].
12.22/11.94	6440 (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].
12.22/11.94	6441 (exists A (l3_lattices(A) & v3_lattices(A) & v5_lattices(A) & v7_lattices(A) & v8_lattices(A) & v14_lattices(A) & v16_lattices(A) & v15_lattices(A) & v13_lattices(A) & v10_lattices(A) & v9_lattices(A) & v6_lattices(A) & v4_lattices(A) & -v3_struct_0(A))) # label(rc12_lattices) # label(axiom) # label(non_clause).  [assumption].
12.22/11.94	6442 $T # label(t6_lattices) # label(axiom) # label(non_clause).  [assumption].
12.22/11.94	6443 (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) -> l2_lattices(g2_lattices(A,B)) & v2_lattices(g2_lattices(A,B)))) # label(dt_g2_lattices) # label(axiom) # label(non_clause).  [assumption].
12.22/11.94	6444 (all A (v14_lattices(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(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].
12.22/11.94	6445 (all A all B all C (v6_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & l1_lattices(A) & -v3_struct_0(A) -> k4_lattices(A,B,C) = k2_lattices(A,B,C))) # label(redefinition_k4_lattices) # label(axiom) # label(non_clause).  [assumption].
12.22/11.94	6446 (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) = k1_lattices(A,C,B))))) <-> v4_lattices(A)))) # label(d4_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6447 $T # label(t1_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6448 $T # label(t2_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6449 (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)) -> k3_lattices(A,k7_lattices(A,B),k7_lattices(A,C)) = k7_lattices(A,k4_lattices(A,B,C)))))))) # label(t50_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6450 (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_lattices(g1_lattices(A,B)) & l1_lattices(g1_lattices(A,B)))) # label(dt_g1_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6451 (all A all B all C (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_2(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].
12.31/11.94	6452 (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,k7_lattices(A,C)) <-> k5_lattices(A) = k4_lattices(A,B,C)))))))) # label(t52_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6453 (all A (l2_lattices(A) -> (v2_lattices(A) -> A = g2_lattices(u1_struct_0(A),u2_lattices(A))))) # label(abstractness_v2_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6454 (all A (l3_lattices(A) & v9_lattices(A) & v8_lattices(A) & v6_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k1_lattices(A,B,B) = B)))) # label(t17_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6455 (all A (-v3_struct_0(A) & l2_lattices(A) -> m1_subset_1(k6_lattices(A),u1_struct_0(A)))) # label(dt_k6_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6456 (all A all B all C (-v3_struct_0(A) & v6_lattices(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l1_lattices(A) -> k4_lattices(A,B,C) = k4_lattices(A,C,B))) # label(commutativity_k4_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6457 (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)) -> 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].
12.31/11.94	6458 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v15_lattices(A) -> v14_lattices(A) & v13_lattices(A) & -v3_struct_0(A)))) # label(cc4_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6459 $T # label(t13_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6460 $T # label(t3_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6461 (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)) -> (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].
12.31/11.94	6462 (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) <-> k6_lattices(A) = k1_lattices(A,B,C) & k1_lattices(A,C,B) = k6_lattices(A) & k5_lattices(A) = k2_lattices(A,B,C) & k2_lattices(A,C,B) = k5_lattices(A)))))))) # label(d18_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6463 (all A (l3_lattices(A) -> l1_lattices(A) & l2_lattices(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6464 (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].
12.31/11.94	6465 (exists A (l2_lattices(A) & v2_lattices(A) & -v3_struct_0(A))) # label(rc4_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6466 (all A (l2_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)) -> k1_lattices(A,k1_lattices(A,B,C),D) = k1_lattices(A,B,k1_lattices(A,C,D)))))))) <-> v5_lattices(A)))) # label(d5_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6467 (all A all B (-v3_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) & l3_lattices(A) -> m1_subset_1(k7_lattices(A,B),u1_struct_0(A)))) # label(dt_k7_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6468 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v10_lattices(A) & v11_lattices(A) -> v4_lattices(A) & v5_lattices(A) & v7_lattices(A) & v12_lattices(A) & v10_lattices(A) & v9_lattices(A) & v8_lattices(A) & v6_lattices(A) & -v3_struct_0(A)))) # label(cc7_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6469 (exists A l1_lattices(A)) # label(existence_l1_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6470 (all A (v8_lattices(A) & v9_lattices(A) & l3_lattices(A) & v7_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].
12.31/11.94	6471 (all A (-v3_struct_0(A) & v10_lattices(A) & v11_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,k3_lattices(A,k4_lattices(A,B,C),k4_lattices(A,C,D)),k4_lattices(A,D,B)) = k4_lattices(A,k4_lattices(A,k3_lattices(A,B,C),k3_lattices(A,C,D)),k3_lattices(A,D,B)))))))))) # label(t34_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6472 (exists A (v1_lattices(A) & -v3_struct_0(A) & l1_lattices(A))) # label(rc5_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6473 (all A (l2_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)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r1_lattices(A,B,C) & r1_lattices(A,C,D) -> r1_lattices(A,B,D)))))))))) # label(t25_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6474 $T # label(t5_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6475 (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)) -> r3_lattices(A,k5_lattices(A),B))))) # label(t41_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6476 (all A (v10_lattices(A) & v14_lattices(A) & l3_lattices(A) & -v3_struct_0(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].
12.31/11.94	6477 (all A (l3_lattices(A) & v9_lattices(A) & v8_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].
12.31/11.94	6478 (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)) -> k2_lattices(A,B,k1_lattices(A,B,C)) = B)))) <-> v9_lattices(A)))) # label(d9_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6479 $T # label(t33_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6480 (all A (l2_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,C) <-> C = k1_lattices(A,B,C)))))))) # label(d3_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6481 $T # label(t10_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6482 $T # label(t46_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6483 (all A (l1_lattices(A) -> v1_funct_1(u1_lattices(A)) & m2_relset_1(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)))) # label(dt_u1_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6484 (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_lattices(A) -> m1_subset_1(k2_lattices(A,B,C),u1_struct_0(A)))) # label(dt_k2_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6485 (all A (l3_lattices(A) & v9_lattices(A) & v8_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,C) <-> B = k2_lattices(A,B,C)))))))) # label(t21_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6486 (exists A (-v3_struct_0(A) & v2_lattices(A) & v4_lattices(A) & v5_lattices(A) & l2_lattices(A))) # label(rc7_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6487 $T # label(t15_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6488 (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)) -> k4_lattices(A,k3_lattices(A,B,C),k3_lattices(A,B,D)) = k3_lattices(A,B,k4_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)) -> k3_lattices(A,k4_lattices(A,B,C),k4_lattices(A,B,D)) = k4_lattices(A,B,k3_lattices(A,C,D))))))))))) # label(t19_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6489 (all A (-v3_struct_0(A) & l3_lattices(A) -> (v11_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,k2_lattices(A,B,C),k2_lattices(A,B,D)) = k2_lattices(A,B,k1_lattices(A,C,D))))))))))) # label(d11_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6490 (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)) -> C = k1_lattices(A,k2_lattices(A,B,C),C))))) <-> v8_lattices(A)))) # label(d8_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6491 (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)) -> k2_lattices(A,B,C) = B & k2_lattices(A,C,B) = B)))))))) # label(d16_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6492 (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)) -> B = k7_lattices(A,k7_lattices(A,B)))))) # label(t49_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6493 (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)) & l2_lattices(A) -> m1_subset_1(k1_lattices(A,B,C),u1_struct_0(A)))) # label(dt_k1_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6494 (all A (l1_lattices(A) -> l1_struct_0(A))) # label(dt_l1_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6495 (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)) & v4_lattices(A) -> k1_lattices(A,B,C) = k3_lattices(A,B,C))) # label(redefinition_k3_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6496 (exists A l3_lattices(A)) # label(existence_l3_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6497 $T # label(t30_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6498 (all A (-v3_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(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].
12.31/11.94	6499 (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].
12.31/11.94	6500 (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) -> (all C all D (g2_lattices(C,D) = g2_lattices(A,B) -> B = D & A = C)))) # label(free_g2_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6501 (all A (l3_lattices(A) & -v3_struct_0(A) -> (v16_lattices(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (exists C (r2_lattices(A,C,B) & m1_subset_1(C,u1_struct_0(A))))))))) # label(d19_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6502 $T # label(t36_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6503 (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].
12.31/11.94	6504 (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)) -> k5_lattices(A) = k4_lattices(A,k7_lattices(A,B),B))))) # label(t47_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6505 (exists A (l3_lattices(A) & -v3_struct_0(A) & v4_lattices(A) & v7_lattices(A) & v10_lattices(A) & v9_lattices(A) & v8_lattices(A) & v6_lattices(A) & v5_lattices(A) & v3_lattices(A))) # label(rc9_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6506 (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)) -> k3_lattices(A,k3_lattices(A,k4_lattices(A,B,C),k4_lattices(A,C,D)),k4_lattices(A,D,B)) = k4_lattices(A,k4_lattices(A,k3_lattices(A,B,C),k3_lattices(A,C,D)),k3_lattices(A,D,B)))))))) -> v11_lattices(A)))) # label(t29_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6507 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v15_lattices(A) & v16_lattices(A) & v11_lattices(A) -> -v3_struct_0(A) & v17_lattices(A)))) # label(cc6_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6508 (all A (l3_lattices(A) -> (v10_lattices(A) & -v3_struct_0(A) -> -v3_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v7_lattices(A) & v9_lattices(A) & v8_lattices(A) & v6_lattices(A)))) # label(cc1_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6509 $T # label(t4_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6510 (all A (l3_lattices(A) -> (v17_lattices(A) & -v3_struct_0(A) -> -v3_struct_0(A) & v13_lattices(A) & v16_lattices(A) & v15_lattices(A) & v14_lattices(A) & v11_lattices(A)))) # label(cc5_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6511 (all A (l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (-v3_struct_0(A) & l3_lattices(A) & v16_lattices(A) & v11_lattices(A) & v10_lattices(A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_lattices(A,C,B) <-> C = k7_lattices(A,B))))))))) # label(d21_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6512 (exists A (v2_lattices(A) & l2_lattices(A))) # label(rc2_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6513 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v11_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].
12.31/11.94	6514 $T # label(t9_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6515 (all A (l3_lattices(A) -> (v14_lattices(A) & v13_lattices(A) & -v3_struct_0(A) -> v15_lattices(A) & -v3_struct_0(A)))) # label(cc3_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6516 (exists A (v3_lattices(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v8_lattices(A) & v12_lattices(A) & v13_lattices(A) & v14_lattices(A) & v11_lattices(A) & v10_lattices(A) & v9_lattices(A) & v7_lattices(A) & -v3_struct_0(A) & l3_lattices(A))) # label(rc10_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6517 (all A (l3_lattices(A) & -v3_struct_0(A) -> (v10_lattices(A) <-> v4_lattices(A) & v8_lattices(A) & v7_lattices(A) & v9_lattices(A) & v6_lattices(A) & v5_lattices(A)))) # label(d10_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6518 $T # label(t28_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6519 (all A (l2_lattices(A) -> v1_funct_1(u2_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)))) # label(dt_u2_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6520 (all A (-v3_struct_0(A) & l2_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,C,B) = B & B = k1_lattices(A,B,C))))) <-> v14_lattices(A)))) # label(d14_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6521 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) -> -v3_struct_0(A) & v10_lattices(A)))) # label(cc2_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6522 $T # label(t37_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6523 (exists A (l1_lattices(A) & v6_lattices(A) & v7_lattices(A) & v1_lattices(A) & -v3_struct_0(A))) # label(rc8_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6524 (all A (v6_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)) -> B = k4_lattices(A,B,B))))) # label(t18_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6525 (all A all B all C (-v3_struct_0(A) & l2_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v4_lattices(A) -> m1_subset_1(k3_lattices(A,B,C),u1_struct_0(A)))) # label(dt_k3_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6526 (exists A (v1_lattices(A) & l1_lattices(A))) # label(rc1_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6527 (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].
12.31/11.94	6528 (exists A l2_lattices(A)) # label(existence_l2_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6529 $T # label(t8_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6530 $T # label(t35_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6531 (exists A (-v3_struct_0(A) & v6_lattices(A) & v7_lattices(A) & v10_lattices(A) & v14_lattices(A) & v15_lattices(A) & v17_lattices(A) & v16_lattices(A) & v13_lattices(A) & v11_lattices(A) & v9_lattices(A) & v8_lattices(A) & v5_lattices(A) & v4_lattices(A) & v3_lattices(A) & l3_lattices(A))) # label(rc13_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6532 (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)) -> k3_lattices(A,k7_lattices(A,B),B) = k6_lattices(A))))) # label(t48_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6533 $T # label(t38_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6534 (all A all B all C (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) -> (all D all E all F (g3_lattices(A,B,C) = g3_lattices(D,E,F) -> B = E & F = C & A = D)))) # label(free_g3_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6535 (all A (v4_lattices(A) & l2_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,C,B) & r1_lattices(A,B,C) -> B = C))))))) # label(t26_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6536 $T # label(t12_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6537 (all A (-v3_struct_0(A) & l3_lattices(A) -> (v11_lattices(A) & v16_lattices(A) & v15_lattices(A) <-> v17_lattices(A)))) # label(d20_lattices) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6538 (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))) -> (C = k6_subset_1(u1_struct_0(A),k2_pre_topc(A),B) -> k4_subset_1(u1_struct_0(A),B,C) = k2_pre_topc(A)))))))) # label(t24_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6539 (all A all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(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].
12.31/11.94	6540 (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))) -> (D = C -> 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].
12.31/11.94	6541 $T # label(t10_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6542 (all A (l1_struct_0(A) -> k1_xboole_0 = k1_pre_topc(A))) # label(d2_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6543 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (v1_pre_topc(C) & m1_pre_topc(C,A) -> (C = k3_pre_topc(A,B) <-> k2_pre_topc(C) = B))))))) # label(d10_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6544 (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].
12.31/11.94	6545 (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 & A = C)))) # label(free_g1_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6546 (all A all B all C all D (l1_struct_0(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)) & v1_funct_1(C) & l1_struct_0(A) -> 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].
12.31/11.94	6547 $T # label(t29_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6548 (all A all B all C all D (l1_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)) & 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].
12.31/11.94	6549 (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].
12.31/11.94	6550 $T # label(d4_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6551 (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))) -> (k6_pre_topc(A,B) = C <-> (all D (r2_hidden(D,u1_struct_0(A)) -> (r2_hidden(D,C) <-> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(E,A) & r2_hidden(D,E) & r1_xboole_0(B,E)))))))))))))) # label(d13_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6552 (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].
12.31/11.94	6553 (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].
12.31/11.94	6554 $T # label(t26_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6555 $T # label(t30_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6556 $T # label(t2_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6557 (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))) -> 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].
12.31/11.94	6558 (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)))) -> ((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].
12.31/11.94	6559 (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].
12.31/11.94	6560 (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))) & k1_pre_topc(A) != B))))) # label(t41_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6561 (all A (l1_pre_topc(A) -> (r2_hidden(u1_struct_0(A),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))))))) & (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))))) <-> v2_pre_topc(A)))) # label(d1_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6562 $T # label(t8_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6563 $T # label(t3_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6564 (exists A l1_pre_topc(A)) # label(existence_l1_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6565 $T # label(t38_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6566 $T # label(t40_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6567 (all A all B all C all D (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) & 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].
12.31/11.94	6568 $T # label(t11_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6569 (all A (l1_pre_topc(A) -> (exists B (m1_pre_topc(B,A) & v1_pre_topc(B))))) # label(rc3_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6570 (all A all B (-v3_struct_0(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(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].
12.31/11.94	6571 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (exists B (v1_pre_topc(B) & v2_pre_topc(B) & m1_pre_topc(B,A))))) # label(rc5_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6572 $T # label(t19_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6573 $T # label(t33_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6574 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v2_pre_topc(A) & B = k6_pre_topc(A,B) -> v4_pre_topc(B,A)) & (v4_pre_topc(B,A) -> B = k6_pre_topc(A,B)))))) # label(t52_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6575 (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].
12.31/11.94	6576 (all A (l1_struct_0(A) -> u1_struct_0(A) = k2_pre_topc(A))) # label(d3_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6577 (all A (l1_pre_topc(A) -> l1_struct_0(A))) # label(dt_l1_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6578 $T # label(d7_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6579 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(B,u1_pre_topc(A)) <-> v3_pre_topc(B,A)))))) # label(d5_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6580 (all A (l1_pre_topc(A) -> (exists B m1_pre_topc(B,A)))) # label(existence_m1_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6581 (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].
12.31/11.94	6582 $T # label(t7_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6583 (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].
12.31/11.94	6584 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v2_pre_topc(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)) -> v3_pre_topc(B,A)) & (v3_pre_topc(B,A) -> 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)))))) # label(t53_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6585 (all A (l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(B = k2_pre_topc(A) & k1_xboole_0 != k6_subset_1(u1_struct_0(A),k2_pre_topc(A),B)) & -(k2_pre_topc(A) != B & k1_xboole_0 = k6_subset_1(u1_struct_0(A),k2_pre_topc(A),B)))))) # label(t23_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6586 $T # label(t20_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6587 (all A (l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> B = k6_subset_1(u1_struct_0(A),k2_pre_topc(A),k6_subset_1(u1_struct_0(A),k2_pre_topc(A),B)))))) # label(t22_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6588 (all A all B all C all D (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_struct_0(B) & l1_struct_0(A) -> k5_pre_topc(A,B,C,D) = k10_relat_1(C,D))) # label(redefinition_k5_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6589 (all A (l1_struct_0(A) & -v3_struct_0(A) -> -v1_xboole_0(k2_pre_topc(A)))) # label(fc2_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6590 $T # label(t6_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6591 $T # label(t34_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6592 $T # label(t32_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6593 (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].
12.31/11.94	6594 $T # label(t31_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6595 (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))) -> (v4_pre_topc(C,B) <-> (exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & C = k3_xboole_0(D,k2_pre_topc(B)) & v4_pre_topc(D,A)))))))))) # label(t43_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6596 $T # label(t35_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6597 (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)) -> ((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)))) <-> r2_hidden(C,k6_pre_topc(A,B))))))))) # label(t45_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6598 $T # label(t28_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6599 (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].
12.31/11.94	6600 $T # label(t1_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6601 (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))) -> (k4_subset_1(u1_struct_0(A),B,C) = k2_pre_topc(A) & r1_xboole_0(B,C) -> k6_subset_1(u1_struct_0(A),k2_pre_topc(A),B) = C))))))) # label(t25_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6602 (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].
12.31/11.94	6603 (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 (r2_hidden(D,u1_pre_topc(A)) & k3_xboole_0(D,k2_pre_topc(B)) = C & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))))))))))))) # label(d9_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6604 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> v4_pre_topc(k2_pre_topc(A),A))) # label(fc5_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6605 (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].
12.31/11.94	6606 $T # label(t9_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6607 (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].
12.31/11.94	6608 (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].
12.31/11.94	6609 $T # label(t4_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6610 (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].
12.31/11.94	6611 $T # label(t37_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6612 $T # label(t36_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6613 (all A all B (v2_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(A) -> v2_pre_topc(k3_pre_topc(A,B)) & v1_pre_topc(k3_pre_topc(A,B)))) # label(fc4_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6614 (exists A (l1_pre_topc(A) & v1_pre_topc(A))) # label(rc1_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6615 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (exists B (-v1_xboole_0(B) & v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(rc7_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6616 (all A all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(A) -> v1_pre_topc(k3_pre_topc(A,B)) & m1_pre_topc(k3_pre_topc(A,B),A))) # label(dt_k3_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6617 (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].
12.31/11.94	6618 (all A (l1_struct_0(A) -> k2_pre_topc(A) = u1_struct_0(A))) # label(t12_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6619 $T # label(d11_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6620 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (exists C ((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(D,A) & r1_tarski(B,D) <-> r2_hidden(D,C)))) & k6_setfam_1(u1_struct_0(A),C) = k6_pre_topc(A,B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))))))) # label(t46_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6621 (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)) -> (-v3_struct_0(A) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(D,A) & r2_hidden(C,D) & r1_xboole_0(B,D)))) <-> r2_hidden(C,k6_pre_topc(A,B))))))))) # label(t54_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6622 (all A (l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (k5_setfam_1(u1_struct_0(A),B) = k2_pre_topc(A) <-> r1_pre_topc(A,B)))))) # label(d8_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6623 (all A (l1_pre_topc(A) -> (v1_pre_topc(A) -> A = g1_pre_topc(u1_struct_0(A),u1_pre_topc(A))))) # label(abstractness_v1_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6624 (all A (l1_struct_0(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)) & v1_xboole_0(k1_pre_topc(A)))) # label(fc1_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6625 (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].
12.31/11.94	6626 $T # label(t21_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.94	6627 (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].
12.31/11.95	6628 (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].
12.31/11.95	6629 (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].
12.31/11.95	6630 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (exists B (m1_pre_topc(B,A) & -v3_struct_0(B) & v1_pre_topc(B))))) # label(rc4_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6631 (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].
12.31/11.95	6632 (all A (l1_pre_topc(A) -> (all 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)) -> ((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)))) <-> v5_pre_topc(C,A,B)))))))) # label(d12_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6633 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v4_pre_topc(B,A))))) # label(rc6_pre_topc) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6634 (all A (v2_pre_topc(A) & l1_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].
12.31/11.95	6635 (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].
12.31/11.95	6636 (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].
12.31/11.95	6637 (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))) -> 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].
12.31/11.95	6638 $T # label(t14_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6639 $T # label(t23_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6640 $T # label(t60_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6641 $T # label(t24_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6642 (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].
12.31/11.95	6643 (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].
12.31/11.95	6644 (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].
12.31/11.95	6645 (all A all B (v3_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(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].
12.31/11.95	6646 (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),B,k2_tops_1(A,B)) = k6_pre_topc(A,B))))) # label(t65_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6647 (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].
12.31/11.95	6648 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k2_tops_1(A,k2_tops_1(A,B)) = k2_tops_1(A,k2_tops_1(A,k2_tops_1(A,B))))))) # label(t75_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6649 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> k1_tops_1(A,k2_pre_topc(A)) = k2_pre_topc(A))) # label(t43_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6650 $T # label(t17_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6651 (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].
12.31/11.95	6652 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> v3_pre_topc(k1_pre_topc(A),A))) # label(t52_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6653 (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].
12.31/11.95	6654 (all A (l1_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_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].
12.31/11.95	6655 $T # label(t15_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6656 $T # label(t28_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6657 (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].
12.31/11.95	6658 (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) & v3_pre_topc(C,A) -> v3_pre_topc(k5_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t38_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6659 (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].
12.31/11.95	6660 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tops_1(k3_subset_1(u1_struct_0(A),B),A) <-> v2_tops_1(B,A)))))) # label(d4_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6661 (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].
12.31/11.95	6662 $T # label(t33_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6663 (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)) -> ((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(B,D) & -r1_xboole_0(k3_subset_1(u1_struct_0(A),B),D)))) <-> r2_hidden(C,k2_tops_1(A,B))))))))) # label(t61_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6664 (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].
12.31/11.95	6665 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (exists B (v3_pre_topc(B,A) & v4_pre_topc(B,A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(rc3_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6666 $T # label(t4_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6667 (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))) -> k1_tops_1(A,k5_subset_1(u1_struct_0(A),B,C)) = k5_subset_1(u1_struct_0(A),k1_tops_1(A,B),k1_tops_1(A,C)))))))) # label(t46_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6668 $T # label(t5_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6669 $T # label(t1_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6670 (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].
12.31/11.95	6671 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v2_tops_1(B,A) <-> k1_tops_1(A,B) = k1_xboole_0))))) # label(t84_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6672 $T # label(t83_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6673 (all A all B (v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> v3_pre_topc(k1_tops_1(A,B),A))) # label(fc6_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6674 $T # label(t10_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6675 (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_tops_1(A,k1_tops_1(A,B)))))) # label(t45_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6676 $T # label(t7_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6677 $T # label(t9_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6678 (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].
12.31/11.95	6679 (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].
12.31/11.95	6680 (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(B,A) & v4_pre_topc(C,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].
12.31/11.95	6681 (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_tops_1(B,A) <-> k2_tops_1(A,B) = B)))))) # label(t94_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6682 $T # label(t99_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6683 (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))) & v3_pre_topc(D,A) & r2_hidden(C,D) & r1_tarski(D,B)))))))))) # label(t57_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6684 (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].
12.31/11.95	6685 (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].
12.31/11.95	6686 (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].
12.31/11.95	6687 (all A all B (l1_pre_topc(A) & v2_tops_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> v1_xboole_0(k1_tops_1(A,B)) & v1_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) & v2_membered(k1_tops_1(A,B)))) # label(fc10_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6688 (all A all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(A) & v2_pre_topc(A) -> v4_pre_topc(k6_pre_topc(A,B),A))) # label(fc2_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6689 (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,k1_tops_1(A,k6_pre_topc(A,B))) = k6_pre_topc(A,B)))))) # label(t59_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6690 (all A (v2_pre_topc(A) & l1_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))) & r1_tarski(D,C) & r2_hidden(B,D) & v3_pre_topc(D,A)))))))) # label(t54_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6691 (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].
12.31/11.95	6692 (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(C,B) & v3_pre_topc(C,A) -> k1_xboole_0 = C))) <-> v2_tops_1(B,A)))))) # label(t86_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6693 $T # label(t12_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6694 (all A all B (v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(A) & v2_pre_topc(A) -> v2_tops_1(k2_tops_1(A,B),A) & v3_tops_1(k2_tops_1(A,B),A))) # label(fc13_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6695 (all A (v2_pre_topc(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) & v2_tops_1(B,A)))))) # label(cc5_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6696 $T # label(t19_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6697 (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].
12.31/11.95	6698 (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].
12.31/11.95	6699 $T # label(t100_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6700 (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) <-> k2_tops_1(A,B) = k6_subset_1(u1_struct_0(A),k6_pre_topc(A,B),B)))))) # label(t76_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6701 (all A all B (v2_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v4_pre_topc(B,A) & l1_pre_topc(A) -> v3_pre_topc(k3_subset_1(u1_struct_0(A),B),A))) # label(fc3_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6702 (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].
12.31/11.95	6703 (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].
12.31/11.95	6704 (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].
12.31/11.95	6705 (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(k4_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t37_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6706 (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].
12.31/11.95	6707 (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) & r1_xboole_0(B,C) & k1_xboole_0 != C)))))))) # label(t80_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6708 (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))) -> (v6_tops_1(C,A) -> v3_pre_topc(C,A) & v4_tops_1(C,A)) & (v4_tops_1(D,B) & v3_pre_topc(D,B) -> v6_tops_1(D,B)))))))))) # label(t107_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6709 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tops_1(B,A) <-> k2_pre_topc(A) = k6_pre_topc(A,B)))))) # label(d3_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6710 (all A (l1_struct_0(A) -> k1_pre_topc(A) = k3_subset_1(u1_struct_0(A),k2_pre_topc(A)))) # label(t8_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6711 (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))) -> (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].
12.31/11.95	6712 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> v1_xboole_0(k1_pre_topc(A)) & v1_membered(k1_pre_topc(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)) & v4_pre_topc(k1_pre_topc(A),A))) # label(fc1_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6713 (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].
12.31/11.95	6714 (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_tops_1(C,A) & v3_tops_1(B,A) -> v3_tops_1(k4_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t90_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6715 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v6_tops_1(B,A) -> k6_subset_1(u1_struct_0(A),k6_pre_topc(A,B),B) = k2_tops_1(A,k6_pre_topc(A,B)) & k2_tops_1(A,k6_pre_topc(A,B)) = k2_tops_1(A,B)))))) # label(t104_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6716 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k2_tops_1(A,B) = k2_tops_1(A,k3_subset_1(u1_struct_0(A),B)))))) # label(t62_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6717 (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),B) = k3_subset_1(u1_struct_0(A),C) -> C = B))))))) # label(t21_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6718 (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].
12.31/11.95	6719 (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,B)) = k6_pre_topc(A,k1_tops_1(A,k6_pre_topc(A,k1_tops_1(A,B)))))))) # label(t58_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6720 (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].
12.31/11.95	6721 (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) & v3_pre_topc(B,A) -> v4_membered(B) & v5_membered(B) & v2_tops_1(B,A) & v3_tops_1(B,A) & v3_membered(B) & v2_membered(B) & v1_membered(B) & v4_pre_topc(B,A) & v3_pre_topc(B,A) & v1_xboole_0(B)))))) # label(cc6_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6722 (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(k4_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t36_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6723 (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].
12.31/11.95	6724 (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) -> 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].
12.31/11.95	6725 (all A (l1_pre_topc(A) -> v1_tops_1(k2_pre_topc(A),A))) # label(fc9_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6726 (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].
12.31/11.95	6727 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_xboole_0(B) -> v4_pre_topc(B,A) & v3_pre_topc(B,A)))))) # label(cc1_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6728 (all A (v2_pre_topc(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(cc4_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6729 (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) <-> k6_subset_1(u1_struct_0(A),B,k1_tops_1(A,B)) = k2_tops_1(A,B)))))) # label(t77_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6730 (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(C,A) & v4_pre_topc(C,A) & v2_tops_1(B,A) -> v2_tops_1(k4_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t85_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6731 $T # label(t89_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6732 $T # label(t13_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6733 $T # label(t11_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6734 (all A all B (l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v3_tops_1(B,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].
12.31/11.95	6735 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> v1_xboole_0(k1_pre_topc(A)) & v4_pre_topc(k1_pre_topc(A),A) & v1_membered(k1_pre_topc(A)) & v4_membered(k1_pre_topc(A)) & v5_membered(k1_pre_topc(A)) & v3_membered(k1_pre_topc(A)) & v2_membered(k1_pre_topc(A)) & v3_pre_topc(k1_pre_topc(A),A))) # label(fc7_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6736 (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].
12.31/11.95	6737 (all A all B (l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v3_pre_topc(B,A) & v2_pre_topc(A) -> v2_tops_1(k2_tops_1(A,B),A) & v3_tops_1(k2_tops_1(A,B),A))) # label(fc12_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6738 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v5_tops_1(B,A) <-> B = k6_pre_topc(A,k1_tops_1(A,B))))))) # label(d7_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6739 (all A (l1_pre_topc(A) & v2_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) & v3_membered(B) & v5_membered(B) & v3_tops_1(B,A) & v2_tops_1(B,A) & v4_membered(B) & v2_membered(B) & v1_membered(B) & v4_pre_topc(B,A))))) # label(rc5_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6740 (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)) -> ((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)))) <-> r2_hidden(C,k6_pre_topc(A,B))))))))) # label(t39_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6741 $T # label(t16_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6742 (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].
12.31/11.95	6743 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k1_tops_1(A,B) = k3_subset_1(u1_struct_0(A),k6_pre_topc(A,k3_subset_1(u1_struct_0(A),B))))))) # label(d1_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6744 (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].
12.31/11.95	6745 (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].
12.31/11.95	6746 (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_xboole_0 = k1_tops_1(A,k2_tops_1(A,B))))))) # label(t110_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6747 (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].
12.31/11.95	6748 (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,k6_pre_topc(A,B)),B) & r1_tarski(B,k6_pre_topc(A,k1_tops_1(A,B))) <-> v4_tops_1(B,A)))))) # label(d6_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6749 (all A (l1_pre_topc(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_membered(B) & v2_membered(B) & v3_membered(B) & v5_membered(B) & v2_tops_1(B,A) & v4_membered(B) & v1_xboole_0(B))))) # label(rc4_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6750 (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].
12.31/11.95	6751 (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(B,A) & v4_pre_topc(C,A) -> v4_pre_topc(k5_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t35_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6752 (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].
12.31/11.95	6753 (all A (v2_pre_topc(A) & l1_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 & v3_pre_topc(C,A) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(r1_tarski(D,C) & r1_xboole_0(B,D) & v3_pre_topc(D,A) & k1_xboole_0 != D)))))))))))) # label(t87_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6754 $T # label(t25_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6755 (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].
12.31/11.95	6756 (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].
12.31/11.95	6757 (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(B,A) -> (v6_tops_1(B,A) <-> v5_tops_1(B,A))))))) # label(t105_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6758 (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].
12.31/11.95	6759 (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(B,A) & r1_tarski(C,B) -> r1_tarski(k6_pre_topc(A,C),B)))))))) # label(t31_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6760 (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) & v1_tops_1(C,A) & v1_tops_1(B,A) -> v1_tops_1(k5_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t82_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6761 (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(B,A) -> v3_tops_1(k2_tops_1(A,B),A)))))) # label(t95_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6762 (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].
12.31/11.95	6763 (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].
12.31/11.95	6764 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k6_pre_topc(A,B) = k6_pre_topc(A,k6_pre_topc(A,B)))))) # label(t26_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6765 (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].
12.31/11.95	6766 (all A (v2_pre_topc(A) & l1_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].
12.31/11.95	6767 $T # label(t3_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6768 (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(B,A) & v3_tops_1(B,A) -> k1_xboole_0 = B))))) # label(t97_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6769 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (k1_tops_1(A,k6_pre_topc(A,B)) = B <-> v6_tops_1(B,A)))))) # label(d8_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6770 (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) -> 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].
12.31/11.95	6771 (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].
12.31/11.95	6772 $T # label(t42_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6773 $T # label(t98_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6774 $T # label(t18_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6775 (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))) -> (v4_pre_topc(D,B) & v4_tops_1(D,B) -> v5_tops_1(D,B)) & (v5_tops_1(C,A) -> v4_tops_1(C,A) & v4_pre_topc(C,A)))))))))) # label(t106_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6776 (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].
12.31/11.95	6777 $T # label(t78_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6778 $T # label(t6_tops_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6779 $T # label(t4_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6780 (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].
12.31/11.95	6781 (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_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)) -> (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].
12.31/11.95	6782 (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].
12.31/11.95	6783 (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].
12.31/11.95	6784 (all A (-v3_struct_0(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) & k1_xboole_0 = B))))) # label(t5_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6785 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v2_pre_topc(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)) -> (v5_pre_topc(C,A,B) <-> (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)))))))))))) # label(t56_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6786 (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(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(C,B) -> v3_pre_topc(C,A))))))))) # label(d1_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	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].
12.31/11.95	6788 (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)) -> (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)))) -> (k9_relat_1(k3_funct_3(C),D) = E -> v1_tops_2(E,A))))))))))))) # label(t59_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6789 (all A all B all C (l1_pre_topc(A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B,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].
12.31/11.95	6790 (all A (l1_struct_0(A) -> (all B (-v3_struct_0(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_pre_topc(B) = k2_relat_1(C) -> k1_relat_1(k2_tops_2(A,B,C)) = k2_pre_topc(B) & k2_pre_topc(A) = k2_relat_1(k2_tops_2(A,B,C))))))))) # label(t62_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6791 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (k1_xboole_0 != B -> k3_subset_1(A,k5_setfam_1(A,B)) = k6_setfam_1(A,k7_setfam_1(A,B))))) # label(t11_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6792 $T # label(t9_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	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_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)))) -> (B = D -> v2_tops_2(D,C))))))))))) # label(t36_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6794 $T # label(t53_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6795 $T # label(t61_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6796 (all A (l1_struct_0(A) -> (all B (-v3_struct_0(B) & l1_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)) -> k1_relat_1(C) = k2_pre_topc(A) & r1_tarski(k2_relat_1(C),k2_pre_topc(B)))))))) # label(t51_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6797 (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_relat_1(D) & k2_relat_1(D) = k1_tops_2(A,B,C) & (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_relat_1(D) = C & v1_funct_1(D))))))))) # label(t50_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6798 (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].
12.31/11.95	6799 (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(B,A) <-> v2_tops_2(k7_setfam_1(u1_struct_0(A),B),A)))))) # label(t17_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6800 (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) -> v4_pre_topc(k6_setfam_1(u1_struct_0(A),B),A)))))) # label(t29_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6801 (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].
12.31/11.95	6802 $T # label(t30_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6803 (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)))) -> -(v1_tops_2(D,A) & (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (k2_pre_topc(B) = E -> k1_tops_2(A,E,D) = C)))))) & v1_tops_2(C,B)))))))) # label(t49_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6804 (all A (l1_struct_0(A) -> (all B (l1_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_relat_1(C) = k2_pre_topc(B) & v2_funct_1(C) -> k2_funct_1(C) = k2_tops_2(A,B,C)))))))) # label(d4_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6805 (all A (l1_pre_topc(A) -> (all 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) -> (v3_tops_2(C,A,B) <-> k1_relat_1(C) = k2_pre_topc(A) & 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)))))))) # label(d5_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6806 (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].
12.31/11.95	6807 (all A (l1_struct_0(A) -> (all 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) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (k2_pre_topc(B) = k2_relat_1(C) & v2_funct_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].
12.31/11.95	6808 (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) -> (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].
12.31/11.95	6809 (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].
12.31/11.95	6810 $T # label(t8_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6811 (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].
12.31/11.95	6812 (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)))) -> (D = B -> v1_tops_2(D,C))))))))))) # label(t35_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6813 $T # label(t2_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6814 (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].
12.31/11.95	6815 (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].
12.31/11.95	6816 (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_finset_1(B) & v2_tops_2(B,A) -> v4_pre_topc(k5_setfam_1(u1_struct_0(A),B),A)))))) # label(t28_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6817 (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)))) -> (r2_hidden(E,D) <-> (exists F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & E = k5_subset_1(u1_struct_0(A),F,B) & r2_hidden(F,C))))))))))))))) # label(d3_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6818 $T # label(t15_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6819 (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].
12.31/11.95	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)))) -> (v1_tops_2(B,A) & v1_tops_2(C,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].
12.31/11.95	6821 $T # label(t69_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.95	6822 (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_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) & (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)))) & k1_relat_1(C) = k2_pre_topc(A) <-> v3_tops_2(C,A,B)))))))) # label(t74_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6823 (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)) = k3_subset_1(A,k6_setfam_1(A,B))))) # label(t12_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6824 (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) -> k6_relat_1(k2_relat_1(C)) = k5_relat_1(k2_tops_2(A,B,C),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].
12.31/11.96	6825 (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(B) <-> v1_finset_1(k7_setfam_1(u1_struct_0(A),B))))))) # label(t13_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6826 (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].
12.31/11.96	6827 $T # label(t7_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6828 (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].
12.31/11.96	6829 (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].
12.31/11.96	6830 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> -(B = k1_xboole_0 & k7_setfam_1(A,B) != k1_xboole_0) & -(B != k1_xboole_0 & k1_xboole_0 = k7_setfam_1(A,B)))) # label(t10_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6831 (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].
12.31/11.96	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(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].
12.31/11.96	6833 (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].
12.31/11.96	6834 (all A (l1_struct_0(A) -> (all 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) -> (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].
12.31/11.96	6835 (all A all B all 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)) & v1_funct_1(C) & l1_struct_0(B) & l1_struct_0(A) -> v1_funct_2(k2_tops_2(A,B,C),u1_struct_0(B),u1_struct_0(A)) & m2_relset_1(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].
12.31/11.96	6836 (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].
12.31/11.96	6837 (all A (l1_struct_0(A) -> (all B (-v3_struct_0(B) & l1_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_relat_1(D) = k2_pre_topc(B) & v2_funct_1(E) & k2_pre_topc(C) = k2_relat_1(E) & k2_pre_topc(B) = k1_relat_1(E) & v2_funct_1(D) -> k2_tops_2(A,C,k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),D,E)) = 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))))))))))))) # label(t66_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6838 $T # label(t14_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6839 (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)) -> B = k5_setfam_1(u1_struct_0(k3_pre_topc(A,B)),k1_tops_2(A,B,C))))))))) # label(t43_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6840 (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) & 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].
12.31/11.96	6841 $T # label(t37_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6842 (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) -> (k1_relat_1(C) = k2_pre_topc(A) & k2_pre_topc(B) = k2_relat_1(C) & v2_funct_1(C) & (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)))) <-> v3_tops_2(C,A,B)))))))) # label(t72_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6843 (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_pre_topc(B) = k2_relat_1(C) & 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].
12.31/11.96	6844 (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))) -> (B = D -> v4_pre_topc(D,C))))))))))) # label(t34_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6845 (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].
12.31/11.96	6846 $T # label(t39_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6847 (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].
12.31/11.96	6848 (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) -> k5_pre_topc(A,B,C,k2_pre_topc(B)) = k2_pre_topc(A))))))) # label(t52_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6849 (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)) -> (v2_funct_1(C) & k2_relat_1(C) = k2_pre_topc(B) -> k2_tops_2(B,A,k2_tops_2(A,B,C)) = C))))))) # label(t64_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	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)))) -> (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].
12.31/11.96	6851 (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].
12.31/11.96	6852 (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].
12.31/11.96	6853 (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].
12.31/11.96	6854 (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(u1_struct_0(B))) -> (v3_pre_topc(D,B) -> v3_pre_topc(k5_pre_topc(A,B,C,D),A)))) <-> v5_pre_topc(C,A,B)))))))) # label(t55_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6855 (all A (l1_pre_topc(A) -> (all 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)) -> (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].
12.31/11.96	6856 (all A (l1_pre_topc(A) -> (all 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) & v2_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) -> v2_tops_2(E,A))))))))))))) # label(t60_tops_2) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6857 (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].
12.31/11.96	6858 (all A (l1_struct_0(A) -> (all B (l1_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,k1_zfmisc_1(u1_struct_0(B))) -> (k2_pre_topc(B) = k2_relat_1(C) & 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].
12.31/11.96	6859 (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) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B)) & m2_relset_1(E,u1_struct_0(C),u1_struct_0(B)) -> (v5_pre_topc(D,A,C) & v5_pre_topc(E,C,B) -> 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].
12.31/11.96	6860 (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)) -> (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].
12.31/11.96	6861 (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)) -> k3_rlvect_1(A,B,np__3) = k9_rlvect_1(A,k8_rlvect_1(A,B,B,B)))))) # label(t93_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6862 (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) -> A = B | k1_rlvect_1(C) = D))))))))) # label(t51_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6863 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & l1_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,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k5_rlvect_1(A,k9_rlvect_1(A,k8_rlvect_1(A,B,C,D))) = k6_rlvect_1(A,k6_rlvect_1(A,k5_rlvect_1(A,B),C),D))))))))) # label(t71_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6864 (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) -> (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].
12.31/11.96	6865 (all A all B all C all D (-v1_xboole_0(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) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(B,A) -> v2_rlvect_1(g2_rlvect_1(A,B,C,D)) & -v3_struct_0(g2_rlvect_1(A,B,C,D)))) # label(fc1_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6866 (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)) -> k9_rlvect_1(A,k7_rlvect_1(A,B,k1_rlvect_1(A))) = B & B = k9_rlvect_1(A,k7_rlvect_1(A,k1_rlvect_1(A),B)))))) # label(t75_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6867 (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 = k2_rlvect_1(A,B,k1_rlvect_1(A)) & B = k2_rlvect_1(A,k1_rlvect_1(A),B))))) # label(t10_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6868 $T # label(t1_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6869 (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)) -> (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].
12.31/11.96	6870 (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) -> k3_rlvect_1(A,B,C) = 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)))))))) # label(d4_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6871 $T # label(t4_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6872 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_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].
12.31/11.96	6873 (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,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].
12.31/11.96	6874 (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(D,E,F) = g1_rlvect_1(A,B,C) -> A = D & C = F & E = B)))) # label(free_g1_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6875 (all A (-v3_struct_0(A) & v5_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)) -> (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].
12.31/11.96	6876 $T # label(t53_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6877 (all A (l1_rlvect_1(A) & v6_rlvect_1(A) & v5_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].
12.31/11.96	6878 (all A (m1_subset_1(A,k1_numbers) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v7_rlvect_1(B) & l2_rlvect_1(B) & v6_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)) -> 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].
12.31/11.96	6879 $T # label(t8_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6880 (all A (m1_subset_1(A,k1_numbers) -> (all B (-v3_struct_0(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) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k3_rlvect_1(B,k5_rlvect_1(B,C),A) = k5_rlvect_1(B,k3_rlvect_1(B,C,A)))))))) # label(t39_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6881 $T # label(t13_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6882 (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)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (k6_rlvect_1(A,B,D) = k6_rlvect_1(A,B,C) -> D = C))))))))) # label(t37_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6883 (all A (-v3_struct_0(A) & l1_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 (m1_subset_1(D,u1_struct_0(A)) -> (k3_finseq_1(B) = k1_nat_1(k3_finseq_1(C),np__1) & k7_relat_1(B,k4_finseq_1(C)) = C & D = k1_funct_1(B,k3_finseq_1(B)) -> 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].
12.31/11.96	6884 $T # label(t52_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6885 $T # label(t6_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6886 (all A (l2_rlvect_1(A) -> (v2_rlvect_1(A) -> g2_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_rlvect_1(A),u2_rlvect_1(A)) = A))) # label(abstractness_v2_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6887 (all A (-v3_struct_0(A) & l2_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].
12.31/11.96	6888 (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)) -> (B = k5_rlvect_1(A,B) -> k1_rlvect_1(A) = B))))) # label(t33_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6889 (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)) -> (exists D (C = k2_rlvect_1(A,B,D) & m1_subset_1(D,u1_struct_0(A)))))))))) # label(t20_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6890 $T # label(t15_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6891 (exists A l1_rlvect_1(A)) # label(existence_l1_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6892 (all A (l2_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_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)) -> k3_rlvect_1(A,B,np__1) = B)) & (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)) -> 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)))))))) <-> v7_rlvect_1(A)))) # label(d9_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6893 (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)) -> k5_rlvect_1(A,B) = k6_rlvect_1(A,k1_rlvect_1(A),B))))) # label(t27_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6894 (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)) -> k2_rlvect_1(A,B,C) = 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) = k9_rlvect_1(A,k8_rlvect_1(A,B,k1_rlvect_1(A),C)))))))) # label(t92_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6895 (all A all B all C all D (-v3_struct_0(A) & l1_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)) -> k11_finseq_1(B,C,D) = k8_rlvect_1(A,B,C,D))) # label(redefinition_k8_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6896 (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)) -> k2_rlvect_1(A,B,k5_rlvect_1(A,B)) = k1_rlvect_1(A) & k2_rlvect_1(A,k5_rlvect_1(A,B),B) = k1_rlvect_1(A))))) # label(t16_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6897 (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)) -> 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].
12.31/11.96	6898 (all A all B all C (-v3_struct_0(A) & l1_rlvect_1(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,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].
12.31/11.96	6899 (all A (-v3_struct_0(A) & l1_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].
12.31/11.96	6900 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (k3_finseq_1(B) = np__0 -> k1_rlvect_1(A) = k9_rlvect_1(A,B)))))) # label(t94_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6901 (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)) -> 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].
12.31/11.96	6902 (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].
12.31/11.96	6903 $T # label(t2_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6904 $T # label(t11_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6905 (exists A (l1_rlvect_1(A) & v1_rlvect_1(A))) # label(rc1_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6906 (all A (m1_subset_1(A,k1_numbers) -> (all 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) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (A = np__0 | k1_rlvect_1(B) = C -> k3_rlvect_1(B,C,A) = k1_rlvect_1(B)))))))) # label(t23_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6907 (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].
12.31/11.96	6908 (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)) -> m2_finseq_1(k7_rlvect_1(A,B,C),u1_struct_0(A)))) # label(dt_k7_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6909 (all A all B (-v3_struct_0(A) & m1_finseq_1(B,u1_struct_0(A)) & l1_rlvect_1(A) -> m1_subset_1(k9_rlvect_1(A,B),u1_struct_0(A)))) # label(dt_k9_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6910 $T # label(t18_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6911 (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 (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,D,B,C)) = k9_rlvect_1(A,k8_rlvect_1(A,C,B,D)))))))))) # label(t89_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6912 (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)) -> (exists D (m1_subset_1(D,u1_struct_0(A)) & k6_rlvect_1(A,C,D) = B)))))))) # label(t36_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6913 (all A (l2_rlvect_1(A) -> l1_rlvect_1(A))) # label(dt_l2_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6914 (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)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k4_rlvect_1(A,k6_rlvect_1(A,B,C),D) = k6_rlvect_1(A,B,k6_rlvect_1(A,C,D)))))))))) # label(t43_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6915 (all A all B all C (-v3_struct_0(A) & m1_subset_1(C,k1_numbers) & m1_subset_1(B,u1_struct_0(A)) & l2_rlvect_1(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].
12.31/11.96	6916 $T # label(t17_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6917 (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_numbers) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k4_rlvect_1(A,k3_rlvect_1(A,C,B),k3_rlvect_1(A,D,B)) = k3_rlvect_1(A,k9_rlvect_1(A,k7_rlvect_1(A,C,D)),B))))))))) # label(t66_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6918 (all A (m1_subset_1(A,k1_numbers) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & l2_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k3_rlvect_1(B,C,k1_real_1(A)) = k3_rlvect_1(B,k5_rlvect_1(B,C),A))))))) # label(t38_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6919 (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,B,C) = k9_rlvect_1(A,k7_rlvect_1(A,B,k5_rlvect_1(A,C))))))))) # label(t77_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6920 (all A (-v3_struct_0(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> k9_rlvect_1(A,k7_rlvect_1(A,k1_rlvect_1(A),k1_rlvect_1(A))) = k1_rlvect_1(A))) # label(t74_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6921 (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)) -> k9_rlvect_1(A,k8_rlvect_1(A,B,D,C)) = k9_rlvect_1(A,k8_rlvect_1(A,C,B,D)))))))))) # label(t87_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6922 (all A (l2_struct_0(A) -> u2_struct_0(A) = k1_rlvect_1(A))) # label(d2_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6923 (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,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].
12.31/11.96	6924 (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) -> (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].
12.31/11.96	6925 (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].
12.31/11.96	6926 (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].
12.31/11.96	6927 (all A (v3_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_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 (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)) -> k5_rlvect_1(A,E) = k1_funct_1(B,D)))))) & k3_finseq_1(C) = k3_finseq_1(B) -> k5_rlvect_1(A,k9_rlvect_1(A,C)) = k9_rlvect_1(A,B)))))))) # label(t57_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6928 (all A all B (-v3_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) & l1_rlvect_1(A) -> m1_subset_1(k5_rlvect_1(A,B),u1_struct_0(A)))) # label(dt_k5_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6929 (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)) -> k2_rlvect_1(A,B,C) = k9_rlvect_1(A,k7_rlvect_1(A,B,C)))))))) # label(t62_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.96	6930 (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__1 = k3_finseq_1(B) -> k9_rlvect_1(A,B) = k1_funct_1(B,np__1)))))) # label(t95_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6931 (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)) -> (k6_rlvect_1(A,B,C) = k1_rlvect_1(A) -> C = B))))))) # label(t35_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6932 (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)) -> k9_rlvect_1(A,k8_rlvect_1(A,k1_rlvect_1(A),k1_rlvect_1(A),B)) = B & k9_rlvect_1(A,k8_rlvect_1(A,B,k1_rlvect_1(A),k1_rlvect_1(A))) = B & B = k9_rlvect_1(A,k8_rlvect_1(A,k1_rlvect_1(A),B,k1_rlvect_1(A))))))) # label(t91_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6933 (exists A (l1_rlvect_1(A) & -v3_struct_0(A) & v1_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A))) # label(rc5_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6934 (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)) -> k3_rlvect_1(A,B,k1_real_1(np__1)) = k5_rlvect_1(A,B))))) # label(t29_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6935 $T # label(t65_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6936 (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)) -> ((exists D (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)) -> (F = k1_funct_1(B,k1_nat_1(E,np__1)) -> k2_rlvect_1(A,k8_funct_2(k5_numbers,u1_struct_0(A),D,E),F) = k8_funct_2(k5_numbers,u1_struct_0(A),D,k1_nat_1(E,np__1)) | 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_2(D,k5_numbers,u1_struct_0(A)) & v1_funct_1(D))) <-> C = k9_rlvect_1(A,B)))))))) # label(d12_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6937 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) -> k5_rlvect_1(A,k1_rlvect_1(A)) = k1_rlvect_1(A))) # label(t25_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6938 (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].
12.31/11.97	6939 (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)) -> k6_rlvect_1(A,B,B) = k1_rlvect_1(A))))) # label(t28_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6940 (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)) -> (k1_rlvect_1(A) = k4_rlvect_1(A,B,B) -> k1_rlvect_1(A) = B))))) # label(t34_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6941 (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,k5_rlvect_1(A,C)) = k6_rlvect_1(A,B,C))))))) # label(d11_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6942 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (v5_rlvect_1(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k2_rlvect_1(A,B,k1_rlvect_1(A))))))) # label(d7_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6943 (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)) -> k9_rlvect_1(A,k7_rlvect_1(A,k5_rlvect_1(A,B),k5_rlvect_1(A,C))) = k5_rlvect_1(A,k2_rlvect_1(A,C,B)))))))) # label(t78_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6944 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_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)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (D = k1_funct_1(B,np__2) & C = k1_funct_1(B,np__1) & np__2 = k3_finseq_1(B) -> k2_rlvect_1(A,C,D) = k9_rlvect_1(A,B)))))))))) # label(t96_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6945 (all A (m1_subset_1(A,k1_numbers) -> (all B (v3_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & l2_rlvect_1(B) & v5_rlvect_1(B) & v4_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)) -> (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)) -> (k1_funct_1(D,E) = F & r2_hidden(E,k4_finseq_1(C)) -> k1_funct_1(C,E) = k3_rlvect_1(B,F,A)))))) -> 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].
12.31/11.97	6946 (all A (m1_subset_1(A,k1_numbers) -> (all B (m1_subset_1(B,k1_numbers) -> (all C (v3_rlvect_1(C) & v4_rlvect_1(C) & v6_rlvect_1(C) & l2_rlvect_1(C) & v7_rlvect_1(C) & v5_rlvect_1(C) & -v3_struct_0(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> k3_rlvect_1(C,D,k5_real_1(A,B)) = k6_rlvect_1(C,k3_rlvect_1(C,D,A),k3_rlvect_1(C,D,B)))))))))) # label(t49_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6947 (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,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].
12.31/11.97	6948 (all 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)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k2_rlvect_1(A,B,k6_rlvect_1(A,C,D)) = k6_rlvect_1(A,k2_rlvect_1(A,B,C),D))))))))) # label(t42_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	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)) -> 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].
12.31/11.97	6950 (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)) -> (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].
12.31/11.97	6951 (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)) -> k5_rlvect_1(A,k5_rlvect_1(A,B)) = B)))) # label(t30_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6952 (all A (m1_subset_1(A,k1_numbers) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v7_rlvect_1(B) & l2_rlvect_1(B) & v6_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)) -> (k3_rlvect_1(B,C,A) = k3_rlvect_1(B,D,A) -> A = np__0 | D = C))))))))) # label(t50_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6953 (all A (l1_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)) & v1_funct_1(u1_rlvect_1(A)))) # label(dt_u1_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6954 (all A (-v3_struct_0(A) & l1_rlvect_1(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].
12.31/11.97	6955 (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)) -> B = k9_rlvect_1(A,k12_finseq_1(u1_struct_0(A),B)))))) # label(t61_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6956 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> k2_rlvect_1(A,k9_rlvect_1(A,B),k9_rlvect_1(A,C)) = k9_rlvect_1(A,k8_finseq_1(u1_struct_0(A),B,C)))))))) # label(t58_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6957 (all A all B all C (m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & l1_struct_0(A) & -v3_struct_0(A) -> k7_rlvect_1(A,B,C) = k10_finseq_1(B,C))) # label(redefinition_k7_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6958 (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].
12.31/11.97	6959 (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)) -> (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)) -> (k3_finseq_1(B) = np__3 & C = k1_funct_1(B,np__1) & D = k1_funct_1(B,np__2) & E = k1_funct_1(B,np__3) -> k2_rlvect_1(A,k2_rlvect_1(A,C,D),E) = k9_rlvect_1(A,B)))))))))))) # label(t97_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6960 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & l1_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)) -> 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].
12.31/11.97	6961 (all A (-v3_struct_0(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) -> (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].
12.31/11.97	6962 (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)) & D = k3_finseq_1(B) -> m1_subset_1(k1_funct_1(B,C),u1_struct_0(A))))))))))) # label(t54_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6963 (all A (m1_subset_1(A,k1_numbers) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v7_rlvect_1(B) & l2_rlvect_1(B) & v6_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k3_rlvect_1(B,k5_rlvect_1(B,C),k1_real_1(A)) = k3_rlvect_1(B,C,A))))))) # label(t40_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6964 (exists A l2_rlvect_1(A)) # label(existence_l2_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6965 (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,C,B) = k2_rlvect_1(A,B,C))))) <-> v3_rlvect_1(A)))) # label(d5_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6966 $T # label(t32_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6967 (exists A (v2_rlvect_1(A) & l2_rlvect_1(A))) # label(rc2_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6968 (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)) -> 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].
12.31/11.97	6969 (all A all B all C all D (m1_relset_1(C,k2_zfmisc_1(A,A),A) & 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(D) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & 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].
12.31/11.97	6970 (all A all B all C (v3_rlvect_1(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l1_rlvect_1(A) & -v3_struct_0(A) -> k4_rlvect_1(A,B,C) = k2_rlvect_1(A,B,C))) # label(redefinition_k4_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6971 $T # label(t88_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6972 (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)) -> k5_rlvect_1(A,B) = k5_rlvect_1(A,k9_rlvect_1(A,k12_finseq_1(u1_struct_0(A),B))))))) # label(t69_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6973 (all A all B all C all D (m1_subset_1(B,A) & 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_2(D,k2_zfmisc_1(k1_numbers,A),A) & m1_relset_1(D,k2_zfmisc_1(k1_numbers,A),A) & v1_funct_1(D) -> (all E all F all G all H (g2_rlvect_1(E,F,G,H) = g2_rlvect_1(A,B,C,D) -> E = A & F = B & C = G & H = D)))) # label(free_g2_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6974 (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) = k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_rlvect_1(A),B,C))))))) # label(t5_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6975 (exists A (l2_rlvect_1(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & v2_rlvect_1(A) & -v3_struct_0(A))) # label(rc6_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6976 (all A (l1_rlvect_1(A) -> l2_struct_0(A))) # label(dt_l1_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6977 (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)) -> 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].
12.31/11.97	6978 (all A (-v3_struct_0(A) & l1_rlvect_1(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)) & k1_rlvect_1(A) = k2_rlvect_1(A,B,C)))))))) # label(d8_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6979 (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].
12.31/11.97	6980 (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)) -> k9_rlvect_1(A,k7_rlvect_1(A,k5_rlvect_1(A,B),B)) = k1_rlvect_1(A) & k9_rlvect_1(A,k7_rlvect_1(A,B,k5_rlvect_1(A,B))) = k1_rlvect_1(A))))) # label(t76_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6981 $T # label(t9_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6982 (exists A (-v3_struct_0(A) & l2_rlvect_1(A))) # label(rc3_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6983 (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) -> k4_rlvect_1(A,C,B) = k4_rlvect_1(A,B,C))) # label(commutativity_k4_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
12.31/11.97	6984 (all A (m1_subset_1(A,k1_numbers) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & l2_rlvect_1(B) & v7_rlvect_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> -(k1_rlvect_1(B) = k3_rlvect_1(B,C,A) & np__0 != A & C != k1_rlvect_1(B)))))))) # label(t24_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	6985 (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)) -> (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].
119.13/118.78	6986 (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].
119.13/118.78	6987 (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)) -> (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].
119.13/118.78	6988 (all A (l2_rlvect_1(A) & -v3_struct_0(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (exists C (m1_subset_1(C,u1_struct_0(A)) & k1_rlvect_1(A) = k2_rlvect_1(A,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))))))) & (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,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)) -> 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)) -> k2_rlvect_1(A,B,k1_rlvect_1(A)) = B)) & (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))))))) & (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,B) = k2_rlvect_1(A,B,C))))) -> v3_rlvect_1(A) & v4_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A)))) # label(t7_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	6989 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & l1_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,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].
119.13/118.78	6990 (exists A (v1_rlvect_1(A) & -v3_struct_0(A) & l1_rlvect_1(A))) # label(rc4_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	6991 (all A all B all C all D (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) & -v3_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].
119.13/118.78	6992 (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,B,C) = B | k2_rlvect_1(A,C,B) = B -> C = k1_rlvect_1(A)))))))) # label(t22_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	6993 (all A all B all C (v1_funct_1(B) & 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) -> l1_rlvect_1(g1_rlvect_1(A,B,C)) & v1_rlvect_1(g1_rlvect_1(A,B,C)))) # label(dt_g1_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	6994 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_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].
119.13/118.78	6995 $T # label(t12_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	6996 (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)) -> k9_rlvect_1(A,k8_rlvect_1(A,B,C,D)) = k2_rlvect_1(A,k9_rlvect_1(A,k7_rlvect_1(A,B,C)),D))))))))) # label(t82_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	6997 (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)) -> 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))) = k9_rlvect_1(A,k8_rlvect_1(A,B,C,D)))))))))) # label(t81_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	6998 $T # label(t14_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	6999 (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)) -> (k5_rlvect_1(A,C) = k5_rlvect_1(A,B) -> B = C))))))) # label(t31_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7000 (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)) -> k6_rlvect_1(A,B,k1_rlvect_1(A)) = B)))) # label(t26_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7001 (all A (l1_rlvect_1(A) -> (v1_rlvect_1(A) -> A = g1_rlvect_1(u1_struct_0(A),u1_rlvect_1(A),u2_struct_0(A))))) # label(abstractness_v1_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7002 $T # label(t57_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7003 (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_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].
119.13/118.78	7004 (all A (-v3_struct_0(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) -> (all B (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) -> (m1_rlsub_1(B,A) <-> k1_realset1(u1_rlvect_1(A),u1_struct_0(B)) = u1_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))) = u2_rlvect_1(B) & u2_struct_0(A) = u2_struct_0(B) & r1_tarski(u1_struct_0(B),u1_struct_0(A))))))) # label(d2_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7005 (all A (-v3_struct_0(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) -> (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].
119.13/118.78	7006 (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) -> (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)) -> (E = B -> k3_rlvect_1(A,B,C) = k3_rlvect_1(D,E,C)))))))))))) # label(t22_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7007 (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,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 & F = C -> k6_rlvect_1(A,B,C) = k6_rlvect_1(D,E,F)))))))))))))) # label(t24_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7008 (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,u1_struct_0(A)) -> (all C (m1_rlsub_1(C,A) -> (r1_rlvect_1(C,B) <-> k3_rlsub_1(A,k5_rlvect_1(A,B),C) = u1_struct_0(C)))))))) # label(t67_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7009 (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,k4_rlvect_1(A,B,C))))))))))) # label(t28_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7010 (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) -> r1_rlvect_1(A,k1_rlvect_1(B)))))) # label(t27_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7011 $T # label(t11_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7012 (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_rlsub_1(B,A) -> v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & l2_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B))))) # label(dt_m1_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7013 (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) -> v1_rlsub_1(k1_struct_0(A,k1_rlvect_1(A)),A))) # label(t7_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7014 (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_rlsub_1(B,A) -> m1_rlsub_1(k1_rlsub_1(A),B))))) # label(t51_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7015 (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_rlsub_1(B,A,k2_rlsub_1(A)) -> B = u1_struct_0(A)))))) # label(t92_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7016 (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))) -> (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].
119.13/118.78	7017 (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) -> k1_rlsub_1(B) = k1_rlsub_1(A))))) # label(t48_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7018 (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_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)) & k6_rlvect_1(A,C,E) = B & r1_rlvect_1(D,E)))))))))))) # label(t80_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7019 (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,k1_zfmisc_1(u1_struct_0(A))) -> (v1_rlsub_1(B,A) -> k1_xboole_0 = B | r2_hidden(k1_rlvect_1(A),B)))))) # label(t4_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7020 (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) & -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 (v1_funct_1(E) & m2_relset_1(E,k2_zfmisc_1(C,C),C) & v1_funct_2(E,k2_zfmisc_1(C,C),C) -> (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) -> (k1_rlvect_1(A) = D & 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)) & E = k1_realset1(u1_rlvect_1(A),B) & C = B -> m1_rlsub_1(g2_rlvect_1(C,D,E,F),A)))))))))))))) # label(t32_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7021 (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,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].
119.13/118.78	7022 (all A all B (-v3_struct_0(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & m1_rlsub_1(B,A) & l2_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (exists C m2_rlsub_1(C,A,B)))) # label(existence_m2_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7023 (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 (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 -> B = C))))))))))) # label(t87_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7024 (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_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,E) & r2_hidden(B,D) -> E = D))))))))))) # label(t98_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7025 (all 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) & -v3_struct_0(A) -> (all B (m1_rlsub_1(B,A) & v2_rlvect_1(B) -> (u1_struct_0(B) = k1_struct_0(A,k1_rlvect_1(A)) <-> B = k1_rlsub_1(A)))))) # label(d3_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7026 (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 (v2_rlvect_1(B) & m1_rlsub_1(B,A) -> (all C (m1_rlsub_1(C,A) & v2_rlvect_1(C) -> (u1_struct_0(B) = u1_struct_0(C) -> B = C))))))) # label(t38_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7027 (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) & v2_rlvect_1(D) -> (all E (v2_rlvect_1(E) & m1_rlsub_1(E,A) -> (k3_rlsub_1(A,B,D) = k3_rlsub_1(A,C,E) -> E = D))))))))))) # label(t85_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7028 (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) -> (u1_struct_0(C) = k3_rlsub_1(A,B,C) <-> r2_hidden(k1_rlvect_1(A),k3_rlsub_1(A,B,C))))))))) # label(t63_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7029 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & l2_rlvect_1(A) & v7_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)) -> u1_struct_0(A) = k3_rlsub_1(A,B,k2_rlsub_1(A)))))) # label(t62_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7030 $T # label(t45_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7031 (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].
119.13/118.78	7032 $T # label(t56_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7033 (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_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) <-> r2_hidden(B,k3_rlsub_1(A,C,D))))))))))) # label(t70_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7034 (all A all B all C all D (-v3_struct_0(B) & v4_rlvect_1(B) & l2_rlvect_1(B) & m1_rlsub_1(D,B) & m1_subset_1(C,u1_struct_0(B)) & v7_rlvect_1(B) & v6_rlvect_1(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)) & k4_rlvect_1(B,C,E) = A & r1_rlvect_1(D,E)))))) # label(fraenkel_a_3_1_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7035 (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_subset_1(D,u1_struct_0(A)) -> (all E (m1_rlsub_1(E,A) -> (r2_hidden(B,k3_rlsub_1(A,C,E)) & r2_hidden(B,k3_rlsub_1(A,D,E)) -> k3_rlsub_1(A,D,E) = k3_rlsub_1(A,C,E)))))))))))) # label(t72_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7036 (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) -> (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].
119.13/118.78	7037 (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_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) <-> r2_hidden(k4_rlvect_1(A,B,C),k3_rlsub_1(A,C,D))))))))))) # label(t77_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7038 (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_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlsub_1(D,A) -> (r2_hidden(k6_rlvect_1(A,B,C),k3_rlsub_1(A,B,D)) <-> r1_rlvect_1(D,C)))))))))) # label(t78_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7039 (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) & v2_rlvect_1(A) & -v3_struct_0(A) -> (all B (v2_rlvect_1(B) & m1_rlsub_1(B,A) -> ((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].
119.13/118.78	7040 (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,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].
119.13/118.78	7041 (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_rlsub_1(C,A) -> (all D (m2_rlsub_1(D,A,C) -> (r2_hidden(B,D) <-> k3_rlsub_1(A,B,C) = D))))))))) # label(t94_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7042 (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_rlsub_1(B,A) -> m1_rlsub_1(k1_rlsub_1(B),A))))) # label(t50_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7043 (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_zfmisc_1(u1_struct_0(A))) -> -(v1_rlsub_1(B,A) & (all C (m1_rlsub_1(C,A) & v2_rlvect_1(C) -> u1_struct_0(C) != B)) & k1_xboole_0 != B))))) # label(t43_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7044 (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_rlsub_1(B,A) -> (all C (m2_rlsub_1(C,A,B) -> (C = u1_struct_0(B) <-> r2_hidden(k1_rlvect_1(A),C)))))))) # label(t93_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7045 $T # label(t47_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7046 (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_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(D,B) & r2_hidden(C,B) -> r2_hidden(k4_rlvect_1(A,C,D),B)))))) <-> v1_rlsub_1(B,A)))))) # label(d1_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7047 (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,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].
119.13/118.78	7048 (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_rlsub_1(B,A) -> (all C (m1_rlsub_1(C,A) -> k1_rlvect_1(C) = k1_rlvect_1(B))))))) # label(t20_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7049 (all A (-v3_struct_0(A) & v2_rlvect_1(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) -> m1_rlsub_1(A,k2_rlsub_1(A)))) # label(t54_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7050 (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_rlsub_1(B,A) -> (all C (m1_rlsub_1(C,A) -> k1_rlsub_1(C) = k1_rlsub_1(B))))))) # label(t49_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7051 (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) -> g2_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_rlvect_1(A),u2_rlvect_1(A)) = k2_rlsub_1(A))) # label(d4_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7052 (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_rlsub_1(B,A) -> r1_rlvect_1(B,k1_rlvect_1(A)))))) # label(t25_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7053 (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_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) <-> k3_rlsub_1(A,k6_rlvect_1(A,C,B),D) = k3_rlsub_1(A,C,D)))))))))) # label(t69_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7054 (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) -> v2_rlvect_1(k1_rlsub_1(A)) & m1_rlsub_1(k1_rlsub_1(A),A))) # label(dt_k1_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7055 (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 (v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l2_rlvect_1(B) & v7_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) & v7_rlvect_1(C) & l2_rlvect_1(C) & v6_rlvect_1(C) & v5_rlvect_1(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].
119.13/118.78	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 (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].
119.13/118.78	7057 (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_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].
119.13/118.78	7058 (all A all B all C all D (v5_rlvect_1(B) & v7_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & l2_rlvect_1(B) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> ((exists E exists F (A = k4_rlvect_1(B,E,F) & r2_hidden(E,C) & r2_hidden(F,D) & m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)))) <-> r2_hidden(A,a_3_0_rlsub_1(B,C,D))))) # label(fraenkel_a_3_0_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7059 $T # label(t55_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7060 (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 (v2_rlvect_1(B) & m1_rlsub_1(B,A) -> (all C (m1_rlsub_1(C,A) & v2_rlvect_1(C) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> (r1_rlvect_1(C,D) <-> r1_rlvect_1(B,D)))) -> C = B))))))) # label(t39_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7061 $T # label(t46_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7062 $T # label(t3_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7063 (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_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].
119.13/118.78	7064 (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,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_numbers) -> (all D (m1_rlsub_1(D,A) -> (k3_rlsub_1(A,k3_rlvect_1(A,B,C),D) = u1_struct_0(D) -> r1_rlvect_1(D,B) | np__0 = C))))))))) # label(t66_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7065 (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) -> (all E (m2_rlsub_1(E,A,D) -> -(r2_hidden(B,E) & r2_hidden(C,E) & (all F (m1_subset_1(F,u1_struct_0(A)) -> -(k6_rlvect_1(A,B,F) = C & r1_rlvect_1(D,F))))))))))))))) # label(t96_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7066 (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_rlsub_1(C,A) -> a_3_1_rlsub_1(A,B,C) = k3_rlsub_1(A,B,C))))))) # label(d5_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7067 $T # label(t13_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7068 (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_rlsub_1(C,A) -> (r1_rlvect_1(C,B) <-> k3_rlsub_1(A,B,C) = u1_struct_0(C)))))))) # label(t64_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7069 (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) -> 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].
119.13/118.78	7070 (all 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) & -v3_struct_0(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].
119.13/118.78	7071 (all 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) & -v3_struct_0(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].
119.13/118.78	7072 (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,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].
119.13/118.78	7073 (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) -> (r2_hidden(B,k3_rlsub_1(A,C,D)) <-> (exists E (B = k4_rlvect_1(A,C,E) & r1_rlvect_1(D,E) & m1_subset_1(E,u1_struct_0(A))))))))))))) # label(t79_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7074 (all A all B (-v3_struct_0(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & m1_rlsub_1(B,A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_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].
119.13/118.78	7075 (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 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].
119.13/118.78	7076 (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_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) & a_3_0_rlsub_1(A,B,C) = D & v1_rlsub_1(C,A) -> v1_rlsub_1(D,A)))))))))) # label(t9_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7077 $T # label(t1_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7078 (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_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].
119.13/118.78	7079 (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_rlsub_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> ((exists D (m1_subset_1(D,u1_struct_0(A)) & k3_rlsub_1(A,D,B) = C)) <-> m2_rlsub_1(C,A,B)))))))) # label(d6_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7080 $T # label(t2_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7081 $T # label(t53_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7082 (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) -> (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)) -> (E = B & C = F -> k4_rlvect_1(D,E,F) = k4_rlvect_1(A,B,C)))))))))))))) # label(t21_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7083 (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_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].
119.13/118.78	7084 (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))) -> (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(D,B) & r2_hidden(C,B) -> r2_hidden(k6_rlvect_1(A,C,D),B))))))))))) # label(t6_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7085 (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_zfmisc_1(u1_struct_0(A))) -> (all C (m1_rlsub_1(C,A) -> (u1_struct_0(C) = B -> v1_rlsub_1(B,A)))))))) # label(t42_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7086 (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_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlsub_1(D,A) -> ((exists E (r2_hidden(B,E) & r2_hidden(C,E) & m2_rlsub_1(E,A,D))) <-> r1_rlvect_1(D,k6_rlvect_1(A,B,C))))))))))) # label(t97_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7087 (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(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].
119.13/118.78	7088 (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,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) <-> k3_rlsub_1(A,k4_rlvect_1(A,C,B),D) = k3_rlsub_1(A,C,D)))))))))) # label(t68_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7089 (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) -> m1_rlsub_1(A,A))) # label(t33_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7090 (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_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].
119.13/118.78	7091 (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) -> m2_rlsub_1(u1_struct_0(A),A,k2_rlsub_1(A)))) # label(t91_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7092 (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_rlsub_1(C,A) -> r2_hidden(B,k3_rlsub_1(A,B,C)))))))) # label(t59_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7093 (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) -> (all B (m1_rlsub_1(B,A) & v2_rlvect_1(B) -> (u1_struct_0(A) = u1_struct_0(B) -> B = A))))) # label(t40_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7094 (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,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) -> -((all F (m1_subset_1(F,u1_struct_0(A)) -> -(r1_rlvect_1(D,F) & C = k4_rlvect_1(A,B,F)))) & r2_hidden(C,E) & r2_hidden(B,E)))))))))))) # label(t95_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7095 (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) -> (r1_rlvect_1(D,k6_rlvect_1(A,B,C)) <-> (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))))))))))))) # label(t81_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7096 (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_rlsub_1(C,A) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (D = B -> k5_rlvect_1(C,D) = k5_rlvect_1(A,B)))))))))) # label(t23_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7097 (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_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)) -> -(r1_rlvect_1(D,E) & k6_rlvect_1(A,B,E) = C)))))))))))) # label(t83_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7098 $T # label(t12_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7099 (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) & v2_rlvect_1(A) -> (all B (v2_rlvect_1(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l2_rlvect_1(B) & v7_rlvect_1(B) & -v3_struct_0(B) -> (m1_rlsub_1(B,A) & m1_rlsub_1(A,B) -> B = A))))) # label(t34_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7100 (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,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v1_rlsub_1(B,A) & v1_rlsub_1(C,A) -> v1_rlsub_1(k5_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t10_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7101 (all A (-v3_struct_0(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) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlsub_1(C,A) -> (k3_rlsub_1(A,B,C) = k3_rlsub_1(A,k5_rlvect_1(A,B),C) <-> r1_rlvect_1(C,B)))))))) # label(t71_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7102 (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 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].
119.13/118.78	7103 (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) & -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].
119.13/118.78	7104 (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_zfmisc_1(u1_struct_0(A))) -> -((all C (m1_subset_1(C,u1_struct_0(A)) -> B != k1_struct_0(A,C))) & m2_rlsub_1(B,A,k1_rlsub_1(A))))))) # label(t89_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7105 (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_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].
119.13/118.78	7106 (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) -> (exists B m1_rlsub_1(B,A)))) # label(existence_m1_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7107 (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_rlsub_1(B,A) -> m2_rlsub_1(u1_struct_0(B),A,B))))) # label(t90_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7108 (all A (v4_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (exists B (m1_rlsub_1(B,A) & -v3_struct_0(B) & v5_rlvect_1(B) & v7_rlvect_1(B) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & v2_rlvect_1(B))))) # label(rc1_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7109 (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 (v2_rlvect_1(C) & m1_rlsub_1(C,A) -> (all D (m1_rlsub_1(D,A) & v2_rlvect_1(D) -> (k3_rlsub_1(A,B,D) = k3_rlsub_1(A,B,C) <-> C = D))))))))) # label(t84_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7110 $T # label(t15_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7111 $T # label(t14_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7112 (all A all B all C (-v3_struct_0(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & m1_rlsub_1(C,A) & m1_subset_1(B,u1_struct_0(A)) & v7_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_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].
119.13/118.78	7113 $T # label(t44_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7114 (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_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlsub_1(C,A) -> (r1_rlvect_1(C,B) <-> r2_hidden(k5_rlvect_1(A,B),k3_rlsub_1(A,B,C))))))))) # label(t76_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7115 (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_rlsub_1(B,A) -> u1_struct_0(B) = k3_rlsub_1(A,k1_rlvect_1(A),B))))) # label(t60_rlsub_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7116 $T # label(t76_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7117 $T # label(t38_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7118 (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)) -> (k1_group_1(A,D,k3_group_1(A,C)) = B <-> D = k1_group_1(A,B,C)))))))))) # label(t22_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7119 (all A (l1_group_1(A) -> l1_struct_0(A))) # label(dt_l1_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7120 (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)) -> k3_group_1(B,k6_group_1(B,A,C)) = k6_group_1(B,k4_xcmplx_0(A),C))))))) # label(t70_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7121 (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,C,B) = B | B = k1_group_1(A,B,C) -> k2_group_1(A) = C))))))) # label(t15_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7122 (all A (l1_group_1(A) & -v3_struct_0(A) -> ((exists B (m1_subset_1(B,u1_struct_0(A)) & (all C (m1_subset_1(C,u1_struct_0(A)) -> C = k1_group_1(A,C,B) & C = k1_group_1(A,B,C))))) <-> v2_group_1(A)))) # label(d2_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7123 (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].
119.13/118.78	7124 (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].
119.13/118.78	7125 (all A all B (v4_group_1(A) & m1_subset_1(B,u1_struct_0(A)) & l1_group_1(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].
119.13/118.78	7126 (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)) -> (k1_group_1(A,k3_group_1(A,B),k3_group_1(A,C)) = k1_group_1(A,k3_group_1(A,C),k3_group_1(A,B)) <-> k1_group_1(A,C,B) = k1_group_1(A,B,C)))))))) # label(t27_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7127 (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)) -> k6_group_1(A,np__2,B) = k1_group_1(A,B,B))))) # label(t45_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7128 $T # label(t78_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7129 (all A all B all C (m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l1_group_1(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].
119.13/118.78	7130 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> k1_card_1(u1_struct_0(A)) = k8_group_1(A))) # label(d13_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.78	7131 (all A all B all C (m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & l1_group_1(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].
119.13/118.78	7132 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_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].
119.13/118.79	7133 (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)) -> (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].
119.13/118.79	7134 (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) = k6_group_1(A,np__2,B) <-> k3_group_1(A,B) = B))))) # label(t47_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7135 $T # label(t40_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7136 $T # label(t3_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7137 (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)) -> k6_group_1(B,k7_binop_2(A),C) = k3_group_1(B,k6_group_1(B,A,C)))))))) # label(t71_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7138 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (m2_relset_1(B,k2_zfmisc_1(u1_struct_0(A),k5_numbers),u1_struct_0(A)) & v1_funct_2(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)) -> (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)))) & k2_group_1(A) = k2_binop_1(u1_struct_0(A),k5_numbers,u1_struct_0(A),B,C,np__0)))))))) # label(d8_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7139 $T # label(t41_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7140 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> m2_subset_1(k9_group_1(A),k1_numbers,k5_numbers))) # label(dt_k9_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7141 (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)) -> 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].
119.13/118.79	7142 (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)) -> k1_group_1(B,k6_group_1(B,A,C),C) = k6_group_1(B,k2_xcmplx_0(A,np__1),C) & k6_group_1(B,k2_xcmplx_0(A,np__1),C) = k1_group_1(B,C,k6_group_1(B,A,C)))))))) # label(t66_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7143 (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].
119.13/118.79	7144 (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) -> k2_group_1(A) = B))))) # label(t85_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7145 $T # label(t89_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7146 (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)) -> (np__0 = A -> k2_group_1(B) = k6_group_1(B,A,C)))))))) # label(t59_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7147 (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)) -> k6_group_1(A,k7_group_1(A,B),B) = k2_group_1(A))))) # label(t82_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7148 (all A all B (-v3_struct_0(A) & l1_group_1(A) & m1_subset_1(B,u1_struct_0(A)) & v4_group_1(A) & v3_group_1(A) -> m1_subset_1(k3_group_1(A,B),u1_struct_0(A)))) # label(dt_k3_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7149 (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)) -> (exists D (k1_group_1(A,B,D) = C & m1_subset_1(D,u1_struct_0(A)))))))))) # label(t23_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7150 (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) -> C = k3_group_1(A,B)))))))) # label(t12_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7151 (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].
119.13/118.79	7152 (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)) -> 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].
119.13/118.79	7153 $T # label(t57_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7154 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(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)) -> 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].
119.13/118.79	7155 (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)) -> (k1_group_1(B,D,C) = k1_group_1(B,C,D) -> k1_group_1(B,k6_group_1(B,A,D),C) = k1_group_1(B,C,k6_group_1(B,A,D))))))))))) # label(t52_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7156 (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].
119.13/118.79	7157 (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) & k1_group_1(B,k6_group_1(B,A,C),C) = k6_group_1(B,k1_nat_1(A,np__1),C))))))) # label(t49_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7158 $T # label(t93_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7159 (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].
119.13/118.79	7160 (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)) -> k1_group_1(A,C,B) = C & C = k1_group_1(A,B,C) & (exists D (m1_subset_1(D,u1_struct_0(A)) & k1_group_1(A,D,C) = B & B = k1_group_1(A,C,D))))))) | 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].
119.13/118.79	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)) -> (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) -> k3_group_1(A,B) = C & k3_group_1(A,C) = B))))))) # label(t20_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7162 $T # label(t11_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7163 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_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) -> 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))) & (-r1_xreal_0(np__0,B) -> k6_group_1(A,B,C) = 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)))))))))) # label(d9_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7164 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (v6_group_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (B = k9_group_1(A) <-> (exists C (u1_struct_0(A) = C & B = k4_card_1(C) & v1_finset_1(C))))))))) # label(d15_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7165 (all A all B all C (-v3_struct_0(A) & v7_group_1(A) & l1_group_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> k10_group_1(A,B,C) = k1_group_1(A,B,C))) # label(redefinition_k10_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7166 (exists A (l1_group_1(A) & v1_group_1(A))) # label(rc1_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7167 (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_1(A,k1_group_1(A,B,B),B) = k6_group_1(A,np__3,B))))) # label(t46_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7168 $T # label(t9_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7169 (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)) -> (r1_xreal_0(np__0,A) -> k6_group_1(B,A,C) = k6_group_1(B,k1_int_2(A),C)))))))) # label(t55_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7170 (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)) -> B = k3_group_1(A,k3_group_1(A,B)))))) # label(t19_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7171 (all A all B all C (l1_group_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(k1_group_1(A,B,C),u1_struct_0(A)))) # label(dt_k1_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7172 (all 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)) -> C = k1_group_1(A,B,C) & C = k1_group_1(A,C,B))) -> k2_group_1(A) = B))))) # label(t10_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7173 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_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].
119.13/118.79	7174 (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)) -> (r1_xreal_0(A,np__0) -> k3_group_1(B,k6_group_1(B,k1_int_2(A),C)) = k6_group_1(B,A,C)))))))) # label(t60_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7175 (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,B,k1_group_1(A,C,D)) = k1_group_1(A,k1_group_1(A,B,C),D))))))) <-> v4_group_1(A)))) # label(d4_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7176 (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)) -> (k2_group_1(A) = k3_group_1(A,B) -> B = k2_group_1(A)))))) # label(t18_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7177 (all A (-v3_struct_0(A) & l1_group_1(A) & v2_group_1(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].
119.13/118.79	7178 (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),k3_group_1(A,C)) = k3_group_1(A,k1_group_1(A,B,C)) <-> k1_group_1(A,B,C) = k1_group_1(A,C,B)))))))) # label(t26_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7179 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_int_1(B) -> (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,k2_xcmplx_0(A,B),D) = k1_group_1(C,k6_group_1(C,A,D),k6_group_1(C,B,D)))))))))) # label(t64_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7180 (all A (v1_int_1(A) -> (all B (v3_group_1(B) & l1_group_1(B) & v7_group_1(B) & v4_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)) -> k10_group_1(B,k6_group_1(B,A,C),k6_group_1(B,A,D)) = k6_group_1(B,A,k10_group_1(B,C,D)))))))))) # label(t96_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7181 (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].
119.13/118.79	7182 (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_group_1(A,B)) & v1_group_1(g1_group_1(A,B)))) # label(fc1_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7183 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> k8_funct_2(u1_struct_0(A),u1_struct_0(A),B,C) = k3_group_1(A,C))) <-> k4_group_1(A) = B))))) # label(d7_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7184 (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].
119.13/118.79	7185 (all A (-v3_struct_0(A) & l1_group_1(A) -> ((exists B ((all C (m1_subset_1(C,u1_struct_0(A)) -> (exists D (k1_group_1(A,C,D) = B & k1_group_1(A,D,C) = B & m1_subset_1(D,u1_struct_0(A)))) & C = k1_group_1(A,B,C) & k1_group_1(A,C,B) = C)) & m1_subset_1(B,u1_struct_0(A)))) <-> v3_group_1(A)))) # label(d3_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7186 (exists A (v1_group_1(A) & v2_group_1(A) & v4_group_1(A) & v7_group_1(A) & v3_group_1(A) & -v3_struct_0(A) & l1_group_1(A))) # label(rc4_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7187 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_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)) & v1_funct_1(k4_group_1(A)))) # label(dt_k4_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7188 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> v1_card_1(k8_group_1(A)))) # label(dt_k8_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7189 (exists A (v1_group_1(A) & -v3_struct_0(A) & l1_group_1(A))) # label(rc2_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7190 (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_1(A,C) = k3_group_1(A,B) -> C = B))))))) # label(t17_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7191 $T # label(t30_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7192 $T # label(t39_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7193 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(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].
119.13/118.79	7194 (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)) -> (C = k1_group_1(A,k3_group_1(A,B),D) <-> k1_group_1(A,B,C) = D))))))))) # label(t21_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7195 (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)) -> (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,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].
119.13/118.79	7196 (all A (-v3_struct_0(A) & v2_group_1(A) & l1_group_1(A) -> v1_setwiseo(u1_group_1(A),u1_struct_0(A)))) # label(t34_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7197 (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].
119.13/118.79	7198 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & v7_group_1(A) & l1_group_1(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))) & v5_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))))) # label(t97_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7199 (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)) -> (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(t74_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7200 (all A (v3_group_1(A) & v4_group_1(A) & l1_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].
119.13/118.79	7201 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> k7_group_1(A,k2_group_1(A)) = np__1)) # label(t84_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7202 $T # label(t91_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7203 (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) & l1_group_1(C) & v4_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].
119.13/118.79	7204 $T # label(t87_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7205 $T # label(t4_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7206 (exists A l1_group_1(A)) # label(existence_l1_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7207 (all A (v4_group_1(A) & l1_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].
119.13/118.79	7208 $T # label(t1_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7209 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (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)) -> (k2_group_1(B) = k6_group_1(B,A,C) -> r1_nat_1(k7_group_1(B,C),A)))))))) # label(t86_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7210 $T # label(t80_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7211 (all A (v1_int_1(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(B)) -> (-r1_xreal_0(np__0,A) -> k6_group_1(B,A,C) = k3_group_1(B,k6_group_1(B,k1_int_2(A),C))))))))) # label(t56_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7212 (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].
119.13/118.79	7213 (all A (l1_group_1(A) -> m2_relset_1(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_funct_2(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_funct_1(u1_group_1(A)))) # label(dt_u1_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7214 (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)) -> (v5_group_1(B,A) <-> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (k2_group_1(A) = k6_group_1(A,C,B) -> np__0 = C)))))))) # label(d11_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7215 $T # label(t8_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7216 (all A (l1_group_1(A) & v4_group_1(A) & v3_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].
119.13/118.79	7217 (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)) -> 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].
119.13/118.79	7218 (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) -> k6_group_1(B,A,k2_group_1(B)) = k2_group_1(B))))) # label(t42_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7219 (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,B,k3_group_1(A,C)) = k1_group_1(A,k3_group_1(A,C),B)))))))) # label(t28_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7220 $T # label(t29_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7221 (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].
119.13/118.79	7222 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) -> v2_binop_1(u1_group_1(A),u1_struct_0(A)))) # label(t31_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7223 (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,A,k6_group_1(C,B,D)) = k6_group_1(C,k3_xcmplx_0(B,A),D))))))))) # label(t69_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7224 $T # label(t83_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7225 $T # label(t81_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7226 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v1_int_1(B) & m1_subset_1(C,u1_struct_0(A)) & v4_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].
119.13/118.79	7227 (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) = k2_group_1(A) & k1_group_1(A,C,B) = k2_group_1(A) <-> C = k3_group_1(A,B)))))))) # label(d6_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7228 (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,D,B) = C)))))))) # label(t24_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7229 (all A (l1_group_1(A) -> (v1_group_1(A) -> A = g1_group_1(u1_struct_0(A),u1_group_1(A))))) # label(abstractness_v1_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7230 $T # label(t13_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7231 $T # label(t88_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7232 $T # label(t2_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7233 (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,B,k1_group_1(A,C,D)) = k1_group_1(A,k1_group_1(A,B,C),D))))))) & (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,B,D) = C & m1_subset_1(D,u1_struct_0(A)))) & (exists D (C = k1_group_1(A,D,B) & m1_subset_1(D,u1_struct_0(A)))))))) -> v4_group_1(A) & v3_group_1(A)))) # label(t6_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7234 (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)) -> k6_group_1(A,np__1,B) = B)))) # label(t44_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7235 (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)) -> 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].
119.13/118.79	7236 (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].
119.13/118.79	7237 (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) = k6_group_1(A,np__0,B))))) # label(t43_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7238 (all A (l1_group_1(A) & -v3_struct_0(A) -> (v2_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (k2_group_1(A) = B <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_group_1(A,B,C) = C & k1_group_1(A,C,B) = C)))))))) # label(d5_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7239 (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)) -> k3_group_1(B,k6_group_1(B,A,C)) = k6_group_1(B,A,k3_group_1(B,C)))))))) # label(t72_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7240 $T # label(t58_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7241 (all A all B all C (-v1_xboole_0(A) & 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) -> -v3_struct_0(g1_rlvect_1(A,B,C)) & v1_rlvect_1(g1_rlvect_1(A,B,C)))) # label(fc2_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7242 (exists A (l1_group_1(A) & -v3_struct_0(A) & v1_group_1(A) & v4_group_1(A) & v3_group_1(A) & v2_group_1(A))) # label(rc3_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7243 (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) -> (all C all D (g1_group_1(C,D) = g1_group_1(A,B) -> D = B & A = C)))) # label(free_g1_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7244 (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].
119.13/118.79	7245 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v3_group_1(B) & l1_group_1(B) & v7_group_1(B) & v4_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)) -> k10_group_1(B,k6_group_1(B,A,C),k6_group_1(B,A,D)) = k6_group_1(B,A,k10_group_1(B,C,D)))))))))) # label(t95_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7246 (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) -> (v5_group_1(B,A) -> (k7_group_1(A,B) = C <-> C = np__0)) & (-v5_group_1(B,A) -> (C = k7_group_1(A,B) <-> np__0 != C & (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (k6_group_1(A,D,B) = k2_group_1(A) -> D = np__0 | r1_xreal_0(C,D)))) & k6_group_1(A,C,B) = k2_group_1(A))))))))) # label(d12_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7247 (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,D,E) = k1_group_1(C,E,D) -> 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(t75_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7248 (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) -> l1_group_1(g1_group_1(A,B)) & v1_group_1(g1_group_1(A,B)))) # label(dt_g1_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7249 (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_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_group_1(A),B,C) = k1_group_1(A,B,C))))))) # label(d1_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7250 (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,B,D) = k1_group_1(A,B,C) | k1_group_1(A,C,B) = k1_group_1(A,D,B) -> D = C))))))))) # label(t14_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7251 (all A (v1_int_1(A) -> (all B (l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> k6_group_1(B,A,k2_group_1(B)) = k2_group_1(B))))) # label(t61_group_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7252 (exists A (-v3_struct_0(A) & v3_rlvect_1(A) & v7_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v3_vectsp_1(A) & v4_group_1(A) & v2_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & l3_vectsp_1(A))) # label(rc10_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7253 $T # label(t11_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7254 (all A (l1_struct_0(A) -> (exists B l4_vectsp_1(B,A)))) # label(existence_l4_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7255 (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].
119.13/118.79	7256 $T # label(t77_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7257 $T # label(d10_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7258 (exists A (l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & v1_rlvect_1(A) & -v3_struct_0(A))) # label(rc1_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7259 $T # label(t62_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7260 (all 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) & -v3_struct_0(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].
119.13/118.79	7261 (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)) -> k5_rlvect_1(A,B) = k6_rlvect_1(A,k1_rlvect_1(A),B) & B = k6_rlvect_1(A,B,k1_rlvect_1(A)))))) # label(t65_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7262 $T # label(t57_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7263 $T # label(t28_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7264 $T # label(d5_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7265 $T # label(d3_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7266 (all A all B all C all D (l1_struct_0(A) & -v3_struct_0(B) & l4_vectsp_1(B,A) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(C,u1_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].
119.13/118.79	7267 (exists A (l1_vectsp_1(A) & v1_vectsp_1(A))) # label(rc2_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7268 $T # label(t85_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7269 (all A (-v3_struct_0(A) & l1_rlvect_1(A) -> (-v3_struct_0(A) & v3_rlvect_1(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)) -> k2_rlvect_1(A,C,B) = k2_rlvect_1(A,B,C) & k2_rlvect_1(A,k2_rlvect_1(A,B,C),D) = k2_rlvect_1(A,B,k2_rlvect_1(A,C,D)) & (exists E (m1_subset_1(E,u1_struct_0(A)) & k2_rlvect_1(A,B,E) = k1_rlvect_1(A))) & B = k2_rlvect_1(A,B,k1_rlvect_1(A))))))))))) # label(t7_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7270 (exists A (v3_vectsp_1(A) & -v3_struct_0(A) & l3_vectsp_1(A))) # label(rc7_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7271 (all A (v5_rlvect_1(A) & v4_group_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) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_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_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].
119.13/118.79	7272 $T # label(t83_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7273 (all A all B all C all D all E (v1_funct_1(B) & 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) & v1_funct_1(C) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,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].
119.13/118.79	7274 (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) -> 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].
119.13/118.79	7275 $T # label(d17_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7276 (exists A (v4_rlvect_1(A) & v2_group_1(A) & v4_group_1(A) & v7_group_1(A) & v4_vectsp_1(A) & -v10_vectsp_1(A) & v13_vectsp_1(A) & v9_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v5_vectsp_1(A) & v3_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) & l3_vectsp_1(A))) # label(rc15_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7277 (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)) -> k1_group_1(A,k6_rlvect_1(A,B,C),D) = k6_rlvect_1(A,k1_group_1(A,B,D),k1_group_1(A,C,D)))))))))) # label(t45_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7278 $T # label(d7_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7279 (all A all B (l4_vectsp_1(B,A) & l1_struct_0(A) -> v1_funct_2(u2_vectsp_1(A,B),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(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_1(u2_vectsp_1(A,B)))) # label(dt_u2_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7280 (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)) -> k2_rlvect_1(A,B,C) = k5_rlvect_1(A,k2_rlvect_1(A,k5_rlvect_1(A,C),k5_rlvect_1(A,B))))))))) # label(t89_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7281 (exists A l2_vectsp_1(A)) # label(existence_l2_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7282 (exists A (l1_vectsp_1(A) & v2_group_1(A) & v7_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & -v3_struct_0(A))) # label(rc9_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7283 $T # label(t23_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7284 (all A (l1_vectsp_1(A) -> k2_vectsp_1(A) = u1_vectsp_1(A))) # label(d9_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7285 $T # label(t25_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7286 $T # label(t17_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7287 (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)) -> 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].
119.13/118.79	7288 (all A (-v3_struct_0(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) -> (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) -> (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,k5_rlvect_1(B,D)) = k5_rlvect_1(B,k6_vectsp_1(A,B,C,D)))))))))) # label(t69_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7289 $T # label(t58_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7290 $T # label(t38_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7291 (all A (l1_struct_0(A) -> (exists B (v11_vectsp_1(B,A) & -v3_struct_0(B) & l4_vectsp_1(B,A))))) # label(rc12_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7292 $T # label(t72_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7293 $T # label(t46_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7294 $T # label(t19_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7295 $T # label(d8_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7296 (all 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) & 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)) -> (B != k1_rlvect_1(A) -> k1_rlvect_1(A) != k4_vectsp_1(A,B) & k1_rlvect_1(A) != k5_rlvect_1(A,k4_vectsp_1(A,B))))))) # label(t74_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7297 $T # label(t52_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7298 $T # label(t75_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7299 (exists A l1_vectsp_1(A)) # label(existence_l1_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7300 (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) -> C = B))))))) # label(t84_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7301 $T # label(t5_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7302 (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)) -> (B = C -> k1_rlvect_1(A) = k2_rlvect_1(A,B,k5_rlvect_1(A,C))) & (B = C -> k6_rlvect_1(A,B,C) = k1_rlvect_1(A)) & (k1_rlvect_1(A) = k6_rlvect_1(A,B,C) -> B = C) & (k1_rlvect_1(A) = k2_rlvect_1(A,B,k5_rlvect_1(A,C)) -> C = B))))))) # label(t66_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7303 (all A (l1_rlvect_1(A) & -v3_struct_0(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)) -> 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].
119.13/118.79	7304 (all A all B all C all D all E (-v1_xboole_0(B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(D,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_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_1(C) & l1_struct_0(A) -> -v3_struct_0(g4_vectsp_1(A,B,C,D,E)) & v11_vectsp_1(g4_vectsp_1(A,B,C,D,E),A))) # label(fc6_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7305 (exists A (-v3_struct_0(A) & v2_vectsp_1(A) & l2_vectsp_1(A))) # label(rc5_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7306 (all A (-v3_struct_0(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) & 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 (-v3_struct_0(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v12_vectsp_1(C,A) & l4_vectsp_1(C,A) & v4_rlvect_1(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (k1_rlvect_1(C) = k6_vectsp_1(A,C,B,D) <-> k1_rlvect_1(A) = B | k1_rlvect_1(C) = D))))))))) # label(t60_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7307 (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,B,C),k1_group_1(A,B,D)) = k1_group_1(A,B,k2_rlvect_1(A,C,D)))))))) <-> v4_vectsp_1(A)))) # label(d11_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7308 (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)) -> k6_rlvect_1(A,k5_rlvect_1(A,D),C) = k5_rlvect_1(A,k2_rlvect_1(A,C,D)) & k2_rlvect_1(A,D,C) = k5_rlvect_1(A,k6_rlvect_1(A,k5_rlvect_1(A,C),D)) & k6_rlvect_1(A,k6_rlvect_1(A,B,C),D) = k6_rlvect_1(A,B,k2_rlvect_1(A,D,C)) & k2_rlvect_1(A,D,k5_rlvect_1(A,C)) = k5_rlvect_1(A,k6_rlvect_1(A,C,D)) & k5_rlvect_1(A,k2_rlvect_1(A,D,k5_rlvect_1(A,C))) = k6_rlvect_1(A,C,D))))))))) # label(t64_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7309 $T # label(t61_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7310 (all A all B all C (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_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].
119.13/118.79	7311 $T # label(t51_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7312 $T # label(t37_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7313 (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].
119.13/118.79	7314 (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].
119.13/118.79	7315 (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) -> E = B & F = C & D = A)))) # label(free_g1_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7316 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> l1_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))) & v4_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))) & -v3_struct_0(g1_group_1(u1_struct_0(A),u1_rlvect_1(A))))) # label(t94_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7317 $T # label(t27_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.79	7318 (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 (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_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].
119.13/118.79	7319 (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,A,k4_rlvect_1(k3_vectsp_1,B,C)) = k4_rlvect_1(k3_vectsp_1,k4_rlvect_1(k3_vectsp_1,A,B),C) & k10_group_1(k3_vectsp_1,k10_group_1(k3_vectsp_1,A,B),C) = k10_group_1(k3_vectsp_1,A,k10_group_1(k3_vectsp_1,B,C)) & k10_group_1(k3_vectsp_1,k2_group_1(k3_vectsp_1),A) = A & -(k1_rlvect_1(k3_vectsp_1) != A & (all D (m1_subset_1(D,u1_struct_0(k3_vectsp_1)) -> k2_group_1(k3_vectsp_1) != k10_group_1(k3_vectsp_1,A,D)))) & k10_group_1(k3_vectsp_1,A,k4_rlvect_1(k3_vectsp_1,B,C)) = 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,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)) & 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)) & A = k4_rlvect_1(k3_vectsp_1,A,k1_rlvect_1(k3_vectsp_1)) & k4_rlvect_1(k3_vectsp_1,B,A) = k4_rlvect_1(k3_vectsp_1,A,B))))))) # label(t21_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7320 $T # label(t29_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7321 $T # label(t18_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7322 (exists A (l1_rlvect_1(A) & v13_vectsp_1(A) & -v3_struct_0(A))) # label(rc14_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7323 (exists A l3_vectsp_1(A)) # label(existence_l3_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7324 $T # label(t53_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7325 (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(D,A) & m1_subset_1(C,A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) -> (all E all F all G all H (g2_vectsp_1(E,F,G,H) = g2_vectsp_1(A,B,C,D) -> A = E & B = F & C = G & H = D)))) # label(free_g2_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7326 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_vectsp_1(A) & l3_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)) -> 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].
119.13/118.80	7327 (all A (l3_vectsp_1(A) -> (v4_vectsp_1(A) & v5_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].
119.13/118.80	7328 (all A (-v3_struct_0(A) & l3_vectsp_1(A) -> (all B (l4_vectsp_1(B,A) & -v3_struct_0(B) -> (v12_vectsp_1(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(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,D,E)) = k6_vectsp_1(A,B,k2_rlvect_1(A,C,D),E) & k6_vectsp_1(A,B,k2_group_1(A),E) = E & k6_vectsp_1(A,B,C,k6_vectsp_1(A,B,D,E)) = k6_vectsp_1(A,B,k1_group_1(A,C,D),E) & 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))))))))))))))) # label(d26_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7329 (all A (l1_vectsp_1(A) & -v3_struct_0(A) -> (v6_vectsp_1(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k1_group_1(A,B,k2_group_1(A))))))) # label(d13_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7330 $T # label(d4_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7331 $T # label(t49_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7332 $T # label(t13_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7333 $T # label(t4_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7334 $T # label(t71_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7335 (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)) -> 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)))))))))) # label(d18_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7336 $T # label(t54_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7337 (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].
119.13/118.80	7338 $T # label(t82_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7339 $T # label(d16_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7340 $T # label(t30_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7341 (exists A (v2_vectsp_1(A) & l2_vectsp_1(A))) # label(rc4_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7342 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> v1_funct_1(k7_vectsp_1(A)) & v1_funct_2(k7_vectsp_1(A),u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(k7_vectsp_1(A),u1_struct_0(A),u1_struct_0(A)))) # label(dt_k7_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7343 (all A (-v3_struct_0(A) & l1_struct_0(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(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].
119.13/118.80	7344 (all A (-v3_struct_0(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) -> (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)) -> k1_rlvect_1(C) = k6_vectsp_1(A,C,k1_rlvect_1(A),D) & k1_rlvect_1(C) = k6_vectsp_1(A,C,B,k1_rlvect_1(C)) & k6_vectsp_1(A,C,k5_rlvect_1(A,k2_group_1(A)),D) = k5_rlvect_1(C,D))))))))) # label(t59_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7345 $T # label(t2_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7346 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_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)) -> (B = k1_rlvect_1(A) | C = k1_rlvect_1(A) <-> k10_group_1(A,B,C) = k1_rlvect_1(A)))))))) # label(t44_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7347 $T # label(t91_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7348 (all A (-v3_struct_0(A) & v4_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_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].
119.13/118.80	7349 $T # label(t79_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7350 $T # label(t56_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7351 $T # label(t50_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7352 $T # label(t24_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7353 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v5_vectsp_1(A) & v5_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].
119.13/118.80	7354 (exists A (l1_group_1(A) & -v3_struct_0(A) & v7_group_1(A) & v4_group_1(A))) # label(rc8_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7355 (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].
119.13/118.80	7356 $T # label(d27_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7357 (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)) -> k6_rlvect_1(A,C,B) = k5_rlvect_1(A,k6_rlvect_1(A,B,C)))))))) # label(t81_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7358 (all A (l1_vectsp_1(A) -> (v8_vectsp_1(A) & v7_group_1(A) & -v3_struct_0(A) -> -v3_struct_0(A) & v6_vectsp_1(A)))) # label(cc5_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7359 $T # label(t1_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7360 $T # label(t9_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7361 (all A (-v3_struct_0(A) & l1_vectsp_1(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].
119.13/118.80	7362 (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)) -> k2_group_1(A) != k1_group_1(A,B,C))) & B != k1_rlvect_1(A)))) <-> v9_vectsp_1(A)))) # label(d20_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7363 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & l3_vectsp_1(A) & v5_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)) -> k5_rlvect_1(A,k1_group_1(A,B,C)) = k1_group_1(A,k5_rlvect_1(A,B),C))))))) # label(t41_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7364 $T # label(d1_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7365 (all A (-v3_struct_0(A) & l3_vectsp_1(A) & v4_vectsp_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)) -> k1_group_1(A,B,k6_rlvect_1(A,C,D)) = k6_rlvect_1(A,k1_group_1(A,B,C),k1_group_1(A,B,D)))))))))) # label(t43_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7366 (all A all B all C all D all E (m1_relset_1(B,k2_zfmisc_1(A,A),A) & 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) & v1_funct_1(C) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all F all G all H all I all J (g3_vectsp_1(F,G,H,I,J) = g3_vectsp_1(A,B,C,D,E) -> A = F & C = H & J = E & D = I & B = G)))) # label(free_g3_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7367 $T # label(d14_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7368 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & v7_group_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)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (k6_rlvect_1(A,C,k10_group_1(A,D,B)) = k1_rlvect_1(A) -> k10_group_1(A,C,k4_vectsp_1(A,B)) = D | k1_rlvect_1(A) = B) & (k6_rlvect_1(A,k10_group_1(A,B,D),C) = k1_rlvect_1(A) -> k1_rlvect_1(A) = B | D = k10_group_1(A,C,k4_vectsp_1(A,B))))))))))) # label(t88_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7369 $T # label(t80_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7370 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_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)) -> k1_group_1(A,k5_rlvect_1(A,B),k5_rlvect_1(A,C)) = k1_group_1(A,B,C))))))) # label(t42_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7371 (exists A (v3_vectsp_1(A) & l3_vectsp_1(A))) # label(rc6_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7372 $T # label(t8_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7373 $T # label(t3_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7374 $T # label(t16_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7375 (all A (-v3_struct_0(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(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)) -> k5_vectsp_1(A,B,C) = k10_group_1(A,B,k4_vectsp_1(A,C)))))))) # label(d23_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7376 (all A all B all C (v7_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(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].
119.13/118.80	7377 $T # label(t26_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7378 $T # label(t14_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7379 (all A all B (-v3_struct_0(A) & v4_group_1(A) & v7_group_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & m1_subset_1(B,u1_struct_0(A)) & l3_vectsp_1(A) & v7_vectsp_1(A) -> m1_subset_1(k4_vectsp_1(A,B),u1_struct_0(A)))) # label(dt_k4_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7380 $T # label(t31_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7381 (all A (l1_struct_0(A) -> (exists B (v11_vectsp_1(B,A) & l4_vectsp_1(B,A))))) # label(rc11_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7382 (all A (l1_vectsp_1(A) -> (v2_group_1(A) & -v3_struct_0(A) -> -v3_struct_0(A) & v6_vectsp_1(A) & v8_vectsp_1(A)))) # label(cc3_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7383 (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,B,A) = k4_rlvect_1(k1_vectsp_1,A,B) & A = k4_rlvect_1(k1_vectsp_1,A,k1_rlvect_1(k1_vectsp_1)) & k1_rlvect_1(k1_vectsp_1) = k4_rlvect_1(k1_vectsp_1,A,k5_rlvect_1(k1_vectsp_1,A)) & k4_rlvect_1(k1_vectsp_1,A,k4_rlvect_1(k1_vectsp_1,B,C)) = k4_rlvect_1(k1_vectsp_1,k4_rlvect_1(k1_vectsp_1,A,B),C))))))) # label(t6_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7384 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (v13_vectsp_1(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (k2_rlvect_1(A,B,B) = k1_rlvect_1(A) -> B = k1_rlvect_1(A))))))) # label(d28_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7385 $T # label(t32_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7386 $T # label(t76_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7387 (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,k2_rlvect_1(A,C,B),k2_rlvect_1(A,D,B)) = k6_rlvect_1(A,C,D))))))))) # label(t90_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7388 (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].
119.13/118.80	7389 (all 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) & -v3_struct_0(A) -> (exists B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & v11_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & l4_vectsp_1(B,A))))) # label(rc13_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7390 (all A (l3_vectsp_1(A) -> (v7_vectsp_1(A) & -v3_struct_0(A) -> -v3_struct_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A)))) # label(cc1_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7391 (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)) -> 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].
119.13/118.80	7392 $T # label(d2_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7393 $T # label(t48_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7394 (all A (l3_vectsp_1(A) & -v3_struct_0(A) -> (v5_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,k2_rlvect_1(A,C,D),B) = k2_rlvect_1(A,k1_group_1(A,C,B),k1_group_1(A,D,B))))))))))) # label(d12_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7395 $T # label(t47_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7396 (all A (l1_vectsp_1(A) -> (v8_vectsp_1(A) & v6_vectsp_1(A) & -v3_struct_0(A) -> v2_group_1(A) & -v3_struct_0(A)))) # label(cc4_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7397 (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) = k6_rlvect_1(A,B,C) -> k6_rlvect_1(A,C,B) = k1_rlvect_1(A)))))))) # label(t87_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7398 (all A (v6_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) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (v13_vectsp_1(A) <-> k1_rlvect_1(A) != k2_rlvect_1(A,k2_group_1(A),k2_group_1(A))))) # label(d29_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7399 $T # label(t15_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7400 $T # label(t35_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7401 (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) & v7_vectsp_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v4_group_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) & v12_vectsp_1(C,A) & l4_vectsp_1(C,A) & v4_rlvect_1(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (B != k1_rlvect_1(A) -> 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].
119.13/118.80	7402 $T # label(t34_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7403 (all A (-v3_struct_0(A) & l3_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)) & 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) & -(k1_rlvect_1(A) != B & (all E (m1_subset_1(E,u1_struct_0(A)) -> k1_group_1(A,B,E) != k2_group_1(A)))))))))) <-> v9_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & -v3_struct_0(A)))) # label(t22_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7404 (all A (v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v9_vectsp_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)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (k10_group_1(A,B,C) = k10_group_1(A,B,D) -> D = C | k1_rlvect_1(A) = B))))))))) # label(t33_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7405 (exists A (l1_vectsp_1(A) & v1_vectsp_1(A) & -v3_struct_0(A))) # label(rc3_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7406 (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) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & v5_rlvect_1(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].
119.13/118.80	7407 (all A (l2_vectsp_1(A) -> (v2_vectsp_1(A) -> g2_vectsp_1(u1_struct_0(A),u1_group_1(A),u1_vectsp_1(A),u2_struct_0(A)) = A))) # label(abstractness_v2_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7408 (all A (-v3_struct_0(A) & l2_vectsp_1(A) -> (v10_vectsp_1(A) <-> k2_group_1(A) = k1_rlvect_1(A)))) # label(d21_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7409 $T # label(t12_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7410 (all A all B all C all D all E (l1_struct_0(A) & v1_funct_2(C,k2_zfmisc_1(B,B),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) & m1_subset_1(D,B) & m1_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_1(C) -> (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) -> G = B & C = H & D = I & E = J & A = F)))) # label(free_g4_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7411 $T # label(t10_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7412 (all A (l1_vectsp_1(A) -> l1_group_1(A))) # label(dt_l1_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7413 (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)) -> (C = k5_rlvect_1(A,B) <-> k2_rlvect_1(A,B,C) = k1_rlvect_1(A)))))))) # label(t63_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7414 (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].
119.13/118.80	7415 (all A all B all C all D all E (v1_funct_1(C) & m1_subset_1(D,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_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & l1_struct_0(A) -> v11_vectsp_1(g4_vectsp_1(A,B,C,D,E),A) & l4_vectsp_1(g4_vectsp_1(A,B,C,D,E),A))) # label(dt_g4_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7416 $T # label(t55_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7417 (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].
119.13/118.80	7418 (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)) -> (k5_rlvect_1(A,B) = k1_rlvect_1(A) -> k1_rlvect_1(A) = B))))) # label(t86_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7419 (all A ((all B -(v1_finset_1(B) & k1_xboole_0 = k1_setfam_1(B) & r1_tarski(B,A) & B != k1_xboole_0)) & A != k1_xboole_0 <-> v1_compts_1(A))) # label(d2_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7420 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (v3_compts_1(A) & v2_compts_1(A) -> v4_compts_1(A)))) # label(t21_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7421 $T # label(t2_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7422 (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(D,C) & v1_finset_1(D) & r1_compts_1(A,D,B)))) & v1_tops_2(C,A) & r1_compts_1(A,C,B)))) <-> v6_compts_1(B,A)))))) # label(d7_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7423 (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].
119.13/118.80	7424 (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 | (v2_compts_1(k3_pre_topc(A,B)) <-> v6_compts_1(B,A))) & (B = k1_xboole_0 -> (v2_compts_1(k3_pre_topc(A,B)) <-> v6_compts_1(B,A))))))) # label(t12_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7425 (all A (v2_pre_topc(A) & l1_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].
119.13/118.80	7426 (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].
119.13/118.80	7427 (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].
119.13/118.80	7428 (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 & v4_pre_topc(B,A) & v4_pre_topc(C,A) & r1_xboole_0(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))) -> -(r1_tarski(C,E) & r1_xboole_0(D,E) & r1_tarski(B,D) & v3_pre_topc(E,A) & v3_pre_topc(D,A)))))) & C != k1_xboole_0))))) <-> v5_compts_1(A)))) # label(d6_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7429 (all 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 (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)) -> (v2_compts_1(A) & v5_pre_topc(C,A,B) & k2_relat_1(C) = k2_pre_topc(B) & v3_compts_1(B) -> (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].
119.13/118.80	7430 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (v2_compts_1(A) <-> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(v2_tops_2(B,A) & k1_xboole_0 = k6_setfam_1(u1_struct_0(A),B) & (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(C != k1_xboole_0 & v1_finset_1(C) & k6_setfam_1(u1_struct_0(A),C) = k1_xboole_0 & r1_tarski(C,B)))) & B != k1_xboole_0)))))) # label(t14_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7431 $T # label(t5_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7432 (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) -> (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))) -> -(v3_pre_topc(E,A) & r2_hidden(C,D) & r1_xboole_0(D,E) & r1_tarski(B,E) & v3_pre_topc(D,A))))))))) | B = k1_xboole_0)))))) # label(t15_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7433 (all 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))) -> -(k1_xboole_0 != C & v4_pre_topc(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))) -> -(v3_pre_topc(D,A) & v3_pre_topc(E,A) & r2_hidden(B,D) & r1_xboole_0(D,E) & r1_tarski(C,E)))))) & r2_hidden(B,k3_subset_1(u1_struct_0(A),C))))))) <-> v4_compts_1(A)))) # label(d5_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7434 (all A (l1_pre_topc(A) -> (v2_compts_1(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) & v1_finset_1(C) & r1_pre_topc(A,C)))) & v1_tops_2(B,A))))))) # label(d3_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7435 $T # label(t1_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7436 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (v2_compts_1(A) <-> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(v1_compts_1(B) & k1_xboole_0 = k6_setfam_1(u1_struct_0(A),B) & v2_tops_2(B,A))))))) # label(t13_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7437 (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].
119.13/118.80	7438 $T # label(t4_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7439 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v6_compts_1(B,A) & v3_compts_1(A) -> v4_pre_topc(B,A)))))) # label(t16_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7440 (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(B,A) & v6_compts_1(C,A) -> v6_compts_1(k4_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t19_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7441 (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) & r1_tarski(C,B) & v6_compts_1(B,A) -> v6_compts_1(C,A)))))))) # label(t18_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7442 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (-v3_struct_0(C) & l1_pre_topc(C) -> (all D (v1_funct_2(D,u1_struct_0(A),u1_struct_0(C)) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(C)) & v1_funct_1(D) -> (v5_pre_topc(D,A,C) & v6_compts_1(B,A) & k2_pre_topc(C) = k2_relat_1(D) -> v6_compts_1(k4_pre_topc(A,C,D,B),C)))))))))) # label(t24_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7443 (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)) -> ((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(t11_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7444 (all A (l1_pre_topc(A) -> v6_compts_1(k1_pre_topc(A),A))) # label(t9_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7445 $T # label(t3_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7446 (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) & r1_xboole_0(D,E) & r2_hidden(C,E) & v3_pre_topc(D,A)))))) & B != C)))))))) # label(d4_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7447 $T # label(t7_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7448 (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) -> (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].
119.13/118.80	7449 $T # label(t8_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7450 (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) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) -> (v2_funct_1(C) & v5_pre_topc(C,A,B) & k2_pre_topc(B) = k2_relat_1(C) & k2_pre_topc(A) = k1_relat_1(C) & v3_compts_1(B) & v2_compts_1(A) -> v3_tops_2(C,A,B)))))))) # label(t26_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7451 $T # label(t6_compts_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7452 (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].
119.13/118.80	7453 (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].
119.13/118.80	7454 (all A all B all C (v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & l1_orders_2(B) & -v3_struct_0(B) -> ((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,D,E)))))) <-> r2_hidden(A,a_2_1_orders_2(B,C))))) # label(fraenkel_a_2_1_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7455 (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,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_orders_2(A,B,C) <-> r2_hidden(C,k1_orders_2(A,k1_struct_0(A,B)))))))))) # label(t51_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7456 (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)) -> (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_orders_2(A,B,C) & m1_orders_2(E,A,D) & r2_hidden(C,E) & r2_hidden(B,D) -> r2_hidden(B,E)))))))))))) # label(t70_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7457 $T # label(t147_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7458 (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)) -> -((exists D (v5_orders_2(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & r2_hidden(B,D) & r2_hidden(C,D))) & -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(C,D) & r2_hidden(B,D)))) & (r1_orders_2(A,C,B) | r1_orders_2(A,B,C))))))))) # label(t38_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7459 $T # label(t134_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7460 $T # label(t34_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7461 (all A (-v3_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & v2_orders_2(A) -> (all B (v5_orders_2(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> v3_orders_1(k2_wellord1(u1_orders_2(A),B)))))) # label(t109_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7462 (all A all B (m1_relset_1(B,A,A) & -v1_xboole_0(A) -> v1_orders_2(g1_orders_2(A,B)) & -v3_struct_0(g1_orders_2(A,B)))) # label(fc1_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7463 $T # label(d1_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7464 $T # label(t153_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7465 $T # label(t127_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7466 $T # label(t130_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7467 $T # label(t16_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7468 $T # label(t143_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7469 (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))) -> -(m1_orders_2(B,A,B) & B != k1_xboole_0) & -(-m1_orders_2(B,A,B) & B = k1_xboole_0))))) # label(t68_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7470 $T # label(t100_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7471 (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].
119.13/118.80	7472 (all A (l1_orders_2(A) -> (r8_relat_2(u1_orders_2(A),u1_struct_0(A)) <-> v3_orders_2(A)))) # label(d5_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7473 $T # label(t8_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7474 $T # label(t94_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7475 $T # label(t123_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7476 $T # label(t77_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7477 $T # label(t2_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7478 $T # label(d3_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7479 (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))) -> (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].
119.13/118.80	7480 $T # label(t128_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7481 $T # label(t110_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7482 (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].
119.13/118.80	7483 $T # label(t91_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7484 $T # label(t120_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7485 $T # label(t97_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7486 $T # label(t116_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7487 (all A (v2_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)) -> ((exists D (v5_orders_2(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & r2_hidden(C,D) & r2_hidden(B,D))) <-> (r2_orders_2(A,B,C) <-> -r1_orders_2(A,C,B))))))))) # label(t39_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7488 (exists A l1_orders_2(A)) # label(existence_l1_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7489 $T # label(t6_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7490 $T # label(t137_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7491 (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))) -> k3_relat_1(k2_wellord1(u1_orders_2(A),B)) = B)))) # label(t107_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7492 (all A (v2_orders_2(A) & v3_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & -v3_struct_0(A) -> (all B (v5_orders_2(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> r3_orders_1(u1_orders_2(A),B))))) # label(t136_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7493 (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))) -> (all C (m1_orders_2(C,A,B) -> r1_tarski(C,B))))))) # label(t67_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7494 $T # label(t54_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7495 $T # label(t20_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7496 (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].
119.13/118.80	7497 (all A all B all C (v2_orders_2(B) & v3_orders_2(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v4_orders_2(B) & -v3_struct_0(B) -> (r2_hidden(A,a_2_0_orders_2(B,C)) <-> (exists D ((all E (m1_subset_1(E,u1_struct_0(B)) -> (r2_hidden(E,C) -> r2_orders_2(B,E,D)))) & A = D & m1_subset_1(D,u1_struct_0(B))))))) # label(fraenkel_a_2_0_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7498 (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,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].
119.13/118.80	7499 (all A all B (v4_orders_2(A) & l1_orders_2(A) & m1_orders_1(B,k1_orders_1(u1_struct_0(A))) & v3_orders_2(A) & v2_orders_2(A) & -v3_struct_0(A) -> -v1_xboole_0(k4_orders_2(A,B)))) # label(fc5_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7500 (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].
119.13/118.80	7501 $T # label(t142_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7502 $T # label(t156_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7503 (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,k3_orders_2(A,D,C)) <-> r2_hidden(B,D) & r2_orders_2(A,B,C)))))))))) # label(t57_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7504 (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,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].
119.13/118.80	7505 $T # label(t112_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7506 (all A (l1_orders_2(A) -> l1_struct_0(A))) # label(dt_l1_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7507 (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].
119.13/118.80	7508 (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))) -> (r3_orders_1(u1_orders_2(A),B) -> v5_orders_2(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))))))) # label(t135_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7509 $T # label(t17_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7510 (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_0_orders_2(A,B) = k1_orders_2(A,B))))) # label(d12_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7511 (all A (l1_orders_2(A) -> (all B (v5_orders_2(B,A) & 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) -> v5_orders_2(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))))))))) # label(t37_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7512 (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].
119.13/118.80	7513 $T # label(t114_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7514 $T # label(t53_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7515 $T # label(t42_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7516 $T # label(t148_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7517 $T # label(t95_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7518 $T # label(t13_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7519 (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))) -> (v3_orders_1(k2_wellord1(u1_orders_2(A),B)) -> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v5_orders_2(B,A)))))) # label(t108_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7520 $T # label(t31_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7521 (all A all B (m1_orders_1(B,k1_orders_1(u1_struct_0(A))) & l1_orders_2(A) & v4_orders_2(A) & v3_orders_2(A) & v2_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].
119.13/118.80	7522 (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_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) -> (C != D -> (m1_orders_2(C,A,D) <-> -m1_orders_2(D,A,C))))))))))) # label(t83_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7523 $T # label(dt_k4_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7524 (exists A (v1_orders_2(A) & l1_orders_2(A))) # label(rc1_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7525 (all A (v2_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & v3_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)) & v1_relat_1(u1_orders_2(A)))) # label(fc2_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.80	7526 $T # label(t76_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7527 (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)) -> (B != C -> r2_orders_2(A,B,C)))) <-> r9_orders_1(u1_orders_2(A),B)))))) # label(t161_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7528 $T # label(t21_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7529 $T # label(t141_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7530 (all A (-v3_struct_0(A) & v2_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & v3_orders_2(A) -> k2_orders_2(A,k2_pre_topc(A)) = k1_xboole_0)) # label(t46_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7531 (all A all B (-v3_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & l1_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,D) & r2_hidden(A,k2_orders_2(B,k1_struct_0(B,C))) <-> r2_hidden(A,k3_orders_2(B,D,C))))))))) # label(t56_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7532 $T # label(t132_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7533 (all A all B (m1_relset_1(B,A,A) -> (all C all D (g1_orders_2(A,B) = g1_orders_2(C,D) -> B = D & A = C)))) # label(free_g1_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7534 (all A (l1_orders_2(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)) & v2_membered(k1_pre_topc(A)) & v1_membered(k1_pre_topc(A)) & v1_xboole_0(k1_pre_topc(A)))) # label(fc4_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7535 (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)) -> (B != C & r1_orders_2(A,B,C) <-> r2_orders_2(A,B,C)))))))) # label(d10_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7536 $T # label(t33_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7537 $T # label(t101_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7538 $T # label(t121_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7539 (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_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))) -> (k1_xboole_0 != C & r2_wellord1(u1_orders_2(A),C) & (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,C) -> k1_funct_1(B,k1_orders_2(A,k3_orders_2(A,C,D))) = D))) <-> m2_orders_2(C,A,B)))))))) # label(d16_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7540 $T # label(t27_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7541 $T # label(t129_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7542 $T # label(t146_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7543 (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)) -> (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].
119.13/118.81	7544 $T # label(t119_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7545 (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))) -> m2_orders_2(k3_tarski(k4_orders_2(A,B)),A,B))))) # label(t89_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7546 (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)) -> (exists C (r2_orders_2(A,C,B) & m1_subset_1(C,u1_struct_0(A)))))) & (all B (v5_orders_2(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (exists C ((all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,B) -> r3_orders_2(A,C,D)))) & m1_subset_1(C,u1_struct_0(A))))))))) # label(t163_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7547 $T # label(t92_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7548 $T # label(t152_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7549 (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)) -> -(r2_orders_2(A,C,B) & r2_orders_2(A,B,C)))))))) # label(t28_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7550 (all A (v2_orders_2(A) & v3_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & -v3_struct_0(A) -> k2_orders_2(A,k1_pre_topc(A)) = u1_struct_0(A))) # label(t45_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7551 $T # label(t140_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7552 $T # label(t63_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7553 $T # label(t145_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7554 $T # label(t144_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7555 (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].
119.13/118.81	7556 (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_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].
119.13/118.81	7557 $T # label(t125_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7558 $T # label(t154_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7559 $T # label(t157_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7560 (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_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].
119.13/118.81	7561 $T # label(t19_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7562 (all A all B (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) & -v3_struct_0(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].
119.13/118.81	7563 $T # label(t22_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7564 (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,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].
119.13/118.81	7565 $T # label(t122_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7566 $T # label(t58_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7567 $T # label(t66_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7568 (all A (-v3_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & v2_orders_2(A) -> k1_orders_2(A,k2_pre_topc(A)) = k1_xboole_0)) # label(t44_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7569 $T # label(d2_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7570 (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) -> (exists C m1_orders_2(C,A,B)))) # label(existence_m1_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7571 $T # label(t113_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7572 (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)) -> k3_orders_2(A,k1_pre_topc(A),B) = k1_xboole_0)))) # label(t60_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7573 (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].
119.13/118.81	7574 (exists A (l1_orders_2(A) & -v3_struct_0(A) & v1_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_orders_2(A))) # label(rc2_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7575 $T # label(t102_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7576 (all A all B (-v3_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & m1_orders_1(B,k1_orders_1(u1_struct_0(A))) & l1_orders_2(A) & v2_orders_2(A) -> (all C (m2_orders_2(C,A,B) -> v5_orders_2(C,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))))))) # label(dt_m2_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7577 $T # label(t103_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7578 $T # label(t74_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7579 (all A (l1_orders_2(A) -> (v2_orders_2(A) <-> r1_relat_2(u1_orders_2(A),u1_struct_0(A))))) # label(d4_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7580 $T # label(t149_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7581 (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].
119.13/118.81	7582 (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))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k3_orders_2(A,B,C) = k5_subset_1(u1_struct_0(A),k2_orders_2(A,k1_struct_0(A,C)),B))))))) # label(d14_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7583 $T # label(t10_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7584 $T # label(t155_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7585 (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,k1_orders_2(A,k1_struct_0(A,B))))))) # label(t48_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7586 $T # label(d8_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7587 (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_hidden(k4_tarski(B,C),u1_orders_2(A)) <-> r1_orders_2(A,B,C)))))))) # label(d9_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7588 $T # label(t15_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7589 $T # label(t3_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7590 (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)) -> -r2_hidden(B,k2_orders_2(A,k1_struct_0(A,B))))))) # label(t50_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7591 $T # label(t124_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7592 (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))) & v5_orders_2(B,A) -> (exists C ((all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,B) -> r3_orders_2(A,D,C)))) & m1_subset_1(C,u1_struct_0(A)))))) & (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].
119.13/118.81	7593 (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_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].
119.13/118.81	7594 (all A all B (-v3_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_orders_2(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].
119.13/118.81	7595 (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,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].
119.13/118.81	7596 (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))) -> (B = k1_xboole_0 -> (m1_orders_2(C,A,B) <-> C = k1_xboole_0)) & (B != k1_xboole_0 -> (m1_orders_2(C,A,B) <-> (exists D (r2_hidden(D,B) & C = k3_orders_2(A,B,D) & m1_subset_1(D,u1_struct_0(A)))))))))))) # label(d15_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7597 $T # label(t133_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7598 $T # label(t117_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7599 $T # label(t9_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7600 (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))) -> -(m1_orders_2(B,A,C) & m1_orders_2(C,A,B) & -(C = k1_xboole_0 & k1_xboole_0 = B)))))))) # label(t69_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7601 (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,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].
119.13/118.81	7602 $T # label(t115_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7603 $T # label(t14_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7604 $T # label(t86_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7605 (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))) -> -(r2_hidden(B,C) & r2_hidden(B,k2_orders_2(A,C))))))))) # label(t49_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7606 $T # label(t150_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7607 $T # label(t55_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7608 (all A all B all C (l1_orders_2(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & v2_orders_2(A) & -v3_struct_0(A) -> (r1_orders_2(A,B,C) <-> r3_orders_2(A,B,C)))) # label(redefinition_r3_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7609 $T # label(t139_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7610 $T # label(t5_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7611 (all A all B (-v3_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v4_orders_2(A) & v3_orders_2(A) & v2_orders_2(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].
119.13/118.81	7612 (all A (-v3_struct_0(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)) -> (m1_subset_1(k2_struct_0(A,B,C),k1_zfmisc_1(u1_struct_0(A))) & v5_orders_2(k2_struct_0(A,B,C),A) <-> r3_orders_2(A,B,C) | r3_orders_2(A,C,B)))))))) # label(t36_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7613 $T # label(t105_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7614 (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) & (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)))))) & C != B & -m1_orders_2(B,A,C) & r2_wellord1(u1_orders_2(A),C)))))))) # label(t72_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7615 $T # label(t11_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7616 $T # label(t118_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7617 (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))) -> a_2_1_orders_2(A,B) = k2_orders_2(A,B))))) # label(d13_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7618 $T # label(t41_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7619 $T # label(t111_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7620 $T # label(t59_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7621 (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,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].
119.13/118.81	7622 $T # label(t85_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7623 (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_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) -> (m1_orders_2(C,A,D) <-> r2_xboole_0(C,D)))))))))) # label(t84_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7624 (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))) -> -r2_hidden(B,k3_orders_2(A,C,B)))))))) # label(t62_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7625 (all A (-v3_struct_0(A) & v2_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & v3_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].
119.13/118.81	7626 (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)) -> (B != C -> r2_orders_2(A,C,B)))) <-> r8_orders_1(u1_orders_2(A),B)))))) # label(t160_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7627 $T # label(t106_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7628 (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))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(r1_tarski(B,C) & 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_hidden(E,B) & r2_hidden(D,C) & r2_orders_2(A,D,E) -> r2_hidden(D,B)))))) & -m1_orders_2(B,A,C) & C != B))))))) # label(t73_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7629 $T # label(t90_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7630 $T # label(t7_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7631 (all A all B (m1_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) & v4_relat_2(B) & v1_relat_2(B) -> v1_orders_2(g1_orders_2(A,B)) & v2_orders_2(g1_orders_2(A,B)) & v4_orders_2(g1_orders_2(A,B)) & v3_orders_2(g1_orders_2(A,B)))) # label(fc3_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7632 $T # label(t98_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7633 (all A all B all C (v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v2_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].
119.13/118.81	7634 $T # label(t151_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7635 (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_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].
119.13/118.81	7636 (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_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].
119.13/118.81	7637 $T # label(t93_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7638 $T # label(t4_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7639 (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)) & v2_orders_2(A) & -v3_struct_0(A) -> r3_orders_2(A,B,B))) # label(reflexivity_r3_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7640 (all A (-v3_struct_0(A) & v2_orders_2(A) & l1_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> v5_orders_2(k1_struct_0(A,B),A) & m1_subset_1(k1_struct_0(A,B),k1_zfmisc_1(u1_struct_0(A))))))) # label(t35_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7641 (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)) -> (r1_orders_2(A,B,C) & r2_orders_2(A,C,D) | r1_orders_2(A,C,D) & r2_orders_2(A,B,C) -> r2_orders_2(A,B,D)))))))))) # label(t32_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7642 $T # label(t104_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7643 $T # label(t18_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7644 $T # label(d7_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7645 $T # label(t12_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7646 (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)) -> (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].
119.13/118.81	7647 $T # label(t138_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7648 $T # label(t23_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7649 (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].
119.13/118.81	7650 $T # label(t96_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7651 $T # label(t126_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7652 $T # label(t99_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7653 $T # label(t1_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7654 $T # label(t75_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7655 (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,B,C) & r1_orders_2(A,C,B) -> C = B))))))) # label(t25_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7656 (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].
119.13/118.81	7657 $T # label(t131_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7658 (all A (l1_orders_2(A) -> (v1_orders_2(A) -> g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = A))) # label(abstractness_v1_orders_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7659 (all A (-v1_xboole_0(A) -> (all 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)) & 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)) -> k4_funcsdom(k1_numbers,A,k33_binop_2,C,D) = k1_funcsdom(A,k1_numbers,B,C,D))))) <-> B = k6_funcsdom(A)))))) # label(d2_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7660 (exists A (v5_rlvect_1(A) & (exists B ((exists C (m1_subset_1(C,u1_struct_0(A)) & (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) & D = k4_rlvect_1(A,k3_rlvect_1(A,B,E),k3_rlvect_1(A,C,F)))))))) & (all D (m1_subset_1(D,k1_numbers) -> (all E (m1_subset_1(E,k1_numbers) -> (k4_rlvect_1(A,k3_rlvect_1(A,B,D),k3_rlvect_1(A,C,E)) = k1_rlvect_1(A) -> D = np__0 & E = np__0))))))) & m1_subset_1(B,u1_struct_0(A)))) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_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].
119.13/118.81	7661 $T # label(t6_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7662 (all A (-v1_xboole_0(A) -> -v3_struct_0(k13_funcsdom(A)) & v1_funcsdom(k13_funcsdom(A)))) # label(fc3_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7663 (all A (-v1_xboole_0(A) -> (all B (m2_relset_1(B,k2_zfmisc_1(k1_numbers,k1_fraenkel(A,k1_numbers)),k1_fraenkel(A,k1_numbers)) & v1_funct_2(B,k2_zfmisc_1(k1_numbers,k1_fraenkel(A,k1_numbers)),k1_fraenkel(A,k1_numbers)) & v1_funct_1(B) -> (B = k8_funcsdom(A) <-> (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) -> 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) = k4_real_1(C,k8_funct_2(A,k1_numbers,D,E))))))))))))) # label(d4_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7664 (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) -> (A = F -> k1_funct_1(E,F) = np__0) & (F != A -> np__1 = k1_funct_1(E,F)))) & (all F (r2_hidden(F,C) -> (A = F -> k1_funct_1(D,F) = np__1) & (A != F -> np__0 = k1_funct_1(D,F)))) & k2_tarski(A,B) = C -> (all F (m2_fraenkel(F,C,k1_numbers,k1_fraenkel(C,k1_numbers)) -> (exists G (m1_subset_1(G,k1_numbers) & (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))))))))) | A = B))))))) # label(t31_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7665 (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].
119.13/118.81	7666 (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_2(D,B,A) & v1_funct_1(E) & v1_funct_2(E,B,A) & m1_relset_1(E,B,A) & m1_relset_1(D,B,A) & v1_funct_1(D) & v1_funct_1(C) & -v1_xboole_0(B) -> k3_funcop_1(C,D,E) = k4_funcsdom(A,B,C,D,E))) # label(redefinition_k4_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7667 $T # label(t1_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7668 (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)) -> (r2_hidden(A,C) & (all F (r2_hidden(F,C) -> (A = F -> k1_funct_1(D,F) = np__1) & (F != A -> np__0 = k1_funct_1(D,F)))) & (all F (r2_hidden(F,C) -> (F != A -> np__1 = k1_funct_1(E,F)) & (A = F -> k1_funct_1(E,F) = np__0))) & r2_hidden(B,C) -> B = A | (all F (m1_subset_1(F,k1_numbers) -> (all G (m1_subset_1(G,k1_numbers) -> (k9_funcsdom(C) = 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))) -> np__0 = F & np__0 = G)))))))))))) # label(t29_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7669 (all A (-v1_xboole_0(A) -> g3_vectsp_1(k1_fraenkel(A,k1_numbers),k6_funcsdom(A),k7_funcsdom(A),k10_funcsdom(A),k9_funcsdom(A)) = k12_funcsdom(A))) # label(d12_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7670 (all A all B all C all D all E (-v1_xboole_0(B) & v1_funct_1(C) & 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)) & v1_funct_2(C,k2_zfmisc_1(k1_fraenkel(A,B),k1_fraenkel(A,B)),k1_fraenkel(A,B)) & -v1_xboole_0(A) -> 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].
119.13/118.81	7671 (all A all B (-v1_xboole_0(B) -> (exists C ((exists D (m2_fraenkel(D,B,k1_numbers,k1_fraenkel(B,k1_numbers)) & (all E (r2_hidden(E,B) -> (E = A -> np__1 = k1_funct_1(C,E)) & (A != E -> np__0 = k1_funct_1(C,E)))) & (all E (r2_hidden(E,B) -> (E != A -> k1_funct_1(D,E) = np__1) & (A = E -> np__0 = k1_funct_1(D,E)))))) & m2_fraenkel(C,B,k1_numbers,k1_fraenkel(B,k1_numbers)))))) # label(t28_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7672 (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) -> 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) = 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))))))))))) # label(t27_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7673 (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].
119.13/118.81	7674 (all A (l1_funcsdom(A) -> l3_vectsp_1(A) & l2_rlvect_1(A))) # label(dt_l1_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7675 $T # label(t45_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7676 $T # label(d8_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7677 (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].
119.13/118.81	7678 $T # label(t48_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7679 (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].
119.13/118.81	7680 (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) -> k8_funct_2(A,k1_numbers,B,E) = k4_real_1(k8_funct_2(A,k1_numbers,C,E),k8_funct_2(A,k1_numbers,D,E))))))))))))) # label(t11_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7681 $T # label(t40_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7682 (all A (-v1_xboole_0(A) -> l1_funcsdom(k13_funcsdom(A)) & v1_funcsdom(k13_funcsdom(A)))) # label(dt_k13_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7683 $T # label(d9_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7684 (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,k1_rlvect_1(k13_funcsdom(A))) = B & k1_group_1(k13_funcsdom(A),k1_group_1(k13_funcsdom(A),B,C),D) = k1_group_1(k13_funcsdom(A),B,k1_group_1(k13_funcsdom(A),C,D)) & 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),k2_rlvect_1(k13_funcsdom(A),B,C),E) & k3_rlvect_1(k13_funcsdom(A),B,k3_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),k3_rlvect_1(k13_funcsdom(A),B,F),E) = k3_rlvect_1(k13_funcsdom(A),B,k4_real_1(E,F)) & k1_group_1(k13_funcsdom(A),k3_rlvect_1(k13_funcsdom(A),B,E),C) = k3_rlvect_1(k13_funcsdom(A),k1_group_1(k13_funcsdom(A),B,C),E) & k2_rlvect_1(k13_funcsdom(A),k1_group_1(k13_funcsdom(A),B,C),k1_group_1(k13_funcsdom(A),B,D)) = k1_group_1(k13_funcsdom(A),B,k2_rlvect_1(k13_funcsdom(A),C,D)) & B = k1_group_1(k13_funcsdom(A),B,k2_group_1(k13_funcsdom(A))) & k1_group_1(k13_funcsdom(A),C,B) = k1_group_1(k13_funcsdom(A),B,C) & (exists G (m1_subset_1(G,u1_struct_0(k13_funcsdom(A))) & k1_rlvect_1(k13_funcsdom(A)) = k2_rlvect_1(k13_funcsdom(A),B,G))) & 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)) & k2_rlvect_1(k13_funcsdom(A),C,B) = k2_rlvect_1(k13_funcsdom(A),B,C))))))))))))) # label(t49_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7685 $T # label(t3_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7686 $T # label(d10_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7687 (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].
119.13/118.81	7688 (all A (-v1_xboole_0(A) -> v1_funct_2(k6_funcsdom(A),k2_zfmisc_1(k1_fraenkel(A,k1_numbers),k1_fraenkel(A,k1_numbers)),k1_fraenkel(A,k1_numbers)) & 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_1(k6_funcsdom(A)))) # label(dt_k6_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7689 (all A (-v1_xboole_0(A) -> -v3_struct_0(k12_funcsdom(A)) & v3_rlvect_1(k12_funcsdom(A)) & v4_rlvect_1(k12_funcsdom(A)) & v6_rlvect_1(k12_funcsdom(A)) & v4_group_1(k12_funcsdom(A)) & v7_group_1(k12_funcsdom(A)) & v8_vectsp_1(k12_funcsdom(A)) & l3_vectsp_1(k12_funcsdom(A)) & v7_vectsp_1(k12_funcsdom(A)) & v6_vectsp_1(k12_funcsdom(A)) & v5_rlvect_1(k12_funcsdom(A)))) # label(t43_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7690 (exists A (v1_funcsdom(A) & l1_funcsdom(A))) # label(rc2_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7691 (all A (-v1_xboole_0(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)) & v1_funct_1(k8_funcsdom(A)))) # label(dt_k8_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7692 (all A all B all C all D all E (-v1_xboole_0(A) & -v1_xboole_0(B) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(D) & v1_funct_1(E) & m1_relset_1(E,B,A) & v1_funct_2(E,B,A) & m1_relset_1(D,B,A) & v1_funct_2(D,B,A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> 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].
119.13/118.81	7693 (all A all B all C (-v1_xboole_0(A) & -v1_xboole_0(B) & m1_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) -> m2_fraenkel(k3_funcsdom(A,B,C),A,B,k1_fraenkel(A,B)))) # label(dt_k3_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7694 (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) & v1_funct_2(E,k2_zfmisc_1(C,D),k1_fraenkel(A,B)) & m1_relset_1(E,k2_zfmisc_1(C,D),k1_fraenkel(A,B)) & m1_subset_1(F,k2_zfmisc_1(C,D)) & -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].
119.13/118.81	7695 (all A all B all C all D all E (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)) & -v1_xboole_0(B) & -v1_xboole_0(A) -> k1_funcsdom(A,B,C,D,E) = k1_binop_1(C,D,E))) # label(redefinition_k1_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7696 (all A (-v1_xboole_0(A) -> (all B (m2_fraenkel(B,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> k1_funcsdom(A,k1_numbers,k7_funcsdom(A),k10_funcsdom(A),B) = B)))) # label(t20_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7697 (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].
119.13/118.81	7698 (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].
119.13/118.81	7699 (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),k1_funcsdom(A,k1_numbers,k6_funcsdom(A),B,C),D) = k1_funcsdom(A,k1_numbers,k6_funcsdom(A),B,k1_funcsdom(A,k1_numbers,k6_funcsdom(A),C,D)))))))))) # label(t17_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7700 $T # label(t9_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7701 (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),k1_funcsdom(A,k1_numbers,k7_funcsdom(A),B,C),k1_funcsdom(A,k1_numbers,k7_funcsdom(A),B,D)) = k1_funcsdom(A,k1_numbers,k7_funcsdom(A),B,k1_funcsdom(A,k1_numbers,k6_funcsdom(A),C,D)))))))))) # label(t26_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7702 (all A (-v1_xboole_0(A) -> -v3_struct_0(k11_funcsdom(A)) & v2_rlvect_1(k11_funcsdom(A)) & v3_rlvect_1(k11_funcsdom(A)) & v5_rlvect_1(k11_funcsdom(A)) & l2_rlvect_1(k11_funcsdom(A)) & v7_rlvect_1(k11_funcsdom(A)) & v6_rlvect_1(k11_funcsdom(A)) & v4_rlvect_1(k11_funcsdom(A)))) # label(dt_k11_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7703 (all A all B all C all D all E all F (v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A) & m1_subset_1(F,A) & m1_subset_1(E,A) & m1_relset_1(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_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (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) -> H = B & J = D & K = E & L = F & I = C & G = A)))) # label(free_g1_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7704 (all A (l1_funcsdom(A) & -v3_struct_0(A) -> (v2_funcsdom(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) -> B = k1_group_1(A,B,k2_group_1(A)) & k1_group_1(A,k3_rlvect_1(A,B,E),C) = k3_rlvect_1(A,k1_group_1(A,B,C),E) & 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) & k3_rlvect_1(A,B,k4_real_1(E,F)) = k3_rlvect_1(A,k3_rlvect_1(A,B,F),E) & 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)) & 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))))))))))))))) # label(d20_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7705 $T # label(t36_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7706 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> np__1 = k8_funct_2(A,k1_numbers,k10_funcsdom(A),B))))) # label(t12_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7707 (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) -> ((all E (m1_subset_1(E,A) -> k8_funct_2(A,k1_numbers,B,E) = k4_real_1(D,k8_funct_2(A,k1_numbers,C,E)))) <-> 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,C))))))))))) # label(t15_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7708 $T # label(d13_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7709 $T # label(t7_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7710 $T # label(t35_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7711 (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))) & v4_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))) & 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))) & 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].
119.13/118.81	7712 (all A (-v1_xboole_0(A) -> v2_group_1(k13_funcsdom(A)) & v1_funcsdom(k13_funcsdom(A)) & v8_vectsp_1(k13_funcsdom(A)) & v6_vectsp_1(k13_funcsdom(A)) & -v3_struct_0(k13_funcsdom(A)))) # label(fc4_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7713 $T # label(t8_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7714 (exists A l1_funcsdom(A)) # label(existence_l1_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7715 $T # label(t38_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7716 (exists A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v1_funcsdom(A) & v2_funcsdom(A) & v7_group_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & l1_funcsdom(A))) # label(rc4_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7717 (all A (-v1_xboole_0(A) -> v2_group_1(k12_funcsdom(A)) & v8_vectsp_1(k12_funcsdom(A)) & v6_vectsp_1(k12_funcsdom(A)) & v3_vectsp_1(k12_funcsdom(A)) & -v3_struct_0(k12_funcsdom(A)))) # label(fc2_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7718 $T # label(d14_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7719 $T # label(d11_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.81	7720 (all A all B all C (-v1_xboole_0(C) -> -(k2_tarski(A,B) = C & B != A & (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 (m1_subset_1(G,k1_numbers) & (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))))))))) & (all F (m1_subset_1(F,k1_numbers) -> (all G (m1_subset_1(G,k1_numbers) -> (k9_funcsdom(C) = 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))) -> np__0 = F & G = np__0))))))))))))) # label(t33_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7721 (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].
119.13/118.82	7722 $T # label(t39_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7723 (all A all B all C all D all E all F (-v1_xboole_0(A) & -v1_xboole_0(B) & v1_funct_1(E) & m1_relset_1(E,k2_zfmisc_1(C,D),k1_fraenkel(A,B)) & m1_subset_1(F,k2_zfmisc_1(C,D)) & v1_funct_2(E,k2_zfmisc_1(C,D),k1_fraenkel(A,B)) & -v1_xboole_0(D) & -v1_xboole_0(C) -> k2_funcsdom(A,B,C,D,E,F) = k1_funct_1(E,F))) # label(redefinition_k2_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7724 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> np__0 = k8_funct_2(A,k1_numbers,k9_funcsdom(A),B))))) # label(t13_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7725 (all A all B all C all D all E (v1_funct_1(C) & v1_funct_2(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) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & -v1_xboole_0(B) & -v1_xboole_0(A) -> 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].
119.13/118.82	7726 $T # label(t5_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7727 (all A (-v1_xboole_0(A) -> v1_funct_1(k7_funcsdom(A)) & v1_funct_2(k7_funcsdom(A),k2_zfmisc_1(k1_fraenkel(A,k1_numbers),k1_fraenkel(A,k1_numbers)),k1_fraenkel(A,k1_numbers)) & m2_relset_1(k7_funcsdom(A),k2_zfmisc_1(k1_fraenkel(A,k1_numbers),k1_fraenkel(A,k1_numbers)),k1_fraenkel(A,k1_numbers)))) # label(dt_k7_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7728 $T # label(t2_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7729 $T # label(d17_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7730 (all A all B all C (-v1_xboole_0(C) -> -(r2_hidden(A,C) & r2_hidden(B,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 (m1_subset_1(F,k1_numbers) & (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) & -(F = np__0 & G = np__0))))))))) & A != B))) # label(t30_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7731 $T # label(d16_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7732 (all A (-v1_xboole_0(A) -> k10_funcsdom(A) = k2_funcop_1(A,np__1))) # label(d6_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7733 $T # label(t46_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7734 (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) -> (B = k7_funcsdom(A) <-> (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)) -> k4_funcsdom(k1_numbers,A,k35_binop_2,C,D) = k1_funcsdom(A,k1_numbers,B,C,D)))))))))) # label(d3_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7735 (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,k6_funcsdom(A),C,D) <-> (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].
119.13/118.82	7736 (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].
119.13/118.82	7737 (exists A (l1_funcsdom(A) & -v3_struct_0(A))) # label(rc3_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7738 (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),k4_real_1(C,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),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)))))))))))) # label(t24_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7739 (all A (-v1_xboole_0(A) -> -v3_struct_0(k13_funcsdom(A)) & v5_rlvect_1(k13_funcsdom(A)) & v4_group_1(k13_funcsdom(A)) & v7_group_1(k13_funcsdom(A)) & l1_funcsdom(k13_funcsdom(A)) & v2_funcsdom(k13_funcsdom(A)) & v6_rlvect_1(k13_funcsdom(A)) & v4_rlvect_1(k13_funcsdom(A)) & v3_rlvect_1(k13_funcsdom(A)))) # label(t50_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7740 (all A (-v1_xboole_0(A) -> k9_funcsdom(A) != k10_funcsdom(A))) # label(t14_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7741 (all A all B all C (-v1_xboole_0(C) -> -(C = k2_tarski(A,B) & B != A & (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 (m2_fraenkel(F,C,k1_numbers,k1_fraenkel(C,k1_numbers)) & (all G (m1_subset_1(G,k1_numbers) -> (all 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)))))))))))))))) # label(t32_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7742 (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].
119.13/118.82	7743 (all A (-v1_xboole_0(A) -> k10_funcsdom(A) = k2_group_1(k12_funcsdom(A)))) # label(t41_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7744 (exists A (l3_vectsp_1(A) & -v3_struct_0(A) & v6_rlvect_1(A) & v4_group_1(A) & v3_vectsp_1(A) & v4_vectsp_1(A) & v6_vectsp_1(A) & v7_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A))) # label(rc1_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7745 (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].
119.13/118.82	7746 (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].
119.13/118.82	7747 $T # label(t47_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7748 (all A all B all C all D all E all F (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_relset_1(C,k2_zfmisc_1(A,A),A) & 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_1(D) & v1_funct_2(C,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].
119.13/118.82	7749 (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,k1_rlvect_1(k12_funcsdom(A))) = B & (exists E (m1_subset_1(E,u1_struct_0(k12_funcsdom(A))) & k1_rlvect_1(k12_funcsdom(A)) = k2_rlvect_1(k12_funcsdom(A),B,E))) & k1_group_1(k12_funcsdom(A),C,B) = k1_group_1(k12_funcsdom(A),B,C) & 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),k2_rlvect_1(k12_funcsdom(A),C,D),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),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)) & k1_group_1(k12_funcsdom(A),k2_group_1(k12_funcsdom(A)),B) = B & k1_group_1(k12_funcsdom(A),B,k2_group_1(k12_funcsdom(A))) = B & k2_rlvect_1(k12_funcsdom(A),k2_rlvect_1(k12_funcsdom(A),B,C),D) = k2_rlvect_1(k12_funcsdom(A),B,k2_rlvect_1(k12_funcsdom(A),C,D)) & k2_rlvect_1(k12_funcsdom(A),C,B) = k2_rlvect_1(k12_funcsdom(A),B,C))))))))) # label(t42_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7750 (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) -> 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))) = 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)))))))))) # label(t25_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7751 (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].
119.13/118.82	7752 (all A (-v1_xboole_0(A) -> k2_group_1(k13_funcsdom(A)) = k10_funcsdom(A))) # label(t44_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7753 $T # label(t4_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7754 (all A (-v1_xboole_0(A) -> k9_funcsdom(A) = k2_funcop_1(A,np__0))) # label(d5_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7755 $T # label(d18_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7756 (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) -> k3_funcsdom(A,B,C) = C)))))) # label(d1_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7757 (all A all B all C all D all E (-v1_xboole_0(A) & m1_subset_1(D,A) & m1_relset_1(E,B,A) & v1_funct_2(E,B,A) & v1_funct_1(E) & 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_xboole_0(B) -> k5_funcsdom(A,B,C,D,E) = k5_funcop_1(C,D,E))) # label(redefinition_k5_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7758 $T # label(d15_funcsdom) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7759 (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,k18_rlvect_2(A)) -> k19_rlvect_2(A,B) = B)))) # label(d17_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7760 (all A (-v3_struct_0(A) & l1_rlvect_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(B) -> (v4_rlvect_1(A) & v5_rlvect_1(A) & v3_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) & C = k9_rlvect_1(A,D) & v2_funct_1(D))))))))))) # label(d4_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7761 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlvect_2(B,A) -> (k11_rlvect_2(A) = B <-> k1_xboole_0 = k10_rlvect_2(A,B)))))) # label(d7_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7762 (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) -> k22_rlvect_2(A) = u2_rlvect_1(k23_rlvect_2(A)))) # label(t95_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7763 (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) -> u1_rlvect_1(k23_rlvect_2(A)) = k21_rlvect_2(A))) # label(t94_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7764 (all A all B all C (v5_rlvect_1(B) & v6_rlvect_1(B) & l2_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v7_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (r2_hidden(A,a_2_1_rlvect_2(B,C)) <-> (exists D (D = A & m2_rlvect_2(D,B,C)))))) # label(fraenkel_a_2_1_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7765 (all A (-v3_struct_0(A) & l1_rlvect_1(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].
119.13/118.82	7766 (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_rlvect_2(C,A) -> (all D (m1_rlvect_2(D,A) -> 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)) = k8_funct_2(u1_struct_0(A),k1_numbers,k17_rlvect_2(A,C,D),B))))))))) # label(t79_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7767 (all A (l1_rlvect_1(A) & -v3_struct_0(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].
119.13/118.82	7768 (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 (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].
119.13/118.82	7769 (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,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(k17_rlvect_2(A,C,D),A,B)))))))))) # label(t81_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7770 $T # label(t88_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7771 (all A all B all C (l1_struct_0(A) & 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))) -> B = k3_rlvect_2(A,B,B))) # label(idempotence_k3_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7772 (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 (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].
119.13/118.82	7773 (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].
119.13/118.82	7774 (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,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].
119.13/118.82	7775 (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 (B = k18_rlvect_2(A) <-> (all C (m1_rlvect_2(C,A) <-> r2_hidden(C,B))))))) # label(d16_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7776 $T # label(t39_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7777 (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 ((all D (m1_subset_1(D,u1_struct_0(A)) -> (-r2_hidden(D,C) -> np__0 = k8_funct_2(u1_struct_0(A),k1_numbers,B,D)))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(C)))))))) # label(d5_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7778 (all A all B all C (l1_struct_0(A) & 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))) -> k2_rlvect_2(A,C,B) = k2_rlvect_2(A,B,C))) # label(commutativity_k2_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7779 (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 (v1_funct_1(B) & m2_relset_1(B,u1_struct_0(A),k1_numbers) & v1_funct_2(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].
119.13/118.82	7780 $T # label(t29_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7781 (all A (l1_struct_0(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_funct_1(B) & v1_finset_1(B) & v1_membered(B) & v5_membered(B) & v4_membered(B) & v3_membered(B) & v2_membered(B) & v1_xboole_0(B))))) # label(rc1_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7782 (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 (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].
119.13/118.82	7783 (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 (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_1(A,k6_rlvect_2(A,k2_rlvect_2(A,C,B)),k6_rlvect_2(A,B)) = k6_rlvect_2(A,k4_rlvect_2(A,C,B)))))))) # label(t21_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7784 (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 (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & m2_relset_1(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].
119.13/118.82	7785 (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_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].
119.13/118.82	7786 (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_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].
119.13/118.82	7787 (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,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].
119.13/118.82	7788 (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,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_1(A,k6_rlvect_2(A,C),k6_rlvect_2(A,k3_rlvect_2(A,C,B))) = k6_rlvect_2(A,k4_rlvect_2(A,C,B)))))))) # label(t22_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7789 (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) -> -v1_xboole_0(k18_rlvect_2(A)))) # label(fc1_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7790 $T # label(dt_k18_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7791 $T # label(t72_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7792 (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,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].
119.13/118.82	7793 (all A (-v3_struct_0(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) -> (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].
119.13/118.82	7794 (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) -> k1_rlvect_1(A) = k13_rlvect_2(A,k11_rlvect_2(A)))) # label(t48_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7795 (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_rlvect_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> ((exists D (k9_rlvect_1(A,k12_rlvect_2(A,D,B)) = C & k2_relat_1(D) = k10_rlvect_2(A,B) & v2_funct_1(D) & m2_finseq_1(D,u1_struct_0(A)))) <-> C = k13_rlvect_2(A,B)))))))) # label(d10_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7796 (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) -> 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].
119.13/118.82	7797 (all A all B all C all D (m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & l1_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].
119.13/118.82	7798 (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 (D = A & np__0 != k8_funct_2(u1_struct_0(B),k1_numbers,C,D) & m1_subset_1(D,u1_struct_0(B))))))) # label(fraenkel_a_2_0_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7799 (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 (v2_rlvect_1(C) & m1_rlsub_1(C,k23_rlvect_2(A)) -> (u1_struct_0(C) = a_2_1_rlvect_2(A,B) <-> C = k24_rlvect_2(A,B)))))))) # label(d22_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7800 (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].
119.13/118.82	7801 $T # label(d2_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7802 (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,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) -> C = B | 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(t54_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7803 (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_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].
119.13/118.82	7804 (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) -> k8_rlvect_2(A,B,C) = k8_rlvect_2(A,C,B))) # label(commutativity_k8_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7805 (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)) -> 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(B) = k3_finseq_1(C) -> 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].
119.13/118.82	7806 $T # label(t36_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7807 (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_rlvect_2(B,A) -> (all C (m1_rlvect_2(C,A) -> k14_rlvect_2(A,B,k16_rlvect_2(A,C)) = k17_rlvect_2(A,B,C))))))) # label(d15_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7808 (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,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].
119.13/118.82	7809 (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) -> u1_struct_0(k23_rlvect_2(A)) = k18_rlvect_2(A))) # label(t92_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7810 (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) -> (k10_rlvect_2(A,B) = k1_xboole_0 -> k13_rlvect_2(A,B) = k1_rlvect_1(A)))))) # label(t52_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7811 (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 (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].
119.13/118.82	7812 (all A all B all C (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & m1_subset_1(B,k1_numbers) & m1_rlvect_2(C,A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v4_rlvect_1(A) -> m1_rlvect_2(k15_rlvect_2(A,B,C),A))) # label(dt_k15_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7813 $T # label(t46_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7814 $T # label(t63_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7815 (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_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].
119.13/118.82	7816 (all A all B (v4_rlvect_1(A) & m1_rlvect_2(B,A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> m1_subset_1(k20_rlvect_2(A,B),k18_rlvect_2(A)))) # label(dt_k20_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7817 $T # label(t2_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7818 $T # label(d3_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7819 $T # label(t89_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7820 (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_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].
119.13/118.82	7821 (all A (l1_struct_0(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k1_rlvect_2(A,B))))) # label(t3_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7822 (all A all B (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) & -v3_struct_0(A) -> m1_rlvect_2(k16_rlvect_2(A,B),A))) # label(dt_k16_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7823 (all A all B (-v3_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) -> v1_finset_1(k7_rlvect_2(A,B)) & m1_subset_1(k7_rlvect_2(A,B),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k7_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7824 (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,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].
119.13/118.82	7825 (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_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].
119.13/118.82	7826 (all A all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_rlvect_1(A) & -v3_struct_0(A) -> (exists C m2_rlvect_2(C,A,B)))) # label(existence_m2_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7827 $T # label(t38_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7828 (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))) -> 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].
119.13/118.82	7829 (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) -> v2_rlvect_1(k23_rlvect_2(A)) & v4_rlvect_1(k23_rlvect_2(A)) & v5_rlvect_1(k23_rlvect_2(A)) & v7_rlvect_1(k23_rlvect_2(A)) & v6_rlvect_1(k23_rlvect_2(A)) & v3_rlvect_1(k23_rlvect_2(A)) & -v3_struct_0(k23_rlvect_2(A)))) # label(fc2_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7830 $T # label(t64_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7831 (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_rlvect_2(B,A) -> B = k20_rlvect_2(A,B))))) # label(d18_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7832 (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) -> r1_rlvect_2(A,k15_rlvect_2(A,np__1,B),B))))) # label(t71_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7833 (all A (l1_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_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (all D (v1_funct_1(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)) -> (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].
119.13/118.82	7834 (all A (-v3_struct_0(A) & l2_struct_0(A) -> (exists B m1_rlvect_2(B,A)))) # label(existence_m1_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7835 (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) -> k3_xboole_0(B,C) = k3_rlvect_2(A,B,C))) # label(redefinition_k3_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7836 (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_rlvect_2(B,A) -> r1_rlvect_2(A,k14_rlvect_2(A,k11_rlvect_2(A),B),B) & r1_rlvect_2(A,k14_rlvect_2(A,B,k11_rlvect_2(A)),B))))) # label(t62_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7837 (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) -> 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].
119.13/118.82	7838 (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_rlvect_2(C,A) -> (k7_rlvect_2(A,B) = k10_rlvect_2(A,C) -> k13_rlvect_2(A,C) = k3_rlvect_1(A,B,k8_funct_2(u1_struct_0(A),k1_numbers,C,B))))))))) # label(t53_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7839 (all A all B all C (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) & -v3_struct_0(A) -> m1_rlvect_2(k17_rlvect_2(A,B,C),A))) # label(dt_k17_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7840 $T # label(t45_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7841 (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_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].
119.13/118.82	7842 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k8_funct_2(u1_struct_0(A),k1_numbers,k11_rlvect_2(A),B) = np__0)))) # label(t30_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7843 (all A (-v3_struct_0(A) & l1_rlvect_1(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)) -> 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)) = k8_funct_2(u1_struct_0(A),k1_numbers,D,E))) <-> k14_rlvect_2(A,B,C) = D))))))))) # label(d12_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7844 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & l1_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) -> k4_rlvect_1(A,k6_rlvect_2(A,k4_rlvect_2(A,C,B)),k6_rlvect_2(A,k4_rlvect_2(A,B,C))) = k6_rlvect_2(A,k5_rlvect_2(A,C,B)))))))) # label(t24_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7845 (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,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)) = 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].
119.13/118.82	7846 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v7_rlvect_1(B) & l2_rlvect_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_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),k1_numbers) & m2_relset_1(E,u1_struct_0(B),k1_numbers) -> (r2_hidden(A,k1_relat_1(D)) & k1_funct_1(D,A) = C -> 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].
119.13/118.82	7847 $T # label(t90_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7848 $T # label(t13_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7849 (all A all B (v3_rlvect_1(A) & v4_rlvect_1(A) & m1_rlvect_2(B,A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> m1_subset_1(k13_rlvect_2(A,B),u1_struct_0(A)))) # label(dt_k13_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7850 $T # label(t91_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7851 (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_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].
119.13/118.82	7852 $T # label(t37_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7853 (all A all B (v4_rlvect_1(A) & m1_subset_1(B,k18_rlvect_2(A)) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> m1_rlvect_2(k19_rlvect_2(A,B),A))) # label(dt_k19_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7854 $T # label(t56_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7855 $T # label(t10_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7856 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & v4_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(B) = k3_finseq_1(C) & (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r2_hidden(D,k1_relat_1(B)) -> k5_rlvect_1(A,k4_finseq_4(k5_numbers,u1_struct_0(A),B,D)) = k1_funct_1(C,D)))) -> k9_rlvect_1(A,C) = k5_rlvect_1(A,k9_rlvect_1(A,B))))))))) # label(t6_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7857 (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].
119.13/118.82	7858 $T # label(t86_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7859 (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) -> k11_rlvect_2(A) = u2_struct_0(k23_rlvect_2(A)))) # label(t93_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7860 (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,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].
119.13/118.82	7861 $T # label(t26_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7862 (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) -> 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].
119.13/118.82	7863 (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) -> m1_subset_1(k3_rlvect_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(k3_rlvect_2(A,B,C)))) # label(dt_k3_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7864 (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 (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].
119.13/118.82	7865 $T # label(t57_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7866 (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_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].
119.13/118.82	7867 $T # label(t12_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7868 (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) -> m1_subset_1(k4_rlvect_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(k4_rlvect_2(A,B,C)))) # label(dt_k4_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7869 $T # label(t1_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7870 $T # label(t25_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7871 (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,k1_zfmisc_1(u1_struct_0(A))) -> ((all C (m2_rlvect_2(C,A,B) -> r2_hidden(k13_rlvect_2(A,C),B))) <-> v1_rlsub_1(B,A) & B != k1_xboole_0))))) # label(t47_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7872 (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,B,C) = k3_rlvect_2(A,C,B))) # label(commutativity_k3_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7873 (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) -> (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].
119.13/118.82	7874 (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,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].
119.13/118.82	7875 (all A all B all C (m1_rlvect_2(B,A) & m1_rlvect_2(C,A) & l1_rlvect_1(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].
119.13/118.82	7876 (all A all B (v4_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(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].
119.13/118.82	7877 (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) -> k2_rlvect_2(A,B,C) = k2_xboole_0(B,C))) # label(redefinition_k2_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7878 $T # label(t85_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7879 (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 (v1_funct_1(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)) -> ((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)))))) <-> k22_rlvect_2(A) = B))))) # label(d20_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7880 $T # label(t87_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7881 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> k6_rlvect_2(A,k1_pre_topc(A)) = k1_rlvect_1(A))) # label(t14_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7882 (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 (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (C != B -> k4_rlvect_1(A,B,C) = k6_rlvect_2(A,k8_rlvect_2(A,B,C))))))))) # label(t16_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7883 (all A all B (m1_rlvect_2(B,A) & l1_rlvect_1(A) & -v3_struct_0(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].
119.13/118.82	7884 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & l1_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_subset_1(D,u1_struct_0(A)) -> -(D != C & k6_rlvect_2(A,k9_rlvect_2(A,B,C,D)) != k4_rlvect_1(A,k4_rlvect_1(A,B,C),D) & B != D & B != C))))))))) # label(t17_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7885 (all A all B all C (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))) & v1_finset_1(B) & 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].
119.13/118.82	7886 (all A all B all C (l1_rlvect_1(A) & m1_rlvect_2(C,A) & m1_rlvect_2(B,A) & -v3_struct_0(A) -> r1_rlvect_2(A,B,B))) # label(reflexivity_r1_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.82	7887 (all A all B all C (-v3_struct_0(A) & v6_rlvect_1(A) & m1_finseq_1(B,u1_struct_0(A)) & v1_funct_1(C) & m1_relset_1(C,u1_struct_0(A),k1_numbers) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_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].
119.13/118.82	7888 $T # label(t78_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7889 (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_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].
119.13/118.83	7890 (all A (-v3_struct_0(A) & l1_rlvect_1(A) & v6_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 (m2_finseq_1(D,u1_struct_0(A)) -> ((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(D) = k3_finseq_1(B) & k3_finseq_1(B) = k3_finseq_1(C) -> 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].
119.13/118.83	7891 (all A (l1_struct_0(A) -> (all B (r1_rlvect_1(A,B) -> B = k1_rlvect_2(A,B))))) # label(d1_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7892 (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].
119.13/118.83	7893 (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) -> -v3_struct_0(k23_rlvect_2(A)) & v5_rlvect_1(k23_rlvect_2(A)) & v6_rlvect_1(k23_rlvect_2(A)) & l2_rlvect_1(k23_rlvect_2(A)) & v7_rlvect_1(k23_rlvect_2(A)) & v4_rlvect_1(k23_rlvect_2(A)) & v3_rlvect_1(k23_rlvect_2(A)))) # label(dt_k23_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7894 (all A all B all C (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))) & v1_finset_1(B) & l1_struct_0(A) -> k4_rlvect_2(A,B,C) = k4_xboole_0(B,C))) # label(redefinition_k4_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7895 (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)) -> k8_rlvect_2(A,B,C) = k2_tarski(B,C))) # label(redefinition_k8_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7896 (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_subset_1(D,u1_struct_0(A)) -> k8_funct_2(u1_struct_0(A),k1_numbers,C,D) = k8_funct_2(u1_struct_0(A),k1_numbers,B,D))) <-> r1_rlvect_2(A,B,C)))))))) # label(d11_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7897 $T # label(t31_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7898 (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_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].
119.13/118.83	7899 $T # label(t55_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7900 $T # label(t83_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7901 (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 (m2_rlvect_2(B,A,k1_subset_1(u1_struct_0(A))) -> k13_rlvect_2(A,B) = k1_rlvect_1(A))))) # label(t49_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7902 (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) -> k10_rlvect_2(A,B) = k10_rlvect_2(A,k16_rlvect_2(A,B)))))) # label(t75_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7903 $T # label(t27_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7904 (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_rlvect_2(B,A) -> k5_rlvect_1(k23_rlvect_2(A),k1_rlvect_2(k23_rlvect_2(A),B)) = k16_rlvect_2(A,B))))) # label(t98_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7905 (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_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].
119.13/118.83	7906 $T # label(t84_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7907 (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)) -> (C != B -> (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].
119.13/118.83	7908 (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) -> v1_funct_1(k22_rlvect_2(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)))) # label(dt_k22_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7909 (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_numbers) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (all D (m2_finseq_1(D,u1_struct_0(A)) -> ((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)))) & k3_finseq_1(D) = k3_finseq_1(C) -> 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].
119.13/118.83	7910 (all A all B (l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v3_struct_0(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].
119.13/118.83	7911 (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].
119.13/118.83	7912 (all A (v4_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlvect_2(B,A) -> k16_rlvect_2(A,B) = k15_rlvect_2(A,k1_real_1(np__1),B))))) # label(d14_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7913 (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,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)))) <-> k15_rlvect_2(A,B,C) = D))))))))) # label(d13_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7914 (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))) -> k2_rlvect_2(A,B,B) = B)) # label(idempotence_k2_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7915 (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)) -> (np__0 = k8_funct_2(u1_struct_0(A),k1_numbers,B,C) <-> -r2_hidden(C,k10_rlvect_2(A,B))))))))) # label(t28_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7916 (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 (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)) -> (B = k21_rlvect_2(A) <-> (all C (m1_subset_1(C,k18_rlvect_2(A)) -> (all D (m1_subset_1(D,k18_rlvect_2(A)) -> k2_binop_1(k18_rlvect_2(A),k18_rlvect_2(A),k18_rlvect_2(A),B,C,D) = k14_rlvect_2(A,k19_rlvect_2(A,C),k19_rlvect_2(A,D))))))))))) # label(d19_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7917 $T # label(t32_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7918 (all A all B all C (-v3_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> v1_finset_1(k8_rlvect_2(A,B,C)) & m1_subset_1(k8_rlvect_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k8_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7919 (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 (m2_finseq_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) -> (all D (m2_finseq_1(D,u1_struct_0(A)) -> (D = k12_rlvect_2(A,B,C) <-> k3_finseq_1(B) = k3_finseq_1(D) & (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (r2_hidden(E,k1_relat_1(D)) -> 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))) = k1_funct_1(D,E))))))))))))) # label(d9_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7920 (all A all B all C (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))) & v1_finset_1(B) & l1_struct_0(A) -> 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].
119.13/118.83	7921 (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].
119.13/118.83	7922 (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_xboole_0(B,C) = k5_rlvect_2(A,B,C))) # label(redefinition_k5_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7923 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> m1_rlvect_2(k11_rlvect_2(A),A))) # label(dt_k11_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7924 (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 (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].
119.13/118.83	7925 (all A all B all C (l1_rlvect_1(A) & m1_rlvect_2(B,A) & m1_rlvect_2(C,A) & -v3_struct_0(A) -> (r1_rlvect_2(A,B,C) <-> B = C))) # label(redefinition_r1_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7926 $T # label(t11_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7927 (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 (m2_rlvect_2(B,A,k1_subset_1(u1_struct_0(A))) -> k11_rlvect_2(A) = B)))) # label(t35_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7928 (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)) & 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_1(D) -> ((all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (r2_hidden(E,k1_relat_1(C)) -> k1_funct_1(B,k1_funct_1(D,E)) = k1_funct_1(C,E)))) & k3_finseq_1(C) = k3_finseq_1(B) -> k9_rlvect_1(A,C) = k9_rlvect_1(A,B)))))))))) # label(t8_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7929 (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,C) -> r1_rlvect_2(A,C,B)))) # label(symmetry_r1_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7930 (all A (v4_realset2(A) & l3_vectsp_1(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)))) & k1_realset2(k2_realset2(A),k3_realset2(A),B,k4_realset2(A),C) = A))))))) # label(d12_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7931 (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)) -> 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,D)),k1_funct_1(k5_realset2(A),k4_tarski(C,D)))) & k1_funct_1(k5_realset2(A),k4_tarski(B,k1_funct_1(k3_realset2(A),k4_tarski(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)))))))))))) # label(t3_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7932 (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].
119.13/118.83	7933 (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)) -> 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].
119.13/118.83	7934 (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)))) -> 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)))) & 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)))))))))) # label(t28_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7935 (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)))) -> (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(k1_funct_1(k5_realset2(A),k4_tarski(B,C)),D)) = k1_funct_1(k5_realset2(A),k4_tarski(B,k1_funct_1(k5_realset2(A),k4_tarski(C,D)))))))))))) # label(t8_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7936 (exists A (l3_vectsp_1(A) & -v3_realset2(A) & v3_vectsp_1(A))) # label(rc3_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7937 (exists A (l1_struct_0(A) & v3_realset2(A))) # label(rc2_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7938 (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)))) -> (exists C (k6_realset2(A) = k1_funct_1(k5_realset2(A),k4_tarski(B,C)) & k6_realset2(A) = k1_funct_1(k5_realset2(A),k4_tarski(C,B)) & 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].
119.13/118.83	7939 (all A (l1_rlvect_1(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (exists C (k1_binop_1(u1_rlvect_1(A),B,C) = u2_struct_0(A) & k1_binop_1(u1_rlvect_1(A),C,B) = u2_struct_0(A) & m1_subset_1(C,u1_struct_0(A)))))) <-> v2_realset2(A)))) # label(d2_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7940 (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)) -> 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].
119.13/118.83	7941 (all A (v4_realset2(A) & l3_vectsp_1(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].
119.13/118.83	7942 (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(k1_funct_1(k5_realset2(A),k4_tarski(B,C)),D)) = k1_funct_1(k5_realset2(A),k4_tarski(B,k1_funct_1(k5_realset2(A),k4_tarski(C,D)))))))))))) # label(t23_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7943 (all A all B all C all D all E (-v1_realset1(A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & m1_subset_1(D,A) & m1_subset_1(E,k4_xboole_0(A,k5_realset1(A,D))) & v1_funct_1(C) & 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_realset2(k1_realset2(A,B,C,D,E)) & l3_vectsp_1(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].
119.13/118.83	7944 (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)) -> (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)))))))) <-> v4_rlvect_1(A)))) # label(d3_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7945 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> k4_realset2(A) = k1_funct_1(k5_realset2(A),k4_tarski(k4_realset2(A),B)))))) # label(t18_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7946 (all A (l3_vectsp_1(A) & v4_realset2(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) -> (B = k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))) & D = k6_realset2(A) & C = k4_realset1(k2_realset2(A),k4_realset2(A),k5_realset2(A)) -> 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].
119.13/118.83	7947 (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 ((exists E ((exists F ((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,I)),k1_funct_1(E,k4_tarski(H,I)))) = k1_funct_1(E,k4_tarski(k1_funct_1(C,k4_tarski(G,H)),I)) & k1_funct_1(E,k4_tarski(G,k1_funct_1(C,k4_tarski(H,I)))) = k1_funct_1(C,k4_tarski(k1_funct_1(E,k4_tarski(G,H)),k1_funct_1(E,k4_tarski(G,I)))))))))) & (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)) & F = I & k4_realset1(B,D,E) = H -> v3_rlvect_1(g1_rlvect_1(G,H,I)) & v4_rlvect_1(g1_rlvect_1(G,H,I)) & v2_realset2(g1_rlvect_1(G,H,I)) & l1_rlvect_1(g1_rlvect_1(G,H,I)) & v1_realset2(g1_rlvect_1(G,H,I)) & -v3_struct_0(g1_rlvect_1(G,H,I))))))))) & l1_rlvect_1(g1_rlvect_1(B,C,D)) & v2_realset2(g1_rlvect_1(B,C,D)) & v1_realset2(g1_rlvect_1(B,C,D)) & v4_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)) & A = k1_realset2(B,C,E,D,F) & m1_subset_1(F,k4_xboole_0(B,k5_realset1(B,D))))) & m3_realset1(E,B,D))) & m1_subset_1(D,B))) & v1_funct_2(C,k2_zfmisc_1(B,B),B))))) <-> v4_realset2(A)))) # label(d8_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7948 (exists A (v4_realset2(A) & v3_vectsp_1(A) & l3_vectsp_1(A))) # label(rc4_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	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)) -> (k4_realset2(A) = k2_binop_1(k2_realset2(A),k2_realset2(A),k2_realset2(A),k3_realset2(A),B,C) -> C = k8_funct_2(k2_realset2(A),k2_realset2(A),k7_realset2(A),B)))))))) # label(t12_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7950 (all A (l3_vectsp_1(A) & v4_realset2(A) -> -v3_struct_0(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))) & v2_realset2(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))) & v4_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))))) # label(t1_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7951 (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,k2_realset2(A)) -> (all D (m1_subset_1(D,k2_realset2(A)) -> (k1_funct_1(k5_realset2(A),k4_tarski(B,D)) = k1_funct_1(k5_realset2(A),k4_tarski(B,C)) -> D = C))))))))) # label(t30_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7952 (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,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].
119.13/118.83	7953 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (-v1_realset1(B) -> ((exists 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) & (exists D (m1_subset_1(D,B) & (exists E (m3_realset1(E,B,D) & (exists F (m1_subset_1(F,k4_xboole_0(B,k5_realset1(B,D))) & k1_realset2(B,C,E,D,F) = A)))))))) <-> k2_realset2(A) = B))))) # label(d9_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7954 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> 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)) = B)))) # label(t13_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7955 (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)) = k1_funct_1(k5_realset2(A),k4_tarski(C,B)))))))) # label(t9_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	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)) -> (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,D) = k2_binop_1(k2_realset2(A),k2_realset2(A),k2_realset2(A),k3_realset2(A),B,C) -> D = C))))))))) # label(t29_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7957 (all A (l3_vectsp_1(A) & v4_realset2(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].
119.13/118.83	7958 (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].
119.13/118.83	7959 (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)))) -> (k6_realset2(A) = k1_funct_1(k5_realset2(A),k4_tarski(B,C)) -> 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))),k8_realset2(A),B)))))))) # label(t26_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7960 (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)) -> ((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))) <-> B = k7_realset2(A)))))) # label(d14_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7961 (all A (v4_realset2(A) & l3_vectsp_1(A) -> v1_funct_1(k3_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)))) # label(dt_k3_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7962 (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)))) -> (k1_realset2(k2_realset2(A),k3_realset2(A),k5_realset2(A),k4_realset2(A),B) = A <-> B = k6_realset2(A)))))) # label(d13_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7963 (exists A (-v3_struct_0(A) & v4_rlvect_1(A) & v2_realset2(A) & v1_realset2(A) & v3_rlvect_1(A) & v1_rlvect_1(A) & l1_rlvect_1(A))) # label(rc1_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	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)) -> 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].
119.13/118.83	7965 (all A (l1_rlvect_1(A) -> (v1_realset2(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k1_binop_1(u1_rlvect_1(A),B,u2_struct_0(A)) & k1_binop_1(u1_rlvect_1(A),u2_struct_0(A),B) = B))))) # label(d1_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7966 (all A (v4_realset2(A) & l3_vectsp_1(A) -> m1_subset_1(k4_realset2(A),k2_realset2(A)))) # label(dt_k4_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7967 (all A (l3_vectsp_1(A) & v4_realset2(A) -> k1_funct_1(k5_realset2(A),k4_tarski(k4_realset2(A),k6_realset2(A))) = k4_realset2(A))) # label(t21_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7968 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> (exists C (k4_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) = k4_realset2(A) & m1_subset_1(C,k2_realset2(A)))))))) # label(t7_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7969 (all A (l1_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)))) <-> v3_realset2(A)))) # label(d7_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7970 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> k2_binop_1(k2_realset2(A),k2_realset2(A),k2_realset2(A),k3_realset2(A),B,k4_realset2(A)) = B & k2_binop_1(k2_realset2(A),k2_realset2(A),k2_realset2(A),k3_realset2(A),k4_realset2(A),B) = B)))) # label(t6_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7971 (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 (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_vectsp_1(F) & -v3_realset2(F) & l3_vectsp_1(F) -> (u1_rlvect_1(F) = B & u1_vectsp_1(F) = E & D = u2_struct_0(F) & C = u1_group_1(F) & A = u1_struct_0(F) <-> k1_realset2(A,B,C,D,E) = F))))))))))))) # label(d6_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7972 (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)) -> 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))))) = 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))))))))))))) # label(t15_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7973 (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,k4_realset2(A))) = k4_realset2(A))))) # label(t17_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7974 (all A (v4_realset2(A) & l3_vectsp_1(A) -> m3_realset1(k5_realset2(A),k2_realset2(A),k4_realset2(A)))) # label(dt_k5_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7975 (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].
119.13/118.83	7976 (all A (l3_vectsp_1(A) & v4_realset2(A) -> -v1_realset1(k2_realset2(A)))) # label(dt_k2_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7977 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> (k4_realset2(A) = B <-> (exists C (m3_realset1(C,k2_realset2(A),B) & (exists D (k1_realset2(k2_realset2(A),k3_realset2(A),C,B,D) = A & m1_subset_1(D,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),B)))))))))))) # label(d11_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7978 (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(k3_realset2(A),k4_tarski(B,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)))))))) # label(t14_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7979 (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)))) -> B = k1_funct_1(k5_realset2(A),k4_tarski(k6_realset2(A),B)) & k1_funct_1(k5_realset2(A),k4_tarski(B,k6_realset2(A))) = B)))) # label(t10_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7980 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (v1_funct_2(B,k2_zfmisc_1(k2_realset2(A),k2_realset2(A)),k2_realset2(A)) & m2_relset_1(B,k2_zfmisc_1(k2_realset2(A),k2_realset2(A)),k2_realset2(A)) & v1_funct_1(B) -> ((exists C ((exists D (m3_realset1(D,k2_realset2(A),C) & (exists E (m1_subset_1(E,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),C))) & k1_realset2(k2_realset2(A),B,D,C,E) = A)))) & m1_subset_1(C,k2_realset2(A)))) <-> k3_realset2(A) = B))))) # label(d10_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7981 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> B = 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)))))) # label(t25_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7982 (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)))) -> 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)) = B)))) # label(t27_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7983 (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(B,k8_funct_2(k2_realset2(A),k2_realset2(A),k7_realset2(A),C))) = k1_funct_1(k7_realset2(A),k1_funct_1(k5_realset2(A),k4_tarski(B,C))))))))) # label(t19_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7984 (all A (l1_struct_0(A) -> (v1_realset1(u1_struct_0(A)) <-> v3_realset2(A)))) # label(d5_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7985 (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].
119.13/118.83	7986 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (v1_funct_1(B) & 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)))) & 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)))) -> ((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,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))) = k6_realset2(A))) <-> k8_realset2(A) = B))))) # label(d15_realset2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7987 (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)) -> k2_metric_1(A,B,C) = k4_metric_1(A,B,C))) # label(redefinition_k4_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7988 (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].
119.13/118.83	7989 (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].
119.13/118.83	7990 (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) = k1_metric_1(u1_struct_0(A),u1_struct_0(A),u1_metric_1(A),B,C))))))) # label(d1_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7991 (all A all B all C all D all E (v1_funct_1(C) & m1_relset_1(C,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(E,B) & m1_subset_1(D,A) -> 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].
119.13/118.83	7992 $T # label(t7_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7993 (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) -> 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].
119.13/118.83	7994 (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)) -> k10_metric_1(B,C,A) = a_3_1_metric_1(A,B,C))))))) # label(t19_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7995 (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) -> (all D (m1_subset_1(D,A) -> k1_metric_1(A,A,B,D,C) = k1_metric_1(A,A,B,C,D))))) <-> v4_metric_1(B,A)))) # label(d5_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7996 (exists A (l1_metric_1(A) & v9_metric_1(A) & v8_metric_1(A) & v7_metric_1(A) & v6_metric_1(A) & v1_metric_1(A) & -v3_struct_0(A))) # label(rc3_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7997 (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 (B = F & D = a_3_1_metric_1(C,E,F) & E = A & m1_subset_1(F,u1_struct_0(E)))))) <-> D = k10_metric_1(A,B,C))) & (v3_struct_0(A) -> (D = k10_metric_1(A,B,C) <-> v1_xboole_0(D))))))))))) # label(d16_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7998 (all A (-v1_xboole_0(A) -> v1_metric_1(k6_metric_1(A)) & -v3_struct_0(k6_metric_1(A)))) # label(fc1_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	7999 (all A (l1_metric_1(A) -> (v4_metric_1(u1_metric_1(A),u1_struct_0(A)) <-> v8_metric_1(A)))) # label(d9_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	8000 (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].
119.13/118.83	8001 (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].
119.13/118.83	8002 (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].
119.13/118.83	8003 (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) -> (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))))))))) <-> v5_metric_1(B,A)))) # label(d6_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	8004 (exists A (l1_metric_1(A) & v1_metric_1(A))) # label(rc1_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	8005 (all A (l1_metric_1(A) -> l1_struct_0(A))) # label(dt_l1_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	8006 (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) -> (all D (m1_subset_1(D,A) -> (k1_metric_1(A,A,B,C,D) = np__0 -> D = C))))) <-> v3_metric_1(B,A)))) # label(d4_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	8007 (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].
119.13/118.83	8008 (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)) -> a_3_2_metric_1(A,B,C) = k11_metric_1(B,C,A))))))) # label(t20_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	8009 (exists A (v1_metric_1(A) & -v3_struct_0(A) & l1_metric_1(A))) # label(rc2_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.83	8010 (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) <-> k11_metric_1(A,B,C) = D)) & (-v3_struct_0(A) -> (D = k11_metric_1(A,B,C) <-> (exists E (l1_metric_1(E) & (exists F (m1_subset_1(F,u1_struct_0(E)) & a_3_2_metric_1(C,E,F) = D & F = B & A = E)) & -v3_struct_0(E))))))))))))) # label(d17_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8011 (all A k6_metric_1(A) = g1_metric_1(A,k5_metric_1(A))) # label(d12_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8012 (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)) -> r1_xreal_0(k2_metric_1(A,B,D),k3_real_1(k2_metric_1(A,B,C),k2_metric_1(A,C,D))))))))) <-> v9_metric_1(A)))) # label(t4_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8013 (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) = k1_metric_1(k1_numbers,k1_numbers,k7_metric_1,B,A))))) # label(t10_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8014 (all A (l1_metric_1(k6_metric_1(A)) & v1_metric_1(k6_metric_1(A)))) # label(dt_k6_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8015 (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,C,B) = k4_metric_1(A,B,C))) # label(commutativity_k4_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8016 (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)) -> 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,C,B) = k2_metric_1(A,B,C) & (B = C -> np__0 = k2_metric_1(A,B,C)) & (np__0 = k2_metric_1(A,B,C) -> B = C))))))) -> l1_metric_1(A) & v9_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].
119.13/118.84	8017 (all A (l1_metric_1(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> k2_metric_1(A,B,B) = np__0)) <-> v6_metric_1(A)))) # label(t1_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8018 (all A (v1_xreal_0(A) -> (all B (l1_metric_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k4_subset_1(u1_struct_0(B),k11_metric_1(B,C,A),k9_metric_1(B,C,A)) = k10_metric_1(B,C,A))))))) # label(t17_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8019 (all A (l1_metric_1(A) -> v1_funct_1(u1_metric_1(A)) & m2_relset_1(u1_metric_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers) & v1_funct_2(u1_metric_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers))) # label(dt_u1_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8020 (all A (v6_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v8_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].
119.13/118.84	8021 (all A all B (m2_relset_1(B,k2_zfmisc_1(A,A),k1_numbers) & v1_funct_1(B) -> (v2_metric_1(B,A) <-> (all C (m1_subset_1(C,A) -> np__0 = k1_metric_1(A,A,B,C,C)))))) # label(d3_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8022 (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) -> (k7_metric_1 = A <-> (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_subset_1(C,k1_numbers) -> k1_metric_1(k1_numbers,k1_numbers,A,B,C) = k18_complex1(k5_real_1(B,C))))))))) # label(d13_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8023 (all A all B all C all D all E (m1_relset_1(C,k2_zfmisc_1(A,B),k1_numbers) & m1_subset_1(D,A) & m1_subset_1(E,B) & 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].
119.13/118.84	8024 (all A all B all C all D (-v3_struct_0(C) & m1_subset_1(D,u1_struct_0(C)) & l1_metric_1(C) & v1_xreal_0(B) -> ((exists E (m1_subset_1(E,u1_struct_0(C)) & -r1_xreal_0(B,k2_metric_1(C,D,E)) & A = E)) <-> r2_hidden(A,a_3_0_metric_1(B,C,D))))) # label(fraenkel_a_3_0_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8025 (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(k11_metric_1(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k11_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8026 (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].
119.13/118.84	8027 (exists A l1_metric_1(A)) # label(existence_l1_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8028 (all A (l1_metric_1(A) -> (v9_metric_1(A) <-> v5_metric_1(u1_metric_1(A),u1_struct_0(A))))) # label(d10_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8029 (all A (m1_subset_1(A,k1_numbers) -> (all B (m1_subset_1(B,k1_numbers) -> (A = B <-> k1_metric_1(k1_numbers,k1_numbers,k7_metric_1,A,B) = np__0))))) # label(t9_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8030 (all A all B all C (v1_xreal_0(C) & m1_subset_1(B,u1_struct_0(A)) & l1_metric_1(A) -> 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].
119.13/118.84	8031 (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_1_metric_1(B,C,D)) <-> (exists E (A = E & r1_xreal_0(k2_metric_1(C,D,E),B) & m1_subset_1(E,u1_struct_0(C))))))) # label(fraenkel_a_3_1_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8032 (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].
119.13/118.84	8033 (all A (v6_metric_1(k6_metric_1(A)) & v7_metric_1(k6_metric_1(A)) & v8_metric_1(k6_metric_1(A)) & v9_metric_1(k6_metric_1(A)) & v1_metric_1(k6_metric_1(A)))) # label(fc2_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8034 $T # label(t8_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8035 (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) = np__0 -> B = C))))) <-> v7_metric_1(A)))) # label(t2_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8036 (all A (l1_metric_1(A) -> (v2_metric_1(u1_metric_1(A),u1_struct_0(A)) <-> v6_metric_1(A)))) # label(d7_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8037 (all A all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m2_relset_1(B,k2_zfmisc_1(A,A),k1_numbers) -> (k5_metric_1(A) = B <-> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (D != C -> k1_metric_1(A,A,B,C,D) = np__1) & np__0 = k1_metric_1(A,A,B,C,C)))))))) # label(d11_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8038 (all 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) & v1_funct_1(k5_metric_1(A)))) # label(dt_k5_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8039 (all A all B all C all D (v1_xreal_0(B) & l1_metric_1(C) & m1_subset_1(D,u1_struct_0(C)) & -v3_struct_0(C) -> ((exists E (m1_subset_1(E,u1_struct_0(C)) & E = A & k2_metric_1(C,D,E) = B)) <-> r2_hidden(A,a_3_2_metric_1(B,C,D))))) # label(fraenkel_a_3_2_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8040 (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(k10_metric_1(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k10_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8041 (all A all B (v1_funct_1(B) & m1_relset_1(B,k2_zfmisc_1(A,A),k1_numbers) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) -> (all C all D (g1_metric_1(C,D) = g1_metric_1(A,B) -> B = D & A = C)))) # label(free_g1_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8042 (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,C,B) = k2_metric_1(A,B,C))))) <-> v8_metric_1(A)))) # label(t3_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8043 (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].
119.13/118.84	8044 (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) -> (D = k9_metric_1(A,B,C) <-> v1_xboole_0(D))) & (-v3_struct_0(A) -> (D = k9_metric_1(A,B,C) <-> (exists E (-v3_struct_0(E) & l1_metric_1(E) & (exists F (m1_subset_1(F,u1_struct_0(E)) & E = A & F = B & D = a_3_0_metric_1(C,E,F))))))))))))))) # label(d15_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8045 (all A (l1_metric_1(A) -> (v1_metric_1(A) -> A = g1_metric_1(u1_struct_0(A),u1_metric_1(A))))) # label(abstractness_v1_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8046 (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) & A = k2_metric_1(B,C,D) <-> r2_hidden(D,k11_metric_1(B,C,A))))))))))) # label(t14_metric_1) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8047 (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) & v1_funct_2(F,k2_zfmisc_1(A,B),C) & m2_relset_1(F,k2_zfmisc_1(A,B),C) -> k8_funct_2(k2_zfmisc_1(A,B),C,F,k1_domain_1(A,B,D,E)) = k8_funct_2(A,C,k1_cat_2(B,A,C,k1_fraenkel(A,C),k3_cat_2(A,B,C,F),E),D))))))))))))) # label(t4_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8048 (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].
119.13/118.84	8049 (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 (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) & 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)) -> ((exists F ((all G (m1_subset_1(G,u1_cat_1(A)) -> (all H (m1_subset_1(H,u1_cat_1(B)) -> k6_cat_2(u1_cat_1(B),A,C,k7_cat_2(A,C),E,H) = k14_cat_2(B,A,C,F,H) & k6_cat_2(u1_cat_1(A),B,C,k7_cat_2(B,C),D,G) = k15_cat_2(B,A,C,F,G))))) & m2_cat_1(F,k11_cat_2(B,A),C))) -> (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(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)) = 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))))))))))))))))) # label(t53_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8050 (all A (l1_cat_1(A) & v2_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].
119.13/118.84	8051 $T # label(t9_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8052 $T # label(t56_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8053 (all A (v2_cat_1(A) & l1_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].
119.13/118.84	8054 $T # label(t49_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8055 (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(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) & -v1_xboole_0(A) -> 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].
119.13/118.84	8056 $T # label(t26_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8057 (all A all B all C all D (v2_cat_1(A) & l1_cat_1(B) & m1_subset_1(C,u2_cat_1(A)) & m1_subset_1(D,u2_cat_1(B)) & v2_cat_1(B) & l1_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].
119.13/118.84	8058 (all A all B all C all D all E (v2_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) & l1_cat_1(A) -> k13_funct_3(D,E) = k18_cat_2(A,B,C,D,E))) # label(redefinition_k18_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8059 (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 (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_subset_1(F,u2_cat_1(B)) -> k8_funct_2(u2_cat_1(B),u2_cat_1(C),k14_cat_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,k10_cat_1(A,E),F)))))))))))))) # label(t47_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8060 (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,u1_cat_1(B)) & m2_cat_1(D,k11_cat_2(A,B),C) & v2_cat_1(B) -> m2_cat_1(k15_cat_2(A,B,C,D,E),A,C))) # label(dt_k15_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8061 (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))) -> 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].
119.13/118.84	8062 (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)) -> 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].
119.13/118.84	8063 (all A all B all C all D all E all F (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(D) & m2_cat_1(E,A,C) & m2_cat_1(F,B,D) & v2_cat_1(D) & l1_cat_1(C) & v2_cat_1(C) & l1_cat_1(B) -> 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].
119.13/118.84	8064 $T # label(t46_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8065 $T # label(t8_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8066 (all A all B all C all D all E all F (-v1_xboole_0(B) & v1_funct_1(E) & v1_funct_2(E,A,C) & v1_funct_1(F) & v1_funct_2(F,B,D) & m1_relset_1(F,B,D) & m1_relset_1(E,A,C) & -v1_xboole_0(D) & -v1_xboole_0(C) & -v1_xboole_0(A) -> m2_relset_1(k9_cat_2(A,B,C,D,E,F),k2_zfmisc_1(A,B),k2_zfmisc_1(C,D)) & v1_funct_2(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].
119.13/118.84	8067 (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 (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_subset_1(F,u1_cat_1(B)) -> 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)) = 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))))))))))))) # label(t51_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8068 (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].
119.13/118.84	8069 $T # label(t10_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8070 (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)) -> 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].
119.13/118.84	8071 (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].
119.13/118.84	8072 $T # label(dt_k5_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8073 $T # label(t32_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8074 (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(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].
119.13/118.84	8075 (all A (v2_cat_1(A) & l1_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].
119.13/118.84	8076 (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)) -> 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].
119.13/118.84	8077 (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].
119.13/118.84	8078 (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,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].
119.13/118.84	8079 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(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 -> r1_tarski(k6_cat_1(B,C,D),k6_cat_1(A,E,F))))))))))) & 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(B,C) = k10_cat_1(A,D)))))) & r1_tarski(u1_cat_1(B),u1_cat_1(A))))))) # label(d4_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8080 (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 (m1_subset_1(D,C) <-> m2_cat_2(D,A,B,C))))) # label(redefinition_m2_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8081 $T # label(t57_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8082 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (k5_cat_2(A,B) = C <-> (all D (m2_cat_1(D,A,B) <-> r2_hidden(D,C))))))))) # label(d2_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8083 (all A (v2_cat_1(A) & l1_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].
119.13/118.84	8084 (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)) -> 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].
119.13/118.84	8085 (all A all B (v2_cat_1(A) & l1_cat_1(A) & l1_cat_1(B) & v2_cat_1(B) -> 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].
119.13/118.84	8086 (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].
119.13/118.84	8087 (all A all B all C all D all E all F (v1_funct_2(E,A,D) & m1_relset_1(E,A,D) & m1_subset_1(F,A) & v1_funct_1(E) & m1_fraenkel(D,B,C) & -v1_xboole_0(C) & -v1_xboole_0(A) -> k1_cat_2(A,B,C,D,E,F) = k1_funct_1(E,F))) # label(redefinition_k1_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8088 (all A all B all C (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & m1_cat_2(C,A,B) & l1_cat_1(B) -> (exists D m2_cat_2(D,A,B,C)))) # label(existence_m2_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8089 (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)) -> (D = F & k3_cat_1(B,C) = k2_cat_1(B,D) & C = E -> k4_cat_1(B,C,D) = k4_cat_1(A,E,F)))))))))))))) # label(t17_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8090 (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) -> (all D (v1_funct_1(D) & v1_funct_2(D,C,B) & m2_relset_1(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_2(G,B,C) & m2_relset_1(G,B,C) & v1_funct_1(G) -> (r1_cat_2(g1_cat_1(B,C,D,E,F,G),A) -> E = k2_partfun1(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),C) & k1_realset1(u5_cat_1(A),C) = F & G = k2_partfun1(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B) & D = k2_partfun1(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),C) & C = k3_tarski(a_2_0_cat_2(A,B))))))))))))))))) # label(t31_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8091 (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(A)) -> (all E (m1_subset_1(E,u2_cat_1(B)) -> (all F (m1_subset_1(F,u2_cat_1(B)) -> (k3_cat_1(B,E) = k2_cat_1(B,F) & k2_cat_1(A,D) = k3_cat_1(A,C) -> k13_cat_2(A,B,k4_cat_1(A,C,D),k4_cat_1(B,E,F)) = k4_cat_1(k11_cat_2(A,B),k13_cat_2(A,B,C,E),k13_cat_2(A,B,D,F))))))))))))))) # label(t39_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8092 (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) -> m2_relset_1(k2_cat_2(A,B,C,D),A,k1_fraenkel(B,C)) & v1_funct_2(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].
119.13/118.84	8093 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> k2_zfmisc_1(u1_cat_1(A),u1_cat_1(B)) = u1_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)) = u4_cat_1(k11_cat_2(A,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)) & 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)) = u3_cat_1(k11_cat_2(A,B)) & k2_zfmisc_1(u2_cat_1(A),u2_cat_1(B)) = u2_cat_1(k11_cat_2(A,B)))))) # label(t33_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8094 (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)) -> k14_cat_2(A,B,C,D,E) = k1_funct_1(k3_funct_5(D),k10_cat_1(A,E)))))))))))) # label(d8_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8095 (all A (l1_cat_1(A) & v2_cat_1(A) -> (exists B (v2_cat_1(B) & v1_cat_1(B) & m3_cat_2(B,A))))) # label(rc1_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8096 (all A (v2_cat_1(A) & l1_cat_1(A) -> m3_cat_2(A,A))) # label(t18_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8097 (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].
119.13/118.84	8098 (all A all B all C all D all E all F (m1_cat_2(D,B,C) & v1_funct_2(E,A,D) & m1_relset_1(E,A,D) & m1_subset_1(F,A) & v1_funct_1(E) & l1_cat_1(C) & v2_cat_1(C) & l1_cat_1(B) & v2_cat_1(B) & -v1_xboole_0(A) -> 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].
119.13/118.84	8099 (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)) -> 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)) & k2_cat_1(k11_cat_2(A,B),k13_cat_2(A,B,C,D)) = k12_cat_2(A,B,k2_cat_1(A,C),k2_cat_1(B,D)))))))))) # label(t38_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8100 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m3_cat_2(B,A) -> (v9_cat_1(k8_cat_2(A,B),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)) -> (D = F & C = E -> k6_cat_1(B,C,D) = k6_cat_1(A,E,F))))))))))))))) # label(t25_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8101 (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) -> k8_funct_2(k2_zfmisc_1(A,B),C,F,k1_domain_1(A,B,D,E)) = k8_funct_2(B,C,k1_cat_2(A,B,C,k1_fraenkel(B,C),k2_cat_2(A,B,C,F),D),E))))))))))))) # label(t3_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8102 (all A all B (l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(A) -> (exists C m1_cat_2(C,A,B)))) # label(existence_m1_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8103 (all A (l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (m3_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)) -> (D = F & E = C -> k6_cat_1(A,C,D) = k6_cat_1(B,E,F)))))))))) <-> r1_cat_2(A,B)))))) # label(d6_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8104 (all A (v2_cat_1(A) & l1_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].
119.13/118.84	8105 (all A all B all C all D (v2_cat_1(A) & v2_cat_1(B) & m1_subset_1(C,u2_cat_1(A)) & m1_subset_1(D,u2_cat_1(B)) & l1_cat_1(B) & l1_cat_1(A) -> k4_tarski(C,D) = k13_cat_2(A,B,C,D))) # label(redefinition_k13_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8106 (all A all B (v2_cat_1(A) & l1_cat_1(A) & l1_cat_1(B) & v2_cat_1(B) -> 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].
119.13/118.84	8107 (all A all B all C all D (v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_relset_1(D,k2_zfmisc_1(A,B),C) & -v1_xboole_0(C) & -v1_xboole_0(B) & -v1_xboole_0(A) -> k3_cat_2(A,B,C,D) = k5_funct_5(D))) # label(redefinition_k3_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8108 (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)) -> 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].
119.13/118.84	8109 (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(B,A),C) & v1_funct_2(D,k2_zfmisc_1(B,A),C) -> v1_funct_1(k5_funct_5(D)) & v1_funct_2(k5_funct_5(D),A,k1_fraenkel(B,C)) & m2_relset_1(k5_funct_5(D),A,k1_fraenkel(B,C)))))))))) # label(t2_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8110 $T # label(t20_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8111 (all A all B (v2_cat_1(B) & l1_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> v2_cat_1(k11_cat_2(A,B)) & v1_cat_1(k11_cat_2(A,B)))) # label(fc2_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8112 (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) -> (all C (-v1_xboole_0(C) -> (all D (m2_relset_1(D,C,B) & v1_funct_2(D,C,B) & v1_funct_1(D) -> (all E (m2_relset_1(E,C,B) & v1_funct_2(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_2(G,B,C) & m2_relset_1(G,B,C) & v1_funct_1(G) -> (D = k2_partfun1(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),C) & G = k2_partfun1(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B) & F = k1_realset1(u5_cat_1(A),C) & E = k2_partfun1(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),C) & C = k3_tarski(a_2_0_cat_2(A,B)) -> r1_cat_2(g1_cat_1(B,C,D,E,F,G),A)))))))))))))))) # label(t30_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8113 (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) -> (F = D & E = C -> m1_cat_1(G,A,E,F) | k1_xboole_0 = k6_cat_1(B,C,D)))))))))))))))) # label(t16_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8114 (all A all B (l1_cat_1(B) & v2_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> m1_cat_2(k7_cat_2(A,B),A,B))) # label(dt_k7_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8115 (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].
119.13/118.84	8116 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m3_cat_2(B,A) -> l1_cat_1(B) & v2_cat_1(B))))) # label(dt_m3_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8117 (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,C,D) -> 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)) = k9_cat_2(u2_cat_1(A),u2_cat_1(C),u2_cat_1(B),u2_cat_1(D),E,F))))))))))))) # label(t64_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8118 (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)) -> 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].
119.13/118.84	8119 (all A all B (l1_cat_1(A) & l1_cat_1(B) & v2_cat_1(B) & v2_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].
119.13/118.84	8120 (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) -> 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].
119.13/118.84	8121 $T # label(t11_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8122 (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)) -> 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)) = C)))))))) # label(t58_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.13/118.84	8123 (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) -> k4_tarski(C,D) = k12_cat_2(A,B,C,D))) # label(redefinition_k12_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.84	8124 (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(A)) -> (all E (m1_subset_1(E,u2_cat_1(B)) -> (all F (m1_subset_1(F,u2_cat_1(B)) -> (k3_cat_1(k11_cat_2(A,B),k13_cat_2(A,B,C,E)) = k2_cat_1(k11_cat_2(A,B),k13_cat_2(A,B,D,F)) -> k13_cat_2(A,B,k4_cat_1(A,C,D),k4_cat_1(B,E,F)) = k4_cat_1(k11_cat_2(A,B),k13_cat_2(A,B,C,E),k13_cat_2(A,B,D,F))))))))))))))) # label(t40_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.84	8125 (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) & l1_cat_1(C) & m2_cat_1(E,A,C) & m2_cat_1(D,A,B) & v2_cat_1(C) -> 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].
119.23/118.84	8126 (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) -> 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].
119.23/118.84	8127 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_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].
119.23/118.84	8128 (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) -> (C = k3_tarski(a_2_0_cat_2(A,B)) -> v1_funct_1(k2_partfun1(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),C)) & 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(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),C),C,B) & m2_relset_1(k2_partfun1(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),C),C,B) & v1_funct_1(k1_realset1(u5_cat_1(A),C)) & v1_funct_1(k2_partfun1(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B)) & m2_relset_1(k2_partfun1(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B),B,C) & v1_funct_2(k2_partfun1(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B),B,C) & m2_relset_1(k1_realset1(u5_cat_1(A),C),k2_zfmisc_1(C,C),C) & v1_funct_2(k2_partfun1(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),C),C,B)))))))) # label(t29_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.84	8129 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> k9_funct_3(u2_cat_1(A),u2_cat_1(B)) = k16_cat_2(A,B))))) # label(d10_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.84	8130 (all A all B (m3_cat_2(B,A) & l1_cat_1(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].
119.23/118.84	8131 $T # label(t5_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.84	8132 (all A all B (v2_cat_1(B) & l1_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> k5_cat_2(A,B) = k7_cat_2(A,B))) # label(redefinition_k7_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.84	8133 (all A all B all C all D (-v1_xboole_0(B) & 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(A) -> k3_funct_5(D) = k2_cat_2(A,B,C,D))) # label(redefinition_k2_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.84	8134 (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) -> ((exists D exists E (m1_subset_1(D,u1_cat_1(B)) & m1_subset_1(E,u1_cat_1(B)) & r2_hidden(D,C) & r2_hidden(E,C) & k6_cat_1(B,D,E) = A)) <-> r2_hidden(A,a_2_0_cat_2(B,C))))) # label(fraenkel_a_2_0_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.84	8135 (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)) -> C = k13_cat_1(B,A,k8_cat_2(A,B),C))))))) # label(t23_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.84	8136 (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 (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].
119.23/118.84	8137 (all A all B all C all D all E all F (-v1_xboole_0(C) & m1_fraenkel(D,B,C) & v1_funct_2(E,A,D) & m1_subset_1(F,A) & m1_relset_1(E,A,D) & v1_funct_1(E) & -v1_xboole_0(A) -> 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].
119.23/118.84	8138 (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 (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 (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].
119.23/118.84	8139 (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) -> -(-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)) & k6_cat_1(B,F,G) != k1_xboole_0 & k1_xboole_0 != k6_cat_1(A,C,D)))))))))))))))))) # label(t43_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.84	8140 (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].
119.23/118.84	8141 (all A all B all C all D (v1_funct_1(D) & m1_relset_1(D,k2_zfmisc_1(B,B),B) & 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(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].
119.23/118.84	8142 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> k10_funct_3(u2_cat_1(A),u2_cat_1(B)) = k17_cat_2(A,B))))) # label(d11_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.84	8143 (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 (k13_cat_2(A,B,D,E) = C & m1_subset_1(E,u2_cat_1(B)))))))))))) # label(t37_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.84	8144 (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)) -> 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].
119.23/118.84	8145 (all A all B all C all D (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) & -v1_xboole_0(A) -> v1_funct_1(k3_cat_2(A,B,C,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)))) # label(dt_k3_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.84	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].
119.23/118.84	8147 (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(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].
119.23/118.84	8148 (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 (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)) & v1_funct_1(D) -> (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)) -> 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)) = k8_funct_2(u2_cat_1(k11_cat_2(B,A)),u2_cat_1(C),F,k13_cat_2(B,A,G,H))))))))))))))))))) # label(t52_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.84	8149 (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)) -> k13_cat_2(A,B,k10_cat_1(A,C),k10_cat_1(B,D)) = k10_cat_1(k11_cat_2(A,B),k12_cat_2(A,B,C,D)))))))))) # label(t41_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.84	8150 (all A all B all C all D all E (l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,k11_cat_2(A,B),C) & m1_subset_1(E,u1_cat_1(A)) & v2_cat_1(B) & l1_cat_1(A) & 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].
119.23/118.84	8151 (all A all B all C all D all E all F (-v1_xboole_0(A) & v2_cat_1(C) & l1_cat_1(C) & v1_funct_1(E) & m1_relset_1(E,A,D) & m1_subset_1(F,A) & v1_funct_2(E,A,D) & m1_cat_2(D,B,C) & l1_cat_1(B) & v2_cat_1(B) -> 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].
119.23/118.84	8152 (all A all B (v2_cat_1(B) & l1_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> v2_cat_1(k11_cat_2(A,B)) & l1_cat_1(k11_cat_2(A,B)))) # label(dt_k11_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.84	8153 (all A (v2_cat_1(A) & l1_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].
119.23/118.84	8154 (all A all B all C all D (v2_cat_1(B) & m1_subset_1(D,u1_cat_1(B)) & m1_subset_1(C,u1_cat_1(A)) & l1_cat_1(B) & l1_cat_1(A) & v2_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].
119.23/118.84	8155 (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].
119.23/118.84	8156 (all A all B all C (v2_cat_1(B) & m1_subset_1(C,u1_cat_1(B)) & l1_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].
119.23/118.85	8157 (all A all B (v2_cat_1(A) & l1_cat_1(A) & l1_cat_1(B) & v2_cat_1(B) -> -v1_xboole_0(k5_cat_2(A,B)))) # label(fc1_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8158 (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].
119.23/118.85	8159 (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(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].
119.23/118.85	8160 (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(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].
119.23/118.85	8161 (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,u2_cat_1(B)) -> k8_funct_2(u2_cat_1(B),u2_cat_1(A),k4_cat_2(B,A,C),D) = k10_cat_1(A,C))))))))) # label(t6_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8162 (all A all B all C all D all E all F (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & v2_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(C) & l1_cat_1(B) -> k15_funct_3(E,F) = k19_cat_2(A,B,C,D,E,F))) # label(redefinition_k19_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8163 (all A all B all C all D (v1_funct_1(C) & v1_funct_1(D) & m1_relset_1(D,k2_zfmisc_1(B,B),B) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & -v1_xboole_0(B) & -v1_xboole_0(A) -> k10_cat_2(A,B,C,D) = k3_funct_4(C,D))) # label(redefinition_k10_cat_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8164 (all A all B all C (v2_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m1_cat_2(C,A,B) & l1_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].
119.23/118.85	8165 $T # label(t68_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8166 $T # label(t31_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8167 (all A all B (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & -v3_struct_0(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) & v4_rlvect_1(B) & v3_rlvect_1(B) & l3_vectsp_1(A) & v4_group_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> -v3_struct_0(k9_vectsp_2(A,B)) & v4_rlvect_1(k9_vectsp_2(A,B)) & l2_vectsp_2(k9_vectsp_2(A,B),A,B) & v4_vectsp_2(k9_vectsp_2(A,B),A,B) & v6_rlvect_1(k9_vectsp_2(A,B)) & v5_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].
119.23/118.85	8168 (all A all B (l1_struct_0(B) & l1_struct_0(A) -> (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].
119.23/118.85	8169 (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].
119.23/118.85	8170 (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].
119.23/118.85	8171 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & l1_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)) -> (exists D (k4_rlvect_1(A,C,D) = B & k4_rlvect_1(A,D,C) = B & m1_subset_1(D,u1_struct_0(A)))))))))) # label(t38_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8172 (all A (l1_vectsp_1(A) -> (-v3_struct_0(A) & v7_group_1(A) & v6_vectsp_1(A) -> v2_group_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & -v3_struct_0(A)))) # label(cc3_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8173 $T # label(t37_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8174 (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) & v6_vectsp_1(A) & v4_group_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)) & l4_vectsp_1(k4_vectsp_2(A),A) & v11_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].
119.23/118.85	8175 (exists A (l3_vectsp_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v2_group_1(A) & v4_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v5_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A))) # label(rc3_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8176 $T # label(t74_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8177 $T # label(t10_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8178 $T # label(t12_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8179 $T # label(t7_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8180 (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) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v6_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)) -> (B != k1_rlvect_1(A) -> k2_group_1(A) = k2_vectsp_2(A,B,B)))))) # label(t52_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8181 $T # label(t11_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8182 $T # label(t21_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8183 (all A (l1_vectsp_1(A) -> (-v3_struct_0(A) & v1_vectsp_2(A) -> v2_group_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & -v3_struct_0(A)))) # label(cc1_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8184 $T # label(t15_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8185 (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) -> 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].
119.23/118.85	8186 (all A all B all C all D all E all F all G (l1_struct_0(B) & m1_subset_1(E,C) & v1_funct_1(F) & v1_funct_1(G) & 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) & 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) & m1_relset_1(D,k2_zfmisc_1(C,C),C) & v1_funct_2(D,k2_zfmisc_1(C,C),C) & v1_funct_1(D) & -v1_xboole_0(C) & l1_struct_0(A) -> v4_vectsp_2(g2_vectsp_2(A,B,C,D,E,F,G),A,B) & -v3_struct_0(g2_vectsp_2(A,B,C,D,E,F,G)))) # label(fc2_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8187 $T # label(d10_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8188 (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) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v4_group_1(B) & v6_vectsp_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & v7_vectsp_1(B) & v5_rlvect_1(B) -> (all C (-v3_struct_0(C) & l2_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)))))))) <-> v6_vectsp_2(C,A,B)))))))) # label(d24_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8189 (all A (-v3_struct_0(A) & v3_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) & 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)) -> -(k1_group_1(A,k1_vectsp_2(A,B),k1_vectsp_2(A,C)) != k1_vectsp_2(A,k1_group_1(A,C,B)) & k1_rlvect_1(A) != C & k1_rlvect_1(A) != B))))))) # label(t46_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8190 (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) -> (exists B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v3_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & l1_vectsp_2(B,A))))) # label(rc13_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8191 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v7_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)) -> (k2_group_1(A) = k1_group_1(A,B,C) -> B != k1_rlvect_1(A) & k1_rlvect_1(A) != C))))))) # label(t39_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8192 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_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) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (k1_rlvect_1(A) != B -> k2_vectsp_2(A,k2_group_1(A),k1_vectsp_2(A,B)) = B & k2_vectsp_2(A,k2_group_1(A),B) = k1_vectsp_2(A,B)))))) # label(t50_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8193 (all A (v6_rlvect_1(A) & v6_vectsp_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) & 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)) -> (B != k1_rlvect_1(A) -> k2_vectsp_2(A,k6_rlvect_1(A,C,D),B) = k6_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) = k4_rlvect_1(A,k2_vectsp_2(A,C,B),k2_vectsp_2(A,D,B))))))))))) # label(t55_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8194 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_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)) -> k1_group_1(A,B,k1_vectsp_2(A,C)) = k2_vectsp_2(A,B,C))))))) # label(d8_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8195 $T # label(t58_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8196 (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].
119.23/118.85	8197 $T # label(t62_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8198 (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) & v8_vectsp_1(A) & v4_group_1(B) & v6_vectsp_1(B) & v7_vectsp_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) & l3_vectsp_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (exists C (l2_vectsp_2(C,A,B) & v3_rlvect_1(C) & v4_vectsp_2(C,A,B) & v5_vectsp_2(C,B) & v6_vectsp_2(C,A,B) & v12_vectsp_1(C,A) & v6_rlvect_1(C) & v5_rlvect_1(C) & v4_rlvect_1(C) & -v3_struct_0(C))))) # label(rc17_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8199 (all A all B all C all D all E all F all G (l1_struct_0(A) & l1_struct_0(B) & v1_funct_2(D,k2_zfmisc_1(C,C),C) & m1_relset_1(D,k2_zfmisc_1(C,C),C) & 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) & v1_funct_1(G) & 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(F) & m1_subset_1(E,C) & v1_funct_1(D) -> (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) -> C = J & E = L & M = F & N = G & D = K & B = I & A = H)))) # label(free_g2_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8200 (all A (l1_struct_0(A) -> (exists B (v3_vectsp_2(B,A) & l1_vectsp_2(B,A))))) # label(rc8_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8201 (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) -> -v3_struct_0(k3_vectsp_2(A)) & v1_rlvect_1(k3_vectsp_2(A)) & v6_rlvect_1(k3_vectsp_2(A)) & l1_rlvect_1(k3_vectsp_2(A)) & v5_rlvect_1(k3_vectsp_2(A)) & v4_rlvect_1(k3_vectsp_2(A)) & v3_rlvect_1(k3_vectsp_2(A)))) # label(dt_k3_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8202 $T # label(t33_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8203 $T # label(t70_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8204 $T # label(t79_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8205 (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) = k1_rlvect_1(A) & k1_rlvect_1(A) != B & C != k1_rlvect_1(A)))))) <-> v2_vectsp_2(A)))) # label(d5_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8206 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_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) & 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)) -> (k1_group_1(A,B,C) = k2_group_1(A) -> k1_vectsp_2(A,B) = C & B = k1_vectsp_2(A,C)))))))) # label(t45_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8207 (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].
119.23/118.85	8208 (all A (v6_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) & 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)) -> (k1_group_1(A,B,D) = k1_group_1(A,B,C) -> D = C | B = k1_rlvect_1(A)))))))))) # label(t42_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8209 (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 (m1_subset_1(B,u1_struct_0(A)) -> k2_group_1(A) != k1_rlvect_1(A) & -(B != k1_rlvect_1(A) & (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_group_1(A) != k1_group_1(A,B,C)))))) -> -v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A)))) # label(t16_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8210 (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 (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 = k6_rlvect_1(A,D,C) -> D = k4_rlvect_1(A,B,C)) & (k4_rlvect_1(A,B,C) = D -> C = k6_rlvect_1(A,D,B)) & (C = k6_rlvect_1(A,D,B) -> D = k4_rlvect_1(A,B,C)) & (k4_rlvect_1(A,B,C) = D -> B = k6_rlvect_1(A,D,C)))))))))) # label(t22_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8211 $T # label(t65_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8212 (all A all B (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v2_group_1(A) & v4_group_1(A) & l3_vectsp_1(A) & m1_subset_1(B,u1_struct_0(A)) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & v4_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].
119.23/118.85	8213 (exists A (l3_vectsp_1(A) & -v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v3_vectsp_1(A) & v2_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A))) # label(rc4_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8214 $T # label(t4_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8215 (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].
119.23/118.85	8216 (exists A (l3_vectsp_1(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) & v5_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_vectsp_1(A) & v3_vectsp_1(A) & v6_rlvect_1(A))) # label(rc2_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8217 $T # label(d22_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8218 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v9_vectsp_1(A) & v2_group_1(A) & v5_rlvect_1(A) & v4_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)) -> (C = k1_vectsp_2(A,B) <-> k1_group_1(A,B,C) = k2_group_1(A))))))))) # label(d7_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8219 (all A (-v3_struct_0(A) & l3_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)) -> k2_rlvect_1(A,B,k5_rlvect_1(A,B)) = k1_rlvect_1(A) & 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)) & 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_group_1(A,B,k1_group_1(A,C,D)) = k1_group_1(A,k1_group_1(A,B,C),D) & k1_group_1(A,k2_group_1(A),B) = B & k1_group_1(A,B,k2_group_1(A)) = B & B = k2_rlvect_1(A,B,k1_rlvect_1(A)) & k2_rlvect_1(A,k2_rlvect_1(A,B,C),D) = k2_rlvect_1(A,B,k2_rlvect_1(A,C,D)) & k2_rlvect_1(A,C,B) = k2_rlvect_1(A,B,C))))))) <-> 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) & -v3_struct_0(A)))) # label(t1_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8220 $T # label(t36_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8221 (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) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v7_group_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> -v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_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) & v4_rlvect_1(A))) # label(t13_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8222 (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)) -> (k5_rlvect_1(A,B) = k1_rlvect_1(A) <-> k1_rlvect_1(A) = B))))) # label(t34_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8223 (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) & l3_vectsp_1(A) & -v10_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 (m1_subset_1(C,u1_struct_0(A)) -> -(B != k1_rlvect_1(A) & C != k1_rlvect_1(A) & k1_group_1(A,B,C) = k1_rlvect_1(A)))))))) # label(t47_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8224 $T # label(t69_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8225 (all A all B all C (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & -v10_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(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].
119.23/118.85	8226 $T # label(t81_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8227 $T # label(t26_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8228 (all A (m2_relset_1(A,k1_tarski(k1_xboole_0),k1_tarski(k1_xboole_0)) & v1_funct_2(A,k1_tarski(k1_xboole_0),k1_tarski(k1_xboole_0)) & v1_funct_1(A) -> A = k7_vectsp_2)) # label(d17_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8229 (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) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v6_vectsp_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)) -> -(B != 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) & k1_rlvect_1(A) != C))))))))) # label(t56_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8230 (all A all B all C (l1_struct_0(A) & l2_vectsp_2(C,A,B) & l1_struct_0(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].
119.23/118.85	8231 (all A (-v3_struct_0(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) & 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_rlvect_1(A) != B & k2_vectsp_2(A,D,B) != k2_vectsp_2(A,k1_group_1(A,D,C),k1_group_1(A,B,C)) & k1_rlvect_1(A) != C))))))))) # label(t53_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8232 (all A (-v3_struct_0(A) & l1_vectsp_1(A) -> (v1_vectsp_2(A) -> k2_vectsp_1(A) = k2_group_1(A)))) # label(t85_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8233 (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)) -> k2_binop_1(u1_struct_0(B),u1_struct_0(A),u1_struct_0(B),u1_vectsp_2(A,B),D,C) = k6_vectsp_2(A,B,C,D))))))))) # label(d15_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8234 $T # label(t80_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8235 $T # label(d12_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8236 (all A all B (l1_struct_0(B) & l1_struct_0(A) -> (exists C (v4_vectsp_2(C,A,B) & l2_vectsp_2(C,A,B))))) # label(rc10_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8237 $T # label(t72_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8238 (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].
119.23/118.85	8239 $T # label(d6_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8240 (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].
119.23/118.85	8241 (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) & v6_vectsp_1(A) & -v3_struct_0(A) -> (exists B (l4_vectsp_1(B,A) & -v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & v11_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B))))) # label(rc12_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8242 $T # label(d4_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8243 $T # label(t25_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8244 (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) & v7_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v8_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)) -> k1_group_1(A,C,B) != k2_group_1(A))) & k1_rlvect_1(A) != B))))) # label(t40_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8245 $T # label(t35_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8246 $T # label(t6_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8247 (exists A (v5_rlvect_1(A) & v4_vectsp_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & v5_vectsp_1(A) & v4_group_1(A) & v2_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) & l3_vectsp_1(A))) # label(rc6_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8248 $T # label(t64_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8249 (all A all B (l1_struct_0(A) & l1_vectsp_2(B,A) -> (v3_vectsp_2(B,A) -> B = g1_vectsp_2(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u1_vectsp_2(A,B))))) # label(abstractness_v3_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8250 (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 (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),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)) & k6_vectsp_2(A,k5_vectsp_2(A),k2_group_1(A),D) = D & 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)))))))))))) # label(t77_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8251 $T # label(d16_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8252 $T # label(d20_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8253 (all A all B (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_vectsp_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & v6_vectsp_1(B) & v4_group_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_rlvect_1(A) -> (exists C (l2_vectsp_2(C,A,B) & v3_rlvect_1(C) & v4_rlvect_1(C) & v4_vectsp_2(C,A,B) & v6_rlvect_1(C) & v5_rlvect_1(C) & -v3_struct_0(C))))) # label(rc14_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8254 (all A (-v3_struct_0(A) & v3_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) & v4_rlvect_1(A) -> (exists B (-v3_struct_0(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & v11_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & l4_vectsp_1(B,A))))) # label(rc15_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8255 $T # label(t17_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8256 (all A all B all C all D all E (l1_struct_0(A) & v1_funct_1(C) & 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) & m1_subset_1(D,B) & m1_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & -v1_xboole_0(B) -> 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].
119.23/118.85	8257 $T # label(t27_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8258 $T # label(t76_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8259 $T # label(t8_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8260 (all A (v3_rlvect_1(A) & v5_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) & v6_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)) -> (B != k1_rlvect_1(A) -> k2_vectsp_2(A,k5_rlvect_1(A,C),B) = 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))))))))) # label(t54_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8261 (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) -> (exists B (l1_vectsp_2(B,A) & 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) & -v3_struct_0(B))))) # label(rc16_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8262 $T # label(t2_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8263 $T # label(t44_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8264 $T # label(t67_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8265 $T # label(t3_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8266 (exists A (l3_vectsp_1(A) & v2_group_1(A) & v3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v5_vectsp_1(A) & v4_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A))) # label(rc1_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8267 (exists A (l3_vectsp_1(A) & v5_rlvect_1(A) & v3_vectsp_1(A) & v4_vectsp_1(A) & v8_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v5_vectsp_1(A) & v4_group_1(A) & v2_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A))) # label(rc7_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8268 $T # label(t82_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8269 $T # label(d1_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8270 (all A (-v3_struct_0(A) & v4_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) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (k1_rlvect_1(A) != B -> k2_group_1(A) = k1_group_1(A,k2_vectsp_2(A,k2_group_1(A),B),B) & k1_group_1(A,B,k2_vectsp_2(A,k2_group_1(A),B)) = k2_group_1(A)))))) # label(t51_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8271 (all A all B all C all D all E all F all G (l1_struct_0(A) & v1_funct_1(D) & v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(u1_struct_0(A),C),C) & m1_relset_1(F,k2_zfmisc_1(u1_struct_0(A),C),C) & 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_subset_1(E,C) & m1_relset_1(D,k2_zfmisc_1(C,C),C) & v1_funct_2(D,k2_zfmisc_1(C,C),C) & l1_struct_0(B) -> l2_vectsp_2(g2_vectsp_2(A,B,C,D,E,F,G),A,B) & v4_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].
119.23/118.85	8272 $T # label(t23_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8273 (all 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) & v3_rlvect_1(A) & -v3_struct_0(A) -> -v3_struct_0(k4_vectsp_2(A)) & v3_rlvect_1(k4_vectsp_2(A)) & v4_rlvect_1(k4_vectsp_2(A)) & v11_vectsp_1(k4_vectsp_2(A),A) & v12_vectsp_1(k4_vectsp_2(A),A) & v6_rlvect_1(k4_vectsp_2(A)) & v5_rlvect_1(k4_vectsp_2(A)))) # label(fc3_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8274 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v4_group_1(A) & v6_vectsp_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) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> -(k1_vectsp_2(A,B) = k1_rlvect_1(A) & k1_rlvect_1(A) != B))))) # label(t48_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8275 $T # label(t24_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8276 $T # label(t60_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8277 (all 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_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) & v7_vectsp_1(B) & l3_vectsp_1(B) & v8_vectsp_1(B) & v6_vectsp_1(B) & v4_group_1(B) & v4_rlvect_1(B) -> k9_vectsp_2(A,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))))))) # label(d21_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8278 (all A (-v3_struct_0(A) & v3_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) & v4_rlvect_1(A) -> g1_vectsp_2(A,u1_struct_0(A),u1_rlvect_1(A),u2_struct_0(A),u1_group_1(A)) = k5_vectsp_2(A))) # label(d14_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8279 $T # label(t5_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8280 $T # label(t75_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8281 $T # label(t20_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8282 $T # label(t73_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8283 (all A (v3_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) & v4_rlvect_1(A) & -v3_struct_0(A) -> v3_rlvect_1(k5_vectsp_2(A)) & v4_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) & -v3_struct_0(k5_vectsp_2(A)))) # label(fc4_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8284 (all A (-v3_struct_0(A) & l1_vectsp_1(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> k1_group_1(A,k2_vectsp_1(A),B) = B & k1_group_1(A,B,k2_vectsp_1(A)) = B)) <-> v1_vectsp_2(A)))) # label(d2_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8285 $T # label(t18_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8286 $T # label(t28_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8287 (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) & v6_vectsp_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & v7_vectsp_1(B) & v4_group_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> -v3_struct_0(k9_vectsp_2(A,B)) & v3_rlvect_1(k9_vectsp_2(A,B)) & v4_rlvect_1(k9_vectsp_2(A,B)) & v5_rlvect_1(k9_vectsp_2(A,B)) & v12_vectsp_1(k9_vectsp_2(A,B),A) & l2_vectsp_2(k9_vectsp_2(A,B),A,B) & v6_vectsp_2(k9_vectsp_2(A,B),A,B) & v5_vectsp_2(k9_vectsp_2(A,B),B) & v6_rlvect_1(k9_vectsp_2(A,B)))))) # label(t84_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8288 (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) -> (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))) -> 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)) = k6_vectsp_1(A,k4_vectsp_2(A),B,k4_rlvect_1(k4_vectsp_2(A),D,E)) & 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),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)) & D = k6_vectsp_1(A,k4_vectsp_2(A),k2_group_1(A),D))))))))))) # label(t71_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.85	8289 $T # label(d3_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8290 $T # label(t19_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8291 $T # label(t14_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8292 $T # label(t61_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8293 $T # label(t63_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8294 (all A (-v3_struct_0(A) & v3_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) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v6_vectsp_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (k1_rlvect_1(A) != B -> k2_group_1(A) = k1_group_1(A,k1_vectsp_2(A,B),B) & k1_group_1(A,B,k1_vectsp_2(A,B)) = k2_group_1(A)))))) # label(t43_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8295 $T # label(t9_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8296 (all A (-v3_struct_0(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_rlvect_1(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_struct_0(k5_vectsp_2(A)))) # label(dt_k5_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8297 (all A (v4_group_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v8_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) & -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) -> k1_group_1(A,C,B) = k2_group_1(A)))))))) # label(t41_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8298 (all A all B all C all D (-v3_struct_0(A) & -v3_struct_0(B) & l1_vectsp_2(B,A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) & l1_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].
119.23/118.86	8299 $T # label(t29_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8300 (exists A (-v3_struct_0(A) & v5_rlvect_1(A) & v2_group_1(A) & v7_group_1(A) & v4_vectsp_1(A) & v6_vectsp_1(A) & v2_vectsp_2(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v5_vectsp_1(A) & v3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & l3_vectsp_1(A))) # label(rc5_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8301 (all A (-v3_struct_0(A) & l3_vectsp_1(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)) -> E = k6_vectsp_2(A,B,k2_group_1(A),E) & 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) & 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,D,E)) & k6_vectsp_2(A,B,C,k2_rlvect_1(B,E,F)) = k2_rlvect_1(B,k6_vectsp_2(A,B,C,E),k6_vectsp_2(A,B,C,F)))))))))) <-> v5_vectsp_2(B,A)))))) # label(d23_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8302 (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) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v5_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,k1_vectsp_2(A,B)) = B))))) # label(t49_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8303 $T # label(t32_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8304 (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_struct_0(B) & v4_rlvect_1(B) & v5_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) & v3_rlvect_1(B) -> (all C (-v3_struct_0(C) & l2_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)) -> 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,F,I)) = k6_vectsp_2(B,C,F,k2_rlvect_1(C,H,I)) & 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,G,H)) = k6_vectsp_2(B,C,k4_rlvect_1(B,F,G),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)) & 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) & k2_rlvect_1(C,k6_vectsp_1(A,C,D,H),k6_vectsp_1(A,C,D,I)) = k6_vectsp_1(A,C,D,k2_rlvect_1(C,H,I)))))))))))))) <-> v6_vectsp_2(C,A,B) & v12_vectsp_1(C,A) & v5_vectsp_2(C,B)))))))) # label(t83_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8305 (all A all B all C all D all E (l1_struct_0(A) & 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) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & v1_funct_1(C) -> (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) -> A = F & G = B & H = C & I = D & E = J)))) # label(free_g1_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8306 $T # label(d19_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8307 $T # label(t78_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8308 $T # label(t66_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8309 (all A all B all C all D all E (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) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & v1_funct_1(C) & 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].
119.23/118.86	8310 (all A (l1_struct_0(A) -> (exists B l1_vectsp_2(B,A)))) # label(existence_l1_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8311 (all A all B (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v4_group_1(B) & v7_vectsp_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & v6_vectsp_1(B) & v6_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) -> v4_rlvect_1(k9_vectsp_2(A,B)) & v5_rlvect_1(k9_vectsp_2(A,B)) & v4_vectsp_2(k9_vectsp_2(A,B),A,B) & v5_vectsp_2(k9_vectsp_2(A,B),B) & v6_vectsp_2(k9_vectsp_2(A,B),A,B) & v12_vectsp_1(k9_vectsp_2(A,B),A) & v6_rlvect_1(k9_vectsp_2(A,B)) & v3_rlvect_1(k9_vectsp_2(A,B)) & -v3_struct_0(k9_vectsp_2(A,B)))) # label(fc5_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8312 (all A (v3_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) & v6_vectsp_1(A) & v4_group_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_rlvect_1(A) != B -> k1_group_1(A,k2_vectsp_2(A,C,B),B) = C))))))) # label(t57_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8313 $T # label(d13_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8314 $T # label(t30_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8315 $T # label(t59_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8316 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & v4_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].
119.23/118.86	8317 $T # label(t16_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8318 (all A (-v3_struct_0(A) & v17_lattices(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_filter_0(B,A) -> (all C (v10_lattices(C) & l3_lattices(C) & v3_filter_0(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].
119.23/118.86	8319 (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) -> 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].
119.23/118.86	8320 (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_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].
119.23/118.86	8321 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_0(B,A) -> (-v3_struct_0(A) & v3_filter_0(A) & l3_lattices(A) & v10_lattices(A) -> m2_relset_1(k10_filter_0(A,B),u1_struct_0(A),u1_struct_0(A)) & v1_partfun1(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].
119.23/118.86	8322 $T # label(t8_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8323 (all A all B (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & m1_filter_0(B,A) & l3_lattices(A) -> v8_relat_2(k12_filter_0(A,B)) & m2_relset_1(k12_filter_0(A,B),u1_struct_0(A),u1_struct_0(A)) & v1_partfun1(k12_filter_0(A,B),u1_struct_0(A),u1_struct_0(A)) & v3_relat_2(k12_filter_0(A,B)))) # label(dt_k12_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8324 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_0(B,A) -> (l3_lattices(A) & r2_hidden(k5_lattices(A),B) & v13_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> k1_filter_0(A) = B & u1_struct_0(A) = B))))) # label(t32_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8325 (all A all B all C (-v3_struct_0(A) & -v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l3_lattices(A) & v10_lattices(A) -> -v1_xboole_0(k5_filter_0(A,B,C)))) # label(fc1_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8326 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(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)) & 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)))))))) # label(t47_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8327 (all A all B (-v3_struct_0(A) & m1_filter_0(B,A) & l3_lattices(A) & v10_lattices(A) -> v3_lattices(k8_filter_0(A,B)) & v4_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)) & v7_lattices(k8_filter_0(A,B)) & v6_lattices(k8_filter_0(A,B)) & v5_lattices(k8_filter_0(A,B)) & -v3_struct_0(k8_filter_0(A,B)))) # label(fc2_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8328 (all A (l3_lattices(A) & v17_lattices(A) & v10_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(C,B) <-> -r2_hidden(k7_lattices(A,C),B))))))))) # label(t59_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8329 (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))) -> a_3_0_filter_0(A,B,C) = k5_filter_0(A,B,C))))))) # label(d9_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8330 (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) -> (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))) -> (B = E & C = F -> 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].
119.23/118.86	8331 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(B,k2_filter_0(A,C)) <-> r3_lattices(A,C,B)))))))) # label(t18_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8332 (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].
119.23/118.86	8333 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v17_lattices(A) -> v3_filter_0(A))) # label(t40_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8334 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_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].
119.23/118.86	8335 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_0(B,A) -> (-v3_struct_0(A) & v10_lattices(A) & v3_filter_0(A) & l3_lattices(A) -> r8_relat_2(k10_filter_0(A,B),u1_struct_0(A))))))) # label(t83_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8336 (all A (v10_lattices(A) & l3_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].
119.23/118.86	8337 (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].
119.23/118.86	8338 (all A all B all C all D (m1_filter_0(D,B) & m1_filter_0(C,B) & l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (r2_hidden(A,a_3_1_filter_0(B,C,D)) <-> (exists E (E = A & (exists F (m1_subset_1(F,u1_struct_0(B)) & (exists G (r2_hidden(G,D) & r2_hidden(F,C) & r3_lattices(B,k4_lattices(B,F,G),E) & m1_subset_1(G,u1_struct_0(B)))))) & m1_subset_1(E,u1_struct_0(B))))))) # label(fraenkel_a_3_1_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8339 (all A (l3_lattices(A) & -v3_struct_0(A) -> (v3_filter_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))))))))))) # label(d7_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8340 (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) & v11_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].
119.23/118.86	8341 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> m1_filter_0(u1_struct_0(A),A))) # label(t15_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8342 (all A (l3_lattices(A) & v17_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (v1_filter_0(B,A) <-> u1_struct_0(A) != B & (all C (m1_subset_1(C,u1_struct_0(A)) -> r2_hidden(C,B) | r2_hidden(k7_lattices(A,C),B)))))))) # label(t57_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8343 $T # label(t79_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8344 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (l3_lattices(A) & -v3_struct_0(A) & v12_lattices(A) & l3_lattices(A) & v10_lattices(A) & v16_lattices(A) & v15_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))) & 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)))))))) # label(t74_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8345 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (-v3_struct_0(A) & r2_hidden(k5_lattices(A),B) & l3_lattices(A) & v13_lattices(A) & v10_lattices(A) -> u1_struct_0(A) = k3_filter_0(A,B) & k3_filter_0(A,B) = k1_filter_0(A)))))) # label(t31_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8346 $T # label(t76_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8347 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_filter_0(B,A) -> (all C (v1_relat_1(C) -> (r1_tarski(k3_relat_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(k9_filter_0(A,D,E),B) <-> r2_hidden(k1_domain_1(u1_struct_0(A),u1_struct_0(A),D,E),C)))))) <-> C = k10_filter_0(A,B)))))))) # label(d12_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8348 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> ((all C (m1_filter_0(C,A) -> (r1_tarski(B,C) -> C = B | u1_struct_0(A) = C))) & B != u1_struct_0(A) <-> v1_filter_0(B,A)))))) # label(d4_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8349 $T # label(t21_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8350 (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)) & l3_lattices(k8_filter_0(A,B)) & v10_lattices(k8_filter_0(A,B)))) # label(dt_k8_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8351 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(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].
119.23/118.86	8352 (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)) -> k4_filter_0(A,B,B) = k6_lattices(A))))) # label(t38_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8353 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(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)) -> 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].
119.23/118.86	8354 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(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].
119.23/118.86	8355 (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 (A = k4_lattices(B,E,F) & r2_hidden(E,C) & r2_hidden(F,D) & m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)))) <-> r2_hidden(A,a_3_0_filter_0(B,C,D))))) # label(fraenkel_a_3_0_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8356 (all A (l3_lattices(A) & v17_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (all C (-v3_struct_0(C) & v10_lattices(C) & v3_filter_0(C) & l3_lattices(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(C,G,D,E) & r1_filter_0(C,G,E,F) -> r1_filter_0(C,G,D,F)) & (r1_filter_0(A,B,H,I) & r1_filter_0(A,B,I,J) -> r1_filter_0(A,B,H,J)))))))))))))))))))))) # label(t90_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8357 $T # label(t33_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8358 (all A all B (-v3_struct_0(A) & v10_lattices(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l3_lattices(A) -> m1_filter_0(k3_filter_0(A,B),A))) # label(dt_k3_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8359 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k5_lattices(k8_filter_0(A,k2_filter_0(A,B))) = B)))) # label(t71_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8360 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (v10_lattices(A) & l3_lattices(A) & v13_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].
119.23/118.86	8361 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v17_lattices(A) -> (all B (m1_filter_0(B,A) -> (B != k1_filter_0(A) & v2_filter_0(B,A) <-> v1_filter_0(B,A)))))) # label(t58_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8362 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v10_lattices(A) & v14_lattices(A) & l3_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].
119.23/118.86	8363 (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,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].
119.23/118.86	8364 (all A all B all C (v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(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].
119.23/118.86	8365 (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)) -> (-v3_struct_0(A) & l3_lattices(A) & v3_filter_0(A) & v10_lattices(A) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (k4_filter_0(A,B,C) = D <-> r3_lattices(A,k4_lattices(A,B,D),C) & (all E (m1_subset_1(E,u1_struct_0(A)) -> (r3_lattices(A,k4_lattices(A,B,E),C) -> r3_lattices(A,E,D)))))))))))))) # label(d8_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8366 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(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].
119.23/118.86	8367 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k5_filter_0(A,B,C) = k5_filter_0(A,C,B))))))) # label(t46_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8368 (all A (l3_lattices(A) -> (v10_lattices(A) & v3_filter_0(A) & -v3_struct_0(A) -> -v3_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v8_lattices(A) & v9_lattices(A) & v11_lattices(A) & v12_lattices(A) & v10_lattices(A) & v7_lattices(A) & v6_lattices(A)))) # label(cc1_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8369 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (-v3_struct_0(A) & l3_lattices(A) & v14_lattices(A) & v10_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].
119.23/118.86	8370 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(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].
119.23/118.86	8371 (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_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].
119.23/118.86	8372 (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 (-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].
119.23/118.86	8373 (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) & v11_lattices(A) -> m1_filter_0(k6_filter_0(A,B,C),A))) # label(dt_k6_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8374 (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) -> (r1_filter_0(A,D,B,C) <-> r2_hidden(k1_domain_1(u1_struct_0(A),u1_struct_0(A),B,C),k10_filter_0(A,D))))))))))) # label(t87_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8375 (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) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (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].
119.23/118.86	8376 $T # label(t43_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8377 (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,B,C) & r3_lattices(A,D,E) -> 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].
119.23/118.86	8378 (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].
119.23/118.86	8379 (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) -> (r1_filter_0(A,D,B,C) -> r1_filter_0(A,D,C,B)))))))))) # label(t89_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8380 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(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].
119.23/118.86	8381 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_0(B,A) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(k3_lattices(A,C,D),B) <-> r2_hidden(D,B) | r2_hidden(C,B)))))) <-> v2_filter_0(B,A)))))) # label(d6_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8382 $T # label(t25_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8383 (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)) -> -(C != B & (all D (m1_filter_0(D,A) -> -((r2_hidden(C,D) & -r2_hidden(B,D) | -r2_hidden(C,D) & r2_hidden(B,D)) & v1_filter_0(D,A))))))))))) # label(t60_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8384 (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)) -> (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].
119.23/118.86	8385 (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) -> (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) <-> k3_filter_0(A,B) = C))))))) # label(d5_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8386 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(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].
119.23/118.86	8387 (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_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))) -> (B = E & F = C -> (r3_lattices(k8_filter_0(A,D),E,F) <-> r3_lattices(A,B,C))))))))))))))) # label(t65_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8388 (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].
119.23/118.86	8389 (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,k3_lattices(A,B,D),k3_lattices(A,C,D)) & r3_lattices(A,k3_lattices(A,B,D),k3_lattices(A,D,C)) & r3_lattices(A,k3_lattices(A,D,B),k3_lattices(A,C,D)) & r3_lattices(A,k3_lattices(A,D,B),k3_lattices(A,D,C))))))))))) # label(t1_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8390 $T # label(t17_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8391 $T # label(t86_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8392 (all A all B (m1_filter_0(B,A) & l3_lattices(A) & v3_filter_0(A) & v10_lattices(A) & -v3_struct_0(A) -> m2_relset_1(k11_filter_0(A,B),u1_struct_0(A),u1_struct_0(A)) & v1_partfun1(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].
119.23/118.86	8393 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v17_lattices(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> v10_lattices(k8_filter_0(A,k2_filter_0(A,B))) & v17_lattices(k8_filter_0(A,k2_filter_0(A,B))) & l3_lattices(k8_filter_0(A,k2_filter_0(A,B))) & -v3_struct_0(k8_filter_0(A,k2_filter_0(A,B)))))))) # label(t75_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8394 (all A (v10_lattices(A) & l3_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].
119.23/118.86	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)) -> 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].
119.23/118.86	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)) -> B = k4_lattices(A,B,C))) & u1_struct_0(A) = k2_filter_0(A,B)))))) # label(t23_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8397 (all A (l3_lattices(A) & v10_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].
119.23/118.86	8398 (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) & v14_lattices(A) & l3_lattices(A) -> r2_hidden(k6_lattices(A),B)))))) # label(t12_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8399 (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].
119.23/118.86	8400 (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_filter_0(A,B,C) = k3_lattices(A,k7_lattices(A,B),C))))))) # label(t55_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8401 (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,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].
119.23/118.86	8402 (all A (l3_lattices(A) & v10_lattices(A) & v3_lattices(A) & -v3_struct_0(A) -> A = k8_filter_0(A,k1_filter_0(A)))) # label(t62_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8403 (all A (v10_lattices(A) & l3_lattices(A) & v3_filter_0(A) & -v3_struct_0(A) -> v14_lattices(A))) # label(t37_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8404 (all A all B (l3_lattices(A) & m1_filter_0(B,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].
119.23/118.86	8405 (all A all B (l3_lattices(A) & m1_filter_0(B,A) & v10_lattices(A) & -v3_struct_0(A) -> v1_relat_1(k10_filter_0(A,B)))) # label(dt_k10_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8406 (all A (v10_lattices(A) & l3_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) -> k3_relat_1(k10_filter_0(A,B)) = u1_struct_0(A)))))) # label(t85_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8407 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> u1_struct_0(A) = k1_filter_0(A))) # label(d2_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8408 (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)) -> k9_filter_0(A,B,C) = k9_filter_0(A,C,B))))))) # label(t77_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8409 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_0(B,A) -> (l3_lattices(A) & v3_filter_0(A) & v10_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].
119.23/118.86	8410 (all A all B all C (v17_lattices(A) & m1_filter_0(B,A) & m1_filter_0(C,A) & l3_lattices(A) & v10_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].
119.23/118.86	8411 (all A all B (v10_lattices(A) & m1_filter_0(B,A) & l3_lattices(A) & v17_lattices(A) & -v3_struct_0(A) -> k12_filter_0(A,B) = k10_filter_0(A,B))) # label(redefinition_k12_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8412 $T # label(t28_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8413 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_filter_0(B,A) -> (all C (-v3_struct_0(C) & v10_lattices(C) & l3_lattices(C) -> ((exists D (v1_funct_1(D) & m2_relset_1(D,k2_zfmisc_1(B,B),B) & (exists E (C = g3_lattices(B,D,E) & k1_realset1(u1_lattices(A),B) = 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) & v1_funct_1(E))) & v1_funct_2(D,k2_zfmisc_1(B,B),B))) <-> k8_filter_0(A,B) = C))))))) # label(d10_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.86	8414 (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].
119.23/118.86	8415 (exists A (l3_lattices(A) & -v3_struct_0(A) & v4_lattices(A) & v7_lattices(A) & v9_lattices(A) & v10_lattices(A) & v3_filter_0(A) & v8_lattices(A) & v6_lattices(A) & v5_lattices(A) & v3_lattices(A))) # label(rc1_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8416 (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)) -> (k4_lattices(A,B,k7_lattices(A,C)) = k5_lattices(A) <-> r3_lattices(A,B,C)))))))) # label(t56_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8417 (all A all B all C (-v3_struct_0(A) & l3_lattices(A) & m1_filter_0(B,A) & m1_filter_0(C,A) & v17_lattices(A) & v10_lattices(A) -> k7_filter_0(A,B,C) = k5_filter_0(A,B,C))) # label(redefinition_k7_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8418 (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 (m1_subset_1(D,u1_struct_0(B)) & A = D & r3_lattices(B,C,D)))))) # label(fraenkel_a_2_0_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8419 $T # label(t35_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8420 (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(k4_lattices(A,C,D),B) <-> r2_hidden(C,B) & r2_hidden(D,B))))))))))) # label(d1_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8421 $T # label(t61_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8422 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> -(-v3_struct_0(A) & k5_lattices(A) != B & (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].
119.23/118.87	8423 (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_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].
119.23/118.87	8424 (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))) & -v1_xboole_0(C) & -v1_xboole_0(B) & l3_lattices(A) & v10_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].
119.23/118.87	8425 (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,D,C) & r3_lattices(A,B,C) -> r3_lattices(A,k3_lattices(A,B,D),C)))))))))) # label(t6_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8426 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> k1_realset1(u2_lattices(A),B) = u2_lattices(k8_filter_0(A,B)) & u1_lattices(k8_filter_0(A,B)) = k1_realset1(u1_lattices(A),B) & B = u1_struct_0(k8_filter_0(A,B)))))) # label(t63_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8427 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> k3_filter_0(A,B) = B)))) # label(t26_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8428 (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].
119.23/118.87	8429 (all A all B (v10_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & l3_lattices(A) & -v3_struct_0(A) -> m1_filter_0(k2_filter_0(A,B),A))) # label(dt_k2_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8430 (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(B,D) -> r2_hidden(k3_lattices(A,C,B),D) & r2_hidden(k3_lattices(A,B,C),D)))))))))) # label(t10_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8431 (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)) -> r2_hidden(k3_lattices(A,B,C),k2_filter_0(A,B)) & r2_hidden(k3_lattices(A,C,B),k2_filter_0(A,B)) & r2_hidden(B,k2_filter_0(A,B)))))))) # label(t19_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8432 $T # label(t36_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8433 (all A (v3_filter_0(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) -> 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].
119.23/118.87	8434 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(D) -> -(r2_hidden(B,k5_filter_0(A,C,D)) & (all E (m1_subset_1(E,u1_struct_0(A)) -> (all F (m1_subset_1(F,u1_struct_0(A)) -> -(r2_hidden(E,C) & r2_hidden(F,D) & k4_lattices(A,E,F) = B)))))))))))) # label(t45_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8435 (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)) -> (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].
119.23/118.87	8436 (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) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (k6_domain_1(u1_struct_0(A),B) = C -> k2_filter_0(A,B) = k3_filter_0(A,C)))))))) # label(t30_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8437 (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].
119.23/118.87	8438 (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_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].
119.23/118.87	8439 (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].
119.23/118.87	8440 (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) -> (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)))))) & (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].
119.23/118.87	8441 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (v13_lattices(A) -> (all B (m1_filter_0(B,A) -> -((all C (m1_filter_0(C,A) -> -(r1_tarski(B,C) & v1_filter_0(C,A)))) & B != u1_struct_0(A))))))) # label(t22_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8442 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_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].
119.23/118.87	8443 (all A all B all C (-v3_struct_0(A) & l3_lattices(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & v10_lattices(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].
119.23/118.87	8444 (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,C,D),E) & r2_hidden(k9_filter_0(A,B,C),E) -> r2_hidden(k9_filter_0(A,B,D),E)))))))))))) # label(t78_filter_0) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8445 (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) -> (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].
119.23/118.87	8446 (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) -> -(v6_group_1(C) & (all D (v1_finset_1(D) -> (all E (v1_finset_1(E) -> -(k4_card_1(E) = k9_group_1(C) & k4_card_1(D) = k9_group_1(C) & k13_group_2(A,C,B) = E & k12_group_2(A,C,B) = D)))))))))))) # label(t156_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8447 (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_finset_1(k14_group_2(A,B)) -> (exists C (k17_group_2(A,B) = k4_card_1(C) & k14_group_2(A,B) = C & v1_finset_1(C))) & (exists C (v1_finset_1(C) & C = k15_group_2(A,B) & k4_card_1(C) = k17_group_2(A,B)))))))) # label(t176_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8448 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_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].
119.23/118.87	8449 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_finset_1(B) -> -((all C -((all D (v1_finset_1(D) -> -(k4_card_1(D) = A & (all E (r2_hidden(E,B) -> r1_xboole_0(C,E) & r2_wellord2(C,E) | C = E)) & C = D))) & r2_hidden(C,B))) & (all C (v1_finset_1(C) -> -(k2_nat_1(A,k4_card_1(B)) = k4_card_1(C) & k3_tarski(B) = C)))))))) # label(t186_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8450 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & v4_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) -> (C = B <-> r1_group_2(A,B,C)))) # label(redefinition_r1_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8451 (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) -> 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].
119.23/118.87	8452 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> g1_group_1(u1_struct_0(A),u1_group_1(A)) = k6_group_2(A))) # label(d8_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	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) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k13_group_2(A,B,C) = k4_group_2(A,C,k7_group_2(A,B)))))))) # label(d14_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8454 (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 ((exists F (m1_subset_1(F,u1_struct_0(B)) & r2_hidden(F,C) & r1_rlvect_1(D,E) & k1_group_1(B,E,F) = A)) & m1_subset_1(E,u1_struct_0(B))))))))))) # label(t115_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8455 (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,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> ((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(D,C) <-> (exists E (k12_group_2(A,B,E) = D & m1_subset_1(E,u1_struct_0(A))))))) <-> C = k14_group_2(A,B)))))))) # label(d15_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8456 (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) -> k1_card_1(k12_group_2(A,C,B)) = k8_group_1(C) & k1_card_1(k13_group_2(A,C,B)) = k8_group_1(C))))))) # label(t155_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8457 (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_group_2(B,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].
119.23/118.87	8458 (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) -> -(v4_group_1(A) & l1_group_1(A) & (all D (v1_group_1(D) & m1_group_2(D,A) -> k2_group_2(A,k7_group_2(A,B),k7_group_2(A,C)) != u1_struct_0(D))) & v7_group_1(A) & v3_group_1(A) & -v3_struct_0(A)))))))) # label(t94_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8459 (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_group_1(A) & v4_group_1(A) & v7_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> k4_group_2(A,B,C) = k3_group_2(A,B,C)))))))) # label(t44_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8460 $T # label(t96_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8461 (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_2(A,k8_group_2(A,B,C)) = k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k7_group_2(A,B),k7_group_2(A,C)))))))) # label(t98_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8462 (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) -> r2_hidden(B,k12_group_2(A,C,B)) & r2_hidden(B,k13_group_2(A,C,B)))))))) # label(t130_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8463 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k1_xboole_0 = k4_group_2(A,B,k1_subset_1(u1_struct_0(A))) & k1_xboole_0 = k3_group_2(A,B,k1_subset_1(u1_struct_0(A))))))) # label(t41_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8464 (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_wellord2(k7_group_2(A,C),k12_group_2(A,C,B)) & r2_wellord2(k7_group_2(A,C),k13_group_2(A,C,B)))))))) # label(t154_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8465 (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_rlvect_1(D,B) & r1_rlvect_1(D,C) -> r1_rlvect_1(D,k1_group_1(A,B,C))))))))))) # label(t59_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8466 $T # label(t31_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8467 $T # label(t124_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8468 (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) -> (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].
119.23/118.87	8469 (all A all B (l1_group_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v4_group_1(A) & v3_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].
119.23/118.87	8470 (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) -> 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].
119.23/118.87	8471 (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) -> 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].
119.23/118.87	8472 $T # label(t74_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8473 (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) -> (m1_group_2(C,B) <-> r1_group_2(A,k9_group_2(A,C,B),C)))))))) # label(t107_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8474 (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].
119.23/118.87	8475 (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) -> (v6_group_1(A) -> v1_finset_1(k14_group_2(A,B)) & v1_finset_1(k15_group_2(A,B))))))) # label(t164_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8476 (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)) -> k12_group_2(A,B,C) = k3_group_2(A,C,k7_group_2(A,B)))))))) # label(d13_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8477 (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))) -> k1_group_2(A,B) = a_2_0_group_2(A,B))))) # label(d1_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8478 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (v6_group_1(A) -> k9_group_1(A) = k17_group_2(A,k5_group_2(A))))) # label(t183_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8479 $T # label(t163_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8480 (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) = k13_group_2(A,B,k2_group_1(A)) & k12_group_2(A,B,k2_group_1(A)) = k7_group_2(A,B))))) # label(t132_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8481 (all A all B (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & m1_group_2(B,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].
119.23/118.87	8482 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> 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].
119.23/118.87	8483 (all A all B (-v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_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].
119.23/118.87	8484 (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) -> k11_group_2(A,C,k11_group_2(A,D,B)) = k2_group_2(A,k11_group_2(A,C,k7_group_2(A,D)),B))))))))) # label(t121_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8485 (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_card_1(k14_group_2(A,B)) = k16_group_2(A,B))))) # label(d17_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8486 (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) -> v4_group_1(B))))) # label(cc1_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8487 $T # label(t46_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8488 (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) -> (v3_group_1(A) & v4_group_1(A) & v7_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> v7_group_1(B)))))) # label(t62_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8489 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> k17_group_2(A,k6_group_2(A)) = np__1)) # label(t180_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8490 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> k16_group_2(A,k5_group_2(A)) = k8_group_1(A))) # label(t182_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8491 (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) -> (exists D (v1_group_1(D) & m1_group_2(D,A) & u1_struct_0(D) = k4_group_2(A,k3_group_1(A,B),k12_group_2(A,C,B)))))))))) # label(t150_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8492 (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 (v1_group_1(D) & m1_group_2(D,A) -> (k3_xboole_0(u1_struct_0(B),u1_struct_0(C)) = u1_struct_0(D) -> r1_group_2(A,D,k8_group_2(A,B,C))))) & (all D (m1_group_2(D,A) -> (D = k8_group_2(A,B,C) -> 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].
119.23/118.87	8493 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> m1_group_2(A,k6_group_2(A)))) # label(t79_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8494 (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) -> 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].
119.23/118.87	8495 $T # label(t158_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8496 (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,k8_group_2(A,B,B),B))))) # label(t100_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8497 (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) -> (np__1 = k17_group_2(A,B) & v1_finset_1(k14_group_2(A,B)) -> A = B))))) # label(t181_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8498 (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(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].
119.23/118.87	8499 (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) -> k4_group_1(B) = k8_relset_1(u1_struct_0(A),u1_struct_0(A),k4_group_1(A),u1_struct_0(B)))))) # label(t58_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8500 (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) -> (v3_group_1(A) & l1_group_1(A) & v7_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> k10_group_2(A,C,B) = k11_group_2(A,C,B)))))))) # label(t122_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8501 (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))) -> (v7_group_1(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> k2_group_2(A,B,C) = k2_group_2(A,C,B)))))))) # label(t29_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8502 (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].
119.23/118.87	8503 (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) -> k7_group_2(A,B) = u1_struct_0(B))))) # label(d9_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8504 (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].
119.23/118.87	8505 (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))) -> a_3_0_group_2(A,B,C) = k2_group_2(A,B,C))))))) # label(d2_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8506 (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) -> 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].
119.23/118.87	8507 (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) & v1_group_1(D) -> (k8_group_2(A,B,C) = D <-> u1_struct_0(D) = k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k7_group_2(A,B),k7_group_2(A,C))))))))))) # label(d10_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8508 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,A) -> m1_subset_1(k18_group_2(A,B),k5_finsub_1(A)))) # label(dt_k18_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8509 (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) -> m1_group_2(k5_group_2(A),B))))) # label(t77_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8510 (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) -> ((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].
119.23/118.87	8511 (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) -> r1_tarski(k8_group_1(B),k8_group_1(A)))))) # label(t83_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8512 (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)) -> (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)))))) & (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(C,B) -> r2_hidden(k3_group_1(A,C),B)))) -> k2_group_2(A,B,B) = B))))) # label(t26_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8513 (all A (-v3_struct_0(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k3_group_2(A,k2_group_1(A),B) = B & B = k4_group_2(A,k2_group_1(A),B))))) # label(t43_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8514 (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)) -> u1_struct_0(A) = k3_group_2(A,B,k2_subset_1(u1_struct_0(A))) & k4_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].
119.23/118.87	8515 (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_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].
119.23/118.87	8516 (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) -> u1_struct_0(A) = k5_setfam_1(u1_struct_0(A),k14_group_2(A,B)) & k5_setfam_1(u1_struct_0(A),k15_group_2(A,B)) = u1_struct_0(A))))) # label(t167_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8517 $T # label(t11_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8518 (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 (k1_group_1(B,E,D) = A & r2_hidden(E,C) & m1_subset_1(E,u1_struct_0(B))))))))))) # label(t34_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8519 (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_group_2(D,A) -> k2_group_2(A,B,k11_group_2(A,D,C)) = k2_group_2(A,k10_group_2(A,D,B),C))))))))) # label(t117_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8520 $T # label(t157_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8521 (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))) -> 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].
119.23/118.87	8522 $T # label(t1_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8523 (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].
119.23/118.87	8524 $T # label(t4_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8525 (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,k2_group_2(A,B,C),D) = k2_group_2(A,B,k2_group_2(A,C,D))))))))))) # label(t14_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8526 (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) -> r2_wellord2(k13_group_2(A,D,B),k13_group_2(A,D,C)))))))))) # label(t153_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8527 (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,B))) # label(reflexivity_r1_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8528 (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(B,D) -> m1_group_2(B,k9_group_2(A,C,D))))))))))) # label(t109_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8529 (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) -> (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].
119.23/118.87	8530 (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) -> (np__1 = k9_group_1(B) & v6_group_1(B) -> r1_group_2(A,B,k5_group_2(A))))))) # label(t82_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8531 (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_subset_1(D,u1_struct_0(A)) -> (r1_rlvect_1(B,D) <-> r1_rlvect_1(C,D)))) -> g1_group_1(u1_struct_0(B),u1_group_1(B)) = g1_group_1(u1_struct_0(C),u1_group_1(C))))))))) # label(t69_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8532 (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) -> (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].
119.23/118.87	8533 (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_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].
119.23/118.87	8534 (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].
119.23/118.87	8535 $T # label(t159_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8536 (all A all B all C (-v3_struct_0(B) & v3_group_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & l1_group_1(B) & v4_group_1(B) -> ((exists D (k3_group_1(B,D) = A & r2_hidden(D,C) & m1_subset_1(D,u1_struct_0(B)))) <-> r2_hidden(A,a_2_0_group_2(B,C))))) # label(fraenkel_a_2_0_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8537 (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_rlvect_1(D,k1_group_1(A,C,k3_group_1(A,B))) <-> k13_group_2(A,D,B) = k13_group_2(A,D,C)))))))))) # label(t143_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8538 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_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].
119.23/118.87	8539 (all 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(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].
119.23/118.87	8540 (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)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (r2_hidden(D,B) & r2_hidden(E,C) -> k1_group_1(A,D,E) = k1_group_1(A,E,D)))))) -> k2_group_2(A,C,B) = k2_group_2(A,B,C)))))))) # label(t28_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8541 $T # label(t86_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8542 (all A all B all C (m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & l1_group_1(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].
119.23/118.87	8543 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & v1_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> (k1_tarski(u1_struct_0(A)) = k15_group_2(A,B) -> B = A))))) # label(t174_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8544 (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].
119.23/118.87	8545 $T # label(t131_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8546 (all A (-v3_struct_0(A) & l1_group_1(A) & v3_group_1(A) -> (all B (l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (m1_group_2(B,A) <-> u1_group_1(B) = k1_realset1(u1_group_1(A),u1_struct_0(B)) & r1_tarski(u1_struct_0(B),u1_struct_0(A))))))) # label(d5_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8547 $T # label(t47_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8548 $T # label(t72_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8549 (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].
119.23/118.87	8550 (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) -> (u1_struct_0(B) = k6_domain_1(u1_struct_0(A),k2_group_1(A)) <-> k5_group_2(A) = B))))) # label(d7_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8551 (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_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].
119.23/118.87	8552 (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) -> 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].
119.23/118.87	8553 (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) -> (k12_group_2(A,C,B) = k7_group_2(A,C) <-> r1_rlvect_1(C,B)))))))) # label(t136_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8554 (all A all B all C (l1_group_1(A) & v1_group_1(B) & v1_group_1(C) & m1_group_2(C,A) & m1_group_2(B,A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (r1_group_2(A,B,C) -> r1_group_2(A,C,B)))) # label(symmetry_r1_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8555 (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)) -> r1_rlvect_1(B,C))) -> g1_group_1(u1_struct_0(B),u1_group_1(B)) = g1_group_1(u1_struct_0(A),u1_group_1(A))))))) # label(t71_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8556 (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) -> k16_group_2(A,B) = k1_card_1(k14_group_2(A,B)) & k1_card_1(k15_group_2(A,B)) = k16_group_2(A,B))))) # label(t175_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8557 (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))) -> k2_group_2(A,k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)),B,C),D) = k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k2_group_2(A,B,D),k2_group_2(A,C,D)))))))))) # label(t17_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.87	8558 (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) -> (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].
119.23/118.88	8559 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> v6_group_1(k5_group_2(A)))) # label(t80_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8560 $T # label(t162_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8561 (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)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(C,B) & r2_hidden(D,B) -> r2_hidden(k1_group_1(A,C,D),B)))))) & (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(C,B) -> r2_hidden(k3_group_1(A,C),B)))) & (all C (v1_group_1(C) & m1_group_2(C,A) -> u1_struct_0(C) != B)) & k1_xboole_0 != B))))) # label(t61_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8562 (all A all B all C (-v3_struct_0(A) & 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))) -> 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].
119.23/118.88	8563 (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 (v3_group_1(C) & v4_group_1(C) & l1_group_1(C) & -v3_struct_0(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].
119.23/118.88	8564 (all A (l1_group_1(A) & v3_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].
119.23/118.88	8565 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & v1_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> (k14_group_2(A,B) = k1_tarski(u1_struct_0(A)) -> A = B))))) # label(t173_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8566 (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) -> (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].
119.23/118.88	8567 (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)) -> 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].
119.23/118.88	8568 (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)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> k2_group_2(A,k7_domain_1(u1_struct_0(A),B,C),k7_domain_1(u1_struct_0(A),D,E)) = 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)))))))))))) # label(t25_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8569 $T # label(t95_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8570 (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))) -> -(B = k1_xboole_0 & k1_xboole_0 != k1_group_2(A,B)) & -(B != k1_xboole_0 & k1_xboole_0 = k1_group_2(A,B)))))) # label(t10_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8571 (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)) -> k6_domain_1(u1_struct_0(A),k1_group_1(A,B,C)) = k2_group_2(A,k6_domain_1(u1_struct_0(A),B),k6_domain_1(u1_struct_0(A),C)))))))) # label(t22_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8572 (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) -> k4_group_2(A,C,k12_group_2(A,D,B)) = k3_group_2(A,B,k13_group_2(A,D,C)))))))))) # label(t128_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8573 (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].
119.23/118.88	8574 $T # label(t113_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8575 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> k14_group_2(A,k6_group_2(A)) = k1_tarski(u1_struct_0(A)) & k1_tarski(u1_struct_0(A)) = k15_group_2(A,k6_group_2(A)))) # label(t172_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8576 (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].
119.23/118.88	8577 $T # label(t73_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8578 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v7_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> v7_group_1(B) & v4_group_1(B))))) # label(cc2_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8579 (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].
119.23/118.88	8580 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (m1_group_2(B,A) & m1_group_2(A,B) -> g1_group_1(u1_struct_0(B),u1_group_1(B)) = g1_group_1(u1_struct_0(A),u1_group_1(A))))))) # label(t64_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	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))) -> k2_group_2(A,B,k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)),C,D)) = k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k2_group_2(A,B,C),k2_group_2(A,B,D)))))))))) # label(t16_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8582 (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) -> k7_group_2(A,B) != k1_xboole_0)))) # label(t87_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8583 (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_group_2(D,B) -> (r2_hidden(A,k10_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)) & r2_hidden(E,C) & r1_rlvect_1(D,F) & k1_group_1(B,E,F) = A))))))))))) # label(t114_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8584 (all A all B (v3_group_1(A) & l1_group_1(A) & m1_group_2(B,A) & v4_group_1(A) & -v3_struct_0(A) -> m2_subset_1(k17_group_2(A,B),k1_numbers,k5_numbers))) # label(dt_k17_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8585 (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) -> 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].
119.23/118.88	8586 (all 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))) -> 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].
119.23/118.88	8587 (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) -> r1_rlvect_1(C,k2_group_1(B)))))))) # label(t56_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8588 (all A (-v3_struct_0(A) & l1_group_1(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].
119.23/118.88	8589 (all A all B all C (-v3_struct_0(A) & l1_group_1(A) & m1_group_2(B,A) & m1_subset_1(C,u1_struct_0(A)) & v4_group_1(A) & v3_group_1(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].
119.23/118.88	8590 (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].
119.23/118.88	8591 (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,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].
119.23/118.88	8592 (all A all B (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & m1_group_2(B,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].
119.23/118.88	8593 (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) -> (k14_group_2(A,B) = a_1_0_group_2(A) -> r1_group_2(A,B,k5_group_2(A))))))) # label(t170_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8594 (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_finset_1(k14_group_2(A,B)) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (C = k17_group_2(A,B) <-> (exists D (v1_finset_1(D) & C = k4_card_1(D) & k14_group_2(A,B) = D)))))))))) # label(d18_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8595 (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) -> v1_card_1(k16_group_2(A,B)))) # label(dt_k16_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8596 (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,u1_struct_0(B)) -> (all D (m1_group_2(D,B) -> (r2_hidden(A,k13_group_2(B,D,C)) <-> (exists E (m1_subset_1(E,u1_struct_0(B)) & k1_group_1(B,E,C) = A & r1_rlvect_1(D,E)))))))))) # label(t126_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8597 (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(k10_group_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k10_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8598 (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_group_2(C,A) & v1_group_1(C) -> (r1_group_2(A,B,C) <-> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r1_rlvect_1(B,D) <-> r1_rlvect_1(C,D))))))))))) # label(d6_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8599 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> m1_group_2(k5_group_2(A),A) & v1_group_1(k5_group_2(A)))) # label(dt_k5_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8600 $T # label(t161_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8601 (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) -> (u1_struct_0(B) = u1_struct_0(C) -> g1_group_1(u1_struct_0(B),u1_group_1(B)) = g1_group_1(u1_struct_0(C),u1_group_1(C))))))))) # label(t68_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8602 $T # label(t160_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8603 (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].
119.23/118.88	8604 (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_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))) -> (r2_hidden(D,C) <-> (exists E (D = k13_group_2(A,B,E) & m1_subset_1(E,u1_struct_0(A))))))) <-> C = k15_group_2(A,B)))))))) # label(d16_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8605 (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) -> 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].
119.23/118.88	8606 (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)) -> k6_domain_1(u1_struct_0(A),B) = 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))))) # label(t133_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8607 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & m1_group_2(B,A) & m1_group_2(C,A) & v4_group_1(A) -> k9_group_2(A,C,B) = k9_group_2(A,B,C))) # label(commutativity_k9_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8608 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(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].
119.23/118.88	8609 (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,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].
119.23/118.88	8610 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> a_1_0_group_2(A) = k14_group_2(A,k5_group_2(A)))) # label(t168_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8611 (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].
119.23/118.88	8612 (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) -> 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].
119.23/118.88	8613 (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,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].
119.23/118.88	8614 (all A (v3_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B))))) # label(dt_m1_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8615 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (exists B (v3_group_1(B) & v4_group_1(B) & v2_group_1(B) & v1_group_1(B) & -v3_struct_0(B) & m1_group_2(B,A))))) # label(rc1_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8616 $T # label(t2_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8617 (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)) -> u1_struct_0(A) = k13_group_2(A,k6_group_2(A),B) & u1_struct_0(A) = k12_group_2(A,k6_group_2(A),B))))) # label(t134_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8618 (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,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].
119.23/118.88	8619 (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) -> k5_group_2(B) = k5_group_2(A))))) # label(t75_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8620 (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) -> (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].
119.23/118.88	8621 (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) -> (v6_group_1(B) | v6_group_1(C) -> v6_group_1(k9_group_2(A,B,C))))))))) # label(t111_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8622 (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) -> (-v3_struct_0(A) & l1_group_1(A) & v7_group_1(A) & v4_group_1(A) & v3_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].
119.23/118.88	8623 (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) -> k10_group_2(A,D,k11_group_2(A,C,B)) = k11_group_2(A,C,k10_group_2(A,D,B)))))))))) # label(t120_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8624 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> u1_struct_0(A) = k1_group_2(A,k2_subset_1(u1_struct_0(A))))) # label(t9_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8625 (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_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].
119.23/118.88	8626 (all A (-v3_struct_0(A) & v1_group_1(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(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].
119.23/118.88	8627 (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 (k3_group_1(B,D) = A & r2_hidden(D,C) & 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].
119.23/118.88	8628 (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) -> k2_group_1(C) = k2_group_1(B))))))) # label(t54_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8629 (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,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].
119.23/118.88	8630 $T # label(t32_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8631 (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,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].
119.23/118.88	8632 (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) -> (-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].
119.23/118.88	8633 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(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].
119.23/118.88	8634 (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_2(A,k7_group_2(A,B),k7_group_2(A,B)) = k7_group_2(A,B))))) # label(t91_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8635 (all A all B (m1_subset_1(B,A) & -v1_xboole_0(A) -> k18_group_2(A,B) = k1_tarski(B))) # label(redefinition_k18_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8636 (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_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].
119.23/118.88	8637 (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].
119.23/118.88	8638 (all A all B (l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (r2_hidden(A,a_1_0_group_2(B)) <-> (exists C (m1_subset_1(C,u1_struct_0(B)) & k6_domain_1(u1_struct_0(B),C) = A))))) # label(fraenkel_a_1_0_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8639 (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) -> k2_group_2(A,k3_group_2(A,D,B),C) = k3_group_2(A,D,k2_group_2(A,B,C))))))))))) # label(t35_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8640 (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,k11_group_2(A,C,k7_group_2(A,D))))))))))) # label(t119_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8641 (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) = k1_group_2(A,k7_group_2(A,B)))))) # label(t92_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8642 (all A (v1_group_1(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> k9_group_2(A,k6_group_2(A),k6_group_2(A)) = A)) # label(t105_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8643 (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,C) -> (D = B & v6_group_1(A) -> 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].
119.23/118.88	8644 (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].
119.23/118.88	8645 (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].
119.23/118.88	8646 (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,C,k3_group_2(A,D,B)) = k3_group_2(A,k1_group_1(A,C,D),B)))))))))) # label(t38_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8647 (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) -> r2_wellord2(k14_group_2(A,B),k15_group_2(A,B)))))) # label(t166_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8648 (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(A) = u1_struct_0(B) -> B = A))))) # label(t70_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8649 (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) -> (k12_group_2(A,D,C) = k12_group_2(A,D,B) <-> r1_rlvect_1(D,k1_group_1(A,k3_group_1(A,C),B))))))))))) # label(t137_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8650 (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(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].
119.23/118.88	8651 $T # label(t112_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8652 (all A all B (-v3_struct_0(B) & l1_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 = k1_group_1(B,E,F) & r2_hidden(E,C) & r2_hidden(F,D))) & 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].
119.23/118.88	8653 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> k9_group_1(k5_group_2(A)) = np__1)) # label(t81_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8654 (all A all B all C (-v3_struct_0(A) & v4_group_1(A) & m1_group_2(C,A) & m1_group_2(B,A) & l1_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].
119.23/118.88	8655 (all A all B all C all D (-v3_struct_0(B) & l1_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))) -> (r2_hidden(A,a_3_0_group_2(B,C,D)) <-> (exists E exists F (r2_hidden(F,D) & 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(fraenkel_a_3_0_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8656 (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) -> (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].
119.23/118.88	8657 (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,k1_zfmisc_1(u1_struct_0(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].
119.23/118.88	8658 (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 (k2_group_2(A,k7_group_2(A,B),k7_group_2(A,C)) = u1_struct_0(D) & 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))) & -(k2_group_2(A,k7_group_2(A,C),k7_group_2(A,B)) = k2_group_2(A,k7_group_2(A,B),k7_group_2(A,C)) & (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))))))))))) # label(t93_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8659 $T # label(t45_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8660 (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_xboole_0(k13_group_2(A,D,B),k13_group_2(A,D,C)) <-> k13_group_2(A,D,B) = k13_group_2(A,D,C)))))))))) # label(t144_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8661 (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_group_2(B,A) & v1_group_1(B) -> (k9_group_1(A) = k9_group_1(B) & v6_group_1(A) -> A = B))))) # label(t85_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8662 (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,u1_struct_0(A)) -> (r2_hidden(C,B) -> r2_hidden(k3_group_1(A,C),B)))) -> B = k1_group_2(A,B)))))) # label(t27_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8663 (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,k3_group_2(B,D,C)) <-> (exists E (k1_group_1(B,D,E) = A & r2_hidden(E,C) & m1_subset_1(E,u1_struct_0(B))))))))))) # label(t33_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8664 (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) -> 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].
119.23/118.88	8665 (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_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].
119.23/118.88	8666 (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) -> 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].
119.23/118.88	8667 (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))) -> (k1_xboole_0 != B -> u1_struct_0(A) = k2_group_2(A,B,k2_subset_1(u1_struct_0(A))) & u1_struct_0(A) = k2_group_2(A,k2_subset_1(u1_struct_0(A)),B)))))) # label(t21_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	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)) -> (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].
119.23/118.88	8669 (all A all B (-v3_struct_0(B) & l1_group_1(B) & v3_group_1(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].
119.23/118.88	8670 (all A (v4_group_1(A) & l1_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].
119.23/118.88	8671 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & m1_group_2(B,A) & m1_group_2(C,A) & v4_group_1(A) -> k8_group_2(A,B,C) = k9_group_2(A,B,C))) # label(redefinition_k9_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8672 (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].
119.23/118.88	8673 (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) -> k2_group_1(A) = k2_group_1(B))))) # label(t53_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8674 (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].
119.23/118.88	8675 (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_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].
119.23/118.88	8676 (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) -> (v6_group_1(A) -> k2_nat_1(k9_group_1(B),k17_group_2(A,B)) = k9_group_1(A)))))) # label(t177_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8677 (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))) -> (k2_group_2(A,B,C) != k1_xboole_0 <-> B != k1_xboole_0 & k1_xboole_0 != C))))))) # label(t13_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8678 (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_wellord2(k12_group_2(A,D,B),k13_group_2(A,D,C)))))))))) # label(t152_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8679 $T # label(t123_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8680 (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) -> r1_nat_1(k9_group_1(B),k9_group_1(A))))))) # label(t178_group_2) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8681 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_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) & v6_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_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) -> k1_rlvect_1(A) = C | r1_rlvect_1(E,D)))))))))))) # label(t66_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8682 $T # label(t98_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8683 (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_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) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (v5_rlvect_1(C) & l4_vectsp_1(C,A) & v12_vectsp_1(C,A) & v11_vectsp_1(C,A) & v6_rlvect_1(C) & v4_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].
119.23/118.88	8684 (all A all B all C (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & -v3_struct_0(B) & v4_rlvect_1(B) & v12_vectsp_1(B,A) & m1_vectsp_4(C,A,B) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(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].
119.23/118.88	8685 $T # label(t14_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8686 (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))) -> ((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)))))) & (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)))))) <-> v1_vectsp_4(C,A,B)))))))) # label(d1_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8687 (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 (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) & -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].
119.23/118.88	8688 (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) & 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_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].
119.23/118.88	8689 (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) & 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,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].
119.23/118.88	8690 $T # label(t43_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8691 (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) & 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) -> (k1_rlvect_1(C) = A <-> r1_rlvect_1(k1_vectsp_4(B,C),A)))))) # label(t46_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8692 (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 (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) -> (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,E) & r2_hidden(C,F) -> E = F))))))))))))) # label(t97_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8693 (all A all B (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & 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) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_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].
119.23/118.88	8694 (all A (-v3_struct_0(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) -> (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) -> (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].
119.23/118.88	8695 (all A (v3_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) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all 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) & -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) <-> r2_hidden(k1_rlvect_1(B),k3_vectsp_4(A,B,C,D))))))))))) # label(t58_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8696 $T # label(t100_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8697 (all A (v3_rlvect_1(A) & v4_group_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_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_subset_1(C,u1_struct_0(B)) -> (all D (m1_vectsp_4(D,A,B) & v11_vectsp_1(D,A) -> (all E (v11_vectsp_1(E,A) & m1_vectsp_4(E,A,B) -> (k3_vectsp_4(A,B,C,D) = k3_vectsp_4(A,B,C,E) <-> D = E))))))))))) # label(t82_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8698 (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_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_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].
119.23/118.88	8699 (all A all B (v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & -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) & 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 C (v4_rlvect_1(C) & v5_rlvect_1(C) & v12_vectsp_1(C,A) & v11_vectsp_1(C,A) & v6_rlvect_1(C) & v3_rlvect_1(C) & -v3_struct_0(C) & m1_vectsp_4(C,A,B))))) # label(rc1_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8700 (all A (-v3_struct_0(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) & v3_rlvect_1(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,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) & (all F (m1_subset_1(F,u1_struct_0(B)) -> -(k4_rlvect_1(B,C,F) = D & r1_rlvect_1(E,F))))))))))))))) # label(t80_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8701 (all A all B all C all D all E (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v4_group_1(B) & -v3_struct_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & m1_subset_1(D,u1_struct_0(C)) & m1_vectsp_4(E,B,C) & l4_vectsp_1(C,B) & v12_vectsp_1(C,B) & v6_rlvect_1(C) & v5_rlvect_1(C) & l3_vectsp_1(B) & v8_vectsp_1(B) & v7_vectsp_1(B) & -v3_struct_0(B) -> ((exists F (m1_subset_1(F,u1_struct_0(C)) & r1_rlvect_1(E,F) & A = k4_rlvect_1(C,D,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].
119.23/118.88	8702 (all A (v3_rlvect_1(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_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,k1_zfmisc_1(u1_struct_0(B))) -> -(C != k1_xboole_0 & (all D (v11_vectsp_1(D,A) & m1_vectsp_4(D,A,B) -> C != u1_struct_0(D))) & v1_vectsp_4(C,A,B)))))))) # label(t42_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.23/118.88	8703 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all 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) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_vectsp_4(D,A,B) -> (exists E (m2_vectsp_4(E,A,B,D) & r2_hidden(C,E))))))))))) # label(t84_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.23/118.89	8704 $T # label(t77_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.23/118.89	8705 $T # label(t99_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.23/118.89	8706 $T # label(t56_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.23/118.89	8707 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_group_1(A) & v7_vectsp_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all 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) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_vectsp_4(D,A,B) -> (u1_struct_0(D) = k3_vectsp_4(A,B,k5_rlvect_1(B,C),D) <-> r1_rlvect_1(D,C)))))))))) # label(t67_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.23/118.89	8708 $T # label(t11_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.23/118.89	8709 (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) & 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(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].
119.23/118.89	8710 (all A (-v3_struct_0(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_rlvect_1(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) & v11_vectsp_1(C,A) -> (all D (v11_vectsp_1(D,A) & m1_vectsp_4(D,A,B) -> (u1_struct_0(D) = u1_struct_0(C) -> D = C))))))))) # label(t37_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.23/118.89	8711 (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) & 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 (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].
119.23/118.89	8712 $T # label(t102_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.23/118.89	8713 (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) & l3_vectsp_1(A) & v4_group_1(A) & v3_rlvect_1(A) -> (all B (v5_rlvect_1(B) & v11_vectsp_1(B,A) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v4_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].
119.23/118.89	8714 (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 (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) -> m2_vectsp_4(u1_struct_0(C),A,B,C))))))) # label(t89_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.23/118.89	8715 (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) & 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) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> k1_vectsp_4(A,C) = k1_vectsp_4(A,D))))))))) # label(t48_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.23/118.89	8716 (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) & 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 (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].
119.23/118.89	8717 (all A (-v3_struct_0(A) & v3_rlvect_1(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) -> (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) -> (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].
119.23/118.89	8718 (all 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) & v3_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) & v5_rlvect_1(C) & v6_rlvect_1(C) & v12_vectsp_1(C,A) & l4_vectsp_1(C,A) -> (all D (-v3_struct_0(D) & v3_rlvect_1(D) & v4_rlvect_1(D) & v6_rlvect_1(D) & v12_vectsp_1(D,A) & l4_vectsp_1(D,A) & v5_rlvect_1(D) -> (m1_vectsp_4(B,A,C) & m1_vectsp_4(C,A,D) -> m1_vectsp_4(B,A,D)))))))))) # label(t34_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.23/118.89	8719 (all A (v3_rlvect_1(A) & v4_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) & -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) -> m1_vectsp_4(k1_vectsp_4(A,C),A,B))))))) # label(t49_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.23/118.89	8720 (all A all B (-v3_struct_0(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & -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) & l3_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> m1_vectsp_4(k2_vectsp_4(A,B),A,B) & v11_vectsp_1(k2_vectsp_4(A,B),A))) # label(dt_k2_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.23/118.89	8721 (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) & 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,k1_zfmisc_1(u1_struct_0(B))) -> (v1_vectsp_4(C,A,B) -> r2_hidden(k1_rlvect_1(B),C) | C = k1_xboole_0))))))) # label(t4_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.23/118.89	8722 $T # label(t3_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.23/118.89	8723 (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 (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) -> (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,k6_rlvect_1(B,C,D)) <-> (exists F (r2_hidden(C,F) & r2_hidden(D,F) & m2_vectsp_4(F,A,B,E)))))))))))))) # label(t96_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.23/118.89	8724 (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) & v4_rlvect_1(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) -> (k3_vectsp_4(A,B,D,E) = k3_vectsp_4(A,B,k6_rlvect_1(B,D,C),E) <-> r1_rlvect_1(E,C)))))))))))) # label(t69_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.23/118.89	8725 (all A all B all C all D (-v3_struct_0(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & v3_rlvect_1(B) & v5_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & m1_subset_1(C,u1_struct_0(B)) & m1_vectsp_4(D,A,B) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & l3_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(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].
119.23/118.89	8726 $T # label(t55_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.23/118.89	8727 (all 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_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,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].
119.23/118.89	8728 (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 (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) -> (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,k6_rlvect_1(B,C,D)) <-> (exists F (m1_subset_1(F,u1_struct_0(B)) & r2_hidden(D,k3_vectsp_4(A,B,F,E)) & r2_hidden(C,k3_vectsp_4(A,B,F,E))))))))))))))) # label(t79_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.23/118.89	8729 (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 (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_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].
119.23/118.89	8730 (all A (v4_group_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 (-v3_struct_0(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) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_vectsp_4(D,A,B) -> (u1_struct_0(D) = k3_vectsp_4(A,B,C,D) <-> r1_rlvect_1(D,C)))))))))) # label(t64_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.23/118.89	8731 $T # label(t2_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.23/118.89	8732 $T # label(t44_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.23/118.89	8733 (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_rlvect_1(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 (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 (m1_subset_1(E,u1_struct_0(B)) -> (r1_rlvect_1(C,E) <-> r1_rlvect_1(D,E)))) -> C = D))))))))) # label(t38_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8734 (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 (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_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].
119.28/118.89	8735 (all 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_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_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,k6_rlvect_1(B,C,D))))))))))))) # label(t31_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8736 (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 (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_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (u1_struct_0(C) = D -> v1_vectsp_4(D,A,B)))))))))) # label(t41_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8737 (all 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_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) -> (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].
119.28/118.89	8738 (all A all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v4_group_1(B) & l3_vectsp_1(B) & v8_vectsp_1(B) & v7_vectsp_1(B) & v4_rlvect_1(B) -> (all C (-v3_struct_0(C) & v3_rlvect_1(C) & v12_vectsp_1(C,B) & l4_vectsp_1(C,B) & v6_rlvect_1(C) & v5_rlvect_1(C) & v4_rlvect_1(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (all E (m1_vectsp_4(E,B,C) -> ((exists F (k4_rlvect_1(C,D,F) = A & r1_rlvect_1(E,F) & m1_subset_1(F,u1_struct_0(C)))) <-> r2_hidden(A,k3_vectsp_4(B,C,D,E))))))))))) # label(t57_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8739 (all A (-v3_struct_0(A) & v6_rlvect_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) & 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) & 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_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) | C = k2_group_1(A)))))))))))) # label(t72_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8740 (all A all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v4_group_1(B) & v7_vectsp_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (v3_rlvect_1(C) & v12_vectsp_1(C,B) & l4_vectsp_1(C,B) & v6_rlvect_1(C) & v5_rlvect_1(C) & v4_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].
119.28/118.89	8741 (all A (-v3_struct_0(A) & v3_rlvect_1(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) -> (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) -> -(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 = k6_rlvect_1(B,C,F) & r1_rlvect_1(E,F))))))))))))))) # label(t81_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8742 (all A (-v3_struct_0(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) -> (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_vectsp_4(D,A,B) -> r1_rlvect_1(D,k1_rlvect_1(C)))))))))) # label(t26_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8743 (all A all B all C all D all E (v3_rlvect_1(B) & v5_rlvect_1(B) & v4_group_1(B) & v7_vectsp_1(B) & -v3_struct_0(C) & v6_rlvect_1(C) & v12_vectsp_1(C,B) & l4_vectsp_1(C,B) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) & v5_rlvect_1(C) & v4_rlvect_1(C) & v3_rlvect_1(C) & l3_vectsp_1(B) & v8_vectsp_1(B) & v6_rlvect_1(B) & v4_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(G,E) & r2_hidden(F,D) & 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].
119.28/118.89	8744 $T # label(t52_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8745 (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 (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) -> (k3_vectsp_4(A,B,k4_rlvect_1(B,D,C),E) = k3_vectsp_4(A,B,D,E) <-> r1_rlvect_1(E,C)))))))))))) # label(t68_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8746 (all A (v4_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) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all 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) & -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].
119.28/118.89	8747 (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) & 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) & v11_vectsp_1(C,A) -> (C = k1_vectsp_4(A,B) <-> u1_struct_0(C) = k6_domain_1(u1_struct_0(B),k1_rlvect_1(B))))))))) # label(d3_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8748 (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 (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) -> m1_vectsp_4(k1_vectsp_4(A,B),A,C))))))) # label(t50_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8749 (all 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_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_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 (r1_rlvect_1(E,F) & C = k6_rlvect_1(B,D,F) & m1_subset_1(F,u1_struct_0(B))))))))))))))) # label(t78_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8750 (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) & v4_group_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,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].
119.28/118.89	8751 (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) & 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 (-v3_struct_0(C) & v3_rlvect_1(C) & l4_vectsp_1(C,A) & v12_vectsp_1(C,A) & v6_rlvect_1(C) & v5_rlvect_1(C) & v4_rlvect_1(C) -> (u2_struct_0(C) = u2_struct_0(B) & u2_vectsp_1(A,C) = k7_relat_1(u2_vectsp_1(A,B),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C))) & k1_realset1(u1_rlvect_1(B),u1_struct_0(C)) = u1_rlvect_1(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].
119.28/118.89	8752 (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) & v5_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) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & 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))) -> (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].
119.28/118.89	8753 (all 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) & -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) -> u1_struct_0(C) = k3_vectsp_4(A,B,k1_rlvect_1(B),C))))))) # label(t60_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8754 (all A (v3_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) & 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) & v12_vectsp_1(B,A) & l4_vectsp_1(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_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].
119.28/118.89	8755 (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_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(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_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) <-> E = k3_vectsp_4(A,B,C,D)))))))))))) # label(t93_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8756 $T # label(t54_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8757 (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) -> (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) -> k1_vectsp_4(A,B) = k1_vectsp_4(A,C))))))) # label(t47_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8758 (all A all B (-v3_struct_0(A) & v4_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & 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) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_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].
119.28/118.89	8759 (all 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) & -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(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].
119.28/118.89	8760 (all A (v4_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & 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 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 (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].
119.28/118.89	8761 (all A (v3_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) & v4_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) -> g4_vectsp_1(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u2_vectsp_1(A,B)) = k2_vectsp_4(A,B))))) # label(d4_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8762 (all A (-v3_struct_0(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) -> (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) -> m1_vectsp_4(B,A,B))))) # label(t32_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8763 (all A (v3_rlvect_1(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_struct_0(A) -> (all 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) & -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) & v11_vectsp_1(E,A) -> (all F (v11_vectsp_1(F,A) & m1_vectsp_4(F,A,B) -> (k3_vectsp_4(A,B,C,E) = k3_vectsp_4(A,B,D,F) -> F = E))))))))))))) # label(t83_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8764 (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_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,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].
119.28/118.89	8765 (all A all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v4_group_1(B) & l3_vectsp_1(B) & v8_vectsp_1(B) & v7_vectsp_1(B) & v4_rlvect_1(B) -> (all C (-v3_struct_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & l4_vectsp_1(C,B) & v12_vectsp_1(C,B) -> (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].
119.28/118.89	8766 (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_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) & -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) -> u1_struct_0(E) = k3_vectsp_4(A,B,k6_vectsp_1(A,B,C,D),E)))))))))))) # label(t65_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8767 (all A (v4_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_group_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_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(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> k6_rlvect_1(B,k6_vectsp_1(A,B,C,E),k6_vectsp_1(A,B,D,E)) = k6_vectsp_1(A,B,k6_rlvect_1(A,C,D),E))))))))))) # label(t103_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8768 (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_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 (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)) -> (D = F -> k6_vectsp_1(A,E,C,F) = k6_vectsp_1(A,B,C,D)))))))))))))) # label(t22_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8769 $T # label(t13_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8770 $T # label(t15_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8771 (all A (v3_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) & 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_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(D,C) & r2_hidden(E,C) -> r2_hidden(k6_rlvect_1(B,D,E),C))))))))))))) # label(t6_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	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_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_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].
119.28/118.89	8773 $T # label(t1_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8774 (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) & v4_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) & v3_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) & v11_vectsp_1(C,A) -> ((all D (m1_subset_1(D,u1_struct_0(B)) -> r1_rlvect_1(C,D))) -> B = C))))))) # label(t40_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8775 (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) -> r1_rlvect_1(C,k1_rlvect_1(B)))))))) # label(t25_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8776 (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_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) -> k1_rlvect_1(C) = k1_rlvect_1(D))))))))) # label(t20_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8777 (all A all B all C (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & l4_vectsp_1(B,A) & m1_vectsp_4(C,A,B) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & l3_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (exists D m2_vectsp_4(D,A,B,C)))) # label(existence_m2_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8778 (all 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) & -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) -> (all E (m1_subset_1(E,u1_struct_0(D)) -> (E = C -> k5_rlvect_1(D,E) = k5_rlvect_1(B,C)))))))))))) # label(t23_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8779 (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_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) -> (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 = k4_rlvect_1(B,C,G)))) & r2_hidden(D,F)))))))))))))) # label(t94_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8780 (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_rlvect_1(A) & v5_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_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_vectsp_4(C,A,B,k1_vectsp_4(A,B))))))))) # label(t88_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8781 $T # label(t101_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8782 (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 (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) & -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].
119.28/118.89	8783 (all A all B (v3_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & 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) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all C (m1_vectsp_4(C,A,B) -> v3_rlvect_1(C) & v12_vectsp_1(C,A) & l4_vectsp_1(C,A) & v6_rlvect_1(C) & v5_rlvect_1(C) & v4_rlvect_1(C) & -v3_struct_0(C))))) # label(dt_m1_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8784 (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) & 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) -> 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].
119.28/118.89	8785 (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) & 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_vectsp_4(C,A,B) -> k1_rlvect_1(C) = k1_rlvect_1(B))))))) # label(t19_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8786 (all A (-v3_struct_0(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_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) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (m2_vectsp_4(C,A,B,k2_vectsp_4(A,B)) -> u1_struct_0(B) = C))))))) # label(t91_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8787 (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_struct_0(B) & v5_rlvect_1(B) & v11_vectsp_1(B,A) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (v11_vectsp_1(C,A) & m1_vectsp_4(C,A,B) -> (u1_struct_0(B) = u1_struct_0(C) -> B = C))))))) # label(t39_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8788 (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) & v8_vectsp_1(A) & l3_vectsp_1(A) & v5_rlvect_1(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_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)) -> (C = F & G = D -> k4_rlvect_1(E,F,G) = k4_rlvect_1(B,C,D)))))))))))))))) # label(t21_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8789 (all 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) & -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)) -> 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].
119.28/118.89	8790 (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) & v4_group_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all 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) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (m2_vectsp_4(D,A,B,C) <-> (exists E (m1_subset_1(E,u1_struct_0(B)) & D = k3_vectsp_4(A,B,E,C)))))))))))) # label(d6_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8791 (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) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_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)) -> 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].
119.28/118.89	8792 $T # label(t45_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8793 (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_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)) -> k3_vectsp_4(A,B,C,k1_vectsp_4(A,B)) = k6_domain_1(u1_struct_0(B),C))))))) # label(t61_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8794 (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_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(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)) -> (G = D & F = C -> k6_rlvect_1(E,F,G) = k6_rlvect_1(B,C,D)))))))))))))))) # label(t24_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8795 $T # label(t12_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8796 (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_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,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].
119.28/118.89	8797 (all 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) & 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) -> m1_vectsp_4(k1_vectsp_4(A,C),A,D))))))))) # label(t51_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8798 (all A (-v3_struct_0(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) -> (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,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) <-> r2_hidden(k4_rlvect_1(B,C,D),k3_vectsp_4(A,B,D,E))))))))))))) # label(t75_vectsp_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8799 (all 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) & -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_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].
119.28/118.89	8800 $T # label(t2_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.89	8801 (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) & 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(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].
119.28/118.90	8802 (all 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_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 (v11_vectsp_1(C,A) & m1_vectsp_4(C,A,B) -> 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].
119.28/118.90	8803 (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) & l3_vectsp_1(A) & v4_group_1(A) & v3_rlvect_1(A) -> (all 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) & -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) -> 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].
119.28/118.90	8804 (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_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_4(D,A,B) -> ((all E (m2_vectsp_4(E,A,B,C) -> (all F (m2_vectsp_4(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_vectsp_5(A,B,C,D)))))))))) # label(t56_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8805 (all A (-v3_struct_0(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) & 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) & 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_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,D,C)) = k3_domain_1(u1_struct_0(B),u1_struct_0(B),k4_vectsp_5(A,B,E,C,D)))))))))))) # label(t70_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8806 (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 (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 (v11_vectsp_1(D,A) & m1_vectsp_4(D,A,B) -> (m1_vectsp_4(C,A,D) <-> k1_vectsp_5(A,B,C,D) = D))))))))) # label(t12_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8807 (all A all B all C (v3_rlvect_1(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) & v4_rlvect_1(B) & m1_vectsp_4(C,A,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) & v9_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & -v3_struct_0(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].
119.28/118.90	8808 $T # label(t60_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8809 (all A all B all C (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & m1_vectsp_4(C,A,B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) -> (exists D m1_vectsp_5(D,A,B,C)))) # label(existence_m1_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8810 (all 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_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) & 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)) -> (exists F (m1_subset_1(F,u1_struct_0(B)) & (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)))))))) <-> B = k1_vectsp_5(A,B,C,D)))))))))) # label(t57_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8811 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_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) & v7_group_1(A) & v4_rlvect_1(A) & v3_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) -> (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].
119.28/118.90	8812 $T # label(t26_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8813 (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) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & -v3_struct_0(B) -> k1_vectsp_5(A,B,k2_vectsp_4(A,B),k1_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)) & 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].
119.28/118.90	8814 (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 (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 (k3_vectsp_5(A,B) = C <-> (all D ((exists E (m1_vectsp_4(E,A,B) & E = D & v11_vectsp_1(E,A))) <-> r2_hidden(D,C))))))))) # label(d3_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8815 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_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) -> (all B (-v3_struct_0(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) & v3_rlvect_1(B) -> r2_hidden(B,k3_vectsp_5(A,B)))))) # label(t44_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8816 (all A (-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) & v4_group_1(A) & v3_rlvect_1(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 (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) -> ((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) -> (F = D & G = E -> 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)))))))))) <-> C = k5_vectsp_5(A,B)))))))) # label(d7_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8817 (all A (-v3_struct_0(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) -> (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) -> (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].
119.28/118.90	8818 (all 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_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) -> (all D (m1_vectsp_4(D,A,B) -> -((m1_vectsp_4(D,A,C) | m1_vectsp_4(C,A,D)) & (all E (m1_vectsp_4(E,A,B) -> k2_xboole_0(u1_struct_0(C),u1_struct_0(D)) != u1_struct_0(E)))) & -((exists E (m1_vectsp_4(E,A,B) & u1_struct_0(E) = k2_xboole_0(u1_struct_0(C),u1_struct_0(D)))) & -m1_vectsp_4(D,A,C) & -m1_vectsp_4(C,A,D)))))))))) # label(t41_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8819 (all A (v3_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) & 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) & 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)) -> 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))) = E)))))))))) # label(t67_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8820 (all 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) & -v3_struct_0(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) -> (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].
119.28/118.90	8821 (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_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) -> 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].
119.28/118.90	8822 (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) & v7_vectsp_1(B) & v3_rlvect_1(C) & v6_rlvect_1(C) & v12_vectsp_1(C,B) & l4_vectsp_1(C,B) & m1_vectsp_4(D,B,C) & m1_vectsp_4(E,B,C) & v5_rlvect_1(C) & v4_rlvect_1(C) & -v3_struct_0(C) & l3_vectsp_1(B) & v8_vectsp_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) -> ((exists F exists G (m1_subset_1(F,u1_struct_0(C)) & m1_subset_1(G,u1_struct_0(C)) & k4_rlvect_1(C,F,G) = A & r1_rlvect_1(E,G) & r1_rlvect_1(D,F))) <-> 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].
119.28/118.90	8823 (all 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_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_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))) -> (F = k4_vectsp_5(A,B,C,D,E) <-> 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)))))))))))))))) # label(d6_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8824 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_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) & v4_group_1(A) & v4_rlvect_1(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) -> v10_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))) & l3_lattices(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))) & -v3_struct_0(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].
119.28/118.90	8825 (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) & 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) -> (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].
119.28/118.90	8826 $T # label(t1_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8827 (all A (-v3_struct_0(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) -> (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) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_vectsp_4(E,A,B) -> (m1_vectsp_4(C,A,D) -> k1_vectsp_5(A,B,D,k2_vectsp_5(A,B,C,E)) = k2_vectsp_5(A,B,k1_vectsp_5(A,B,C,D),k1_vectsp_5(A,B,D,E))))))))))))) # label(t35_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8828 (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 (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) & -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,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].
119.28/118.90	8829 (all A (v3_rlvect_1(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_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) -> (all D (v11_vectsp_1(D,A) & m1_vectsp_4(D,A,B) -> k1_vectsp_5(A,B,k2_vectsp_5(A,B,C,D),D) = D)))))))) # label(t30_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8830 $T # label(dt_k3_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8831 (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 (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 (m1_vectsp_4(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_vectsp_5(A,B,C,D),E)))))))))))) # label(t6_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8832 (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 (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 (v11_vectsp_1(C,A) & m1_vectsp_4(C,A,B) -> k1_vectsp_5(A,B,C,C) = C)))))) # label(t8_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8833 (all A (-v3_struct_0(A) & v3_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) & v7_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_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,D,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))))))))) # label(t49_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8834 $T # label(t74_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8835 (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) & v4_group_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all 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) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> k1_vectsp_5(A,B,C,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)) & 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),C))))))) # label(t15_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8836 $T # label(t46_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8837 (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_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) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v3_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].
119.28/118.90	8838 $T # label(t61_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8839 (all 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) & -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_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].
119.28/118.90	8840 (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) & 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) -> m1_vectsp_4(k2_vectsp_5(A,B,C,D),A,D) & m1_vectsp_4(k2_vectsp_5(A,B,C,D),A,C))))))))) # label(t20_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8841 (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_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_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].
119.28/118.90	8842 $T # label(t4_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8843 (all A all B all C all D (-v3_struct_0(A) & v5_rlvect_1(A) & l3_vectsp_1(A) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & m1_vectsp_4(D,A,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) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> k2_vectsp_5(A,B,C,D) = k2_vectsp_5(A,B,D,C))) # label(commutativity_k2_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8844 (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) & v4_rlvect_1(A) & v3_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_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].
119.28/118.90	8845 $T # label(t72_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8846 (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_group_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v7_vectsp_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) -> m1_vectsp_5(k1_vectsp_4(A,B),A,B,k2_vectsp_4(A,B)) & m1_vectsp_5(k2_vectsp_4(A,B),A,B,k1_vectsp_4(A,B)))))) # label(t54_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8847 (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) & v8_vectsp_1(A) & l3_vectsp_1(A) & v5_rlvect_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) -> 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].
119.28/118.90	8848 $T # label(t71_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8849 (all A (-v3_struct_0(A) & v3_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) & v4_rlvect_1(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_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) & v11_vectsp_1(D,A) -> (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].
119.28/118.90	8850 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_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) -> (all B (-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) & l4_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) & v11_vectsp_1(E,A) -> (m1_vectsp_4(E,A,C) -> k2_vectsp_5(A,B,k1_vectsp_5(A,B,E,D),C) = k1_vectsp_5(A,B,E,k2_vectsp_5(A,B,D,C))))))))))))) # label(t36_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8851 (all A all B all C all D all E (v3_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v3_rlvect_1(B) & v4_rlvect_1(B) & m1_vectsp_4(D,A,B) & m1_vectsp_4(E,A,B) & m1_subset_1(C,u1_struct_0(B)) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> 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].
119.28/118.90	8852 (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) & -v10_vectsp_1(A) & l3_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) & 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_5(D,A,B,C) -> r1_vectsp_5(A,B,D,C) & r1_vectsp_5(A,B,C,D))))))))) # label(t48_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8853 $T # label(t62_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8854 (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_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) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E ((exists F (m1_subset_1(F,u1_struct_0(B)) & (exists G (m1_subset_1(G,u1_struct_0(B)) & k4_rlvect_1(B,F,G) = E & r1_rlvect_1(D,G) & r1_rlvect_1(C,F))))) <-> r1_rlvect_1(k1_vectsp_5(A,B,C,D),E))))))))))) # label(t5_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8855 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_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) & 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) -> (k1_vectsp_5(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 ((exists I (m1_subset_1(I,u1_struct_0(B)) & r1_rlvect_1(C,F) & -(F = H & G = I) & r1_rlvect_1(D,I) & r1_rlvect_1(D,G) & r1_rlvect_1(C,H) & k4_rlvect_1(B,H,I) = E & k4_rlvect_1(B,F,G) = E)) & m1_subset_1(H,u1_struct_0(B)))) & m1_subset_1(G,u1_struct_0(B)))))))) | r1_vectsp_5(A,B,C,D)))))))))) # label(t59_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8856 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v8_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v9_vectsp_1(A) & v7_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & v6_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) -> (r1_vectsp_5(A,B,C,D) -> m1_vectsp_5(D,A,B,C)))))))))) # label(t47_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8857 (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) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v5_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v11_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(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].
119.28/118.90	8858 $T # label(t42_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8859 (all A (-v3_struct_0(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) & v4_group_1(A) & v5_rlvect_1(A) -> (all 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) & -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].
119.28/118.90	8860 (all 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) & -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) -> 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].
119.28/118.90	8861 (all A all B all C all D (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) & 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) & v7_vectsp_1(A) & v4_rlvect_1(A) & v3_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].
119.28/118.90	8862 $T # label(t3_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8863 (all A (v4_group_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 (-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) -> 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))) & v12_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].
119.28/118.90	8864 (all A (v3_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) & 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) & v12_vectsp_1(B,A) & l4_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))) -> (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 & r1_rlvect_1(C,k2_domain_1(u1_struct_0(B),u1_struct_0(B),F)) & r1_rlvect_1(D,k3_domain_1(u1_struct_0(B),u1_struct_0(B),F)) -> F = k4_vectsp_5(A,B,E,C,D)))))))))))))) # label(t66_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8865 (all A (-v3_struct_0(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_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) -> v10_lattices(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))) & -v3_struct_0(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].
119.28/118.90	8866 (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_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 (v11_vectsp_1(D,A) & m1_vectsp_4(D,A,B) -> k2_vectsp_5(A,B,D,k1_vectsp_5(A,B,D,C)) = D)))))))) # label(t31_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8867 (all A (-v3_struct_0(A) & v3_rlvect_1(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) -> (all B (-v3_struct_0(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) -> B = k2_vectsp_5(A,B,k2_vectsp_4(A,B),k2_vectsp_4(A,B)))))) # label(t28_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8868 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v4_group_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) -> (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 (v11_vectsp_1(C,A) & m1_vectsp_4(C,A,B) -> k2_vectsp_5(A,B,C,C) = C)))))) # label(t17_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8869 (all A (-v3_struct_0(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) -> (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) -> (all C (v11_vectsp_1(C,A) & m1_vectsp_4(C,A,B) -> k2_vectsp_5(A,B,k2_vectsp_4(A,B),C) = C & k2_vectsp_5(A,B,C,k2_vectsp_4(A,B)) = C)))))) # label(t27_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8870 (all A (-v3_struct_0(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) -> (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) -> (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].
119.28/118.90	8871 $T # label(t73_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8872 (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) & v4_group_1(A) & v5_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) -> (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].
119.28/118.90	8873 (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) & 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_vectsp_4(C,A,B) & v11_vectsp_1(C,A) -> (all D (v11_vectsp_1(D,A) & m1_vectsp_4(D,A,B) -> (D = k1_vectsp_5(A,B,C,D) <-> C = k2_vectsp_5(A,B,C,D)))))))))) # label(t37_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8874 (all A (v4_group_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 (-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_vectsp_4(C,A,B) -> (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)))) & (all D (m1_vectsp_4(D,A,B) -> (D = k2_vectsp_5(A,B,D,C) -> m1_vectsp_4(D,A,C)))))))))) # label(t21_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8875 (all A (v3_rlvect_1(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_struct_0(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 (v1_funct_1(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)) -> ((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) -> (D = F & E = G -> k2_vectsp_5(A,B,F,G) = k2_binop_1(k3_vectsp_5(A,B),k3_vectsp_5(A,B),k3_vectsp_5(A,B),C,D,E)))))))))) <-> k6_vectsp_5(A,B) = C))))))) # label(d8_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8876 (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) & 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) -> k2_vectsp_5(A,B,k1_vectsp_4(A,B),C) = k1_vectsp_4(A,B) & k1_vectsp_4(A,B) = k2_vectsp_5(A,B,C,k1_vectsp_4(A,B)))))))) # label(t25_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8877 (all A (v3_rlvect_1(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_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) & v11_vectsp_1(E,A) -> (k3_xboole_0(u1_struct_0(C),u1_struct_0(D)) = u1_struct_0(E) <-> E = k2_vectsp_5(A,B,C,D)))))))))))) # label(d2_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8878 $T # label(t45_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8879 (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 (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) -> (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) -> (E = k1_vectsp_5(A,B,C,D) <-> a_4_0_vectsp_5(A,B,C,D) = u1_struct_0(E)))))))))))) # label(d1_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8880 (all A (v4_rlvect_1(A) & v5_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) & v6_rlvect_1(A) & v3_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 (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].
119.28/118.90	8881 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_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) -> (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)) -> (r1_vectsp_5(A,B,C,D) -> 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(t64_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.90	8882 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & v3_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 (m1_vectsp_5(D,A,B,C) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> r1_rlvect_1(C,k2_domain_1(u1_struct_0(B),u1_struct_0(B),k4_vectsp_5(A,B,E,C,D))) & r1_rlvect_1(D,k3_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].
119.28/118.90	8883 (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 (-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_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].
119.28/118.90	8884 (all A all B all C all D (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & m1_vectsp_4(C,A,B) & m1_vectsp_4(D,A,B) & 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) & v7_vectsp_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> m1_vectsp_4(k1_vectsp_5(A,B,C,D),A,B) & v11_vectsp_1(k1_vectsp_5(A,B,C,D),A))) # label(dt_k1_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8885 (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_rlvect_1(A) & v5_rlvect_1(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) -> r1_vectsp_5(A,B,k2_vectsp_4(A,B),k1_vectsp_4(A,B)) & r1_vectsp_5(A,B,k1_vectsp_4(A,B),k2_vectsp_4(A,B)))))) # label(t52_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8886 (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_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) -> (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].
119.28/118.91	8887 (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 (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) -> (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].
119.28/118.91	8888 (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_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) -> (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(C,H) & r1_rlvect_1(D,G) & r1_rlvect_1(D,I) & r1_rlvect_1(C,F) & E = k4_rlvect_1(B,H,I) & r1_vectsp_5(A,B,C,D) -> I = G & F = H))))))))))))))))))) # label(t58_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8889 (all A (v3_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v8_vectsp_1(A) & v7_group_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_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_vectsp_4(C,A,B) -> (all D (m1_vectsp_5(D,A,B,C) -> k1_vectsp_4(A,B) = k2_vectsp_5(A,B,D,C) & k2_vectsp_5(A,B,C,D) = k1_vectsp_4(A,B))))))))) # label(t50_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8890 (all A all B (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & 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) & v7_vectsp_1(A) & v4_group_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].
119.28/118.91	8891 $T # label(t18_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8892 (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) & 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) -> v10_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))) & l3_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].
119.28/118.91	8893 (all A (-v3_struct_0(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) -> (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) <-> k1_vectsp_4(A,B) = k2_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_5(A,B,C,D)))))))))) # label(d4_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8894 $T # label(t63_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8895 (all A (v3_rlvect_1(A) & v6_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) & 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) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_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)) -> 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(t69_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8896 $T # label(t43_vectsp_5) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8897 (all A all B (v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & 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) & v8_vectsp_1(A) & v4_group_1(A) & v5_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].
119.28/118.91	8898 (all A all B (v3_rlvect_1(A) & v5_rlvect_1(A) & -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) & 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) -> 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].
119.28/118.91	8899 (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) -> (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].
119.28/118.91	8900 (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) -> (m1_group_2(C,D) -> r1_tarski(k13_group_2(A,C,B),k13_group_2(A,D,B)) & r1_tarski(k12_group_2(A,C,B),k12_group_2(A,D,B))))))))))) # label(t6_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8901 (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].
119.28/118.91	8902 (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))) -> (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].
119.28/118.91	8903 (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,k6_group_2(A)))) # label(t165_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8904 (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 (k6_group_3(A,C,D) = g1_group_1(u1_struct_0(B),u1_group_1(B)) & m1_subset_1(D,u1_struct_0(A)))) <-> r5_group_3(A,B,C)))))))) # label(d11_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8905 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> k11_group_3(A,k5_group_2(A)) = A)) # label(t164_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8906 (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)) -> 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].
119.28/118.91	8907 $T # label(t16_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8908 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (-v3_struct_0(A) & v3_group_1(A) & v7_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))) -> (k1_xboole_0 != C -> k3_group_3(A,B,C) = B)))))))) # label(t65_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8909 (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))) -> 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].
119.28/118.91	8910 (all A all B all C (-v3_struct_0(A) & v1_group_1(C) & m1_group_2(C,A) & m1_group_2(B,A) & v1_group_1(B) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (r5_group_3(A,B,C) <-> r6_group_3(A,B,C)))) # label(redefinition_r6_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8911 (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,C,B) = k1_group_1(A,B,C) <-> B = k2_group_3(A,B,C)))))))) # label(t27_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8912 (all A all B all C (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) & 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].
119.28/118.91	8913 (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,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].
119.28/118.91	8914 (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) -> (k10_group_3(A,B) = C <-> u1_struct_0(C) = a_2_3_group_3(A,B)))))))) # label(d14_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8915 (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) -> v1_finset_1(k9_group_3(A,B))))))) # label(t133_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8916 (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)) -> B = k2_group_3(A,B,k3_group_1(A,B)) & k2_group_3(A,k3_group_1(A,B),B) = k3_group_1(A,B))))) # label(t26_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8917 (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)) -> 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].
119.28/118.91	8918 (all A all B all C (l1_group_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (r2_hidden(A,a_2_1_group_3(B,C)) <-> (exists D (r4_group_3(B,C,D) & D = A & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))))))) # label(fraenkel_a_2_1_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8919 (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) -> m1_subset_1(k2_group_3(A,B,C),u1_struct_0(A)))) # label(dt_k2_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8920 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> -v1_xboole_0(k1_group_3(A)))) # label(fc1_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8921 (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,u1_struct_0(B)) -> ((exists D (m1_subset_1(D,u1_struct_0(B)) & D = A & r2_group_3(B,C,D))) <-> r2_hidden(A,k7_group_3(B,C))))))) # label(t95_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8922 $T # label(t49_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8923 $T # label(t112_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8924 (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)) -> (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].
119.28/118.91	8925 (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) & m1_subset_1(C,u1_struct_0(A)) -> v1_group_1(k6_group_3(A,B,C)) & m1_group_2(k6_group_3(A,B,C),A))) # label(dt_k6_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8926 (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)) -> r2_hidden(B,k7_group_3(A,B)))))) # label(t98_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8927 (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)) -> k2_group_3(A,k2_group_1(A),B) = k2_group_1(A))))) # label(t22_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8928 (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) & v1_group_1(C) -> (A = k6_group_3(A,C,B) -> A = C))))))) # label(t83_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8929 $T # label(t64_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8930 (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].
119.28/118.91	8931 (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)) & np__2 = k17_group_2(A,B) -> v1_group_3(B,A) & m1_group_2(B,A)))))) # label(t151_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8932 (all A all B all C (-v3_struct_0(A) & v3_group_1(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) -> (r2_group_3(A,B,C) -> r2_group_3(A,C,B)))) # label(symmetry_r2_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8933 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> v7_group_1(k5_group_2(A)))) # label(t3_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8934 (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) & v1_group_1(C) -> (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].
119.28/118.91	8935 (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)) -> (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].
119.28/118.91	8936 (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))) -> r3_group_3(A,B,B))))) # label(t105_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8937 (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_int_1(D) -> k2_group_3(A,k6_group_1(A,D,B),C) = k6_group_1(A,D,k2_group_3(A,B,C)))))))))) # label(t34_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8938 (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_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].
119.28/118.91	8939 (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))) -> (r2_hidden(A,k8_group_3(B,C)) <-> (exists D (r4_group_3(B,C,D) & D = A & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))))))))) # label(t111_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8940 (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) -> u1_struct_0(k6_group_3(A,C,B)) = k4_group_2(A,B,k12_group_2(A,C,k3_group_1(A,B))))))))) # label(t71_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8941 $T # label(t69_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8942 (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 = k2_group_3(A,B,B))))) # label(t25_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8943 (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) -> k9_group_1(k6_group_3(A,C,B)) = k9_group_1(C)))))))) # label(t79_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8944 (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) -> k16_group_2(A,k6_group_3(A,C,B)) = k16_group_2(A,C))))))) # label(t84_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8945 (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) -> r1_group_2(A,k6_group_3(A,B,k2_group_1(A)),B))))) # label(t73_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8946 (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) -> 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].
119.28/118.91	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,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r4_group_3(A,B,C) <-> r2_hidden(B,k8_group_3(A,C))))))))) # label(t113_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8948 (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) & 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].
119.28/118.91	8949 (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)) -> m1_group_2(A,B) & v1_group_1(A)))))) # label(t127_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8950 (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)) -> (r2_group_3(A,B,k2_group_1(A)) | r2_group_3(A,k2_group_1(A),B) -> B = k2_group_1(A)))))) # label(t92_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8951 (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))) -> k1_card_1(k8_group_3(A,B)) = k16_group_2(A,k10_group_3(A,B)))))) # label(t155_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8952 (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) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> g1_group_1(u1_struct_0(B),u1_group_1(B)) = k6_group_3(A,B,C)))))))) # label(d13_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8953 (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))) -> (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].
119.28/118.91	8954 (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_1(B) -> (v1_group_3(B,A) & m1_group_2(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> m1_group_2(k6_group_3(A,B,C),B)))))))) # label(t145_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8955 $T # label(t135_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8956 (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))) -> 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].
119.28/118.91	8957 (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_group_2(D,A) -> k10_group_2(A,D,k4_group_2(A,B,C)) = k2_group_2(A,C,k12_group_2(A,D,B)))))))))) # label(t10_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8958 $T # label(t68_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8959 (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_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> k5_group_3(A,k2_group_2(A,C,D),B) = k3_group_3(A,k5_group_3(A,C,B),D))))))))) # label(t55_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8960 (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))) -> 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].
119.28/118.91	8961 (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,k1_zfmisc_1(u1_struct_0(A))) -> k5_group_3(A,D,k2_group_3(A,B,C)) = k5_group_3(A,k3_group_2(A,C,D),B))))))))) # label(t58_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8962 (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) -> k10_group_3(A,k7_group_2(A,B)) = k11_group_3(A,B))))) # label(d15_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8963 (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) -> (r1_rlvect_1(k11_group_3(B,C),A) <-> (exists D (m1_subset_1(D,u1_struct_0(B)) & A = D & r1_group_2(B,k6_group_3(B,C,D),C)))))))) # label(t160_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8964 (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) -> (k1_tarski(B) = k9_group_3(A,B) <-> m1_group_2(B,A) & v1_group_3(B,A)))))) # label(t146_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8965 (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)) -> k2_group_3(A,k2_group_3(A,B,C),D) = k2_group_3(A,B,k1_group_1(A,C,D)))))))))) # label(t29_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8966 (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,C,k3_group_2(A,B,D)) = k3_group_3(A,k4_group_3(A,C,B),D))))))))) # label(t54_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8967 (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) -> (all C (v1_group_1(C) & m1_group_2(C,A) -> (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].
119.28/118.91	8968 (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) & v4_group_1(A) & l1_group_1(A) & v7_group_1(A) & v3_group_1(A) -> B = k2_group_3(A,B,C)))))))) # label(t35_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8969 (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))) -> ((exists D (k4_group_3(A,B,D) = C & m1_subset_1(D,u1_struct_0(A)))) <-> r3_group_3(A,B,C)))))))) # label(t104_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8970 $T # label(t17_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8971 (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_group_3(A,B,C) <-> (exists D (C = k2_group_3(A,B,D) & m1_subset_1(D,u1_struct_0(A))))))))))) # label(t88_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8972 (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) -> k8_group_1(k6_group_3(A,C,B)) = k8_group_1(C))))))) # label(t77_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8973 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(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) -> (exists 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) & v1_group_1(D))))))))) # label(t149_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8974 (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 (v1_group_1(D) & m1_group_2(D,A) -> (D = k6_group_3(A,B,C) <-> k4_group_3(A,k7_group_2(A,B),C) = u1_struct_0(D)))))))))) # label(d6_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8975 (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)) -> 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].
119.28/118.91	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)) -> (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].
119.28/118.91	8977 (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) -> k12_group_2(A,C,B) = k10_group_2(A,C,k6_domain_1(u1_struct_0(A),B)))))))) # label(t7_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8978 (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,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].
119.28/118.91	8979 (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,u1_struct_0(A)) & l1_group_1(A) & v3_group_1(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].
119.28/118.91	8980 (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))) -> (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].
119.28/118.91	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,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].
119.28/118.91	8982 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (v3_group_1(A) & v7_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) <-> v1_binop_1(u1_group_1(A),u1_struct_0(A))))) # label(t2_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8983 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (v6_group_1(A) -> v1_finset_1(k1_group_3(A))))) # label(t19_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8984 (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)) -> 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].
119.28/118.91	8985 (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 (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].
119.28/118.91	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,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].
119.28/118.91	8987 (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)) -> (k2_group_3(A,B,C) = k2_group_3(A,D,C) -> D = B))))))))) # label(t21_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8988 (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)) -> (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].
119.28/118.91	8989 (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_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)) & k2_group_3(B,C,E) = A & r2_hidden(E,D)))))))))) # label(t51_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8990 (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)) -> 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].
119.28/118.91	8991 (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))) -> (v6_group_1(A) -> v1_finset_1(k8_group_3(A,B))))))) # label(t119_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8992 $T # label(t110_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8993 $T # label(t37_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8994 (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)) -> 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].
119.28/118.91	8995 (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_group_2(D,A) -> k2_group_2(A,k13_group_2(A,D,B),C) = k11_group_2(A,D,k3_group_2(A,B,C)))))))))) # label(t13_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8996 (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))) -> 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].
119.28/118.91	8997 $T # label(t75_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8998 (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) -> (r2_hidden(A,a_2_3_group_3(B,C)) <-> (exists D (m1_subset_1(D,u1_struct_0(B)) & A = D & C = k4_group_3(B,C,D)))))) # label(fraenkel_a_2_3_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	8999 (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))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> k3_group_3(A,k3_group_3(A,B,C),D) = k3_group_3(A,B,k2_group_2(A,C,D)))))))))) # label(t42_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	9000 (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))) -> -((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].
119.28/118.91	9001 (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_1(C) & m1_group_2(C,A) & v1_group_3(C,A) -> v1_group_3(k9_group_2(A,B,C),A))))))) # label(t138_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	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)) -> B = k2_group_3(A,B,k2_group_1(A)))))) # label(t24_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	9003 $T # label(t125_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	9004 (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) -> k2_group_2(A,C,k13_group_2(A,D,B)) = k4_group_2(A,B,k10_group_2(A,D,C)))))))))) # label(t12_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	9005 (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)) -> k4_group_3(A,B,C) = k3_group_3(A,B,k6_domain_1(u1_struct_0(A),C)))))))) # label(d4_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	9006 (all A all B all C all D (v4_group_1(B) & 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))) & v3_group_1(B) & -v3_struct_0(B) -> ((exists E exists F (m1_subset_1(E,u1_struct_0(B)) & k2_group_3(B,E,F) = A & r2_hidden(F,D) & r2_hidden(E,C) & m1_subset_1(F,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].
119.28/118.91	9007 $T # label(t126_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	9008 (all A all B all C (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) & -v3_struct_0(A) -> (r4_group_3(A,B,C) <-> r3_group_3(A,B,C)))) # label(redefinition_r4_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	9009 (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) -> (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,C) = k9_group_3(A,B)))))))) # label(t132_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	9010 (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) -> r6_group_3(A,B,B))) # label(reflexivity_r6_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	9011 (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) -> k13_group_2(A,C,B) = k11_group_2(A,C,k6_domain_1(u1_struct_0(A),B)))))))) # label(t8_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	9012 (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,k1_zfmisc_1(u1_struct_0(B))) -> ((exists D (k4_group_3(B,C,D) = C & A = D & m1_subset_1(D,u1_struct_0(B)))) <-> r1_rlvect_1(k10_group_3(B,C),A)))))) # label(t154_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	9013 $T # label(t136_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	9014 (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))) -> r2_hidden(B,k8_group_3(A,B)))))) # label(t115_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	9015 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v1_group_1(B) & m1_group_2(C,A) & v1_group_1(C) & m1_group_2(B,A) & v4_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].
119.28/118.91	9016 (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,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].
119.28/118.91	9017 (all A all B (v3_group_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_group_1(A) & v4_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].
119.28/118.91	9018 (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 (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].
119.28/118.91	9019 (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))) -> a_2_1_group_3(A,B) = k8_group_3(A,B))))) # label(d10_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	9020 (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)) -> k5_group_3(A,B,C) = k3_group_3(A,k6_domain_1(u1_struct_0(A),C),B))))))) # label(d5_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	9021 (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 (v1_finset_1(C) -> -(k4_card_1(C) = k17_group_2(A,k10_group_3(A,k6_domain_1(u1_struct_0(A),B))) & k7_group_3(A,B) = C))) & (v1_finset_1(k7_group_3(A,B)) | v1_finset_1(k14_group_2(A,k10_group_3(A,k6_domain_1(u1_struct_0(A),B)))))))))) # label(t158_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	9022 (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)) -> (r4_group_3(A,k6_domain_1(u1_struct_0(A),B),k6_domain_1(u1_struct_0(A),C)) <-> r2_group_3(A,B,C)))))))) # label(t108_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	9023 (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_1(A) = k2_group_3(A,B,C) -> B = k2_group_1(A)))))))) # label(t23_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	9024 $T # label(t94_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	9025 $T # label(dt_k1_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	9026 (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,u1_struct_0(A)) -> B = k4_group_3(A,B,C))))) <-> -v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v7_group_1(A) & v4_group_1(A)))) # label(t66_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	9027 $T # label(t103_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	9028 (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].
119.28/118.91	9029 (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))) -> B = k4_group_3(A,B,k2_group_1(A)))))) # label(t61_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	9030 (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)) -> (k7_group_3(A,B) = k6_domain_1(u1_struct_0(A),k2_group_1(A)) <-> k2_group_1(A) = B))))) # label(t101_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.91	9031 (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 (v1_group_1(C) & m1_group_2(C,A) -> ((exists D (r1_group_2(A,C,k6_group_3(A,B,D)) & m1_subset_1(D,u1_struct_0(A)))) <-> r5_group_3(A,B,C)))))))) # label(t121_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9032 (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,k6_group_3(A,C,k3_group_1(A,B)),B),C) & r1_group_2(A,k6_group_3(A,k6_group_3(A,C,B),k3_group_1(A,B)),C))))))) # label(t74_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9033 (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,B,C) = B)))) -> v7_group_1(A)))) # label(t36_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9034 (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,k1_group_1(A,k3_group_1(A,C),C),B) = B & B = k1_group_1(A,k1_group_1(A,C,k3_group_1(A,C)),B) & B = k1_group_1(A,B,k1_group_1(A,C,k3_group_1(A,C))) & k1_group_1(A,C,k1_group_1(A,k3_group_1(A,C),B)) = B & B = k1_group_1(A,k3_group_1(A,C),k1_group_1(A,C,B)) & B = k1_group_1(A,B,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)))))))) # label(t1_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9035 (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))) -> (k8_group_3(A,B) = k8_group_3(A,C) <-> -r1_xboole_0(k8_group_3(A,B),k8_group_3(A,C))))))))) # label(t117_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9036 (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 (v1_group_1(C) & m1_group_2(C,A) -> r2_hidden(k6_group_3(A,C,B),k9_group_3(A,C)))))))) # label(t129_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9037 (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) <-> v6_group_1(k6_group_3(A,C,B))))))))) # label(t78_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9038 $T # label(t120_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9039 (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,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].
119.28/118.92	9040 (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 (v1_group_1(C) & m1_group_2(C,A) & v1_group_3(C,A) -> k2_group_2(A,k7_group_2(A,C),k7_group_2(A,B)) = k2_group_2(A,k7_group_2(A,B),k7_group_2(A,C)))))))) # label(t148_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9041 (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_1(B) -> (-v3_struct_0(A) & v7_group_1(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> v1_group_3(B,A)))))) # label(t139_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9042 (all A all B (m1_subset_1(B,u1_struct_0(A)) & l1_group_1(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].
119.28/118.92	9043 (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) -> (all D (v1_group_1(D) & m1_group_2(D,A) -> (r6_group_3(A,C,D) & r5_group_3(A,D,B) -> r5_group_3(A,C,B)))))))))) # label(t124_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9044 (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 (m1_group_2(E,A) & r5_group_3(A,B,E) & D = E & v1_group_1(E))) <-> r2_hidden(D,C))) <-> C = k9_group_3(A,B)))))))) # label(d12_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9045 (all A all B all C (-v3_struct_0(A) & v3_group_1(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) -> r2_group_3(A,B,B))) # label(reflexivity_r2_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9046 (all A all B all C (-v3_struct_0(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) & 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].
119.28/118.92	9047 (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) -> (m1_group_2(B,A) & v1_group_3(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> k13_group_2(A,B,C) = k12_group_2(A,B,C)))))))) # label(t140_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9048 (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) -> r5_group_3(A,B,B))))) # label(t122_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9049 (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) -> (all C (v1_group_1(C) & m1_group_2(C,A) -> (r5_group_3(A,B,C) -> r5_group_3(A,C,B)))))))) # label(t123_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9050 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) -> (r2_group_3(A,B,C) <-> r1_group_3(A,B,C)))) # label(redefinition_r2_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9051 (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)) -> 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].
119.28/118.92	9052 (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))) -> (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].
119.28/118.92	9053 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (v1_group_3(B,A) & m1_group_2(B,A) -> k15_group_2(A,B) = k14_group_2(A,B))))) # label(t150_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9054 (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))) -> k4_group_3(A,k3_group_3(A,C,D),B) = k3_group_3(A,C,k4_group_2(A,B,D)))))))))) # label(t53_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9055 $T # label(t31_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9056 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (exists B (m1_group_2(B,A) & v1_group_1(B) & v2_group_1(B) & v3_group_1(B) & v1_group_3(B,A) & v4_group_1(B) & -v3_struct_0(B))))) # label(rc1_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9057 (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) -> 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].
119.28/118.92	9058 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (B = k1_group_3(A) <-> (all C (r2_hidden(C,B) <-> m1_group_2(C,A) & v1_group_1(C))))))) # label(d1_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9059 $T # label(t159_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9060 (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)) -> 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].
119.28/118.92	9061 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> r2_hidden(A,k1_group_3(A)))) # label(t18_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9062 (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)) -> k6_domain_1(u1_struct_0(A),k2_group_3(A,B,C)) = k3_group_3(A,k6_domain_1(u1_struct_0(A),B),k6_domain_1(u1_struct_0(A),C)))))))) # label(t44_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9063 (all A (v4_group_1(A) & l1_group_1(A) & v3_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].
119.28/118.92	9064 (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 (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))))) <-> r2_hidden(A,k3_group_3(B,C,D))))))))) # label(t38_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9065 $T # label(t48_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9066 (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_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].
119.28/118.92	9067 (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,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].
119.28/118.92	9068 (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_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].
119.28/118.92	9069 (all A all B (v3_group_1(A) & m1_group_2(B,A) & l1_group_1(A) & v4_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].
119.28/118.92	9070 (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))) -> r2_hidden(k4_group_3(A,C,B),k8_group_3(A,C)))))))) # label(t114_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9071 (all A all B all C (-v3_struct_0(B) & m1_subset_1(C,u1_struct_0(B)) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) -> (r2_hidden(A,a_2_2_group_3(B,C)) <-> (exists D (k6_domain_1(u1_struct_0(B),D) = A & r2_hidden(D,k7_group_3(B,C)) & m1_subset_1(D,u1_struct_0(B))))))) # label(fraenkel_a_2_2_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9072 (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_xboole_0(k7_group_3(A,B),k7_group_3(A,C)) <-> k7_group_3(A,B) = k7_group_3(A,C)))))))) # label(t100_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9073 (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 (v1_finset_1(C) -> -(k17_group_2(A,k11_group_3(A,B)) = k4_card_1(C) & k9_group_3(A,B) = C))) & (v1_finset_1(k9_group_3(A,B)) | v1_finset_1(k14_group_2(A,k11_group_3(A,B))))))))) # label(t162_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9074 (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) -> (v1_group_3(B,A) & 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))))))))) # label(t144_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9075 (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) & 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))))))))) # label(t142_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9076 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> (A = k11_group_3(A,B) <-> m1_group_2(B,A) & v1_group_3(B,A)))))) # label(t163_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9077 (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)) -> (r2_hidden(B,k7_group_3(A,C)) <-> r2_group_3(A,B,C)))))))) # label(t96_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9078 (all A all B (-v3_struct_0(A) & l1_group_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v4_group_1(A) & v3_group_1(A) -> v1_group_1(k10_group_3(A,B)) & m1_group_2(k10_group_3(A,B),A))) # label(dt_k10_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9079 (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))) -> k3_group_3(A,B,C) = a_3_0_group_3(A,B,C))))))) # label(d3_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9080 (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) -> r2_hidden(B,k9_group_3(A,B)))))) # label(t130_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9081 (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))) -> k4_group_3(A,C,B) = k4_group_2(A,B,k3_group_2(A,k3_group_1(A,B),C)))))))) # label(t59_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9082 (all A all B all C (-v3_struct_0(A) & 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) -> r4_group_3(A,B,B))) # label(reflexivity_r4_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9083 (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))) -> k4_group_3(A,k4_group_3(A,C,k3_group_1(A,B)),B) = C & C = k4_group_3(A,k4_group_3(A,C,B),k3_group_1(A,B)))))))) # label(t63_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9084 (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,u1_struct_0(B)) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (r2_hidden(A,k4_group_3(B,D,C)) <-> (exists E (A = k2_group_3(B,E,C) & r2_hidden(E,D) & m1_subset_1(E,u1_struct_0(B))))))))))) # label(t50_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9085 (all A all B all C (v3_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) & v4_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].
119.28/118.92	9086 $T # label(t87_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	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)) -> (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,k4_group_3(A,D,B),C) = k4_group_3(A,D,k1_group_1(A,B,C)))))))))) # label(t56_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	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].
119.28/118.92	9089 (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_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].
119.28/118.92	9090 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (-v3_struct_0(A) & v3_group_1(A) & v7_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,u1_struct_0(A)) -> (k1_xboole_0 != B -> k5_group_3(A,B,C) = k6_domain_1(u1_struct_0(A),C))))))))) # label(t67_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9091 (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)) -> r1_group_3(A,B,B))))) # label(t89_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9092 (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))) -> 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].
119.28/118.92	9093 (all A all B all C (-v3_struct_0(B) & l1_group_1(B) & m1_subset_1(C,u1_struct_0(B)) & v4_group_1(B) & v3_group_1(B) -> (r2_hidden(A,a_2_0_group_3(B,C)) <-> (exists D (m1_subset_1(D,u1_struct_0(B)) & D = A & r2_group_3(B,C,D)))))) # label(fraenkel_a_2_0_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9094 (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)) -> B = k2_group_3(A,k2_group_3(A,B,C),k3_group_1(A,C)) & B = k2_group_3(A,k2_group_3(A,B,k3_group_1(A,C)),C))))))) # label(t30_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9095 $T # label(t153_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9096 (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_3(A,k3_group_1(A,B),C) = k3_group_1(A,k2_group_3(A,B,C)))))))) # label(t32_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9097 (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))) -> (k3_group_3(A,B,C) != k1_xboole_0 <-> k1_xboole_0 != B & C != k1_xboole_0))))))) # label(t39_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9098 (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)) -> k5_group_3(A,k7_group_2(A,k6_group_2(A)),B) = k7_group_3(A,B))))) # label(d8_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9099 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (v3_group_1(A) & v4_group_1(A) & v7_group_1(A) & l1_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)) -> r1_group_2(A,k6_group_3(A,B,C),B)))))))) # label(t86_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	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)) -> (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,k11_group_2(A,D,C)) = k11_group_2(A,D,k4_group_2(A,B,C)))))))))) # label(t14_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9101 (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_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].
119.28/118.92	9102 $T # label(t152_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9103 (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))) -> (r3_group_3(A,B,C) -> r3_group_3(A,C,B)))))))) # label(t106_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9104 (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) -> (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].
119.28/118.92	9105 (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)) -> (r2_group_3(A,C,D) & r2_group_3(A,B,C) -> r2_group_3(A,B,D)))))))))) # label(t91_group_3) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9106 (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 (m2_relset_1(E,C,u1_struct_0(A)) & v1_funct_2(E,C,u1_struct_0(A)) & v1_funct_1(E) -> (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].
119.28/118.92	9107 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(A)) -> (all C (v10_lattices(C) & l3_lattices(C) & v14_lattices(C) & -v3_struct_0(C) -> (all D (m2_relset_1(D,A,u1_struct_0(C)) & v1_funct_2(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)) -> (k2_partfun1(A,u1_struct_0(C),E,B) = k2_partfun1(A,u1_struct_0(C),D,B) -> k3_lattice2(A,C,B,D) = k3_lattice2(A,C,B,E)))))))))))) # label(t75_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9108 $T # label(t4_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9109 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> r1_lattice2(u1_struct_0(A),u2_lattices(A),u1_lattices(A)))) # label(t40_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9110 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_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].
119.28/118.92	9111 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,k5_finsub_1(B)) -> (all D (v1_funct_2(D,B,u1_struct_0(A)) & m2_relset_1(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].
119.28/118.92	9112 (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 (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))))) -> D = k1_xboole_0 | r3_lattices(A,B,k3_lattice2(C,A,D,E))))))))))))) # label(t61_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9113 (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) -> (all E (v1_funct_1(E) & m2_relset_1(E,A,B) & v1_funct_2(E,A,B) -> ((all F (m1_subset_1(F,A) -> (r2_hidden(F,C) -> k1_funct_1(E,F) = k1_funct_1(D,F)))) -> k1_funct_4(E,k2_partfun1(A,B,D,C)) = E))))))))) # label(t10_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9114 $T # label(t23_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9115 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(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].
119.28/118.92	9116 (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].
119.28/118.92	9117 (all A (-v3_struct_0(A) & l3_lattices(A) -> u1_struct_0(k1_lattice2(A)) = u1_struct_0(A) & u1_lattices(A) = u2_lattices(k1_lattice2(A)) & u1_lattices(k1_lattice2(A)) = u2_lattices(A))) # label(t18_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9118 (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 (r2_hidden(F,D) & r3_lattices(A,B,k8_funct_2(C,u1_struct_0(A),E,F)) & m1_subset_1(F,C))) -> r3_lattices(A,B,k2_lattice2(C,A,D,E))))))))))))) # label(t44_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9119 (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) -> ((all F (m1_subset_1(F,C) -> (r2_hidden(F,D) -> k8_funct_2(C,u1_struct_0(A),E,F) = B))) -> k3_lattice2(C,A,D,E) = B | k1_xboole_0 = D))))))))))) # label(t57_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9120 (all A (-v3_struct_0(A) & v7_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)) & v2_binop_1(u1_lattices(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].
119.28/118.92	9121 (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 (m2_relset_1(E,C,u1_struct_0(A)) & v1_funct_2(E,C,u1_struct_0(A)) & v1_funct_1(E) -> (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].
119.28/118.92	9122 (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_1(D) & m2_relset_1(D,A,u1_struct_0(B)) & v1_funct_2(D,A,u1_struct_0(B)) -> k3_lattice2(A,B,C,D) = k7_setwiseo(A,u1_struct_0(B),u1_lattices(B),C,D))))))))) # label(d4_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9123 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(A)) -> (all C (-v3_struct_0(C) & v10_lattices(C) & v11_lattices(C) & v13_lattices(C) & l3_lattices(C) -> (all D (m2_relset_1(D,A,u1_struct_0(C)) & v1_funct_2(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)) -> (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].
119.28/118.92	9124 (all A (v10_lattices(A) & l3_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].
119.28/118.92	9125 (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) -> (r1_lattice2(A,B,C) <-> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> k2_binop_1(A,A,A,B,D,k2_binop_1(A,A,A,C,D,E)) = D))))))))))) # label(d1_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9126 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(A)) -> (all C (v10_lattices(C) & v14_lattices(C) & l3_lattices(C) & -v3_struct_0(C) -> (all D (m2_relset_1(D,A,u1_struct_0(C)) & v1_funct_2(D,A,u1_struct_0(C)) & v1_funct_1(D) -> (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].
119.28/118.92	9127 (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].
119.28/118.92	9128 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(k1_lattice2(A))) -> (all E (m1_subset_1(E,u1_struct_0(k1_lattice2(A))) -> (E = C & D = B -> k4_lattices(k1_lattice2(A),D,E) = k3_lattices(A,B,C) & k3_lattices(k1_lattice2(A),D,E) = k4_lattices(A,B,C)))))))))))) # label(t52_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9129 $T # label(t20_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9130 (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) -> (all E (m2_relset_1(E,A,B) & v1_funct_2(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].
119.28/118.92	9131 (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) -> 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].
119.28/118.92	9132 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> v3_binop_1(u1_lattices(A),u1_struct_0(A)))) # label(t30_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9133 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (l3_lattices(A) & v11_lattices(A) & v10_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].
119.28/118.92	9134 (all A all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (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) -> (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(E,F) = k1_funct_1(D,F))))))))))))) # label(t5_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9135 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (-v3_struct_0(k1_lattice2(A)) & v10_lattices(k1_lattice2(A)) & l3_lattices(k1_lattice2(A)) & v11_lattices(k1_lattice2(A)) <-> v10_lattices(A) & l3_lattices(A) & v11_lattices(A) & -v3_struct_0(A)))) # label(t65_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9136 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(A)) -> (all C (-v3_struct_0(C) & v10_lattices(C) & l3_lattices(C) & v13_lattices(C) & v11_lattices(C) -> (all D (m2_relset_1(D,A,u1_struct_0(C)) & v1_funct_2(D,A,u1_struct_0(C)) & v1_funct_1(D) -> (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].
119.28/118.92	9137 (all A (v10_lattices(A) & l3_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))))) -> 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].
119.28/118.92	9138 (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) -> k1_relat_1(k2_partfun1(A,B,D,C)) = C)))))) # label(t2_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9139 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_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].
119.28/118.92	9140 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (v1_setwiseo(u2_lattices(A),u1_struct_0(A)) -> k5_lattices(A) = k3_binop_1(u1_struct_0(A),u2_lattices(A))))) # label(t28_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9141 (all A (v10_lattices(A) & v13_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> v1_setwiseo(u2_lattices(A),u1_struct_0(A)))) # label(t67_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9142 (all A (v10_lattices(A) & l3_lattices(A) & v13_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].
119.28/118.92	9143 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v14_lattices(A) -> k5_lattices(k1_lattice2(A)) = k6_lattices(A))) # label(t79_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9144 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v10_lattices(A) & v1_lattice2(A) -> -v3_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v10_lattices(A) & v13_lattices(A) & v3_filter_0(A) & v9_lattices(A) & v8_lattices(A) & v7_lattices(A) & v6_lattices(A)))) # label(cc1_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9145 (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 (v1_funct_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> (all E (m1_subset_1(E,k5_finsub_1(A)) -> (k2_partfun1(A,B,D,E) = k2_partfun1(A,B,C,E) -> k2_funct_2(A,B,C,E) = k2_funct_2(A,B,D,E)))))))))) # label(t16_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9146 (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)) -> k1_relat_1(k2_partfun1(A,B,C,D)) = D)))))) # label(t13_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9147 (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)) -> k1_funct_4(k2_partfun1(A,B,C,E),D) = D)))))))) # label(t12_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9148 (exists A (l3_lattices(A) & v5_lattices(A) & v8_lattices(A) & v9_lattices(A) & v1_lattice2(A) & v10_lattices(A) & v7_lattices(A) & v6_lattices(A) & v4_lattices(A) & -v3_struct_0(A))) # label(rc1_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9149 (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) & v1_funct_2(E,C,u1_struct_0(A)) & m2_relset_1(E,C,u1_struct_0(A)) -> (k1_xboole_0 != D -> k4_lattices(A,B,k3_lattice2(C,A,D,E)) = k3_lattice2(C,A,D,k8_funcop_1(u1_struct_0(A),C,u1_lattices(A),B,E))))))))))))) # label(t58_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9150 (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 (m2_relset_1(D,A,u1_struct_0(C)) & v1_funct_2(D,A,u1_struct_0(C)) & v1_funct_1(D) -> (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].
119.28/118.92	9151 (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 (v1_funct_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> (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].
119.28/118.92	9152 (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].
119.28/118.92	9153 $T # label(t15_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9154 $T # label(t3_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9155 (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) -> r3_lattices(A,k8_funct_2(C,u1_struct_0(A),E,F),B)))) -> k1_xboole_0 = D | r3_lattices(A,k2_lattice2(C,A,D,E),B)))))))))))) # label(t47_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9156 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v6_group_1(A) & v10_lattices(A) -> -v3_struct_0(A) & v9_lattices(A) & v10_lattices(A) & v13_lattices(A) & v8_lattices(A) & v7_lattices(A) & v6_lattices(A) & v5_lattices(A) & v4_lattices(A)))) # label(cc3_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9157 (all A (v6_lattices(A) & l1_lattices(A) & -v3_struct_0(A) -> v1_relat_1(u1_lattices(A)) & v1_funct_1(u1_lattices(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_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(fc4_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9158 (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)) -> (all E (v1_funct_1(E) & v1_funct_2(E,A,u1_struct_0(k1_lattice2(B))) & m2_relset_1(E,A,u1_struct_0(k1_lattice2(B))) -> (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].
119.28/118.92	9159 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(k1_lattice2(A))) -> (all E (m1_subset_1(E,u1_struct_0(k1_lattice2(A))) -> (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].
119.28/118.92	9160 (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 (v1_funct_1(k1_funct_4(C,k2_partfun1(A,B,D,E))) & m2_relset_1(k1_funct_4(C,k2_partfun1(A,B,D,E)),A,B) & v1_funct_2(k1_funct_4(C,k2_partfun1(A,B,D,E)),A,B))))))))) # label(t6_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9161 (all A (l3_lattices(A) -> (v10_lattices(A) & v3_filter_0(A) & v13_lattices(A) & -v3_struct_0(A) -> v6_lattices(A) & v8_lattices(A) & v1_lattice2(A) & v10_lattices(A) & v9_lattices(A) & v7_lattices(A) & v5_lattices(A) & v4_lattices(A) & -v3_struct_0(A)))) # label(cc2_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9162 (all A (v5_lattices(A) & l2_lattices(A) & -v3_struct_0(A) -> v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v2_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(fc3_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9163 (all A (l3_lattices(A) -> (v10_lattices(A) & v6_group_1(A) & -v3_struct_0(A) -> v6_lattices(A) & v8_lattices(A) & v14_lattices(A) & v15_lattices(A) & v13_lattices(A) & v10_lattices(A) & v9_lattices(A) & v7_lattices(A) & v5_lattices(A) & v4_lattices(A) & -v3_struct_0(A)))) # label(cc5_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9164 (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_1(D) & m2_relset_1(D,A,u1_struct_0(B)) & v1_funct_2(D,A,u1_struct_0(B)) -> k7_setwiseo(A,u1_struct_0(B),u2_lattices(B),C,D) = k2_lattice2(A,B,C,D))))))))) # label(d3_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9165 (all A (-v3_struct_0(A) & v10_lattices(A) & v14_lattices(A) & l3_lattices(A) -> v1_setwiseo(u1_lattices(A),u1_struct_0(A)))) # label(t73_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9166 (all A (-v3_struct_0(A) & v5_lattices(A) & l2_lattices(A) -> v2_binop_1(u2_lattices(A),u1_struct_0(A)))) # label(t29_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9167 (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)) -> B = k6_lattices(A)))))) # label(t25_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9168 (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)) -> C = k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u2_lattices(A),B,C))) -> k5_lattices(A) = B))))) # label(t22_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9169 (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) & v1_funct_2(D,B,u1_struct_0(A)) & m2_relset_1(D,B,u1_struct_0(A)) -> (all E (v1_funct_1(E) & v1_funct_2(E,B,u1_struct_0(A)) & m2_relset_1(E,B,u1_struct_0(A)) -> (k2_partfun1(B,u1_struct_0(A),E,C) = k2_partfun1(B,u1_struct_0(A),D,C) -> k3_lattice2(B,A,C,E) = k3_lattice2(B,A,C,D) | k1_xboole_0 = C))))))))))) # label(t60_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9170 $T # label(t11_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.92	9171 (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 (v1_funct_2(E,B,u1_struct_0(A)) & m2_relset_1(E,B,u1_struct_0(A)) & v1_funct_1(E) -> (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].
119.28/118.92	9172 (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)) -> C = k4_lattices(A,B,C))) -> B = k6_lattices(A)))))) # label(t24_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9173 (all A (l3_lattices(A) & v13_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> k5_lattices(A) = k3_binop_1(u1_struct_0(A),u2_lattices(A)))) # label(t68_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9174 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(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].
119.28/118.93	9175 $T # label(t42_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9176 (all A (l3_lattices(A) & v14_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> r3_binop_1(u1_struct_0(A),k6_lattices(A),u1_lattices(A)))) # label(t72_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9177 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> r1_lattice2(u1_struct_0(A),u1_lattices(A),u2_lattices(A)))) # label(t41_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9178 $T # label(t1_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9179 (all A all B all C all D (-v3_struct_0(B) & l3_lattices(B) & m1_subset_1(C,k5_finsub_1(A)) & v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(B)) & m1_relset_1(D,A,u1_struct_0(B)) & v10_lattices(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].
119.28/118.93	9180 (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) -> k1_funct_4(D,k2_partfun1(A,B,D,C)) = D)))))) # label(t9_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	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 (-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) -> ((exists F (r2_hidden(F,D) & r3_lattices(A,k8_funct_2(C,u1_struct_0(A),E,F),B) & m1_subset_1(F,C))) -> r3_lattices(A,k3_lattice2(C,A,D,E),B)))))))))))) # label(t56_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9182 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(A)) -> (all C (-v3_struct_0(C) & v10_lattices(C) & v13_lattices(C) & l3_lattices(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) -> k2_lattice2(A,C,B,E) = k2_lattice2(A,C,B,D)))))))))))) # label(t69_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9183 (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 (m2_relset_1(D,A,u1_struct_0(C)) & v1_funct_2(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)) -> ((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].
119.28/118.93	9184 (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) -> (all D (m1_subset_1(D,u1_struct_0(k1_lattice2(A))) -> (all E (m1_subset_1(E,u1_struct_0(k1_lattice2(A))) -> (D = B & C = E -> r3_lattices(k1_lattice2(A),E,D))))))))))))) # label(t53_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9185 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> r6_binop_1(u1_struct_0(A),u1_lattices(A),u1_lattices(A)))) # label(t39_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9186 (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].
119.28/118.93	9187 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v6_group_1(A) & v10_lattices(A) -> v4_lattices(A) & v9_lattices(A) & v10_lattices(A) & v14_lattices(A) & v8_lattices(A) & v7_lattices(A) & v6_lattices(A) & v5_lattices(A) & -v3_struct_0(A)))) # label(cc4_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9188 (all A (l1_lattices(A) & v6_lattices(A) & -v3_struct_0(A) -> v1_binop_1(u1_lattices(A),u1_struct_0(A)))) # label(t31_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9189 (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].
119.28/118.93	9190 (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 (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,k2_lattice2(A,C,B,D),k2_lattice2(A,C,B,E))))))))))))) # label(t71_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9191 (all A (l3_lattices(A) -> g3_lattices(u1_struct_0(A),u1_lattices(A),u2_lattices(A)) = k1_lattice2(A))) # label(d2_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9192 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (-v3_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) -> r6_binop_1(u1_struct_0(A),u2_lattices(A),u1_lattices(A))))) # label(t35_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9193 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (v6_group_1(A) <-> v6_group_1(k1_lattice2(A))))) # label(t85_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9194 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(A)) -> (all C (-v3_struct_0(C) & l3_lattices(C) & v13_lattices(C) & v11_lattices(C) & v10_lattices(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 (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].
119.28/118.93	9195 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> v4_lattices(k1_lattice2(A)) & v6_lattices(k1_lattice2(A)) & v7_lattices(k1_lattice2(A)) & v9_lattices(k1_lattice2(A)) & v10_lattices(k1_lattice2(A)) & v8_lattices(k1_lattice2(A)) & v5_lattices(k1_lattice2(A)) & v3_lattices(k1_lattice2(A)) & -v3_struct_0(k1_lattice2(A)))) # label(fc6_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9196 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (v13_lattices(A) <-> v14_lattices(k1_lattice2(A))))) # label(t63_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9197 (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].
119.28/118.93	9198 (all A (-v3_struct_0(A) & l3_lattices(A) & v13_lattices(A) & v11_lattices(A) & v10_lattices(A) -> r6_binop_1(u1_struct_0(A),u1_lattices(A),u2_lattices(A)))) # label(t80_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9199 (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) -> (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].
119.28/118.93	9200 (all A (v7_lattices(A) & l1_lattices(A) & -v3_struct_0(A) -> v2_binop_1(u1_lattices(A),u1_struct_0(A)))) # label(t32_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9201 (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(k2_lattice2(A,B,C,D),u1_struct_0(B)))) # label(dt_k2_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9202 (exists A (l3_lattices(A) & v7_lattices(A) & v8_lattices(A) & v3_filter_0(A) & v1_lattice2(A) & v13_lattices(A) & v10_lattices(A) & v9_lattices(A) & v6_lattices(A) & v5_lattices(A) & v4_lattices(A) & v3_lattices(A) & -v3_struct_0(A))) # label(rc2_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9203 $T # label(d5_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9204 (all A (v3_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> k1_lattice2(k1_lattice2(A)) = A)) # label(t19_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9205 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v10_lattices(A) & v11_lattices(A) & v6_group_1(A) -> -v3_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v9_lattices(A) & v13_lattices(A) & v3_filter_0(A) & v1_lattice2(A) & v10_lattices(A) & v8_lattices(A) & v7_lattices(A) & v6_lattices(A)))) # label(cc6_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9206 (all A (-v3_struct_0(A) & l3_lattices(A) -> (v1_binop_1(u2_lattices(A),u1_struct_0(A)) & v2_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)) & v1_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].
119.28/118.93	9207 (all A (-v3_struct_0(A) & v13_lattices(A) & l3_lattices(A) & v10_lattices(A) -> k5_lattices(A) = k6_lattices(k1_lattice2(A)))) # label(t78_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9208 (all A (-v3_struct_0(A) & l3_lattices(A) & v13_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)) -> (exists D (m1_subset_1(D,u1_struct_0(A)) & r3_lattices(A,k4_lattices(A,B,D),C) & (all E (m1_subset_1(E,u1_struct_0(A)) -> (r3_lattices(A,k4_lattices(A,B,E),C) -> r3_lattices(A,E,D)))))))))) <-> -v3_struct_0(A) & v10_lattices(A) & v1_lattice2(A) & l3_lattices(A)))) # label(t84_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9209 (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) & v1_funct_2(D,B,u1_struct_0(A)) & m2_relset_1(D,B,u1_struct_0(A)) -> (all E (v1_funct_1(E) & v1_funct_2(E,B,u1_struct_0(A)) & m2_relset_1(E,B,u1_struct_0(A)) -> (k2_partfun1(B,u1_struct_0(A),D,C) = k2_partfun1(B,u1_struct_0(A),E,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].
119.28/118.93	9210 (all A (l2_lattices(A) & v4_lattices(A) & -v3_struct_0(A) -> v1_relat_1(u2_lattices(A)) & v1_funct_2(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_partfun1(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(fc2_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9211 (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].
119.28/118.93	9212 (all A (l3_lattices(A) & v14_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> k3_binop_1(u1_struct_0(A),u1_lattices(A)) = k6_lattices(A))) # label(t74_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	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 (m1_subset_1(C,u1_struct_0(A)) -> C = k3_lattices(A,B,C))) -> k5_lattices(A) = B))))) # label(t21_lattice2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9214 (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_4(B,k1_finsop_1(u1_struct_0(B),A,C)) = k6_group_1(B,A,C))))))) # label(t15_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9215 (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_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].
119.28/118.93	9216 $T # label(t36_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9217 (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_group_1(A) & v4_group_1(A) & v7_group_1(A) & l1_group_1(A) & v2_funct_1(B) & k2_relat_1(B) = k2_relat_1(C) & v2_funct_1(C) & -v3_struct_0(A) -> k3_group_4(A,B) = k3_group_4(A,C)))))))) # label(t19_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9218 $T # label(t97_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	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) -> (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].
119.28/118.93	9220 $T # label(t51_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9221 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> k5_group_2(A) = k5_lattices(k11_group_4(A)))) # label(t98_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9222 (all A all B all C (m1_finseq_1(B,A) & -v1_xboole_0(A) -> k1_finseq_3(B,C) = k1_group_4(A,B,C))) # label(redefinition_k1_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9223 $T # label(t47_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9224 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> v1_funct_1(k10_group_4(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_2(k10_group_4(A),k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)))) # label(dt_k10_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9225 $T # label(t49_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9226 $T # label(t23_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9227 (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) -> (v2_group_4(B,A) <-> (all C (v1_group_1(C) & m1_group_2(C,A) -> (m1_group_2(B,C) -> g1_group_1(u1_struct_0(B),u1_group_1(B)) = C | g1_group_1(u1_struct_0(A),u1_group_1(A)) = C))) & g1_group_1(u1_struct_0(A),u1_group_1(A)) != g1_group_1(u1_struct_0(B),u1_group_1(B))))))) # label(d7_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9228 (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))) -> 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].
119.28/118.93	9229 (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].
119.28/118.93	9230 (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))) -> ((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)))) <-> r1_rlvect_1(k5_group_4(A,C),B)))))))) # label(t37_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9231 (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)) -> 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].
119.28/118.93	9232 (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) -> -v2_group_4(C,A))) -> r1_rlvect_1(k6_group_4(A),B)))))) # label(t53_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9233 $T # label(t91_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9234 $T # label(t2_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9235 (all A (-v3_struct_0(A) & v2_group_1(A) & l1_group_1(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,k3_group_4(A,B),C) = k3_group_4(A,k8_finseq_1(u1_struct_0(A),B,k12_finseq_1(u1_struct_0(A),C))))))))) # label(t9_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9236 (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_4(A,B,B),B))))) # label(t73_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9237 (all A (-v3_struct_0(A) & v2_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)) -> k3_group_4(A,k8_finseq_1(u1_struct_0(A),k12_finseq_1(u1_struct_0(A),C),B)) = k1_group_1(A,C,k3_group_4(A,B)))))))) # label(t10_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9238 (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) -> -v2_group_4(C,A))) -> (B = k6_group_4(A) <-> g1_group_1(u1_struct_0(A),u1_group_1(A)) = B)) & ((exists C (v2_group_4(C,A) & m1_group_2(C,A) & v1_group_1(C))) -> (k1_setfam_1(a_1_0_group_4(A)) = u1_struct_0(B) <-> B = k6_group_4(A))))))) # label(d8_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9239 (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) -> (k7_group_4(A,C,B) = k7_group_4(A,B,C) -> k7_group_4(A,B,C) = u1_struct_0(k8_group_4(A,B,C))))))))) # label(t69_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9240 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (v1_funct_1(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)) -> (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) -> (C = E & F = D -> 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].
119.28/118.93	9241 (exists A (v1_group_1(A) & p1_s1_group_4(A) & m1_group_2(A,f1_s1_group_4))) -> (exists A (v1_group_1(A) & k1_setfam_1(a_0_0_group_4) = u1_struct_0(A) & m1_group_2(A,f1_s1_group_4))) # label(s1_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9242 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> k9_group_4(A) = u2_lattices(k11_group_4(A)))) # label(t93_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9243 (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 (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].
119.28/118.93	9244 (all A all B (l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> ((exists C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & C = A & (exists D (v2_group_4(D,B) & C = u1_struct_0(D) & m1_group_2(D,B) & v1_group_1(D))))) <-> r2_hidden(A,a_1_0_group_4(B))))) # label(fraenkel_a_1_0_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9245 (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 <-> k3_finseq_1(D) = k3_finseq_1(C) & (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (r2_hidden(E,k4_finseq_1(C)) -> 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)) = k1_funct_1(D,E))))))))))))) # label(d4_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9246 (all A all B all C (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & m1_group_2(B,A) & m1_group_2(C,A) & v3_group_1(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].
119.28/118.93	9247 (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_group_2(D,B) -> (all E (m1_subset_1(E,u1_struct_0(D)) -> (C = E -> k6_group_1(D,A,E) = k6_group_1(B,A,C)))))))))))) # label(t3_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9248 (all A (l1_group_1(A) & -v3_struct_0(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].
119.28/118.93	9249 (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) -> (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & v7_group_1(A) & l1_group_1(A) -> k7_group_4(A,B,C) = k7_group_4(A,C,B)))))))) # label(t65_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9250 $T # label(t87_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9251 (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) -> 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].
119.28/118.93	9252 (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].
119.28/118.93	9253 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(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)) -> ((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) -> (C = E & D = F -> k2_binop_1(k1_group_3(A),k1_group_3(A),k1_group_3(A),B,C,D) = k8_group_4(A,E,F)))))))))) <-> B = k9_group_4(A)))))) # label(d11_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9254 (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)) -> (l1_group_1(A) & v7_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all D (v1_funct_2(D,k4_finseq_1(B),k4_finseq_1(B)) & 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_1(D) -> (k5_relat_1(D,B) = C -> k3_group_4(A,B) = k3_group_4(A,C))))))))))) # label(t18_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9255 (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) -> 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].
119.28/118.93	9256 $T # label(t7_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9257 (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 (-v3_struct_0(C) & v4_group_1(C) & l1_group_1(C) & v3_group_1(C) -> ((exists D (m1_group_2(D,C) & v2_group_4(D,C) & v1_group_1(D))) -> ((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].
119.28/118.93	9258 $T # label(t34_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9259 (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 (v1_group_1(D) & m1_group_2(D,A) -> (m1_group_2(C,D) & m1_group_2(B,D) -> m1_group_2(k8_group_4(A,B,C),D)))))))))) # label(t81_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	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)) -> (k3_finseq_1(B) = k3_finseq_1(C) & (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r2_hidden(D,k4_finseq_1(B)) -> k3_group_1(A,k4_finseq_4(k5_numbers,u1_struct_0(A),B,D)) = k1_funct_1(C,k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(B),D),np__1))))) -> k3_group_4(A,B) = k3_group_1(A,k3_group_4(A,C))))))))) # label(t17_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9261 (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)) -> k3_group_4(A,B) = k3_group_4(A,k1_group_4(u1_struct_0(A),B,k6_domain_1(u1_struct_0(A),k2_group_1(A)))))))) # label(t16_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9262 (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].
119.28/118.93	9263 (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) -> (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].
119.28/118.93	9264 (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,k8_group_4(A,C,B)),C))))))) # label(t85_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9265 (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 (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].
119.28/118.93	9266 (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) -> (v2_group_4(B,A) -> m1_group_2(k6_group_4(A),B)))))) # label(t54_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9267 (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(B,k8_group_4(A,B,C)) & m1_group_2(C,k8_group_4(A,B,C)))))))) # label(t78_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9268 $T # label(t35_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9269 (exists A ((all B (m1_group_2(B,f1_s2_group_4) & v1_group_1(B) -> (r2_hidden(B,A) <-> p1_s2_group_4(B)))) & r1_tarski(A,k1_group_3(f1_s2_group_4)))) # label(s2_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9270 (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) & m1_group_2(C,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].
119.28/118.93	9271 (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) -> k10_group_2(A,D,k7_group_4(A,B,C)) = k11_group_2(A,B,k7_group_4(A,C,D)))))))))) # label(t59_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9272 $T # label(t90_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9273 (all A (v1_int_1(A) -> k2_group_4(A) = A)) # label(d2_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9274 $T # label(t50_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9275 (all A all B (-v3_struct_0(A) & l1_group_1(A) & m1_finseq_1(B,u1_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].
119.28/118.93	9276 (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) & v1_group_1(C) -> 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].
119.28/118.93	9277 (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) & v1_group_1(C) -> (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].
119.28/118.93	9278 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> k1_group_3(A) = u1_struct_0(k11_group_4(A)))) # label(t92_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9279 (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) & v1_group_3(B,A) -> (all C (m1_group_2(C,A) & v1_group_3(C,A) & v1_group_1(C) -> k7_group_4(A,B,C) = u1_struct_0(k8_group_4(A,B,C)))))))) # label(t71_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9280 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> v1_funct_1(k9_group_4(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)))) # label(dt_k9_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9281 (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].
119.28/118.93	9282 (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)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (all D (m2_finseq_1(D,u1_struct_0(A)) -> (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & k3_finseq_1(C) = k3_finseq_1(B) & (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (r2_hidden(E,k4_finseq_1(B)) -> k1_funct_1(B,E) = 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))))) & k3_finseq_1(B) = k3_finseq_1(D) & v7_group_1(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].
119.28/118.93	9283 (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 (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(D) = k3_finseq_1(B) & k3_finseq_1(C) = k3_finseq_1(E) -> k4_group_4(A,k8_finseq_1(k4_numbers,D,E),k8_finseq_1(u1_struct_0(A),B,C)) = k8_finseq_1(u1_struct_0(A),k4_group_4(A,D,B),k4_group_4(A,E,C))))))))))))) # label(t25_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9284 (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_group_2(D,B) -> (all E (m1_subset_1(E,u1_struct_0(D)) -> (E = C -> k6_group_1(B,A,C) = k6_group_1(D,A,E)))))))))))) # label(t4_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9285 (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 (m2_finseq_1(C,k4_numbers) -> (k3_finseq_1(C) = A -> k1_finsop_1(u1_struct_0(B),A,k2_group_1(B)) = k4_group_4(B,C,k1_finsop_1(u1_struct_0(B),A,k2_group_1(B)))))))))) # label(t33_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9286 (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)) -> B = k4_group_4(A,k1_finsop_1(k4_numbers,k3_finseq_1(B),k2_group_4(np__1)),B))))) # label(t31_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9287 (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) -> 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].
119.28/118.93	9288 (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) -> (r1_rlvect_1(k8_group_4(A,C,D),B) <-> (exists E ((exists F (m2_finseq_1(F,k4_numbers) & k3_group_4(A,k4_group_4(A,F,E)) = B & 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(E) = k3_finseq_1(F))) & m2_finseq_1(E,u1_struct_0(A))))))))))))) # label(t67_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9289 $T # label(t95_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9290 (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_1(C) & m1_group_2(C,A) -> (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].
119.28/118.93	9291 (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) -> 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].
119.28/118.93	9292 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> u1_struct_0(k6_group_4(A)) = a_1_1_group_4(A))) # label(t55_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9293 (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) & v1_group_3(B,A) -> (all C (v1_group_1(C) & v1_group_3(C,A) & m1_group_2(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].
119.28/118.93	9294 (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) & v3_group_1(A) & l1_group_1(A) & v7_group_1(A) & v4_group_1(A) -> k7_group_4(A,B,C) = u1_struct_0(k8_group_4(A,B,C))))))))) # label(t70_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	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) -> 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].
119.28/118.93	9296 $T # label(t22_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9297 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> l3_lattices(k11_group_4(A)) & v10_lattices(k11_group_4(A)) & v3_lattices(k11_group_4(A)) & -v3_struct_0(k11_group_4(A)))) # label(dt_k11_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9298 (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))) -> (r2_hidden(B,C) -> r1_rlvect_1(k5_group_4(A,C),B)))))))) # label(t38_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9299 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> k10_group_4(A) = u1_lattices(k11_group_4(A)))) # label(t94_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9300 (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) -> 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].
119.28/118.93	9301 (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 (v1_group_1(C) & m1_group_2(C,A) -> (r1_group_2(A,k8_group_4(A,B,C),C) <-> r1_group_2(A,k9_group_2(A,B,C),B)))))))) # label(t86_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9302 (all A (r2_hidden(A,a_0_0_group_4) <-> (exists B ((exists C (v1_group_1(C) & m1_group_2(C,f1_s1_group_4) & p1_s1_group_4(C) & u1_struct_0(C) = B)) & A = B & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(f1_s1_group_4))))))) # label(fraenkel_a_0_0_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9303 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(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].
119.28/118.93	9304 (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 (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].
119.28/118.93	9305 (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].
119.28/118.93	9306 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> -v3_struct_0(k11_group_4(A)) & v5_lattices(k11_group_4(A)) & v7_lattices(k11_group_4(A)) & v9_lattices(k11_group_4(A)) & v10_lattices(k11_group_4(A)) & v15_lattices(k11_group_4(A)) & v14_lattices(k11_group_4(A)) & v13_lattices(k11_group_4(A)) & v8_lattices(k11_group_4(A)) & v6_lattices(k11_group_4(A)) & v4_lattices(k11_group_4(A)) & v3_lattices(k11_group_4(A)))) # label(fc1_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9307 (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))) -> (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].
119.28/118.93	9308 $T # label(t45_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9309 (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) -> k11_group_2(A,B,k7_group_2(A,C)) = k7_group_4(A,B,C) & k7_group_4(A,B,C) = k10_group_2(A,C,k7_group_2(A,B)) & 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].
119.28/118.93	9310 (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_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].
119.28/118.93	9311 (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(B,k8_group_4(A,C,D))))))))))) # label(t80_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9312 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(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].
119.28/118.93	9313 (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) -> (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].
119.28/118.93	9314 $T # label(t96_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9315 (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 (m2_finseq_1(C,u1_struct_0(A)) -> k3_group_4(A,k8_finseq_1(u1_struct_0(A),B,C)) = k1_group_1(A,k3_group_4(A,B),k3_group_4(A,C)))))))) # label(t8_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9316 (all A (v3_group_1(A) & v4_group_1(A) & l1_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].
119.28/118.93	9317 (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].
119.28/118.93	9318 $T # label(d1_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9319 $T # label(t66_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9320 (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].
119.28/118.93	9321 (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))) -> 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].
119.28/118.93	9322 (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)) -> ((exists C (g1_group_1(u1_struct_0(A),u1_group_1(A)) != k5_group_4(A,k6_subset_1(u1_struct_0(A),C,k6_domain_1(u1_struct_0(A),B))) & k5_group_4(A,C) = g1_group_1(u1_struct_0(A),u1_group_1(A)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))))) <-> v1_group_4(B,A)))))) # label(d6_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9323 (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) -> v1_group_1(k5_group_4(A,B)) & m1_group_2(k5_group_4(A,B),A))) # label(dt_k5_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9324 $T # label(t88_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9325 $T # label(t24_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9326 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (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)) -> (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].
119.28/118.93	9327 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> m1_group_2(k6_group_4(A),A) & v1_group_1(k6_group_4(A)))) # label(dt_k6_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9328 (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,B,k1_group_1(A,C,D)) = k3_group_4(A,k8_rlvect_1(A,B,C,D)) & k3_group_4(A,k8_rlvect_1(A,B,C,D)) = k1_group_1(A,k1_group_1(A,B,C),D))))))))) # label(t14_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9329 (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)) -> k4_group_4(B,k12_finseq_1(k4_numbers,k2_group_4(A)),k12_finseq_1(u1_struct_0(B),C)) = k12_finseq_1(u1_struct_0(B),k6_group_1(B,A,C)))))))) # label(t28_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.93	9330 (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))) -> u1_struct_0(k5_group_4(A,B)) = k1_setfam_1(a_2_0_group_4(A,B)))))) # label(t43_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9331 $T # label(t89_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9332 (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) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (v2_group_4(B,A) -> 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 | r1_rlvect_1(B,C)))))))) # label(t48_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9333 (all A all B all C (-v1_xboole_0(A) & m1_finseq_1(B,A) -> m2_finseq_1(k1_group_4(A,B,C),A))) # label(dt_k1_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9334 (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))) & (exists E (m1_group_2(E,B) & r1_tarski(C,k7_group_2(B,E)) & D = u1_struct_0(E) & v1_group_1(E))) & A = D))))) # label(fraenkel_a_2_0_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9335 (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) = k3_group_4(A,k7_rlvect_1(A,B,C)))))))) # label(t13_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9336 $T # label(t1_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9337 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_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].
119.28/118.94	9338 (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 (v1_group_1(C) & m1_group_2(C,A) -> ((all D (m1_group_2(D,A) & v1_group_1(D) -> (r1_tarski(B,u1_struct_0(D)) -> m1_group_2(C,D)))) & r1_tarski(B,u1_struct_0(C)) <-> C = k5_group_4(A,B)))))))) # label(d5_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9339 (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].
119.28/118.94	9340 (all A all B (v1_group_1(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & -v3_struct_0(B) -> (r2_hidden(A,a_1_1_group_4(B)) <-> (exists C (C = A & -v1_group_4(C,B) & m1_subset_1(C,u1_struct_0(B))))))) # label(fraenkel_a_1_1_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9341 (all A all B all C (v3_group_1(A) & m1_finseq_1(B,k4_numbers) & m1_finseq_1(C,u1_struct_0(A)) & 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].
119.28/118.94	9342 (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) -> 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].
119.28/118.94	9343 (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_4(A,B,B) = k7_group_2(A,B))))) # label(t58_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9344 (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) -> r1_group_2(A,k5_group_4(A,k7_group_2(A,B)),B))))) # label(t40_group_4) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9345 (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_connsp_2(A,B) <-> (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))))))))) # label(t20_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9346 (all A all B (v2_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_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].
119.28/118.94	9347 $T # label(t17_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9348 (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(D,A,B) & m1_connsp_2(C,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].
119.28/118.94	9349 $T # label(t16_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9350 (all A (v2_pre_topc(A) & l1_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].
119.28/118.94	9351 (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))) -> ((exists D (v3_pre_topc(D,A) & r1_tarski(D,C) & r2_hidden(B,D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))))) <-> m1_connsp_2(C,A,B)))))))) # label(t8_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9352 (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].
119.28/118.94	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(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) <-> v4_pre_topc(D,A) & r2_hidden(B,D) & v3_pre_topc(D,A))))))))))) # label(t28_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9354 (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))) -> (C = k1_connsp_2(A,B) <-> (exists D (k6_setfam_1(u1_struct_0(A),D) = C & (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(E,D) <-> r2_hidden(B,E) & v4_pre_topc(E,A) & v3_pre_topc(E,A)))) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))))))))))) # label(d7_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9355 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v2_connsp_2(B,A) <-> v1_connsp_2(k3_pre_topc(A,B))))))) # label(d6_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9356 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (v1_connsp_2(A) & v5_compts_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))) -> -(v4_pre_topc(B,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(E,A) & v3_pre_topc(D,A) & r1_tarski(C,E) & r1_xboole_0(D,E) & r1_tarski(B,D) & v3_pre_topc(E,A) & v2_connsp_1(D,A)))))) & v2_connsp_1(C,A) & v2_connsp_1(B,A) & r1_xboole_0(B,C) & v4_pre_topc(C,A) & k1_xboole_0 != C & k1_xboole_0 != B)))))))) # label(t27_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9357 $T # label(t15_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9358 (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].
119.28/118.94	9359 (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))) -> (m1_connsp_2(k5_subset_1(u1_struct_0(A),C,D),A,B) <-> m1_connsp_2(C,A,B) & m1_connsp_2(D,A,B)))))))))) # label(t4_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9360 (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) -> -(v3_pre_topc(D,A) & r1_tarski(D,C) & m1_connsp_2(D,A,B))))))))))) # label(t7_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9361 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(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(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) & k5_subset_1(u1_struct_0(A),B,D) = C & v2_connsp_1(D,A)))))))))))) # label(t25_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9362 (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_connsp_2(A,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(A))) -> (r2_hidden(B,D) & r4_connsp_1(A,C,D) & m1_connsp_2(C,A,B) -> m1_connsp_2(D,A,B))))))))))) # label(t19_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9363 (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) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(m1_connsp_2(D,A,B) & v2_connsp_1(D,A) & r1_tarski(D,C))))))) <-> r1_connsp_2(A,B)))))) # label(d3_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9364 (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))) -> (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].
119.28/118.94	9365 (all A all B (v2_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(A) -> (exists C m2_connsp_2(C,A,B)))) # label(existence_m2_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9366 (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_tarski(k1_connsp_1(A,B),k1_connsp_2(A,B)))))) # label(t33_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9367 (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,u1_struct_0(A)) -> (m1_connsp_2(B,A,C) -> r2_hidden(C,B)))))))) # label(t6_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9368 (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].
119.28/118.94	9369 (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))) -> (r2_hidden(B,k1_tops_1(A,C)) <-> m1_connsp_2(C,A,B)))))))) # label(d1_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9370 (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)) -> (m1_connsp_2(D,k3_pre_topc(A,B),C) & C = F & E = D & v3_pre_topc(B,A) -> m1_connsp_2(E,A,F)))))))))))))) # label(t11_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9371 (all A all B (-v3_struct_0(A) & v2_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & l1_pre_topc(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].
119.28/118.94	9372 $T # label(t29_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9373 (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))) -> -(B = D & (all E (m1_subset_1(E,u1_struct_0(k3_pre_topc(A,D))) -> -(E = C & r1_connsp_2(k3_pre_topc(A,D),E)))))))))))))) # label(d5_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9374 (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))) & -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)) -> (E = D & C = F & 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].
119.28/118.94	9375 (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))) -> (r1_tarski(B,C) & r3_connsp_1(A,B) -> r4_connsp_1(A,C,B)))))))) # label(t13_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9376 (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].
119.28/118.94	9377 (all A all B (-v3_struct_0(A) & v2_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & l1_pre_topc(A) -> (exists C m1_connsp_2(C,A,B)))) # label(existence_m1_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9378 $T # label(t2_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9379 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (v5_compts_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 & r1_tarski(B,C) & v4_pre_topc(B,A) & (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) & C != k2_pre_topc(A))))))))) # label(t26_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9380 (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].
119.28/118.94	9381 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (v1_connsp_2(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> r1_connsp_2(A,B)))))) # label(d4_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9382 (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))) -> (r2_hidden(B,C) & r1_tarski(C,k1_connsp_2(A,B)) & v4_pre_topc(C,A) & v3_pre_topc(C,A) -> C = k1_connsp_2(A,B)))))))) # label(t31_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9383 (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(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (C = D -> r1_tarski(k1_connsp_1(B,D),k1_connsp_1(A,C))))))))))) # label(t14_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9384 (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))) & -v1_xboole_0(B) -> (v3_pre_topc(B,A) -> v2_connsp_2(B,A))))))) # label(t23_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	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))) -> (v3_pre_topc(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> -((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(m1_connsp_2(D,A,C) & r1_tarski(D,B)))) & r2_hidden(C,B))))))))) # label(t9_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9386 (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) -> (r2_hidden(B,C) & v3_pre_topc(C,A) -> r2_connsp_2(A,C,B))))))))) # label(t22_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9387 $T # label(t18_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9388 $T # label(t1_connsp_2) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9389 (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].
119.28/118.94	9390 $T # label(t33_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9391 $T # label(t1_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9392 $T # label(t27_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9393 $T # label(t15_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9394 $T # label(t22_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9395 $T # label(t32_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9396 (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 (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(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> k6_rlvect_1(B,E,k6_vectsp_2(A,B,C,D)) = k2_rlvect_1(B,E,k6_vectsp_2(A,B,k5_rlvect_1(A,C),D)) & k5_rlvect_1(B,k6_vectsp_2(A,B,C,D)) = k6_vectsp_2(A,B,k5_rlvect_1(A,C),D))))))))))) # label(t38_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9397 $T # label(t34_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9398 $T # label(t28_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9399 $T # label(t6_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9400 $T # label(t8_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9401 (all 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) & 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) -> (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_2(A,B,C,D)) = k6_vectsp_2(A,B,C,k5_rlvect_1(B,D)))))))))) # label(t39_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9402 $T # label(t41_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9403 $T # label(t36_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9404 $T # label(t11_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9405 (all A (v4_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) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v3_struct_0(C) & v12_vectsp_1(C,A) & l4_vectsp_1(C,A) & v6_rlvect_1(C) & v5_rlvect_1(C) & v4_rlvect_1(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].
119.28/118.94	9406 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_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 (-v3_struct_0(C) & l4_vectsp_1(C,A) & v12_vectsp_1(C,A) & v6_rlvect_1(C) & v5_rlvect_1(C) & v4_rlvect_1(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (k1_rlvect_1(C) = D | B = k1_rlvect_1(A) <-> k1_rlvect_1(C) = k6_vectsp_1(A,C,B,D)))))))))) # label(t25_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9407 (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_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) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> k1_rlvect_1(B) = k6_vectsp_2(A,B,k1_rlvect_1(A),D) & k5_rlvect_1(B,D) = k6_vectsp_2(A,B,k5_rlvect_1(A,k2_group_1(A)),D) & k1_rlvect_1(B) = k6_vectsp_2(A,B,C,k1_rlvect_1(B)))))))))) # label(t37_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9408 $T # label(t31_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9409 $T # label(t3_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9410 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v4_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v4_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].
119.28/118.94	9411 $T # label(t23_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9412 $T # label(t4_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9413 $T # label(t7_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9414 (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) & 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,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_rlvect_1(B,k6_vectsp_2(A,B,C,D),k6_vectsp_2(A,B,C,E)) = k6_vectsp_2(A,B,C,k6_rlvect_1(B,D,E)))))))))))) # label(t40_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9415 $T # label(t24_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9416 (all A (-v3_struct_0(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k5_rlvect_1(A,B) = k1_group_1(A,k5_rlvect_1(A,k2_group_1(A)),B))))) # label(t14_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9417 $T # label(t18_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9418 $T # label(t9_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9419 $T # label(t20_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9420 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_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) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v3_struct_0(C) & v5_rlvect_1(C) & v5_vectsp_2(C,A) & l1_vectsp_2(C,A) & v6_rlvect_1(C) & v4_rlvect_1(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (k1_rlvect_1(C) = k6_vectsp_2(A,C,B,D) <-> D = k1_rlvect_1(C) | B = k1_rlvect_1(A)))))))))) # label(t42_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9421 $T # label(t29_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9422 $T # label(t19_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.28/118.94	9423 $T # label(t30_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.35/118.94	9424 $T # label(t17_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.35/118.94	9425 $T # label(t35_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.35/118.94	9426 $T # label(t5_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.35/118.94	9427 $T # label(t10_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.35/118.94	9428 $T # label(t21_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.35/118.94	9429 (all A (v4_group_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) & 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 (v4_rlvect_1(C) & v6_rlvect_1(C) & v5_vectsp_2(C,A) & l1_vectsp_2(C,A) & v5_rlvect_1(C) & -v3_struct_0(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (k1_rlvect_1(A) != B -> 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].
119.35/118.94	9430 $T # label(t12_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.35/118.94	9431 $T # label(t2_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.35/118.94	9432 $T # label(t16_mod_1) # label(axiom) # label(non_clause).  [assumption].
119.35/118.94	9433 (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 (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_rmod_2(D,A,B) -> k1_rlvect_1(D) = k1_rlvect_1(C))))))))) # label(t20_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.94	9434 (all 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_rlvect_1(A) & -v3_struct_0(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)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> (r1_rlvect_1(E,C) <-> r2_hidden(k4_rlvect_1(B,C,D),k3_rmod_2(A,B,D,E))))))))))))) # label(t72_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.94	9435 (all A (-v3_struct_0(A) & v3_rlvect_1(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) -> (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 (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 (m1_subset_1(E,u1_struct_0(B)) -> (r1_rlvect_1(C,E) <-> r1_rlvect_1(D,E)))) -> C = D))))))))) # label(t38_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.94	9436 $T # label(t14_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.94	9437 $T # label(t13_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.94	9438 (all A all B all C (-v3_struct_0(A) & v5_vectsp_2(B,A) & m1_rmod_2(C,A,B) & 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) & 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 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].
119.35/118.94	9439 (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) & 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) & 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,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].
119.35/118.94	9440 (all A all B (-v3_struct_0(B) & v3_rlvect_1(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) & v8_vectsp_1(B) & l3_vectsp_1(B) -> (all C (-v3_struct_0(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) -> (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].
119.35/118.94	9441 (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) & 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_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].
119.35/118.94	9442 (all A all B all C all D all E (-v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v4_group_1(B) & v6_vectsp_1(B) & l3_vectsp_1(B) & v3_rlvect_1(C) & v6_rlvect_1(C) & v5_vectsp_2(C,B) & l1_vectsp_2(C,B) & m1_subset_1(D,u1_struct_0(C)) & m1_rmod_2(E,B,C) & v5_rlvect_1(C) & v4_rlvect_1(C) & -v3_struct_0(C) & v8_vectsp_1(B) & v7_vectsp_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (r2_hidden(A,a_4_1_rmod_2(B,C,D,E)) <-> (exists F (m1_subset_1(F,u1_struct_0(C)) & A = k4_rlvect_1(C,D,F) & r1_rlvect_1(E,F)))))) # label(fraenkel_a_4_1_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.94	9443 (all A (v3_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) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-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) -> (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].
119.35/118.94	9444 (all 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) & -v3_struct_0(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_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].
119.35/118.94	9445 (all 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) & 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_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,k4_rlvect_1(B,D,C),E) = k3_rmod_2(A,B,D,E) <-> r1_rlvect_1(E,C)))))))))))) # label(t66_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.94	9446 $T # label(t44_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.94	9447 (all A (-v3_struct_0(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) -> (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,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 (m1_subset_1(F,u1_struct_0(B)) & r2_hidden(C,k3_rmod_2(A,B,F,E)) & r2_hidden(D,k3_rmod_2(A,B,F,E))))))))))))))) # label(t76_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.94	9448 (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_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 (v3_vectsp_2(C,A) & m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) & v3_vectsp_2(D,A) -> (all E (m2_rmod_2(E,A,B,C) -> (all F (m2_rmod_2(F,A,B,D) -> (E = F -> D = C))))))))))))) # label(t83_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.94	9449 $T # label(t45_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.94	9450 $T # label(t12_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.94	9451 (all 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) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v5_vectsp_2(C,A) & l1_vectsp_2(C,A) & 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) -> k3_rmod_2(A,C,k6_vectsp_2(A,C,B,D),E) = u1_struct_0(E)))))))))))) # label(t65_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.94	9452 (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_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) -> (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].
119.35/118.94	9453 (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 (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_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].
119.35/118.94	9454 (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_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) & v3_vectsp_2(C,A) -> (k1_rmod_2(A,B) = C <-> 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].
119.35/118.94	9455 (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_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,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].
119.35/118.94	9456 (all A (-v3_struct_0(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_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_rmod_2(C,A,B) & v3_vectsp_2(C,A) -> (all D (v3_vectsp_2(D,A) & m1_rmod_2(D,A,B) -> (u1_struct_0(C) = u1_struct_0(D) -> D = C))))))))) # label(t37_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9457 $T # label(t43_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9458 (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 (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) -> 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].
119.35/118.95	9459 (all A (v3_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) & 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) -> u1_struct_0(C) = k3_rmod_2(A,B,k1_rlvect_1(B),C))))))) # label(t60_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9460 $T # label(t3_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9461 (all A (-v3_struct_0(A) & v4_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) & v5_rlvect_1(A) & v3_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) -> m2_rmod_2(u1_struct_0(B),A,B,k2_rmod_2(A,B)))))) # label(t87_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9462 (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) & v6_vectsp_1(A) & v5_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_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].
119.35/118.95	9463 (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_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_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (m2_rmod_2(C,A,B,k2_rmod_2(A,B)) -> u1_struct_0(B) = C))))))) # label(t88_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9464 (all A (-v3_struct_0(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) & 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) -> (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)) -> (F = C & D = G -> k6_rlvect_1(E,F,G) = k6_rlvect_1(B,C,D)))))))))))))))) # label(t24_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9465 (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) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_group_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_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].
119.35/118.95	9466 (all A (-v3_struct_0(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) -> (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)) -> 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].
119.35/118.95	9467 (all A (v3_rlvect_1(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_struct_0(A) -> (all 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) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (v3_vectsp_2(C,A) & m1_rmod_2(C,A,B) -> ((all D (m1_subset_1(D,u1_struct_0(B)) -> r1_rlvect_1(C,D))) -> B = C))))))) # label(t40_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9468 (all 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_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_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].
119.35/118.95	9469 (all A all B (v3_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & 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) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> m1_rmod_2(k1_rmod_2(A,B),A,B) & v3_vectsp_2(k1_rmod_2(A,B),A))) # label(dt_k1_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9470 (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) & v6_vectsp_1(A) & v5_rlvect_1(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_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].
119.35/118.95	9471 (all A (-v3_struct_0(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) -> (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_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_rmod_2(C,A,B) & a_4_0_rmod_2(A,B,C,D) = E & v1_rmod_2(D,A,B) -> v1_rmod_2(E,A,B)))))))))))) # label(t9_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9472 (all A all B all C all D (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & m1_rmod_2(D,A,B) & m1_subset_1(C,u1_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) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(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].
119.35/118.95	9473 (all A (-v3_struct_0(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) -> (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,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)) <-> k3_rmod_2(A,B,C,D) = u1_struct_0(D)))))))))) # label(t63_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9474 (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 (-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))) -> (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].
119.35/118.95	9475 (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_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_rmod_2(C,A,B) -> k1_rlvect_1(C) = k1_rlvect_1(B))))))) # label(t19_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9476 (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 (m1_subset_1(B,u1_struct_0(A)) -> (all C (v3_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v5_vectsp_2(C,A) & l1_vectsp_2(C,A) & v4_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) -> 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].
119.35/118.95	9477 (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_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,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].
119.35/118.95	9478 (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 (-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)) -> 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].
119.35/118.95	9479 (all A (v3_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) & v4_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) -> m2_rmod_2(u1_struct_0(C),A,B,C))))))) # label(t86_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9480 (all A all B (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & 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) & 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_vectsp_2(k2_rmod_2(A,B),A) & m1_rmod_2(k2_rmod_2(A,B),A,B))) # label(dt_k2_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9481 (all A (-v3_struct_0(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) -> (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) -> m1_rmod_2(B,A,B))))) # label(t32_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9482 (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 (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v3_struct_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_vectsp_2(C,A) & l1_vectsp_2(C,A) & v6_rlvect_1(C) & v5_rlvect_1(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,C,B,D) = k6_vectsp_2(A,E,B,F)))))))))))))) # label(t22_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9483 (all A (-v3_struct_0(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) -> (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_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].
119.35/118.95	9484 (all 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) & -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_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].
119.35/118.95	9485 (all 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_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) -> g1_vectsp_2(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u1_vectsp_2(A,B)) = k2_rmod_2(A,B))))) # label(d4_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9486 (all A all B all C all D all E (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v4_group_1(B) & v6_vectsp_1(B) & -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) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) & l1_vectsp_2(C,B) & l3_vectsp_1(B) & v8_vectsp_1(B) & v7_vectsp_1(B) & v6_rlvect_1(B) & v3_rlvect_1(B) -> (r2_hidden(A,a_4_0_rmod_2(B,C,D,E)) <-> (exists F exists G (m1_subset_1(F,u1_struct_0(C)) & m1_subset_1(G,u1_struct_0(C)) & k4_rlvect_1(C,F,G) = A & r2_hidden(F,D) & r2_hidden(G,E)))))) # label(fraenkel_a_4_0_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9487 (all A all B (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_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) & l3_vectsp_1(A) & v6_vectsp_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all C (m1_rmod_2(C,A,B) -> v3_rlvect_1(C) & l1_vectsp_2(C,A) & v5_vectsp_2(C,A) & v6_rlvect_1(C) & v5_rlvect_1(C) & v4_rlvect_1(C) & -v3_struct_0(C))))) # label(dt_m1_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9488 (all A all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & v4_group_1(B) & v6_vectsp_1(B) & v7_vectsp_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (v6_rlvect_1(C) & l1_vectsp_2(C,B) & v5_vectsp_2(C,B) & 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,B,C) -> (r2_hidden(A,k3_rmod_2(B,C,D,E)) <-> (exists F (r1_rlvect_1(E,F) & A = k4_rlvect_1(C,D,F) & m1_subset_1(F,u1_struct_0(C))))))))))))) # label(t57_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9489 $T # label(t74_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9490 (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 (-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 (m1_rmod_2(E,A,B) -> (all F (m2_rmod_2(F,A,B,E) -> -(r2_hidden(C,F) & (all G (m1_subset_1(G,u1_struct_0(B)) -> -(D = k6_rlvect_1(B,C,G) & r1_rlvect_1(E,G)))) & r2_hidden(D,F)))))))))))))) # label(t92_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9491 (all A (v3_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) & v5_rlvect_1(A) & v4_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) -> r1_rlvect_1(B,k1_rlvect_1(C)))))))) # label(t27_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9492 (all A all B (-v3_struct_0(B) & v4_group_1(B) & v6_vectsp_1(B) & l3_vectsp_1(B) & v8_vectsp_1(B) & v7_vectsp_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (-v3_struct_0(C) & v3_rlvect_1(C) & v6_rlvect_1(C) & v5_vectsp_2(C,B) & l1_vectsp_2(C,B) & v5_rlvect_1(C) & v4_rlvect_1(C) -> (r1_rlvect_1(k1_rmod_2(B,C),A) <-> k1_rlvect_1(C) = A))))) # label(t46_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9493 $T # label(t2_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9494 (all 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) & -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)) -> k6_domain_1(u1_struct_0(B),C) = k3_rmod_2(A,B,C,k1_rmod_2(A,B)))))))) # label(t61_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9495 (all A (-v3_struct_0(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) & 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 (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].
119.35/118.95	9496 (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) & v6_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) & 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) -> (r2_hidden(C,k3_rmod_2(A,B,D,E)) <-> k3_rmod_2(A,B,D,E) = k3_rmod_2(A,B,C,E)))))))))))) # label(t68_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9497 (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) -> (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_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].
119.35/118.95	9498 (all 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_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_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].
119.35/118.95	9499 (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) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_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,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].
119.35/118.95	9500 (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) & 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)) -> (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)) -> (F = C & G = D -> k4_rlvect_1(E,F,G) = k4_rlvect_1(B,C,D)))))))))))))))) # label(t21_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9501 $T # label(t55_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9502 (all A (-v3_struct_0(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) & v3_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,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_rmod_2(D,A,B) -> (u1_struct_0(D) = C -> v1_rmod_2(C,A,B)))))))))) # label(t41_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9503 (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 (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v3_struct_0(C) & v3_rlvect_1(C) & l1_vectsp_2(C,A) & v5_vectsp_2(C,A) & v6_rlvect_1(C) & v5_rlvect_1(C) & v4_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) -> r1_rlvect_1(E,k6_vectsp_2(A,C,B,D))))))))))))) # label(t29_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9504 (all 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_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 (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,C,E) = k3_rmod_2(A,B,D,F) -> F = E))))))))))))) # label(t80_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9505 (all A (-v3_struct_0(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) & v3_rlvect_1(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_rmod_2(C,A,B) -> r1_rlvect_1(C,k1_rlvect_1(B)))))))) # label(t25_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9506 (all A all B (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & 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) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (exists C (-v3_struct_0(C) & v4_rlvect_1(C) & v5_vectsp_2(C,A) & v3_vectsp_2(C,A) & v6_rlvect_1(C) & v5_rlvect_1(C) & v3_rlvect_1(C) & m1_rmod_2(C,A,B))))) # label(rc1_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9507 (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) -> (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) -> (all E (m2_rmod_2(E,A,B,D) -> (all F (m2_rmod_2(F,A,B,D) -> (r2_hidden(C,E) & r2_hidden(C,F) -> E = F))))))))))))) # label(t94_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9508 (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_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) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) -> (all C (v3_rlvect_1(C) & v5_vectsp_2(C,A) & l1_vectsp_2(C,A) & v6_rlvect_1(C) & v5_rlvect_1(C) & v4_rlvect_1(C) & -v3_struct_0(C) -> (all D (v3_rlvect_1(D) & v6_rlvect_1(D) & l1_vectsp_2(D,A) & v5_vectsp_2(D,A) & v5_rlvect_1(D) & v4_rlvect_1(D) & -v3_struct_0(D) -> (m1_rmod_2(B,A,C) & m1_rmod_2(C,A,D) -> m1_rmod_2(B,A,D)))))))))) # label(t34_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9509 (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 (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,k1_zfmisc_1(u1_struct_0(B))) -> -(C != k1_xboole_0 & (all D (v3_vectsp_2(D,A) & m1_rmod_2(D,A,B) -> u1_struct_0(D) != C)) & v1_rmod_2(C,A,B)))))))) # label(t42_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9510 (all A all B (v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & -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) & l3_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (exists C m1_rmod_2(C,A,B)))) # label(existence_m1_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9511 (all A (-v3_struct_0(A) & v3_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) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v3_vectsp_2(B,A) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) -> (all C (-v3_struct_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v6_rlvect_1(C) & v3_vectsp_2(C,A) & l1_vectsp_2(C,A) & v5_vectsp_2(C,A) & v5_rlvect_1(C) -> (m1_rmod_2(C,A,B) & m1_rmod_2(B,A,C) -> C = B))))))) # label(t33_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9512 $T # label(t54_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9513 $T # label(t11_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9514 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_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) -> (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) -> -((all F (m1_subset_1(F,u1_struct_0(B)) -> -(k6_rlvect_1(B,C,F) = D & r1_rlvect_1(E,F)))) & k3_rmod_2(A,B,C,E) = k3_rmod_2(A,B,D,E)))))))))))) # label(t78_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9515 $T # label(t1_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9516 (all 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_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 (v3_vectsp_2(D,A) & m1_rmod_2(D,A,B) -> (all E (v3_vectsp_2(E,A) & m1_rmod_2(E,A,B) -> (k3_rmod_2(A,B,C,D) = k3_rmod_2(A,B,C,E) <-> D = E))))))))))) # label(t79_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9517 (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) & 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_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)) -> -(r1_rlvect_1(E,G) & D = k4_rlvect_1(B,C,G)))) & r2_hidden(C,F)))))))))))))) # label(t91_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9518 (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) & 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) -> r1_rlvect_1(D,k1_rlvect_1(C)))))))))) # label(t26_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9519 (all A all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_vectsp_1(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) -> (all C (-v3_struct_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_2(C,B) & v5_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].
119.35/118.95	9520 $T # label(t52_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9521 (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) & 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) -> (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].
119.35/118.95	9522 (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_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,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].
119.35/118.95	9523 $T # label(t15_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9524 (all A all B all C (v3_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(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & m1_rmod_2(C,A,B) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & -v3_struct_0(B) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_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].
119.35/118.95	9525 (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) & 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) -> (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].
119.35/118.95	9526 (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 (-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_rmod_2(C,A,B) -> (all D (m2_rmod_2(D,A,B,C) -> (v1_rmod_2(D,A,B) <-> u1_struct_0(C) = D))))))))) # label(t82_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9527 (all A (-v3_struct_0(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) -> (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) -> m1_rmod_2(k1_rmod_2(A,C),A,B))))))) # label(t49_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9528 (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) & 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) & 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_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,C,E) = k3_rmod_2(A,B,D,E)))))))))))) # label(t77_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9529 (all 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) & -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) -> k1_rmod_2(A,D) = k1_rmod_2(A,C))))))))) # label(t48_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9530 (all A (-v3_struct_0(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) -> (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_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (u1_struct_0(B) = C -> v1_rmod_2(C,A,B)))))))) # label(t8_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9531 (all A (-v3_struct_0(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) -> (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 (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 (r1_rlvect_1(E,F) & C = k6_rlvect_1(B,D,F) & m1_subset_1(F,u1_struct_0(B)))) <-> r2_hidden(C,k3_rmod_2(A,B,D,E))))))))))))) # label(t75_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9532 (all A (v4_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) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v3_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_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].
119.35/118.95	9533 $T # label(t56_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9534 (all A (-v3_struct_0(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) & v6_vectsp_1(A) & v4_group_1(A) & v4_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_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].
119.35/118.95	9535 (all A (-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) & v8_vectsp_1(A) & v6_rlvect_1(A) & v3_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_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].
119.35/118.95	9536 (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) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_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_rmod_2(C,A,B) -> k1_rmod_2(A,C) = k1_rmod_2(A,B))))))) # label(t47_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9537 (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 (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)) -> (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,k6_rlvect_1(B,D,C),E) <-> r1_rlvect_1(E,C)))))))))))) # label(t67_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9538 (all 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_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,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].
119.35/118.95	9539 (all A (v3_rlvect_1(A) & v4_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) & -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_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].
119.35/118.95	9540 (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 (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_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(C,F) & r2_hidden(D,F) & m2_rmod_2(F,A,B,E)))))))))))))) # label(t93_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.95	9541 (all A (-v3_struct_0(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) -> (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) -> (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].
119.35/118.95	9542 (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) & 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_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & l1_vectsp_2(C,A) & v5_vectsp_2(C,A) & -v3_struct_0(C) -> (m1_rmod_2(C,A,B) <-> r1_tarski(u1_struct_0(C),u1_struct_0(B)) & u2_struct_0(C) = u2_struct_0(B) & k7_relat_1(u1_vectsp_2(A,B),k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A))) = u1_vectsp_2(A,C) & k7_relat_1(u1_rlvect_1(B),k2_zfmisc_1(u1_struct_0(C),u1_struct_0(C))) = u1_rlvect_1(C)))))))) # label(d2_rmod_2) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9543 (all 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) & -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_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].
119.35/118.96	9544 (all A (-v3_struct_0(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) -> (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) -> -((exists E (u1_struct_0(E) = k2_xboole_0(u1_struct_0(C),u1_struct_0(D)) & m1_rmod_2(E,A,B))) & -m1_rmod_2(D,A,C) & -m1_rmod_2(C,A,D)) & -((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].
119.35/118.96	9545 $T # label(t45_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9546 (all A all B (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & l3_vectsp_1(A) & 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) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> -v1_xboole_0(k3_rmod_3(A,B)))) # label(fc1_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9547 (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_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_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_rmod_2(C,A,B) & v3_vectsp_2(C,A) -> (all D (v3_vectsp_2(D,A) & m1_rmod_2(D,A,B) -> (k1_rmod_3(A,B,C,D) = D <-> C = k2_rmod_3(A,B,C,D)))))))))) # label(t37_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9548 (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) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) -> (all B (-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) -> (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].
119.35/118.96	9549 $T # label(t62_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9550 $T # label(t4_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9551 (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) & v8_vectsp_1(A) & l3_vectsp_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_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) & v3_vectsp_2(D,A) -> (all E (v3_vectsp_2(E,A) & m1_rmod_2(E,A,B) -> (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].
119.35/118.96	9552 (all A (-v3_struct_0(A) & v3_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) & 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) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) -> (all C (m1_rmod_2(C,A,B) & v3_vectsp_2(C,A) -> k2_rmod_3(A,B,C,C) = C)))))) # label(t17_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9553 (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) & 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_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].
119.35/118.96	9554 (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 (-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 (C = k3_rmod_3(A,B) <-> (all D ((exists E (E = D & m1_rmod_2(E,A,B) & v3_vectsp_2(E,A))) <-> r2_hidden(D,C))))))))) # label(d3_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9555 (all A (-v3_struct_0(A) & v3_rlvect_1(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) -> (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_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].
119.35/118.96	9556 (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_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) -> -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))) & v10_lattices(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].
119.35/118.96	9557 (all A (-v3_struct_0(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) -> (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 (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) & E = k4_rlvect_1(B,F,G) & 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].
119.35/118.96	9558 $T # label(t2_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9559 $T # label(t54_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9560 (all A all B all C all D (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_rlvect_1(B) & v5_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) & 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) -> 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].
119.35/118.96	9561 (all A (v4_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) & 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) & v3_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) -> ((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) & r1_rlvect_1(D,G) & E = k4_rlvect_1(B,F,G))) & m1_subset_1(F,u1_struct_0(B)))))) <-> k1_rmod_3(A,B,C,D) = B))))))))) # label(t50_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9562 (all A all B all C all D (-v3_struct_0(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v3_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & m1_rmod_2(D,A,B) & m1_rmod_2(C,A,B) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(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].
119.35/118.96	9563 (all A all B all C all D all E (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & -v3_struct_0(B) & v4_rlvect_1(B) & v5_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) & v6_rlvect_1(B) & v3_rlvect_1(B) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v5_rlvect_1(A) & v4_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].
119.35/118.96	9564 (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 (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_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) -> (k3_xboole_0(u1_struct_0(C),u1_struct_0(D)) = u1_struct_0(E) <-> k2_rmod_3(A,B,C,D) = E))))))))))) # label(d2_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9565 (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) & 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 (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].
119.35/118.96	9566 (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_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) & v3_vectsp_2(B,A) -> 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].
119.35/118.96	9567 (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) & 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) -> 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].
119.35/118.96	9568 $T # label(dt_k3_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9569 (all A (-v3_struct_0(A) & v4_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) & v5_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_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].
119.35/118.96	9570 (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) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_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_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].
119.35/118.96	9571 $T # label(t1_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9572 (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 (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) & -v3_struct_0(B) -> r2_hidden(B,k3_rmod_3(A,B)))))) # label(t44_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9573 (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) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_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_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)) -> (r1_rlvect_1(C,F) & r1_rlvect_1(C,H) & r1_rlvect_1(D,G) & r1_rlvect_1(D,I) & E = k4_rlvect_1(B,H,I) & E = k4_rlvect_1(B,F,G) & r1_rmod_3(A,B,C,D) -> I = G & H = F))))))))))))))))))) # label(t51_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9574 (all A all B (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) & -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) & l3_vectsp_1(A) & v7_vectsp_1(A) & -v3_struct_0(A) -> v1_funct_1(k5_rmod_3(A,B)) & 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)))) # label(dt_k5_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9575 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_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) & v5_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) -> -v3_struct_0(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))) & v10_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].
119.35/118.96	9576 (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) & 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) -> (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].
119.35/118.96	9577 (all A (-v3_struct_0(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) -> (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_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) -> r1_rlvect_1(k1_rmod_3(A,B,C,D),E)))))))))))) # label(t6_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9578 (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 (-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 (m1_rmod_2(E,A,B) -> (m1_rmod_2(C,A,D) -> k2_rmod_3(A,B,k1_rmod_3(A,B,C,D),k1_rmod_3(A,B,D,E)) = k1_rmod_3(A,B,D,k2_rmod_3(A,B,C,E))))))))))))) # label(t35_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9579 (all 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_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 (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].
119.35/118.96	9580 (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) & 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) -> (all E (v3_vectsp_2(E,A) & m1_rmod_2(E,A,B) -> (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].
119.35/118.96	9581 (all A all B (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_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) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> 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_2(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].
119.35/118.96	9582 (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_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) -> -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))) & v12_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].
119.35/118.96	9583 $T # label(t43_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9584 $T # label(t55_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9585 (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 (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_2(C,A,B) -> k2_rmod_3(A,B,C,k1_rmod_2(A,B)) = k1_rmod_2(A,B) & k2_rmod_3(A,B,k1_rmod_2(A,B),C) = k1_rmod_2(A,B))))))) # label(t25_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9586 $T # label(t53_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9587 (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) & 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 (v3_vectsp_2(C,A) & m1_rmod_2(C,A,B) -> k1_rmod_3(A,B,C,C) = C)))))) # label(t8_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9588 (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) & v6_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & v3_vectsp_2(B,A) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> B = k1_rmod_3(A,B,k2_rmod_2(A,B),k2_rmod_2(A,B)))))) # label(t16_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9589 (all A (-v3_struct_0(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) & v6_vectsp_1(A) & v4_group_1(A) -> (all B (-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) -> (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) -> D = k2_rmod_3(A,B,D,C)))) & (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].
119.35/118.96	9590 (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) -> (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) -> (k1_rmod_2(A,B) = k2_rmod_3(A,B,C,D) & 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) <-> r1_rmod_3(A,B,C,D)))))))))) # label(d4_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9591 (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) & 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) -> (r1_rmod_3(A,B,C,D) -> r1_rmod_3(A,B,D,C)))))))))) # label(t46_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9592 (all 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) & 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) -> 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))) & -v3_struct_0(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].
119.35/118.96	9593 (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_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 (v3_vectsp_2(E,A) & m1_rmod_2(E,A,B) -> (u1_struct_0(E) = a_4_0_rmod_3(A,B,C,D) <-> E = k1_rmod_3(A,B,C,D)))))))))))) # label(d1_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9594 (all 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_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_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 ((exists H ((exists I (m1_subset_1(I,u1_struct_0(B)) & k4_rlvect_1(B,H,I) = E & r1_rlvect_1(C,F) & r1_rlvect_1(D,I) & -(G = I & F = H) & r1_rlvect_1(D,G) & r1_rlvect_1(C,H) & k4_rlvect_1(B,F,G) = E)) & m1_subset_1(H,u1_struct_0(B)))) & m1_subset_1(G,u1_struct_0(B)))) & m1_subset_1(F,u1_struct_0(B)))))) | r1_rmod_3(A,B,C,D)))))))))) # label(t52_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9595 (all A all B all C all D all E (-v3_struct_0(B) & v6_rlvect_1(B) & v4_group_1(B) & v7_vectsp_1(B) & v8_vectsp_1(B) & v3_rlvect_1(C) & v5_rlvect_1(C) & v5_vectsp_2(C,B) & m1_rmod_2(D,B,C) & m1_rmod_2(E,B,C) & l1_vectsp_2(C,B) & v6_rlvect_1(C) & v4_rlvect_1(C) & -v3_struct_0(C) & l3_vectsp_1(B) & v6_vectsp_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> ((exists F exists G (A = k4_rlvect_1(C,F,G) & r1_rlvect_1(D,F) & r1_rlvect_1(E,G) & m1_subset_1(G,u1_struct_0(C)) & m1_subset_1(F,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].
119.35/118.96	9596 $T # label(t61_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9597 $T # label(t42_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9598 (all A (-v3_struct_0(A) & v3_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) & v4_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_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].
119.35/118.96	9599 (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) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_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 (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))) -> (r1_rlvect_1(D,k2_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)) & 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 <-> k4_rmod_3(A,B,C,D,E) = F)))))))))))))) # label(d5_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9600 $T # label(t26_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9601 (all A (v3_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) & 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) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) -> (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].
119.35/118.96	9602 (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_struct_0(B) & v3_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) & 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].
119.35/118.96	9603 $T # label(t3_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9604 $T # label(t60_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9605 (all 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) & -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 (v3_vectsp_2(D,A) & m1_rmod_2(D,A,B) -> D = k1_rmod_3(A,B,k2_rmod_3(A,B,C,D),D))))))))) # label(t30_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9606 (all 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) & 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) & v3_vectsp_2(B,A) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_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].
119.35/118.96	9607 (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) & v6_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(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_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].
119.35/118.96	9608 (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) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v4_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) -> (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].
119.35/118.96	9609 (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 (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 (v1_funct_1(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)) -> (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) -> (E = G & D = F -> 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].
119.35/118.96	9610 (all A (-v3_struct_0(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) -> (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) -> k2_rmod_3(A,B,C,D) = k2_rmod_3(A,B,D,C))))))))) # label(t18_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9611 (all 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) & -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_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].
119.35/118.96	9612 $T # label(t59_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9613 (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 (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))) & v14_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))) & v10_lattices(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].
119.35/118.96	9614 (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 (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_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,C,k2_rmod_3(A,B,D,E)) = k2_rmod_3(A,B,k2_rmod_3(A,B,C,D),E))))))))))) # label(t19_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9615 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_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) & v5_rlvect_1(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 (v3_vectsp_2(C,A) & m1_rmod_2(C,A,B) -> 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].
119.35/118.96	9616 (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) & 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 (v3_vectsp_2(C,A) & m1_rmod_2(C,A,B) -> C = k2_rmod_3(A,B,k2_rmod_2(A,B),C) & k2_rmod_3(A,B,C,k2_rmod_2(A,B)) = C)))))) # label(t27_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9617 $T # label(t56_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9618 (all A (v3_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) & 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_rmod_2(C,A,B) -> (all D (v3_vectsp_2(D,A) & m1_rmod_2(D,A,B) -> k2_rmod_3(A,B,D,k1_rmod_3(A,B,D,C)) = D)))))))) # label(t31_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9619 (all A (v3_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) & 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) -> (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,E) -> m1_rmod_2(C,A,k2_rmod_3(A,B,D,E))))))))))))) # label(t24_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.96	9620 (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 (-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 (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) -> ((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) -> (E = G & F = D -> k2_binop_1(k3_rmod_3(A,B),k3_rmod_3(A,B),k3_rmod_3(A,B),C,D,E) = k1_rmod_3(A,B,F,G)))))))))) <-> k5_rmod_3(A,B) = C))))))) # label(d6_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9621 (all 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) & -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(E,A,D) -> m1_rmod_2(k1_rmod_3(A,B,C,E),A,D)))))))))))) # label(t40_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9622 (all A (-v3_struct_0(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) -> (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) -> k1_rmod_3(A,B,k2_rmod_2(A,B),C) = 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)))))))) # label(t15_rmod_3) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9623 (all A (-v3_struct_0(A) & v3_rlvect_1(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) -> (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(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].
119.35/118.97	9624 (all A (-v3_struct_0(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) -> (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_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].
119.35/118.97	9625 (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 (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) -> (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].
119.35/118.97	9626 $T # label(d2_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9627 $T # label(t39_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9628 $T # label(t18_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9629 (all 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) & -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 (m2_finseq_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)) -> (all E (m2_finseq_1(E,u1_struct_0(B)) -> ((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))))) & k3_finseq_1(C) = k3_finseq_1(E) <-> E = k4_rmod_4(A,B,C,D)))))))))))) # label(d8_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9630 (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_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,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))) = k1_rmod_4(A,B,k2_rlvect_2(B,C,D)))))))))) # label(t10_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9631 (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) & v6_vectsp_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)) -> (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].
119.35/118.97	9632 (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 (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(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].
119.35/118.97	9633 (all A all B all C all D (v3_rlvect_1(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) & -v3_struct_0(B) & v3_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) & v4_rlvect_1(B) & l3_vectsp_1(A) & v8_vectsp_1(A) & -v3_struct_0(A) -> (D = C <-> r1_rmod_4(A,B,C,D)))) # label(redefinition_r1_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9634 $T # label(t48_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9635 (all A (v3_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) & v4_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_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].
119.35/118.97	9636 (all A (-v3_struct_0(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) & 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_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].
119.35/118.97	9637 (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 (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))) & v1_finset_1(C) -> (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,C),k1_rmod_4(A,B,k3_rlvect_2(B,C,D))))))))))) # label(t13_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9638 (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 (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_4(D,A,B) -> (all E (m1_rmod_4(E,A,B) -> (m2_rmod_4(D,A,B,C) & m2_rmod_4(E,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].
119.35/118.97	9639 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & -v10_vectsp_1(A) & v2_vectsp_2(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & v5_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_rmod_4(C,A,B) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (D != k1_rlvect_1(A) -> k2_rmod_4(A,B,k7_rmod_4(A,B,D,C)) = k2_rmod_4(A,B,C)))))))))) # label(t59_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9640 (all A (-v3_struct_0(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) -> (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,k1_zfmisc_1(u1_struct_0(B))) -> (k2_group_1(A) != k1_rlvect_1(A) -> (k1_xboole_0 != C & v1_rmod_2(C,A,B) <-> (all D (m2_rmod_4(D,A,B,C) -> r2_hidden(k5_rmod_4(A,B,D),C))))))))))) # label(t40_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9641 (all A all B (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & 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) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> m1_rmod_4(k3_rmod_4(A,B),A,B))) # label(dt_k3_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9642 (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) & 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_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].
119.35/118.97	9643 (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_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(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].
119.35/118.97	9644 (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) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_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) -> (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].
119.35/118.97	9645 (all A (v3_rlvect_1(A) & v4_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) & v5_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_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].
119.35/118.97	9646 (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) & v6_vectsp_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_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(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].
119.35/118.97	9647 (all A all B all C (-v3_struct_0(A) & v3_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) & v3_rlvect_1(B) & v4_rlvect_1(B) & m1_rmod_4(C,A,B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) & v6_rlvect_1(A) & v4_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].
119.35/118.97	9648 $T # label(t30_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9649 $T # label(t57_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9650 (all A all B all C all D (v3_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & -v3_struct_0(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) & v3_rlvect_1(B) & l3_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) -> m1_rmod_4(k9_rmod_4(A,B,C,D),A,B))) # label(dt_k9_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9651 (all A all B all C (-v3_struct_0(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) & v4_rlvect_1(B) & v5_vectsp_2(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v1_finset_1(C) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(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].
119.35/118.97	9652 (all A (-v3_struct_0(A) & v3_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) & 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_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].
119.35/118.97	9653 (all A (-v3_struct_0(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) -> (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 (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_funct_1(C) -> k4_rmod_4(A,B,k6_finseq_1(u1_struct_0(B)),C) = k6_finseq_1(u1_struct_0(B)))))))) # label(t33_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9654 (all A (-v3_struct_0(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) -> (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 (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].
119.35/118.97	9655 (all A (v3_rlvect_1(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_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 (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].
119.35/118.97	9656 (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 (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) -> k2_rmod_4(A,B,C) = a_3_0_rmod_4(A,B,C))))))) # label(d5_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9657 (all 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) & -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 (m2_rmod_4(D,A,B,k7_rlvect_2(B,C)) -> k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,C),C) = k5_rmod_4(A,B,D))))))))) # label(t43_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9658 $T # label(t56_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9659 (all A (-v3_struct_0(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) & v6_vectsp_1(A) & v4_group_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 (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) -> 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].
119.35/118.97	9660 (all A all B all C (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v3_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & m1_rmod_4(C,A,B) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & v7_vectsp_1(A) & v6_vectsp_1(A) & v5_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].
119.35/118.97	9661 (all A (-v3_struct_0(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) -> (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)) -> (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].
119.35/118.97	9662 (all A (-v3_struct_0(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) -> (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 (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))) -> (r1_xboole_0(C,D) -> 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))))))))))) # label(t9_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9663 (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 (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_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v1_finset_1(C) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (D = k1_rmod_4(A,B,C) <-> (exists E (v2_funct_1(E) & D = k9_rlvect_1(B,E) & C = k2_relat_1(E) & m2_finseq_1(E,u1_struct_0(B))))))))))))) # label(d3_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9664 $T # label(t17_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9665 $T # label(t38_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9666 (all A all B all C all D (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_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) & v5_rlvect_1(B) & -v3_struct_0(B) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(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].
119.35/118.97	9667 (all A all B all C all D (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_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_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) & v3_rlvect_1(B) & -v3_struct_0(B) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_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].
119.35/118.97	9668 (all A (v3_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) & v4_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) -> k5_rmod_4(A,B,k3_rmod_4(A,B)) = k1_rlvect_1(B))))) # label(t41_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9669 (all A (v3_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) & 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(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)) -> (G = k1_funct_1(E,F) & r2_hidden(F,k1_relat_1(D)) -> k6_vectsp_2(A,B,C,G) = k1_funct_1(D,F)))))) & k3_finseq_1(D) = k3_finseq_1(E) -> k9_rlvect_1(B,D) = k6_vectsp_2(A,B,C,k9_rlvect_1(B,E))))))))))))) # label(t1_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9670 (all A all B all C (v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & m1_rmod_4(C,A,B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v8_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> k8_rmod_4(A,B,k8_rmod_4(A,B,C)) = C)) # label(involutiveness_k8_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9671 $T # label(t72_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9672 $T # label(t49_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9673 $T # label(t16_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9674 (all A all B all C all D (-v3_struct_0(A) & v3_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) & m1_rmod_4(D,A,B) & m1_subset_1(C,u1_struct_0(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) & v4_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].
119.35/118.97	9675 (all 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) & 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_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].
119.35/118.97	9676 (all A (v4_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) & 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) -> k1_rlvect_1(B) = k1_rmod_4(A,B,k1_pre_topc(B)))))) # label(t5_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9677 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v7_group_1(A) & v6_rlvect_1(A) & v5_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) -> (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].
119.35/118.97	9678 (all A (-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) -> (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,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,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].
119.35/118.97	9679 (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_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) -> 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].
119.35/118.97	9680 (all A (-v3_struct_0(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) -> (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,u1_struct_0(B)) -> k1_rmod_4(A,B,k7_rlvect_2(B,C)) = C)))))) # label(t6_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9681 (all 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) & -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)) -> (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].
119.35/118.97	9682 (all 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) & v6_vectsp_1(A) & v8_vectsp_1(A) & -v10_vectsp_1(A) & v2_vectsp_2(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v3_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_rmod_4(C,A,B) -> (all D (m1_rmod_4(D,A,B) -> k6_rlvect_1(B,k5_rmod_4(A,B,C),k5_rmod_4(A,B,D)) = k5_rmod_4(A,B,k9_rmod_4(A,B,C,D)))))))))) # label(t80_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9683 (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) & 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))) -> (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].
119.35/118.97	9684 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v7_group_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) -> (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_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].
119.35/118.97	9685 (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) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_rlvect_1(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_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].
119.35/118.97	9686 (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 (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_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))) <-> k6_rmod_4(A,B,C,D) = E))))))))))) # label(d11_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9687 (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_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,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].
119.35/118.97	9688 (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) & v8_vectsp_1(A) & l3_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) & 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(A)) -> (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)) -> k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,F) = k1_group_1(A,k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,F),C))) <-> E = k7_rmod_4(A,B,C,D)))))))))))) # label(d12_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9689 $T # label(d1_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9690 $T # label(t31_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9691 (all A all B all C all D (-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) & -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) & m1_rmod_4(C,A,B) & m1_rmod_4(D,A,B) & v4_rlvect_1(B) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> m1_rmod_4(k6_rmod_4(A,B,C,D),A,B))) # label(dt_k6_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9692 (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) & v6_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) & 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_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)) -> 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))))))))))))) # label(t44_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9693 (all A (-v3_struct_0(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) -> (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)) -> (all D (m1_rmod_4(D,A,B) -> (-r2_hidden(C,k2_rmod_4(A,B,D)) <-> k1_rlvect_1(A) = k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,C)))))))))) # label(t20_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9694 (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 (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_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].
119.35/118.97	9695 $T # label(t71_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9696 $T # label(t29_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9697 (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 (-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_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)) -> 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)) = k4_rmod_4(A,B,k2_finseq_4(u1_struct_0(B),C,D),E))))))))))) # label(t35_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9698 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_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) & v4_group_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_rmod_4(C,A,B) -> k5_rmod_4(A,B,k8_rmod_4(A,B,C)) = k5_rlvect_1(B,k5_rmod_4(A,B,C)))))))) # label(t79_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9699 (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) & 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_rmod_4(C,A,B) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (D = k5_rmod_4(A,B,C) <-> (exists E (k2_relat_1(E) = k2_rmod_4(A,B,C) & k9_rlvect_1(B,k4_rmod_4(A,B,E,C)) = D & v2_funct_1(E) & m2_finseq_1(E,u1_struct_0(B))))))))))))) # label(d9_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9700 (all A (v3_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) & v4_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 (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].
119.35/118.97	9701 (all 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) & v6_vectsp_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_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(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].
119.35/118.97	9702 (all A all B all C all D (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v4_group_1(B) & v6_vectsp_1(B) & v5_vectsp_2(C,B) & m1_rmod_4(D,B,C) & l1_vectsp_2(C,B) & v6_rlvect_1(C) & v5_rlvect_1(C) & v4_rlvect_1(C) & v3_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 E (m1_subset_1(E,u1_struct_0(C)) & A = E & k8_funct_2(u1_struct_0(C),u1_struct_0(B),D,E) != k1_rlvect_1(B))) <-> r2_hidden(A,a_3_0_rmod_4(B,C,D))))) # label(fraenkel_a_3_0_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9703 (all A (-v3_struct_0(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) & 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_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),C,E) = k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,E)))))))))))) # label(d10_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9704 (all A (-v3_struct_0(A) & v3_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) & 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 (m2_finseq_1(C,u1_struct_0(B)) -> (all D (m2_finseq_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,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].
119.35/118.97	9705 (all A (v4_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) & 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_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)) -> -(C != D & D != E & C != E & k4_rlvect_1(B,k4_rlvect_1(B,C,D),E) != k1_rmod_4(A,B,k9_rlvect_2(B,C,D,E))))))))))))) # label(t8_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9706 $T # label(t66_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9707 (all A (v4_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) & 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 (m2_rmod_4(C,A,B,k1_subset_1(u1_struct_0(B))) -> C = k3_rmod_4(A,B))))))) # label(t27_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9708 (all A (-v3_struct_0(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) -> (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 (m1_rmod_4(C,A,B) -> (k1_xboole_0 = k2_rmod_4(A,B,C) <-> k3_rmod_4(A,B) = C))))))) # label(d6_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9709 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(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) & l3_vectsp_1(A) & v2_vectsp_2(A) & v5_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_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].
119.35/118.97	9710 (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) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(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 all D (m1_rmod_4(D,A,B) -> ((exists E (C = E & k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,E) != k1_rlvect_1(A) & m1_subset_1(E,u1_struct_0(B)))) <-> r2_hidden(C,k2_rmod_4(A,B,D))))))))) # label(t19_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9711 (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) & v6_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) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) -> (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 (v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(A)) & m2_relset_1(F,u1_struct_0(B),u1_struct_0(A)) -> (k1_funct_1(E,C) = D & 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].
119.35/118.97	9712 (all 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_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 (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].
119.35/118.97	9713 $T # label(t21_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9714 (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) -> (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,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].
119.35/118.97	9715 $T # label(t23_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9716 (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_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,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].
119.35/118.97	9717 (all 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) & 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,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)) -> k4_rmod_4(A,B,k12_finseq_1(u1_struct_0(B),C),D) = 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)))))))))) # label(t34_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.97	9718 (all A all B all C (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & -v3_struct_0(B) & v4_rlvect_1(B) & v5_vectsp_2(B,A) & m1_rmod_4(C,A,B) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & l3_vectsp_1(A) & v7_vectsp_1(A) & v3_rlvect_1(A) & -v3_struct_0(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].
119.35/118.97	9719 (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 (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,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].
119.35/118.97	9720 (all A (v3_rlvect_1(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_struct_0(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_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) -> (k2_rmod_4(A,B,E) = k8_rlvect_2(B,C,D) -> 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)) | C = D))))))))))) # label(t47_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.98	9721 (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) & 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_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].
119.35/118.98	9722 (all A all B all C (v3_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v5_vectsp_2(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & v8_vectsp_1(A) & v6_rlvect_1(A) & v4_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].
119.35/118.98	9723 (all A all B all C all D (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & -v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & m1_rmod_4(C,A,B) & m1_rmod_4(D,A,B) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> r1_rmod_4(A,B,C,C))) # label(reflexivity_r1_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.98	9724 (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) & v6_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) & 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_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].
119.35/118.98	9725 $T # label(t24_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.98	9726 (all A (-v3_struct_0(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) & v6_vectsp_1(A) & v5_rlvect_1(A) & v4_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))) -> (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].
119.35/118.98	9727 (all 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) & -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 (m2_rmod_4(C,A,B,k1_subset_1(u1_struct_0(B))) -> k5_rmod_4(A,B,C) = k1_rlvect_1(B))))))) # label(t42_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.98	9728 (all A all B (-v3_struct_0(A) & v3_rlvect_1(A) & v5_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) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & l3_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (exists C m1_rmod_4(C,A,B)))) # label(existence_m1_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.98	9729 (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) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_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)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (D != C -> 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].
119.35/118.98	9730 (all 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) & 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) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) -> (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].
119.35/118.98	9731 $T # label(t50_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.98	9732 (all A (-v3_struct_0(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) -> (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_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].
119.35/118.98	9733 (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_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_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].
119.35/118.98	9734 (all A all B all C (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (exists D m2_rmod_4(D,A,B,C)))) # label(existence_m2_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.98	9735 (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_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_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 (m2_fraenkel(C,u1_struct_0(B),u1_struct_0(A),k1_fraenkel(u1_struct_0(B),u1_struct_0(A))) -> ((exists D ((all E (m1_subset_1(E,u1_struct_0(B)) -> (-r2_hidden(E,D) -> k1_rlvect_1(A) = k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,E)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v1_finset_1(D))) <-> m1_rmod_4(C,A,B)))))))) # label(d4_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.98	9736 (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 (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)) -> k8_funct_2(u1_struct_0(B),u1_struct_0(A),k3_rmod_4(A,B),C) = k1_rlvect_1(A))))))) # label(t22_rmod_4) # label(axiom) # label(non_clause).  [assumption].
119.35/118.98	9737 (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) & 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(B)) -> (k1_rlvect_1(A) != k2_group_1(A) -> -v1_rmod_5(k8_rlvect_2(B,C,k1_rlvect_1(B)),A,B) & -v1_rmod_5(k8_rlvect_2(B,k1_rlvect_1(B),C),A,B)))))))) # label(t6_rmod_5) # label(axiom) # label(non_clause).  [assumption].
119.35/118.98	9738 $T # label(t1_rmod_5) # label(axiom) # label(non_clause).  [assumption].
119.35/118.98	9739 (all A all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v4_group_1(B) & v7_group_1(B) & v7_vectsp_1(B) & -v10_vectsp_1(B) & l3_vectsp_1(B) & v2_vectsp_2(B) & v8_vectsp_1(B) & v6_vectsp_1(B) & v6_rlvect_1(B) & v3_rlvect_1(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_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].
119.35/118.98	9740 (all A (-v3_struct_0(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) -> (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_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> ((all D (m2_rmod_4(D,A,B,C) -> (k5_rmod_4(A,B,D) = k1_rlvect_1(B) -> k1_xboole_0 = k2_rmod_4(A,B,D)))) <-> v1_rmod_5(C,A,B)))))))) # label(d1_rmod_5) # label(axiom) # label(non_clause).  [assumption].
119.35/118.98	9741 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_group_1(A) & v6_vectsp_1(A) & -v10_vectsp_1(A) & v2_vectsp_2(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(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 (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_rmod_2(D,A,B) & v3_vectsp_2(D,A) -> (a_3_0_rmod_5(A,B,C) = u1_struct_0(D) <-> k1_rmod_5(A,B,C) = D))))))))) # label(d2_rmod_5) # label(axiom) # label(non_clause).  [assumption].
119.35/118.98	9742 (all A all B all C (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_group_1(A) & v6_vectsp_1(A) & v3_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & l3_vectsp_1(A) & v2_vectsp_2(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & -v3_struct_0(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].
119.35/118.98	9743 $T # label(t7_rmod_5) # label(axiom) # label(non_clause).  [assumption].
119.35/118.98	9744 (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) & 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_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> -(k1_rlvect_1(A) != k2_group_1(A) & r2_hidden(k1_rlvect_1(B),C) & v1_rmod_5(C,A,B)))))))) # label(t3_rmod_5) # label(axiom) # label(non_clause).  [assumption].
119.35/118.98	9745 $T # label(t8_rmod_5) # label(axiom) # label(non_clause).  [assumption].
119.35/118.98	9746 (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_vectsp_1(A) & v6_rlvect_1(A) & v4_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) -> (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) -> k1_rlvect_1(B) != D & C != k1_rlvect_1(B) | k2_group_1(A) = k1_rlvect_1(A)))))))))) # label(t5_rmod_5) # label(axiom) # label(non_clause).  [assumption].
119.35/118.98	9747 (all A (-v3_struct_0(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) -> (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) -> v1_rmod_5(k1_subset_1(u1_struct_0(B)),A,B))))) # label(t4_rmod_5) # label(axiom) # label(non_clause).  [assumption].
119.35/118.98	9748 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsCputime limit exceeded (core dumped)
180.07/179.67	EOF